Regenerate code

20 files changed, 5357 insertions, 668 deletions

diff --git a/ML_BSSN_MP/param.ccl b/ML_BSSN_MP/param.ccl
index 80d0e00..20708c5 100644
--- a/ML_BSSN_MP/param.ccl
+++ b/ML_BSSN_MP/param.ccl
@@ -142,6 +142,12 @@ CCTK_INT conformalMethod "Treatment of conformal factor"
   *:* :: ""
 } 0
 
+restricted:
+CCTK_INT fdOrder "fdOrder"
+{
+  *:* :: ""
+} 4
+
 private:
 KEYWORD my_initial_data "my_initial_data"
 {
diff --git a/ML_BSSN_MP/src/Differencing.h b/ML_BSSN_MP/src/Differencing.h
index 3fab658..5b657ef 100644
--- a/ML_BSSN_MP/src/Differencing.h
+++ b/ML_BSSN_MP/src/Differencing.h
@@ -2,11 +2,47 @@
 #include "vectors.h"
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDstandardNth1(u) (kmul(p1o12dx,kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-8),kmsub(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(8),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]))))))
+#  define PDstandardNthfdOrder21(u) (kmul(p1o2dx,ksub(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]))))
 #else
-#  define PDstandardNth1(u) (PDstandardNth1_impl(u,p1o12dx,cdj,cdk))
-static CCTK_REAL_VEC PDstandardNth1_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDstandardNth1_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDstandardNthfdOrder21(u) (PDstandardNthfdOrder21_impl(u,p1o2dx,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o2dx,ksub(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)])));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder22(u) (kmul(p1o2dy,ksub(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]))))
+#else
+#  define PDstandardNthfdOrder22(u) (PDstandardNthfdOrder22_impl(u,p1o2dy,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o2dy,ksub(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)])));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder23(u) (kmul(p1o2dz,ksub(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]))))
+#else
+#  define PDstandardNthfdOrder23(u) (PDstandardNthfdOrder23_impl(u,p1o2dz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o2dz,ksub(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)])));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder41(u) (kmul(p1o12dx,kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-8),kmsub(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(8),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]))))))
+#else
+#  define PDstandardNthfdOrder41(u) (PDstandardNthfdOrder41_impl(u,p1o12dx,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o12dx,kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-8),kmsub(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(8),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])))));
@@ -14,11 +50,11 @@ static CCTK_REAL_VEC PDstandardNth1_impl(CCTK_REAL const* restrict const u, CCTK
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDstandardNth2(u) (kmul(p1o12dy,kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-8),kmsub(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(8),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]))))))
+#  define PDstandardNthfdOrder42(u) (kmul(p1o12dy,kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-8),kmsub(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(8),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]))))))
 #else
-#  define PDstandardNth2(u) (PDstandardNth2_impl(u,p1o12dy,cdj,cdk))
-static CCTK_REAL_VEC PDstandardNth2_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDstandardNth2_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDstandardNthfdOrder42(u) (PDstandardNthfdOrder42_impl(u,p1o12dy,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o12dy,kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-8),kmsub(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(8),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])))));
@@ -26,11 +62,11 @@ static CCTK_REAL_VEC PDstandardNth2_impl(CCTK_REAL const* restrict const u, CCTK
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDstandardNth3(u) (kmul(p1o12dz,kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-8),kmsub(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(8),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]))))))
+#  define PDstandardNthfdOrder43(u) (kmul(p1o12dz,kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-8),kmsub(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(8),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]))))))
 #else
-#  define PDstandardNth3(u) (PDstandardNth3_impl(u,p1o12dz,cdj,cdk))
-static CCTK_REAL_VEC PDstandardNth3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDstandardNth3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDstandardNthfdOrder43(u) (PDstandardNthfdOrder43_impl(u,p1o12dz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o12dz,kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-8),kmsub(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(8),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])))));
@@ -38,11 +74,119 @@ static CCTK_REAL_VEC PDstandardNth3_impl(CCTK_REAL const* restrict const u, CCTK
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDstandardNth11(u) (kmul(pm1o12dx2,kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(-16),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(30)))))))
+#  define PDstandardNthfdOrder61(u) (kmul(p1o60dx,kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-45),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),ToReal(-9),ksub(kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),ToReal(9),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(45))),vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)])))))))
+#else
+#  define PDstandardNthfdOrder61(u) (PDstandardNthfdOrder61_impl(u,p1o60dx,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder61_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o60dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder61_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o60dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o60dx,kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-45),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),ToReal(-9),ksub(kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),ToReal(9),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(45))),vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder62(u) (kmul(p1o60dy,kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-45),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),ToReal(-9),ksub(kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),ToReal(9),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(45))),vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)])))))))
+#else
+#  define PDstandardNthfdOrder62(u) (PDstandardNthfdOrder62_impl(u,p1o60dy,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder62_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o60dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder62_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o60dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o60dy,kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-45),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),ToReal(-9),ksub(kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),ToReal(9),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(45))),vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder63(u) (kmul(p1o60dz,kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-45),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),ToReal(-9),ksub(kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),ToReal(9),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(45))),vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)])))))))
+#else
+#  define PDstandardNthfdOrder63(u) (PDstandardNthfdOrder63_impl(u,p1o60dz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder63_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o60dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder63_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o60dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o60dz,kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-45),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),ToReal(-9),ksub(kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),ToReal(9),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(45))),vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder81(u) (kmul(p1o840dx,kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-672),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),ToReal(-168),kmadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),ToReal(-32),kmadd(vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)]),ToReal(-3),kmadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),ToReal(3),kmadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),ToReal(32),kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),ToReal(168),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(672)))))))))))
+#else
+#  define PDstandardNthfdOrder81(u) (PDstandardNthfdOrder81_impl(u,p1o840dx,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder81_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o840dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder81_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o840dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o840dx,kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-672),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),ToReal(-168),kmadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),ToReal(-32),kmadd(vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)]),ToReal(-3),kmadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),ToReal(3),kmadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),ToReal(32),kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),ToReal(168),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(672))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder82(u) (kmul(p1o840dy,kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-672),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),ToReal(-168),kmadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),ToReal(-32),kmadd(vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)]),ToReal(-3),kmadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),ToReal(3),kmadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),ToReal(32),kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),ToReal(168),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(672)))))))))))
+#else
+#  define PDstandardNthfdOrder82(u) (PDstandardNthfdOrder82_impl(u,p1o840dy,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder82_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o840dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder82_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o840dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o840dy,kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-672),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),ToReal(-168),kmadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),ToReal(-32),kmadd(vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)]),ToReal(-3),kmadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),ToReal(3),kmadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),ToReal(32),kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),ToReal(168),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(672))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder83(u) (kmul(p1o840dz,kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-672),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),ToReal(-168),kmadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),ToReal(-32),kmadd(vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)]),ToReal(-3),kmadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),ToReal(3),kmadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),ToReal(32),kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),ToReal(168),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(672)))))))))))
+#else
+#  define PDstandardNthfdOrder83(u) (PDstandardNthfdOrder83_impl(u,p1o840dz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder83_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o840dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder83_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o840dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o840dz,kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-672),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),ToReal(-168),kmadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),ToReal(-32),kmadd(vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)]),ToReal(-3),kmadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),ToReal(3),kmadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),ToReal(32),kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),ToReal(168),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(672))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder211(u) (kmul(p1odx2,kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-2),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])))))
 #else
-#  define PDstandardNth11(u) (PDstandardNth11_impl(u,pm1o12dx2,cdj,cdk))
-static CCTK_REAL_VEC PDstandardNth11_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDstandardNth11_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDstandardNthfdOrder211(u) (PDstandardNthfdOrder211_impl(u,p1odx2,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder211_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1odx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder211_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1odx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1odx2,kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-2),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder222(u) (kmul(p1ody2,kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-2),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])))))
+#else
+#  define PDstandardNthfdOrder222(u) (PDstandardNthfdOrder222_impl(u,p1ody2,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder222_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1ody2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder222_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1ody2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1ody2,kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-2),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder233(u) (kmul(p1odz2,kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-2),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])))))
+#else
+#  define PDstandardNthfdOrder233(u) (PDstandardNthfdOrder233_impl(u,p1odz2,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder233_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1odz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder233_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1odz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1odz2,kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-2),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder411(u) (kmul(pm1o12dx2,kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(-16),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(30)))))))
+#else
+#  define PDstandardNthfdOrder411(u) (PDstandardNthfdOrder411_impl(u,pm1o12dx2,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder411_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder411_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(pm1o12dx2,kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(-16),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(30))))));
@@ -50,11 +194,11 @@ static CCTK_REAL_VEC PDstandardNth11_impl(CCTK_REAL const* restrict const u, CCT
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDstandardNth22(u) (kmul(pm1o12dy2,kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(-16),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(30)))))))
+#  define PDstandardNthfdOrder422(u) (kmul(pm1o12dy2,kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(-16),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(30)))))))
 #else
-#  define PDstandardNth22(u) (PDstandardNth22_impl(u,pm1o12dy2,cdj,cdk))
-static CCTK_REAL_VEC PDstandardNth22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDstandardNth22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDstandardNthfdOrder422(u) (PDstandardNthfdOrder422_impl(u,pm1o12dy2,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder422_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder422_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(pm1o12dy2,kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(-16),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(30))))));
@@ -62,11 +206,11 @@ static CCTK_REAL_VEC PDstandardNth22_impl(CCTK_REAL const* restrict const u, CCT
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDstandardNth33(u) (kmul(pm1o12dz2,kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(-16),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(30)))))))
+#  define PDstandardNthfdOrder433(u) (kmul(pm1o12dz2,kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(-16),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(30)))))))
 #else
-#  define PDstandardNth33(u) (PDstandardNth33_impl(u,pm1o12dz2,cdj,cdk))
-static CCTK_REAL_VEC PDstandardNth33_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDstandardNth33_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDstandardNthfdOrder433(u) (PDstandardNthfdOrder433_impl(u,pm1o12dz2,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder433_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder433_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(pm1o12dz2,kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(-16),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(30))))));
@@ -74,11 +218,155 @@ static CCTK_REAL_VEC PDstandardNth33_impl(CCTK_REAL const* restrict const u, CCT
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDstandardNth12(u) (kmul(p1o144dxdy,kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(64))),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]))))))))
+#  define PDstandardNthfdOrder611(u) (kmul(p1o180dx2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-490),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-27),kmadd(kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)])),ToReal(2),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(270)))))))
+#else
+#  define PDstandardNthfdOrder611(u) (PDstandardNthfdOrder611_impl(u,p1o180dx2,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder611_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o180dx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder611_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o180dx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o180dx2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-490),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-27),kmadd(kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)])),ToReal(2),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(270))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder622(u) (kmul(p1o180dy2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-490),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-27),kmadd(kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)])),ToReal(2),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(270)))))))
+#else
+#  define PDstandardNthfdOrder622(u) (PDstandardNthfdOrder622_impl(u,p1o180dy2,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder622_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o180dy2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder622_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o180dy2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o180dy2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-490),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-27),kmadd(kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)])),ToReal(2),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(270))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder633(u) (kmul(p1o180dz2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-490),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-27),kmadd(kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)])),ToReal(2),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(270)))))))
+#else
+#  define PDstandardNthfdOrder633(u) (PDstandardNthfdOrder633_impl(u,p1o180dz2,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder633_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o180dz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder633_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o180dz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o180dz2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-490),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-27),kmadd(kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)])),ToReal(2),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(270))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder811(u) (kmul(p1o5040dx2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-14350),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-1008),kmadd(kadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)])),ToReal(128),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(8064))))))))
+#else
+#  define PDstandardNthfdOrder811(u) (PDstandardNthfdOrder811_impl(u,p1o5040dx2,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder811_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o5040dx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder811_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o5040dx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o5040dx2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-14350),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-1008),kmadd(kadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)])),ToReal(128),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(8064)))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder822(u) (kmul(p1o5040dy2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-14350),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-1008),kmadd(kadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)])),ToReal(128),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(8064))))))))
+#else
+#  define PDstandardNthfdOrder822(u) (PDstandardNthfdOrder822_impl(u,p1o5040dy2,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder822_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o5040dy2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder822_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o5040dy2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o5040dy2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-14350),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-1008),kmadd(kadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)])),ToReal(128),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(8064)))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder833(u) (kmul(p1o5040dz2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-14350),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-1008),kmadd(kadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)])),ToReal(128),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(8064))))))))
+#else
+#  define PDstandardNthfdOrder833(u) (PDstandardNthfdOrder833_impl(u,p1o5040dz2,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder833_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o5040dz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder833_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o5040dz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o5040dz2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-14350),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-1008),kmadd(kadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)])),ToReal(128),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(8064)))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder212(u) (kmul(p1o4dxdy,kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),ksub(vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]))))))
 #else
-#  define PDstandardNth12(u) (PDstandardNth12_impl(u,p1o144dxdy,cdj,cdk))
-static CCTK_REAL_VEC PDstandardNth12_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDstandardNth12_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDstandardNthfdOrder212(u) (PDstandardNthfdOrder212_impl(u,p1o4dxdy,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder212_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder212_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o4dxdy,kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),ksub(vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)])))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder213(u) (kmul(p1o4dxdz,kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),ksub(vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)]),kadd(vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]))))))
+#else
+#  define PDstandardNthfdOrder213(u) (PDstandardNthfdOrder213_impl(u,p1o4dxdz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder213_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder213_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o4dxdz,kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),ksub(vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)]),kadd(vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)])))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder221(u) (kmul(p1o4dxdy,kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),ksub(vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]))))))
+#else
+#  define PDstandardNthfdOrder221(u) (PDstandardNthfdOrder221_impl(u,p1o4dxdy,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder221_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder221_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o4dxdy,kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),ksub(vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)])))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder223(u) (kmul(p1o4dydz,kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),ksub(vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)]),kadd(vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)]),vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]))))))
+#else
+#  define PDstandardNthfdOrder223(u) (PDstandardNthfdOrder223_impl(u,p1o4dydz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder223_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder223_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o4dydz,kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),ksub(vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)]),kadd(vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)]),vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)])))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder231(u) (kmul(p1o4dxdz,kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),ksub(vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)]),kadd(vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]))))))
+#else
+#  define PDstandardNthfdOrder231(u) (PDstandardNthfdOrder231_impl(u,p1o4dxdz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder231_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder231_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o4dxdz,kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),ksub(vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)]),kadd(vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)])))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder232(u) (kmul(p1o4dydz,kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),ksub(vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)]),kadd(vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)]),vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]))))))
+#else
+#  define PDstandardNthfdOrder232(u) (PDstandardNthfdOrder232_impl(u,p1o4dydz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder232_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder232_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o4dydz,kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),ksub(vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)]),kadd(vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)]),vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)])))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder412(u) (kmul(p1o144dxdy,kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(64))),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]))))))))
+#else
+#  define PDstandardNthfdOrder412(u) (PDstandardNthfdOrder412_impl(u,p1o144dxdy,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder412_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder412_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o144dxdy,kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(64))),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)])))))));
@@ -86,11 +374,11 @@ static CCTK_REAL_VEC PDstandardNth12_impl(CCTK_REAL const* restrict const u, CCT
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDstandardNth13(u) (kmul(p1o144dxdz,kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(64))),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]))))))))
+#  define PDstandardNthfdOrder413(u) (kmul(p1o144dxdz,kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(64))),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]))))))))
 #else
-#  define PDstandardNth13(u) (PDstandardNth13_impl(u,p1o144dxdz,cdj,cdk))
-static CCTK_REAL_VEC PDstandardNth13_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDstandardNth13_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDstandardNthfdOrder413(u) (PDstandardNthfdOrder413_impl(u,p1o144dxdz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder413_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder413_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o144dxdz,kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(64))),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)])))))));
@@ -98,11 +386,11 @@ static CCTK_REAL_VEC PDstandardNth13_impl(CCTK_REAL const* restrict const u, CCT
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDstandardNth21(u) (kmul(p1o144dxdy,kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(64))),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]))))))))
+#  define PDstandardNthfdOrder421(u) (kmul(p1o144dxdy,kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(64))),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]))))))))
 #else
-#  define PDstandardNth21(u) (PDstandardNth21_impl(u,p1o144dxdy,cdj,cdk))
-static CCTK_REAL_VEC PDstandardNth21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDstandardNth21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDstandardNthfdOrder421(u) (PDstandardNthfdOrder421_impl(u,p1o144dxdy,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder421_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder421_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o144dxdy,kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(64))),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)])))))));
@@ -110,11 +398,11 @@ static CCTK_REAL_VEC PDstandardNth21_impl(CCTK_REAL const* restrict const u, CCT
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDstandardNth23(u) (kmul(p1o144dydz,kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(64))),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]))))))))
+#  define PDstandardNthfdOrder423(u) (kmul(p1o144dydz,kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(64))),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]))))))))
 #else
-#  define PDstandardNth23(u) (PDstandardNth23_impl(u,p1o144dydz,cdj,cdk))
-static CCTK_REAL_VEC PDstandardNth23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDstandardNth23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDstandardNthfdOrder423(u) (PDstandardNthfdOrder423_impl(u,p1o144dydz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder423_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder423_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o144dydz,kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(64))),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)])))))));
@@ -122,11 +410,11 @@ static CCTK_REAL_VEC PDstandardNth23_impl(CCTK_REAL const* restrict const u, CCT
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDstandardNth31(u) (kmul(p1o144dxdz,kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(64))),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]))))))))
+#  define PDstandardNthfdOrder431(u) (kmul(p1o144dxdz,kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(64))),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]))))))))
 #else
-#  define PDstandardNth31(u) (PDstandardNth31_impl(u,p1o144dxdz,cdj,cdk))
-static CCTK_REAL_VEC PDstandardNth31_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDstandardNth31_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDstandardNthfdOrder431(u) (PDstandardNthfdOrder431_impl(u,p1o144dxdz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder431_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder431_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o144dxdz,kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(64))),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)])))))));
@@ -134,11 +422,11 @@ static CCTK_REAL_VEC PDstandardNth31_impl(CCTK_REAL const* restrict const u, CCT
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDstandardNth32(u) (kmul(p1o144dydz,kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(64))),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]))))))))
+#  define PDstandardNthfdOrder432(u) (kmul(p1o144dydz,kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(64))),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]))))))))
 #else
-#  define PDstandardNth32(u) (PDstandardNth32_impl(u,p1o144dydz,cdj,cdk))
-static CCTK_REAL_VEC PDstandardNth32_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDstandardNth32_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDstandardNthfdOrder432(u) (PDstandardNthfdOrder432_impl(u,p1o144dydz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder432_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder432_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o144dydz,kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-64),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-8),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(8),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(64))),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)])))))));
@@ -146,11 +434,191 @@ static CCTK_REAL_VEC PDstandardNth32_impl(CCTK_REAL const* restrict const u, CCT
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDdissipationNth1(u) (kmul(p1o64dx,kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(15))))))))
+#  define PDstandardNthfdOrder612(u) (kmul(p1o3600dxdy,kadd(vec_loadu_maybe3(-3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(3)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-2025),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-405),kmadd(kadd(vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),ToReal(-81),kmadd(kadd(vec_loadu_maybe3(-1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-1)+cdk*(0)])))),ToReal(-45),kmadd(kadd(vec_loadu_maybe3(-2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(2)+cdk*(0)])))),ToReal(-9),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-2)+cdk*(0)])))),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(1)+cdk*(0)])))),ToReal(45),kmadd(kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)])),ToReal(81),kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(405),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(2025)))))),vec_loadu_maybe3(3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-3)+cdk*(0)])),vec_loadu_maybe3(-3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(3)+cdk*(0)])))))))))))
+#else
+#  define PDstandardNthfdOrder612(u) (PDstandardNthfdOrder612_impl(u,p1o3600dxdy,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder612_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o3600dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder612_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o3600dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o3600dxdy,kadd(vec_loadu_maybe3(-3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(3)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-2025),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-405),kmadd(kadd(vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),ToReal(-81),kmadd(kadd(vec_loadu_maybe3(-1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-1)+cdk*(0)])))),ToReal(-45),kmadd(kadd(vec_loadu_maybe3(-2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(2)+cdk*(0)])))),ToReal(-9),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-2)+cdk*(0)])))),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(1)+cdk*(0)])))),ToReal(45),kmadd(kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)])),ToReal(81),kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(405),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(2025)))))),vec_loadu_maybe3(3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-3)+cdk*(0)])),vec_loadu_maybe3(-3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(3)+cdk*(0)]))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder613(u) (kmul(p1o3600dxdz,kadd(vec_loadu_maybe3(-3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(3)]),kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-2025),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-405),kmadd(kadd(vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),ToReal(-81),kmadd(kadd(vec_loadu_maybe3(-1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-1)])))),ToReal(-45),kmadd(kadd(vec_loadu_maybe3(-2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(2)])))),ToReal(-9),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-2)])))),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(1)])))),ToReal(45),kmadd(kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)])),ToReal(81),kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(405),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(2025)))))),vec_loadu_maybe3(3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-3)])),vec_loadu_maybe3(-3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(3)])))))))))))
+#else
+#  define PDstandardNthfdOrder613(u) (PDstandardNthfdOrder613_impl(u,p1o3600dxdz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder613_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o3600dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder613_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o3600dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o3600dxdz,kadd(vec_loadu_maybe3(-3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(3)]),kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-2025),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-405),kmadd(kadd(vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),ToReal(-81),kmadd(kadd(vec_loadu_maybe3(-1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-1)])))),ToReal(-45),kmadd(kadd(vec_loadu_maybe3(-2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(2)])))),ToReal(-9),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-2)])))),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(1)])))),ToReal(45),kmadd(kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)])),ToReal(81),kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(405),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(2025)))))),vec_loadu_maybe3(3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-3)])),vec_loadu_maybe3(-3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(3)]))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder621(u) (kmul(p1o3600dxdy,kadd(vec_loadu_maybe3(-3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(3)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-2025),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-405),kmadd(kadd(vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),ToReal(-81),kmadd(kadd(vec_loadu_maybe3(-1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-1)+cdk*(0)])))),ToReal(-45),kmadd(kadd(vec_loadu_maybe3(-2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(2)+cdk*(0)])))),ToReal(-9),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-2)+cdk*(0)])))),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(1)+cdk*(0)])))),ToReal(45),kmadd(kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)])),ToReal(81),kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(405),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(2025)))))),vec_loadu_maybe3(3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-3)+cdk*(0)])),vec_loadu_maybe3(-3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(3)+cdk*(0)])))))))))))
+#else
+#  define PDstandardNthfdOrder621(u) (PDstandardNthfdOrder621_impl(u,p1o3600dxdy,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder621_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o3600dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder621_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o3600dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o3600dxdy,kadd(vec_loadu_maybe3(-3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(3)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-2025),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-405),kmadd(kadd(vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),ToReal(-81),kmadd(kadd(vec_loadu_maybe3(-1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-1)+cdk*(0)])))),ToReal(-45),kmadd(kadd(vec_loadu_maybe3(-2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(2)+cdk*(0)])))),ToReal(-9),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-2)+cdk*(0)])))),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(1)+cdk*(0)])))),ToReal(45),kmadd(kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)])),ToReal(81),kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(405),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(2025)))))),vec_loadu_maybe3(3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-3)+cdk*(0)])),vec_loadu_maybe3(-3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(3)+cdk*(0)]))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder623(u) (kmul(p1o3600dydz,kadd(vec_loadu_maybe3(0,-3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(3)]),kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-2025),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-405),kmadd(kadd(vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),ToReal(-81),kmadd(kadd(vec_loadu_maybe3(0,-1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(1)]),vec_loadu_maybe3(0,3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-1)])))),ToReal(-45),kmadd(kadd(vec_loadu_maybe3(0,-2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-2)]),vec_loadu_maybe3(0,3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(2)])))),ToReal(-9),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(0,-2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(2)]),vec_loadu_maybe3(0,3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-2)])))),ToReal(9),kmadd(kadd(vec_loadu_maybe3(0,-1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-1)]),vec_loadu_maybe3(0,3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(1)])))),ToReal(45),kmadd(kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)])),ToReal(81),kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(405),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(2025)))))),vec_loadu_maybe3(0,3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-3)])),vec_loadu_maybe3(0,-3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(3)])))))))))))
+#else
+#  define PDstandardNthfdOrder623(u) (PDstandardNthfdOrder623_impl(u,p1o3600dydz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder623_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o3600dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder623_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o3600dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o3600dydz,kadd(vec_loadu_maybe3(0,-3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(3)]),kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-2025),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-405),kmadd(kadd(vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),ToReal(-81),kmadd(kadd(vec_loadu_maybe3(0,-1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(1)]),vec_loadu_maybe3(0,3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-1)])))),ToReal(-45),kmadd(kadd(vec_loadu_maybe3(0,-2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-2)]),vec_loadu_maybe3(0,3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(2)])))),ToReal(-9),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(0,-2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(2)]),vec_loadu_maybe3(0,3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-2)])))),ToReal(9),kmadd(kadd(vec_loadu_maybe3(0,-1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-1)]),vec_loadu_maybe3(0,3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(1)])))),ToReal(45),kmadd(kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)])),ToReal(81),kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(405),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(2025)))))),vec_loadu_maybe3(0,3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-3)])),vec_loadu_maybe3(0,-3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(3)]))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder631(u) (kmul(p1o3600dxdz,kadd(vec_loadu_maybe3(-3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(3)]),kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-2025),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-405),kmadd(kadd(vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),ToReal(-81),kmadd(kadd(vec_loadu_maybe3(-1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-1)])))),ToReal(-45),kmadd(kadd(vec_loadu_maybe3(-2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(2)])))),ToReal(-9),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-2)])))),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(1)])))),ToReal(45),kmadd(kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)])),ToReal(81),kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(405),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(2025)))))),vec_loadu_maybe3(3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-3)])),vec_loadu_maybe3(-3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(3)])))))))))))
+#else
+#  define PDstandardNthfdOrder631(u) (PDstandardNthfdOrder631_impl(u,p1o3600dxdz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder631_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o3600dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder631_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o3600dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o3600dxdz,kadd(vec_loadu_maybe3(-3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(3)]),kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-2025),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-405),kmadd(kadd(vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),ToReal(-81),kmadd(kadd(vec_loadu_maybe3(-1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-1)])))),ToReal(-45),kmadd(kadd(vec_loadu_maybe3(-2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(2)])))),ToReal(-9),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(-2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-2)])))),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(1)])))),ToReal(45),kmadd(kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)])),ToReal(81),kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(405),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(2025)))))),vec_loadu_maybe3(3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-3)])),vec_loadu_maybe3(-3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(3)]))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder632(u) (kmul(p1o3600dydz,kadd(vec_loadu_maybe3(0,-3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(3)]),kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-2025),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-405),kmadd(kadd(vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),ToReal(-81),kmadd(kadd(vec_loadu_maybe3(0,-1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(1)]),vec_loadu_maybe3(0,3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-1)])))),ToReal(-45),kmadd(kadd(vec_loadu_maybe3(0,-2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-2)]),vec_loadu_maybe3(0,3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(2)])))),ToReal(-9),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(0,-2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(2)]),vec_loadu_maybe3(0,3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-2)])))),ToReal(9),kmadd(kadd(vec_loadu_maybe3(0,-1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-1)]),vec_loadu_maybe3(0,3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(1)])))),ToReal(45),kmadd(kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)])),ToReal(81),kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(405),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(2025)))))),vec_loadu_maybe3(0,3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-3)])),vec_loadu_maybe3(0,-3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(3)])))))))))))
+#else
+#  define PDstandardNthfdOrder632(u) (PDstandardNthfdOrder632_impl(u,p1o3600dydz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder632_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o3600dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder632_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o3600dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o3600dydz,kadd(vec_loadu_maybe3(0,-3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(3)]),kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-2025),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-405),kmadd(kadd(vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),ToReal(-81),kmadd(kadd(vec_loadu_maybe3(0,-1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(1)]),vec_loadu_maybe3(0,3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-1)])))),ToReal(-45),kmadd(kadd(vec_loadu_maybe3(0,-2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-2)]),vec_loadu_maybe3(0,3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(2)])))),ToReal(-9),ksub(ksub(kmadd(kadd(vec_loadu_maybe3(0,-2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(2)]),vec_loadu_maybe3(0,3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-2)])))),ToReal(9),kmadd(kadd(vec_loadu_maybe3(0,-1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-1)]),vec_loadu_maybe3(0,3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(1)])))),ToReal(45),kmadd(kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)])),ToReal(81),kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(405),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(2025)))))),vec_loadu_maybe3(0,3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-3)])),vec_loadu_maybe3(0,-3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(3)]))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder812(u) (kmul(p1o705600dxdy,kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-451584),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-112896),kmadd(kadd(vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),ToReal(-28224),kmadd(kadd(vec_loadu_maybe3(-1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-1)+cdk*(0)])))),ToReal(-21504),kmadd(kadd(vec_loadu_maybe3(-2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(2)+cdk*(0)])))),ToReal(-5376),kmadd(kadd(vec_loadu_maybe3(-1,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(1,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(4,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(1)+cdk*(0)])))),ToReal(-2016),kmadd(kadd(vec_loadu_maybe3(-3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(3)+cdk*(0)]),vec_loadu_maybe3(3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-3)+cdk*(0)])),ToReal(-1024),kmadd(kadd(vec_loadu_maybe3(-2,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(2,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(4,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-2)+cdk*(0)])))),ToReal(-504),kmadd(kadd(vec_loadu_maybe3(-3,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(3,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(4,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(3)+cdk*(0)])))),ToReal(-96),kmadd(kadd(vec_loadu_maybe3(-4,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(4)+cdk*(0)]),vec_loadu_maybe3(4,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-4)+cdk*(0)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(-4,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-4)+cdk*(0)]),vec_loadu_maybe3(4,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(4)+cdk*(0)])),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-3,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(3,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(3)+cdk*(0)]),vec_loadu_maybe3(4,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-3)+cdk*(0)])))),ToReal(96),kmadd(kadd(vec_loadu_maybe3(-2,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(2,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(4,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(2)+cdk*(0)])))),ToReal(504),kmadd(kadd(vec_loadu_maybe3(-3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(3)+cdk*(0)])),ToReal(1024),kmadd(kadd(vec_loadu_maybe3(-1,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(4,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-1)+cdk*(0)])))),ToReal(2016),kmadd(kadd(vec_loadu_maybe3(-2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-2)+cdk*(0)])))),ToReal(5376),kmadd(kadd(vec_loadu_maybe3(-1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(1)+cdk*(0)])))),ToReal(21504),kmadd(kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)])),ToReal(28224),kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(112896),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(451584)))))))))))))))))))))))
+#else
+#  define PDstandardNthfdOrder812(u) (PDstandardNthfdOrder812_impl(u,p1o705600dxdy,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder812_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o705600dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder812_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o705600dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o705600dxdy,kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-451584),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-112896),kmadd(kadd(vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),ToReal(-28224),kmadd(kadd(vec_loadu_maybe3(-1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-1)+cdk*(0)])))),ToReal(-21504),kmadd(kadd(vec_loadu_maybe3(-2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(2)+cdk*(0)])))),ToReal(-5376),kmadd(kadd(vec_loadu_maybe3(-1,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(1,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(4,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(1)+cdk*(0)])))),ToReal(-2016),kmadd(kadd(vec_loadu_maybe3(-3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(3)+cdk*(0)]),vec_loadu_maybe3(3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-3)+cdk*(0)])),ToReal(-1024),kmadd(kadd(vec_loadu_maybe3(-2,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(2,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(4,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-2)+cdk*(0)])))),ToReal(-504),kmadd(kadd(vec_loadu_maybe3(-3,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(3,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(4,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(3)+cdk*(0)])))),ToReal(-96),kmadd(kadd(vec_loadu_maybe3(-4,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(4)+cdk*(0)]),vec_loadu_maybe3(4,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-4)+cdk*(0)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(-4,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-4)+cdk*(0)]),vec_loadu_maybe3(4,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(4)+cdk*(0)])),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-3,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(3,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(3)+cdk*(0)]),vec_loadu_maybe3(4,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-3)+cdk*(0)])))),ToReal(96),kmadd(kadd(vec_loadu_maybe3(-2,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(2,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(4,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(2)+cdk*(0)])))),ToReal(504),kmadd(kadd(vec_loadu_maybe3(-3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(3)+cdk*(0)])),ToReal(1024),kmadd(kadd(vec_loadu_maybe3(-1,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(4,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-1)+cdk*(0)])))),ToReal(2016),kmadd(kadd(vec_loadu_maybe3(-2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-2)+cdk*(0)])))),ToReal(5376),kmadd(kadd(vec_loadu_maybe3(-1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(1)+cdk*(0)])))),ToReal(21504),kmadd(kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)])),ToReal(28224),kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(112896),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(451584))))))))))))))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder813(u) (kmul(p1o705600dxdz,kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-451584),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-112896),kmadd(kadd(vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),ToReal(-28224),kmadd(kadd(vec_loadu_maybe3(-1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-1)])))),ToReal(-21504),kmadd(kadd(vec_loadu_maybe3(-2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(2)])))),ToReal(-5376),kmadd(kadd(vec_loadu_maybe3(-1,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(1,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(-4,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(4,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(1)])))),ToReal(-2016),kmadd(kadd(vec_loadu_maybe3(-3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(3)]),vec_loadu_maybe3(3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-3)])),ToReal(-1024),kmadd(kadd(vec_loadu_maybe3(-2,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(2,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(-4,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(4,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-2)])))),ToReal(-504),kmadd(kadd(vec_loadu_maybe3(-3,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(3,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(-4,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(4,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(3)])))),ToReal(-96),kmadd(kadd(vec_loadu_maybe3(-4,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(4)]),vec_loadu_maybe3(4,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-4)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(-4,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-4)]),vec_loadu_maybe3(4,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(4)])),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-3,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(3,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(-4,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(3)]),vec_loadu_maybe3(4,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-3)])))),ToReal(96),kmadd(kadd(vec_loadu_maybe3(-2,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(2,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(-4,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(4,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(2)])))),ToReal(504),kmadd(kadd(vec_loadu_maybe3(-3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(3)])),ToReal(1024),kmadd(kadd(vec_loadu_maybe3(-1,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(1,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(-4,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(4,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-1)])))),ToReal(2016),kmadd(kadd(vec_loadu_maybe3(-2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-2)])))),ToReal(5376),kmadd(kadd(vec_loadu_maybe3(-1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(1)])))),ToReal(21504),kmadd(kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)])),ToReal(28224),kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(112896),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(451584)))))))))))))))))))))))
+#else
+#  define PDstandardNthfdOrder813(u) (PDstandardNthfdOrder813_impl(u,p1o705600dxdz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder813_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o705600dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder813_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o705600dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o705600dxdz,kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-451584),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-112896),kmadd(kadd(vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),ToReal(-28224),kmadd(kadd(vec_loadu_maybe3(-1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-1)])))),ToReal(-21504),kmadd(kadd(vec_loadu_maybe3(-2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(2)])))),ToReal(-5376),kmadd(kadd(vec_loadu_maybe3(-1,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(1,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(-4,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(4,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(1)])))),ToReal(-2016),kmadd(kadd(vec_loadu_maybe3(-3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(3)]),vec_loadu_maybe3(3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-3)])),ToReal(-1024),kmadd(kadd(vec_loadu_maybe3(-2,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(2,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(-4,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(4,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-2)])))),ToReal(-504),kmadd(kadd(vec_loadu_maybe3(-3,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(3,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(-4,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(4,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(3)])))),ToReal(-96),kmadd(kadd(vec_loadu_maybe3(-4,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(4)]),vec_loadu_maybe3(4,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-4)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(-4,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-4)]),vec_loadu_maybe3(4,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(4)])),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-3,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(3,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(-4,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(3)]),vec_loadu_maybe3(4,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-3)])))),ToReal(96),kmadd(kadd(vec_loadu_maybe3(-2,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(2,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(-4,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(4,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(2)])))),ToReal(504),kmadd(kadd(vec_loadu_maybe3(-3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(3)])),ToReal(1024),kmadd(kadd(vec_loadu_maybe3(-1,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(1,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(-4,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(4,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-1)])))),ToReal(2016),kmadd(kadd(vec_loadu_maybe3(-2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-2)])))),ToReal(5376),kmadd(kadd(vec_loadu_maybe3(-1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(1)])))),ToReal(21504),kmadd(kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)])),ToReal(28224),kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(112896),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(451584))))))))))))))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder821(u) (kmul(p1o705600dxdy,kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-451584),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-112896),kmadd(kadd(vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),ToReal(-28224),kmadd(kadd(vec_loadu_maybe3(-1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-1)+cdk*(0)])))),ToReal(-21504),kmadd(kadd(vec_loadu_maybe3(-2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(2)+cdk*(0)])))),ToReal(-5376),kmadd(kadd(vec_loadu_maybe3(-1,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(1,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(4,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(1)+cdk*(0)])))),ToReal(-2016),kmadd(kadd(vec_loadu_maybe3(-3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(3)+cdk*(0)]),vec_loadu_maybe3(3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-3)+cdk*(0)])),ToReal(-1024),kmadd(kadd(vec_loadu_maybe3(-2,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(2,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(4,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-2)+cdk*(0)])))),ToReal(-504),kmadd(kadd(vec_loadu_maybe3(-3,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(3,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(4,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(3)+cdk*(0)])))),ToReal(-96),kmadd(kadd(vec_loadu_maybe3(-4,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(4)+cdk*(0)]),vec_loadu_maybe3(4,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-4)+cdk*(0)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(-4,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-4)+cdk*(0)]),vec_loadu_maybe3(4,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(4)+cdk*(0)])),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-3,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(3,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(3)+cdk*(0)]),vec_loadu_maybe3(4,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-3)+cdk*(0)])))),ToReal(96),kmadd(kadd(vec_loadu_maybe3(-2,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(2,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(4,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(2)+cdk*(0)])))),ToReal(504),kmadd(kadd(vec_loadu_maybe3(-3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(3)+cdk*(0)])),ToReal(1024),kmadd(kadd(vec_loadu_maybe3(-1,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(4,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-1)+cdk*(0)])))),ToReal(2016),kmadd(kadd(vec_loadu_maybe3(-2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-2)+cdk*(0)])))),ToReal(5376),kmadd(kadd(vec_loadu_maybe3(-1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(1)+cdk*(0)])))),ToReal(21504),kmadd(kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)])),ToReal(28224),kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(112896),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(451584)))))))))))))))))))))))
+#else
+#  define PDstandardNthfdOrder821(u) (PDstandardNthfdOrder821_impl(u,p1o705600dxdy,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder821_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o705600dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder821_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o705600dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o705600dxdy,kmadd(kadd(vec_loadu_maybe3(-1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])),ToReal(-451584),kmadd(kadd(vec_loadu_maybe3(-1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])))),ToReal(-112896),kmadd(kadd(vec_loadu_maybe3(-2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)])),ToReal(-28224),kmadd(kadd(vec_loadu_maybe3(-1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-1)+cdk*(0)])))),ToReal(-21504),kmadd(kadd(vec_loadu_maybe3(-2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(2)+cdk*(0)])))),ToReal(-5376),kmadd(kadd(vec_loadu_maybe3(-1,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(1,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(4,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(1)+cdk*(0)])))),ToReal(-2016),kmadd(kadd(vec_loadu_maybe3(-3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(3)+cdk*(0)]),vec_loadu_maybe3(3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-3)+cdk*(0)])),ToReal(-1024),kmadd(kadd(vec_loadu_maybe3(-2,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(2,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(4,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-2)+cdk*(0)])))),ToReal(-504),kmadd(kadd(vec_loadu_maybe3(-3,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(3,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(4,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(3)+cdk*(0)])))),ToReal(-96),kmadd(kadd(vec_loadu_maybe3(-4,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(4)+cdk*(0)]),vec_loadu_maybe3(4,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-4)+cdk*(0)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(-4,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-4)+cdk*(0)]),vec_loadu_maybe3(4,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(4)+cdk*(0)])),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-3,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(3,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(3)+cdk*(0)]),vec_loadu_maybe3(4,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-3)+cdk*(0)])))),ToReal(96),kmadd(kadd(vec_loadu_maybe3(-2,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(2,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(4,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(2)+cdk*(0)])))),ToReal(504),kmadd(kadd(vec_loadu_maybe3(-3,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(3,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(3)+cdk*(0)])),ToReal(1024),kmadd(kadd(vec_loadu_maybe3(-1,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(4)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(-4,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(4,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(-1)+cdk*(0)])))),ToReal(2016),kmadd(kadd(vec_loadu_maybe3(-2,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(2,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(2)+cdk*(0)]),vec_loadu_maybe3(3,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(-2)+cdk*(0)])))),ToReal(5376),kmadd(kadd(vec_loadu_maybe3(-1,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(1,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(3)+cdk*(0)]),kadd(vec_loadu_maybe3(-3,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(3,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(1)+cdk*(0)])))),ToReal(21504),kmadd(kadd(vec_loadu_maybe3(-2,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(2,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)])),ToReal(28224),kmadd(kadd(vec_loadu_maybe3(-1,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]),kadd(vec_loadu_maybe3(1,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(-2,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]),vec_loadu_maybe3(2,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])))),ToReal(112896),kmul(kadd(vec_loadu_maybe3(-1,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(1,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])),ToReal(451584))))))))))))))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder823(u) (kmul(p1o705600dydz,kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-451584),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-112896),kmadd(kadd(vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),ToReal(-28224),kmadd(kadd(vec_loadu_maybe3(0,-1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(1)]),vec_loadu_maybe3(0,3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-1)])))),ToReal(-21504),kmadd(kadd(vec_loadu_maybe3(0,-2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-2)]),vec_loadu_maybe3(0,3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(2)])))),ToReal(-5376),kmadd(kadd(vec_loadu_maybe3(0,-1,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,1,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(4)]),kadd(vec_loadu_maybe3(0,-4,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-1)]),vec_loadu_maybe3(0,4,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(1)])))),ToReal(-2016),kmadd(kadd(vec_loadu_maybe3(0,-3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(3)]),vec_loadu_maybe3(0,3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-3)])),ToReal(-1024),kmadd(kadd(vec_loadu_maybe3(0,-2,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(4)]),kadd(vec_loadu_maybe3(0,2,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,-4,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(2)]),vec_loadu_maybe3(0,4,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-2)])))),ToReal(-504),kmadd(kadd(vec_loadu_maybe3(0,-3,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,3,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(4)]),kadd(vec_loadu_maybe3(0,-4,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-3)]),vec_loadu_maybe3(0,4,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(3)])))),ToReal(-96),kmadd(kadd(vec_loadu_maybe3(0,-4,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(4)]),vec_loadu_maybe3(0,4,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-4)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(0,-4,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-4)]),vec_loadu_maybe3(0,4,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(4)])),ToReal(9),kmadd(kadd(vec_loadu_maybe3(0,-3,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(4)]),kadd(vec_loadu_maybe3(0,3,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,-4,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(3)]),vec_loadu_maybe3(0,4,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-3)])))),ToReal(96),kmadd(kadd(vec_loadu_maybe3(0,-2,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,2,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(4)]),kadd(vec_loadu_maybe3(0,-4,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-2)]),vec_loadu_maybe3(0,4,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(2)])))),ToReal(504),kmadd(kadd(vec_loadu_maybe3(0,-3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-3)]),vec_loadu_maybe3(0,3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(3)])),ToReal(1024),kmadd(kadd(vec_loadu_maybe3(0,-1,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(4)]),kadd(vec_loadu_maybe3(0,1,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,-4,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(1)]),vec_loadu_maybe3(0,4,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-1)])))),ToReal(2016),kmadd(kadd(vec_loadu_maybe3(0,-2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(2)]),vec_loadu_maybe3(0,3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-2)])))),ToReal(5376),kmadd(kadd(vec_loadu_maybe3(0,-1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-1)]),vec_loadu_maybe3(0,3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(1)])))),ToReal(21504),kmadd(kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)])),ToReal(28224),kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(112896),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(451584)))))))))))))))))))))))
