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Diffstat (limited to 'src/gr.cg/expansion_Jacobian.c')
-rw-r--r--src/gr.cg/expansion_Jacobian.c1253
1 files changed, 628 insertions, 625 deletions
diff --git a/src/gr.cg/expansion_Jacobian.c b/src/gr.cg/expansion_Jacobian.c
index b5d2427..1017901 100644
--- a/src/gr.cg/expansion_Jacobian.c
+++ b/src/gr.cg/expansion_Jacobian.c
@@ -1,628 +1,631 @@
/*
- * inputs = {r, partial_d_ln_sqrt_g, partial_d_g_uu, X_ud, X_udd, g_uu, K_uu, Theta_A, Theta_B, Theta_C, Theta_D, h}
- * outputs = {partial_Theta_wrt_partial_d_h, partial_Theta_wrt_partial_dd_h}
- * cost = 458*assignments+1692*multiplications+10*divisions+7*functions+729*additions
+ * inputs = {partial_d_ln_sqrt_g, partial_d_g_uu, r, X_ud, X_udd, g_uu, K_uu, Theta_A, Theta_B, Theta_C, Theta_D, h}
+ * outputs = {partial_Theta_X_wrt_partial_d_h, partial_Theta_Y_wrt_partial_d_h, partial_Theta_X_wrt_partial_dd_h, partial_Theta_Y_wrt_partial_dd_h}
+ * cost = 466*assignments+10*divisions+7*functions+1722*multiplications+728*additions
*/
-fp t1, t2, t3, t4, t5, t7, t8, t10, t11, t13;
-fp t14, t16, t18, t20, t22, t24, t26, t28, t29, t31;
-fp t32, t35, t37, t38, t41, t42, t43, t46, t48, t52;
-fp t54, t55, t59, t60, t63, t67, t68, t69, t70, t71;
-fp t74, t76, t78, t80, t83, t85, t86, t92, t93, t94;
-fp t98, t99, t102, t103, t104, t107, t108, t112, t113, t114;
-fp t115, t116, t118, t119, t120, t122, t123, t126, t127, t128;
-fp t133, t136, t140, t141, t142, t143, t153, t156, t158, t160;
-fp t162, t165, t167, t168, t171, t172, t173, t174, t179, t183;
-fp t185, t189, t190, t193, t194, t195, t197, t198, t202, t205;
-fp t208, t209, t212, t216, t217, t218, t220, t222, t223, t224;
-fp t226, t227, t232, t235, t236, t237, t238, t240, t247, t248;
-fp t249, t254, t259, t263, t266, t267, t275, t278, t281, t284;
-fp t287, t288, t291, t296, t297, t298, t300, t307, t309, t311;
-fp t314, t316, t317, t322, t325, t326, t329, t334, t335, t336;
-fp t340, t346, t350, t351, t352, t354, t357, t358, t359, t361;
-fp t364, t365, t366, t368, t370, t373, t374, t376, t381, t385;
-fp t386, t392, t398, t401, t404, t405, t407, t408, t411, t414;
-fp t416, t417, t419, t421, t422, t424, t428, t431, t432, t434;
-fp t437, t440, t442, t449, t454, t458, t461, t467, t470, t471;
-fp t474, t475, t481, t485, t489, t494, t498, t503, t504, t505;
-fp t507, t514, t518, t534, t536, t542, t545, t548, t551, t552;
-fp t559, t561, t562, t565, t569, t571, t572, t573, t575, t576;
-fp t588, t589, t590, t593, t594, t599, t601, t605, t608, t609;
-fp t612, t613, t627, t632, t633, t640, t644, t652, t656, t664;
-fp t669, t672, t677, t678, t680, t694, t704, t707, t712, t716;
-fp t723, t738, t741, t746, t748, t750, t774, t776, t780, t785;
-fp t787, t792, t796, t797, t799, t800, t802, t803, t805, t807;
-fp t809, t811, t813, t815, t817, t819, t822, t824, t827, t829;