+#else
+#  define PDstandardNthfdOrder823(u) (PDstandardNthfdOrder823_impl(u,p1o705600dydz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder823_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o705600dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder823_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o705600dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o705600dydz,kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-451584),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-112896),kmadd(kadd(vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),ToReal(-28224),kmadd(kadd(vec_loadu_maybe3(0,-1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(1)]),vec_loadu_maybe3(0,3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-1)])))),ToReal(-21504),kmadd(kadd(vec_loadu_maybe3(0,-2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-2)]),vec_loadu_maybe3(0,3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(2)])))),ToReal(-5376),kmadd(kadd(vec_loadu_maybe3(0,-1,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,1,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(4)]),kadd(vec_loadu_maybe3(0,-4,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-1)]),vec_loadu_maybe3(0,4,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(1)])))),ToReal(-2016),kmadd(kadd(vec_loadu_maybe3(0,-3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(3)]),vec_loadu_maybe3(0,3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-3)])),ToReal(-1024),kmadd(kadd(vec_loadu_maybe3(0,-2,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(4)]),kadd(vec_loadu_maybe3(0,2,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,-4,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(2)]),vec_loadu_maybe3(0,4,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-2)])))),ToReal(-504),kmadd(kadd(vec_loadu_maybe3(0,-3,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,3,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(4)]),kadd(vec_loadu_maybe3(0,-4,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-3)]),vec_loadu_maybe3(0,4,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(3)])))),ToReal(-96),kmadd(kadd(vec_loadu_maybe3(0,-4,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(4)]),vec_loadu_maybe3(0,4,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-4)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(0,-4,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-4)]),vec_loadu_maybe3(0,4,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(4)])),ToReal(9),kmadd(kadd(vec_loadu_maybe3(0,-3,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(4)]),kadd(vec_loadu_maybe3(0,3,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,-4,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(3)]),vec_loadu_maybe3(0,4,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-3)])))),ToReal(96),kmadd(kadd(vec_loadu_maybe3(0,-2,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,2,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(4)]),kadd(vec_loadu_maybe3(0,-4,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-2)]),vec_loadu_maybe3(0,4,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(2)])))),ToReal(504),kmadd(kadd(vec_loadu_maybe3(0,-3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-3)]),vec_loadu_maybe3(0,3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(3)])),ToReal(1024),kmadd(kadd(vec_loadu_maybe3(0,-1,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(4)]),kadd(vec_loadu_maybe3(0,1,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,-4,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(1)]),vec_loadu_maybe3(0,4,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-1)])))),ToReal(2016),kmadd(kadd(vec_loadu_maybe3(0,-2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(2)]),vec_loadu_maybe3(0,3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-2)])))),ToReal(5376),kmadd(kadd(vec_loadu_maybe3(0,-1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-1)]),vec_loadu_maybe3(0,3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(1)])))),ToReal(21504),kmadd(kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)])),ToReal(28224),kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(112896),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(451584))))))))))))))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder831(u) (kmul(p1o705600dxdz,kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-451584),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-112896),kmadd(kadd(vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),ToReal(-28224),kmadd(kadd(vec_loadu_maybe3(-1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-1)])))),ToReal(-21504),kmadd(kadd(vec_loadu_maybe3(-2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(2)])))),ToReal(-5376),kmadd(kadd(vec_loadu_maybe3(-1,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(1,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(-4,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(4,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(1)])))),ToReal(-2016),kmadd(kadd(vec_loadu_maybe3(-3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(3)]),vec_loadu_maybe3(3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-3)])),ToReal(-1024),kmadd(kadd(vec_loadu_maybe3(-2,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(2,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(-4,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(4,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-2)])))),ToReal(-504),kmadd(kadd(vec_loadu_maybe3(-3,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(3,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(-4,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(4,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(3)])))),ToReal(-96),kmadd(kadd(vec_loadu_maybe3(-4,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(4)]),vec_loadu_maybe3(4,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-4)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(-4,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-4)]),vec_loadu_maybe3(4,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(4)])),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-3,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(3,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(-4,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(3)]),vec_loadu_maybe3(4,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-3)])))),ToReal(96),kmadd(kadd(vec_loadu_maybe3(-2,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(2,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(-4,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(4,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(2)])))),ToReal(504),kmadd(kadd(vec_loadu_maybe3(-3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(3)])),ToReal(1024),kmadd(kadd(vec_loadu_maybe3(-1,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(1,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(-4,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(4,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-1)])))),ToReal(2016),kmadd(kadd(vec_loadu_maybe3(-2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-2)])))),ToReal(5376),kmadd(kadd(vec_loadu_maybe3(-1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(1)])))),ToReal(21504),kmadd(kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)])),ToReal(28224),kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(112896),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(451584)))))))))))))))))))))))
+#else
+#  define PDstandardNthfdOrder831(u) (PDstandardNthfdOrder831_impl(u,p1o705600dxdz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder831_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o705600dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder831_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o705600dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o705600dxdz,kmadd(kadd(vec_loadu_maybe3(-1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])),ToReal(-451584),kmadd(kadd(vec_loadu_maybe3(-1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(-2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])))),ToReal(-112896),kmadd(kadd(vec_loadu_maybe3(-2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)])),ToReal(-28224),kmadd(kadd(vec_loadu_maybe3(-1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-1)])))),ToReal(-21504),kmadd(kadd(vec_loadu_maybe3(-2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(2)])))),ToReal(-5376),kmadd(kadd(vec_loadu_maybe3(-1,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(1,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(-4,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(4,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(1)])))),ToReal(-2016),kmadd(kadd(vec_loadu_maybe3(-3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(3)]),vec_loadu_maybe3(3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-3)])),ToReal(-1024),kmadd(kadd(vec_loadu_maybe3(-2,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(2,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(-4,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(4,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-2)])))),ToReal(-504),kmadd(kadd(vec_loadu_maybe3(-3,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(3,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(-4,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(4,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(3)])))),ToReal(-96),kmadd(kadd(vec_loadu_maybe3(-4,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(4)]),vec_loadu_maybe3(4,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-4)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(-4,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-4)]),vec_loadu_maybe3(4,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(4)])),ToReal(9),kmadd(kadd(vec_loadu_maybe3(-3,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(3,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(-4,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(3)]),vec_loadu_maybe3(4,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-3)])))),ToReal(96),kmadd(kadd(vec_loadu_maybe3(-2,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(2,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(-4,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(4,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(2)])))),ToReal(504),kmadd(kadd(vec_loadu_maybe3(-3,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(3,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(3)])),ToReal(1024),kmadd(kadd(vec_loadu_maybe3(-1,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(4)]),kadd(vec_loadu_maybe3(1,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(-4,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(4,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(-1)])))),ToReal(2016),kmadd(kadd(vec_loadu_maybe3(-2,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(2,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(-3,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(2)]),vec_loadu_maybe3(3,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(-2)])))),ToReal(5376),kmadd(kadd(vec_loadu_maybe3(-1,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(1,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(3)]),kadd(vec_loadu_maybe3(-3,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(3,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(1)])))),ToReal(21504),kmadd(kadd(vec_loadu_maybe3(-2,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(2,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)])),ToReal(28224),kmadd(kadd(vec_loadu_maybe3(-1,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]),kadd(vec_loadu_maybe3(1,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(-2,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]),vec_loadu_maybe3(2,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])))),ToReal(112896),kmul(kadd(vec_loadu_maybe3(-1,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(1,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])),ToReal(451584))))))))))))))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDstandardNthfdOrder832(u) (kmul(p1o705600dydz,kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-451584),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-112896),kmadd(kadd(vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),ToReal(-28224),kmadd(kadd(vec_loadu_maybe3(0,-1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(1)]),vec_loadu_maybe3(0,3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-1)])))),ToReal(-21504),kmadd(kadd(vec_loadu_maybe3(0,-2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-2)]),vec_loadu_maybe3(0,3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(2)])))),ToReal(-5376),kmadd(kadd(vec_loadu_maybe3(0,-1,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,1,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(4)]),kadd(vec_loadu_maybe3(0,-4,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-1)]),vec_loadu_maybe3(0,4,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(1)])))),ToReal(-2016),kmadd(kadd(vec_loadu_maybe3(0,-3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(3)]),vec_loadu_maybe3(0,3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-3)])),ToReal(-1024),kmadd(kadd(vec_loadu_maybe3(0,-2,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(4)]),kadd(vec_loadu_maybe3(0,2,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,-4,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(2)]),vec_loadu_maybe3(0,4,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-2)])))),ToReal(-504),kmadd(kadd(vec_loadu_maybe3(0,-3,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,3,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(4)]),kadd(vec_loadu_maybe3(0,-4,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-3)]),vec_loadu_maybe3(0,4,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(3)])))),ToReal(-96),kmadd(kadd(vec_loadu_maybe3(0,-4,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(4)]),vec_loadu_maybe3(0,4,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-4)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(0,-4,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-4)]),vec_loadu_maybe3(0,4,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(4)])),ToReal(9),kmadd(kadd(vec_loadu_maybe3(0,-3,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(4)]),kadd(vec_loadu_maybe3(0,3,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,-4,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(3)]),vec_loadu_maybe3(0,4,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-3)])))),ToReal(96),kmadd(kadd(vec_loadu_maybe3(0,-2,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,2,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(4)]),kadd(vec_loadu_maybe3(0,-4,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-2)]),vec_loadu_maybe3(0,4,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(2)])))),ToReal(504),kmadd(kadd(vec_loadu_maybe3(0,-3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-3)]),vec_loadu_maybe3(0,3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(3)])),ToReal(1024),kmadd(kadd(vec_loadu_maybe3(0,-1,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(4)]),kadd(vec_loadu_maybe3(0,1,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,-4,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(1)]),vec_loadu_maybe3(0,4,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-1)])))),ToReal(2016),kmadd(kadd(vec_loadu_maybe3(0,-2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(2)]),vec_loadu_maybe3(0,3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-2)])))),ToReal(5376),kmadd(kadd(vec_loadu_maybe3(0,-1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-1)]),vec_loadu_maybe3(0,3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(1)])))),ToReal(21504),kmadd(kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)])),ToReal(28224),kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(112896),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(451584)))))))))))))))))))))))
+#else
+#  define PDstandardNthfdOrder832(u) (PDstandardNthfdOrder832_impl(u,p1o705600dydz,cdj,cdk))
+static CCTK_REAL_VEC PDstandardNthfdOrder832_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o705600dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDstandardNthfdOrder832_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o705600dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o705600dydz,kmadd(kadd(vec_loadu_maybe3(0,-1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]),vec_loadu_maybe3(0,1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])),ToReal(-451584),kmadd(kadd(vec_loadu_maybe3(0,-1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,-2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]),vec_loadu_maybe3(0,2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])))),ToReal(-112896),kmadd(kadd(vec_loadu_maybe3(0,-2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]),vec_loadu_maybe3(0,2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)])),ToReal(-28224),kmadd(kadd(vec_loadu_maybe3(0,-1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(1)]),vec_loadu_maybe3(0,3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-1)])))),ToReal(-21504),kmadd(kadd(vec_loadu_maybe3(0,-2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-2)]),vec_loadu_maybe3(0,3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(2)])))),ToReal(-5376),kmadd(kadd(vec_loadu_maybe3(0,-1,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,1,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(4)]),kadd(vec_loadu_maybe3(0,-4,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-1)]),vec_loadu_maybe3(0,4,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(1)])))),ToReal(-2016),kmadd(kadd(vec_loadu_maybe3(0,-3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(3)]),vec_loadu_maybe3(0,3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-3)])),ToReal(-1024),kmadd(kadd(vec_loadu_maybe3(0,-2,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(4)]),kadd(vec_loadu_maybe3(0,2,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,-4,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(2)]),vec_loadu_maybe3(0,4,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-2)])))),ToReal(-504),kmadd(kadd(vec_loadu_maybe3(0,-3,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,3,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(4)]),kadd(vec_loadu_maybe3(0,-4,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-3)]),vec_loadu_maybe3(0,4,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(3)])))),ToReal(-96),kmadd(kadd(vec_loadu_maybe3(0,-4,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(4)]),vec_loadu_maybe3(0,4,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-4)])),ToReal(-9),kmadd(kadd(vec_loadu_maybe3(0,-4,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-4)]),vec_loadu_maybe3(0,4,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(4)])),ToReal(9),kmadd(kadd(vec_loadu_maybe3(0,-3,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(4)]),kadd(vec_loadu_maybe3(0,3,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,-4,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(3)]),vec_loadu_maybe3(0,4,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-3)])))),ToReal(96),kmadd(kadd(vec_loadu_maybe3(0,-2,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,2,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(4)]),kadd(vec_loadu_maybe3(0,-4,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(-2)]),vec_loadu_maybe3(0,4,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(2)])))),ToReal(504),kmadd(kadd(vec_loadu_maybe3(0,-3,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-3)]),vec_loadu_maybe3(0,3,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(3)])),ToReal(1024),kmadd(kadd(vec_loadu_maybe3(0,-1,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(4)]),kadd(vec_loadu_maybe3(0,1,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,-4,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(1)]),vec_loadu_maybe3(0,4,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(-1)])))),ToReal(2016),kmadd(kadd(vec_loadu_maybe3(0,-2,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(3)]),kadd(vec_loadu_maybe3(0,2,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,-3,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(2)]),vec_loadu_maybe3(0,3,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(-2)])))),ToReal(5376),kmadd(kadd(vec_loadu_maybe3(0,-1,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,1,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(3)]),kadd(vec_loadu_maybe3(0,-3,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(-1)]),vec_loadu_maybe3(0,3,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(1)])))),ToReal(21504),kmadd(kadd(vec_loadu_maybe3(0,-2,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]),vec_loadu_maybe3(0,2,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)])),ToReal(28224),kmadd(kadd(vec_loadu_maybe3(0,-1,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]),kadd(vec_loadu_maybe3(0,1,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,-2,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]),vec_loadu_maybe3(0,2,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])))),ToReal(112896),kmul(kadd(vec_loadu_maybe3(0,-1,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]),vec_loadu_maybe3(0,1,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])),ToReal(451584))))))))))))))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDdissipationNthfdOrder21(u) (kmul(p1o16dx,kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(6)))))))
 #else
-#  define PDdissipationNth1(u) (PDdissipationNth1_impl(u,p1o64dx,cdj,cdk))
-static CCTK_REAL_VEC PDdissipationNth1_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o64dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDdissipationNth1_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o64dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDdissipationNthfdOrder21(u) (PDdissipationNthfdOrder21_impl(u,p1o16dx,cdj,cdk))
+static CCTK_REAL_VEC PDdissipationNthfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o16dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDdissipationNthfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o16dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o16dx,kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(6))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDdissipationNthfdOrder22(u) (kmul(p1o16dy,kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(6)))))))
+#else
+#  define PDdissipationNthfdOrder22(u) (PDdissipationNthfdOrder22_impl(u,p1o16dy,cdj,cdk))
+static CCTK_REAL_VEC PDdissipationNthfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o16dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDdissipationNthfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o16dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o16dy,kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(6))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDdissipationNthfdOrder23(u) (kmul(p1o16dz,kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(6)))))))
+#else
+#  define PDdissipationNthfdOrder23(u) (PDdissipationNthfdOrder23_impl(u,p1o16dz,cdj,cdk))
+static CCTK_REAL_VEC PDdissipationNthfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o16dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDdissipationNthfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o16dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o16dz,kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(6))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDdissipationNthfdOrder41(u) (kmul(p1o64dx,kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(15))))))))
+#else
+#  define PDdissipationNthfdOrder41(u) (PDdissipationNthfdOrder41_impl(u,p1o64dx,cdj,cdk))
+static CCTK_REAL_VEC PDdissipationNthfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o64dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDdissipationNthfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o64dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o64dx,kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(15)))))));
@@ -158,11 +626,11 @@ static CCTK_REAL_VEC PDdissipationNth1_impl(CCTK_REAL const* restrict const u, C
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDdissipationNth2(u) (kmul(p1o64dy,kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(15))))))))
+#  define PDdissipationNthfdOrder42(u) (kmul(p1o64dy,kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(15))))))))
 #else
-#  define PDdissipationNth2(u) (PDdissipationNth2_impl(u,p1o64dy,cdj,cdk))
-static CCTK_REAL_VEC PDdissipationNth2_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o64dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDdissipationNth2_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o64dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDdissipationNthfdOrder42(u) (PDdissipationNthfdOrder42_impl(u,p1o64dy,cdj,cdk))
+static CCTK_REAL_VEC PDdissipationNthfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o64dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDdissipationNthfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o64dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o64dy,kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(15)))))));
@@ -170,11 +638,11 @@ static CCTK_REAL_VEC PDdissipationNth2_impl(CCTK_REAL const* restrict const u, C
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDdissipationNth3(u) (kmul(p1o64dz,kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(15))))))))
+#  define PDdissipationNthfdOrder43(u) (kmul(p1o64dz,kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(15))))))))
 #else
-#  define PDdissipationNth3(u) (PDdissipationNth3_impl(u,p1o64dz,cdj,cdk))
-static CCTK_REAL_VEC PDdissipationNth3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o64dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDdissipationNth3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o64dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDdissipationNthfdOrder43(u) (PDdissipationNthfdOrder43_impl(u,p1o64dz,cdj,cdk))
+static CCTK_REAL_VEC PDdissipationNthfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o64dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDdissipationNthfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o64dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o64dz,kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(15)))))));
@@ -182,33 +650,210 @@ static CCTK_REAL_VEC PDdissipationNth3_impl(CCTK_REAL const* restrict const u, C
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDupwindNth1(u) (kmul(p1o12dx,kmul(dir1,kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3*dir1)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-10),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2*dir1)+cdj*(0)+cdk*(0)]),ToReal(-6),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-dir1)+cdj*(0)+cdk*(0)]),ToReal(-3),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(dir1)+cdj*(0)+cdk*(0)]),ToReal(18)))))))))
+#  define PDdissipationNthfdOrder61(u) (kmul(p1o256dx,kadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(-56),kmadd(kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)])),ToReal(-8),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(28),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(70)))))))))
+#else
+#  define PDdissipationNthfdOrder61(u) (PDdissipationNthfdOrder61_impl(u,p1o256dx,cdj,cdk))
+static CCTK_REAL_VEC PDdissipationNthfdOrder61_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o256dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDdissipationNthfdOrder61_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o256dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o256dx,kadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(-56),kmadd(kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)])),ToReal(-8),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(28),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(70))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDdissipationNthfdOrder62(u) (kmul(p1o256dy,kadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(-56),kmadd(kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)])),ToReal(-8),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(28),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(70)))))))))
+#else
+#  define PDdissipationNthfdOrder62(u) (PDdissipationNthfdOrder62_impl(u,p1o256dy,cdj,cdk))
+static CCTK_REAL_VEC PDdissipationNthfdOrder62_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o256dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDdissipationNthfdOrder62_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o256dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o256dy,kadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(-56),kmadd(kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)])),ToReal(-8),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(28),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(70))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDdissipationNthfdOrder63(u) (kmul(p1o256dz,kadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)]),kmadd(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(-56),kmadd(kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)])),ToReal(-8),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(28),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(70)))))))))
+#else
+#  define PDdissipationNthfdOrder63(u) (PDdissipationNthfdOrder63_impl(u,p1o256dz,cdj,cdk))
+static CCTK_REAL_VEC PDdissipationNthfdOrder63_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o256dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDdissipationNthfdOrder63_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o256dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o256dz,kadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)]),kmadd(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(-56),kmadd(kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)])),ToReal(-8),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(28),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(70))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDdissipationNthfdOrder81(u) (kmul(p1o1024dx,kadd(vec_loadu_maybe3(-5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-5)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(5)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-252),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-120),kmadd(kadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)])),ToReal(-10),kmadd(kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)])),ToReal(45),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(210))))))))))
+#else
+#  define PDdissipationNthfdOrder81(u) (PDdissipationNthfdOrder81_impl(u,p1o1024dx,cdj,cdk))
+static CCTK_REAL_VEC PDdissipationNthfdOrder81_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o1024dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDdissipationNthfdOrder81_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o1024dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o1024dx,kadd(vec_loadu_maybe3(-5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-5)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(5)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-252),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-120),kmadd(kadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)])),ToReal(-10),kmadd(kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)])),ToReal(45),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(210)))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDdissipationNthfdOrder82(u) (kmul(p1o1024dy,kadd(vec_loadu_maybe3(0,-5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-5)+cdk*(0)]),kadd(vec_loadu_maybe3(0,5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(5)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-252),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-120),kmadd(kadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)])),ToReal(-10),kmadd(kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)])),ToReal(45),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(210))))))))))
+#else
+#  define PDdissipationNthfdOrder82(u) (PDdissipationNthfdOrder82_impl(u,p1o1024dy,cdj,cdk))
+static CCTK_REAL_VEC PDdissipationNthfdOrder82_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o1024dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDdissipationNthfdOrder82_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o1024dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o1024dy,kadd(vec_loadu_maybe3(0,-5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-5)+cdk*(0)]),kadd(vec_loadu_maybe3(0,5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(5)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-252),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-120),kmadd(kadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)])),ToReal(-10),kmadd(kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)])),ToReal(45),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(210)))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDdissipationNthfdOrder83(u) (kmul(p1o1024dz,kadd(vec_loadu_maybe3(0,0,-5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-5)]),kadd(vec_loadu_maybe3(0,0,5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(5)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-252),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-120),kmadd(kadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)])),ToReal(-10),kmadd(kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)])),ToReal(45),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(210))))))))))
+#else
+#  define PDdissipationNthfdOrder83(u) (PDdissipationNthfdOrder83_impl(u,p1o1024dz,cdj,cdk))
+static CCTK_REAL_VEC PDdissipationNthfdOrder83_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o1024dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDdissipationNthfdOrder83_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o1024dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o1024dz,kadd(vec_loadu_maybe3(0,0,-5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-5)]),kadd(vec_loadu_maybe3(0,0,5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(5)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-252),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-120),kmadd(kadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)])),ToReal(-10),kmadd(kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)])),ToReal(45),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(210)))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthfdOrder21(u) (kmul(pm1o2dx,kmul(dir1,kadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2*dir1)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(dir1)+cdj*(0)+cdk*(0)]),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(3)))))))
 #else
-#  define PDupwindNth1(u) (PDupwindNth1_impl(u,p1o12dx,cdj,cdk))
-static CCTK_REAL_VEC PDupwindNth1_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDupwindNth1_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDupwindNthfdOrder21(u) (PDupwindNthfdOrder21_impl(u,pm1o2dx,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
 { assert(0); return ToReal(1e30); /* ERROR */ }
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDupwindNth2(u) (kmul(p1o12dy,kmul(dir2,kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3*dir2)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-10),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2*dir2)+cdk*(0)]),ToReal(-6),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-dir2)+cdk*(0)]),ToReal(-3),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(dir2)+cdk*(0)]),ToReal(18)))))))))
+#  define PDupwindNthfdOrder41(u) (kmul(p1o12dx,kmul(dir1,kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3*dir1)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-10),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2*dir1)+cdj*(0)+cdk*(0)]),ToReal(-6),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-dir1)+cdj*(0)+cdk*(0)]),ToReal(-3),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(dir1)+cdj*(0)+cdk*(0)]),ToReal(18)))))))))
 #else
-#  define PDupwindNth2(u) (PDupwindNth2_impl(u,p1o12dy,cdj,cdk))
-static CCTK_REAL_VEC PDupwindNth2_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDupwindNth2_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDupwindNthfdOrder41(u) (PDupwindNthfdOrder41_impl(u,p1o12dx,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
 { assert(0); return ToReal(1e30); /* ERROR */ }
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDupwindNth3(u) (kmul(p1o12dz,kmul(dir3,kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3*dir3)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-10),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2*dir3)]),ToReal(-6),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-dir3)]),ToReal(-3),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(dir3)]),ToReal(18)))))))))
+#  define PDupwindNthfdOrder61(u) (kmul(pm1o60dx,kmul(dir1,kadd(vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4*dir1)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(dir1)+cdj*(0)+cdk*(0)]),ToReal(-80),kmadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3*dir1)+cdj*(0)+cdk*(0)]),ToReal(-8),kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2*dir1)+cdj*(0)+cdk*(0)]),ToReal(-2),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-dir1)+cdj*(0)+cdk*(0)]),ToReal(24),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2*dir1)+cdj*(0)+cdk*(0)]),ToReal(30),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(35)))))))))))
 #else
-#  define PDupwindNth3(u) (PDupwindNth3_impl(u,p1o12dz,cdj,cdk))
-static CCTK_REAL_VEC PDupwindNth3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDupwindNth3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDupwindNthfdOrder61(u) (PDupwindNthfdOrder61_impl(u,pm1o60dx,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthfdOrder61_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o60dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthfdOrder61_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o60dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
 { assert(0); return ToReal(1e30); /* ERROR */ }
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthfdOrder81(u) (kmul(p1o840dx,kmul(dir1,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-378),kmadd(vec_loadu_maybe3(5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(5*dir1)+cdj*(0)+cdk*(0)]),ToReal(3),kmul(ToReal(-5),kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3*dir1)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(dir1)+cdj*(0)+cdk*(0)]),ToReal(-210),kmadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3*dir1)+cdj*(0)+cdk*(0)]),ToReal(-28),kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2*dir1)+cdj*(0)+cdk*(0)]),ToReal(-12),kmadd(vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4*dir1)+cdj*(0)+cdk*(0)]),ToReal(6),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-dir1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2*dir1)+cdj*(0)+cdk*(0)])),ToReal(84)))))))))))))
+#else
+#  define PDupwindNthfdOrder81(u) (PDupwindNthfdOrder81_impl(u,p1o840dx,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthfdOrder81_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o840dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthfdOrder81_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o840dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{ assert(0); return ToReal(1e30); /* ERROR */ }
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthAntifdOrder21(u) (kmul(p1o4dx,kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-4),kmsub(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(4),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]))))))
+#else
+#  define PDupwindNthAntifdOrder21(u) (PDupwindNthAntifdOrder21_impl(u,p1o4dx,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthAntifdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthAntifdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o4dx,kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-4),kmsub(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(4),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthAntifdOrder41(u) (kmul(p1o24dx,kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-21),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),ToReal(-6),ksub(kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),ToReal(6),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(21))),vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)])))))))
+#else
+#  define PDupwindNthAntifdOrder41(u) (PDupwindNthAntifdOrder41_impl(u,p1o24dx,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthAntifdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthAntifdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o24dx,kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-21),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),ToReal(-6),ksub(kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),ToReal(6),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(21))),vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthAntifdOrder61(u) (kmul(p1o120dx,kadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-104),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),ToReal(-32),kmadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),ToReal(-8),ksub(kmadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),ToReal(8),kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),ToReal(32),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(104)))),vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)]))))))))
+#else
+#  define PDupwindNthAntifdOrder61(u) (PDupwindNthAntifdOrder61_impl(u,p1o120dx,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthAntifdOrder61_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o120dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthAntifdOrder61_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o120dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o120dx,kadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-104),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),ToReal(-32),kmadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),ToReal(-8),ksub(kmadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),ToReal(8),kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),ToReal(32),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(104)))),vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)])))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthAntifdOrder81(u) (kmul(p1o1680dx,kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-1470),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),ToReal(-480),kmadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),ToReal(-145),kmadd(vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)]),ToReal(-30),kmadd(vec_loadu_maybe3(-5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-5)+cdj*(0)+cdk*(0)]),ToReal(-3),kmadd(vec_loadu_maybe3(5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(5)+cdj*(0)+cdk*(0)]),ToReal(3),kmadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),ToReal(30),kmadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),ToReal(145),kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),ToReal(480),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(1470)))))))))))))
+#else
+#  define PDupwindNthAntifdOrder81(u) (PDupwindNthAntifdOrder81_impl(u,p1o1680dx,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthAntifdOrder81_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o1680dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthAntifdOrder81_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o1680dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o1680dx,kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-1470),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),ToReal(-480),kmadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),ToReal(-145),kmadd(vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)]),ToReal(-30),kmadd(vec_loadu_maybe3(-5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-5)+cdj*(0)+cdk*(0)]),ToReal(-3),kmadd(vec_loadu_maybe3(5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(5)+cdj*(0)+cdk*(0)]),ToReal(3),kmadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),ToReal(30),kmadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),ToReal(145),kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),ToReal(480),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(1470))))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthSymmfdOrder21(u) (kmul(pm1o4dx,kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(6)))))))
+#else
+#  define PDupwindNthSymmfdOrder21(u) (PDupwindNthSymmfdOrder21_impl(u,pm1o4dx,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o4dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o4dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(pm1o4dx,kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(6))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthSymmfdOrder41(u) (kmul(p1o24dx,kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(15))))))))
+#else
+#  define PDupwindNthSymmfdOrder41(u) (PDupwindNthSymmfdOrder41_impl(u,p1o24dx,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o24dx,kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(15)))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthSymmfdOrder61(u) (kmul(pm1o120dx,kadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(-56),kmadd(kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)])),ToReal(-8),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(28),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(70)))))))))
+#else
+#  define PDupwindNthSymmfdOrder61(u) (PDupwindNthSymmfdOrder61_impl(u,pm1o120dx,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder61_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o120dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder61_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o120dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(pm1o120dx,kadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(-56),kmadd(kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)])),ToReal(-8),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(28),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(70))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthSymmfdOrder81(u) (kmul(p1o560dx,kadd(vec_loadu_maybe3(-5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-5)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(5)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-252),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-120),kmadd(kadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)])),ToReal(-10),kmadd(kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)])),ToReal(45),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(210))))))))))
+#else
+#  define PDupwindNthSymmfdOrder81(u) (PDupwindNthSymmfdOrder81_impl(u,p1o560dx,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder81_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o560dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder81_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o560dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o560dx,kadd(vec_loadu_maybe3(-5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-5)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(5,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(5)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-252),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-120),kmadd(kadd(vec_loadu_maybe3(-4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-4)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(4,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(4)+cdj*(0)+cdk*(0)])),ToReal(-10),kmadd(kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)])),ToReal(45),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(210)))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
 #  define PDonesided1(u) (kmul(p1odx,kmul(dir1,ksub(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(dir1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)])))))
 #else
 #  define PDonesided1(u) (PDonesided1_impl(u,p1odx,cdj,cdk))
@@ -218,6 +863,138 @@ static CCTK_REAL_VEC PDonesided1_impl(CCTK_REAL const* restrict const u, CCTK_RE
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthfdOrder22(u) (kmul(pm1o2dy,kmul(dir2,kadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2*dir2)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(dir2)+cdk*(0)]),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(3)))))))
+#else
+#  define PDupwindNthfdOrder22(u) (PDupwindNthfdOrder22_impl(u,pm1o2dy,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{ assert(0); return ToReal(1e30); /* ERROR */ }
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthfdOrder42(u) (kmul(p1o12dy,kmul(dir2,kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3*dir2)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-10),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2*dir2)+cdk*(0)]),ToReal(-6),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-dir2)+cdk*(0)]),ToReal(-3),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(dir2)+cdk*(0)]),ToReal(18)))))))))
+#else
+#  define PDupwindNthfdOrder42(u) (PDupwindNthfdOrder42_impl(u,p1o12dy,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{ assert(0); return ToReal(1e30); /* ERROR */ }
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthfdOrder62(u) (kmul(pm1o60dy,kmul(dir2,kadd(vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4*dir2)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(dir2)+cdk*(0)]),ToReal(-80),kmadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3*dir2)+cdk*(0)]),ToReal(-8),kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2*dir2)+cdk*(0)]),ToReal(-2),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-dir2)+cdk*(0)]),ToReal(24),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2*dir2)+cdk*(0)]),ToReal(30),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(35)))))))))))
+#else
+#  define PDupwindNthfdOrder62(u) (PDupwindNthfdOrder62_impl(u,pm1o60dy,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthfdOrder62_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o60dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthfdOrder62_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o60dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{ assert(0); return ToReal(1e30); /* ERROR */ }
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthfdOrder82(u) (kmul(p1o840dy,kmul(dir2,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-378),kmadd(vec_loadu_maybe3(0,5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(5*dir2)+cdk*(0)]),ToReal(3),kmul(ToReal(-5),kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3*dir2)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(dir2)+cdk*(0)]),ToReal(-210),kmadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3*dir2)+cdk*(0)]),ToReal(-28),kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2*dir2)+cdk*(0)]),ToReal(-12),kmadd(vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4*dir2)+cdk*(0)]),ToReal(6),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-dir2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2*dir2)+cdk*(0)])),ToReal(84)))))))))))))
+#else
+#  define PDupwindNthfdOrder82(u) (PDupwindNthfdOrder82_impl(u,p1o840dy,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthfdOrder82_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o840dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthfdOrder82_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o840dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{ assert(0); return ToReal(1e30); /* ERROR */ }
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthAntifdOrder22(u) (kmul(p1o4dy,kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-4),kmsub(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(4),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]))))))
+#else
+#  define PDupwindNthAntifdOrder22(u) (PDupwindNthAntifdOrder22_impl(u,p1o4dy,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthAntifdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthAntifdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o4dy,kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-4),kmsub(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(4),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthAntifdOrder42(u) (kmul(p1o24dy,kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-21),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),ToReal(-6),ksub(kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),ToReal(6),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(21))),vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)])))))))
+#else
+#  define PDupwindNthAntifdOrder42(u) (PDupwindNthAntifdOrder42_impl(u,p1o24dy,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthAntifdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthAntifdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o24dy,kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-21),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),ToReal(-6),ksub(kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),ToReal(6),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(21))),vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthAntifdOrder62(u) (kmul(p1o120dy,kadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-104),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),ToReal(-32),kmadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),ToReal(-8),ksub(kmadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),ToReal(8),kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),ToReal(32),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(104)))),vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)]))))))))
+#else
+#  define PDupwindNthAntifdOrder62(u) (PDupwindNthAntifdOrder62_impl(u,p1o120dy,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthAntifdOrder62_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o120dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthAntifdOrder62_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o120dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o120dy,kadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-104),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),ToReal(-32),kmadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),ToReal(-8),ksub(kmadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),ToReal(8),kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),ToReal(32),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(104)))),vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)])))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthAntifdOrder82(u) (kmul(p1o1680dy,kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-1470),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),ToReal(-480),kmadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),ToReal(-145),kmadd(vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)]),ToReal(-30),kmadd(vec_loadu_maybe3(0,-5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-5)+cdk*(0)]),ToReal(-3),kmadd(vec_loadu_maybe3(0,5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(5)+cdk*(0)]),ToReal(3),kmadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),ToReal(30),kmadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),ToReal(145),kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),ToReal(480),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(1470)))))))))))))
+#else
+#  define PDupwindNthAntifdOrder82(u) (PDupwindNthAntifdOrder82_impl(u,p1o1680dy,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthAntifdOrder82_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o1680dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthAntifdOrder82_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o1680dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o1680dy,kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-1470),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),ToReal(-480),kmadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),ToReal(-145),kmadd(vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)]),ToReal(-30),kmadd(vec_loadu_maybe3(0,-5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-5)+cdk*(0)]),ToReal(-3),kmadd(vec_loadu_maybe3(0,5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(5)+cdk*(0)]),ToReal(3),kmadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),ToReal(30),kmadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),ToReal(145),kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),ToReal(480),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(1470))))))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthSymmfdOrder22(u) (kmul(pm1o4dy,kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(6)))))))
+#else
+#  define PDupwindNthSymmfdOrder22(u) (PDupwindNthSymmfdOrder22_impl(u,pm1o4dy,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o4dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o4dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(pm1o4dy,kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),kadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(6))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthSymmfdOrder42(u) (kmul(p1o24dy,kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(15))))))))
+#else
+#  define PDupwindNthSymmfdOrder42(u) (PDupwindNthSymmfdOrder42_impl(u,p1o24dy,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o24dy,kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(15)))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthSymmfdOrder62(u) (kmul(pm1o120dy,kadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(-56),kmadd(kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)])),ToReal(-8),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(28),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(70)))))))))
+#else
+#  define PDupwindNthSymmfdOrder62(u) (PDupwindNthSymmfdOrder62_impl(u,pm1o120dy,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder62_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o120dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder62_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o120dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(pm1o120dy,kadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),kadd(vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)]),kmadd(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(-56),kmadd(kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)])),ToReal(-8),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(28),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(70))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthSymmfdOrder82(u) (kmul(p1o560dy,kadd(vec_loadu_maybe3(0,-5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-5)+cdk*(0)]),kadd(vec_loadu_maybe3(0,5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(5)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-252),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-120),kmadd(kadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)])),ToReal(-10),kmadd(kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)])),ToReal(45),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(210))))))))))
+#else
+#  define PDupwindNthSymmfdOrder82(u) (PDupwindNthSymmfdOrder82_impl(u,p1o560dy,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder82_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o560dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder82_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o560dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o560dy,kadd(vec_loadu_maybe3(0,-5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-5)+cdk*(0)]),kadd(vec_loadu_maybe3(0,5,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(5)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-252),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-120),kmadd(kadd(vec_loadu_maybe3(0,-4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-4)+cdk*(0)]),vec_loadu_maybe3(0,4,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(4)+cdk*(0)])),ToReal(-10),kmadd(kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)])),ToReal(45),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(210)))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
 #  define PDonesided2(u) (kmul(p1ody,kmul(dir2,ksub(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(dir2)+cdk*(0)]),vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)])))))
 #else
 #  define PDonesided2(u) (PDonesided2_impl(u,p1ody,cdj,cdk))
@@ -227,83 +1004,143 @@ static CCTK_REAL_VEC PDonesided2_impl(CCTK_REAL const* restrict const u, CCTK_RE
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDonesided3(u) (kmul(p1odz,kmul(dir3,ksub(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(dir3)]),vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)])))))
+#  define PDupwindNthfdOrder23(u) (kmul(pm1o2dz,kmul(dir3,kadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2*dir3)]),kmadd(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(dir3)]),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(3)))))))
 #else
-#  define PDonesided3(u) (PDonesided3_impl(u,p1odz,cdj,cdk))
-static CCTK_REAL_VEC PDonesided3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1odz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDonesided3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1odz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDupwindNthfdOrder23(u) (PDupwindNthfdOrder23_impl(u,pm1o2dz,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{ assert(0); return ToReal(1e30); /* ERROR */ }
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthfdOrder43(u) (kmul(p1o12dz,kmul(dir3,kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3*dir3)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-10),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2*dir3)]),ToReal(-6),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-dir3)]),ToReal(-3),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(dir3)]),ToReal(18)))))))))
+#else
+#  define PDupwindNthfdOrder43(u) (PDupwindNthfdOrder43_impl(u,p1o12dz,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 { assert(0); return ToReal(1e30); /* ERROR */ }
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDupwindNthAnti1(u) (kmul(p1o24dx,kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-21),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),ToReal(-6),ksub(kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),ToReal(6),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(21))),vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)])))))))
+#  define PDupwindNthfdOrder63(u) (kmul(pm1o60dz,kmul(dir3,kadd(vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4*dir3)]),kmadd(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(dir3)]),ToReal(-80),kmadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3*dir3)]),ToReal(-8),kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2*dir3)]),ToReal(-2),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-dir3)]),ToReal(24),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2*dir3)]),ToReal(30),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(35)))))))))))
 #else
-#  define PDupwindNthAnti1(u) (PDupwindNthAnti1_impl(u,p1o24dx,cdj,cdk))
-static CCTK_REAL_VEC PDupwindNthAnti1_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDupwindNthAnti1_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDupwindNthfdOrder63(u) (PDupwindNthfdOrder63_impl(u,pm1o60dz,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthfdOrder63_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o60dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthfdOrder63_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o60dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{ assert(0); return ToReal(1e30); /* ERROR */ }
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthfdOrder83(u) (kmul(p1o840dz,kmul(dir3,kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-378),kmadd(vec_loadu_maybe3(0,0,5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(5*dir3)]),ToReal(3),kmul(ToReal(-5),kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3*dir3)]),kmadd(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(dir3)]),ToReal(-210),kmadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3*dir3)]),ToReal(-28),kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2*dir3)]),ToReal(-12),kmadd(vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4*dir3)]),ToReal(6),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-dir3)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2*dir3)])),ToReal(84)))))))))))))
+#else
+#  define PDupwindNthfdOrder83(u) (PDupwindNthfdOrder83_impl(u,p1o840dz,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthfdOrder83_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o840dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthfdOrder83_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o840dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{ assert(0); return ToReal(1e30); /* ERROR */ }
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthAntifdOrder23(u) (kmul(p1o4dz,kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-4),kmsub(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(4),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]))))))
+#else
+#  define PDupwindNthAntifdOrder23(u) (PDupwindNthAntifdOrder23_impl(u,p1o4dz,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthAntifdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthAntifdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
-  return kmul(p1o24dx,kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),ToReal(-21),kmadd(vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]),ToReal(-6),ksub(kmadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),ToReal(6),kmul(vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]),ToReal(21))),vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]))))));
+  return kmul(p1o4dz,kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-4),kmsub(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(4),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])))));
 }
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDupwindNthSymm1(u) (kmul(p1o24dx,kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(15))))))))
+#  define PDupwindNthAntifdOrder43(u) (kmul(p1o24dz,kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-21),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),ToReal(-6),ksub(kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),ToReal(6),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(21))),vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)])))))))
 #else
-#  define PDupwindNthSymm1(u) (PDupwindNthSymm1_impl(u,p1o24dx,cdj,cdk))
-static CCTK_REAL_VEC PDupwindNthSymm1_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDupwindNthSymm1_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDupwindNthAntifdOrder43(u) (PDupwindNthAntifdOrder43_impl(u,p1o24dz,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthAntifdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthAntifdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
-  return kmul(p1o24dx,kadd(vec_loadu_maybe3(-3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-3)+cdj*(0)+cdk*(0)]),kadd(vec_loadu_maybe3(3,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(3)+cdj*(0)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(-2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(2,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(-1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]),vec_loadu_maybe3(1,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])),ToReal(15)))))));
+  return kmul(p1o24dz,kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-21),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),ToReal(-6),ksub(kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),ToReal(6),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(21))),vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]))))));
 }
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDupwindNthAnti2(u) (kmul(p1o24dy,kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-21),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),ToReal(-6),ksub(kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),ToReal(6),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(21))),vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)])))))))
+#  define PDupwindNthAntifdOrder63(u) (kmul(p1o120dz,kadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-104),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),ToReal(-32),kmadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),ToReal(-8),ksub(kmadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),ToReal(8),kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),ToReal(32),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(104)))),vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)]))))))))
 #else
-#  define PDupwindNthAnti2(u) (PDupwindNthAnti2_impl(u,p1o24dy,cdj,cdk))
-static CCTK_REAL_VEC PDupwindNthAnti2_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDupwindNthAnti2_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDupwindNthAntifdOrder63(u) (PDupwindNthAntifdOrder63_impl(u,p1o120dz,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthAntifdOrder63_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o120dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthAntifdOrder63_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o120dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
-  return kmul(p1o24dy,kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),ToReal(-21),kmadd(vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]),ToReal(-6),ksub(kmadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),ToReal(6),kmul(vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]),ToReal(21))),vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]))))));
+  return kmul(p1o120dz,kadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-104),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),ToReal(-32),kmadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),ToReal(-8),ksub(kmadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),ToReal(8),kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),ToReal(32),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(104)))),vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)])))))));
 }
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDupwindNthSymm2(u) (kmul(p1o24dy,kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(15))))))))
+#  define PDupwindNthAntifdOrder83(u) (kmul(p1o1680dz,kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-1470),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),ToReal(-480),kmadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),ToReal(-145),kmadd(vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)]),ToReal(-30),kmadd(vec_loadu_maybe3(0,0,-5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-5)]),ToReal(-3),kmadd(vec_loadu_maybe3(0,0,5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(5)]),ToReal(3),kmadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),ToReal(30),kmadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),ToReal(145),kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),ToReal(480),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(1470)))))))))))))
 #else
-#  define PDupwindNthSymm2(u) (PDupwindNthSymm2_impl(u,p1o24dy,cdj,cdk))
-static CCTK_REAL_VEC PDupwindNthSymm2_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDupwindNthSymm2_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDupwindNthAntifdOrder83(u) (PDupwindNthAntifdOrder83_impl(u,p1o1680dz,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthAntifdOrder83_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o1680dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthAntifdOrder83_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o1680dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
-  return kmul(p1o24dy,kadd(vec_loadu_maybe3(0,-3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-3)+cdk*(0)]),kadd(vec_loadu_maybe3(0,3,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(3)+cdk*(0)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,-2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]),vec_loadu_maybe3(0,2,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,-1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]),vec_loadu_maybe3(0,1,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])),ToReal(15)))))));
+  return kmul(p1o1680dz,kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-1470),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),ToReal(-480),kmadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),ToReal(-145),kmadd(vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)]),ToReal(-30),kmadd(vec_loadu_maybe3(0,0,-5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-5)]),ToReal(-3),kmadd(vec_loadu_maybe3(0,0,5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(5)]),ToReal(3),kmadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),ToReal(30),kmadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),ToReal(145),kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),ToReal(480),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(1470))))))))))));
 }
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDupwindNthAnti3(u) (kmul(p1o24dz,kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-21),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),ToReal(-6),ksub(kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),ToReal(6),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(21))),vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)])))))))
+#  define PDupwindNthSymmfdOrder23(u) (kmul(pm1o4dz,kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(6)))))))
 #else
-#  define PDupwindNthAnti3(u) (PDupwindNthAnti3_impl(u,p1o24dz,cdj,cdk))
-static CCTK_REAL_VEC PDupwindNthAnti3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDupwindNthAnti3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDupwindNthSymmfdOrder23(u) (PDupwindNthSymmfdOrder23_impl(u,pm1o4dz,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o4dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o4dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
-  return kmul(p1o24dz,kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),kmadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),ToReal(-21),kmadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),ToReal(-6),ksub(kmadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),ToReal(6),kmul(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]),ToReal(21))),vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]))))));
+  return kmul(pm1o4dz,kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),kadd(vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]),kmadd(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(-4),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(6))))));
 }
 #endif
 