-fp t832, t835, t837, t840, t843, t847, t860, t869, t871, t876;
-fp t882, t886, t890, t891, t897, t899, t900, t902, t904, t905;
-fp t907, t913, t920, t929, t930, t933, t938, t944, t947, t949;
-fp t962, t970, t971, t976, t979, t983, t996, t997, t1000, t1001;
-fp t1004, t1010, t1012, t1015, t1033, t1036, t1039, t1047, t1048, t1050;
-fp t1062, t1065, t1070, t1074, t1075, t1078, t1080, t1082, t1087, t1093;
-fp t1095, t1097, t1103, t1107, t1112, t1114, t1138, t1139, t1141, t1145;
-fp t1150, t1163, t1166, t1169, t1174, t1186, t1189, t1192, t1200, t1214;
-fp t1234, t1266, t1281, t1289, t1300, t1301, t1308, t1335, t1342, t1345;
-fp t1364, t1370, t1405, t1414, t1427, t1457, t1460, t1463, t1465, t1469;
-fp t1475, t1476, t1477, t1483, t1486, t1487, t1491, t1492, t1493, t1497;
-fp t1505, t1508, t1510, t1513, t1516, t1517, t1520, t1526, t1536, t1547;
-fp t1552, t1555, t1558, t1561, t1572, t1580, t1594, t1600, t1606, t1610;
-fp t1622, t1629, t1639, t1641, t1643, t1645, t1648, t1655, t1659, t1660;
-fp t1666, t1667, t1684, t1697, t1704, t1718, t1721, t1739, t1748, t1751;
-fp t1757, t1760, t1761, t1768, t1771, t1783, t1785, t1788, t1791, t1803;
-fp t1809, t1812, t1825;
+fp t1, t2, t4, t5, t7, t8, t10, t11, t12, t14;
+fp t16, t18, t19, t20, t24, t25, t26, t28, t30, t32;
+fp t34, t36, t38, t40, t41, t42, t44, t47, t49, t50;
+fp t53, t54, t55, t56, t59, t60, t61, t68, t69, t70;
+fp t71, t75, t76, t79, t80, t81, t87, t91, t93, t97;
+fp t98, t101, t102, t108, t109, t112, t113, t114, t115, t117;
+fp t118, t119, t120, t123, t124, t126, t127, t128, t131, t133;
+fp t136, t137, t139, t140, t144, t146, t148, t151, t153, t154;
+fp t157, t160, t161, t162, t165, t166, t167, t169, t170, t171;
+fp t173, t177, t178, t179, t181, t184, t186, t190, t192, t196;
+fp t197, t198, t201, t203, t206, t207, t208, t209, t212, t213;
+fp t216, t218, t221, t222, t223, t226, t227, t228, t230, t232;
+fp t235, t237, t239, t241, t244, t246, t247, t251, t252, t254;
+fp t255, t257, t258, t262, t263, t265, t269, t271, t272, t273;
+fp t275, t278, t279, t284, t287, t288, t291, t294, t295, t298;
+fp t301, t307, t311, t312, t314, t317, t318, t322, t328, t330;
+fp t333, t337, t339, t341, t345, t357, t360, t363, t364, t365;
+fp t370, t372, t374, t377, t379, t380, t383, t384, t385, t387;
+fp t390, t397, t400, t405, t408, t410, t411, t412, t414, t419;
+fp t427, t430, t433, t436, t439, t443, t446, t447, t448, t451;
+fp t452, t454, t457, t458, t459, t462, t465, t471, t474, t478;
+fp t479, t481, t485, t489, t493, t499, t503, t508, t511, t513;
+fp t514, t521, t528, t534, t537, t539, t544, t550, t553, t556;
+fp t560, t564, t565, t574, t580, t582, t587, t595, t611, t616;
+fp t625, t627, t628, t629, t631, t632, t637, t639, t648, t652;
+fp t663, t676, t680, t681, t682, t698, t703, t709, t715, t718;
+fp t731, t735, t740, t742, t745, t747, t751, t759, t785, t790;
+fp t792, t797, t801, t802, t804, t805, t807, t808, t810, t812;
+fp t814, t816, t818, t820, t822, t824, t836, t837, t844, t846;
+fp t847, t849, t850, t852, t854, t856, t858, t860, t862, t866;
+fp t868, t873, t877, t879, t881, t884, t886, t890, t894, t895;
+fp t898, t902, t905, t910, t912, t914, t921, t926, t931, t934;
+fp t938, t940, t944, t946, t947, t950, t951, t956, t960, t964;
+fp t967, t970, t973, t976, t980, t983, t986, t991, t994, t999;
+fp t1005, t1009, t1012, t1015, t1016, t1024, t1030, t1034, t1037, t1044;
+fp t1057, t1066, t1076, t1089, t1101, t1112, t1123, t1130, t1143, t1162;
+fp t1172, t1185, t1206, t1230, t1236, t1272, t1283, t1313, t1326, t1332;
+fp t1341, t1346, t1351, t1380, t1389, t1402, t1415, t1418, t1420, t1423;
+fp t1425, t1428, t1431, t1433, t1436, t1439, t1443, t1446, t1465, t1466;
+fp t1467, t1470, t1476, t1477, t1478, t1481, t1484, t1485, t1490, t1497;
+fp t1500, t1501, t1504, t1506, t1511, t1514, t1518, t1524, t1532, t1537;
+fp t1540, t1543, t1556, t1560, t1567, t1568, t1582, t1585, t1588, t1600;
+fp t1601, t1606, t1610, t1613, t1631, t1635, t1641, t1646, t1652, t1662;
+fp t1668, t1673, t1674, t1688, t1694, t1695, t1704, t1705, t1711, t1739;
+fp t1749, t1752, t1755, t1766, t1769, t1772, t1777, t1782, t1791, t1794;
+fp t1803, t1809, t1819, t1830, t1834, t1855;
t1 = g_uu_13;
- t2 = X_ud_13;
- t3 = t1*t2;
- t4 = g_uu_12;
- t5 = 1/r;
- t7 = X_ud_11;
- t8 = PARTIAL_RHO(h);
- t10 = X_ud_21;
- t11 = PARTIAL_SIGMA(h);
- t13 = xx*t5-t7*t8-t10*t11;
- t14 = t4*t13;
- t16 = r*r;
- t18 = 1/t16/r;
- t20 = X_udd_112;
- t22 = X_udd_212;
- t24 = X_ud_12;
- t26 = PARTIAL_RHO_RHO(h);
- t28 = t10*t24;
- t29 = PARTIAL_RHO_SIGMA(h);
- t31 = X_ud_22;
- t32 = t7*t31;
- t35 = PARTIAL_SIGMA_SIGMA(h);
- t37 = -xx*yy*t18-t20*t8-t22*t11-t7*t24*t26-t28*t29-t32*t29-t10*t31*t35;
- t38 = t14*t37;
- t41 = g_uu_22;
- t42 = t41*t24;
- t43 = t1*t13;
- t46 = X_udd_123;
- t48 = X_udd_223;
- t52 = t31*t2;
- t54 = X_ud_23;
- t55 = t24*t54;
- t59 = -yy*zz*t18-t46*t8-t48*t11-t24*t2*t26-t52*t29-t55*t29-t31*t54*t35;
- t60 = t43*t59;
- t63 = g_uu_23;
- t67 = yy*t5-t24*t8-t31*t11;
- t68 = t63*t67;
- t69 = t1*t7;
- t70 = xx*xx;
- t71 = yy*yy;
- t74 = X_udd_133;
- t76 = X_udd_233;
- t78 = t2*t2;
- t80 = t54*t2;
- t83 = t54*t54;
- t85 = (t70+t71)*t18-t74*t8-t76*t11-t78*t26-2.0*t80*t29-t83*t35;
- t86 = t69*t85;
- t92 = zz*t5-t2*t8-t54*t11;
- t93 = t63*t92;
- t94 = t4*t67;
- t98 = t41*t67;
- t99 = t69*t59;
- t102 = g_uu_33;
- t103 = t102*t92;
- t104 = t43*t74;
- t107 = t1*t92;
- t108 = t4*t7;
- t112 = g_uu_11;
- t113 = t112*t13;
- t114 = partial_d_g_uu_123;
- t115 = t114*t2;
- t116 = t115*t67;
- t118 = partial_d_g_uu_211;
- t119 = t118*t13;
- t120 = t119*t7;
- t122 = t63*t2;
- t123 = t94*t37;
- t126 = partial_d_g_uu_122;
- t127 = t126*t67;
- t128 = t127*t24;
- t133 = t98*t37;