 #ifndef KRANC_DIFF_FUNCTIONS
-#  define PDupwindNthSymm3(u) (kmul(p1o24dz,kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(15))))))))
+#  define PDupwindNthSymmfdOrder43(u) (kmul(p1o24dz,kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(15))))))))
 #else
-#  define PDupwindNthSymm3(u) (PDupwindNthSymm3_impl(u,p1o24dz,cdj,cdk))
-static CCTK_REAL_VEC PDupwindNthSymm3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL_VEC PDupwindNthSymm3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+#  define PDupwindNthSymmfdOrder43(u) (PDupwindNthSymmfdOrder43_impl(u,p1o24dz,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o24dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
 {
   ptrdiff_t const cdi=sizeof(CCTK_REAL);
   return kmul(p1o24dz,kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),kadd(vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-20),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-6),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(15)))))));
 }
 #endif
 
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthSymmfdOrder63(u) (kmul(pm1o120dz,kadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)]),kmadd(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(-56),kmadd(kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)])),ToReal(-8),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(28),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(70)))))))))
+#else
+#  define PDupwindNthSymmfdOrder63(u) (PDupwindNthSymmfdOrder63_impl(u,pm1o120dz,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder63_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o120dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder63_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o120dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(pm1o120dz,kadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),kadd(vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)]),kmadd(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(-56),kmadd(kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)])),ToReal(-8),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(28),kmul(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(70))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDupwindNthSymmfdOrder83(u) (kmul(p1o560dz,kadd(vec_loadu_maybe3(0,0,-5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-5)]),kadd(vec_loadu_maybe3(0,0,5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(5)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-252),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-120),kmadd(kadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)])),ToReal(-10),kmadd(kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)])),ToReal(45),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(210))))))))))
+#else
+#  define PDupwindNthSymmfdOrder83(u) (PDupwindNthSymmfdOrder83_impl(u,p1o560dz,cdj,cdk))
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder83_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o560dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDupwindNthSymmfdOrder83_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o560dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+  ptrdiff_t const cdi=sizeof(CCTK_REAL);
+  return kmul(p1o560dz,kadd(vec_loadu_maybe3(0,0,-5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-5)]),kadd(vec_loadu_maybe3(0,0,5,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(5)]),kmadd(vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]),ToReal(-252),kmadd(kadd(vec_loadu_maybe3(0,0,-2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]),vec_loadu_maybe3(0,0,2,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)])),ToReal(-120),kmadd(kadd(vec_loadu_maybe3(0,0,-4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-4)]),vec_loadu_maybe3(0,0,4,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(4)])),ToReal(-10),kmadd(kadd(vec_loadu_maybe3(0,0,-3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-3)]),vec_loadu_maybe3(0,0,3,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(3)])),ToReal(45),kmul(kadd(vec_loadu_maybe3(0,0,-1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]),vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])),ToReal(210)))))))));
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+#  define PDonesided3(u) (kmul(p1odz,kmul(dir3,ksub(vec_loadu_maybe3(0,0,1,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(dir3)]),vec_loadu_maybe3(0,0,0,*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)])))))
+#else
+#  define PDonesided3(u) (PDonesided3_impl(u,p1odz,cdj,cdk))
+static CCTK_REAL_VEC PDonesided3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1odz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL_VEC PDonesided3_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1odz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{ assert(0); return ToReal(1e30); /* ERROR */ }
+#endif
+
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_Advect.cc b/ML_BSSN_MP/src/ML_BSSN_MP_Advect.cc
index 7c513e7..2ad912d 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_Advect.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_Advect.cc
@@ -79,7 +79,24 @@ static void ML_BSSN_MP_Advect_Body(cGH const * restrict const cctkGH, int const
   const char *groups[] = {"ML_BSSN_MP::ML_curv","ML_BSSN_MP::ML_curvrhs","ML_BSSN_MP::ML_dtlapse","ML_BSSN_MP::ML_dtlapserhs","ML_BSSN_MP::ML_dtshift","ML_BSSN_MP::ML_dtshiftrhs","ML_BSSN_MP::ML_Gamma","ML_BSSN_MP::ML_Gammarhs","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_lapserhs","ML_BSSN_MP::ML_log_confac","ML_BSSN_MP::ML_log_confacrhs","ML_BSSN_MP::ML_metric","ML_BSSN_MP::ML_metricrhs","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_shiftrhs","ML_BSSN_MP::ML_trace_curv","ML_BSSN_MP::ML_trace_curvrhs"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_Advect", 18, groups);
   
-  GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_Advect", 3, 3, 3);
+  switch(fdOrder)
+  {
+    case 2:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_Advect", 2, 2, 2);
+      break;
+    
+    case 4:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_Advect", 3, 3, 3);
+      break;
+    
+    case 6:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_Advect", 4, 4, 4);
+      break;
+    
+    case 8:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_Advect", 5, 5, 5);
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -107,24 +124,84 @@ static void ML_BSSN_MP_Advect_Body(cGH const * restrict const cctkGH, int const
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -252,156 +329,771 @@ static void ML_BSSN_MP_Advect_Body(cGH const * restrict const cctkGH, int const
     /* Include user supplied include files */
     
     /* Precompute derivatives */
-    CCTK_REAL_VEC const PDupwindNthAnti1A = PDupwindNthAnti1(&A[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1A = PDupwindNthSymm1(&A[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2A = PDupwindNthAnti2(&A[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2A = PDupwindNthSymm2(&A[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3A = PDupwindNthAnti3(&A[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3A = PDupwindNthSymm3(&A[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1At11 = PDupwindNthAnti1(&At11[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1At11 = PDupwindNthSymm1(&At11[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2At11 = PDupwindNthAnti2(&At11[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2At11 = PDupwindNthSymm2(&At11[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3At11 = PDupwindNthAnti3(&At11[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3At11 = PDupwindNthSymm3(&At11[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1At12 = PDupwindNthAnti1(&At12[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1At12 = PDupwindNthSymm1(&At12[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2At12 = PDupwindNthAnti2(&At12[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2At12 = PDupwindNthSymm2(&At12[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3At12 = PDupwindNthAnti3(&At12[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3At12 = PDupwindNthSymm3(&At12[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1At13 = PDupwindNthAnti1(&At13[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1At13 = PDupwindNthSymm1(&At13[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2At13 = PDupwindNthAnti2(&At13[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2At13 = PDupwindNthSymm2(&At13[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3At13 = PDupwindNthAnti3(&At13[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3At13 = PDupwindNthSymm3(&At13[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1At22 = PDupwindNthAnti1(&At22[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1At22 = PDupwindNthSymm1(&At22[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2At22 = PDupwindNthAnti2(&At22[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2At22 = PDupwindNthSymm2(&At22[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3At22 = PDupwindNthAnti3(&At22[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3At22 = PDupwindNthSymm3(&At22[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1At23 = PDupwindNthAnti1(&At23[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1At23 = PDupwindNthSymm1(&At23[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2At23 = PDupwindNthAnti2(&At23[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2At23 = PDupwindNthSymm2(&At23[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3At23 = PDupwindNthAnti3(&At23[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3At23 = PDupwindNthSymm3(&At23[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1At33 = PDupwindNthAnti1(&At33[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1At33 = PDupwindNthSymm1(&At33[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2At33 = PDupwindNthAnti2(&At33[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2At33 = PDupwindNthSymm2(&At33[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3At33 = PDupwindNthAnti3(&At33[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3At33 = PDupwindNthSymm3(&At33[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1B1 = PDupwindNthAnti1(&B1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1B1 = PDupwindNthSymm1(&B1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2B1 = PDupwindNthAnti2(&B1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2B1 = PDupwindNthSymm2(&B1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3B1 = PDupwindNthAnti3(&B1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3B1 = PDupwindNthSymm3(&B1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1B2 = PDupwindNthAnti1(&B2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1B2 = PDupwindNthSymm1(&B2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2B2 = PDupwindNthAnti2(&B2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2B2 = PDupwindNthSymm2(&B2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3B2 = PDupwindNthAnti3(&B2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3B2 = PDupwindNthSymm3(&B2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1B3 = PDupwindNthAnti1(&B3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1B3 = PDupwindNthSymm1(&B3[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2B3 = PDupwindNthAnti2(&B3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2B3 = PDupwindNthSymm2(&B3[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3B3 = PDupwindNthAnti3(&B3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3B3 = PDupwindNthSymm3(&B3[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1gt11 = PDupwindNthAnti1(&gt11[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1gt11 = PDupwindNthSymm1(&gt11[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2gt11 = PDupwindNthAnti2(&gt11[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2gt11 = PDupwindNthSymm2(&gt11[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3gt11 = PDupwindNthAnti3(&gt11[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3gt11 = PDupwindNthSymm3(&gt11[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1gt12 = PDupwindNthAnti1(&gt12[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1gt12 = PDupwindNthSymm1(&gt12[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2gt12 = PDupwindNthAnti2(&gt12[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2gt12 = PDupwindNthSymm2(&gt12[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3gt12 = PDupwindNthAnti3(&gt12[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3gt12 = PDupwindNthSymm3(&gt12[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1gt13 = PDupwindNthAnti1(&gt13[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1gt13 = PDupwindNthSymm1(&gt13[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2gt13 = PDupwindNthAnti2(&gt13[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2gt13 = PDupwindNthSymm2(&gt13[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3gt13 = PDupwindNthAnti3(&gt13[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3gt13 = PDupwindNthSymm3(&gt13[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1gt22 = PDupwindNthAnti1(&gt22[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1gt22 = PDupwindNthSymm1(&gt22[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2gt22 = PDupwindNthAnti2(&gt22[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2gt22 = PDupwindNthSymm2(&gt22[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3gt22 = PDupwindNthAnti3(&gt22[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3gt22 = PDupwindNthSymm3(&gt22[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1gt23 = PDupwindNthAnti1(&gt23[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1gt23 = PDupwindNthSymm1(&gt23[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2gt23 = PDupwindNthAnti2(&gt23[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2gt23 = PDupwindNthSymm2(&gt23[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3gt23 = PDupwindNthAnti3(&gt23[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3gt23 = PDupwindNthSymm3(&gt23[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1gt33 = PDupwindNthAnti1(&gt33[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1gt33 = PDupwindNthSymm1(&gt33[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2gt33 = PDupwindNthAnti2(&gt33[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2gt33 = PDupwindNthSymm2(&gt33[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3gt33 = PDupwindNthAnti3(&gt33[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3gt33 = PDupwindNthSymm3(&gt33[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1phi = PDupwindNthAnti1(&phi[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1phi = PDupwindNthSymm1(&phi[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2phi = PDupwindNthAnti2(&phi[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2phi = PDupwindNthSymm2(&phi[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3phi = PDupwindNthAnti3(&phi[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3phi = PDupwindNthSymm3(&phi[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1trK = PDupwindNthAnti1(&trK[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1trK = PDupwindNthSymm1(&trK[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2trK = PDupwindNthAnti2(&trK[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2trK = PDupwindNthSymm2(&trK[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3trK = PDupwindNthAnti3(&trK[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3trK = PDupwindNthSymm3(&trK[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1Xt1 = PDupwindNthAnti1(&Xt1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1Xt1 = PDupwindNthSymm1(&Xt1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2Xt1 = PDupwindNthAnti2(&Xt1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2Xt1 = PDupwindNthSymm2(&Xt1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3Xt1 = PDupwindNthAnti3(&Xt1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3Xt1 = PDupwindNthSymm3(&Xt1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1Xt2 = PDupwindNthAnti1(&Xt2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1Xt2 = PDupwindNthSymm1(&Xt2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2Xt2 = PDupwindNthAnti2(&Xt2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2Xt2 = PDupwindNthSymm2(&Xt2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3Xt2 = PDupwindNthAnti3(&Xt2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3Xt2 = PDupwindNthSymm3(&Xt2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1Xt3 = PDupwindNthAnti1(&Xt3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1Xt3 = PDupwindNthSymm1(&Xt3[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2Xt3 = PDupwindNthAnti2(&Xt3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2Xt3 = PDupwindNthSymm2(&Xt3[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3Xt3 = PDupwindNthAnti3(&Xt3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3Xt3 = PDupwindNthSymm3(&Xt3[index]);
+    CCTK_REAL_VEC PDupwindNthAnti1A;
+    CCTK_REAL_VEC PDupwindNthSymm1A;
+    CCTK_REAL_VEC PDupwindNthAnti2A;
+    CCTK_REAL_VEC PDupwindNthSymm2A;
+    CCTK_REAL_VEC PDupwindNthAnti3A;
+    CCTK_REAL_VEC PDupwindNthSymm3A;
+    CCTK_REAL_VEC PDupwindNthAnti1alpha;
+    CCTK_REAL_VEC PDupwindNthSymm1alpha;
+    CCTK_REAL_VEC PDupwindNthAnti2alpha;
+    CCTK_REAL_VEC PDupwindNthSymm2alpha;
+    CCTK_REAL_VEC PDupwindNthAnti3alpha;
+    CCTK_REAL_VEC PDupwindNthSymm3alpha;
+    CCTK_REAL_VEC PDupwindNthAnti1At11;
+    CCTK_REAL_VEC PDupwindNthSymm1At11;
+    CCTK_REAL_VEC PDupwindNthAnti2At11;
+    CCTK_REAL_VEC PDupwindNthSymm2At11;
+    CCTK_REAL_VEC PDupwindNthAnti3At11;
+    CCTK_REAL_VEC PDupwindNthSymm3At11;
+    CCTK_REAL_VEC PDupwindNthAnti1At12;
+    CCTK_REAL_VEC PDupwindNthSymm1At12;
+    CCTK_REAL_VEC PDupwindNthAnti2At12;
+    CCTK_REAL_VEC PDupwindNthSymm2At12;
+    CCTK_REAL_VEC PDupwindNthAnti3At12;
+    CCTK_REAL_VEC PDupwindNthSymm3At12;
+    CCTK_REAL_VEC PDupwindNthAnti1At13;
+    CCTK_REAL_VEC PDupwindNthSymm1At13;
+    CCTK_REAL_VEC PDupwindNthAnti2At13;
+    CCTK_REAL_VEC PDupwindNthSymm2At13;
+    CCTK_REAL_VEC PDupwindNthAnti3At13;
+    CCTK_REAL_VEC PDupwindNthSymm3At13;
+    CCTK_REAL_VEC PDupwindNthAnti1At22;
+    CCTK_REAL_VEC PDupwindNthSymm1At22;
+    CCTK_REAL_VEC PDupwindNthAnti2At22;
+    CCTK_REAL_VEC PDupwindNthSymm2At22;
+    CCTK_REAL_VEC PDupwindNthAnti3At22;
+    CCTK_REAL_VEC PDupwindNthSymm3At22;
+    CCTK_REAL_VEC PDupwindNthAnti1At23;
+    CCTK_REAL_VEC PDupwindNthSymm1At23;
+    CCTK_REAL_VEC PDupwindNthAnti2At23;
+    CCTK_REAL_VEC PDupwindNthSymm2At23;
+    CCTK_REAL_VEC PDupwindNthAnti3At23;
+    CCTK_REAL_VEC PDupwindNthSymm3At23;
+    CCTK_REAL_VEC PDupwindNthAnti1At33;
+    CCTK_REAL_VEC PDupwindNthSymm1At33;
+    CCTK_REAL_VEC PDupwindNthAnti2At33;
+    CCTK_REAL_VEC PDupwindNthSymm2At33;
+    CCTK_REAL_VEC PDupwindNthAnti3At33;
+    CCTK_REAL_VEC PDupwindNthSymm3At33;
+    CCTK_REAL_VEC PDupwindNthAnti1B1;
+    CCTK_REAL_VEC PDupwindNthSymm1B1;
+    CCTK_REAL_VEC PDupwindNthAnti2B1;
+    CCTK_REAL_VEC PDupwindNthSymm2B1;
+    CCTK_REAL_VEC PDupwindNthAnti3B1;
+    CCTK_REAL_VEC PDupwindNthSymm3B1;
+    CCTK_REAL_VEC PDupwindNthAnti1B2;
+    CCTK_REAL_VEC PDupwindNthSymm1B2;
+    CCTK_REAL_VEC PDupwindNthAnti2B2;
+    CCTK_REAL_VEC PDupwindNthSymm2B2;
+    CCTK_REAL_VEC PDupwindNthAnti3B2;
+    CCTK_REAL_VEC PDupwindNthSymm3B2;
+    CCTK_REAL_VEC PDupwindNthAnti1B3;
+    CCTK_REAL_VEC PDupwindNthSymm1B3;
+    CCTK_REAL_VEC PDupwindNthAnti2B3;
+    CCTK_REAL_VEC PDupwindNthSymm2B3;
+    CCTK_REAL_VEC PDupwindNthAnti3B3;
+    CCTK_REAL_VEC PDupwindNthSymm3B3;
+    CCTK_REAL_VEC PDupwindNthAnti1beta1;
+    CCTK_REAL_VEC PDupwindNthSymm1beta1;
+    CCTK_REAL_VEC PDupwindNthAnti2beta1;
+    CCTK_REAL_VEC PDupwindNthSymm2beta1;
+    CCTK_REAL_VEC PDupwindNthAnti3beta1;
+    CCTK_REAL_VEC PDupwindNthSymm3beta1;
+    CCTK_REAL_VEC PDupwindNthAnti1beta2;
+    CCTK_REAL_VEC PDupwindNthSymm1beta2;
+    CCTK_REAL_VEC PDupwindNthAnti2beta2;
+    CCTK_REAL_VEC PDupwindNthSymm2beta2;
+    CCTK_REAL_VEC PDupwindNthAnti3beta2;
+    CCTK_REAL_VEC PDupwindNthSymm3beta2;
+    CCTK_REAL_VEC PDupwindNthAnti1beta3;
+    CCTK_REAL_VEC PDupwindNthSymm1beta3;
+    CCTK_REAL_VEC PDupwindNthAnti2beta3;
+    CCTK_REAL_VEC PDupwindNthSymm2beta3;
+    CCTK_REAL_VEC PDupwindNthAnti3beta3;
+    CCTK_REAL_VEC PDupwindNthSymm3beta3;
+    CCTK_REAL_VEC PDupwindNthAnti1gt11;
+    CCTK_REAL_VEC PDupwindNthSymm1gt11;
+    CCTK_REAL_VEC PDupwindNthAnti2gt11;
+    CCTK_REAL_VEC PDupwindNthSymm2gt11;
+    CCTK_REAL_VEC PDupwindNthAnti3gt11;
+    CCTK_REAL_VEC PDupwindNthSymm3gt11;
+    CCTK_REAL_VEC PDupwindNthAnti1gt12;
+    CCTK_REAL_VEC PDupwindNthSymm1gt12;
+    CCTK_REAL_VEC PDupwindNthAnti2gt12;
+    CCTK_REAL_VEC PDupwindNthSymm2gt12;
+    CCTK_REAL_VEC PDupwindNthAnti3gt12;
+    CCTK_REAL_VEC PDupwindNthSymm3gt12;
+    CCTK_REAL_VEC PDupwindNthAnti1gt13;
+    CCTK_REAL_VEC PDupwindNthSymm1gt13;
+    CCTK_REAL_VEC PDupwindNthAnti2gt13;
+    CCTK_REAL_VEC PDupwindNthSymm2gt13;
+    CCTK_REAL_VEC PDupwindNthAnti3gt13;
+    CCTK_REAL_VEC PDupwindNthSymm3gt13;
+    CCTK_REAL_VEC PDupwindNthAnti1gt22;
+    CCTK_REAL_VEC PDupwindNthSymm1gt22;
+    CCTK_REAL_VEC PDupwindNthAnti2gt22;
+    CCTK_REAL_VEC PDupwindNthSymm2gt22;
+    CCTK_REAL_VEC PDupwindNthAnti3gt22;
+    CCTK_REAL_VEC PDupwindNthSymm3gt22;
+    CCTK_REAL_VEC PDupwindNthAnti1gt23;
+    CCTK_REAL_VEC PDupwindNthSymm1gt23;
+    CCTK_REAL_VEC PDupwindNthAnti2gt23;
+    CCTK_REAL_VEC PDupwindNthSymm2gt23;
+    CCTK_REAL_VEC PDupwindNthAnti3gt23;
+    CCTK_REAL_VEC PDupwindNthSymm3gt23;
+    CCTK_REAL_VEC PDupwindNthAnti1gt33;
+    CCTK_REAL_VEC PDupwindNthSymm1gt33;
+    CCTK_REAL_VEC PDupwindNthAnti2gt33;
+    CCTK_REAL_VEC PDupwindNthSymm2gt33;
+    CCTK_REAL_VEC PDupwindNthAnti3gt33;
+    CCTK_REAL_VEC PDupwindNthSymm3gt33;
+    CCTK_REAL_VEC PDupwindNthAnti1phi;
+    CCTK_REAL_VEC PDupwindNthSymm1phi;
+    CCTK_REAL_VEC PDupwindNthAnti2phi;
+    CCTK_REAL_VEC PDupwindNthSymm2phi;
+    CCTK_REAL_VEC PDupwindNthAnti3phi;
+    CCTK_REAL_VEC PDupwindNthSymm3phi;
+    CCTK_REAL_VEC PDupwindNthAnti1trK;
+    CCTK_REAL_VEC PDupwindNthSymm1trK;
+    CCTK_REAL_VEC PDupwindNthAnti2trK;
+    CCTK_REAL_VEC PDupwindNthSymm2trK;
+    CCTK_REAL_VEC PDupwindNthAnti3trK;
+    CCTK_REAL_VEC PDupwindNthSymm3trK;
+    CCTK_REAL_VEC PDupwindNthAnti1Xt1;
+    CCTK_REAL_VEC PDupwindNthSymm1Xt1;
+    CCTK_REAL_VEC PDupwindNthAnti2Xt1;
+    CCTK_REAL_VEC PDupwindNthSymm2Xt1;
+    CCTK_REAL_VEC PDupwindNthAnti3Xt1;
+    CCTK_REAL_VEC PDupwindNthSymm3Xt1;
+    CCTK_REAL_VEC PDupwindNthAnti1Xt2;
+    CCTK_REAL_VEC PDupwindNthSymm1Xt2;
+    CCTK_REAL_VEC PDupwindNthAnti2Xt2;
+    CCTK_REAL_VEC PDupwindNthSymm2Xt2;
+    CCTK_REAL_VEC PDupwindNthAnti3Xt2;
+    CCTK_REAL_VEC PDupwindNthSymm3Xt2;
+    CCTK_REAL_VEC PDupwindNthAnti1Xt3;
+    CCTK_REAL_VEC PDupwindNthSymm1Xt3;
+    CCTK_REAL_VEC PDupwindNthAnti2Xt3;
+    CCTK_REAL_VEC PDupwindNthSymm2Xt3;
+    CCTK_REAL_VEC PDupwindNthAnti3Xt3;
+    CCTK_REAL_VEC PDupwindNthSymm3Xt3;
+    
+    switch(fdOrder)
+    {
+      case 2:
+        PDupwindNthAnti1A = PDupwindNthAntifdOrder21(&A[index]);
+        PDupwindNthSymm1A = PDupwindNthSymmfdOrder21(&A[index]);
+        PDupwindNthAnti2A = PDupwindNthAntifdOrder22(&A[index]);
+        PDupwindNthSymm2A = PDupwindNthSymmfdOrder22(&A[index]);
+        PDupwindNthAnti3A = PDupwindNthAntifdOrder23(&A[index]);
+        PDupwindNthSymm3A = PDupwindNthSymmfdOrder23(&A[index]);
+        PDupwindNthAnti1alpha = PDupwindNthAntifdOrder21(&alpha[index]);
+        PDupwindNthSymm1alpha = PDupwindNthSymmfdOrder21(&alpha[index]);
+        PDupwindNthAnti2alpha = PDupwindNthAntifdOrder22(&alpha[index]);
+        PDupwindNthSymm2alpha = PDupwindNthSymmfdOrder22(&alpha[index]);
+        PDupwindNthAnti3alpha = PDupwindNthAntifdOrder23(&alpha[index]);
+        PDupwindNthSymm3alpha = PDupwindNthSymmfdOrder23(&alpha[index]);
+        PDupwindNthAnti1At11 = PDupwindNthAntifdOrder21(&At11[index]);
+        PDupwindNthSymm1At11 = PDupwindNthSymmfdOrder21(&At11[index]);
+        PDupwindNthAnti2At11 = PDupwindNthAntifdOrder22(&At11[index]);
+        PDupwindNthSymm2At11 = PDupwindNthSymmfdOrder22(&At11[index]);
+        PDupwindNthAnti3At11 = PDupwindNthAntifdOrder23(&At11[index]);
+        PDupwindNthSymm3At11 = PDupwindNthSymmfdOrder23(&At11[index]);
+        PDupwindNthAnti1At12 = PDupwindNthAntifdOrder21(&At12[index]);
+        PDupwindNthSymm1At12 = PDupwindNthSymmfdOrder21(&At12[index]);
+        PDupwindNthAnti2At12 = PDupwindNthAntifdOrder22(&At12[index]);
+        PDupwindNthSymm2At12 = PDupwindNthSymmfdOrder22(&At12[index]);
+        PDupwindNthAnti3At12 = PDupwindNthAntifdOrder23(&At12[index]);
+        PDupwindNthSymm3At12 = PDupwindNthSymmfdOrder23(&At12[index]);
+        PDupwindNthAnti1At13 = PDupwindNthAntifdOrder21(&At13[index]);
+        PDupwindNthSymm1At13 = PDupwindNthSymmfdOrder21(&At13[index]);
+        PDupwindNthAnti2At13 = PDupwindNthAntifdOrder22(&At13[index]);
+        PDupwindNthSymm2At13 = PDupwindNthSymmfdOrder22(&At13[index]);
+        PDupwindNthAnti3At13 = PDupwindNthAntifdOrder23(&At13[index]);
+        PDupwindNthSymm3At13 = PDupwindNthSymmfdOrder23(&At13[index]);
+        PDupwindNthAnti1At22 = PDupwindNthAntifdOrder21(&At22[index]);
+        PDupwindNthSymm1At22 = PDupwindNthSymmfdOrder21(&At22[index]);
+        PDupwindNthAnti2At22 = PDupwindNthAntifdOrder22(&At22[index]);
+        PDupwindNthSymm2At22 = PDupwindNthSymmfdOrder22(&At22[index]);
+        PDupwindNthAnti3At22 = PDupwindNthAntifdOrder23(&At22[index]);
+        PDupwindNthSymm3At22 = PDupwindNthSymmfdOrder23(&At22[index]);
+        PDupwindNthAnti1At23 = PDupwindNthAntifdOrder21(&At23[index]);
+        PDupwindNthSymm1At23 = PDupwindNthSymmfdOrder21(&At23[index]);
+        PDupwindNthAnti2At23 = PDupwindNthAntifdOrder22(&At23[index]);
+        PDupwindNthSymm2At23 = PDupwindNthSymmfdOrder22(&At23[index]);
+        PDupwindNthAnti3At23 = PDupwindNthAntifdOrder23(&At23[index]);
+        PDupwindNthSymm3At23 = PDupwindNthSymmfdOrder23(&At23[index]);
+        PDupwindNthAnti1At33 = PDupwindNthAntifdOrder21(&At33[index]);
+        PDupwindNthSymm1At33 = PDupwindNthSymmfdOrder21(&At33[index]);
+        PDupwindNthAnti2At33 = PDupwindNthAntifdOrder22(&At33[index]);
+        PDupwindNthSymm2At33 = PDupwindNthSymmfdOrder22(&At33[index]);
+        PDupwindNthAnti3At33 = PDupwindNthAntifdOrder23(&At33[index]);
+        PDupwindNthSymm3At33 = PDupwindNthSymmfdOrder23(&At33[index]);
+        PDupwindNthAnti1B1 = PDupwindNthAntifdOrder21(&B1[index]);
+        PDupwindNthSymm1B1 = PDupwindNthSymmfdOrder21(&B1[index]);
+        PDupwindNthAnti2B1 = PDupwindNthAntifdOrder22(&B1[index]);
+        PDupwindNthSymm2B1 = PDupwindNthSymmfdOrder22(&B1[index]);
+        PDupwindNthAnti3B1 = PDupwindNthAntifdOrder23(&B1[index]);
+        PDupwindNthSymm3B1 = PDupwindNthSymmfdOrder23(&B1[index]);
+        PDupwindNthAnti1B2 = PDupwindNthAntifdOrder21(&B2[index]);
+        PDupwindNthSymm1B2 = PDupwindNthSymmfdOrder21(&B2[index]);
+        PDupwindNthAnti2B2 = PDupwindNthAntifdOrder22(&B2[index]);
+        PDupwindNthSymm2B2 = PDupwindNthSymmfdOrder22(&B2[index]);
+        PDupwindNthAnti3B2 = PDupwindNthAntifdOrder23(&B2[index]);
+        PDupwindNthSymm3B2 = PDupwindNthSymmfdOrder23(&B2[index]);
+        PDupwindNthAnti1B3 = PDupwindNthAntifdOrder21(&B3[index]);
+        PDupwindNthSymm1B3 = PDupwindNthSymmfdOrder21(&B3[index]);
+        PDupwindNthAnti2B3 = PDupwindNthAntifdOrder22(&B3[index]);
+        PDupwindNthSymm2B3 = PDupwindNthSymmfdOrder22(&B3[index]);
+        PDupwindNthAnti3B3 = PDupwindNthAntifdOrder23(&B3[index]);
+        PDupwindNthSymm3B3 = PDupwindNthSymmfdOrder23(&B3[index]);
+        PDupwindNthAnti1beta1 = PDupwindNthAntifdOrder21(&beta1[index]);
+        PDupwindNthSymm1beta1 = PDupwindNthSymmfdOrder21(&beta1[index]);
+        PDupwindNthAnti2beta1 = PDupwindNthAntifdOrder22(&beta1[index]);
+        PDupwindNthSymm2beta1 = PDupwindNthSymmfdOrder22(&beta1[index]);
+        PDupwindNthAnti3beta1 = PDupwindNthAntifdOrder23(&beta1[index]);
+        PDupwindNthSymm3beta1 = PDupwindNthSymmfdOrder23(&beta1[index]);
+        PDupwindNthAnti1beta2 = PDupwindNthAntifdOrder21(&beta2[index]);
+        PDupwindNthSymm1beta2 = PDupwindNthSymmfdOrder21(&beta2[index]);
+        PDupwindNthAnti2beta2 = PDupwindNthAntifdOrder22(&beta2[index]);
+        PDupwindNthSymm2beta2 = PDupwindNthSymmfdOrder22(&beta2[index]);
+        PDupwindNthAnti3beta2 = PDupwindNthAntifdOrder23(&beta2[index]);
+        PDupwindNthSymm3beta2 = PDupwindNthSymmfdOrder23(&beta2[index]);
+        PDupwindNthAnti1beta3 = PDupwindNthAntifdOrder21(&beta3[index]);
+        PDupwindNthSymm1beta3 = PDupwindNthSymmfdOrder21(&beta3[index]);
+        PDupwindNthAnti2beta3 = PDupwindNthAntifdOrder22(&beta3[index]);
+        PDupwindNthSymm2beta3 = PDupwindNthSymmfdOrder22(&beta3[index]);
+        PDupwindNthAnti3beta3 = PDupwindNthAntifdOrder23(&beta3[index]);
+        PDupwindNthSymm3beta3 = PDupwindNthSymmfdOrder23(&beta3[index]);
+        PDupwindNthAnti1gt11 = PDupwindNthAntifdOrder21(&gt11[index]);
+        PDupwindNthSymm1gt11 = PDupwindNthSymmfdOrder21(&gt11[index]);
+        PDupwindNthAnti2gt11 = PDupwindNthAntifdOrder22(&gt11[index]);
+        PDupwindNthSymm2gt11 = PDupwindNthSymmfdOrder22(&gt11[index]);
+        PDupwindNthAnti3gt11 = PDupwindNthAntifdOrder23(&gt11[index]);
+        PDupwindNthSymm3gt11 = PDupwindNthSymmfdOrder23(&gt11[index]);
+        PDupwindNthAnti1gt12 = PDupwindNthAntifdOrder21(&gt12[index]);
+        PDupwindNthSymm1gt12 = PDupwindNthSymmfdOrder21(&gt12[index]);
+        PDupwindNthAnti2gt12 = PDupwindNthAntifdOrder22(&gt12[index]);
+        PDupwindNthSymm2gt12 = PDupwindNthSymmfdOrder22(&gt12[index]);
+        PDupwindNthAnti3gt12 = PDupwindNthAntifdOrder23(&gt12[index]);
+        PDupwindNthSymm3gt12 = PDupwindNthSymmfdOrder23(&gt12[index]);
+        PDupwindNthAnti1gt13 = PDupwindNthAntifdOrder21(&gt13[index]);
+        PDupwindNthSymm1gt13 = PDupwindNthSymmfdOrder21(&gt13[index]);
+        PDupwindNthAnti2gt13 = PDupwindNthAntifdOrder22(&gt13[index]);
+        PDupwindNthSymm2gt13 = PDupwindNthSymmfdOrder22(&gt13[index]);
+        PDupwindNthAnti3gt13 = PDupwindNthAntifdOrder23(&gt13[index]);
+        PDupwindNthSymm3gt13 = PDupwindNthSymmfdOrder23(&gt13[index]);
+        PDupwindNthAnti1gt22 = PDupwindNthAntifdOrder21(&gt22[index]);
+        PDupwindNthSymm1gt22 = PDupwindNthSymmfdOrder21(&gt22[index]);
+        PDupwindNthAnti2gt22 = PDupwindNthAntifdOrder22(&gt22[index]);
+        PDupwindNthSymm2gt22 = PDupwindNthSymmfdOrder22(&gt22[index]);
+        PDupwindNthAnti3gt22 = PDupwindNthAntifdOrder23(&gt22[index]);
+        PDupwindNthSymm3gt22 = PDupwindNthSymmfdOrder23(&gt22[index]);
+        PDupwindNthAnti1gt23 = PDupwindNthAntifdOrder21(&gt23[index]);
+        PDupwindNthSymm1gt23 = PDupwindNthSymmfdOrder21(&gt23[index]);
+        PDupwindNthAnti2gt23 = PDupwindNthAntifdOrder22(&gt23[index]);
+        PDupwindNthSymm2gt23 = PDupwindNthSymmfdOrder22(&gt23[index]);
+        PDupwindNthAnti3gt23 = PDupwindNthAntifdOrder23(&gt23[index]);
+        PDupwindNthSymm3gt23 = PDupwindNthSymmfdOrder23(&gt23[index]);
+        PDupwindNthAnti1gt33 = PDupwindNthAntifdOrder21(&gt33[index]);
+        PDupwindNthSymm1gt33 = PDupwindNthSymmfdOrder21(&gt33[index]);
+        PDupwindNthAnti2gt33 = PDupwindNthAntifdOrder22(&gt33[index]);
+        PDupwindNthSymm2gt33 = PDupwindNthSymmfdOrder22(&gt33[index]);
+        PDupwindNthAnti3gt33 = PDupwindNthAntifdOrder23(&gt33[index]);
+        PDupwindNthSymm3gt33 = PDupwindNthSymmfdOrder23(&gt33[index]);
+        PDupwindNthAnti1phi = PDupwindNthAntifdOrder21(&phi[index]);
+        PDupwindNthSymm1phi = PDupwindNthSymmfdOrder21(&phi[index]);
+        PDupwindNthAnti2phi = PDupwindNthAntifdOrder22(&phi[index]);
+        PDupwindNthSymm2phi = PDupwindNthSymmfdOrder22(&phi[index]);
+        PDupwindNthAnti3phi = PDupwindNthAntifdOrder23(&phi[index]);
+        PDupwindNthSymm3phi = PDupwindNthSymmfdOrder23(&phi[index]);
+        PDupwindNthAnti1trK = PDupwindNthAntifdOrder21(&trK[index]);
+        PDupwindNthSymm1trK = PDupwindNthSymmfdOrder21(&trK[index]);
+        PDupwindNthAnti2trK = PDupwindNthAntifdOrder22(&trK[index]);
+        PDupwindNthSymm2trK = PDupwindNthSymmfdOrder22(&trK[index]);
+        PDupwindNthAnti3trK = PDupwindNthAntifdOrder23(&trK[index]);
+        PDupwindNthSymm3trK = PDupwindNthSymmfdOrder23(&trK[index]);
+        PDupwindNthAnti1Xt1 = PDupwindNthAntifdOrder21(&Xt1[index]);
+        PDupwindNthSymm1Xt1 = PDupwindNthSymmfdOrder21(&Xt1[index]);
+        PDupwindNthAnti2Xt1 = PDupwindNthAntifdOrder22(&Xt1[index]);
+        PDupwindNthSymm2Xt1 = PDupwindNthSymmfdOrder22(&Xt1[index]);
+        PDupwindNthAnti3Xt1 = PDupwindNthAntifdOrder23(&Xt1[index]);
+        PDupwindNthSymm3Xt1 = PDupwindNthSymmfdOrder23(&Xt1[index]);
+        PDupwindNthAnti1Xt2 = PDupwindNthAntifdOrder21(&Xt2[index]);
+        PDupwindNthSymm1Xt2 = PDupwindNthSymmfdOrder21(&Xt2[index]);
+        PDupwindNthAnti2Xt2 = PDupwindNthAntifdOrder22(&Xt2[index]);
+        PDupwindNthSymm2Xt2 = PDupwindNthSymmfdOrder22(&Xt2[index]);
+        PDupwindNthAnti3Xt2 = PDupwindNthAntifdOrder23(&Xt2[index]);
+        PDupwindNthSymm3Xt2 = PDupwindNthSymmfdOrder23(&Xt2[index]);
+        PDupwindNthAnti1Xt3 = PDupwindNthAntifdOrder21(&Xt3[index]);
+        PDupwindNthSymm1Xt3 = PDupwindNthSymmfdOrder21(&Xt3[index]);
+        PDupwindNthAnti2Xt3 = PDupwindNthAntifdOrder22(&Xt3[index]);
+        PDupwindNthSymm2Xt3 = PDupwindNthSymmfdOrder22(&Xt3[index]);
+        PDupwindNthAnti3Xt3 = PDupwindNthAntifdOrder23(&Xt3[index]);
+        PDupwindNthSymm3Xt3 = PDupwindNthSymmfdOrder23(&Xt3[index]);
+        break;
+      
+      case 4:
+        PDupwindNthAnti1A = PDupwindNthAntifdOrder41(&A[index]);
+        PDupwindNthSymm1A = PDupwindNthSymmfdOrder41(&A[index]);
+        PDupwindNthAnti2A = PDupwindNthAntifdOrder42(&A[index]);
+        PDupwindNthSymm2A = PDupwindNthSymmfdOrder42(&A[index]);
+        PDupwindNthAnti3A = PDupwindNthAntifdOrder43(&A[index]);
+        PDupwindNthSymm3A = PDupwindNthSymmfdOrder43(&A[index]);
+        PDupwindNthAnti1alpha = PDupwindNthAntifdOrder41(&alpha[index]);
+        PDupwindNthSymm1alpha = PDupwindNthSymmfdOrder41(&alpha[index]);
+        PDupwindNthAnti2alpha = PDupwindNthAntifdOrder42(&alpha[index]);
+        PDupwindNthSymm2alpha = PDupwindNthSymmfdOrder42(&alpha[index]);
+        PDupwindNthAnti3alpha = PDupwindNthAntifdOrder43(&alpha[index]);
+        PDupwindNthSymm3alpha = PDupwindNthSymmfdOrder43(&alpha[index]);
+        PDupwindNthAnti1At11 = PDupwindNthAntifdOrder41(&At11[index]);
+        PDupwindNthSymm1At11 = PDupwindNthSymmfdOrder41(&At11[index]);
+        PDupwindNthAnti2At11 = PDupwindNthAntifdOrder42(&At11[index]);
+        PDupwindNthSymm2At11 = PDupwindNthSymmfdOrder42(&At11[index]);
+        PDupwindNthAnti3At11 = PDupwindNthAntifdOrder43(&At11[index]);
+        PDupwindNthSymm3At11 = PDupwindNthSymmfdOrder43(&At11[index]);
+        PDupwindNthAnti1At12 = PDupwindNthAntifdOrder41(&At12[index]);
+        PDupwindNthSymm1At12 = PDupwindNthSymmfdOrder41(&At12[index]);
+        PDupwindNthAnti2At12 = PDupwindNthAntifdOrder42(&At12[index]);
+        PDupwindNthSymm2At12 = PDupwindNthSymmfdOrder42(&At12[index]);
+        PDupwindNthAnti3At12 = PDupwindNthAntifdOrder43(&At12[index]);
+        PDupwindNthSymm3At12 = PDupwindNthSymmfdOrder43(&At12[index]);
+        PDupwindNthAnti1At13 = PDupwindNthAntifdOrder41(&At13[index]);
+        PDupwindNthSymm1At13 = PDupwindNthSymmfdOrder41(&At13[index]);
+        PDupwindNthAnti2At13 = PDupwindNthAntifdOrder42(&At13[index]);
+        PDupwindNthSymm2At13 = PDupwindNthSymmfdOrder42(&At13[index]);
+        PDupwindNthAnti3At13 = PDupwindNthAntifdOrder43(&At13[index]);
+        PDupwindNthSymm3At13 = PDupwindNthSymmfdOrder43(&At13[index]);
+        PDupwindNthAnti1At22 = PDupwindNthAntifdOrder41(&At22[index]);
+        PDupwindNthSymm1At22 = PDupwindNthSymmfdOrder41(&At22[index]);
+        PDupwindNthAnti2At22 = PDupwindNthAntifdOrder42(&At22[index]);
+        PDupwindNthSymm2At22 = PDupwindNthSymmfdOrder42(&At22[index]);
+        PDupwindNthAnti3At22 = PDupwindNthAntifdOrder43(&At22[index]);
+        PDupwindNthSymm3At22 = PDupwindNthSymmfdOrder43(&At22[index]);
+        PDupwindNthAnti1At23 = PDupwindNthAntifdOrder41(&At23[index]);
+        PDupwindNthSymm1At23 = PDupwindNthSymmfdOrder41(&At23[index]);
+        PDupwindNthAnti2At23 = PDupwindNthAntifdOrder42(&At23[index]);
+        PDupwindNthSymm2At23 = PDupwindNthSymmfdOrder42(&At23[index]);
+        PDupwindNthAnti3At23 = PDupwindNthAntifdOrder43(&At23[index]);
+        PDupwindNthSymm3At23 = PDupwindNthSymmfdOrder43(&At23[index]);
+        PDupwindNthAnti1At33 = PDupwindNthAntifdOrder41(&At33[index]);
+        PDupwindNthSymm1At33 = PDupwindNthSymmfdOrder41(&At33[index]);
+        PDupwindNthAnti2At33 = PDupwindNthAntifdOrder42(&At33[index]);
+        PDupwindNthSymm2At33 = PDupwindNthSymmfdOrder42(&At33[index]);
+        PDupwindNthAnti3At33 = PDupwindNthAntifdOrder43(&At33[index]);
+        PDupwindNthSymm3At33 = PDupwindNthSymmfdOrder43(&At33[index]);
+        PDupwindNthAnti1B1 = PDupwindNthAntifdOrder41(&B1[index]);
+        PDupwindNthSymm1B1 = PDupwindNthSymmfdOrder41(&B1[index]);
+        PDupwindNthAnti2B1 = PDupwindNthAntifdOrder42(&B1[index]);
+        PDupwindNthSymm2B1 = PDupwindNthSymmfdOrder42(&B1[index]);
+        PDupwindNthAnti3B1 = PDupwindNthAntifdOrder43(&B1[index]);
+        PDupwindNthSymm3B1 = PDupwindNthSymmfdOrder43(&B1[index]);
+        PDupwindNthAnti1B2 = PDupwindNthAntifdOrder41(&B2[index]);
+        PDupwindNthSymm1B2 = PDupwindNthSymmfdOrder41(&B2[index]);
+        PDupwindNthAnti2B2 = PDupwindNthAntifdOrder42(&B2[index]);
+        PDupwindNthSymm2B2 = PDupwindNthSymmfdOrder42(&B2[index]);
+        PDupwindNthAnti3B2 = PDupwindNthAntifdOrder43(&B2[index]);
+        PDupwindNthSymm3B2 = PDupwindNthSymmfdOrder43(&B2[index]);
+        PDupwindNthAnti1B3 = PDupwindNthAntifdOrder41(&B3[index]);
+        PDupwindNthSymm1B3 = PDupwindNthSymmfdOrder41(&B3[index]);
+        PDupwindNthAnti2B3 = PDupwindNthAntifdOrder42(&B3[index]);
+        PDupwindNthSymm2B3 = PDupwindNthSymmfdOrder42(&B3[index]);
+        PDupwindNthAnti3B3 = PDupwindNthAntifdOrder43(&B3[index]);
+        PDupwindNthSymm3B3 = PDupwindNthSymmfdOrder43(&B3[index]);
+        PDupwindNthAnti1beta1 = PDupwindNthAntifdOrder41(&beta1[index]);
+        PDupwindNthSymm1beta1 = PDupwindNthSymmfdOrder41(&beta1[index]);
+        PDupwindNthAnti2beta1 = PDupwindNthAntifdOrder42(&beta1[index]);
+        PDupwindNthSymm2beta1 = PDupwindNthSymmfdOrder42(&beta1[index]);
+        PDupwindNthAnti3beta1 = PDupwindNthAntifdOrder43(&beta1[index]);
+        PDupwindNthSymm3beta1 = PDupwindNthSymmfdOrder43(&beta1[index]);
+        PDupwindNthAnti1beta2 = PDupwindNthAntifdOrder41(&beta2[index]);
+        PDupwindNthSymm1beta2 = PDupwindNthSymmfdOrder41(&beta2[index]);
+        PDupwindNthAnti2beta2 = PDupwindNthAntifdOrder42(&beta2[index]);
+        PDupwindNthSymm2beta2 = PDupwindNthSymmfdOrder42(&beta2[index]);
+        PDupwindNthAnti3beta2 = PDupwindNthAntifdOrder43(&beta2[index]);
+        PDupwindNthSymm3beta2 = PDupwindNthSymmfdOrder43(&beta2[index]);
+        PDupwindNthAnti1beta3 = PDupwindNthAntifdOrder41(&beta3[index]);
+        PDupwindNthSymm1beta3 = PDupwindNthSymmfdOrder41(&beta3[index]);
+        PDupwindNthAnti2beta3 = PDupwindNthAntifdOrder42(&beta3[index]);
+        PDupwindNthSymm2beta3 = PDupwindNthSymmfdOrder42(&beta3[index]);
+        PDupwindNthAnti3beta3 = PDupwindNthAntifdOrder43(&beta3[index]);
+        PDupwindNthSymm3beta3 = PDupwindNthSymmfdOrder43(&beta3[index]);
+        PDupwindNthAnti1gt11 = PDupwindNthAntifdOrder41(&gt11[index]);
+        PDupwindNthSymm1gt11 = PDupwindNthSymmfdOrder41(&gt11[index]);
+        PDupwindNthAnti2gt11 = PDupwindNthAntifdOrder42(&gt11[index]);
+        PDupwindNthSymm2gt11 = PDupwindNthSymmfdOrder42(&gt11[index]);
+        PDupwindNthAnti3gt11 = PDupwindNthAntifdOrder43(&gt11[index]);
+        PDupwindNthSymm3gt11 = PDupwindNthSymmfdOrder43(&gt11[index]);
+        PDupwindNthAnti1gt12 = PDupwindNthAntifdOrder41(&gt12[index]);
+        PDupwindNthSymm1gt12 = PDupwindNthSymmfdOrder41(&gt12[index]);
+        PDupwindNthAnti2gt12 = PDupwindNthAntifdOrder42(&gt12[index]);
+        PDupwindNthSymm2gt12 = PDupwindNthSymmfdOrder42(&gt12[index]);
+        PDupwindNthAnti3gt12 = PDupwindNthAntifdOrder43(&gt12[index]);
+        PDupwindNthSymm3gt12 = PDupwindNthSymmfdOrder43(&gt12[index]);
+        PDupwindNthAnti1gt13 = PDupwindNthAntifdOrder41(&gt13[index]);
+        PDupwindNthSymm1gt13 = PDupwindNthSymmfdOrder41(&gt13[index]);
+        PDupwindNthAnti2gt13 = PDupwindNthAntifdOrder42(&gt13[index]);
+        PDupwindNthSymm2gt13 = PDupwindNthSymmfdOrder42(&gt13[index]);
+        PDupwindNthAnti3gt13 = PDupwindNthAntifdOrder43(&gt13[index]);
+        PDupwindNthSymm3gt13 = PDupwindNthSymmfdOrder43(&gt13[index]);
+        PDupwindNthAnti1gt22 = PDupwindNthAntifdOrder41(&gt22[index]);
+        PDupwindNthSymm1gt22 = PDupwindNthSymmfdOrder41(&gt22[index]);
+        PDupwindNthAnti2gt22 = PDupwindNthAntifdOrder42(&gt22[index]);
+        PDupwindNthSymm2gt22 = PDupwindNthSymmfdOrder42(&gt22[index]);
+        PDupwindNthAnti3gt22 = PDupwindNthAntifdOrder43(&gt22[index]);
+        PDupwindNthSymm3gt22 = PDupwindNthSymmfdOrder43(&gt22[index]);
+        PDupwindNthAnti1gt23 = PDupwindNthAntifdOrder41(&gt23[index]);
+        PDupwindNthSymm1gt23 = PDupwindNthSymmfdOrder41(&gt23[index]);
+        PDupwindNthAnti2gt23 = PDupwindNthAntifdOrder42(&gt23[index]);
+        PDupwindNthSymm2gt23 = PDupwindNthSymmfdOrder42(&gt23[index]);
+        PDupwindNthAnti3gt23 = PDupwindNthAntifdOrder43(&gt23[index]);
+        PDupwindNthSymm3gt23 = PDupwindNthSymmfdOrder43(&gt23[index]);
+        PDupwindNthAnti1gt33 = PDupwindNthAntifdOrder41(&gt33[index]);
+        PDupwindNthSymm1gt33 = PDupwindNthSymmfdOrder41(&gt33[index]);
+        PDupwindNthAnti2gt33 = PDupwindNthAntifdOrder42(&gt33[index]);
+        PDupwindNthSymm2gt33 = PDupwindNthSymmfdOrder42(&gt33[index]);
+        PDupwindNthAnti3gt33 = PDupwindNthAntifdOrder43(&gt33[index]);
+        PDupwindNthSymm3gt33 = PDupwindNthSymmfdOrder43(&gt33[index]);
+        PDupwindNthAnti1phi = PDupwindNthAntifdOrder41(&phi[index]);
+        PDupwindNthSymm1phi = PDupwindNthSymmfdOrder41(&phi[index]);
+        PDupwindNthAnti2phi = PDupwindNthAntifdOrder42(&phi[index]);
+        PDupwindNthSymm2phi = PDupwindNthSymmfdOrder42(&phi[index]);
+        PDupwindNthAnti3phi = PDupwindNthAntifdOrder43(&phi[index]);
+        PDupwindNthSymm3phi = PDupwindNthSymmfdOrder43(&phi[index]);
+        PDupwindNthAnti1trK = PDupwindNthAntifdOrder41(&trK[index]);
+        PDupwindNthSymm1trK = PDupwindNthSymmfdOrder41(&trK[index]);
+        PDupwindNthAnti2trK = PDupwindNthAntifdOrder42(&trK[index]);
+        PDupwindNthSymm2trK = PDupwindNthSymmfdOrder42(&trK[index]);
+        PDupwindNthAnti3trK = PDupwindNthAntifdOrder43(&trK[index]);
+        PDupwindNthSymm3trK = PDupwindNthSymmfdOrder43(&trK[index]);
+        PDupwindNthAnti1Xt1 = PDupwindNthAntifdOrder41(&Xt1[index]);
+        PDupwindNthSymm1Xt1 = PDupwindNthSymmfdOrder41(&Xt1[index]);
+        PDupwindNthAnti2Xt1 = PDupwindNthAntifdOrder42(&Xt1[index]);
+        PDupwindNthSymm2Xt1 = PDupwindNthSymmfdOrder42(&Xt1[index]);
+        PDupwindNthAnti3Xt1 = PDupwindNthAntifdOrder43(&Xt1[index]);
+        PDupwindNthSymm3Xt1 = PDupwindNthSymmfdOrder43(&Xt1[index]);
+        PDupwindNthAnti1Xt2 = PDupwindNthAntifdOrder41(&Xt2[index]);
+        PDupwindNthSymm1Xt2 = PDupwindNthSymmfdOrder41(&Xt2[index]);
+        PDupwindNthAnti2Xt2 = PDupwindNthAntifdOrder42(&Xt2[index]);
+        PDupwindNthSymm2Xt2 = PDupwindNthSymmfdOrder42(&Xt2[index]);
+        PDupwindNthAnti3Xt2 = PDupwindNthAntifdOrder43(&Xt2[index]);
+        PDupwindNthSymm3Xt2 = PDupwindNthSymmfdOrder43(&Xt2[index]);
+        PDupwindNthAnti1Xt3 = PDupwindNthAntifdOrder41(&Xt3[index]);
+        PDupwindNthSymm1Xt3 = PDupwindNthSymmfdOrder41(&Xt3[index]);
+        PDupwindNthAnti2Xt3 = PDupwindNthAntifdOrder42(&Xt3[index]);
+        PDupwindNthSymm2Xt3 = PDupwindNthSymmfdOrder42(&Xt3[index]);
+        PDupwindNthAnti3Xt3 = PDupwindNthAntifdOrder43(&Xt3[index]);
+        PDupwindNthSymm3Xt3 = PDupwindNthSymmfdOrder43(&Xt3[index]);
+        break;
+      
+      case 6:
+        PDupwindNthAnti1A = PDupwindNthAntifdOrder61(&A[index]);
+        PDupwindNthSymm1A = PDupwindNthSymmfdOrder61(&A[index]);
+        PDupwindNthAnti2A = PDupwindNthAntifdOrder62(&A[index]);
+        PDupwindNthSymm2A = PDupwindNthSymmfdOrder62(&A[index]);
+        PDupwindNthAnti3A = PDupwindNthAntifdOrder63(&A[index]);
+        PDupwindNthSymm3A = PDupwindNthSymmfdOrder63(&A[index]);
+        PDupwindNthAnti1alpha = PDupwindNthAntifdOrder61(&alpha[index]);
+        PDupwindNthSymm1alpha = PDupwindNthSymmfdOrder61(&alpha[index]);
+        PDupwindNthAnti2alpha = PDupwindNthAntifdOrder62(&alpha[index]);
+        PDupwindNthSymm2alpha = PDupwindNthSymmfdOrder62(&alpha[index]);
+        PDupwindNthAnti3alpha = PDupwindNthAntifdOrder63(&alpha[index]);
+        PDupwindNthSymm3alpha = PDupwindNthSymmfdOrder63(&alpha[index]);
+        PDupwindNthAnti1At11 = PDupwindNthAntifdOrder61(&At11[index]);
+        PDupwindNthSymm1At11 = PDupwindNthSymmfdOrder61(&At11[index]);
+        PDupwindNthAnti2At11 = PDupwindNthAntifdOrder62(&At11[index]);
+        PDupwindNthSymm2At11 = PDupwindNthSymmfdOrder62(&At11[index]);
+        PDupwindNthAnti3At11 = PDupwindNthAntifdOrder63(&At11[index]);
+        PDupwindNthSymm3At11 = PDupwindNthSymmfdOrder63(&At11[index]);
+        PDupwindNthAnti1At12 = PDupwindNthAntifdOrder61(&At12[index]);
+        PDupwindNthSymm1At12 = PDupwindNthSymmfdOrder61(&At12[index]);
+        PDupwindNthAnti2At12 = PDupwindNthAntifdOrder62(&At12[index]);
+        PDupwindNthSymm2At12 = PDupwindNthSymmfdOrder62(&At12[index]);
+        PDupwindNthAnti3At12 = PDupwindNthAntifdOrder63(&At12[index]);
+        PDupwindNthSymm3At12 = PDupwindNthSymmfdOrder63(&At12[index]);
+        PDupwindNthAnti1At13 = PDupwindNthAntifdOrder61(&At13[index]);
+        PDupwindNthSymm1At13 = PDupwindNthSymmfdOrder61(&At13[index]);
+        PDupwindNthAnti2At13 = PDupwindNthAntifdOrder62(&At13[index]);
+        PDupwindNthSymm2At13 = PDupwindNthSymmfdOrder62(&At13[index]);
+        PDupwindNthAnti3At13 = PDupwindNthAntifdOrder63(&At13[index]);
+        PDupwindNthSymm3At13 = PDupwindNthSymmfdOrder63(&At13[index]);
+        PDupwindNthAnti1At22 = PDupwindNthAntifdOrder61(&At22[index]);
+        PDupwindNthSymm1At22 = PDupwindNthSymmfdOrder61(&At22[index]);
+        PDupwindNthAnti2At22 = PDupwindNthAntifdOrder62(&At22[index]);
+        PDupwindNthSymm2At22 = PDupwindNthSymmfdOrder62(&At22[index]);
+        PDupwindNthAnti3At22 = PDupwindNthAntifdOrder63(&At22[index]);
+        PDupwindNthSymm3At22 = PDupwindNthSymmfdOrder63(&At22[index]);
+        PDupwindNthAnti1At23 = PDupwindNthAntifdOrder61(&At23[index]);
+        PDupwindNthSymm1At23 = PDupwindNthSymmfdOrder61(&At23[index]);
+        PDupwindNthAnti2At23 = PDupwindNthAntifdOrder62(&At23[index]);
+        PDupwindNthSymm2At23 = PDupwindNthSymmfdOrder62(&At23[index]);
+        PDupwindNthAnti3At23 = PDupwindNthAntifdOrder63(&At23[index]);
+        PDupwindNthSymm3At23 = PDupwindNthSymmfdOrder63(&At23[index]);
+        PDupwindNthAnti1At33 = PDupwindNthAntifdOrder61(&At33[index]);
+        PDupwindNthSymm1At33 = PDupwindNthSymmfdOrder61(&At33[index]);
+        PDupwindNthAnti2At33 = PDupwindNthAntifdOrder62(&At33[index]);
+        PDupwindNthSymm2At33 = PDupwindNthSymmfdOrder62(&At33[index]);
+        PDupwindNthAnti3At33 = PDupwindNthAntifdOrder63(&At33[index]);
+        PDupwindNthSymm3At33 = PDupwindNthSymmfdOrder63(&At33[index]);
+        PDupwindNthAnti1B1 = PDupwindNthAntifdOrder61(&B1[index]);
+        PDupwindNthSymm1B1 = PDupwindNthSymmfdOrder61(&B1[index]);
+        PDupwindNthAnti2B1 = PDupwindNthAntifdOrder62(&B1[index]);
+        PDupwindNthSymm2B1 = PDupwindNthSymmfdOrder62(&B1[index]);
+        PDupwindNthAnti3B1 = PDupwindNthAntifdOrder63(&B1[index]);
+        PDupwindNthSymm3B1 = PDupwindNthSymmfdOrder63(&B1[index]);
+        PDupwindNthAnti1B2 = PDupwindNthAntifdOrder61(&B2[index]);
+        PDupwindNthSymm1B2 = PDupwindNthSymmfdOrder61(&B2[index]);
+        PDupwindNthAnti2B2 = PDupwindNthAntifdOrder62(&B2[index]);
+        PDupwindNthSymm2B2 = PDupwindNthSymmfdOrder62(&B2[index]);
+        PDupwindNthAnti3B2 = PDupwindNthAntifdOrder63(&B2[index]);
+        PDupwindNthSymm3B2 = PDupwindNthSymmfdOrder63(&B2[index]);
+        PDupwindNthAnti1B3 = PDupwindNthAntifdOrder61(&B3[index]);
+        PDupwindNthSymm1B3 = PDupwindNthSymmfdOrder61(&B3[index]);
+        PDupwindNthAnti2B3 = PDupwindNthAntifdOrder62(&B3[index]);
+        PDupwindNthSymm2B3 = PDupwindNthSymmfdOrder62(&B3[index]);
+        PDupwindNthAnti3B3 = PDupwindNthAntifdOrder63(&B3[index]);
+        PDupwindNthSymm3B3 = PDupwindNthSymmfdOrder63(&B3[index]);
+        PDupwindNthAnti1beta1 = PDupwindNthAntifdOrder61(&beta1[index]);
+        PDupwindNthSymm1beta1 = PDupwindNthSymmfdOrder61(&beta1[index]);
+        PDupwindNthAnti2beta1 = PDupwindNthAntifdOrder62(&beta1[index]);
+        PDupwindNthSymm2beta1 = PDupwindNthSymmfdOrder62(&beta1[index]);
+        PDupwindNthAnti3beta1 = PDupwindNthAntifdOrder63(&beta1[index]);
+        PDupwindNthSymm3beta1 = PDupwindNthSymmfdOrder63(&beta1[index]);
+        PDupwindNthAnti1beta2 = PDupwindNthAntifdOrder61(&beta2[index]);
+        PDupwindNthSymm1beta2 = PDupwindNthSymmfdOrder61(&beta2[index]);
+        PDupwindNthAnti2beta2 = PDupwindNthAntifdOrder62(&beta2[index]);
+        PDupwindNthSymm2beta2 = PDupwindNthSymmfdOrder62(&beta2[index]);
+        PDupwindNthAnti3beta2 = PDupwindNthAntifdOrder63(&beta2[index]);
+        PDupwindNthSymm3beta2 = PDupwindNthSymmfdOrder63(&beta2[index]);
+        PDupwindNthAnti1beta3 = PDupwindNthAntifdOrder61(&beta3[index]);
+        PDupwindNthSymm1beta3 = PDupwindNthSymmfdOrder61(&beta3[index]);
+        PDupwindNthAnti2beta3 = PDupwindNthAntifdOrder62(&beta3[index]);
+        PDupwindNthSymm2beta3 = PDupwindNthSymmfdOrder62(&beta3[index]);
+        PDupwindNthAnti3beta3 = PDupwindNthAntifdOrder63(&beta3[index]);
+        PDupwindNthSymm3beta3 = PDupwindNthSymmfdOrder63(&beta3[index]);
+        PDupwindNthAnti1gt11 = PDupwindNthAntifdOrder61(&gt11[index]);
+        PDupwindNthSymm1gt11 = PDupwindNthSymmfdOrder61(&gt11[index]);
+        PDupwindNthAnti2gt11 = PDupwindNthAntifdOrder62(&gt11[index]);
+        PDupwindNthSymm2gt11 = PDupwindNthSymmfdOrder62(&gt11[index]);
+        PDupwindNthAnti3gt11 = PDupwindNthAntifdOrder63(&gt11[index]);
+        PDupwindNthSymm3gt11 = PDupwindNthSymmfdOrder63(&gt11[index]);
+        PDupwindNthAnti1gt12 = PDupwindNthAntifdOrder61(&gt12[index]);
+        PDupwindNthSymm1gt12 = PDupwindNthSymmfdOrder61(&gt12[index]);
+        PDupwindNthAnti2gt12 = PDupwindNthAntifdOrder62(&gt12[index]);
+        PDupwindNthSymm2gt12 = PDupwindNthSymmfdOrder62(&gt12[index]);
+        PDupwindNthAnti3gt12 = PDupwindNthAntifdOrder63(&gt12[index]);
+        PDupwindNthSymm3gt12 = PDupwindNthSymmfdOrder63(&gt12[index]);
+        PDupwindNthAnti1gt13 = PDupwindNthAntifdOrder61(&gt13[index]);
+        PDupwindNthSymm1gt13 = PDupwindNthSymmfdOrder61(&gt13[index]);
+        PDupwindNthAnti2gt13 = PDupwindNthAntifdOrder62(&gt13[index]);
+        PDupwindNthSymm2gt13 = PDupwindNthSymmfdOrder62(&gt13[index]);
+        PDupwindNthAnti3gt13 = PDupwindNthAntifdOrder63(&gt13[index]);
+        PDupwindNthSymm3gt13 = PDupwindNthSymmfdOrder63(&gt13[index]);
+        PDupwindNthAnti1gt22 = PDupwindNthAntifdOrder61(&gt22[index]);
+        PDupwindNthSymm1gt22 = PDupwindNthSymmfdOrder61(&gt22[index]);
+        PDupwindNthAnti2gt22 = PDupwindNthAntifdOrder62(&gt22[index]);
+        PDupwindNthSymm2gt22 = PDupwindNthSymmfdOrder62(&gt22[index]);
+        PDupwindNthAnti3gt22 = PDupwindNthAntifdOrder63(&gt22[index]);
+        PDupwindNthSymm3gt22 = PDupwindNthSymmfdOrder63(&gt22[index]);
+        PDupwindNthAnti1gt23 = PDupwindNthAntifdOrder61(&gt23[index]);
+        PDupwindNthSymm1gt23 = PDupwindNthSymmfdOrder61(&gt23[index]);
+        PDupwindNthAnti2gt23 = PDupwindNthAntifdOrder62(&gt23[index]);
+        PDupwindNthSymm2gt23 = PDupwindNthSymmfdOrder62(&gt23[index]);
+        PDupwindNthAnti3gt23 = PDupwindNthAntifdOrder63(&gt23[index]);
+        PDupwindNthSymm3gt23 = PDupwindNthSymmfdOrder63(&gt23[index]);
+        PDupwindNthAnti1gt33 = PDupwindNthAntifdOrder61(&gt33[index]);
+        PDupwindNthSymm1gt33 = PDupwindNthSymmfdOrder61(&gt33[index]);
+        PDupwindNthAnti2gt33 = PDupwindNthAntifdOrder62(&gt33[index]);
+        PDupwindNthSymm2gt33 = PDupwindNthSymmfdOrder62(&gt33[index]);
+        PDupwindNthAnti3gt33 = PDupwindNthAntifdOrder63(&gt33[index]);
+        PDupwindNthSymm3gt33 = PDupwindNthSymmfdOrder63(&gt33[index]);
+        PDupwindNthAnti1phi = PDupwindNthAntifdOrder61(&phi[index]);
+        PDupwindNthSymm1phi = PDupwindNthSymmfdOrder61(&phi[index]);
+        PDupwindNthAnti2phi = PDupwindNthAntifdOrder62(&phi[index]);
+        PDupwindNthSymm2phi = PDupwindNthSymmfdOrder62(&phi[index]);
+        PDupwindNthAnti3phi = PDupwindNthAntifdOrder63(&phi[index]);
+        PDupwindNthSymm3phi = PDupwindNthSymmfdOrder63(&phi[index]);
+        PDupwindNthAnti1trK = PDupwindNthAntifdOrder61(&trK[index]);
+        PDupwindNthSymm1trK = PDupwindNthSymmfdOrder61(&trK[index]);
+        PDupwindNthAnti2trK = PDupwindNthAntifdOrder62(&trK[index]);
+        PDupwindNthSymm2trK = PDupwindNthSymmfdOrder62(&trK[index]);
+        PDupwindNthAnti3trK = PDupwindNthAntifdOrder63(&trK[index]);
+        PDupwindNthSymm3trK = PDupwindNthSymmfdOrder63(&trK[index]);
+        PDupwindNthAnti1Xt1 = PDupwindNthAntifdOrder61(&Xt1[index]);
+        PDupwindNthSymm1Xt1 = PDupwindNthSymmfdOrder61(&Xt1[index]);
+        PDupwindNthAnti2Xt1 = PDupwindNthAntifdOrder62(&Xt1[index]);
+        PDupwindNthSymm2Xt1 = PDupwindNthSymmfdOrder62(&Xt1[index]);
+        PDupwindNthAnti3Xt1 = PDupwindNthAntifdOrder63(&Xt1[index]);
+        PDupwindNthSymm3Xt1 = PDupwindNthSymmfdOrder63(&Xt1[index]);
+        PDupwindNthAnti1Xt2 = PDupwindNthAntifdOrder61(&Xt2[index]);
+        PDupwindNthSymm1Xt2 = PDupwindNthSymmfdOrder61(&Xt2[index]);
+        PDupwindNthAnti2Xt2 = PDupwindNthAntifdOrder62(&Xt2[index]);
+        PDupwindNthSymm2Xt2 = PDupwindNthSymmfdOrder62(&Xt2[index]);
+        PDupwindNthAnti3Xt2 = PDupwindNthAntifdOrder63(&Xt2[index]);
+        PDupwindNthSymm3Xt2 = PDupwindNthSymmfdOrder63(&Xt2[index]);
+        PDupwindNthAnti1Xt3 = PDupwindNthAntifdOrder61(&Xt3[index]);
+        PDupwindNthSymm1Xt3 = PDupwindNthSymmfdOrder61(&Xt3[index]);
+        PDupwindNthAnti2Xt3 = PDupwindNthAntifdOrder62(&Xt3[index]);
+        PDupwindNthSymm2Xt3 = PDupwindNthSymmfdOrder62(&Xt3[index]);
+        PDupwindNthAnti3Xt3 = PDupwindNthAntifdOrder63(&Xt3[index]);
+        PDupwindNthSymm3Xt3 = PDupwindNthSymmfdOrder63(&Xt3[index]);
+        break;
+      
+      case 8:
+        PDupwindNthAnti1A = PDupwindNthAntifdOrder81(&A[index]);
+        PDupwindNthSymm1A = PDupwindNthSymmfdOrder81(&A[index]);
+        PDupwindNthAnti2A = PDupwindNthAntifdOrder82(&A[index]);
+        PDupwindNthSymm2A = PDupwindNthSymmfdOrder82(&A[index]);
+        PDupwindNthAnti3A = PDupwindNthAntifdOrder83(&A[index]);
+        PDupwindNthSymm3A = PDupwindNthSymmfdOrder83(&A[index]);
+        PDupwindNthAnti1alpha = PDupwindNthAntifdOrder81(&alpha[index]);
+        PDupwindNthSymm1alpha = PDupwindNthSymmfdOrder81(&alpha[index]);
+        PDupwindNthAnti2alpha = PDupwindNthAntifdOrder82(&alpha[index]);
+        PDupwindNthSymm2alpha = PDupwindNthSymmfdOrder82(&alpha[index]);
+        PDupwindNthAnti3alpha = PDupwindNthAntifdOrder83(&alpha[index]);
+        PDupwindNthSymm3alpha = PDupwindNthSymmfdOrder83(&alpha[index]);
+        PDupwindNthAnti1At11 = PDupwindNthAntifdOrder81(&At11[index]);
+        PDupwindNthSymm1At11 = PDupwindNthSymmfdOrder81(&At11[index]);
+        PDupwindNthAnti2At11 = PDupwindNthAntifdOrder82(&At11[index]);
+        PDupwindNthSymm2At11 = PDupwindNthSymmfdOrder82(&At11[index]);
+        PDupwindNthAnti3At11 = PDupwindNthAntifdOrder83(&At11[index]);
+        PDupwindNthSymm3At11 = PDupwindNthSymmfdOrder83(&At11[index]);
+        PDupwindNthAnti1At12 = PDupwindNthAntifdOrder81(&At12[index]);
+        PDupwindNthSymm1At12 = PDupwindNthSymmfdOrder81(&At12[index]);
+        PDupwindNthAnti2At12 = PDupwindNthAntifdOrder82(&At12[index]);
+        PDupwindNthSymm2At12 = PDupwindNthSymmfdOrder82(&At12[index]);
+        PDupwindNthAnti3At12 = PDupwindNthAntifdOrder83(&At12[index]);
+        PDupwindNthSymm3At12 = PDupwindNthSymmfdOrder83(&At12[index]);
+        PDupwindNthAnti1At13 = PDupwindNthAntifdOrder81(&At13[index]);
+        PDupwindNthSymm1At13 = PDupwindNthSymmfdOrder81(&At13[index]);
+        PDupwindNthAnti2At13 = PDupwindNthAntifdOrder82(&At13[index]);
+        PDupwindNthSymm2At13 = PDupwindNthSymmfdOrder82(&At13[index]);
+        PDupwindNthAnti3At13 = PDupwindNthAntifdOrder83(&At13[index]);
+        PDupwindNthSymm3At13 = PDupwindNthSymmfdOrder83(&At13[index]);
+        PDupwindNthAnti1At22 = PDupwindNthAntifdOrder81(&At22[index]);
+        PDupwindNthSymm1At22 = PDupwindNthSymmfdOrder81(&At22[index]);
+        PDupwindNthAnti2At22 = PDupwindNthAntifdOrder82(&At22[index]);
+        PDupwindNthSymm2At22 = PDupwindNthSymmfdOrder82(&At22[index]);
+        PDupwindNthAnti3At22 = PDupwindNthAntifdOrder83(&At22[index]);
+        PDupwindNthSymm3At22 = PDupwindNthSymmfdOrder83(&At22[index]);
+        PDupwindNthAnti1At23 = PDupwindNthAntifdOrder81(&At23[index]);
+        PDupwindNthSymm1At23 = PDupwindNthSymmfdOrder81(&At23[index]);
+        PDupwindNthAnti2At23 = PDupwindNthAntifdOrder82(&At23[index]);
+        PDupwindNthSymm2At23 = PDupwindNthSymmfdOrder82(&At23[index]);
+        PDupwindNthAnti3At23 = PDupwindNthAntifdOrder83(&At23[index]);
+        PDupwindNthSymm3At23 = PDupwindNthSymmfdOrder83(&At23[index]);
+        PDupwindNthAnti1At33 = PDupwindNthAntifdOrder81(&At33[index]);
+        PDupwindNthSymm1At33 = PDupwindNthSymmfdOrder81(&At33[index]);
+        PDupwindNthAnti2At33 = PDupwindNthAntifdOrder82(&At33[index]);
+        PDupwindNthSymm2At33 = PDupwindNthSymmfdOrder82(&At33[index]);
+        PDupwindNthAnti3At33 = PDupwindNthAntifdOrder83(&At33[index]);
+        PDupwindNthSymm3At33 = PDupwindNthSymmfdOrder83(&At33[index]);
+        PDupwindNthAnti1B1 = PDupwindNthAntifdOrder81(&B1[index]);
+        PDupwindNthSymm1B1 = PDupwindNthSymmfdOrder81(&B1[index]);
+        PDupwindNthAnti2B1 = PDupwindNthAntifdOrder82(&B1[index]);
+        PDupwindNthSymm2B1 = PDupwindNthSymmfdOrder82(&B1[index]);
+        PDupwindNthAnti3B1 = PDupwindNthAntifdOrder83(&B1[index]);
+        PDupwindNthSymm3B1 = PDupwindNthSymmfdOrder83(&B1[index]);
+        PDupwindNthAnti1B2 = PDupwindNthAntifdOrder81(&B2[index]);
+        PDupwindNthSymm1B2 = PDupwindNthSymmfdOrder81(&B2[index]);
+        PDupwindNthAnti2B2 = PDupwindNthAntifdOrder82(&B2[index]);
+        PDupwindNthSymm2B2 = PDupwindNthSymmfdOrder82(&B2[index]);
+        PDupwindNthAnti3B2 = PDupwindNthAntifdOrder83(&B2[index]);
+        PDupwindNthSymm3B2 = PDupwindNthSymmfdOrder83(&B2[index]);
+        PDupwindNthAnti1B3 = PDupwindNthAntifdOrder81(&B3[index]);
+        PDupwindNthSymm1B3 = PDupwindNthSymmfdOrder81(&B3[index]);
+        PDupwindNthAnti2B3 = PDupwindNthAntifdOrder82(&B3[index]);
+        PDupwindNthSymm2B3 = PDupwindNthSymmfdOrder82(&B3[index]);
+        PDupwindNthAnti3B3 = PDupwindNthAntifdOrder83(&B3[index]);
+        PDupwindNthSymm3B3 = PDupwindNthSymmfdOrder83(&B3[index]);
+        PDupwindNthAnti1beta1 = PDupwindNthAntifdOrder81(&beta1[index]);
+        PDupwindNthSymm1beta1 = PDupwindNthSymmfdOrder81(&beta1[index]);
+        PDupwindNthAnti2beta1 = PDupwindNthAntifdOrder82(&beta1[index]);
+        PDupwindNthSymm2beta1 = PDupwindNthSymmfdOrder82(&beta1[index]);
+        PDupwindNthAnti3beta1 = PDupwindNthAntifdOrder83(&beta1[index]);
+        PDupwindNthSymm3beta1 = PDupwindNthSymmfdOrder83(&beta1[index]);
+        PDupwindNthAnti1beta2 = PDupwindNthAntifdOrder81(&beta2[index]);
+        PDupwindNthSymm1beta2 = PDupwindNthSymmfdOrder81(&beta2[index]);
+        PDupwindNthAnti2beta2 = PDupwindNthAntifdOrder82(&beta2[index]);
+        PDupwindNthSymm2beta2 = PDupwindNthSymmfdOrder82(&beta2[index]);
+        PDupwindNthAnti3beta2 = PDupwindNthAntifdOrder83(&beta2[index]);
+        PDupwindNthSymm3beta2 = PDupwindNthSymmfdOrder83(&beta2[index]);
+        PDupwindNthAnti1beta3 = PDupwindNthAntifdOrder81(&beta3[index]);
+        PDupwindNthSymm1beta3 = PDupwindNthSymmfdOrder81(&beta3[index]);
+        PDupwindNthAnti2beta3 = PDupwindNthAntifdOrder82(&beta3[index]);
+        PDupwindNthSymm2beta3 = PDupwindNthSymmfdOrder82(&beta3[index]);
+        PDupwindNthAnti3beta3 = PDupwindNthAntifdOrder83(&beta3[index]);
+        PDupwindNthSymm3beta3 = PDupwindNthSymmfdOrder83(&beta3[index]);
+        PDupwindNthAnti1gt11 = PDupwindNthAntifdOrder81(&gt11[index]);
+        PDupwindNthSymm1gt11 = PDupwindNthSymmfdOrder81(&gt11[index]);
+        PDupwindNthAnti2gt11 = PDupwindNthAntifdOrder82(&gt11[index]);
+        PDupwindNthSymm2gt11 = PDupwindNthSymmfdOrder82(&gt11[index]);
+        PDupwindNthAnti3gt11 = PDupwindNthAntifdOrder83(&gt11[index]);
+        PDupwindNthSymm3gt11 = PDupwindNthSymmfdOrder83(&gt11[index]);
+        PDupwindNthAnti1gt12 = PDupwindNthAntifdOrder81(&gt12[index]);
+        PDupwindNthSymm1gt12 = PDupwindNthSymmfdOrder81(&gt12[index]);
+        PDupwindNthAnti2gt12 = PDupwindNthAntifdOrder82(&gt12[index]);
+        PDupwindNthSymm2gt12 = PDupwindNthSymmfdOrder82(&gt12[index]);
+        PDupwindNthAnti3gt12 = PDupwindNthAntifdOrder83(&gt12[index]);
+        PDupwindNthSymm3gt12 = PDupwindNthSymmfdOrder83(&gt12[index]);
+        PDupwindNthAnti1gt13 = PDupwindNthAntifdOrder81(&gt13[index]);
+        PDupwindNthSymm1gt13 = PDupwindNthSymmfdOrder81(&gt13[index]);
+        PDupwindNthAnti2gt13 = PDupwindNthAntifdOrder82(&gt13[index]);
+        PDupwindNthSymm2gt13 = PDupwindNthSymmfdOrder82(&gt13[index]);
+        PDupwindNthAnti3gt13 = PDupwindNthAntifdOrder83(&gt13[index]);
+        PDupwindNthSymm3gt13 = PDupwindNthSymmfdOrder83(&gt13[index]);
+        PDupwindNthAnti1gt22 = PDupwindNthAntifdOrder81(&gt22[index]);
+        PDupwindNthSymm1gt22 = PDupwindNthSymmfdOrder81(&gt22[index]);
+        PDupwindNthAnti2gt22 = PDupwindNthAntifdOrder82(&gt22[index]);
+        PDupwindNthSymm2gt22 = PDupwindNthSymmfdOrder82(&gt22[index]);
+        PDupwindNthAnti3gt22 = PDupwindNthAntifdOrder83(&gt22[index]);
+        PDupwindNthSymm3gt22 = PDupwindNthSymmfdOrder83(&gt22[index]);
+        PDupwindNthAnti1gt23 = PDupwindNthAntifdOrder81(&gt23[index]);
+        PDupwindNthSymm1gt23 = PDupwindNthSymmfdOrder81(&gt23[index]);
+        PDupwindNthAnti2gt23 = PDupwindNthAntifdOrder82(&gt23[index]);
+        PDupwindNthSymm2gt23 = PDupwindNthSymmfdOrder82(&gt23[index]);
+        PDupwindNthAnti3gt23 = PDupwindNthAntifdOrder83(&gt23[index]);
+        PDupwindNthSymm3gt23 = PDupwindNthSymmfdOrder83(&gt23[index]);
+        PDupwindNthAnti1gt33 = PDupwindNthAntifdOrder81(&gt33[index]);
+        PDupwindNthSymm1gt33 = PDupwindNthSymmfdOrder81(&gt33[index]);
+        PDupwindNthAnti2gt33 = PDupwindNthAntifdOrder82(&gt33[index]);
+        PDupwindNthSymm2gt33 = PDupwindNthSymmfdOrder82(&gt33[index]);
+        PDupwindNthAnti3gt33 = PDupwindNthAntifdOrder83(&gt33[index]);
+        PDupwindNthSymm3gt33 = PDupwindNthSymmfdOrder83(&gt33[index]);
+        PDupwindNthAnti1phi = PDupwindNthAntifdOrder81(&phi[index]);
+        PDupwindNthSymm1phi = PDupwindNthSymmfdOrder81(&phi[index]);
+        PDupwindNthAnti2phi = PDupwindNthAntifdOrder82(&phi[index]);
+        PDupwindNthSymm2phi = PDupwindNthSymmfdOrder82(&phi[index]);
+        PDupwindNthAnti3phi = PDupwindNthAntifdOrder83(&phi[index]);
+        PDupwindNthSymm3phi = PDupwindNthSymmfdOrder83(&phi[index]);
+        PDupwindNthAnti1trK = PDupwindNthAntifdOrder81(&trK[index]);
+        PDupwindNthSymm1trK = PDupwindNthSymmfdOrder81(&trK[index]);
+        PDupwindNthAnti2trK = PDupwindNthAntifdOrder82(&trK[index]);
+        PDupwindNthSymm2trK = PDupwindNthSymmfdOrder82(&trK[index]);
+        PDupwindNthAnti3trK = PDupwindNthAntifdOrder83(&trK[index]);
+        PDupwindNthSymm3trK = PDupwindNthSymmfdOrder83(&trK[index]);
+        PDupwindNthAnti1Xt1 = PDupwindNthAntifdOrder81(&Xt1[index]);
+        PDupwindNthSymm1Xt1 = PDupwindNthSymmfdOrder81(&Xt1[index]);
+        PDupwindNthAnti2Xt1 = PDupwindNthAntifdOrder82(&Xt1[index]);
+        PDupwindNthSymm2Xt1 = PDupwindNthSymmfdOrder82(&Xt1[index]);
+        PDupwindNthAnti3Xt1 = PDupwindNthAntifdOrder83(&Xt1[index]);
+        PDupwindNthSymm3Xt1 = PDupwindNthSymmfdOrder83(&Xt1[index]);
+        PDupwindNthAnti1Xt2 = PDupwindNthAntifdOrder81(&Xt2[index]);
+        PDupwindNthSymm1Xt2 = PDupwindNthSymmfdOrder81(&Xt2[index]);
+        PDupwindNthAnti2Xt2 = PDupwindNthAntifdOrder82(&Xt2[index]);
+        PDupwindNthSymm2Xt2 = PDupwindNthSymmfdOrder82(&Xt2[index]);
+        PDupwindNthAnti3Xt2 = PDupwindNthAntifdOrder83(&Xt2[index]);
+        PDupwindNthSymm3Xt2 = PDupwindNthSymmfdOrder83(&Xt2[index]);
+        PDupwindNthAnti1Xt3 = PDupwindNthAntifdOrder81(&Xt3[index]);
+        PDupwindNthSymm1Xt3 = PDupwindNthSymmfdOrder81(&Xt3[index]);
+        PDupwindNthAnti2Xt3 = PDupwindNthAntifdOrder82(&Xt3[index]);
+        PDupwindNthSymm2Xt3 = PDupwindNthSymmfdOrder82(&Xt3[index]);
+        PDupwindNthAnti3Xt3 = PDupwindNthAntifdOrder83(&Xt3[index]);
+        PDupwindNthSymm3Xt3 = PDupwindNthSymmfdOrder83(&Xt3[index]);
+        break;
+    }
     