- t136 = X_udd_113;
- t140 = 2.0*t3*t38+2.0*t42*t60+2.0*t68*t86+2.0*t93*t94*t20+2.0*t98*t99+2.0
-*t103*t104+2.0*t107*t108*t37+t113*t116+t93*t120+2.0*t122*t123+t113*t128+2.0*
-t107*t14*t20+2.0*t3*t133+2.0*t107*t68*t136;
- t141 = partial_d_g_uu_311;
- t142 = t141*t13;
- t143 = t142*t7;
- t153 = zz*zz;
- t156 = X_udd_122;
- t158 = X_udd_222;
- t160 = t24*t24;
- t162 = t31*t24;
- t165 = t31*t31;
- t167 = (t70+t153)*t18-t156*t8-t158*t11-t160*t26-2.0*t162*t29-t165*t35;
- t168 = t108*t167;
- t171 = t13*t13;
- t172 = t112*t171;
- t173 = partial_d_g_uu_112;
- t174 = t173*t24;
- t179 = X_udd_213;
- t183 = t10*t2;
- t185 = t7*t54;
- t189 = -xx*zz*t18-t136*t8-t179*t11-t7*t2*t26-t183*t29-t185*t29-t10*t54*
-t35;
- t190 = t68*t189;
- t193 = t112*t7;
- t194 = t114*t92;
- t195 = t194*t67;
- t197 = t4*t4;
- t198 = t197*t67;
- t202 = t108*t59;
- t205 = t193*t37;
- t208 = t102*t2;
- t209 = t14*t59;
- t212 = t63*t24;
- t216 = t63*t63;
- t217 = t92*t92;
- t218 = t216*t217;
- t220 = t103*t143+2.0*t94*t43*t136+2.0*t107*t98*t20+2.0*t68*t104+2.0*t93*
-t168+t172*t174+2.0*t3*t190+t193*t195+2.0*t198*t7*t37+2.0*t103*t202+2.0*t93*t205
-+2.0*t208*t209+2.0*t107*t212*t189+t218*t156;
- t222 = t1*t1;
- t223 = t222*t217;
- t224 = X_udd_111;
- t226 = t102*t102;
- t227 = t226*t217;
- t232 = t113*t189;
- t235 = t67*t67;
- t236 = t41*t235;
- t237 = partial_d_g_uu_223;
- t238 = t237*t2;
- t240 = t194*t24;
- t247 = partial_d_g_uu_333;
- t248 = t247*t92;
- t249 = t248*t2;
- t254 = t113*t136;
- t259 = t1*t171;
- t263 = t193*t189;
- t266 = t223*t224+t227*t74+2.0*t107*t42*t37+2.0*t208*t232+t236*t238+t113*
-t240+2.0*t93*t98*t156+2.0*t68*t202+t43*t249+2.0*t93*t42*t167+2.0*t103*t254+2.0*
-t212*t209+2.0*t259*t4*t46+2.0*t103*t263;
- t267 = t98*t167;
- t275 = t14*t46;
- t278 = t43*t46;
- t281 = t113*t224;
- t284 = t113*t37;
- t287 = t102*t217;
- t288 = t63*t46;
- t291 = t113*t20;
- t296 = partial_d_g_uu_312;
- t297 = t296*t67;
- t298 = t297*t13;
- t300 = t222*t92;
- t307 = X_udd_211;
- t309 = t7*t7;
- t311 = t10*t7;
- t314 = t10*t10;
- t316 = (t71+t153)*t18-t224*t8-t307*t11-t309*t26-2.0*t311*t29-t314*t35;
- t317 = t113*t316;
- t322 = 2.0*t122*t267+2.0*t94*t69*t189+4.0*t43*t263+2.0*t103*t275+2.0*t98*
-t278+2.0*t107*t281+2.0*t122*t284+2.0*t287*t288+2.0*t93*t291+2.0*t68*t275+t208*
-t298+2.0*t300*t7*t189+2.0*t3*t317+2.0*t103*t86;
- t325 = t4*t24;
- t326 = t325*t189;
- t329 = t43*t85;
- t334 = partial_d_g_uu_313;
- t335 = t334*t92;
- t336 = t335*t13;
- t340 = t335*t7;
- t346 = t63*t59;
- t350 = partial_d_g_uu_111;
- t351 = t350*t13;
- t352 = t351*t7;
- t354 = t193*t316;
- t357 = partial_d_g_uu_113;
- t358 = t357*t2;
- t359 = t358*t13;
- t361 = t94*t189;
- t364 = partial_d_g_uu_323;
- t365 = t364*t2;
- t366 = t365*t67;
- t368 = 2.0*t103*t326+2.0*t208*t329+2.0*t212*t329+t212*t336+4.0*t68*t326+
-t68*t340+2.0*t93*t278+4.0*t43*t202+4.0*t103*t346*t2+t94*t352+2.0*t107*t354+t94*