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC JacPDupwindNthAnti1A;
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_Dissipation.cc b/ML_BSSN_MP/src/ML_BSSN_MP_Dissipation.cc
index fe4655c..263ce24 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_Dissipation.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_Dissipation.cc
@@ -79,7 +79,24 @@ static void ML_BSSN_MP_Dissipation_Body(cGH const * restrict const cctkGH, int c
   const char *groups[] = {"ML_BSSN_MP::ML_curv","ML_BSSN_MP::ML_curvrhs","ML_BSSN_MP::ML_dtlapse","ML_BSSN_MP::ML_dtlapserhs","ML_BSSN_MP::ML_dtshift","ML_BSSN_MP::ML_dtshiftrhs","ML_BSSN_MP::ML_Gamma","ML_BSSN_MP::ML_Gammarhs","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_lapserhs","ML_BSSN_MP::ML_log_confac","ML_BSSN_MP::ML_log_confacrhs","ML_BSSN_MP::ML_metric","ML_BSSN_MP::ML_metricrhs","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_shiftrhs","ML_BSSN_MP::ML_trace_curv","ML_BSSN_MP::ML_trace_curvrhs"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_Dissipation", 18, groups);
   
-  GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_Dissipation", 3, 3, 3);
+  switch(fdOrder)
+  {
+    case 2:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_Dissipation", 2, 2, 2);
+      break;
+    
+    case 4:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_Dissipation", 3, 3, 3);
+      break;
+    
+    case 6:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_Dissipation", 4, 4, 4);
+      break;
+    
+    case 8:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_Dissipation", 5, 5, 5);
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -107,24 +124,84 @@ static void ML_BSSN_MP_Dissipation_Body(cGH const * restrict const cctkGH, int c
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -252,81 +329,396 @@ static void ML_BSSN_MP_Dissipation_Body(cGH const * restrict const cctkGH, int c
     /* Include user supplied include files */
     
     /* Precompute derivatives */
-    CCTK_REAL_VEC const PDdissipationNth1A = PDdissipationNth1(&A[index]);
-    CCTK_REAL_VEC const PDdissipationNth2A = PDdissipationNth2(&A[index]);
-    CCTK_REAL_VEC const PDdissipationNth3A = PDdissipationNth3(&A[index]);
-    CCTK_REAL_VEC const PDdissipationNth1alpha = PDdissipationNth1(&alpha[index]);
-    CCTK_REAL_VEC const PDdissipationNth2alpha = PDdissipationNth2(&alpha[index]);
-    CCTK_REAL_VEC const PDdissipationNth3alpha = PDdissipationNth3(&alpha[index]);
-    CCTK_REAL_VEC const PDdissipationNth1At11 = PDdissipationNth1(&At11[index]);
-    CCTK_REAL_VEC const PDdissipationNth2At11 = PDdissipationNth2(&At11[index]);
-    CCTK_REAL_VEC const PDdissipationNth3At11 = PDdissipationNth3(&At11[index]);
-    CCTK_REAL_VEC const PDdissipationNth1At12 = PDdissipationNth1(&At12[index]);
-    CCTK_REAL_VEC const PDdissipationNth2At12 = PDdissipationNth2(&At12[index]);
-    CCTK_REAL_VEC const PDdissipationNth3At12 = PDdissipationNth3(&At12[index]);
-    CCTK_REAL_VEC const PDdissipationNth1At13 = PDdissipationNth1(&At13[index]);
-    CCTK_REAL_VEC const PDdissipationNth2At13 = PDdissipationNth2(&At13[index]);
-    CCTK_REAL_VEC const PDdissipationNth3At13 = PDdissipationNth3(&At13[index]);
-    CCTK_REAL_VEC const PDdissipationNth1At22 = PDdissipationNth1(&At22[index]);
-    CCTK_REAL_VEC const PDdissipationNth2At22 = PDdissipationNth2(&At22[index]);
-    CCTK_REAL_VEC const PDdissipationNth3At22 = PDdissipationNth3(&At22[index]);
-    CCTK_REAL_VEC const PDdissipationNth1At23 = PDdissipationNth1(&At23[index]);
-    CCTK_REAL_VEC const PDdissipationNth2At23 = PDdissipationNth2(&At23[index]);
-    CCTK_REAL_VEC const PDdissipationNth3At23 = PDdissipationNth3(&At23[index]);
-    CCTK_REAL_VEC const PDdissipationNth1At33 = PDdissipationNth1(&At33[index]);
-    CCTK_REAL_VEC const PDdissipationNth2At33 = PDdissipationNth2(&At33[index]);
-    CCTK_REAL_VEC const PDdissipationNth3At33 = PDdissipationNth3(&At33[index]);
-    CCTK_REAL_VEC const PDdissipationNth1B1 = PDdissipationNth1(&B1[index]);
-    CCTK_REAL_VEC const PDdissipationNth2B1 = PDdissipationNth2(&B1[index]);
-    CCTK_REAL_VEC const PDdissipationNth3B1 = PDdissipationNth3(&B1[index]);
-    CCTK_REAL_VEC const PDdissipationNth1B2 = PDdissipationNth1(&B2[index]);
-    CCTK_REAL_VEC const PDdissipationNth2B2 = PDdissipationNth2(&B2[index]);
-    CCTK_REAL_VEC const PDdissipationNth3B2 = PDdissipationNth3(&B2[index]);
-    CCTK_REAL_VEC const PDdissipationNth1B3 = PDdissipationNth1(&B3[index]);
-    CCTK_REAL_VEC const PDdissipationNth2B3 = PDdissipationNth2(&B3[index]);
-    CCTK_REAL_VEC const PDdissipationNth3B3 = PDdissipationNth3(&B3[index]);
-    CCTK_REAL_VEC const PDdissipationNth1beta1 = PDdissipationNth1(&beta1[index]);
-    CCTK_REAL_VEC const PDdissipationNth2beta1 = PDdissipationNth2(&beta1[index]);
-    CCTK_REAL_VEC const PDdissipationNth3beta1 = PDdissipationNth3(&beta1[index]);
-    CCTK_REAL_VEC const PDdissipationNth1beta2 = PDdissipationNth1(&beta2[index]);
-    CCTK_REAL_VEC const PDdissipationNth2beta2 = PDdissipationNth2(&beta2[index]);
-    CCTK_REAL_VEC const PDdissipationNth3beta2 = PDdissipationNth3(&beta2[index]);
-    CCTK_REAL_VEC const PDdissipationNth1beta3 = PDdissipationNth1(&beta3[index]);
-    CCTK_REAL_VEC const PDdissipationNth2beta3 = PDdissipationNth2(&beta3[index]);
-    CCTK_REAL_VEC const PDdissipationNth3beta3 = PDdissipationNth3(&beta3[index]);
-    CCTK_REAL_VEC const PDdissipationNth1gt11 = PDdissipationNth1(&gt11[index]);
-    CCTK_REAL_VEC const PDdissipationNth2gt11 = PDdissipationNth2(&gt11[index]);
-    CCTK_REAL_VEC const PDdissipationNth3gt11 = PDdissipationNth3(&gt11[index]);
-    CCTK_REAL_VEC const PDdissipationNth1gt12 = PDdissipationNth1(&gt12[index]);
-    CCTK_REAL_VEC const PDdissipationNth2gt12 = PDdissipationNth2(&gt12[index]);
-    CCTK_REAL_VEC const PDdissipationNth3gt12 = PDdissipationNth3(&gt12[index]);
-    CCTK_REAL_VEC const PDdissipationNth1gt13 = PDdissipationNth1(&gt13[index]);
-    CCTK_REAL_VEC const PDdissipationNth2gt13 = PDdissipationNth2(&gt13[index]);
-    CCTK_REAL_VEC const PDdissipationNth3gt13 = PDdissipationNth3(&gt13[index]);
-    CCTK_REAL_VEC const PDdissipationNth1gt22 = PDdissipationNth1(&gt22[index]);
-    CCTK_REAL_VEC const PDdissipationNth2gt22 = PDdissipationNth2(&gt22[index]);
-    CCTK_REAL_VEC const PDdissipationNth3gt22 = PDdissipationNth3(&gt22[index]);
-    CCTK_REAL_VEC const PDdissipationNth1gt23 = PDdissipationNth1(&gt23[index]);
-    CCTK_REAL_VEC const PDdissipationNth2gt23 = PDdissipationNth2(&gt23[index]);
-    CCTK_REAL_VEC const PDdissipationNth3gt23 = PDdissipationNth3(&gt23[index]);
-    CCTK_REAL_VEC const PDdissipationNth1gt33 = PDdissipationNth1(&gt33[index]);
-    CCTK_REAL_VEC const PDdissipationNth2gt33 = PDdissipationNth2(&gt33[index]);
-    CCTK_REAL_VEC const PDdissipationNth3gt33 = PDdissipationNth3(&gt33[index]);
-    CCTK_REAL_VEC const PDdissipationNth1phi = PDdissipationNth1(&phi[index]);
-    CCTK_REAL_VEC const PDdissipationNth2phi = PDdissipationNth2(&phi[index]);
-    CCTK_REAL_VEC const PDdissipationNth3phi = PDdissipationNth3(&phi[index]);
-    CCTK_REAL_VEC const PDdissipationNth1trK = PDdissipationNth1(&trK[index]);
-    CCTK_REAL_VEC const PDdissipationNth2trK = PDdissipationNth2(&trK[index]);
-    CCTK_REAL_VEC const PDdissipationNth3trK = PDdissipationNth3(&trK[index]);
-    CCTK_REAL_VEC const PDdissipationNth1Xt1 = PDdissipationNth1(&Xt1[index]);
-    CCTK_REAL_VEC const PDdissipationNth2Xt1 = PDdissipationNth2(&Xt1[index]);
-    CCTK_REAL_VEC const PDdissipationNth3Xt1 = PDdissipationNth3(&Xt1[index]);
-    CCTK_REAL_VEC const PDdissipationNth1Xt2 = PDdissipationNth1(&Xt2[index]);
-    CCTK_REAL_VEC const PDdissipationNth2Xt2 = PDdissipationNth2(&Xt2[index]);
-    CCTK_REAL_VEC const PDdissipationNth3Xt2 = PDdissipationNth3(&Xt2[index]);
-    CCTK_REAL_VEC const PDdissipationNth1Xt3 = PDdissipationNth1(&Xt3[index]);
-    CCTK_REAL_VEC const PDdissipationNth2Xt3 = PDdissipationNth2(&Xt3[index]);
-    CCTK_REAL_VEC const PDdissipationNth3Xt3 = PDdissipationNth3(&Xt3[index]);
+    CCTK_REAL_VEC PDdissipationNth1A;
+    CCTK_REAL_VEC PDdissipationNth2A;
+    CCTK_REAL_VEC PDdissipationNth3A;
+    CCTK_REAL_VEC PDdissipationNth1alpha;
+    CCTK_REAL_VEC PDdissipationNth2alpha;
+    CCTK_REAL_VEC PDdissipationNth3alpha;
+    CCTK_REAL_VEC PDdissipationNth1At11;
+    CCTK_REAL_VEC PDdissipationNth2At11;
+    CCTK_REAL_VEC PDdissipationNth3At11;
+    CCTK_REAL_VEC PDdissipationNth1At12;
+    CCTK_REAL_VEC PDdissipationNth2At12;
+    CCTK_REAL_VEC PDdissipationNth3At12;
+    CCTK_REAL_VEC PDdissipationNth1At13;
+    CCTK_REAL_VEC PDdissipationNth2At13;
+    CCTK_REAL_VEC PDdissipationNth3At13;
+    CCTK_REAL_VEC PDdissipationNth1At22;
+    CCTK_REAL_VEC PDdissipationNth2At22;
+    CCTK_REAL_VEC PDdissipationNth3At22;
+    CCTK_REAL_VEC PDdissipationNth1At23;
+    CCTK_REAL_VEC PDdissipationNth2At23;
+    CCTK_REAL_VEC PDdissipationNth3At23;
+    CCTK_REAL_VEC PDdissipationNth1At33;
+    CCTK_REAL_VEC PDdissipationNth2At33;
+    CCTK_REAL_VEC PDdissipationNth3At33;
+    CCTK_REAL_VEC PDdissipationNth1B1;
+    CCTK_REAL_VEC PDdissipationNth2B1;
+    CCTK_REAL_VEC PDdissipationNth3B1;
+    CCTK_REAL_VEC PDdissipationNth1B2;
+    CCTK_REAL_VEC PDdissipationNth2B2;
+    CCTK_REAL_VEC PDdissipationNth3B2;
+    CCTK_REAL_VEC PDdissipationNth1B3;
+    CCTK_REAL_VEC PDdissipationNth2B3;
+    CCTK_REAL_VEC PDdissipationNth3B3;
+    CCTK_REAL_VEC PDdissipationNth1beta1;
+    CCTK_REAL_VEC PDdissipationNth2beta1;
+    CCTK_REAL_VEC PDdissipationNth3beta1;
+    CCTK_REAL_VEC PDdissipationNth1beta2;
+    CCTK_REAL_VEC PDdissipationNth2beta2;
+    CCTK_REAL_VEC PDdissipationNth3beta2;
+    CCTK_REAL_VEC PDdissipationNth1beta3;
+    CCTK_REAL_VEC PDdissipationNth2beta3;
+    CCTK_REAL_VEC PDdissipationNth3beta3;
+    CCTK_REAL_VEC PDdissipationNth1gt11;
+    CCTK_REAL_VEC PDdissipationNth2gt11;
+    CCTK_REAL_VEC PDdissipationNth3gt11;
+    CCTK_REAL_VEC PDdissipationNth1gt12;
+    CCTK_REAL_VEC PDdissipationNth2gt12;
+    CCTK_REAL_VEC PDdissipationNth3gt12;
+    CCTK_REAL_VEC PDdissipationNth1gt13;
+    CCTK_REAL_VEC PDdissipationNth2gt13;
+    CCTK_REAL_VEC PDdissipationNth3gt13;
+    CCTK_REAL_VEC PDdissipationNth1gt22;
+    CCTK_REAL_VEC PDdissipationNth2gt22;
+    CCTK_REAL_VEC PDdissipationNth3gt22;
+    CCTK_REAL_VEC PDdissipationNth1gt23;
+    CCTK_REAL_VEC PDdissipationNth2gt23;
+    CCTK_REAL_VEC PDdissipationNth3gt23;
+    CCTK_REAL_VEC PDdissipationNth1gt33;
+    CCTK_REAL_VEC PDdissipationNth2gt33;
+    CCTK_REAL_VEC PDdissipationNth3gt33;
+    CCTK_REAL_VEC PDdissipationNth1phi;
+    CCTK_REAL_VEC PDdissipationNth2phi;
+    CCTK_REAL_VEC PDdissipationNth3phi;
+    CCTK_REAL_VEC PDdissipationNth1trK;
+    CCTK_REAL_VEC PDdissipationNth2trK;
+    CCTK_REAL_VEC PDdissipationNth3trK;
+    CCTK_REAL_VEC PDdissipationNth1Xt1;
+    CCTK_REAL_VEC PDdissipationNth2Xt1;
+    CCTK_REAL_VEC PDdissipationNth3Xt1;
+    CCTK_REAL_VEC PDdissipationNth1Xt2;
+    CCTK_REAL_VEC PDdissipationNth2Xt2;
+    CCTK_REAL_VEC PDdissipationNth3Xt2;
+    CCTK_REAL_VEC PDdissipationNth1Xt3;
+    CCTK_REAL_VEC PDdissipationNth2Xt3;
+    CCTK_REAL_VEC PDdissipationNth3Xt3;
+    
+    switch(fdOrder)
+    {
+      case 2:
+        PDdissipationNth1A = PDdissipationNthfdOrder21(&A[index]);
+        PDdissipationNth2A = PDdissipationNthfdOrder22(&A[index]);
+        PDdissipationNth3A = PDdissipationNthfdOrder23(&A[index]);
+        PDdissipationNth1alpha = PDdissipationNthfdOrder21(&alpha[index]);
+        PDdissipationNth2alpha = PDdissipationNthfdOrder22(&alpha[index]);
+        PDdissipationNth3alpha = PDdissipationNthfdOrder23(&alpha[index]);
+        PDdissipationNth1At11 = PDdissipationNthfdOrder21(&At11[index]);
+        PDdissipationNth2At11 = PDdissipationNthfdOrder22(&At11[index]);
+        PDdissipationNth3At11 = PDdissipationNthfdOrder23(&At11[index]);
+        PDdissipationNth1At12 = PDdissipationNthfdOrder21(&At12[index]);
+        PDdissipationNth2At12 = PDdissipationNthfdOrder22(&At12[index]);
+        PDdissipationNth3At12 = PDdissipationNthfdOrder23(&At12[index]);
+        PDdissipationNth1At13 = PDdissipationNthfdOrder21(&At13[index]);
+        PDdissipationNth2At13 = PDdissipationNthfdOrder22(&At13[index]);
+        PDdissipationNth3At13 = PDdissipationNthfdOrder23(&At13[index]);
+        PDdissipationNth1At22 = PDdissipationNthfdOrder21(&At22[index]);
+        PDdissipationNth2At22 = PDdissipationNthfdOrder22(&At22[index]);
+        PDdissipationNth3At22 = PDdissipationNthfdOrder23(&At22[index]);
+        PDdissipationNth1At23 = PDdissipationNthfdOrder21(&At23[index]);
+        PDdissipationNth2At23 = PDdissipationNthfdOrder22(&At23[index]);
+        PDdissipationNth3At23 = PDdissipationNthfdOrder23(&At23[index]);
+        PDdissipationNth1At33 = PDdissipationNthfdOrder21(&At33[index]);
+        PDdissipationNth2At33 = PDdissipationNthfdOrder22(&At33[index]);
+        PDdissipationNth3At33 = PDdissipationNthfdOrder23(&At33[index]);
+        PDdissipationNth1B1 = PDdissipationNthfdOrder21(&B1[index]);
+        PDdissipationNth2B1 = PDdissipationNthfdOrder22(&B1[index]);
+        PDdissipationNth3B1 = PDdissipationNthfdOrder23(&B1[index]);
+        PDdissipationNth1B2 = PDdissipationNthfdOrder21(&B2[index]);
+        PDdissipationNth2B2 = PDdissipationNthfdOrder22(&B2[index]);
+        PDdissipationNth3B2 = PDdissipationNthfdOrder23(&B2[index]);
+        PDdissipationNth1B3 = PDdissipationNthfdOrder21(&B3[index]);
+        PDdissipationNth2B3 = PDdissipationNthfdOrder22(&B3[index]);
+        PDdissipationNth3B3 = PDdissipationNthfdOrder23(&B3[index]);
+        PDdissipationNth1beta1 = PDdissipationNthfdOrder21(&beta1[index]);
+        PDdissipationNth2beta1 = PDdissipationNthfdOrder22(&beta1[index]);
+        PDdissipationNth3beta1 = PDdissipationNthfdOrder23(&beta1[index]);
+        PDdissipationNth1beta2 = PDdissipationNthfdOrder21(&beta2[index]);
+        PDdissipationNth2beta2 = PDdissipationNthfdOrder22(&beta2[index]);
+        PDdissipationNth3beta2 = PDdissipationNthfdOrder23(&beta2[index]);
+        PDdissipationNth1beta3 = PDdissipationNthfdOrder21(&beta3[index]);
+        PDdissipationNth2beta3 = PDdissipationNthfdOrder22(&beta3[index]);
+        PDdissipationNth3beta3 = PDdissipationNthfdOrder23(&beta3[index]);
+        PDdissipationNth1gt11 = PDdissipationNthfdOrder21(&gt11[index]);
+        PDdissipationNth2gt11 = PDdissipationNthfdOrder22(&gt11[index]);
+        PDdissipationNth3gt11 = PDdissipationNthfdOrder23(&gt11[index]);
+        PDdissipationNth1gt12 = PDdissipationNthfdOrder21(&gt12[index]);
+        PDdissipationNth2gt12 = PDdissipationNthfdOrder22(&gt12[index]);
+        PDdissipationNth3gt12 = PDdissipationNthfdOrder23(&gt12[index]);
+        PDdissipationNth1gt13 = PDdissipationNthfdOrder21(&gt13[index]);
+        PDdissipationNth2gt13 = PDdissipationNthfdOrder22(&gt13[index]);
+        PDdissipationNth3gt13 = PDdissipationNthfdOrder23(&gt13[index]);
+        PDdissipationNth1gt22 = PDdissipationNthfdOrder21(&gt22[index]);
+        PDdissipationNth2gt22 = PDdissipationNthfdOrder22(&gt22[index]);
+        PDdissipationNth3gt22 = PDdissipationNthfdOrder23(&gt22[index]);
+        PDdissipationNth1gt23 = PDdissipationNthfdOrder21(&gt23[index]);
+        PDdissipationNth2gt23 = PDdissipationNthfdOrder22(&gt23[index]);
+        PDdissipationNth3gt23 = PDdissipationNthfdOrder23(&gt23[index]);
+        PDdissipationNth1gt33 = PDdissipationNthfdOrder21(&gt33[index]);
+        PDdissipationNth2gt33 = PDdissipationNthfdOrder22(&gt33[index]);
+        PDdissipationNth3gt33 = PDdissipationNthfdOrder23(&gt33[index]);
+        PDdissipationNth1phi = PDdissipationNthfdOrder21(&phi[index]);
+        PDdissipationNth2phi = PDdissipationNthfdOrder22(&phi[index]);
+        PDdissipationNth3phi = PDdissipationNthfdOrder23(&phi[index]);
+        PDdissipationNth1trK = PDdissipationNthfdOrder21(&trK[index]);
+        PDdissipationNth2trK = PDdissipationNthfdOrder22(&trK[index]);
+        PDdissipationNth3trK = PDdissipationNthfdOrder23(&trK[index]);
+        PDdissipationNth1Xt1 = PDdissipationNthfdOrder21(&Xt1[index]);
+        PDdissipationNth2Xt1 = PDdissipationNthfdOrder22(&Xt1[index]);
+        PDdissipationNth3Xt1 = PDdissipationNthfdOrder23(&Xt1[index]);
+        PDdissipationNth1Xt2 = PDdissipationNthfdOrder21(&Xt2[index]);
+        PDdissipationNth2Xt2 = PDdissipationNthfdOrder22(&Xt2[index]);
+        PDdissipationNth3Xt2 = PDdissipationNthfdOrder23(&Xt2[index]);
+        PDdissipationNth1Xt3 = PDdissipationNthfdOrder21(&Xt3[index]);
+        PDdissipationNth2Xt3 = PDdissipationNthfdOrder22(&Xt3[index]);
+        PDdissipationNth3Xt3 = PDdissipationNthfdOrder23(&Xt3[index]);
+        break;
+      
+      case 4:
+        PDdissipationNth1A = PDdissipationNthfdOrder41(&A[index]);
+        PDdissipationNth2A = PDdissipationNthfdOrder42(&A[index]);
+        PDdissipationNth3A = PDdissipationNthfdOrder43(&A[index]);
+        PDdissipationNth1alpha = PDdissipationNthfdOrder41(&alpha[index]);
+        PDdissipationNth2alpha = PDdissipationNthfdOrder42(&alpha[index]);
+        PDdissipationNth3alpha = PDdissipationNthfdOrder43(&alpha[index]);
+        PDdissipationNth1At11 = PDdissipationNthfdOrder41(&At11[index]);
+        PDdissipationNth2At11 = PDdissipationNthfdOrder42(&At11[index]);
+        PDdissipationNth3At11 = PDdissipationNthfdOrder43(&At11[index]);
+        PDdissipationNth1At12 = PDdissipationNthfdOrder41(&At12[index]);
+        PDdissipationNth2At12 = PDdissipationNthfdOrder42(&At12[index]);
+        PDdissipationNth3At12 = PDdissipationNthfdOrder43(&At12[index]);
+        PDdissipationNth1At13 = PDdissipationNthfdOrder41(&At13[index]);
+        PDdissipationNth2At13 = PDdissipationNthfdOrder42(&At13[index]);
+        PDdissipationNth3At13 = PDdissipationNthfdOrder43(&At13[index]);
+        PDdissipationNth1At22 = PDdissipationNthfdOrder41(&At22[index]);
+        PDdissipationNth2At22 = PDdissipationNthfdOrder42(&At22[index]);
+        PDdissipationNth3At22 = PDdissipationNthfdOrder43(&At22[index]);
+        PDdissipationNth1At23 = PDdissipationNthfdOrder41(&At23[index]);
+        PDdissipationNth2At23 = PDdissipationNthfdOrder42(&At23[index]);
+        PDdissipationNth3At23 = PDdissipationNthfdOrder43(&At23[index]);
+        PDdissipationNth1At33 = PDdissipationNthfdOrder41(&At33[index]);
+        PDdissipationNth2At33 = PDdissipationNthfdOrder42(&At33[index]);
+        PDdissipationNth3At33 = PDdissipationNthfdOrder43(&At33[index]);
+        PDdissipationNth1B1 = PDdissipationNthfdOrder41(&B1[index]);
+        PDdissipationNth2B1 = PDdissipationNthfdOrder42(&B1[index]);
+        PDdissipationNth3B1 = PDdissipationNthfdOrder43(&B1[index]);
+        PDdissipationNth1B2 = PDdissipationNthfdOrder41(&B2[index]);
+        PDdissipationNth2B2 = PDdissipationNthfdOrder42(&B2[index]);
+        PDdissipationNth3B2 = PDdissipationNthfdOrder43(&B2[index]);
+        PDdissipationNth1B3 = PDdissipationNthfdOrder41(&B3[index]);
+        PDdissipationNth2B3 = PDdissipationNthfdOrder42(&B3[index]);
+        PDdissipationNth3B3 = PDdissipationNthfdOrder43(&B3[index]);
+        PDdissipationNth1beta1 = PDdissipationNthfdOrder41(&beta1[index]);
+        PDdissipationNth2beta1 = PDdissipationNthfdOrder42(&beta1[index]);
+        PDdissipationNth3beta1 = PDdissipationNthfdOrder43(&beta1[index]);
+        PDdissipationNth1beta2 = PDdissipationNthfdOrder41(&beta2[index]);
+        PDdissipationNth2beta2 = PDdissipationNthfdOrder42(&beta2[index]);
+        PDdissipationNth3beta2 = PDdissipationNthfdOrder43(&beta2[index]);
+        PDdissipationNth1beta3 = PDdissipationNthfdOrder41(&beta3[index]);
+        PDdissipationNth2beta3 = PDdissipationNthfdOrder42(&beta3[index]);
+        PDdissipationNth3beta3 = PDdissipationNthfdOrder43(&beta3[index]);
+        PDdissipationNth1gt11 = PDdissipationNthfdOrder41(&gt11[index]);
+        PDdissipationNth2gt11 = PDdissipationNthfdOrder42(&gt11[index]);
+        PDdissipationNth3gt11 = PDdissipationNthfdOrder43(&gt11[index]);
+        PDdissipationNth1gt12 = PDdissipationNthfdOrder41(&gt12[index]);
+        PDdissipationNth2gt12 = PDdissipationNthfdOrder42(&gt12[index]);
+        PDdissipationNth3gt12 = PDdissipationNthfdOrder43(&gt12[index]);
+        PDdissipationNth1gt13 = PDdissipationNthfdOrder41(&gt13[index]);
+        PDdissipationNth2gt13 = PDdissipationNthfdOrder42(&gt13[index]);
+        PDdissipationNth3gt13 = PDdissipationNthfdOrder43(&gt13[index]);
+        PDdissipationNth1gt22 = PDdissipationNthfdOrder41(&gt22[index]);
+        PDdissipationNth2gt22 = PDdissipationNthfdOrder42(&gt22[index]);
+        PDdissipationNth3gt22 = PDdissipationNthfdOrder43(&gt22[index]);
+        PDdissipationNth1gt23 = PDdissipationNthfdOrder41(&gt23[index]);
+        PDdissipationNth2gt23 = PDdissipationNthfdOrder42(&gt23[index]);
+        PDdissipationNth3gt23 = PDdissipationNthfdOrder43(&gt23[index]);
+        PDdissipationNth1gt33 = PDdissipationNthfdOrder41(&gt33[index]);
+        PDdissipationNth2gt33 = PDdissipationNthfdOrder42(&gt33[index]);
+        PDdissipationNth3gt33 = PDdissipationNthfdOrder43(&gt33[index]);
+        PDdissipationNth1phi = PDdissipationNthfdOrder41(&phi[index]);
+        PDdissipationNth2phi = PDdissipationNthfdOrder42(&phi[index]);
+        PDdissipationNth3phi = PDdissipationNthfdOrder43(&phi[index]);
+        PDdissipationNth1trK = PDdissipationNthfdOrder41(&trK[index]);
+        PDdissipationNth2trK = PDdissipationNthfdOrder42(&trK[index]);
+        PDdissipationNth3trK = PDdissipationNthfdOrder43(&trK[index]);
+        PDdissipationNth1Xt1 = PDdissipationNthfdOrder41(&Xt1[index]);
+        PDdissipationNth2Xt1 = PDdissipationNthfdOrder42(&Xt1[index]);
+        PDdissipationNth3Xt1 = PDdissipationNthfdOrder43(&Xt1[index]);
+        PDdissipationNth1Xt2 = PDdissipationNthfdOrder41(&Xt2[index]);
+        PDdissipationNth2Xt2 = PDdissipationNthfdOrder42(&Xt2[index]);
+        PDdissipationNth3Xt2 = PDdissipationNthfdOrder43(&Xt2[index]);
+        PDdissipationNth1Xt3 = PDdissipationNthfdOrder41(&Xt3[index]);
+        PDdissipationNth2Xt3 = PDdissipationNthfdOrder42(&Xt3[index]);
+        PDdissipationNth3Xt3 = PDdissipationNthfdOrder43(&Xt3[index]);
+        break;
+      
+      case 6:
+        PDdissipationNth1A = PDdissipationNthfdOrder61(&A[index]);
+        PDdissipationNth2A = PDdissipationNthfdOrder62(&A[index]);
+        PDdissipationNth3A = PDdissipationNthfdOrder63(&A[index]);
+        PDdissipationNth1alpha = PDdissipationNthfdOrder61(&alpha[index]);
+        PDdissipationNth2alpha = PDdissipationNthfdOrder62(&alpha[index]);
+        PDdissipationNth3alpha = PDdissipationNthfdOrder63(&alpha[index]);
+        PDdissipationNth1At11 = PDdissipationNthfdOrder61(&At11[index]);
+        PDdissipationNth2At11 = PDdissipationNthfdOrder62(&At11[index]);
+        PDdissipationNth3At11 = PDdissipationNthfdOrder63(&At11[index]);
+        PDdissipationNth1At12 = PDdissipationNthfdOrder61(&At12[index]);
+        PDdissipationNth2At12 = PDdissipationNthfdOrder62(&At12[index]);
+        PDdissipationNth3At12 = PDdissipationNthfdOrder63(&At12[index]);
+        PDdissipationNth1At13 = PDdissipationNthfdOrder61(&At13[index]);
+        PDdissipationNth2At13 = PDdissipationNthfdOrder62(&At13[index]);
+        PDdissipationNth3At13 = PDdissipationNthfdOrder63(&At13[index]);
+        PDdissipationNth1At22 = PDdissipationNthfdOrder61(&At22[index]);
+        PDdissipationNth2At22 = PDdissipationNthfdOrder62(&At22[index]);
+        PDdissipationNth3At22 = PDdissipationNthfdOrder63(&At22[index]);
+        PDdissipationNth1At23 = PDdissipationNthfdOrder61(&At23[index]);
+        PDdissipationNth2At23 = PDdissipationNthfdOrder62(&At23[index]);
+        PDdissipationNth3At23 = PDdissipationNthfdOrder63(&At23[index]);
+        PDdissipationNth1At33 = PDdissipationNthfdOrder61(&At33[index]);
+        PDdissipationNth2At33 = PDdissipationNthfdOrder62(&At33[index]);
+        PDdissipationNth3At33 = PDdissipationNthfdOrder63(&At33[index]);
+        PDdissipationNth1B1 = PDdissipationNthfdOrder61(&B1[index]);
+        PDdissipationNth2B1 = PDdissipationNthfdOrder62(&B1[index]);
+        PDdissipationNth3B1 = PDdissipationNthfdOrder63(&B1[index]);
+        PDdissipationNth1B2 = PDdissipationNthfdOrder61(&B2[index]);
+        PDdissipationNth2B2 = PDdissipationNthfdOrder62(&B2[index]);
+        PDdissipationNth3B2 = PDdissipationNthfdOrder63(&B2[index]);
+        PDdissipationNth1B3 = PDdissipationNthfdOrder61(&B3[index]);
+        PDdissipationNth2B3 = PDdissipationNthfdOrder62(&B3[index]);
+        PDdissipationNth3B3 = PDdissipationNthfdOrder63(&B3[index]);
+        PDdissipationNth1beta1 = PDdissipationNthfdOrder61(&beta1[index]);
+        PDdissipationNth2beta1 = PDdissipationNthfdOrder62(&beta1[index]);
+        PDdissipationNth3beta1 = PDdissipationNthfdOrder63(&beta1[index]);
+        PDdissipationNth1beta2 = PDdissipationNthfdOrder61(&beta2[index]);
+        PDdissipationNth2beta2 = PDdissipationNthfdOrder62(&beta2[index]);
+        PDdissipationNth3beta2 = PDdissipationNthfdOrder63(&beta2[index]);
+        PDdissipationNth1beta3 = PDdissipationNthfdOrder61(&beta3[index]);
+        PDdissipationNth2beta3 = PDdissipationNthfdOrder62(&beta3[index]);
+        PDdissipationNth3beta3 = PDdissipationNthfdOrder63(&beta3[index]);
+        PDdissipationNth1gt11 = PDdissipationNthfdOrder61(&gt11[index]);
+        PDdissipationNth2gt11 = PDdissipationNthfdOrder62(&gt11[index]);
+        PDdissipationNth3gt11 = PDdissipationNthfdOrder63(&gt11[index]);
+        PDdissipationNth1gt12 = PDdissipationNthfdOrder61(&gt12[index]);
+        PDdissipationNth2gt12 = PDdissipationNthfdOrder62(&gt12[index]);
+        PDdissipationNth3gt12 = PDdissipationNthfdOrder63(&gt12[index]);
+        PDdissipationNth1gt13 = PDdissipationNthfdOrder61(&gt13[index]);
+        PDdissipationNth2gt13 = PDdissipationNthfdOrder62(&gt13[index]);
+        PDdissipationNth3gt13 = PDdissipationNthfdOrder63(&gt13[index]);
+        PDdissipationNth1gt22 = PDdissipationNthfdOrder61(&gt22[index]);
+        PDdissipationNth2gt22 = PDdissipationNthfdOrder62(&gt22[index]);
+        PDdissipationNth3gt22 = PDdissipationNthfdOrder63(&gt22[index]);
+        PDdissipationNth1gt23 = PDdissipationNthfdOrder61(&gt23[index]);
+        PDdissipationNth2gt23 = PDdissipationNthfdOrder62(&gt23[index]);
+        PDdissipationNth3gt23 = PDdissipationNthfdOrder63(&gt23[index]);
+        PDdissipationNth1gt33 = PDdissipationNthfdOrder61(&gt33[index]);
+        PDdissipationNth2gt33 = PDdissipationNthfdOrder62(&gt33[index]);
+        PDdissipationNth3gt33 = PDdissipationNthfdOrder63(&gt33[index]);
+        PDdissipationNth1phi = PDdissipationNthfdOrder61(&phi[index]);
+        PDdissipationNth2phi = PDdissipationNthfdOrder62(&phi[index]);
+        PDdissipationNth3phi = PDdissipationNthfdOrder63(&phi[index]);
+        PDdissipationNth1trK = PDdissipationNthfdOrder61(&trK[index]);
+        PDdissipationNth2trK = PDdissipationNthfdOrder62(&trK[index]);
+        PDdissipationNth3trK = PDdissipationNthfdOrder63(&trK[index]);
+        PDdissipationNth1Xt1 = PDdissipationNthfdOrder61(&Xt1[index]);
+        PDdissipationNth2Xt1 = PDdissipationNthfdOrder62(&Xt1[index]);
+        PDdissipationNth3Xt1 = PDdissipationNthfdOrder63(&Xt1[index]);
+        PDdissipationNth1Xt2 = PDdissipationNthfdOrder61(&Xt2[index]);
+        PDdissipationNth2Xt2 = PDdissipationNthfdOrder62(&Xt2[index]);
+        PDdissipationNth3Xt2 = PDdissipationNthfdOrder63(&Xt2[index]);
+        PDdissipationNth1Xt3 = PDdissipationNthfdOrder61(&Xt3[index]);
+        PDdissipationNth2Xt3 = PDdissipationNthfdOrder62(&Xt3[index]);
+        PDdissipationNth3Xt3 = PDdissipationNthfdOrder63(&Xt3[index]);
+        break;
+      
+      case 8:
+        PDdissipationNth1A = PDdissipationNthfdOrder81(&A[index]);
+        PDdissipationNth2A = PDdissipationNthfdOrder82(&A[index]);
+        PDdissipationNth3A = PDdissipationNthfdOrder83(&A[index]);
+        PDdissipationNth1alpha = PDdissipationNthfdOrder81(&alpha[index]);
+        PDdissipationNth2alpha = PDdissipationNthfdOrder82(&alpha[index]);
+        PDdissipationNth3alpha = PDdissipationNthfdOrder83(&alpha[index]);
+        PDdissipationNth1At11 = PDdissipationNthfdOrder81(&At11[index]);
+        PDdissipationNth2At11 = PDdissipationNthfdOrder82(&At11[index]);
+        PDdissipationNth3At11 = PDdissipationNthfdOrder83(&At11[index]);
+        PDdissipationNth1At12 = PDdissipationNthfdOrder81(&At12[index]);
+        PDdissipationNth2At12 = PDdissipationNthfdOrder82(&At12[index]);
+        PDdissipationNth3At12 = PDdissipationNthfdOrder83(&At12[index]);
+        PDdissipationNth1At13 = PDdissipationNthfdOrder81(&At13[index]);
+        PDdissipationNth2At13 = PDdissipationNthfdOrder82(&At13[index]);
+        PDdissipationNth3At13 = PDdissipationNthfdOrder83(&At13[index]);
+        PDdissipationNth1At22 = PDdissipationNthfdOrder81(&At22[index]);
+        PDdissipationNth2At22 = PDdissipationNthfdOrder82(&At22[index]);
+        PDdissipationNth3At22 = PDdissipationNthfdOrder83(&At22[index]);
+        PDdissipationNth1At23 = PDdissipationNthfdOrder81(&At23[index]);
+        PDdissipationNth2At23 = PDdissipationNthfdOrder82(&At23[index]);
+        PDdissipationNth3At23 = PDdissipationNthfdOrder83(&At23[index]);
+        PDdissipationNth1At33 = PDdissipationNthfdOrder81(&At33[index]);
+        PDdissipationNth2At33 = PDdissipationNthfdOrder82(&At33[index]);
+        PDdissipationNth3At33 = PDdissipationNthfdOrder83(&At33[index]);
+        PDdissipationNth1B1 = PDdissipationNthfdOrder81(&B1[index]);
+        PDdissipationNth2B1 = PDdissipationNthfdOrder82(&B1[index]);
+        PDdissipationNth3B1 = PDdissipationNthfdOrder83(&B1[index]);
+        PDdissipationNth1B2 = PDdissipationNthfdOrder81(&B2[index]);
+        PDdissipationNth2B2 = PDdissipationNthfdOrder82(&B2[index]);
+        PDdissipationNth3B2 = PDdissipationNthfdOrder83(&B2[index]);
+        PDdissipationNth1B3 = PDdissipationNthfdOrder81(&B3[index]);
+        PDdissipationNth2B3 = PDdissipationNthfdOrder82(&B3[index]);
+        PDdissipationNth3B3 = PDdissipationNthfdOrder83(&B3[index]);
+        PDdissipationNth1beta1 = PDdissipationNthfdOrder81(&beta1[index]);
+        PDdissipationNth2beta1 = PDdissipationNthfdOrder82(&beta1[index]);
+        PDdissipationNth3beta1 = PDdissipationNthfdOrder83(&beta1[index]);
+        PDdissipationNth1beta2 = PDdissipationNthfdOrder81(&beta2[index]);
+        PDdissipationNth2beta2 = PDdissipationNthfdOrder82(&beta2[index]);
+        PDdissipationNth3beta2 = PDdissipationNthfdOrder83(&beta2[index]);
+        PDdissipationNth1beta3 = PDdissipationNthfdOrder81(&beta3[index]);
+        PDdissipationNth2beta3 = PDdissipationNthfdOrder82(&beta3[index]);
+        PDdissipationNth3beta3 = PDdissipationNthfdOrder83(&beta3[index]);
+        PDdissipationNth1gt11 = PDdissipationNthfdOrder81(&gt11[index]);
+        PDdissipationNth2gt11 = PDdissipationNthfdOrder82(&gt11[index]);
+        PDdissipationNth3gt11 = PDdissipationNthfdOrder83(&gt11[index]);
+        PDdissipationNth1gt12 = PDdissipationNthfdOrder81(&gt12[index]);
+        PDdissipationNth2gt12 = PDdissipationNthfdOrder82(&gt12[index]);
+        PDdissipationNth3gt12 = PDdissipationNthfdOrder83(&gt12[index]);
+        PDdissipationNth1gt13 = PDdissipationNthfdOrder81(&gt13[index]);
+        PDdissipationNth2gt13 = PDdissipationNthfdOrder82(&gt13[index]);
+        PDdissipationNth3gt13 = PDdissipationNthfdOrder83(&gt13[index]);
+        PDdissipationNth1gt22 = PDdissipationNthfdOrder81(&gt22[index]);
+        PDdissipationNth2gt22 = PDdissipationNthfdOrder82(&gt22[index]);
+        PDdissipationNth3gt22 = PDdissipationNthfdOrder83(&gt22[index]);
+        PDdissipationNth1gt23 = PDdissipationNthfdOrder81(&gt23[index]);
+        PDdissipationNth2gt23 = PDdissipationNthfdOrder82(&gt23[index]);
+        PDdissipationNth3gt23 = PDdissipationNthfdOrder83(&gt23[index]);
+        PDdissipationNth1gt33 = PDdissipationNthfdOrder81(&gt33[index]);
+        PDdissipationNth2gt33 = PDdissipationNthfdOrder82(&gt33[index]);
+        PDdissipationNth3gt33 = PDdissipationNthfdOrder83(&gt33[index]);
+        PDdissipationNth1phi = PDdissipationNthfdOrder81(&phi[index]);
+        PDdissipationNth2phi = PDdissipationNthfdOrder82(&phi[index]);
+        PDdissipationNth3phi = PDdissipationNthfdOrder83(&phi[index]);
+        PDdissipationNth1trK = PDdissipationNthfdOrder81(&trK[index]);
+        PDdissipationNth2trK = PDdissipationNthfdOrder82(&trK[index]);
+        PDdissipationNth3trK = PDdissipationNthfdOrder83(&trK[index]);
+        PDdissipationNth1Xt1 = PDdissipationNthfdOrder81(&Xt1[index]);
+        PDdissipationNth2Xt1 = PDdissipationNthfdOrder82(&Xt1[index]);
+        PDdissipationNth3Xt1 = PDdissipationNthfdOrder83(&Xt1[index]);
+        PDdissipationNth1Xt2 = PDdissipationNthfdOrder81(&Xt2[index]);
+        PDdissipationNth2Xt2 = PDdissipationNthfdOrder82(&Xt2[index]);
+        PDdissipationNth3Xt2 = PDdissipationNthfdOrder83(&Xt2[index]);
+        PDdissipationNth1Xt3 = PDdissipationNthfdOrder81(&Xt3[index]);
+        PDdissipationNth2Xt3 = PDdissipationNthfdOrder82(&Xt3[index]);
+        PDdissipationNth3Xt3 = PDdissipationNthfdOrder83(&Xt3[index]);
+        break;
+    }
     
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC JacPDdissipationNth1A;
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_InitGamma.cc b/ML_BSSN_MP/src/ML_BSSN_MP_InitGamma.cc
index 9e950fb..35a965a 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_InitGamma.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_InitGamma.cc
@@ -43,6 +43,20 @@ static void ML_BSSN_MP_InitGamma_Body(cGH const * restrict const cctkGH, int con
   const char *groups[] = {"ML_BSSN_MP::ML_Gamma"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_InitGamma", 1, groups);
   
+  switch(fdOrder)
+  {
+    case 2:
+      break;
+    
+    case 4:
+      break;
+    
+    case 6:
+      break;
+    
+    case 8:
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -70,24 +84,84 @@ static void ML_BSSN_MP_InitGamma_Body(cGH const * restrict const cctkGH, int con
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -152,6 +226,21 @@ static void ML_BSSN_MP_InitGamma_Body(cGH const * restrict const cctkGH, int con
     
     /* Precompute derivatives */
     
+    switch(fdOrder)
+    {
+      case 2:
+        break;
+      
+      case 4:
+        break;
+      
+      case 6:
+        break;
+      
+      case 8:
+        break;
+    }
+    
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC Xt1L = ToReal(0);
     
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_InitRHS.cc b/ML_BSSN_MP/src/ML_BSSN_MP_InitRHS.cc
index fe679eb..09c20c7 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_InitRHS.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_InitRHS.cc
@@ -43,6 +43,20 @@ static void ML_BSSN_MP_InitRHS_Body(cGH const * restrict const cctkGH, int const
   const char *groups[] = {"ML_BSSN_MP::ML_curvrhs","ML_BSSN_MP::ML_dtlapserhs","ML_BSSN_MP::ML_dtshiftrhs","ML_BSSN_MP::ML_Gammarhs","ML_BSSN_MP::ML_lapserhs","ML_BSSN_MP::ML_log_confacrhs","ML_BSSN_MP::ML_metricrhs","ML_BSSN_MP::ML_shiftrhs","ML_BSSN_MP::ML_trace_curvrhs"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_InitRHS", 9, groups);
   
+  switch(fdOrder)
+  {
+    case 2:
+      break;
+    
+    case 4:
+      break;
+    
+    case 6:
+      break;
+    
+    case 8:
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -70,24 +84,84 @@ static void ML_BSSN_MP_InitRHS_Body(cGH const * restrict const cctkGH, int const
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -152,6 +226,21 @@ static void ML_BSSN_MP_InitRHS_Body(cGH const * restrict const cctkGH, int const
     
     /* Precompute derivatives */
     
+    switch(fdOrder)
+    {
+      case 2:
+        break;
+      
+      case 4:
+        break;
+      
+      case 6:
+        break;
+      
+      case 8:
+        break;
+    }
+    
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC phirhsL = ToReal(0);
     
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_Minkowski.cc b/ML_BSSN_MP/src/ML_BSSN_MP_Minkowski.cc
index 29ab9a3..c0b19e8 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_Minkowski.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_Minkowski.cc
@@ -43,6 +43,20 @@ static void ML_BSSN_MP_Minkowski_Body(cGH const * restrict const cctkGH, int con
   const char *groups[] = {"ML_BSSN_MP::ML_curv","ML_BSSN_MP::ML_dtlapse","ML_BSSN_MP::ML_dtshift","ML_BSSN_MP::ML_Gamma","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_log_confac","ML_BSSN_MP::ML_metric","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_trace_curv"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_Minkowski", 9, groups);
   
+  switch(fdOrder)
+  {
+    case 2:
+      break;
+    
+    case 4:
+      break;
+    
+    case 6:
+      break;
+    
+    case 8:
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -70,24 +84,84 @@ static void ML_BSSN_MP_Minkowski_Body(cGH const * restrict const cctkGH, int con
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -152,6 +226,21 @@ static void ML_BSSN_MP_Minkowski_Body(cGH const * restrict const cctkGH, int con
     
     /* Precompute derivatives */
     
+    switch(fdOrder)
+    {
+      case 2:
+        break;
+      
+      case 4:
+        break;
+      
+      case 6:
+        break;
+      
+      case 8:
+        break;
+    }
+    
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC phiL = IfThen(conformalMethod,ToReal(1),ToReal(0));
     
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.cc b/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.cc
index 6c350b1..8ef7e90 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.cc
@@ -76,7 +76,24 @@ static void ML_BSSN_MP_RHS1_Body(cGH const * restrict const cctkGH, int const di
   const char *groups[] = {"grid::coordinates","Grid::coordinates","ML_BSSN_MP::ML_curv","ML_BSSN_MP::ML_dtlapse","ML_BSSN_MP::ML_dtlapserhs","ML_BSSN_MP::ML_dtshift","ML_BSSN_MP::ML_dtshiftrhs","ML_BSSN_MP::ML_Gamma","ML_BSSN_MP::ML_Gammarhs","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_lapserhs","ML_BSSN_MP::ML_log_confac","ML_BSSN_MP::ML_log_confacrhs","ML_BSSN_MP::ML_metric","ML_BSSN_MP::ML_metricrhs","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_shiftrhs","ML_BSSN_MP::ML_trace_curv","ML_BSSN_MP::ML_trace_curvrhs"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_RHS1", 19, groups);
   
-  GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_RHS1", 2, 2, 2);
+  switch(fdOrder)
+  {
+    case 2:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_RHS1", 1, 1, 1);
+      break;
+    
+    case 4:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_RHS1", 2, 2, 2);
+      break;
+    
+    case 6:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_RHS1", 3, 3, 3);
+      break;
+    
+    case 8:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_RHS1", 4, 4, 4);
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -104,24 +121,84 @@ static void ML_BSSN_MP_RHS1_Body(cGH const * restrict const cctkGH, int const di
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -271,66 +348,321 @@ static void ML_BSSN_MP_RHS1_Body(cGH const * restrict const cctkGH, int const di
     /* Include user supplied include files */
     