-t359+2.0*t208*t361+t43*t366;
- t370 = t41*t59*t24;
- t373 = t357*t92;
- t374 = t373*t13;
- t376 = t1*t189;
- t381 = t63*t235;
- t385 = partial_d_g_uu_133;
- t386 = t385*t217;
- t392 = t4*t20;
- t398 = t350*t171;
- t401 = t118*t171;
- t404 = t334*t2;
- t405 = t404*t13;
- t407 = t4*t37;
- t408 = t407*t24;
- t411 = t43*t189;
- t414 = 4.0*t68*t370+t325*t374+4.0*t103*t376*t2+t98*t120+2.0*t381*t41*t46+
-RATIONAL(1.0,2.0)*t193*t386+2.0*t381*t4*t136+2.0*t236*t392+2.0*t259*t112*t136+
-RATIONAL(1.0,2.0)*t3*t398+RATIONAL(1.0,2.0)*t122*t401+t68*t405+4.0*t98*t408+2.0
-*t325*t411;
- t416 = t364*t92;
- t417 = t416*t67;
- t419 = t297*t7;
- t421 = t296*t24;
- t422 = t421*t13;
- t424 = t1*t37;
- t428 = t94*t316;
- t431 = t41*t41;
- t432 = t431*t235;
- t434 = t126*t235;
- t437 = t247*t217;
- t440 = t416*t24;
- t442 = t373*t7;
- t449 = t431*t67;
- t454 = t69*t417+t103*t419+t103*t422+4.0*t93*t424*t2+2.0*t3*t428+t432*t156
-+RATIONAL(1.0,2.0)*t193*t434+RATIONAL(1.0,2.0)*t69*t437+t43*t440+t94*t442+2.0*
-t300*t13*t136+t381*t296*t7+2.0*t449*t167*t24+t259*t421;
- t458 = t350*t7;
- t461 = t4*t235;
- t467 = t13*t189;
- t470 = t237*t92;
- t471 = t470*t24;
- t474 = t385*t92;
- t475 = t474*t2;
- t481 = t13*t37;
- t485 = t67*t59;
- t489 = t238*t67;
- t494 = RATIONAL(3.0,2.0)*t259*t141*t7+RATIONAL(3.0,2.0)*t172*t458+t461*
-t115+2.0*t198*t13*t20+2.0*t222*t2*t467+2.0*t98*t471+t113*t475+2.0*t107*t94*t224
-+2.0*t197*t24*t481+2.0*t216*t2*t485+t68*t249+t14*t489+t107*t128+2.0*t93*t99;
- t498 = t470*t67;
- t503 = partial_d_g_uu_233;
- t504 = t503*t92;
- t505 = t504*t2;
- t507 = t4*t171;
- t514 = t216*t92;
- t518 = t334*t7;
- t534 = t108*t498+2.0*t103*t94*t136+t14*t505+RATIONAL(3.0,2.0)*t507*t118*
-t7+2.0*t107*t325*t316+2.0*t514*t24*t59+t287*t518+t259*t404+RATIONAL(3.0,2.0)*
-t461*t126*t24+2.0*t514*t67*t46+RATIONAL(1.0,2.0)*t3*t434+2.0*t68*t440+t172*t358
-+2.0*t68*t422;
- t536 = partial_d_g_uu_213;
- t542 = t98*t59;
- t545 = t68*t85;
- t548 = t216*t235;
- t551 = t536*t13;
- t552 = t551*t2;
- t559 = t174*t13;
- t561 = t536*t92;
- t562 = t561*t7;
- t565 = t226*t92;
- t569 = t94*t475+t507*t536*t2+2.0*t43*t340+t14*t471+2.0*t208*t542+2.0*t208
-*t545+t548*t74+t98*t505+2.0*t93*t552+2.0*t94*t240+2.0*t113*t442+t107*t559+2.0*
-t14*t562+2.0*t565*t85*t2;
- t571 = partial_d_g_uu_322;
- t572 = t571*t67;
- t573 = t572*t24;
- t575 = t173*t67;
- t576 = t575*t13;
- t588 = partial_d_g_uu_212;
- t589 = t588*t24;
- t590 = t589*t13;
- t593 = t588*t67;
- t594 = t593*t13;
- t599 = t575*t7;
- t601 = t63*t217;
- t605 = t141*t171;
- t608 = t43*t573+t3*t576+2.0*t103*t405+2.0*t43*t419+t103*t573+2.0*t107*
-t359+2.0*t514*t167*t2+t93*t590+t381*t365+t122*t594+2.0*t103*t98*t46+t107*t599+
-2.0*t601*t1*t20+RATIONAL(1.0,2.0)*t208*t605;
- t609 = t593*t7;
- t612 = partial_d_g_uu_222;
- t613 = t612*t24;
- t627 = t588*t7;