     /* Precompute derivatives */
-    CCTK_REAL_VEC const PDstandardNth1alpha = PDstandardNth1(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth2alpha = PDstandardNth2(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth3alpha = PDstandardNth3(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth11alpha = PDstandardNth11(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth22alpha = PDstandardNth22(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth33alpha = PDstandardNth33(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth12alpha = PDstandardNth12(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth13alpha = PDstandardNth13(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth23alpha = PDstandardNth23(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth1beta1 = PDstandardNth1(&beta1[index]);
-    CCTK_REAL_VEC const PDstandardNth2beta1 = PDstandardNth2(&beta1[index]);
-    CCTK_REAL_VEC const PDstandardNth3beta1 = PDstandardNth3(&beta1[index]);
-    CCTK_REAL_VEC const PDstandardNth11beta1 = PDstandardNth11(&beta1[index]);
-    CCTK_REAL_VEC const PDstandardNth22beta1 = PDstandardNth22(&beta1[index]);
-    CCTK_REAL_VEC const PDstandardNth33beta1 = PDstandardNth33(&beta1[index]);
-    CCTK_REAL_VEC const PDstandardNth12beta1 = PDstandardNth12(&beta1[index]);
-    CCTK_REAL_VEC const PDstandardNth13beta1 = PDstandardNth13(&beta1[index]);
-    CCTK_REAL_VEC const PDstandardNth23beta1 = PDstandardNth23(&beta1[index]);
-    CCTK_REAL_VEC const PDstandardNth1beta2 = PDstandardNth1(&beta2[index]);
-    CCTK_REAL_VEC const PDstandardNth2beta2 = PDstandardNth2(&beta2[index]);
-    CCTK_REAL_VEC const PDstandardNth3beta2 = PDstandardNth3(&beta2[index]);
-    CCTK_REAL_VEC const PDstandardNth11beta2 = PDstandardNth11(&beta2[index]);
-    CCTK_REAL_VEC const PDstandardNth22beta2 = PDstandardNth22(&beta2[index]);
-    CCTK_REAL_VEC const PDstandardNth33beta2 = PDstandardNth33(&beta2[index]);
-    CCTK_REAL_VEC const PDstandardNth12beta2 = PDstandardNth12(&beta2[index]);
-    CCTK_REAL_VEC const PDstandardNth13beta2 = PDstandardNth13(&beta2[index]);
-    CCTK_REAL_VEC const PDstandardNth23beta2 = PDstandardNth23(&beta2[index]);
-    CCTK_REAL_VEC const PDstandardNth1beta3 = PDstandardNth1(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth2beta3 = PDstandardNth2(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth3beta3 = PDstandardNth3(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth11beta3 = PDstandardNth11(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth22beta3 = PDstandardNth22(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth33beta3 = PDstandardNth33(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth12beta3 = PDstandardNth12(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth13beta3 = PDstandardNth13(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth23beta3 = PDstandardNth23(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(&trK[index]);
-    CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(&trK[index]);
-    CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(&trK[index]);
+    CCTK_REAL_VEC PDstandardNth1alpha;
+    CCTK_REAL_VEC PDstandardNth2alpha;
+    CCTK_REAL_VEC PDstandardNth3alpha;
+    CCTK_REAL_VEC PDstandardNth11alpha;
+    CCTK_REAL_VEC PDstandardNth22alpha;
+    CCTK_REAL_VEC PDstandardNth33alpha;
+    CCTK_REAL_VEC PDstandardNth12alpha;
+    CCTK_REAL_VEC PDstandardNth13alpha;
+    CCTK_REAL_VEC PDstandardNth23alpha;
+    CCTK_REAL_VEC PDstandardNth1beta1;
+    CCTK_REAL_VEC PDstandardNth2beta1;
+    CCTK_REAL_VEC PDstandardNth3beta1;
+    CCTK_REAL_VEC PDstandardNth11beta1;
+    CCTK_REAL_VEC PDstandardNth22beta1;
+    CCTK_REAL_VEC PDstandardNth33beta1;
+    CCTK_REAL_VEC PDstandardNth12beta1;
+    CCTK_REAL_VEC PDstandardNth13beta1;
+    CCTK_REAL_VEC PDstandardNth23beta1;
+    CCTK_REAL_VEC PDstandardNth1beta2;
+    CCTK_REAL_VEC PDstandardNth2beta2;
+    CCTK_REAL_VEC PDstandardNth3beta2;
+    CCTK_REAL_VEC PDstandardNth11beta2;
+    CCTK_REAL_VEC PDstandardNth22beta2;
+    CCTK_REAL_VEC PDstandardNth33beta2;
+    CCTK_REAL_VEC PDstandardNth12beta2;
+    CCTK_REAL_VEC PDstandardNth13beta2;
+    CCTK_REAL_VEC PDstandardNth23beta2;
+    CCTK_REAL_VEC PDstandardNth1beta3;
+    CCTK_REAL_VEC PDstandardNth2beta3;
+    CCTK_REAL_VEC PDstandardNth3beta3;
+    CCTK_REAL_VEC PDstandardNth11beta3;
+    CCTK_REAL_VEC PDstandardNth22beta3;
+    CCTK_REAL_VEC PDstandardNth33beta3;
+    CCTK_REAL_VEC PDstandardNth12beta3;
+    CCTK_REAL_VEC PDstandardNth13beta3;
+    CCTK_REAL_VEC PDstandardNth23beta3;
+    CCTK_REAL_VEC PDstandardNth1gt11;
+    CCTK_REAL_VEC PDstandardNth2gt11;
+    CCTK_REAL_VEC PDstandardNth3gt11;
+    CCTK_REAL_VEC PDstandardNth1gt12;
+    CCTK_REAL_VEC PDstandardNth2gt12;
+    CCTK_REAL_VEC PDstandardNth3gt12;
+    CCTK_REAL_VEC PDstandardNth1gt13;
+    CCTK_REAL_VEC PDstandardNth2gt13;
+    CCTK_REAL_VEC PDstandardNth3gt13;
+    CCTK_REAL_VEC PDstandardNth1gt22;
+    CCTK_REAL_VEC PDstandardNth2gt22;
+    CCTK_REAL_VEC PDstandardNth3gt22;
+    CCTK_REAL_VEC PDstandardNth1gt23;
+    CCTK_REAL_VEC PDstandardNth2gt23;
+    CCTK_REAL_VEC PDstandardNth3gt23;
+    CCTK_REAL_VEC PDstandardNth1gt33;
+    CCTK_REAL_VEC PDstandardNth2gt33;
+    CCTK_REAL_VEC PDstandardNth3gt33;
+    CCTK_REAL_VEC PDstandardNth1phi;
+    CCTK_REAL_VEC PDstandardNth2phi;
+    CCTK_REAL_VEC PDstandardNth3phi;
+    CCTK_REAL_VEC PDstandardNth1trK;
+    CCTK_REAL_VEC PDstandardNth2trK;
+    CCTK_REAL_VEC PDstandardNth3trK;
+    
+    switch(fdOrder)
+    {
+      case 2:
+        PDstandardNth1alpha = PDstandardNthfdOrder21(&alpha[index]);
+        PDstandardNth2alpha = PDstandardNthfdOrder22(&alpha[index]);
+        PDstandardNth3alpha = PDstandardNthfdOrder23(&alpha[index]);
+        PDstandardNth11alpha = PDstandardNthfdOrder211(&alpha[index]);
+        PDstandardNth22alpha = PDstandardNthfdOrder222(&alpha[index]);
+        PDstandardNth33alpha = PDstandardNthfdOrder233(&alpha[index]);
+        PDstandardNth12alpha = PDstandardNthfdOrder212(&alpha[index]);
+        PDstandardNth13alpha = PDstandardNthfdOrder213(&alpha[index]);
+        PDstandardNth23alpha = PDstandardNthfdOrder223(&alpha[index]);
+        PDstandardNth1beta1 = PDstandardNthfdOrder21(&beta1[index]);
+        PDstandardNth2beta1 = PDstandardNthfdOrder22(&beta1[index]);
+        PDstandardNth3beta1 = PDstandardNthfdOrder23(&beta1[index]);
+        PDstandardNth11beta1 = PDstandardNthfdOrder211(&beta1[index]);
+        PDstandardNth22beta1 = PDstandardNthfdOrder222(&beta1[index]);
+        PDstandardNth33beta1 = PDstandardNthfdOrder233(&beta1[index]);
+        PDstandardNth12beta1 = PDstandardNthfdOrder212(&beta1[index]);
+        PDstandardNth13beta1 = PDstandardNthfdOrder213(&beta1[index]);
+        PDstandardNth23beta1 = PDstandardNthfdOrder223(&beta1[index]);
+        PDstandardNth1beta2 = PDstandardNthfdOrder21(&beta2[index]);
+        PDstandardNth2beta2 = PDstandardNthfdOrder22(&beta2[index]);
+        PDstandardNth3beta2 = PDstandardNthfdOrder23(&beta2[index]);
+        PDstandardNth11beta2 = PDstandardNthfdOrder211(&beta2[index]);
+        PDstandardNth22beta2 = PDstandardNthfdOrder222(&beta2[index]);
+        PDstandardNth33beta2 = PDstandardNthfdOrder233(&beta2[index]);
+        PDstandardNth12beta2 = PDstandardNthfdOrder212(&beta2[index]);
+        PDstandardNth13beta2 = PDstandardNthfdOrder213(&beta2[index]);
+        PDstandardNth23beta2 = PDstandardNthfdOrder223(&beta2[index]);
+        PDstandardNth1beta3 = PDstandardNthfdOrder21(&beta3[index]);
+        PDstandardNth2beta3 = PDstandardNthfdOrder22(&beta3[index]);
+        PDstandardNth3beta3 = PDstandardNthfdOrder23(&beta3[index]);
+        PDstandardNth11beta3 = PDstandardNthfdOrder211(&beta3[index]);
+        PDstandardNth22beta3 = PDstandardNthfdOrder222(&beta3[index]);
+        PDstandardNth33beta3 = PDstandardNthfdOrder233(&beta3[index]);
+        PDstandardNth12beta3 = PDstandardNthfdOrder212(&beta3[index]);
+        PDstandardNth13beta3 = PDstandardNthfdOrder213(&beta3[index]);
+        PDstandardNth23beta3 = PDstandardNthfdOrder223(&beta3[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder21(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder22(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder23(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder21(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder22(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder23(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder21(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder22(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder23(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder21(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder22(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder23(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder21(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder22(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder23(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder21(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder22(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder23(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder21(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder22(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder23(&phi[index]);
+        PDstandardNth1trK = PDstandardNthfdOrder21(&trK[index]);
+        PDstandardNth2trK = PDstandardNthfdOrder22(&trK[index]);
+        PDstandardNth3trK = PDstandardNthfdOrder23(&trK[index]);
+        break;
+      
+      case 4:
+        PDstandardNth1alpha = PDstandardNthfdOrder41(&alpha[index]);
+        PDstandardNth2alpha = PDstandardNthfdOrder42(&alpha[index]);
+        PDstandardNth3alpha = PDstandardNthfdOrder43(&alpha[index]);
+        PDstandardNth11alpha = PDstandardNthfdOrder411(&alpha[index]);
+        PDstandardNth22alpha = PDstandardNthfdOrder422(&alpha[index]);
+        PDstandardNth33alpha = PDstandardNthfdOrder433(&alpha[index]);
+        PDstandardNth12alpha = PDstandardNthfdOrder412(&alpha[index]);
+        PDstandardNth13alpha = PDstandardNthfdOrder413(&alpha[index]);
+        PDstandardNth23alpha = PDstandardNthfdOrder423(&alpha[index]);
+        PDstandardNth1beta1 = PDstandardNthfdOrder41(&beta1[index]);
+        PDstandardNth2beta1 = PDstandardNthfdOrder42(&beta1[index]);
+        PDstandardNth3beta1 = PDstandardNthfdOrder43(&beta1[index]);
+        PDstandardNth11beta1 = PDstandardNthfdOrder411(&beta1[index]);
+        PDstandardNth22beta1 = PDstandardNthfdOrder422(&beta1[index]);
+        PDstandardNth33beta1 = PDstandardNthfdOrder433(&beta1[index]);
+        PDstandardNth12beta1 = PDstandardNthfdOrder412(&beta1[index]);
+        PDstandardNth13beta1 = PDstandardNthfdOrder413(&beta1[index]);
+        PDstandardNth23beta1 = PDstandardNthfdOrder423(&beta1[index]);
+        PDstandardNth1beta2 = PDstandardNthfdOrder41(&beta2[index]);
+        PDstandardNth2beta2 = PDstandardNthfdOrder42(&beta2[index]);
+        PDstandardNth3beta2 = PDstandardNthfdOrder43(&beta2[index]);
+        PDstandardNth11beta2 = PDstandardNthfdOrder411(&beta2[index]);
+        PDstandardNth22beta2 = PDstandardNthfdOrder422(&beta2[index]);
+        PDstandardNth33beta2 = PDstandardNthfdOrder433(&beta2[index]);
+        PDstandardNth12beta2 = PDstandardNthfdOrder412(&beta2[index]);
+        PDstandardNth13beta2 = PDstandardNthfdOrder413(&beta2[index]);
+        PDstandardNth23beta2 = PDstandardNthfdOrder423(&beta2[index]);
+        PDstandardNth1beta3 = PDstandardNthfdOrder41(&beta3[index]);
+        PDstandardNth2beta3 = PDstandardNthfdOrder42(&beta3[index]);
+        PDstandardNth3beta3 = PDstandardNthfdOrder43(&beta3[index]);
+        PDstandardNth11beta3 = PDstandardNthfdOrder411(&beta3[index]);
+        PDstandardNth22beta3 = PDstandardNthfdOrder422(&beta3[index]);
+        PDstandardNth33beta3 = PDstandardNthfdOrder433(&beta3[index]);
+        PDstandardNth12beta3 = PDstandardNthfdOrder412(&beta3[index]);
+        PDstandardNth13beta3 = PDstandardNthfdOrder413(&beta3[index]);
+        PDstandardNth23beta3 = PDstandardNthfdOrder423(&beta3[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder41(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder42(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder43(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder41(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder42(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder43(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder41(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder42(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder43(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder41(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder42(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder43(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder41(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder42(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder43(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder41(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder42(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder43(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder41(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder42(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder43(&phi[index]);
+        PDstandardNth1trK = PDstandardNthfdOrder41(&trK[index]);
+        PDstandardNth2trK = PDstandardNthfdOrder42(&trK[index]);
+        PDstandardNth3trK = PDstandardNthfdOrder43(&trK[index]);
+        break;
+      
+      case 6:
+        PDstandardNth1alpha = PDstandardNthfdOrder61(&alpha[index]);
+        PDstandardNth2alpha = PDstandardNthfdOrder62(&alpha[index]);
+        PDstandardNth3alpha = PDstandardNthfdOrder63(&alpha[index]);
+        PDstandardNth11alpha = PDstandardNthfdOrder611(&alpha[index]);
+        PDstandardNth22alpha = PDstandardNthfdOrder622(&alpha[index]);
+        PDstandardNth33alpha = PDstandardNthfdOrder633(&alpha[index]);
+        PDstandardNth12alpha = PDstandardNthfdOrder612(&alpha[index]);
+        PDstandardNth13alpha = PDstandardNthfdOrder613(&alpha[index]);
+        PDstandardNth23alpha = PDstandardNthfdOrder623(&alpha[index]);
+        PDstandardNth1beta1 = PDstandardNthfdOrder61(&beta1[index]);
+        PDstandardNth2beta1 = PDstandardNthfdOrder62(&beta1[index]);
+        PDstandardNth3beta1 = PDstandardNthfdOrder63(&beta1[index]);
+        PDstandardNth11beta1 = PDstandardNthfdOrder611(&beta1[index]);
+        PDstandardNth22beta1 = PDstandardNthfdOrder622(&beta1[index]);
+        PDstandardNth33beta1 = PDstandardNthfdOrder633(&beta1[index]);
+        PDstandardNth12beta1 = PDstandardNthfdOrder612(&beta1[index]);
+        PDstandardNth13beta1 = PDstandardNthfdOrder613(&beta1[index]);
+        PDstandardNth23beta1 = PDstandardNthfdOrder623(&beta1[index]);
+        PDstandardNth1beta2 = PDstandardNthfdOrder61(&beta2[index]);
+        PDstandardNth2beta2 = PDstandardNthfdOrder62(&beta2[index]);
+        PDstandardNth3beta2 = PDstandardNthfdOrder63(&beta2[index]);
+        PDstandardNth11beta2 = PDstandardNthfdOrder611(&beta2[index]);
+        PDstandardNth22beta2 = PDstandardNthfdOrder622(&beta2[index]);
+        PDstandardNth33beta2 = PDstandardNthfdOrder633(&beta2[index]);
+        PDstandardNth12beta2 = PDstandardNthfdOrder612(&beta2[index]);
+        PDstandardNth13beta2 = PDstandardNthfdOrder613(&beta2[index]);
+        PDstandardNth23beta2 = PDstandardNthfdOrder623(&beta2[index]);
+        PDstandardNth1beta3 = PDstandardNthfdOrder61(&beta3[index]);
+        PDstandardNth2beta3 = PDstandardNthfdOrder62(&beta3[index]);
+        PDstandardNth3beta3 = PDstandardNthfdOrder63(&beta3[index]);
+        PDstandardNth11beta3 = PDstandardNthfdOrder611(&beta3[index]);
+        PDstandardNth22beta3 = PDstandardNthfdOrder622(&beta3[index]);
+        PDstandardNth33beta3 = PDstandardNthfdOrder633(&beta3[index]);
+        PDstandardNth12beta3 = PDstandardNthfdOrder612(&beta3[index]);
+        PDstandardNth13beta3 = PDstandardNthfdOrder613(&beta3[index]);
+        PDstandardNth23beta3 = PDstandardNthfdOrder623(&beta3[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder61(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder62(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder63(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder61(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder62(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder63(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder61(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder62(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder63(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder61(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder62(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder63(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder61(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder62(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder63(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder61(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder62(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder63(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder61(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder62(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder63(&phi[index]);
+        PDstandardNth1trK = PDstandardNthfdOrder61(&trK[index]);
+        PDstandardNth2trK = PDstandardNthfdOrder62(&trK[index]);
+        PDstandardNth3trK = PDstandardNthfdOrder63(&trK[index]);
+        break;
+      
+      case 8:
+        PDstandardNth1alpha = PDstandardNthfdOrder81(&alpha[index]);
+        PDstandardNth2alpha = PDstandardNthfdOrder82(&alpha[index]);
+        PDstandardNth3alpha = PDstandardNthfdOrder83(&alpha[index]);
+        PDstandardNth11alpha = PDstandardNthfdOrder811(&alpha[index]);
+        PDstandardNth22alpha = PDstandardNthfdOrder822(&alpha[index]);
+        PDstandardNth33alpha = PDstandardNthfdOrder833(&alpha[index]);
+        PDstandardNth12alpha = PDstandardNthfdOrder812(&alpha[index]);
+        PDstandardNth13alpha = PDstandardNthfdOrder813(&alpha[index]);
+        PDstandardNth23alpha = PDstandardNthfdOrder823(&alpha[index]);
+        PDstandardNth1beta1 = PDstandardNthfdOrder81(&beta1[index]);
+        PDstandardNth2beta1 = PDstandardNthfdOrder82(&beta1[index]);
+        PDstandardNth3beta1 = PDstandardNthfdOrder83(&beta1[index]);
+        PDstandardNth11beta1 = PDstandardNthfdOrder811(&beta1[index]);
+        PDstandardNth22beta1 = PDstandardNthfdOrder822(&beta1[index]);
+        PDstandardNth33beta1 = PDstandardNthfdOrder833(&beta1[index]);
+        PDstandardNth12beta1 = PDstandardNthfdOrder812(&beta1[index]);
+        PDstandardNth13beta1 = PDstandardNthfdOrder813(&beta1[index]);
+        PDstandardNth23beta1 = PDstandardNthfdOrder823(&beta1[index]);
+        PDstandardNth1beta2 = PDstandardNthfdOrder81(&beta2[index]);
+        PDstandardNth2beta2 = PDstandardNthfdOrder82(&beta2[index]);
+        PDstandardNth3beta2 = PDstandardNthfdOrder83(&beta2[index]);
+        PDstandardNth11beta2 = PDstandardNthfdOrder811(&beta2[index]);
+        PDstandardNth22beta2 = PDstandardNthfdOrder822(&beta2[index]);
+        PDstandardNth33beta2 = PDstandardNthfdOrder833(&beta2[index]);
+        PDstandardNth12beta2 = PDstandardNthfdOrder812(&beta2[index]);
+        PDstandardNth13beta2 = PDstandardNthfdOrder813(&beta2[index]);
+        PDstandardNth23beta2 = PDstandardNthfdOrder823(&beta2[index]);
+        PDstandardNth1beta3 = PDstandardNthfdOrder81(&beta3[index]);
+        PDstandardNth2beta3 = PDstandardNthfdOrder82(&beta3[index]);
+        PDstandardNth3beta3 = PDstandardNthfdOrder83(&beta3[index]);
+        PDstandardNth11beta3 = PDstandardNthfdOrder811(&beta3[index]);
+        PDstandardNth22beta3 = PDstandardNthfdOrder822(&beta3[index]);
+        PDstandardNth33beta3 = PDstandardNthfdOrder833(&beta3[index]);
+        PDstandardNth12beta3 = PDstandardNthfdOrder812(&beta3[index]);
+        PDstandardNth13beta3 = PDstandardNthfdOrder813(&beta3[index]);
+        PDstandardNth23beta3 = PDstandardNthfdOrder823(&beta3[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder81(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder82(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder83(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder81(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder82(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder83(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder81(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder82(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder83(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder81(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder82(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder83(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder81(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder82(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder83(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder81(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder82(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder83(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder81(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder82(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder83(&phi[index]);
+        PDstandardNth1trK = PDstandardNthfdOrder81(&trK[index]);
+        PDstandardNth2trK = PDstandardNthfdOrder82(&trK[index]);
+        PDstandardNth3trK = PDstandardNthfdOrder83(&trK[index]);
+        break;
+    }
     
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC JacPDstandardNth11alpha;
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.cc b/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.cc
index 45766fc..4a3f4de 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.cc
@@ -55,7 +55,24 @@ static void ML_BSSN_MP_RHS2_Body(cGH const * restrict const cctkGH, int const di
   const char *groups[] = {"ML_BSSN_MP::ML_curv","ML_BSSN_MP::ML_curvrhs","ML_BSSN_MP::ML_Gamma","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_log_confac","ML_BSSN_MP::ML_metric","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_trace_curv"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_RHS2", 8, groups);
   
-  GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_RHS2", 2, 2, 2);
+  switch(fdOrder)
+  {
+    case 2:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_RHS2", 1, 1, 1);
+      break;
+    
+    case 4:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_RHS2", 2, 2, 2);
+      break;
+    
+    case 6:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_RHS2", 3, 3, 3);
+      break;
+    
+    case 8:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_RHS2", 4, 4, 4);
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -83,24 +100,84 @@ static void ML_BSSN_MP_RHS2_Body(cGH const * restrict const cctkGH, int const di
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -237,96 +314,471 @@ static void ML_BSSN_MP_RHS2_Body(cGH const * restrict const cctkGH, int const di
     /* Include user supplied include files */
     
     /* Precompute derivatives */
-    CCTK_REAL_VEC const PDstandardNth1alpha = PDstandardNth1(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth2alpha = PDstandardNth2(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth3alpha = PDstandardNth3(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth11alpha = PDstandardNth11(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth22alpha = PDstandardNth22(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth33alpha = PDstandardNth33(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth12alpha = PDstandardNth12(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth13alpha = PDstandardNth13(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth23alpha = PDstandardNth23(&alpha[index]);
-    CCTK_REAL_VEC const PDstandardNth1beta1 = PDstandardNth1(&beta1[index]);
-    CCTK_REAL_VEC const PDstandardNth2beta1 = PDstandardNth2(&beta1[index]);
-    CCTK_REAL_VEC const PDstandardNth3beta1 = PDstandardNth3(&beta1[index]);
-    CCTK_REAL_VEC const PDstandardNth1beta2 = PDstandardNth1(&beta2[index]);
-    CCTK_REAL_VEC const PDstandardNth2beta2 = PDstandardNth2(&beta2[index]);
-    CCTK_REAL_VEC const PDstandardNth3beta2 = PDstandardNth3(&beta2[index]);
-    CCTK_REAL_VEC const PDstandardNth1beta3 = PDstandardNth1(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth2beta3 = PDstandardNth2(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth3beta3 = PDstandardNth3(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth11phi = PDstandardNth11(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth22phi = PDstandardNth22(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth33phi = PDstandardNth33(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth12phi = PDstandardNth12(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth13phi = PDstandardNth13(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth23phi = PDstandardNth23(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(&Xt1[index]);
-    CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(&Xt1[index]);
-    CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(&Xt1[index]);
-    CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(&Xt2[index]);
-    CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(&Xt2[index]);
-    CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(&Xt2[index]);
-    CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(&Xt3[index]);
-    CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(&Xt3[index]);
-    CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(&Xt3[index]);
+    CCTK_REAL_VEC PDstandardNth1alpha;
+    CCTK_REAL_VEC PDstandardNth2alpha;
+    CCTK_REAL_VEC PDstandardNth3alpha;
+    CCTK_REAL_VEC PDstandardNth11alpha;
+    CCTK_REAL_VEC PDstandardNth22alpha;
+    CCTK_REAL_VEC PDstandardNth33alpha;
+    CCTK_REAL_VEC PDstandardNth12alpha;
+    CCTK_REAL_VEC PDstandardNth13alpha;
+    CCTK_REAL_VEC PDstandardNth23alpha;
+    CCTK_REAL_VEC PDstandardNth1beta1;
+    CCTK_REAL_VEC PDstandardNth2beta1;
+    CCTK_REAL_VEC PDstandardNth3beta1;
+    CCTK_REAL_VEC PDstandardNth1beta2;
+    CCTK_REAL_VEC PDstandardNth2beta2;
+    CCTK_REAL_VEC PDstandardNth3beta2;
+    CCTK_REAL_VEC PDstandardNth1beta3;
+    CCTK_REAL_VEC PDstandardNth2beta3;
+    CCTK_REAL_VEC PDstandardNth3beta3;
+    CCTK_REAL_VEC PDstandardNth1gt11;
+    CCTK_REAL_VEC PDstandardNth2gt11;
+    CCTK_REAL_VEC PDstandardNth3gt11;
+    CCTK_REAL_VEC PDstandardNth11gt11;
+    CCTK_REAL_VEC PDstandardNth22gt11;
+    CCTK_REAL_VEC PDstandardNth33gt11;
+    CCTK_REAL_VEC PDstandardNth12gt11;
+    CCTK_REAL_VEC PDstandardNth13gt11;
+    CCTK_REAL_VEC PDstandardNth23gt11;
+    CCTK_REAL_VEC PDstandardNth1gt12;
+    CCTK_REAL_VEC PDstandardNth2gt12;
+    CCTK_REAL_VEC PDstandardNth3gt12;
+    CCTK_REAL_VEC PDstandardNth11gt12;
+    CCTK_REAL_VEC PDstandardNth22gt12;
+    CCTK_REAL_VEC PDstandardNth33gt12;
+    CCTK_REAL_VEC PDstandardNth12gt12;
+    CCTK_REAL_VEC PDstandardNth13gt12;
+    CCTK_REAL_VEC PDstandardNth23gt12;
+    CCTK_REAL_VEC PDstandardNth1gt13;
+    CCTK_REAL_VEC PDstandardNth2gt13;
+    CCTK_REAL_VEC PDstandardNth3gt13;
+    CCTK_REAL_VEC PDstandardNth11gt13;
+    CCTK_REAL_VEC PDstandardNth22gt13;
+    CCTK_REAL_VEC PDstandardNth33gt13;
+    CCTK_REAL_VEC PDstandardNth12gt13;
+    CCTK_REAL_VEC PDstandardNth13gt13;
+    CCTK_REAL_VEC PDstandardNth23gt13;
+    CCTK_REAL_VEC PDstandardNth1gt22;
+    CCTK_REAL_VEC PDstandardNth2gt22;
+    CCTK_REAL_VEC PDstandardNth3gt22;
+    CCTK_REAL_VEC PDstandardNth11gt22;
+    CCTK_REAL_VEC PDstandardNth22gt22;
+    CCTK_REAL_VEC PDstandardNth33gt22;
+    CCTK_REAL_VEC PDstandardNth12gt22;
+    CCTK_REAL_VEC PDstandardNth13gt22;
+    CCTK_REAL_VEC PDstandardNth23gt22;
+    CCTK_REAL_VEC PDstandardNth1gt23;
+    CCTK_REAL_VEC PDstandardNth2gt23;
+    CCTK_REAL_VEC PDstandardNth3gt23;
+    CCTK_REAL_VEC PDstandardNth11gt23;
+    CCTK_REAL_VEC PDstandardNth22gt23;
+    CCTK_REAL_VEC PDstandardNth33gt23;
+    CCTK_REAL_VEC PDstandardNth12gt23;
+    CCTK_REAL_VEC PDstandardNth13gt23;
+    CCTK_REAL_VEC PDstandardNth23gt23;
+    CCTK_REAL_VEC PDstandardNth1gt33;
+    CCTK_REAL_VEC PDstandardNth2gt33;
+    CCTK_REAL_VEC PDstandardNth3gt33;
+    CCTK_REAL_VEC PDstandardNth11gt33;
+    CCTK_REAL_VEC PDstandardNth22gt33;
+    CCTK_REAL_VEC PDstandardNth33gt33;
+    CCTK_REAL_VEC PDstandardNth12gt33;
+    CCTK_REAL_VEC PDstandardNth13gt33;
+    CCTK_REAL_VEC PDstandardNth23gt33;
+    CCTK_REAL_VEC PDstandardNth1phi;
+    CCTK_REAL_VEC PDstandardNth2phi;
+    CCTK_REAL_VEC PDstandardNth3phi;
+    CCTK_REAL_VEC PDstandardNth11phi;
+    CCTK_REAL_VEC PDstandardNth22phi;
+    CCTK_REAL_VEC PDstandardNth33phi;
+    CCTK_REAL_VEC PDstandardNth12phi;
+    CCTK_REAL_VEC PDstandardNth13phi;
+    CCTK_REAL_VEC PDstandardNth23phi;
+    CCTK_REAL_VEC PDstandardNth1Xt1;
+    CCTK_REAL_VEC PDstandardNth2Xt1;
+    CCTK_REAL_VEC PDstandardNth3Xt1;
+    CCTK_REAL_VEC PDstandardNth1Xt2;
+    CCTK_REAL_VEC PDstandardNth2Xt2;
+    CCTK_REAL_VEC PDstandardNth3Xt2;
+    CCTK_REAL_VEC PDstandardNth1Xt3;
+    CCTK_REAL_VEC PDstandardNth2Xt3;
+    CCTK_REAL_VEC PDstandardNth3Xt3;
+    
+    switch(fdOrder)
+    {
+      case 2:
+        PDstandardNth1alpha = PDstandardNthfdOrder21(&alpha[index]);
+        PDstandardNth2alpha = PDstandardNthfdOrder22(&alpha[index]);
+        PDstandardNth3alpha = PDstandardNthfdOrder23(&alpha[index]);
+        PDstandardNth11alpha = PDstandardNthfdOrder211(&alpha[index]);
+        PDstandardNth22alpha = PDstandardNthfdOrder222(&alpha[index]);
+        PDstandardNth33alpha = PDstandardNthfdOrder233(&alpha[index]);
+        PDstandardNth12alpha = PDstandardNthfdOrder212(&alpha[index]);
+        PDstandardNth13alpha = PDstandardNthfdOrder213(&alpha[index]);
+        PDstandardNth23alpha = PDstandardNthfdOrder223(&alpha[index]);
+        PDstandardNth1beta1 = PDstandardNthfdOrder21(&beta1[index]);
+        PDstandardNth2beta1 = PDstandardNthfdOrder22(&beta1[index]);
+        PDstandardNth3beta1 = PDstandardNthfdOrder23(&beta1[index]);
+        PDstandardNth1beta2 = PDstandardNthfdOrder21(&beta2[index]);
+        PDstandardNth2beta2 = PDstandardNthfdOrder22(&beta2[index]);
+        PDstandardNth3beta2 = PDstandardNthfdOrder23(&beta2[index]);
+        PDstandardNth1beta3 = PDstandardNthfdOrder21(&beta3[index]);
+        PDstandardNth2beta3 = PDstandardNthfdOrder22(&beta3[index]);
+        PDstandardNth3beta3 = PDstandardNthfdOrder23(&beta3[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder21(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder22(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder23(&gt11[index]);
+        PDstandardNth11gt11 = PDstandardNthfdOrder211(&gt11[index]);
+        PDstandardNth22gt11 = PDstandardNthfdOrder222(&gt11[index]);
+        PDstandardNth33gt11 = PDstandardNthfdOrder233(&gt11[index]);
+        PDstandardNth12gt11 = PDstandardNthfdOrder212(&gt11[index]);
+        PDstandardNth13gt11 = PDstandardNthfdOrder213(&gt11[index]);
+        PDstandardNth23gt11 = PDstandardNthfdOrder223(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder21(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder22(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder23(&gt12[index]);
+        PDstandardNth11gt12 = PDstandardNthfdOrder211(&gt12[index]);
+        PDstandardNth22gt12 = PDstandardNthfdOrder222(&gt12[index]);
+        PDstandardNth33gt12 = PDstandardNthfdOrder233(&gt12[index]);
+        PDstandardNth12gt12 = PDstandardNthfdOrder212(&gt12[index]);
+        PDstandardNth13gt12 = PDstandardNthfdOrder213(&gt12[index]);
+        PDstandardNth23gt12 = PDstandardNthfdOrder223(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder21(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder22(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder23(&gt13[index]);
+        PDstandardNth11gt13 = PDstandardNthfdOrder211(&gt13[index]);
+        PDstandardNth22gt13 = PDstandardNthfdOrder222(&gt13[index]);
+        PDstandardNth33gt13 = PDstandardNthfdOrder233(&gt13[index]);
+        PDstandardNth12gt13 = PDstandardNthfdOrder212(&gt13[index]);
+        PDstandardNth13gt13 = PDstandardNthfdOrder213(&gt13[index]);
+        PDstandardNth23gt13 = PDstandardNthfdOrder223(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder21(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder22(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder23(&gt22[index]);
+        PDstandardNth11gt22 = PDstandardNthfdOrder211(&gt22[index]);
+        PDstandardNth22gt22 = PDstandardNthfdOrder222(&gt22[index]);
+        PDstandardNth33gt22 = PDstandardNthfdOrder233(&gt22[index]);
+        PDstandardNth12gt22 = PDstandardNthfdOrder212(&gt22[index]);
+        PDstandardNth13gt22 = PDstandardNthfdOrder213(&gt22[index]);
+        PDstandardNth23gt22 = PDstandardNthfdOrder223(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder21(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder22(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder23(&gt23[index]);
+        PDstandardNth11gt23 = PDstandardNthfdOrder211(&gt23[index]);
+        PDstandardNth22gt23 = PDstandardNthfdOrder222(&gt23[index]);
+        PDstandardNth33gt23 = PDstandardNthfdOrder233(&gt23[index]);
+        PDstandardNth12gt23 = PDstandardNthfdOrder212(&gt23[index]);
+        PDstandardNth13gt23 = PDstandardNthfdOrder213(&gt23[index]);
+        PDstandardNth23gt23 = PDstandardNthfdOrder223(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder21(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder22(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder23(&gt33[index]);
+        PDstandardNth11gt33 = PDstandardNthfdOrder211(&gt33[index]);
+        PDstandardNth22gt33 = PDstandardNthfdOrder222(&gt33[index]);
+        PDstandardNth33gt33 = PDstandardNthfdOrder233(&gt33[index]);
+        PDstandardNth12gt33 = PDstandardNthfdOrder212(&gt33[index]);
+        PDstandardNth13gt33 = PDstandardNthfdOrder213(&gt33[index]);
+        PDstandardNth23gt33 = PDstandardNthfdOrder223(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder21(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder22(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder23(&phi[index]);
+        PDstandardNth11phi = PDstandardNthfdOrder211(&phi[index]);
+        PDstandardNth22phi = PDstandardNthfdOrder222(&phi[index]);
+        PDstandardNth33phi = PDstandardNthfdOrder233(&phi[index]);
+        PDstandardNth12phi = PDstandardNthfdOrder212(&phi[index]);
+        PDstandardNth13phi = PDstandardNthfdOrder213(&phi[index]);
+        PDstandardNth23phi = PDstandardNthfdOrder223(&phi[index]);
+        PDstandardNth1Xt1 = PDstandardNthfdOrder21(&Xt1[index]);
+        PDstandardNth2Xt1 = PDstandardNthfdOrder22(&Xt1[index]);
+        PDstandardNth3Xt1 = PDstandardNthfdOrder23(&Xt1[index]);
+        PDstandardNth1Xt2 = PDstandardNthfdOrder21(&Xt2[index]);
+        PDstandardNth2Xt2 = PDstandardNthfdOrder22(&Xt2[index]);
+        PDstandardNth3Xt2 = PDstandardNthfdOrder23(&Xt2[index]);
+        PDstandardNth1Xt3 = PDstandardNthfdOrder21(&Xt3[index]);
+        PDstandardNth2Xt3 = PDstandardNthfdOrder22(&Xt3[index]);
+        PDstandardNth3Xt3 = PDstandardNthfdOrder23(&Xt3[index]);
+        break;
+      
+      case 4:
+        PDstandardNth1alpha = PDstandardNthfdOrder41(&alpha[index]);
+        PDstandardNth2alpha = PDstandardNthfdOrder42(&alpha[index]);
+        PDstandardNth3alpha = PDstandardNthfdOrder43(&alpha[index]);
+        PDstandardNth11alpha = PDstandardNthfdOrder411(&alpha[index]);
+        PDstandardNth22alpha = PDstandardNthfdOrder422(&alpha[index]);
+        PDstandardNth33alpha = PDstandardNthfdOrder433(&alpha[index]);
+        PDstandardNth12alpha = PDstandardNthfdOrder412(&alpha[index]);
+        PDstandardNth13alpha = PDstandardNthfdOrder413(&alpha[index]);
+        PDstandardNth23alpha = PDstandardNthfdOrder423(&alpha[index]);
+        PDstandardNth1beta1 = PDstandardNthfdOrder41(&beta1[index]);
+        PDstandardNth2beta1 = PDstandardNthfdOrder42(&beta1[index]);
+        PDstandardNth3beta1 = PDstandardNthfdOrder43(&beta1[index]);
+        PDstandardNth1beta2 = PDstandardNthfdOrder41(&beta2[index]);
+        PDstandardNth2beta2 = PDstandardNthfdOrder42(&beta2[index]);
+        PDstandardNth3beta2 = PDstandardNthfdOrder43(&beta2[index]);
+        PDstandardNth1beta3 = PDstandardNthfdOrder41(&beta3[index]);
+        PDstandardNth2beta3 = PDstandardNthfdOrder42(&beta3[index]);
+        PDstandardNth3beta3 = PDstandardNthfdOrder43(&beta3[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder41(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder42(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder43(&gt11[index]);
+        PDstandardNth11gt11 = PDstandardNthfdOrder411(&gt11[index]);
+        PDstandardNth22gt11 = PDstandardNthfdOrder422(&gt11[index]);
+        PDstandardNth33gt11 = PDstandardNthfdOrder433(&gt11[index]);
+        PDstandardNth12gt11 = PDstandardNthfdOrder412(&gt11[index]);
+        PDstandardNth13gt11 = PDstandardNthfdOrder413(&gt11[index]);
+        PDstandardNth23gt11 = PDstandardNthfdOrder423(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder41(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder42(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder43(&gt12[index]);
+        PDstandardNth11gt12 = PDstandardNthfdOrder411(&gt12[index]);
+        PDstandardNth22gt12 = PDstandardNthfdOrder422(&gt12[index]);
+        PDstandardNth33gt12 = PDstandardNthfdOrder433(&gt12[index]);
+        PDstandardNth12gt12 = PDstandardNthfdOrder412(&gt12[index]);
+        PDstandardNth13gt12 = PDstandardNthfdOrder413(&gt12[index]);
+        PDstandardNth23gt12 = PDstandardNthfdOrder423(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder41(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder42(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder43(&gt13[index]);
+        PDstandardNth11gt13 = PDstandardNthfdOrder411(&gt13[index]);
+        PDstandardNth22gt13 = PDstandardNthfdOrder422(&gt13[index]);
+        PDstandardNth33gt13 = PDstandardNthfdOrder433(&gt13[index]);
+        PDstandardNth12gt13 = PDstandardNthfdOrder412(&gt13[index]);
+        PDstandardNth13gt13 = PDstandardNthfdOrder413(&gt13[index]);
+        PDstandardNth23gt13 = PDstandardNthfdOrder423(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder41(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder42(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder43(&gt22[index]);
+        PDstandardNth11gt22 = PDstandardNthfdOrder411(&gt22[index]);
+        PDstandardNth22gt22 = PDstandardNthfdOrder422(&gt22[index]);
+        PDstandardNth33gt22 = PDstandardNthfdOrder433(&gt22[index]);
+        PDstandardNth12gt22 = PDstandardNthfdOrder412(&gt22[index]);
+        PDstandardNth13gt22 = PDstandardNthfdOrder413(&gt22[index]);
+        PDstandardNth23gt22 = PDstandardNthfdOrder423(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder41(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder42(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder43(&gt23[index]);
+        PDstandardNth11gt23 = PDstandardNthfdOrder411(&gt23[index]);
+        PDstandardNth22gt23 = PDstandardNthfdOrder422(&gt23[index]);
+        PDstandardNth33gt23 = PDstandardNthfdOrder433(&gt23[index]);
+        PDstandardNth12gt23 = PDstandardNthfdOrder412(&gt23[index]);
+        PDstandardNth13gt23 = PDstandardNthfdOrder413(&gt23[index]);
+        PDstandardNth23gt23 = PDstandardNthfdOrder423(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder41(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder42(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder43(&gt33[index]);
+        PDstandardNth11gt33 = PDstandardNthfdOrder411(&gt33[index]);
+        PDstandardNth22gt33 = PDstandardNthfdOrder422(&gt33[index]);
+        PDstandardNth33gt33 = PDstandardNthfdOrder433(&gt33[index]);
+        PDstandardNth12gt33 = PDstandardNthfdOrder412(&gt33[index]);
+        PDstandardNth13gt33 = PDstandardNthfdOrder413(&gt33[index]);
+        PDstandardNth23gt33 = PDstandardNthfdOrder423(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder41(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder42(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder43(&phi[index]);
+        PDstandardNth11phi = PDstandardNthfdOrder411(&phi[index]);
+        PDstandardNth22phi = PDstandardNthfdOrder422(&phi[index]);
+        PDstandardNth33phi = PDstandardNthfdOrder433(&phi[index]);
+        PDstandardNth12phi = PDstandardNthfdOrder412(&phi[index]);
+        PDstandardNth13phi = PDstandardNthfdOrder413(&phi[index]);
+        PDstandardNth23phi = PDstandardNthfdOrder423(&phi[index]);
+        PDstandardNth1Xt1 = PDstandardNthfdOrder41(&Xt1[index]);
+        PDstandardNth2Xt1 = PDstandardNthfdOrder42(&Xt1[index]);
+        PDstandardNth3Xt1 = PDstandardNthfdOrder43(&Xt1[index]);
+        PDstandardNth1Xt2 = PDstandardNthfdOrder41(&Xt2[index]);
+        PDstandardNth2Xt2 = PDstandardNthfdOrder42(&Xt2[index]);
+        PDstandardNth3Xt2 = PDstandardNthfdOrder43(&Xt2[index]);
+        PDstandardNth1Xt3 = PDstandardNthfdOrder41(&Xt3[index]);
+        PDstandardNth2Xt3 = PDstandardNthfdOrder42(&Xt3[index]);
+        PDstandardNth3Xt3 = PDstandardNthfdOrder43(&Xt3[index]);
+        break;
+      
+      case 6:
+        PDstandardNth1alpha = PDstandardNthfdOrder61(&alpha[index]);
+        PDstandardNth2alpha = PDstandardNthfdOrder62(&alpha[index]);
+        PDstandardNth3alpha = PDstandardNthfdOrder63(&alpha[index]);
+        PDstandardNth11alpha = PDstandardNthfdOrder611(&alpha[index]);
+        PDstandardNth22alpha = PDstandardNthfdOrder622(&alpha[index]);
+        PDstandardNth33alpha = PDstandardNthfdOrder633(&alpha[index]);
+        PDstandardNth12alpha = PDstandardNthfdOrder612(&alpha[index]);
+        PDstandardNth13alpha = PDstandardNthfdOrder613(&alpha[index]);
+        PDstandardNth23alpha = PDstandardNthfdOrder623(&alpha[index]);
+        PDstandardNth1beta1 = PDstandardNthfdOrder61(&beta1[index]);
+        PDstandardNth2beta1 = PDstandardNthfdOrder62(&beta1[index]);
+        PDstandardNth3beta1 = PDstandardNthfdOrder63(&beta1[index]);
+        PDstandardNth1beta2 = PDstandardNthfdOrder61(&beta2[index]);
+        PDstandardNth2beta2 = PDstandardNthfdOrder62(&beta2[index]);
+        PDstandardNth3beta2 = PDstandardNthfdOrder63(&beta2[index]);
+        PDstandardNth1beta3 = PDstandardNthfdOrder61(&beta3[index]);
+        PDstandardNth2beta3 = PDstandardNthfdOrder62(&beta3[index]);
+        PDstandardNth3beta3 = PDstandardNthfdOrder63(&beta3[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder61(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder62(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder63(&gt11[index]);
+        PDstandardNth11gt11 = PDstandardNthfdOrder611(&gt11[index]);
+        PDstandardNth22gt11 = PDstandardNthfdOrder622(&gt11[index]);
+        PDstandardNth33gt11 = PDstandardNthfdOrder633(&gt11[index]);
+        PDstandardNth12gt11 = PDstandardNthfdOrder612(&gt11[index]);
+        PDstandardNth13gt11 = PDstandardNthfdOrder613(&gt11[index]);
+        PDstandardNth23gt11 = PDstandardNthfdOrder623(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder61(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder62(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder63(&gt12[index]);
+        PDstandardNth11gt12 = PDstandardNthfdOrder611(&gt12[index]);
+        PDstandardNth22gt12 = PDstandardNthfdOrder622(&gt12[index]);
+        PDstandardNth33gt12 = PDstandardNthfdOrder633(&gt12[index]);
+        PDstandardNth12gt12 = PDstandardNthfdOrder612(&gt12[index]);
+        PDstandardNth13gt12 = PDstandardNthfdOrder613(&gt12[index]);
+        PDstandardNth23gt12 = PDstandardNthfdOrder623(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder61(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder62(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder63(&gt13[index]);
+        PDstandardNth11gt13 = PDstandardNthfdOrder611(&gt13[index]);
+        PDstandardNth22gt13 = PDstandardNthfdOrder622(&gt13[index]);
+        PDstandardNth33gt13 = PDstandardNthfdOrder633(&gt13[index]);
+        PDstandardNth12gt13 = PDstandardNthfdOrder612(&gt13[index]);
+        PDstandardNth13gt13 = PDstandardNthfdOrder613(&gt13[index]);
+        PDstandardNth23gt13 = PDstandardNthfdOrder623(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder61(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder62(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder63(&gt22[index]);
+        PDstandardNth11gt22 = PDstandardNthfdOrder611(&gt22[index]);
+        PDstandardNth22gt22 = PDstandardNthfdOrder622(&gt22[index]);
+        PDstandardNth33gt22 = PDstandardNthfdOrder633(&gt22[index]);
+        PDstandardNth12gt22 = PDstandardNthfdOrder612(&gt22[index]);
+        PDstandardNth13gt22 = PDstandardNthfdOrder613(&gt22[index]);
+        PDstandardNth23gt22 = PDstandardNthfdOrder623(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder61(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder62(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder63(&gt23[index]);
+        PDstandardNth11gt23 = PDstandardNthfdOrder611(&gt23[index]);
+        PDstandardNth22gt23 = PDstandardNthfdOrder622(&gt23[index]);
+        PDstandardNth33gt23 = PDstandardNthfdOrder633(&gt23[index]);
+        PDstandardNth12gt23 = PDstandardNthfdOrder612(&gt23[index]);
+        PDstandardNth13gt23 = PDstandardNthfdOrder613(&gt23[index]);
+        PDstandardNth23gt23 = PDstandardNthfdOrder623(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder61(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder62(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder63(&gt33[index]);
+        PDstandardNth11gt33 = PDstandardNthfdOrder611(&gt33[index]);
+        PDstandardNth22gt33 = PDstandardNthfdOrder622(&gt33[index]);
+        PDstandardNth33gt33 = PDstandardNthfdOrder633(&gt33[index]);
+        PDstandardNth12gt33 = PDstandardNthfdOrder612(&gt33[index]);
+        PDstandardNth13gt33 = PDstandardNthfdOrder613(&gt33[index]);
+        PDstandardNth23gt33 = PDstandardNthfdOrder623(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder61(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder62(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder63(&phi[index]);
+        PDstandardNth11phi = PDstandardNthfdOrder611(&phi[index]);
+        PDstandardNth22phi = PDstandardNthfdOrder622(&phi[index]);
+        PDstandardNth33phi = PDstandardNthfdOrder633(&phi[index]);
+        PDstandardNth12phi = PDstandardNthfdOrder612(&phi[index]);
+        PDstandardNth13phi = PDstandardNthfdOrder613(&phi[index]);
+        PDstandardNth23phi = PDstandardNthfdOrder623(&phi[index]);
+        PDstandardNth1Xt1 = PDstandardNthfdOrder61(&Xt1[index]);
+        PDstandardNth2Xt1 = PDstandardNthfdOrder62(&Xt1[index]);
+        PDstandardNth3Xt1 = PDstandardNthfdOrder63(&Xt1[index]);
+        PDstandardNth1Xt2 = PDstandardNthfdOrder61(&Xt2[index]);
+        PDstandardNth2Xt2 = PDstandardNthfdOrder62(&Xt2[index]);
+        PDstandardNth3Xt2 = PDstandardNthfdOrder63(&Xt2[index]);
+        PDstandardNth1Xt3 = PDstandardNthfdOrder61(&Xt3[index]);
+        PDstandardNth2Xt3 = PDstandardNthfdOrder62(&Xt3[index]);
+        PDstandardNth3Xt3 = PDstandardNthfdOrder63(&Xt3[index]);
+        break;
+      
+      case 8:
+        PDstandardNth1alpha = PDstandardNthfdOrder81(&alpha[index]);
+        PDstandardNth2alpha = PDstandardNthfdOrder82(&alpha[index]);
+        PDstandardNth3alpha = PDstandardNthfdOrder83(&alpha[index]);
+        PDstandardNth11alpha = PDstandardNthfdOrder811(&alpha[index]);
+        PDstandardNth22alpha = PDstandardNthfdOrder822(&alpha[index]);
+        PDstandardNth33alpha = PDstandardNthfdOrder833(&alpha[index]);
+        PDstandardNth12alpha = PDstandardNthfdOrder812(&alpha[index]);
+        PDstandardNth13alpha = PDstandardNthfdOrder813(&alpha[index]);
+        PDstandardNth23alpha = PDstandardNthfdOrder823(&alpha[index]);
+        PDstandardNth1beta1 = PDstandardNthfdOrder81(&beta1[index]);
+        PDstandardNth2beta1 = PDstandardNthfdOrder82(&beta1[index]);
+        PDstandardNth3beta1 = PDstandardNthfdOrder83(&beta1[index]);
+        PDstandardNth1beta2 = PDstandardNthfdOrder81(&beta2[index]);
+        PDstandardNth2beta2 = PDstandardNthfdOrder82(&beta2[index]);
+        PDstandardNth3beta2 = PDstandardNthfdOrder83(&beta2[index]);
+        PDstandardNth1beta3 = PDstandardNthfdOrder81(&beta3[index]);
+        PDstandardNth2beta3 = PDstandardNthfdOrder82(&beta3[index]);
+        PDstandardNth3beta3 = PDstandardNthfdOrder83(&beta3[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder81(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder82(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder83(&gt11[index]);
+        PDstandardNth11gt11 = PDstandardNthfdOrder811(&gt11[index]);
+        PDstandardNth22gt11 = PDstandardNthfdOrder822(&gt11[index]);
+        PDstandardNth33gt11 = PDstandardNthfdOrder833(&gt11[index]);
+        PDstandardNth12gt11 = PDstandardNthfdOrder812(&gt11[index]);
+        PDstandardNth13gt11 = PDstandardNthfdOrder813(&gt11[index]);
+        PDstandardNth23gt11 = PDstandardNthfdOrder823(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder81(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder82(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder83(&gt12[index]);
+        PDstandardNth11gt12 = PDstandardNthfdOrder811(&gt12[index]);
+        PDstandardNth22gt12 = PDstandardNthfdOrder822(&gt12[index]);
+        PDstandardNth33gt12 = PDstandardNthfdOrder833(&gt12[index]);
+        PDstandardNth12gt12 = PDstandardNthfdOrder812(&gt12[index]);
+        PDstandardNth13gt12 = PDstandardNthfdOrder813(&gt12[index]);
+        PDstandardNth23gt12 = PDstandardNthfdOrder823(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder81(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder82(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder83(&gt13[index]);
+        PDstandardNth11gt13 = PDstandardNthfdOrder811(&gt13[index]);
+        PDstandardNth22gt13 = PDstandardNthfdOrder822(&gt13[index]);
+        PDstandardNth33gt13 = PDstandardNthfdOrder833(&gt13[index]);
+        PDstandardNth12gt13 = PDstandardNthfdOrder812(&gt13[index]);
+        PDstandardNth13gt13 = PDstandardNthfdOrder813(&gt13[index]);
+        PDstandardNth23gt13 = PDstandardNthfdOrder823(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder81(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder82(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder83(&gt22[index]);
+        PDstandardNth11gt22 = PDstandardNthfdOrder811(&gt22[index]);
+        PDstandardNth22gt22 = PDstandardNthfdOrder822(&gt22[index]);
+        PDstandardNth33gt22 = PDstandardNthfdOrder833(&gt22[index]);
+        PDstandardNth12gt22 = PDstandardNthfdOrder812(&gt22[index]);
+        PDstandardNth13gt22 = PDstandardNthfdOrder813(&gt22[index]);
+        PDstandardNth23gt22 = PDstandardNthfdOrder823(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder81(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder82(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder83(&gt23[index]);
+        PDstandardNth11gt23 = PDstandardNthfdOrder811(&gt23[index]);
+        PDstandardNth22gt23 = PDstandardNthfdOrder822(&gt23[index]);
+        PDstandardNth33gt23 = PDstandardNthfdOrder833(&gt23[index]);
+        PDstandardNth12gt23 = PDstandardNthfdOrder812(&gt23[index]);
+        PDstandardNth13gt23 = PDstandardNthfdOrder813(&gt23[index]);
+        PDstandardNth23gt23 = PDstandardNthfdOrder823(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder81(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder82(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder83(&gt33[index]);
+        PDstandardNth11gt33 = PDstandardNthfdOrder811(&gt33[index]);
+        PDstandardNth22gt33 = PDstandardNthfdOrder822(&gt33[index]);
+        PDstandardNth33gt33 = PDstandardNthfdOrder833(&gt33[index]);
+        PDstandardNth12gt33 = PDstandardNthfdOrder812(&gt33[index]);
+        PDstandardNth13gt33 = PDstandardNthfdOrder813(&gt33[index]);
+        PDstandardNth23gt33 = PDstandardNthfdOrder823(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder81(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder82(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder83(&phi[index]);
+        PDstandardNth11phi = PDstandardNthfdOrder811(&phi[index]);
+        PDstandardNth22phi = PDstandardNthfdOrder822(&phi[index]);
+        PDstandardNth33phi = PDstandardNthfdOrder833(&phi[index]);
+        PDstandardNth12phi = PDstandardNthfdOrder812(&phi[index]);
+        PDstandardNth13phi = PDstandardNthfdOrder813(&phi[index]);
+        PDstandardNth23phi = PDstandardNthfdOrder823(&phi[index]);
+        PDstandardNth1Xt1 = PDstandardNthfdOrder81(&Xt1[index]);
+        PDstandardNth2Xt1 = PDstandardNthfdOrder82(&Xt1[index]);
+        PDstandardNth3Xt1 = PDstandardNthfdOrder83(&Xt1[index]);
+        PDstandardNth1Xt2 = PDstandardNthfdOrder81(&Xt2[index]);
+        PDstandardNth2Xt2 = PDstandardNthfdOrder82(&Xt2[index]);
+        PDstandardNth3Xt2 = PDstandardNthfdOrder83(&Xt2[index]);
+        PDstandardNth1Xt3 = PDstandardNthfdOrder81(&Xt3[index]);
+        PDstandardNth2Xt3 = PDstandardNthfdOrder82(&Xt3[index]);
+        PDstandardNth3Xt3 = PDstandardNthfdOrder83(&Xt3[index]);
+        break;
+    }
     