- t632 = t612*t67;
- t633 = t632*t24;
- t640 = t216*t67;
- t644 = 2.0*t14*t609+RATIONAL(3.0,2.0)*t236*t613+t93*t609+2.0*t113*t599+
-RATIONAL(1.0,2.0)*t42*t401+2.0*t107*t116+RATIONAL(1.0,2.0)*t325*t398+2.0*t103*
-t366+t236*t627+2.0*t103*t212*t85+t14*t633+2.0*t93*t489+RATIONAL(3.0,2.0)*t381*
-t571*t24+2.0*t640*t85*t24;
- t652 = t364*t24;
- t656 = t1*t217;
- t664 = t247*t2;
- t669 = t1*t136;
- t672 = t503*t217;
- t677 = t112*t112;
- t678 = t677*t171;
- t680 = 4.0*t14*t205+2.0*t103*t68*t74+t287*t652+t461*t173*t7+t656*t114*t24
-+t601*t237*t24+t507*t589+t601*t536*t7+RATIONAL(3.0,2.0)*t287*t664+RATIONAL(1.0,
-2.0)*t212*t437+2.0*t287*t669+RATIONAL(1.0,2.0)*t108*t672+RATIONAL(1.0,2.0)*t42*
-t672+t678*t224;
- t694 = t677*t13;
- t704 = t571*t235;
- t707 = t612*t235;
- t712 = t222*t13;
- t716 = 2.0*t98*t590+2.0*t300*t316*t2+2.0*t94*t559+t98*t562+2.0*t122*t60+
-t93*t633+2.0*t103*t370+2.0*t694*t316*t7+RATIONAL(3.0,2.0)*t656*t385*t2+RATIONAL
-(3.0,2.0)*t601*t503*t2+RATIONAL(1.0,2.0)*t208*t704+RATIONAL(1.0,2.0)*t122*t707+
-RATIONAL(1.0,2.0)*t69*t704+2.0*t712*t85*t7;
- t723 = t197*t13;
- t738 = t14*t167;
- t741 = t14*t156;
- t746 = t561*t13;
- t748 = t197*t235;
- t750 = 2.0*t198*t316*t24+t656*t357*t7+2.0*t723*t167*t7+t68*t143+2.0*t507*
-t112*t20+2.0*t94*t354+t98*t552+RATIONAL(1.0,2.0)*t108*t707+RATIONAL(1.0,2.0)*
-t212*t605+2.0*t122*t738+2.0*t98*t741+2.0*t93*t408+t42*t746+t748*t224;
- t774 = t197*t171;
- t776 = t222*t171;
- t780 = 2.0*t94*t281+2.0*t42*t284+2.0*t98*t168+t107*t352+2.0*t212*t232+2.0
-*t93*t741+RATIONAL(1.0,2.0)*t325*t386+2.0*t42*t738+2.0*t98*t205+2.0*t98*t291+
-2.0*t325*t317+2.0*t68*t254+t774*t156+t776*t74+2.0*t68*t263;
- t785 = pow(Theta_D,1.0*RATIONAL(1.0,2.0));
- t787 = 1/t785/Theta_D;
- t792 = -t458-t627-t518-t174-t613-t652-t358-t238-t664-t112*t224-2.0*t392
--2.0*t669;
- t796 = partial_d_ln_sqrt_g_1;
- t797 = t112*t796;
- t799 = partial_d_ln_sqrt_g_2;
- t800 = t4*t799;
- t802 = partial_d_ln_sqrt_g_3;
- t803 = t1*t802;
- t805 = t4*t796;
- t807 = t41*t799;
- t809 = t63*t802;
- t811 = t1*t796;
- t813 = t63*t799;
- t815 = t102*t802;
- t817 = -t41*t156-2.0*t288-t102*t74-t797*t7-t800*t7-t803*t7-t805*t24-t807*
-t24-t809*t24-t811*t2-t813*t2-t815*t2;
- t819 = 1/t785;
- t822 = K_uu_11*t13;
- t824 = K_uu_12;
- t827 = t824*t67;
- t829 = K_uu_13;
- t832 = t829*t92;
- t835 = K_uu_22*t67;
- t837 = K_uu_23;
- t840 = t837*t92;
- t843 = K_uu_33*t92;
- t847 = 1/Theta_D;
- t860 = Theta_D*Theta_D;
- t869 = RATIONAL(3.0,2.0)*Theta_A/t785/t860+RATIONAL(1.0,2.0)*Theta_B*t787
-+Theta_C/t860;
- partial_Theta_wrt_partial_d_h_1 = (t140+t220+t266+t322+t368+t414+t454+
-t494+t534+t569+t608+t644+t680+t716+t750+t780)*t787+(t792+t817)*t819+(-2.0*t822*
-t7-2.0*t824*t24*t13-2.0*t827*t7-2.0*t829*t2*t13-2.0*t832*t7-2.0*t835*t24-2.0*
-t837*t2*t67-2.0*t840*t24-2.0*t843*t2)*t847-(-2.0*t113*t7-2.0*t325*t13-2.0*t94*