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC JacPDstandardNth11alpha;
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHSStaticBoundary.cc b/ML_BSSN_MP/src/ML_BSSN_MP_RHSStaticBoundary.cc
index c67aaf5..f66fc03 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_RHSStaticBoundary.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_RHSStaticBoundary.cc
@@ -79,6 +79,20 @@ static void ML_BSSN_MP_RHSStaticBoundary_Body(cGH const * restrict const cctkGH,
   const char *groups[] = {"ML_BSSN_MP::ML_curvrhs","ML_BSSN_MP::ML_dtlapserhs","ML_BSSN_MP::ML_dtshiftrhs","ML_BSSN_MP::ML_Gammarhs","ML_BSSN_MP::ML_lapserhs","ML_BSSN_MP::ML_log_confacrhs","ML_BSSN_MP::ML_metricrhs","ML_BSSN_MP::ML_shiftrhs","ML_BSSN_MP::ML_trace_curvrhs"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_RHSStaticBoundary", 9, groups);
   
+  switch(fdOrder)
+  {
+    case 2:
+      break;
+    
+    case 4:
+      break;
+    
+    case 6:
+      break;
+    
+    case 8:
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -106,24 +120,84 @@ static void ML_BSSN_MP_RHSStaticBoundary_Body(cGH const * restrict const cctkGH,
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -188,6 +262,21 @@ static void ML_BSSN_MP_RHSStaticBoundary_Body(cGH const * restrict const cctkGH,
     
     /* Precompute derivatives */
     
+    switch(fdOrder)
+    {
+      case 2:
+        break;
+      
+      case 4:
+        break;
+      
+      case 6:
+        break;
+      
+      case 8:
+        break;
+    }
+    
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC phirhsL = ToReal(0);
     
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_boundary.cc b/ML_BSSN_MP/src/ML_BSSN_MP_boundary.cc
index 2b0269a..bfc1139 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_boundary.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_boundary.cc
@@ -79,6 +79,20 @@ static void ML_BSSN_MP_boundary_Body(cGH const * restrict const cctkGH, int cons
   const char *groups[] = {"ML_BSSN_MP::ML_curv","ML_BSSN_MP::ML_dtlapse","ML_BSSN_MP::ML_dtshift","ML_BSSN_MP::ML_Gamma","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_log_confac","ML_BSSN_MP::ML_metric","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_trace_curv"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_boundary", 9, groups);
   
+  switch(fdOrder)
+  {
+    case 2:
+      break;
+    
+    case 4:
+      break;
+    
+    case 6:
+      break;
+    
+    case 8:
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -106,24 +120,84 @@ static void ML_BSSN_MP_boundary_Body(cGH const * restrict const cctkGH, int cons
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -188,6 +262,21 @@ static void ML_BSSN_MP_boundary_Body(cGH const * restrict const cctkGH, int cons
     
     /* Precompute derivatives */
     
+    switch(fdOrder)
+    {
+      case 2:
+        break;
+      
+      case 4:
+        break;
+      
+      case 6:
+        break;
+      
+      case 8:
+        break;
+    }
+    
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC phiL = IfThen(conformalMethod,ToReal(1),ToReal(0));
     
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_constraints1.cc b/ML_BSSN_MP/src/ML_BSSN_MP_constraints1.cc
index 742db41..34a818b 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_constraints1.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_constraints1.cc
@@ -55,7 +55,24 @@ static void ML_BSSN_MP_constraints1_Body(cGH const * restrict const cctkGH, int
   const char *groups[] = {"ML_BSSN_MP::ML_curv","ML_BSSN_MP::ML_Gamma","ML_BSSN_MP::ML_Ham","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_log_confac","ML_BSSN_MP::ML_metric","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_trace_curv"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_constraints1", 8, groups);
   
-  GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_constraints1", 2, 2, 2);
+  switch(fdOrder)
+  {
+    case 2:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_constraints1", 1, 1, 1);
+      break;
+    
+    case 4:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_constraints1", 2, 2, 2);
+      break;
+    
+    case 6:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_constraints1", 3, 3, 3);
+      break;
+    
+    case 8:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_constraints1", 4, 4, 4);
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -83,24 +100,84 @@ static void ML_BSSN_MP_constraints1_Body(cGH const * restrict const cctkGH, int
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -245,78 +322,381 @@ static void ML_BSSN_MP_constraints1_Body(cGH const * restrict const cctkGH, int
     /* Include user supplied include files */
     
     /* Precompute derivatives */
-    CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth11phi = PDstandardNth11(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth22phi = PDstandardNth22(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth33phi = PDstandardNth33(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth12phi = PDstandardNth12(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth13phi = PDstandardNth13(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth23phi = PDstandardNth23(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(&Xt1[index]);
-    CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(&Xt1[index]);
-    CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(&Xt1[index]);
-    CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(&Xt2[index]);
-    CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(&Xt2[index]);
-    CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(&Xt2[index]);
-    CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(&Xt3[index]);
-    CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(&Xt3[index]);
-    CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(&Xt3[index]);
+    CCTK_REAL_VEC PDstandardNth1gt11;
+    CCTK_REAL_VEC PDstandardNth2gt11;
+    CCTK_REAL_VEC PDstandardNth3gt11;
+    CCTK_REAL_VEC PDstandardNth11gt11;
+    CCTK_REAL_VEC PDstandardNth22gt11;
+    CCTK_REAL_VEC PDstandardNth33gt11;
+    CCTK_REAL_VEC PDstandardNth12gt11;
+    CCTK_REAL_VEC PDstandardNth13gt11;
+    CCTK_REAL_VEC PDstandardNth23gt11;
+    CCTK_REAL_VEC PDstandardNth1gt12;
+    CCTK_REAL_VEC PDstandardNth2gt12;
+    CCTK_REAL_VEC PDstandardNth3gt12;
+    CCTK_REAL_VEC PDstandardNth11gt12;
+    CCTK_REAL_VEC PDstandardNth22gt12;
+    CCTK_REAL_VEC PDstandardNth33gt12;
+    CCTK_REAL_VEC PDstandardNth12gt12;
+    CCTK_REAL_VEC PDstandardNth13gt12;
+    CCTK_REAL_VEC PDstandardNth23gt12;
+    CCTK_REAL_VEC PDstandardNth1gt13;
+    CCTK_REAL_VEC PDstandardNth2gt13;
+    CCTK_REAL_VEC PDstandardNth3gt13;
+    CCTK_REAL_VEC PDstandardNth11gt13;
+    CCTK_REAL_VEC PDstandardNth22gt13;
+    CCTK_REAL_VEC PDstandardNth33gt13;
+    CCTK_REAL_VEC PDstandardNth12gt13;
+    CCTK_REAL_VEC PDstandardNth13gt13;
+    CCTK_REAL_VEC PDstandardNth23gt13;
+    CCTK_REAL_VEC PDstandardNth1gt22;
+    CCTK_REAL_VEC PDstandardNth2gt22;
+    CCTK_REAL_VEC PDstandardNth3gt22;
+    CCTK_REAL_VEC PDstandardNth11gt22;
+    CCTK_REAL_VEC PDstandardNth22gt22;
+    CCTK_REAL_VEC PDstandardNth33gt22;
+    CCTK_REAL_VEC PDstandardNth12gt22;
+    CCTK_REAL_VEC PDstandardNth13gt22;
+    CCTK_REAL_VEC PDstandardNth23gt22;
+    CCTK_REAL_VEC PDstandardNth1gt23;
+    CCTK_REAL_VEC PDstandardNth2gt23;
+    CCTK_REAL_VEC PDstandardNth3gt23;
+    CCTK_REAL_VEC PDstandardNth11gt23;
+    CCTK_REAL_VEC PDstandardNth22gt23;
+    CCTK_REAL_VEC PDstandardNth33gt23;
+    CCTK_REAL_VEC PDstandardNth12gt23;
+    CCTK_REAL_VEC PDstandardNth13gt23;
+    CCTK_REAL_VEC PDstandardNth23gt23;
+    CCTK_REAL_VEC PDstandardNth1gt33;
+    CCTK_REAL_VEC PDstandardNth2gt33;
+    CCTK_REAL_VEC PDstandardNth3gt33;
+    CCTK_REAL_VEC PDstandardNth11gt33;
+    CCTK_REAL_VEC PDstandardNth22gt33;
+    CCTK_REAL_VEC PDstandardNth33gt33;
+    CCTK_REAL_VEC PDstandardNth12gt33;
+    CCTK_REAL_VEC PDstandardNth13gt33;
+    CCTK_REAL_VEC PDstandardNth23gt33;
+    CCTK_REAL_VEC PDstandardNth1phi;
+    CCTK_REAL_VEC PDstandardNth2phi;
+    CCTK_REAL_VEC PDstandardNth3phi;
+    CCTK_REAL_VEC PDstandardNth11phi;
+    CCTK_REAL_VEC PDstandardNth22phi;
+    CCTK_REAL_VEC PDstandardNth33phi;
+    CCTK_REAL_VEC PDstandardNth12phi;
+    CCTK_REAL_VEC PDstandardNth13phi;
+    CCTK_REAL_VEC PDstandardNth23phi;
+    CCTK_REAL_VEC PDstandardNth1Xt1;
+    CCTK_REAL_VEC PDstandardNth2Xt1;
+    CCTK_REAL_VEC PDstandardNth3Xt1;
+    CCTK_REAL_VEC PDstandardNth1Xt2;
+    CCTK_REAL_VEC PDstandardNth2Xt2;
+    CCTK_REAL_VEC PDstandardNth3Xt2;
+    CCTK_REAL_VEC PDstandardNth1Xt3;
+    CCTK_REAL_VEC PDstandardNth2Xt3;
+    CCTK_REAL_VEC PDstandardNth3Xt3;
+    
+    switch(fdOrder)
+    {
+      case 2:
+        PDstandardNth1gt11 = PDstandardNthfdOrder21(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder22(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder23(&gt11[index]);
+        PDstandardNth11gt11 = PDstandardNthfdOrder211(&gt11[index]);
+        PDstandardNth22gt11 = PDstandardNthfdOrder222(&gt11[index]);
+        PDstandardNth33gt11 = PDstandardNthfdOrder233(&gt11[index]);
+        PDstandardNth12gt11 = PDstandardNthfdOrder212(&gt11[index]);
+        PDstandardNth13gt11 = PDstandardNthfdOrder213(&gt11[index]);
+        PDstandardNth23gt11 = PDstandardNthfdOrder223(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder21(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder22(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder23(&gt12[index]);
+        PDstandardNth11gt12 = PDstandardNthfdOrder211(&gt12[index]);
+        PDstandardNth22gt12 = PDstandardNthfdOrder222(&gt12[index]);
+        PDstandardNth33gt12 = PDstandardNthfdOrder233(&gt12[index]);
+        PDstandardNth12gt12 = PDstandardNthfdOrder212(&gt12[index]);
+        PDstandardNth13gt12 = PDstandardNthfdOrder213(&gt12[index]);
+        PDstandardNth23gt12 = PDstandardNthfdOrder223(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder21(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder22(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder23(&gt13[index]);
+        PDstandardNth11gt13 = PDstandardNthfdOrder211(&gt13[index]);
+        PDstandardNth22gt13 = PDstandardNthfdOrder222(&gt13[index]);
+        PDstandardNth33gt13 = PDstandardNthfdOrder233(&gt13[index]);
+        PDstandardNth12gt13 = PDstandardNthfdOrder212(&gt13[index]);
+        PDstandardNth13gt13 = PDstandardNthfdOrder213(&gt13[index]);
+        PDstandardNth23gt13 = PDstandardNthfdOrder223(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder21(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder22(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder23(&gt22[index]);
+        PDstandardNth11gt22 = PDstandardNthfdOrder211(&gt22[index]);
+        PDstandardNth22gt22 = PDstandardNthfdOrder222(&gt22[index]);
+        PDstandardNth33gt22 = PDstandardNthfdOrder233(&gt22[index]);
+        PDstandardNth12gt22 = PDstandardNthfdOrder212(&gt22[index]);
+        PDstandardNth13gt22 = PDstandardNthfdOrder213(&gt22[index]);
+        PDstandardNth23gt22 = PDstandardNthfdOrder223(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder21(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder22(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder23(&gt23[index]);
+        PDstandardNth11gt23 = PDstandardNthfdOrder211(&gt23[index]);
+        PDstandardNth22gt23 = PDstandardNthfdOrder222(&gt23[index]);
+        PDstandardNth33gt23 = PDstandardNthfdOrder233(&gt23[index]);
+        PDstandardNth12gt23 = PDstandardNthfdOrder212(&gt23[index]);
+        PDstandardNth13gt23 = PDstandardNthfdOrder213(&gt23[index]);
+        PDstandardNth23gt23 = PDstandardNthfdOrder223(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder21(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder22(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder23(&gt33[index]);
+        PDstandardNth11gt33 = PDstandardNthfdOrder211(&gt33[index]);
+        PDstandardNth22gt33 = PDstandardNthfdOrder222(&gt33[index]);
+        PDstandardNth33gt33 = PDstandardNthfdOrder233(&gt33[index]);
+        PDstandardNth12gt33 = PDstandardNthfdOrder212(&gt33[index]);
+        PDstandardNth13gt33 = PDstandardNthfdOrder213(&gt33[index]);
+        PDstandardNth23gt33 = PDstandardNthfdOrder223(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder21(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder22(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder23(&phi[index]);
+        PDstandardNth11phi = PDstandardNthfdOrder211(&phi[index]);
+        PDstandardNth22phi = PDstandardNthfdOrder222(&phi[index]);
+        PDstandardNth33phi = PDstandardNthfdOrder233(&phi[index]);
+        PDstandardNth12phi = PDstandardNthfdOrder212(&phi[index]);
+        PDstandardNth13phi = PDstandardNthfdOrder213(&phi[index]);
+        PDstandardNth23phi = PDstandardNthfdOrder223(&phi[index]);
+        PDstandardNth1Xt1 = PDstandardNthfdOrder21(&Xt1[index]);
+        PDstandardNth2Xt1 = PDstandardNthfdOrder22(&Xt1[index]);
+        PDstandardNth3Xt1 = PDstandardNthfdOrder23(&Xt1[index]);
+        PDstandardNth1Xt2 = PDstandardNthfdOrder21(&Xt2[index]);
+        PDstandardNth2Xt2 = PDstandardNthfdOrder22(&Xt2[index]);
+        PDstandardNth3Xt2 = PDstandardNthfdOrder23(&Xt2[index]);
+        PDstandardNth1Xt3 = PDstandardNthfdOrder21(&Xt3[index]);
+        PDstandardNth2Xt3 = PDstandardNthfdOrder22(&Xt3[index]);
+        PDstandardNth3Xt3 = PDstandardNthfdOrder23(&Xt3[index]);
+        break;
+      
+      case 4:
+        PDstandardNth1gt11 = PDstandardNthfdOrder41(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder42(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder43(&gt11[index]);
+        PDstandardNth11gt11 = PDstandardNthfdOrder411(&gt11[index]);
+        PDstandardNth22gt11 = PDstandardNthfdOrder422(&gt11[index]);
+        PDstandardNth33gt11 = PDstandardNthfdOrder433(&gt11[index]);
+        PDstandardNth12gt11 = PDstandardNthfdOrder412(&gt11[index]);
+        PDstandardNth13gt11 = PDstandardNthfdOrder413(&gt11[index]);
+        PDstandardNth23gt11 = PDstandardNthfdOrder423(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder41(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder42(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder43(&gt12[index]);
+        PDstandardNth11gt12 = PDstandardNthfdOrder411(&gt12[index]);
+        PDstandardNth22gt12 = PDstandardNthfdOrder422(&gt12[index]);
+        PDstandardNth33gt12 = PDstandardNthfdOrder433(&gt12[index]);
+        PDstandardNth12gt12 = PDstandardNthfdOrder412(&gt12[index]);
+        PDstandardNth13gt12 = PDstandardNthfdOrder413(&gt12[index]);
+        PDstandardNth23gt12 = PDstandardNthfdOrder423(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder41(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder42(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder43(&gt13[index]);
+        PDstandardNth11gt13 = PDstandardNthfdOrder411(&gt13[index]);
+        PDstandardNth22gt13 = PDstandardNthfdOrder422(&gt13[index]);
+        PDstandardNth33gt13 = PDstandardNthfdOrder433(&gt13[index]);
+        PDstandardNth12gt13 = PDstandardNthfdOrder412(&gt13[index]);
+        PDstandardNth13gt13 = PDstandardNthfdOrder413(&gt13[index]);
+        PDstandardNth23gt13 = PDstandardNthfdOrder423(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder41(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder42(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder43(&gt22[index]);
+        PDstandardNth11gt22 = PDstandardNthfdOrder411(&gt22[index]);
+        PDstandardNth22gt22 = PDstandardNthfdOrder422(&gt22[index]);
+        PDstandardNth33gt22 = PDstandardNthfdOrder433(&gt22[index]);
+        PDstandardNth12gt22 = PDstandardNthfdOrder412(&gt22[index]);
+        PDstandardNth13gt22 = PDstandardNthfdOrder413(&gt22[index]);
+        PDstandardNth23gt22 = PDstandardNthfdOrder423(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder41(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder42(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder43(&gt23[index]);
+        PDstandardNth11gt23 = PDstandardNthfdOrder411(&gt23[index]);
+        PDstandardNth22gt23 = PDstandardNthfdOrder422(&gt23[index]);
+        PDstandardNth33gt23 = PDstandardNthfdOrder433(&gt23[index]);
+        PDstandardNth12gt23 = PDstandardNthfdOrder412(&gt23[index]);
+        PDstandardNth13gt23 = PDstandardNthfdOrder413(&gt23[index]);
+        PDstandardNth23gt23 = PDstandardNthfdOrder423(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder41(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder42(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder43(&gt33[index]);
+        PDstandardNth11gt33 = PDstandardNthfdOrder411(&gt33[index]);
+        PDstandardNth22gt33 = PDstandardNthfdOrder422(&gt33[index]);
+        PDstandardNth33gt33 = PDstandardNthfdOrder433(&gt33[index]);
+        PDstandardNth12gt33 = PDstandardNthfdOrder412(&gt33[index]);
+        PDstandardNth13gt33 = PDstandardNthfdOrder413(&gt33[index]);
+        PDstandardNth23gt33 = PDstandardNthfdOrder423(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder41(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder42(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder43(&phi[index]);
+        PDstandardNth11phi = PDstandardNthfdOrder411(&phi[index]);
+        PDstandardNth22phi = PDstandardNthfdOrder422(&phi[index]);
+        PDstandardNth33phi = PDstandardNthfdOrder433(&phi[index]);
+        PDstandardNth12phi = PDstandardNthfdOrder412(&phi[index]);
+        PDstandardNth13phi = PDstandardNthfdOrder413(&phi[index]);
+        PDstandardNth23phi = PDstandardNthfdOrder423(&phi[index]);
+        PDstandardNth1Xt1 = PDstandardNthfdOrder41(&Xt1[index]);
+        PDstandardNth2Xt1 = PDstandardNthfdOrder42(&Xt1[index]);
+        PDstandardNth3Xt1 = PDstandardNthfdOrder43(&Xt1[index]);
+        PDstandardNth1Xt2 = PDstandardNthfdOrder41(&Xt2[index]);
+        PDstandardNth2Xt2 = PDstandardNthfdOrder42(&Xt2[index]);
+        PDstandardNth3Xt2 = PDstandardNthfdOrder43(&Xt2[index]);
+        PDstandardNth1Xt3 = PDstandardNthfdOrder41(&Xt3[index]);
+        PDstandardNth2Xt3 = PDstandardNthfdOrder42(&Xt3[index]);
+        PDstandardNth3Xt3 = PDstandardNthfdOrder43(&Xt3[index]);
+        break;
+      
+      case 6:
+        PDstandardNth1gt11 = PDstandardNthfdOrder61(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder62(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder63(&gt11[index]);
+        PDstandardNth11gt11 = PDstandardNthfdOrder611(&gt11[index]);
+        PDstandardNth22gt11 = PDstandardNthfdOrder622(&gt11[index]);
+        PDstandardNth33gt11 = PDstandardNthfdOrder633(&gt11[index]);
+        PDstandardNth12gt11 = PDstandardNthfdOrder612(&gt11[index]);
+        PDstandardNth13gt11 = PDstandardNthfdOrder613(&gt11[index]);
+        PDstandardNth23gt11 = PDstandardNthfdOrder623(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder61(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder62(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder63(&gt12[index]);
+        PDstandardNth11gt12 = PDstandardNthfdOrder611(&gt12[index]);
+        PDstandardNth22gt12 = PDstandardNthfdOrder622(&gt12[index]);
+        PDstandardNth33gt12 = PDstandardNthfdOrder633(&gt12[index]);
+        PDstandardNth12gt12 = PDstandardNthfdOrder612(&gt12[index]);
+        PDstandardNth13gt12 = PDstandardNthfdOrder613(&gt12[index]);
+        PDstandardNth23gt12 = PDstandardNthfdOrder623(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder61(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder62(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder63(&gt13[index]);
+        PDstandardNth11gt13 = PDstandardNthfdOrder611(&gt13[index]);
+        PDstandardNth22gt13 = PDstandardNthfdOrder622(&gt13[index]);
+        PDstandardNth33gt13 = PDstandardNthfdOrder633(&gt13[index]);
+        PDstandardNth12gt13 = PDstandardNthfdOrder612(&gt13[index]);
+        PDstandardNth13gt13 = PDstandardNthfdOrder613(&gt13[index]);
+        PDstandardNth23gt13 = PDstandardNthfdOrder623(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder61(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder62(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder63(&gt22[index]);
+        PDstandardNth11gt22 = PDstandardNthfdOrder611(&gt22[index]);
+        PDstandardNth22gt22 = PDstandardNthfdOrder622(&gt22[index]);
+        PDstandardNth33gt22 = PDstandardNthfdOrder633(&gt22[index]);
+        PDstandardNth12gt22 = PDstandardNthfdOrder612(&gt22[index]);
+        PDstandardNth13gt22 = PDstandardNthfdOrder613(&gt22[index]);
+        PDstandardNth23gt22 = PDstandardNthfdOrder623(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder61(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder62(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder63(&gt23[index]);
+        PDstandardNth11gt23 = PDstandardNthfdOrder611(&gt23[index]);
+        PDstandardNth22gt23 = PDstandardNthfdOrder622(&gt23[index]);
+        PDstandardNth33gt23 = PDstandardNthfdOrder633(&gt23[index]);
+        PDstandardNth12gt23 = PDstandardNthfdOrder612(&gt23[index]);
+        PDstandardNth13gt23 = PDstandardNthfdOrder613(&gt23[index]);
+        PDstandardNth23gt23 = PDstandardNthfdOrder623(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder61(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder62(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder63(&gt33[index]);
+        PDstandardNth11gt33 = PDstandardNthfdOrder611(&gt33[index]);
+        PDstandardNth22gt33 = PDstandardNthfdOrder622(&gt33[index]);
+        PDstandardNth33gt33 = PDstandardNthfdOrder633(&gt33[index]);
+        PDstandardNth12gt33 = PDstandardNthfdOrder612(&gt33[index]);
+        PDstandardNth13gt33 = PDstandardNthfdOrder613(&gt33[index]);
+        PDstandardNth23gt33 = PDstandardNthfdOrder623(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder61(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder62(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder63(&phi[index]);
+        PDstandardNth11phi = PDstandardNthfdOrder611(&phi[index]);
+        PDstandardNth22phi = PDstandardNthfdOrder622(&phi[index]);
+        PDstandardNth33phi = PDstandardNthfdOrder633(&phi[index]);
+        PDstandardNth12phi = PDstandardNthfdOrder612(&phi[index]);
+        PDstandardNth13phi = PDstandardNthfdOrder613(&phi[index]);
+        PDstandardNth23phi = PDstandardNthfdOrder623(&phi[index]);
+        PDstandardNth1Xt1 = PDstandardNthfdOrder61(&Xt1[index]);
+        PDstandardNth2Xt1 = PDstandardNthfdOrder62(&Xt1[index]);
+        PDstandardNth3Xt1 = PDstandardNthfdOrder63(&Xt1[index]);
+        PDstandardNth1Xt2 = PDstandardNthfdOrder61(&Xt2[index]);
+        PDstandardNth2Xt2 = PDstandardNthfdOrder62(&Xt2[index]);
+        PDstandardNth3Xt2 = PDstandardNthfdOrder63(&Xt2[index]);
+        PDstandardNth1Xt3 = PDstandardNthfdOrder61(&Xt3[index]);
+        PDstandardNth2Xt3 = PDstandardNthfdOrder62(&Xt3[index]);
+        PDstandardNth3Xt3 = PDstandardNthfdOrder63(&Xt3[index]);
+        break;
+      
+      case 8:
+        PDstandardNth1gt11 = PDstandardNthfdOrder81(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder82(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder83(&gt11[index]);
+        PDstandardNth11gt11 = PDstandardNthfdOrder811(&gt11[index]);
+        PDstandardNth22gt11 = PDstandardNthfdOrder822(&gt11[index]);
+        PDstandardNth33gt11 = PDstandardNthfdOrder833(&gt11[index]);
+        PDstandardNth12gt11 = PDstandardNthfdOrder812(&gt11[index]);
+        PDstandardNth13gt11 = PDstandardNthfdOrder813(&gt11[index]);
+        PDstandardNth23gt11 = PDstandardNthfdOrder823(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder81(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder82(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder83(&gt12[index]);
+        PDstandardNth11gt12 = PDstandardNthfdOrder811(&gt12[index]);
+        PDstandardNth22gt12 = PDstandardNthfdOrder822(&gt12[index]);
+        PDstandardNth33gt12 = PDstandardNthfdOrder833(&gt12[index]);
+        PDstandardNth12gt12 = PDstandardNthfdOrder812(&gt12[index]);
+        PDstandardNth13gt12 = PDstandardNthfdOrder813(&gt12[index]);
+        PDstandardNth23gt12 = PDstandardNthfdOrder823(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder81(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder82(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder83(&gt13[index]);
+        PDstandardNth11gt13 = PDstandardNthfdOrder811(&gt13[index]);
+        PDstandardNth22gt13 = PDstandardNthfdOrder822(&gt13[index]);
+        PDstandardNth33gt13 = PDstandardNthfdOrder833(&gt13[index]);
+        PDstandardNth12gt13 = PDstandardNthfdOrder812(&gt13[index]);
+        PDstandardNth13gt13 = PDstandardNthfdOrder813(&gt13[index]);
+        PDstandardNth23gt13 = PDstandardNthfdOrder823(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder81(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder82(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder83(&gt22[index]);
+        PDstandardNth11gt22 = PDstandardNthfdOrder811(&gt22[index]);
+        PDstandardNth22gt22 = PDstandardNthfdOrder822(&gt22[index]);
+        PDstandardNth33gt22 = PDstandardNthfdOrder833(&gt22[index]);
+        PDstandardNth12gt22 = PDstandardNthfdOrder812(&gt22[index]);
+        PDstandardNth13gt22 = PDstandardNthfdOrder813(&gt22[index]);
+        PDstandardNth23gt22 = PDstandardNthfdOrder823(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder81(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder82(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder83(&gt23[index]);
+        PDstandardNth11gt23 = PDstandardNthfdOrder811(&gt23[index]);
+        PDstandardNth22gt23 = PDstandardNthfdOrder822(&gt23[index]);
+        PDstandardNth33gt23 = PDstandardNthfdOrder833(&gt23[index]);
+        PDstandardNth12gt23 = PDstandardNthfdOrder812(&gt23[index]);
+        PDstandardNth13gt23 = PDstandardNthfdOrder813(&gt23[index]);
+        PDstandardNth23gt23 = PDstandardNthfdOrder823(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder81(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder82(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder83(&gt33[index]);
+        PDstandardNth11gt33 = PDstandardNthfdOrder811(&gt33[index]);
+        PDstandardNth22gt33 = PDstandardNthfdOrder822(&gt33[index]);
+        PDstandardNth33gt33 = PDstandardNthfdOrder833(&gt33[index]);
+        PDstandardNth12gt33 = PDstandardNthfdOrder812(&gt33[index]);
+        PDstandardNth13gt33 = PDstandardNthfdOrder813(&gt33[index]);
+        PDstandardNth23gt33 = PDstandardNthfdOrder823(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder81(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder82(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder83(&phi[index]);
+        PDstandardNth11phi = PDstandardNthfdOrder811(&phi[index]);
+        PDstandardNth22phi = PDstandardNthfdOrder822(&phi[index]);
+        PDstandardNth33phi = PDstandardNthfdOrder833(&phi[index]);
+        PDstandardNth12phi = PDstandardNthfdOrder812(&phi[index]);
+        PDstandardNth13phi = PDstandardNthfdOrder813(&phi[index]);
+        PDstandardNth23phi = PDstandardNthfdOrder823(&phi[index]);
+        PDstandardNth1Xt1 = PDstandardNthfdOrder81(&Xt1[index]);
+        PDstandardNth2Xt1 = PDstandardNthfdOrder82(&Xt1[index]);
+        PDstandardNth3Xt1 = PDstandardNthfdOrder83(&Xt1[index]);
+        PDstandardNth1Xt2 = PDstandardNthfdOrder81(&Xt2[index]);
+        PDstandardNth2Xt2 = PDstandardNthfdOrder82(&Xt2[index]);
+        PDstandardNth3Xt2 = PDstandardNthfdOrder83(&Xt2[index]);
+        PDstandardNth1Xt3 = PDstandardNthfdOrder81(&Xt3[index]);
+        PDstandardNth2Xt3 = PDstandardNthfdOrder82(&Xt3[index]);
+        PDstandardNth3Xt3 = PDstandardNthfdOrder83(&Xt3[index]);
+        break;
+    }
     
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC JacPDstandardNth11gt11;
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_constraints2.cc b/ML_BSSN_MP/src/ML_BSSN_MP_constraints2.cc
index f01444c..e5d96b3 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_constraints2.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_constraints2.cc
@@ -64,7 +64,24 @@ static void ML_BSSN_MP_constraints2_Body(cGH const * restrict const cctkGH, int
   const char *groups[] = {"ML_BSSN_MP::ML_cons_detg","ML_BSSN_MP::ML_cons_Gamma","ML_BSSN_MP::ML_cons_traceA","ML_BSSN_MP::ML_curv","ML_BSSN_MP::ML_Gamma","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_log_confac","ML_BSSN_MP::ML_metric","ML_BSSN_MP::ML_mom","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_trace_curv"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_constraints2", 11, groups);
   
-  GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_constraints2", 2, 2, 2);
+  switch(fdOrder)
+  {
+    case 2:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_constraints2", 1, 1, 1);
+      break;
+    
+    case 4:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_constraints2", 2, 2, 2);
+      break;
+    
+    case 6:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_constraints2", 3, 3, 3);
+      break;
+    
+    case 8:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_constraints2", 4, 4, 4);
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -92,24 +109,84 @@ static void ML_BSSN_MP_constraints2_Body(cGH const * restrict const cctkGH, int
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -234,48 +311,231 @@ static void ML_BSSN_MP_constraints2_Body(cGH const * restrict const cctkGH, int
     /* Include user supplied include files */
     
     /* Precompute derivatives */
-    CCTK_REAL_VEC const PDstandardNth1At11 = PDstandardNth1(&At11[index]);
-    CCTK_REAL_VEC const PDstandardNth2At11 = PDstandardNth2(&At11[index]);
-    CCTK_REAL_VEC const PDstandardNth3At11 = PDstandardNth3(&At11[index]);
-    CCTK_REAL_VEC const PDstandardNth1At12 = PDstandardNth1(&At12[index]);
-    CCTK_REAL_VEC const PDstandardNth2At12 = PDstandardNth2(&At12[index]);
-    CCTK_REAL_VEC const PDstandardNth3At12 = PDstandardNth3(&At12[index]);
-    CCTK_REAL_VEC const PDstandardNth1At13 = PDstandardNth1(&At13[index]);
-    CCTK_REAL_VEC const PDstandardNth2At13 = PDstandardNth2(&At13[index]);
-    CCTK_REAL_VEC const PDstandardNth3At13 = PDstandardNth3(&At13[index]);
-    CCTK_REAL_VEC const PDstandardNth1At22 = PDstandardNth1(&At22[index]);
-    CCTK_REAL_VEC const PDstandardNth2At22 = PDstandardNth2(&At22[index]);
-    CCTK_REAL_VEC const PDstandardNth3At22 = PDstandardNth3(&At22[index]);
-    CCTK_REAL_VEC const PDstandardNth1At23 = PDstandardNth1(&At23[index]);
-    CCTK_REAL_VEC const PDstandardNth2At23 = PDstandardNth2(&At23[index]);
-    CCTK_REAL_VEC const PDstandardNth3At23 = PDstandardNth3(&At23[index]);
-    CCTK_REAL_VEC const PDstandardNth1At33 = PDstandardNth1(&At33[index]);
-    CCTK_REAL_VEC const PDstandardNth2At33 = PDstandardNth2(&At33[index]);
-    CCTK_REAL_VEC const PDstandardNth3At33 = PDstandardNth3(&At33[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(&phi[index]);
-    CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(&trK[index]);
-    CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(&trK[index]);
-    CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(&trK[index]);
+    CCTK_REAL_VEC PDstandardNth1At11;
+    CCTK_REAL_VEC PDstandardNth2At11;
+    CCTK_REAL_VEC PDstandardNth3At11;
+    CCTK_REAL_VEC PDstandardNth1At12;
+    CCTK_REAL_VEC PDstandardNth2At12;
+    CCTK_REAL_VEC PDstandardNth3At12;
+    CCTK_REAL_VEC PDstandardNth1At13;
+    CCTK_REAL_VEC PDstandardNth2At13;
+    CCTK_REAL_VEC PDstandardNth3At13;
+    CCTK_REAL_VEC PDstandardNth1At22;
+    CCTK_REAL_VEC PDstandardNth2At22;
+    CCTK_REAL_VEC PDstandardNth3At22;
+    CCTK_REAL_VEC PDstandardNth1At23;
+    CCTK_REAL_VEC PDstandardNth2At23;
+    CCTK_REAL_VEC PDstandardNth3At23;
+    CCTK_REAL_VEC PDstandardNth1At33;
+    CCTK_REAL_VEC PDstandardNth2At33;
+    CCTK_REAL_VEC PDstandardNth3At33;
+    CCTK_REAL_VEC PDstandardNth1gt11;
+    CCTK_REAL_VEC PDstandardNth2gt11;
+    CCTK_REAL_VEC PDstandardNth3gt11;
+    CCTK_REAL_VEC PDstandardNth1gt12;
+    CCTK_REAL_VEC PDstandardNth2gt12;
+    CCTK_REAL_VEC PDstandardNth3gt12;
+    CCTK_REAL_VEC PDstandardNth1gt13;
+    CCTK_REAL_VEC PDstandardNth2gt13;
+    CCTK_REAL_VEC PDstandardNth3gt13;
+    CCTK_REAL_VEC PDstandardNth1gt22;
+    CCTK_REAL_VEC PDstandardNth2gt22;
+    CCTK_REAL_VEC PDstandardNth3gt22;
+    CCTK_REAL_VEC PDstandardNth1gt23;
+    CCTK_REAL_VEC PDstandardNth2gt23;
+    CCTK_REAL_VEC PDstandardNth3gt23;
+    CCTK_REAL_VEC PDstandardNth1gt33;
+    CCTK_REAL_VEC PDstandardNth2gt33;
+    CCTK_REAL_VEC PDstandardNth3gt33;
+    CCTK_REAL_VEC PDstandardNth1phi;
+    CCTK_REAL_VEC PDstandardNth2phi;
+    CCTK_REAL_VEC PDstandardNth3phi;
+    CCTK_REAL_VEC PDstandardNth1trK;
+    CCTK_REAL_VEC PDstandardNth2trK;
+    CCTK_REAL_VEC PDstandardNth3trK;
+    
+    switch(fdOrder)
+    {
+      case 2:
+        PDstandardNth1At11 = PDstandardNthfdOrder21(&At11[index]);
+        PDstandardNth2At11 = PDstandardNthfdOrder22(&At11[index]);
+        PDstandardNth3At11 = PDstandardNthfdOrder23(&At11[index]);
+        PDstandardNth1At12 = PDstandardNthfdOrder21(&At12[index]);
+        PDstandardNth2At12 = PDstandardNthfdOrder22(&At12[index]);
+        PDstandardNth3At12 = PDstandardNthfdOrder23(&At12[index]);
+        PDstandardNth1At13 = PDstandardNthfdOrder21(&At13[index]);
+        PDstandardNth2At13 = PDstandardNthfdOrder22(&At13[index]);
+        PDstandardNth3At13 = PDstandardNthfdOrder23(&At13[index]);
+        PDstandardNth1At22 = PDstandardNthfdOrder21(&At22[index]);
+        PDstandardNth2At22 = PDstandardNthfdOrder22(&At22[index]);
+        PDstandardNth3At22 = PDstandardNthfdOrder23(&At22[index]);
+        PDstandardNth1At23 = PDstandardNthfdOrder21(&At23[index]);
+        PDstandardNth2At23 = PDstandardNthfdOrder22(&At23[index]);
+        PDstandardNth3At23 = PDstandardNthfdOrder23(&At23[index]);
+        PDstandardNth1At33 = PDstandardNthfdOrder21(&At33[index]);
+        PDstandardNth2At33 = PDstandardNthfdOrder22(&At33[index]);
+        PDstandardNth3At33 = PDstandardNthfdOrder23(&At33[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder21(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder22(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder23(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder21(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder22(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder23(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder21(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder22(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder23(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder21(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder22(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder23(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder21(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder22(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder23(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder21(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder22(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder23(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder21(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder22(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder23(&phi[index]);
+        PDstandardNth1trK = PDstandardNthfdOrder21(&trK[index]);
+        PDstandardNth2trK = PDstandardNthfdOrder22(&trK[index]);
+        PDstandardNth3trK = PDstandardNthfdOrder23(&trK[index]);
+        break;
+      
+      case 4:
+        PDstandardNth1At11 = PDstandardNthfdOrder41(&At11[index]);
+        PDstandardNth2At11 = PDstandardNthfdOrder42(&At11[index]);
+        PDstandardNth3At11 = PDstandardNthfdOrder43(&At11[index]);
+        PDstandardNth1At12 = PDstandardNthfdOrder41(&At12[index]);
+        PDstandardNth2At12 = PDstandardNthfdOrder42(&At12[index]);
+        PDstandardNth3At12 = PDstandardNthfdOrder43(&At12[index]);
+        PDstandardNth1At13 = PDstandardNthfdOrder41(&At13[index]);
+        PDstandardNth2At13 = PDstandardNthfdOrder42(&At13[index]);
+        PDstandardNth3At13 = PDstandardNthfdOrder43(&At13[index]);
+        PDstandardNth1At22 = PDstandardNthfdOrder41(&At22[index]);
+        PDstandardNth2At22 = PDstandardNthfdOrder42(&At22[index]);
+        PDstandardNth3At22 = PDstandardNthfdOrder43(&At22[index]);
+        PDstandardNth1At23 = PDstandardNthfdOrder41(&At23[index]);
+        PDstandardNth2At23 = PDstandardNthfdOrder42(&At23[index]);
+        PDstandardNth3At23 = PDstandardNthfdOrder43(&At23[index]);
+        PDstandardNth1At33 = PDstandardNthfdOrder41(&At33[index]);
+        PDstandardNth2At33 = PDstandardNthfdOrder42(&At33[index]);
+        PDstandardNth3At33 = PDstandardNthfdOrder43(&At33[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder41(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder42(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder43(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder41(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder42(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder43(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder41(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder42(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder43(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder41(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder42(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder43(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder41(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder42(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder43(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder41(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder42(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder43(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder41(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder42(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder43(&phi[index]);
+        PDstandardNth1trK = PDstandardNthfdOrder41(&trK[index]);
+        PDstandardNth2trK = PDstandardNthfdOrder42(&trK[index]);
+        PDstandardNth3trK = PDstandardNthfdOrder43(&trK[index]);
+        break;
+      
+      case 6:
+        PDstandardNth1At11 = PDstandardNthfdOrder61(&At11[index]);
+        PDstandardNth2At11 = PDstandardNthfdOrder62(&At11[index]);
+        PDstandardNth3At11 = PDstandardNthfdOrder63(&At11[index]);
+        PDstandardNth1At12 = PDstandardNthfdOrder61(&At12[index]);
+        PDstandardNth2At12 = PDstandardNthfdOrder62(&At12[index]);
+        PDstandardNth3At12 = PDstandardNthfdOrder63(&At12[index]);
+        PDstandardNth1At13 = PDstandardNthfdOrder61(&At13[index]);
+        PDstandardNth2At13 = PDstandardNthfdOrder62(&At13[index]);
+        PDstandardNth3At13 = PDstandardNthfdOrder63(&At13[index]);
+        PDstandardNth1At22 = PDstandardNthfdOrder61(&At22[index]);
+        PDstandardNth2At22 = PDstandardNthfdOrder62(&At22[index]);
+        PDstandardNth3At22 = PDstandardNthfdOrder63(&At22[index]);
+        PDstandardNth1At23 = PDstandardNthfdOrder61(&At23[index]);
+        PDstandardNth2At23 = PDstandardNthfdOrder62(&At23[index]);
+        PDstandardNth3At23 = PDstandardNthfdOrder63(&At23[index]);
+        PDstandardNth1At33 = PDstandardNthfdOrder61(&At33[index]);
+        PDstandardNth2At33 = PDstandardNthfdOrder62(&At33[index]);
+        PDstandardNth3At33 = PDstandardNthfdOrder63(&At33[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder61(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder62(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder63(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder61(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder62(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder63(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder61(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder62(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder63(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder61(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder62(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder63(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder61(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder62(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder63(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder61(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder62(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder63(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder61(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder62(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder63(&phi[index]);
+        PDstandardNth1trK = PDstandardNthfdOrder61(&trK[index]);
+        PDstandardNth2trK = PDstandardNthfdOrder62(&trK[index]);
+        PDstandardNth3trK = PDstandardNthfdOrder63(&trK[index]);
+        break;
+      
+      case 8:
+        PDstandardNth1At11 = PDstandardNthfdOrder81(&At11[index]);
+        PDstandardNth2At11 = PDstandardNthfdOrder82(&At11[index]);
+        PDstandardNth3At11 = PDstandardNthfdOrder83(&At11[index]);
+        PDstandardNth1At12 = PDstandardNthfdOrder81(&At12[index]);
+        PDstandardNth2At12 = PDstandardNthfdOrder82(&At12[index]);
+        PDstandardNth3At12 = PDstandardNthfdOrder83(&At12[index]);
+        PDstandardNth1At13 = PDstandardNthfdOrder81(&At13[index]);
+        PDstandardNth2At13 = PDstandardNthfdOrder82(&At13[index]);
+        PDstandardNth3At13 = PDstandardNthfdOrder83(&At13[index]);
+        PDstandardNth1At22 = PDstandardNthfdOrder81(&At22[index]);
+        PDstandardNth2At22 = PDstandardNthfdOrder82(&At22[index]);
+        PDstandardNth3At22 = PDstandardNthfdOrder83(&At22[index]);
+        PDstandardNth1At23 = PDstandardNthfdOrder81(&At23[index]);
+        PDstandardNth2At23 = PDstandardNthfdOrder82(&At23[index]);
+        PDstandardNth3At23 = PDstandardNthfdOrder83(&At23[index]);
+        PDstandardNth1At33 = PDstandardNthfdOrder81(&At33[index]);
+        PDstandardNth2At33 = PDstandardNthfdOrder82(&At33[index]);
+        PDstandardNth3At33 = PDstandardNthfdOrder83(&At33[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder81(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder82(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder83(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder81(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder82(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder83(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder81(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder82(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder83(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder81(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder82(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder83(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder81(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder82(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder83(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder81(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder82(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder83(&gt33[index]);
+        PDstandardNth1phi = PDstandardNthfdOrder81(&phi[index]);
+        PDstandardNth2phi = PDstandardNthfdOrder82(&phi[index]);
+        PDstandardNth3phi = PDstandardNthfdOrder83(&phi[index]);
+        PDstandardNth1trK = PDstandardNthfdOrder81(&trK[index]);
+        PDstandardNth2trK = PDstandardNthfdOrder82(&trK[index]);
+        PDstandardNth3trK = PDstandardNthfdOrder83(&trK[index]);
+        break;
+    }
     
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC JacPDstandardNth1At11;
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.cc b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.cc
index 1ffebff..39b674f 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.cc
@@ -43,6 +43,20 @@ static void ML_BSSN_MP_convertFromADMBase_Body(cGH const * restrict const cctkGH
   const char *groups[] = {"ADMBase::curv","ADMBase::lapse","ADMBase::metric","ADMBase::shift","ML_BSSN_MP::ML_curv","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_log_confac","ML_BSSN_MP::ML_metric","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_trace_curv"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_convertFromADMBase", 10, groups);
   
+  switch(fdOrder)
+  {
+    case 2:
+      break;
+    
+    case 4:
+      break;
+    
+    case 6:
+      break;
+    
+    case 8:
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -70,24 +84,84 @@ static void ML_BSSN_MP_convertFromADMBase_Body(cGH const * restrict const cctkGH
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -170,6 +244,21 @@ static void ML_BSSN_MP_convertFromADMBase_Body(cGH const * restrict const cctkGH
     
     /* Precompute derivatives */
     
+    switch(fdOrder)
+    {
+      case 2:
+        break;
+      
+      case 4:
+        break;
+      
+      case 6:
+        break;
+      
+      case 8:
+        break;
+    }
+    
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC g11 = gxxL;
     
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.cc b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.cc
index e5ecb72..1f3db23 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.cc
@@ -61,7 +61,24 @@ static void ML_BSSN_MP_convertFromADMBaseGamma_Body(cGH const * restrict const c
   const char *groups[] = {"ADMBase::dtlapse","ADMBase::dtshift","grid::coordinates","Grid::coordinates","ML_BSSN_MP::ML_dtlapse","ML_BSSN_MP::ML_dtshift","ML_BSSN_MP::ML_Gamma","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_metric","ML_BSSN_MP::ML_shift"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_convertFromADMBaseGamma", 10, groups);
   
-  GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_convertFromADMBaseGamma", 3, 3, 3);
+  switch(fdOrder)
+  {
+    case 2:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_convertFromADMBaseGamma", 2, 2, 2);
+      break;
+    
+    case 4:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_convertFromADMBaseGamma", 3, 3, 3);
+      break;
+    
+    case 6:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_convertFromADMBaseGamma", 4, 4, 4);
+      break;
+    
+    case 8:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_convertFromADMBaseGamma", 5, 5, 5);
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -89,24 +106,84 @@ static void ML_BSSN_MP_convertFromADMBaseGamma_Body(cGH const * restrict const c
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -199,48 +276,231 @@ static void ML_BSSN_MP_convertFromADMBaseGamma_Body(cGH const * restrict const c
     /* Include user supplied include files */
     
     /* Precompute derivatives */
-    CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(&beta3[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(&gt11[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(&gt12[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(&gt13[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(&gt22[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(&gt23[index]);
-    CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(&gt33[index]);
-    CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(&gt33[index]);
+    CCTK_REAL_VEC PDupwindNthAnti1alpha;
+    CCTK_REAL_VEC PDupwindNthSymm1alpha;
+    CCTK_REAL_VEC PDupwindNthAnti2alpha;
+    CCTK_REAL_VEC PDupwindNthSymm2alpha;
+    CCTK_REAL_VEC PDupwindNthAnti3alpha;
+    CCTK_REAL_VEC PDupwindNthSymm3alpha;
+    CCTK_REAL_VEC PDupwindNthAnti1beta1;
+    CCTK_REAL_VEC PDupwindNthSymm1beta1;
+    CCTK_REAL_VEC PDupwindNthAnti2beta1;
+    CCTK_REAL_VEC PDupwindNthSymm2beta1;
+    CCTK_REAL_VEC PDupwindNthAnti3beta1;
+    CCTK_REAL_VEC PDupwindNthSymm3beta1;
+    CCTK_REAL_VEC PDupwindNthAnti1beta2;
+    CCTK_REAL_VEC PDupwindNthSymm1beta2;
+    CCTK_REAL_VEC PDupwindNthAnti2beta2;
+    CCTK_REAL_VEC PDupwindNthSymm2beta2;
+    CCTK_REAL_VEC PDupwindNthAnti3beta2;
+    CCTK_REAL_VEC PDupwindNthSymm3beta2;
+    CCTK_REAL_VEC PDupwindNthAnti1beta3;
+    CCTK_REAL_VEC PDupwindNthSymm1beta3;
+    CCTK_REAL_VEC PDupwindNthAnti2beta3;
+    CCTK_REAL_VEC PDupwindNthSymm2beta3;
+    CCTK_REAL_VEC PDupwindNthAnti3beta3;
+    CCTK_REAL_VEC PDupwindNthSymm3beta3;
+    CCTK_REAL_VEC PDstandardNth1gt11;
+    CCTK_REAL_VEC PDstandardNth2gt11;
+    CCTK_REAL_VEC PDstandardNth3gt11;
+    CCTK_REAL_VEC PDstandardNth1gt12;
+    CCTK_REAL_VEC PDstandardNth2gt12;
+    CCTK_REAL_VEC PDstandardNth3gt12;
+    CCTK_REAL_VEC PDstandardNth1gt13;
+    CCTK_REAL_VEC PDstandardNth2gt13;
+    CCTK_REAL_VEC PDstandardNth3gt13;
+    CCTK_REAL_VEC PDstandardNth1gt22;
+    CCTK_REAL_VEC PDstandardNth2gt22;
+    CCTK_REAL_VEC PDstandardNth3gt22;
+    CCTK_REAL_VEC PDstandardNth1gt23;
+    CCTK_REAL_VEC PDstandardNth2gt23;
+    CCTK_REAL_VEC PDstandardNth3gt23;
+    CCTK_REAL_VEC PDstandardNth1gt33;
+    CCTK_REAL_VEC PDstandardNth2gt33;
+    CCTK_REAL_VEC PDstandardNth3gt33;
+    
+    switch(fdOrder)
+    {
+      case 2:
+        PDupwindNthAnti1alpha = PDupwindNthAntifdOrder21(&alpha[index]);
+        PDupwindNthSymm1alpha = PDupwindNthSymmfdOrder21(&alpha[index]);
+        PDupwindNthAnti2alpha = PDupwindNthAntifdOrder22(&alpha[index]);
+        PDupwindNthSymm2alpha = PDupwindNthSymmfdOrder22(&alpha[index]);
+        PDupwindNthAnti3alpha = PDupwindNthAntifdOrder23(&alpha[index]);
+        PDupwindNthSymm3alpha = PDupwindNthSymmfdOrder23(&alpha[index]);
+        PDupwindNthAnti1beta1 = PDupwindNthAntifdOrder21(&beta1[index]);
+        PDupwindNthSymm1beta1 = PDupwindNthSymmfdOrder21(&beta1[index]);
+        PDupwindNthAnti2beta1 = PDupwindNthAntifdOrder22(&beta1[index]);
+        PDupwindNthSymm2beta1 = PDupwindNthSymmfdOrder22(&beta1[index]);
+        PDupwindNthAnti3beta1 = PDupwindNthAntifdOrder23(&beta1[index]);
+        PDupwindNthSymm3beta1 = PDupwindNthSymmfdOrder23(&beta1[index]);
+        PDupwindNthAnti1beta2 = PDupwindNthAntifdOrder21(&beta2[index]);
+        PDupwindNthSymm1beta2 = PDupwindNthSymmfdOrder21(&beta2[index]);
+        PDupwindNthAnti2beta2 = PDupwindNthAntifdOrder22(&beta2[index]);
+        PDupwindNthSymm2beta2 = PDupwindNthSymmfdOrder22(&beta2[index]);
+        PDupwindNthAnti3beta2 = PDupwindNthAntifdOrder23(&beta2[index]);
+        PDupwindNthSymm3beta2 = PDupwindNthSymmfdOrder23(&beta2[index]);
+        PDupwindNthAnti1beta3 = PDupwindNthAntifdOrder21(&beta3[index]);
+        PDupwindNthSymm1beta3 = PDupwindNthSymmfdOrder21(&beta3[index]);
+        PDupwindNthAnti2beta3 = PDupwindNthAntifdOrder22(&beta3[index]);
+        PDupwindNthSymm2beta3 = PDupwindNthSymmfdOrder22(&beta3[index]);
+        PDupwindNthAnti3beta3 = PDupwindNthAntifdOrder23(&beta3[index]);
+        PDupwindNthSymm3beta3 = PDupwindNthSymmfdOrder23(&beta3[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder21(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder22(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder23(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder21(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder22(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder23(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder21(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder22(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder23(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder21(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder22(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder23(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder21(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder22(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder23(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder21(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder22(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder23(&gt33[index]);
+        break;
+      
+      case 4:
+        PDupwindNthAnti1alpha = PDupwindNthAntifdOrder41(&alpha[index]);
+        PDupwindNthSymm1alpha = PDupwindNthSymmfdOrder41(&alpha[index]);
+        PDupwindNthAnti2alpha = PDupwindNthAntifdOrder42(&alpha[index]);
+        PDupwindNthSymm2alpha = PDupwindNthSymmfdOrder42(&alpha[index]);
+        PDupwindNthAnti3alpha = PDupwindNthAntifdOrder43(&alpha[index]);
+        PDupwindNthSymm3alpha = PDupwindNthSymmfdOrder43(&alpha[index]);
+        PDupwindNthAnti1beta1 = PDupwindNthAntifdOrder41(&beta1[index]);
+        PDupwindNthSymm1beta1 = PDupwindNthSymmfdOrder41(&beta1[index]);
+        PDupwindNthAnti2beta1 = PDupwindNthAntifdOrder42(&beta1[index]);
+        PDupwindNthSymm2beta1 = PDupwindNthSymmfdOrder42(&beta1[index]);
+        PDupwindNthAnti3beta1 = PDupwindNthAntifdOrder43(&beta1[index]);
+        PDupwindNthSymm3beta1 = PDupwindNthSymmfdOrder43(&beta1[index]);
+        PDupwindNthAnti1beta2 = PDupwindNthAntifdOrder41(&beta2[index]);
+        PDupwindNthSymm1beta2 = PDupwindNthSymmfdOrder41(&beta2[index]);
+        PDupwindNthAnti2beta2 = PDupwindNthAntifdOrder42(&beta2[index]);
+        PDupwindNthSymm2beta2 = PDupwindNthSymmfdOrder42(&beta2[index]);
+        PDupwindNthAnti3beta2 = PDupwindNthAntifdOrder43(&beta2[index]);
+        PDupwindNthSymm3beta2 = PDupwindNthSymmfdOrder43(&beta2[index]);
+        PDupwindNthAnti1beta3 = PDupwindNthAntifdOrder41(&beta3[index]);
+        PDupwindNthSymm1beta3 = PDupwindNthSymmfdOrder41(&beta3[index]);
+        PDupwindNthAnti2beta3 = PDupwindNthAntifdOrder42(&beta3[index]);
+        PDupwindNthSymm2beta3 = PDupwindNthSymmfdOrder42(&beta3[index]);
+        PDupwindNthAnti3beta3 = PDupwindNthAntifdOrder43(&beta3[index]);
+        PDupwindNthSymm3beta3 = PDupwindNthSymmfdOrder43(&beta3[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder41(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder42(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder43(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder41(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder42(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder43(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder41(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder42(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder43(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder41(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder42(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder43(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder41(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder42(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder43(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder41(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder42(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder43(&gt33[index]);
+        break;
+      
+      case 6:
+        PDupwindNthAnti1alpha = PDupwindNthAntifdOrder61(&alpha[index]);
+        PDupwindNthSymm1alpha = PDupwindNthSymmfdOrder61(&alpha[index]);
+        PDupwindNthAnti2alpha = PDupwindNthAntifdOrder62(&alpha[index]);
+        PDupwindNthSymm2alpha = PDupwindNthSymmfdOrder62(&alpha[index]);
+        PDupwindNthAnti3alpha = PDupwindNthAntifdOrder63(&alpha[index]);
+        PDupwindNthSymm3alpha = PDupwindNthSymmfdOrder63(&alpha[index]);
+        PDupwindNthAnti1beta1 = PDupwindNthAntifdOrder61(&beta1[index]);
+        PDupwindNthSymm1beta1 = PDupwindNthSymmfdOrder61(&beta1[index]);
+        PDupwindNthAnti2beta1 = PDupwindNthAntifdOrder62(&beta1[index]);
+        PDupwindNthSymm2beta1 = PDupwindNthSymmfdOrder62(&beta1[index]);
+        PDupwindNthAnti3beta1 = PDupwindNthAntifdOrder63(&beta1[index]);
+        PDupwindNthSymm3beta1 = PDupwindNthSymmfdOrder63(&beta1[index]);
+        PDupwindNthAnti1beta2 = PDupwindNthAntifdOrder61(&beta2[index]);
+        PDupwindNthSymm1beta2 = PDupwindNthSymmfdOrder61(&beta2[index]);
+        PDupwindNthAnti2beta2 = PDupwindNthAntifdOrder62(&beta2[index]);
+        PDupwindNthSymm2beta2 = PDupwindNthSymmfdOrder62(&beta2[index]);
+        PDupwindNthAnti3beta2 = PDupwindNthAntifdOrder63(&beta2[index]);
+        PDupwindNthSymm3beta2 = PDupwindNthSymmfdOrder63(&beta2[index]);
+        PDupwindNthAnti1beta3 = PDupwindNthAntifdOrder61(&beta3[index]);
+        PDupwindNthSymm1beta3 = PDupwindNthSymmfdOrder61(&beta3[index]);
+        PDupwindNthAnti2beta3 = PDupwindNthAntifdOrder62(&beta3[index]);
+        PDupwindNthSymm2beta3 = PDupwindNthSymmfdOrder62(&beta3[index]);
+        PDupwindNthAnti3beta3 = PDupwindNthAntifdOrder63(&beta3[index]);
+        PDupwindNthSymm3beta3 = PDupwindNthSymmfdOrder63(&beta3[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder61(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder62(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder63(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder61(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder62(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder63(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder61(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder62(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder63(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder61(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder62(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder63(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder61(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder62(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder63(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder61(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder62(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder63(&gt33[index]);
+        break;
+      
+      case 8:
+        PDupwindNthAnti1alpha = PDupwindNthAntifdOrder81(&alpha[index]);
+        PDupwindNthSymm1alpha = PDupwindNthSymmfdOrder81(&alpha[index]);
+        PDupwindNthAnti2alpha = PDupwindNthAntifdOrder82(&alpha[index]);
+        PDupwindNthSymm2alpha = PDupwindNthSymmfdOrder82(&alpha[index]);
+        PDupwindNthAnti3alpha = PDupwindNthAntifdOrder83(&alpha[index]);
+        PDupwindNthSymm3alpha = PDupwindNthSymmfdOrder83(&alpha[index]);
+        PDupwindNthAnti1beta1 = PDupwindNthAntifdOrder81(&beta1[index]);
+        PDupwindNthSymm1beta1 = PDupwindNthSymmfdOrder81(&beta1[index]);
+        PDupwindNthAnti2beta1 = PDupwindNthAntifdOrder82(&beta1[index]);
+        PDupwindNthSymm2beta1 = PDupwindNthSymmfdOrder82(&beta1[index]);
+        PDupwindNthAnti3beta1 = PDupwindNthAntifdOrder83(&beta1[index]);
+        PDupwindNthSymm3beta1 = PDupwindNthSymmfdOrder83(&beta1[index]);
+        PDupwindNthAnti1beta2 = PDupwindNthAntifdOrder81(&beta2[index]);
+        PDupwindNthSymm1beta2 = PDupwindNthSymmfdOrder81(&beta2[index]);
+        PDupwindNthAnti2beta2 = PDupwindNthAntifdOrder82(&beta2[index]);
+        PDupwindNthSymm2beta2 = PDupwindNthSymmfdOrder82(&beta2[index]);
+        PDupwindNthAnti3beta2 = PDupwindNthAntifdOrder83(&beta2[index]);
+        PDupwindNthSymm3beta2 = PDupwindNthSymmfdOrder83(&beta2[index]);
+        PDupwindNthAnti1beta3 = PDupwindNthAntifdOrder81(&beta3[index]);
+        PDupwindNthSymm1beta3 = PDupwindNthSymmfdOrder81(&beta3[index]);
+        PDupwindNthAnti2beta3 = PDupwindNthAntifdOrder82(&beta3[index]);
+        PDupwindNthSymm2beta3 = PDupwindNthSymmfdOrder82(&beta3[index]);
+        PDupwindNthAnti3beta3 = PDupwindNthAntifdOrder83(&beta3[index]);
+        PDupwindNthSymm3beta3 = PDupwindNthSymmfdOrder83(&beta3[index]);
+        PDstandardNth1gt11 = PDstandardNthfdOrder81(&gt11[index]);
+        PDstandardNth2gt11 = PDstandardNthfdOrder82(&gt11[index]);
+        PDstandardNth3gt11 = PDstandardNthfdOrder83(&gt11[index]);
+        PDstandardNth1gt12 = PDstandardNthfdOrder81(&gt12[index]);
+        PDstandardNth2gt12 = PDstandardNthfdOrder82(&gt12[index]);
+        PDstandardNth3gt12 = PDstandardNthfdOrder83(&gt12[index]);
+        PDstandardNth1gt13 = PDstandardNthfdOrder81(&gt13[index]);
+        PDstandardNth2gt13 = PDstandardNthfdOrder82(&gt13[index]);
+        PDstandardNth3gt13 = PDstandardNthfdOrder83(&gt13[index]);
+        PDstandardNth1gt22 = PDstandardNthfdOrder81(&gt22[index]);
+        PDstandardNth2gt22 = PDstandardNthfdOrder82(&gt22[index]);
+        PDstandardNth3gt22 = PDstandardNthfdOrder83(&gt22[index]);
+        PDstandardNth1gt23 = PDstandardNthfdOrder81(&gt23[index]);
+        PDstandardNth2gt23 = PDstandardNthfdOrder82(&gt23[index]);
+        PDstandardNth3gt23 = PDstandardNthfdOrder83(&gt23[index]);
+        PDstandardNth1gt33 = PDstandardNthfdOrder81(&gt33[index]);
+        PDstandardNth2gt33 = PDstandardNthfdOrder82(&gt33[index]);
+        PDstandardNth3gt33 = PDstandardNthfdOrder83(&gt33[index]);
+        break;
+    }
     
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC JacPDstandardNth1gt11;
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBase.cc b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBase.cc
index e5f5672..0bb15e6 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBase.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBase.cc
@@ -43,6 +43,20 @@ static void ML_BSSN_MP_convertToADMBase_Body(cGH const * restrict const cctkGH,
   const char *groups[] = {"ADMBase::curv","ADMBase::lapse","ADMBase::metric","ADMBase::shift","ML_BSSN_MP::ML_curv","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_log_confac","ML_BSSN_MP::ML_metric","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_trace_curv"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_convertToADMBase", 10, groups);
   
+  switch(fdOrder)
+  {
+    case 2:
+      break;
+    
+    case 4:
+      break;
+    
+    case 6:
+      break;
+    
+    case 8:
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -70,24 +84,84 @@ static void ML_BSSN_MP_convertToADMBase_Body(cGH const * restrict const cctkGH,
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -176,6 +250,21 @@ static void ML_BSSN_MP_convertToADMBase_Body(cGH const * restrict const cctkGH,
     
     /* Precompute derivatives */
     
+    switch(fdOrder)
+    {
+      case 2:
+        break;
+      
+      case 4:
+        break;
+      
+      case 6:
+        break;
+      
+      case 8:
+        break;
+    }
+    
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC e4phi = 
       IfThen(conformalMethod,INV(SQR(phiL)),kexp(kmul(phiL,ToReal(4))));
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.cc b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.cc
index 84a699e..c4221f2 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.cc
@@ -58,7 +58,24 @@ static void ML_BSSN_MP_convertToADMBaseDtLapseShift_Body(cGH const * restrict co
   const char *groups[] = {"ADMBase::dtlapse","ADMBase::dtshift","grid::coordinates","Grid::coordinates","ML_BSSN_MP::ML_dtlapse","ML_BSSN_MP::ML_dtshift","ML_BSSN_MP::ML_Gamma","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_trace_curv"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_convertToADMBaseDtLapseShift", 10, groups);
   
-  GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_convertToADMBaseDtLapseShift", 3, 3, 3);
+  switch(fdOrder)
+  {
+    case 2:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_convertToADMBaseDtLapseShift", 2, 2, 2);
+      break;
+    
+    case 4:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_convertToADMBaseDtLapseShift", 3, 3, 3);
+      break;
+    
+    case 6:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_convertToADMBaseDtLapseShift", 4, 4, 4);
+      break;
+    
+    case 8:
+      GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_MP_convertToADMBaseDtLapseShift", 5, 5, 5);
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -86,24 +103,84 @@ static void ML_BSSN_MP_convertToADMBaseDtLapseShift_Body(cGH const * restrict co
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -194,30 +271,141 @@ static void ML_BSSN_MP_convertToADMBaseDtLapseShift_Body(cGH const * restrict co
     /* Include user supplied include files */
     
     /* Precompute derivatives */
-    CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(&alpha[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(&beta1[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(&beta2[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(&beta3[index]);
-    CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(&beta3[index]);
+    CCTK_REAL_VEC PDupwindNthAnti1alpha;
+    CCTK_REAL_VEC PDupwindNthSymm1alpha;
+    CCTK_REAL_VEC PDupwindNthAnti2alpha;
+    CCTK_REAL_VEC PDupwindNthSymm2alpha;
+    CCTK_REAL_VEC PDupwindNthAnti3alpha;
+    CCTK_REAL_VEC PDupwindNthSymm3alpha;
+    CCTK_REAL_VEC PDupwindNthAnti1beta1;
+    CCTK_REAL_VEC PDupwindNthSymm1beta1;
+    CCTK_REAL_VEC PDupwindNthAnti2beta1;
+    CCTK_REAL_VEC PDupwindNthSymm2beta1;
+    CCTK_REAL_VEC PDupwindNthAnti3beta1;
+    CCTK_REAL_VEC PDupwindNthSymm3beta1;
+    CCTK_REAL_VEC PDupwindNthAnti1beta2;
+    CCTK_REAL_VEC PDupwindNthSymm1beta2;
+    CCTK_REAL_VEC PDupwindNthAnti2beta2;
+    CCTK_REAL_VEC PDupwindNthSymm2beta2;
+    CCTK_REAL_VEC PDupwindNthAnti3beta2;
+    CCTK_REAL_VEC PDupwindNthSymm3beta2;
+    CCTK_REAL_VEC PDupwindNthAnti1beta3;
+    CCTK_REAL_VEC PDupwindNthSymm1beta3;
+    CCTK_REAL_VEC PDupwindNthAnti2beta3;
+    CCTK_REAL_VEC PDupwindNthSymm2beta3;
+    CCTK_REAL_VEC PDupwindNthAnti3beta3;
+    CCTK_REAL_VEC PDupwindNthSymm3beta3;
+    
+    switch(fdOrder)
+    {
+      case 2:
+        PDupwindNthAnti1alpha = PDupwindNthAntifdOrder21(&alpha[index]);
+        PDupwindNthSymm1alpha = PDupwindNthSymmfdOrder21(&alpha[index]);
+        PDupwindNthAnti2alpha = PDupwindNthAntifdOrder22(&alpha[index]);
+        PDupwindNthSymm2alpha = PDupwindNthSymmfdOrder22(&alpha[index]);
+        PDupwindNthAnti3alpha = PDupwindNthAntifdOrder23(&alpha[index]);
+        PDupwindNthSymm3alpha = PDupwindNthSymmfdOrder23(&alpha[index]);
+        PDupwindNthAnti1beta1 = PDupwindNthAntifdOrder21(&beta1[index]);
+        PDupwindNthSymm1beta1 = PDupwindNthSymmfdOrder21(&beta1[index]);
+        PDupwindNthAnti2beta1 = PDupwindNthAntifdOrder22(&beta1[index]);
+        PDupwindNthSymm2beta1 = PDupwindNthSymmfdOrder22(&beta1[index]);
+        PDupwindNthAnti3beta1 = PDupwindNthAntifdOrder23(&beta1[index]);
+        PDupwindNthSymm3beta1 = PDupwindNthSymmfdOrder23(&beta1[index]);
+        PDupwindNthAnti1beta2 = PDupwindNthAntifdOrder21(&beta2[index]);
+        PDupwindNthSymm1beta2 = PDupwindNthSymmfdOrder21(&beta2[index]);
+        PDupwindNthAnti2beta2 = PDupwindNthAntifdOrder22(&beta2[index]);
+        PDupwindNthSymm2beta2 = PDupwindNthSymmfdOrder22(&beta2[index]);
+        PDupwindNthAnti3beta2 = PDupwindNthAntifdOrder23(&beta2[index]);
+        PDupwindNthSymm3beta2 = PDupwindNthSymmfdOrder23(&beta2[index]);
+        PDupwindNthAnti1beta3 = PDupwindNthAntifdOrder21(&beta3[index]);
+        PDupwindNthSymm1beta3 = PDupwindNthSymmfdOrder21(&beta3[index]);
+        PDupwindNthAnti2beta3 = PDupwindNthAntifdOrder22(&beta3[index]);
+        PDupwindNthSymm2beta3 = PDupwindNthSymmfdOrder22(&beta3[index]);
+        PDupwindNthAnti3beta3 = PDupwindNthAntifdOrder23(&beta3[index]);
+        PDupwindNthSymm3beta3 = PDupwindNthSymmfdOrder23(&beta3[index]);
+        break;
+      
+      case 4:
+        PDupwindNthAnti1alpha = PDupwindNthAntifdOrder41(&alpha[index]);
+        PDupwindNthSymm1alpha = PDupwindNthSymmfdOrder41(&alpha[index]);
+        PDupwindNthAnti2alpha = PDupwindNthAntifdOrder42(&alpha[index]);
+        PDupwindNthSymm2alpha = PDupwindNthSymmfdOrder42(&alpha[index]);
+        PDupwindNthAnti3alpha = PDupwindNthAntifdOrder43(&alpha[index]);
+        PDupwindNthSymm3alpha = PDupwindNthSymmfdOrder43(&alpha[index]);
+        PDupwindNthAnti1beta1 = PDupwindNthAntifdOrder41(&beta1[index]);
+        PDupwindNthSymm1beta1 = PDupwindNthSymmfdOrder41(&beta1[index]);
+        PDupwindNthAnti2beta1 = PDupwindNthAntifdOrder42(&beta1[index]);
+        PDupwindNthSymm2beta1 = PDupwindNthSymmfdOrder42(&beta1[index]);
+        PDupwindNthAnti3beta1 = PDupwindNthAntifdOrder43(&beta1[index]);
+        PDupwindNthSymm3beta1 = PDupwindNthSymmfdOrder43(&beta1[index]);
+        PDupwindNthAnti1beta2 = PDupwindNthAntifdOrder41(&beta2[index]);
+        PDupwindNthSymm1beta2 = PDupwindNthSymmfdOrder41(&beta2[index]);
+        PDupwindNthAnti2beta2 = PDupwindNthAntifdOrder42(&beta2[index]);
+        PDupwindNthSymm2beta2 = PDupwindNthSymmfdOrder42(&beta2[index]);
+        PDupwindNthAnti3beta2 = PDupwindNthAntifdOrder43(&beta2[index]);
+        PDupwindNthSymm3beta2 = PDupwindNthSymmfdOrder43(&beta2[index]);
+        PDupwindNthAnti1beta3 = PDupwindNthAntifdOrder41(&beta3[index]);
+        PDupwindNthSymm1beta3 = PDupwindNthSymmfdOrder41(&beta3[index]);
+        PDupwindNthAnti2beta3 = PDupwindNthAntifdOrder42(&beta3[index]);
+        PDupwindNthSymm2beta3 = PDupwindNthSymmfdOrder42(&beta3[index]);
+        PDupwindNthAnti3beta3 = PDupwindNthAntifdOrder43(&beta3[index]);
+        PDupwindNthSymm3beta3 = PDupwindNthSymmfdOrder43(&beta3[index]);
+        break;
+      
+      case 6:
+        PDupwindNthAnti1alpha = PDupwindNthAntifdOrder61(&alpha[index]);
+        PDupwindNthSymm1alpha = PDupwindNthSymmfdOrder61(&alpha[index]);
+        PDupwindNthAnti2alpha = PDupwindNthAntifdOrder62(&alpha[index]);
+        PDupwindNthSymm2alpha = PDupwindNthSymmfdOrder62(&alpha[index]);
+        PDupwindNthAnti3alpha = PDupwindNthAntifdOrder63(&alpha[index]);
+        PDupwindNthSymm3alpha = PDupwindNthSymmfdOrder63(&alpha[index]);
+        PDupwindNthAnti1beta1 = PDupwindNthAntifdOrder61(&beta1[index]);
+        PDupwindNthSymm1beta1 = PDupwindNthSymmfdOrder61(&beta1[index]);
+        PDupwindNthAnti2beta1 = PDupwindNthAntifdOrder62(&beta1[index]);
+        PDupwindNthSymm2beta1 = PDupwindNthSymmfdOrder62(&beta1[index]);
+        PDupwindNthAnti3beta1 = PDupwindNthAntifdOrder63(&beta1[index]);
+        PDupwindNthSymm3beta1 = PDupwindNthSymmfdOrder63(&beta1[index]);
+        PDupwindNthAnti1beta2 = PDupwindNthAntifdOrder61(&beta2[index]);
+        PDupwindNthSymm1beta2 = PDupwindNthSymmfdOrder61(&beta2[index]);
+        PDupwindNthAnti2beta2 = PDupwindNthAntifdOrder62(&beta2[index]);
+        PDupwindNthSymm2beta2 = PDupwindNthSymmfdOrder62(&beta2[index]);
+        PDupwindNthAnti3beta2 = PDupwindNthAntifdOrder63(&beta2[index]);
+        PDupwindNthSymm3beta2 = PDupwindNthSymmfdOrder63(&beta2[index]);
+        PDupwindNthAnti1beta3 = PDupwindNthAntifdOrder61(&beta3[index]);
+        PDupwindNthSymm1beta3 = PDupwindNthSymmfdOrder61(&beta3[index]);
+        PDupwindNthAnti2beta3 = PDupwindNthAntifdOrder62(&beta3[index]);
+        PDupwindNthSymm2beta3 = PDupwindNthSymmfdOrder62(&beta3[index]);
+        PDupwindNthAnti3beta3 = PDupwindNthAntifdOrder63(&beta3[index]);
+        PDupwindNthSymm3beta3 = PDupwindNthSymmfdOrder63(&beta3[index]);
+        break;
+      
+      case 8:
+        PDupwindNthAnti1alpha = PDupwindNthAntifdOrder81(&alpha[index]);
+        PDupwindNthSymm1alpha = PDupwindNthSymmfdOrder81(&alpha[index]);
+        PDupwindNthAnti2alpha = PDupwindNthAntifdOrder82(&alpha[index]);
+        PDupwindNthSymm2alpha = PDupwindNthSymmfdOrder82(&alpha[index]);
+        PDupwindNthAnti3alpha = PDupwindNthAntifdOrder83(&alpha[index]);
+        PDupwindNthSymm3alpha = PDupwindNthSymmfdOrder83(&alpha[index]);
+        PDupwindNthAnti1beta1 = PDupwindNthAntifdOrder81(&beta1[index]);
+        PDupwindNthSymm1beta1 = PDupwindNthSymmfdOrder81(&beta1[index]);
+        PDupwindNthAnti2beta1 = PDupwindNthAntifdOrder82(&beta1[index]);
+        PDupwindNthSymm2beta1 = PDupwindNthSymmfdOrder82(&beta1[index]);
+        PDupwindNthAnti3beta1 = PDupwindNthAntifdOrder83(&beta1[index]);
+        PDupwindNthSymm3beta1 = PDupwindNthSymmfdOrder83(&beta1[index]);
+        PDupwindNthAnti1beta2 = PDupwindNthAntifdOrder81(&beta2[index]);
+        PDupwindNthSymm1beta2 = PDupwindNthSymmfdOrder81(&beta2[index]);
+        PDupwindNthAnti2beta2 = PDupwindNthAntifdOrder82(&beta2[index]);
+        PDupwindNthSymm2beta2 = PDupwindNthSymmfdOrder82(&beta2[index]);
+        PDupwindNthAnti3beta2 = PDupwindNthAntifdOrder83(&beta2[index]);
+        PDupwindNthSymm3beta2 = PDupwindNthSymmfdOrder83(&beta2[index]);
+        PDupwindNthAnti1beta3 = PDupwindNthAntifdOrder81(&beta3[index]);
+        PDupwindNthSymm1beta3 = PDupwindNthSymmfdOrder81(&beta3[index]);
+        PDupwindNthAnti2beta3 = PDupwindNthAntifdOrder82(&beta3[index]);
+        PDupwindNthSymm2beta3 = PDupwindNthSymmfdOrder82(&beta3[index]);
+        PDupwindNthAnti3beta3 = PDupwindNthAntifdOrder83(&beta3[index]);
+        PDupwindNthSymm3beta3 = PDupwindNthSymmfdOrder83(&beta3[index]);
+        break;
+    }
     
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC JacPDupwindNthAnti1alpha;
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.cc b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.cc
index 85bd513..77b1b64 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.cc
@@ -58,6 +58,20 @@ static void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * res
   const char *groups[] = {"ADMBase::dtlapse","ADMBase::dtshift","grid::coordinates","Grid::coordinates","ML_BSSN_MP::ML_dtlapse","ML_BSSN_MP::ML_dtshift","ML_BSSN_MP::ML_Gamma","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_trace_curv"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary", 10, groups);
   
+  switch(fdOrder)
+  {
+    case 2:
+      break;
+    
+    case 4:
+      break;
+    
+    case 6:
+      break;
+    
+    case 8:
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -85,24 +99,84 @@ static void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * res
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -180,6 +254,21 @@ static void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * res
     
     /* Precompute derivatives */
     
+    switch(fdOrder)
+    {
+      case 2:
+        break;
+      
+      case 4:
+        break;
+      
+      case 6:
+        break;
+      
+      case 8:
+        break;
+    }
+    
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC eta = 
       kfmin(ToReal(1),kmul(INV(rL),ToReal(SpatialBetaDriverRadius)));
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.cc b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.cc
index c24d7be..ca3f5f7 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.cc
@@ -43,6 +43,20 @@ static void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift_Body(cGH const * restric
   const char *groups[] = {"ADMBase::dtlapse","ADMBase::dtshift","grid::coordinates","Grid::coordinates","ML_BSSN_MP::ML_dtlapse","ML_BSSN_MP::ML_dtshift","ML_BSSN_MP::ML_Gamma","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_shift","ML_BSSN_MP::ML_trace_curv"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_convertToADMBaseFakeDtLapseShift", 10, groups);
   
+  switch(fdOrder)
+  {
+    case 2:
+      break;
+    
+    case 4:
+      break;
+    
+    case 6:
+      break;
+    
+    case 8:
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -70,24 +84,84 @@ static void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift_Body(cGH const * restric
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -165,6 +239,21 @@ static void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift_Body(cGH const * restric
     
     /* Precompute derivatives */
     
+    switch(fdOrder)
+    {
+      case 2:
+        break;
+      
+      case 4:
+        break;
+      
+      case 6:
+        break;
+      
+      case 8:
+        break;
+    }
+    
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC eta = 
       kfmin(ToReal(1),kmul(INV(rL),ToReal(SpatialBetaDriverRadius)));
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_enforce.cc b/ML_BSSN_MP/src/ML_BSSN_MP_enforce.cc
index 7fc808f..cf08683 100644
--- a/ML_BSSN_MP/src/ML_BSSN_MP_enforce.cc
+++ b/ML_BSSN_MP/src/ML_BSSN_MP_enforce.cc
@@ -43,6 +43,20 @@ static void ML_BSSN_MP_enforce_Body(cGH const * restrict const cctkGH, int const
   const char *groups[] = {"ML_BSSN_MP::ML_curv","ML_BSSN_MP::ML_lapse","ML_BSSN_MP::ML_metric"};
   GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_MP_enforce", 3, groups);
   
+  switch(fdOrder)
+  {
+    case 2:
+      break;
+    
+    case 4:
+      break;
+    
+    case 6:
+      break;
+    
+    case 8:
+      break;
+  }
   
   /* Include user-supplied include files */
   
@@ -70,24 +84,84 @@ static void ML_BSSN_MP_enforce_Body(cGH const * restrict const cctkGH, int const
   CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
   
   /* Initialize predefined quantities */
+  CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625));
+  CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
   CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
   CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
+  CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238));
+  CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625));
+  CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556));
+  CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556));
   CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
   CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
+  CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625));
+  CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5));
+  CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5));
+  CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o3600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.000277777777777777777777777777778)));
+  CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25));
+  CCTK_REAL_VEC const p1o4dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.25)));
+  CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25));
+  CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413));
+  CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571));
+  CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667));
   CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
   CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
+  CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o705600dydz = kmul(INV(dy),kmul(INV(dz),ToReal(1.41723356009070294784580498866e-6)));
+  CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048));
+  CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048));
   CCTK_REAL_VEC const p1odx = INV(dx);
+  CCTK_REAL_VEC const p1odx2 = INV(SQR(dx));
   CCTK_REAL_VEC const p1ody = INV(dy);
+  CCTK_REAL_VEC const p1ody2 = INV(SQR(dy));
   CCTK_REAL_VEC const p1odz = INV(dz);
+  CCTK_REAL_VEC const p1odz2 = INV(SQR(dz));
+  CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
   CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
+  CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5));
+  CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25));
+  CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667));
+  CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667));
   
   /* Jacobian variable pointers */
   bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
@@ -165,6 +239,21 @@ static void ML_BSSN_MP_enforce_Body(cGH const * restrict const cctkGH, int const
     
     /* Precompute derivatives */
     
+    switch(fdOrder)
+    {
+      case 2:
+        break;
+      
+      case 4:
+        break;
+      
+      case 6:
+        break;
+      
+      case 8:
+        break;
+    }
+    
     /* Calculate temporaries and grid functions */
     CCTK_REAL_VEC detgt = ToReal(1);