-t7-2.0*t3*t13-2.0*t107*t7-2.0*t98*t24-2.0*t122*t67-2.0*t93*t24-2.0*t103*t2)*
-t869;
- t871 = t113*t22;
- t876 = t63*t54;
- t882 = t551*t54;
- t886 = t561*t10;
- t890 = t112*t10;
- t891 = t890*t316;
- t897 = t334*t10;
- t899 = 2.0*t93*t871+t381*t296*t10+t876*t594+2.0*t93*t94*t22+t432*t158+2.0
-*t93*t882+t218*t158+2.0*t14*t886+t748*t307+2.0*t94*t891+t890*t195+t548*t76+t223
-*t307+t287*t897;
- t900 = t194*t31;
- t902 = t334*t54;
- t904 = t114*t54;
- t905 = t904*t67;
- t907 = t63*t31;
- t913 = t102*t54;
- t920 = t14*t48;
- t929 = t4*t10;
- t930 = t929*t59;
- t933 = t335*t10;
- t938 = t113*t900+t259*t902+t113*t905+2.0*t907*t209+2.0*t300*t13*t179+2.0*
-t913*t545+t507*t536*t54+t601*t536*t10+2.0*t68*t920+2.0*t712*t85*t10+2.0*t449*
-t167*t31+2.0*t68*t930+t68*t933+2.0*t197*t31*t481;
- t944 = t1*t54;
- t947 = t588*t31;
- t949 = t113*t307;
- t962 = t364*t54;
- t970 = t4*t31;
- t971 = t970*t189;
- t976 = t913*t298+2.0*t103*t907*t85+2.0*t944*t317+t507*t947+2.0*t107*t949+
-RATIONAL(3.0,2.0)*t507*t118*t10+2.0*t259*t4*t48+t259*t296*t31+2.0*t107*t891+
-t381*t962+2.0*t198*t13*t22+2.0*t103*t68*t76+2.0*t103*t971+2.0*t876*t60;
- t979 = t416*t31;
- t983 = t351*t10;
- t996 = t1*t10;
- t997 = t996*t85;
- t1000 = t41*t31;
- t1001 = t1000*t59;
- t1004 = t996*t59;
- t1010 = t142*t10;
- t1012 = 2.0*t907*t329+t43*t979+2.0*t913*t361+t107*t983+2.0*t944*t38+4.0*
-t93*t424*t54+2.0*t107*t929*t37+2.0*t103*t94*t179+2.0*t68*t997+2.0*t103*t1001+
-2.0*t98*t1004+t970*t374+2.0*t913*t542+t103*t1010;
- t1015 = t119*t10;
- t1033 = t43*t48;
- t1036 = t297*t10;
- t1039 = t373*t10;
- t1047 = t357*t54;
- t1048 = t1047*t13;
- t1050 = t93*t1015+2.0*t107*t1000*t37+2.0*t259*t112*t179+2.0*t970*t411+2.0
-*t944*t133+2.0*t93*t1004+2.0*t103*t98*t48+t774*t158+2.0*t98*t1033+2.0*t43*t1036
-+2.0*t113*t1039+2.0*t1000*t60+2.0*t94*t43*t179+t94*t1048;
- t1062 = t43*t76;
- t1065 = t113*t179;
- t1070 = t470*t31;
- t1074 = t237*t54;
- t1075 = t1074*t67;
- t1078 = t504*t54;
- t1080 = t474*t54;
- t1082 = 2.0*t107*t98*t22+2.0*t94*t996*t189+t98*t1015+2.0*t970*t317+2.0*
-t876*t123+2.0*t68*t1062+2.0*t68*t1065+2.0*t944*t428+t14*t1070+2.0*t94*t949+t14*
-t1075+t94*t1039+t14*t1078+t113*t1080;
- t1087 = t112*t189*t10;
- t1093 = t248*t54;
- t1095 = t127*t31;
- t1097 = t572*t31;
- t1103 = t296*t13*t31;
- t1107 = t407*t31;
- t1112 = t632*t31;
- t1114 = 4.0*t43*t930+4.0*t43*t1087+t227*t76+4.0*t68*t971+t68*t1093+t107*
-t1095+t103*t1097+4.0*t68*t1001+t98*t1078+2.0*t68*t1103+t678*t307+4.0*t98*t1107+
-RATIONAL(1.0,2.0)*t1000*t672+t93*t1112;
- t1138 = t173*t31;
- t1139 = t1138*t13;
- t1141 = t4*t22;
- t1145 = 2.0*t381*t41*t48+2.0*t216*t54*t485+t103*t1103+RATIONAL(1.0,2.0)*
-t996*t704+t103*t1036+t601*t237*t31+t172*t1047+RATIONAL(3.0,2.0)*t601*t503*t54+
-2.0*t514*t31*t59+2.0*t514*t67*t48+t776*t76+t107*t1139+2.0*t236*t1141+t996*t417;
- t1150 = t593*t10;
- t1163 = t947*t13;
- t1166 = t962*t67;
- t1169 = t575*t10;
- t1174 = t944*t576+t93*t1150+2.0*t723*t167*t10+RATIONAL(1.0,2.0)*t890*t386
-+RATIONAL(1.0,2.0)*t929*t672+RATIONAL(1.0,2.0)*t944*t434+RATIONAL(1.0,2.0)*t907
-*t437+t93*t1163+t98*t882+t43*t1166+t1000*t746+t107*t1169+t43*t1097+2.0*t107*
-t1048;
- t1186 = t112*t37*t10;
- t1189 = t929*t167;
- t1192 = t14*t158;
- t1200 = t43*t1093+t907*t336+2.0*t98*t1070+t113*t1095+2.0*t113*t1169+t68*
-t1010+t98*t886+t94*t1080+4.0*t14*t1186+2.0*t93*t1189+2.0*t93*t1192+2.0*t913*
-t232+2.0*t876*t738+t14*t1112;
- t1214 = t902*t13;
- t1234 = 2.0*t107*t14*t22+2.0*t1000*t738+2.0*t876*t267+2.0*t107*t68*t179+
-2.0*t94*t900+t68*t1214+2.0*t103*t920+2.0*t944*t190+2.0*t68*t1087+2.0*t93*t98*
-t158+2.0*t907*t232+2.0*t93*t1000*t167+2.0*t98*t1192+2.0*t98*t1189;
- t1266 = 2.0*t103*t1065+t94*t983+2.0*t1000*t284+2.0*t198*t316*t31+2.0*t107
-*t907*t189+RATIONAL(1.0,2.0)*t890*t434+2.0*t103*t1166+2.0*t43*t933+2.0*t103*
-t930+2.0*t94*t1139+2.0*t98*t1163+2.0*t98*t1186+RATIONAL(3.0,2.0)*t259*t141*t10+
-2.0*t222*t54*t467;
- t1281 = t588*t10;
- t1289 = t247*t54;
- t1300 = 2.0*t300*t10*t189+RATIONAL(3.0,2.0)*t656*t385*t54+t461*t904+t172*
-t1138+t236*t1074+2.0*t694*t316*t10+t236*t1281+RATIONAL(3.0,2.0)*t381*t571*t31+
-RATIONAL(3.0,2.0)*t461*t126*t31+RATIONAL(3.0,2.0)*t287*t1289+2.0*t103*t1087+2.0
-*t107*t905+2.0*t68*t979+2.0*t98*t871;
- t1301 = t612*t31;
- t1308 = t364*t31;
- t1335 = RATIONAL(3.0,2.0)*t236*t1301+2.0*t93*t1075+2.0*t14*t1150+t287*
-t1308+t656*t114*t31+t461*t173*t10+RATIONAL(1.0,2.0)*t1000*t401+t656*t357*t10+
-2.0*t300*t316*t54+2.0*t507*t112*t22+2.0*t640*t85*t31+2.0*t601*t1*t22+RATIONAL(
-1.0,2.0)*t876*t707+2.0*t565*t85*t54;
- t1342 = t63*t48;
- t1345 = t1*t179;
- t1364 = t350*t10;
- t1370 = RATIONAL(1.0,2.0)*t913*t704+2.0*t514*t167*t54+2.0*t287*t1342+2.0*
-t287*t1345+RATIONAL(1.0,2.0)*t970*t398+RATIONAL(1.0,2.0)*t996*t437+RATIONAL(1.0
-,2.0)*t907*t605+RATIONAL(1.0,2.0)*t944*t398+RATIONAL(1.0,2.0)*t876*t401+
-RATIONAL(1.0,2.0)*t913*t605+RATIONAL(1.0,2.0)*t929*t707+RATIONAL(1.0,2.0)*t970*
-t386+RATIONAL(3.0,2.0)*t172*t1364+2.0*t198*t10*t37;
- t1405 = 4.0*t103*t376*t54+2.0*t103*t1214+4.0*t103*t346*t54+2.0*t93*t1107+
-2.0*t107*t94*t307+2.0*t107*t970*t316+2.0*t913*t209+2.0*t381*t4*t179+t929*t498+
-2.0*t93*t1033+2.0*t103*t997+2.0*t103*t1062+2.0*t913*t329+2.0*t876*t284+2.0*t93*
-t1186;
- t1414 = -t1364-t1281-t897-t1138-t1301-t1308-t1047-t1074-t1289-t112*t307
--2.0*t1141-2.0*t1345;
- t1427 = -t41*t158-2.0*t1342-t102*t76-t797*t10-t800*t10-t803*t10-t805*t31-
-t807*t31-t809*t31-t811*t54-t813*t54-t815*t54;
- partial_Theta_wrt_partial_d_h_2 = (t899+t938+t976+t1012+t1050+t1082+t1114
-+t1145+t1174+t1200+t1234+t1266+t1300+t1335+t1370+t1405)*t787+(t1414+t1427)*t819
-+(-2.0*t822*t10-2.0*t824*t31*t13-2.0*t827*t10-2.0*t829*t54*t13-2.0*t832*t10-2.0
-*t835*t31-2.0*t837*t54*t67-2.0*t840*t31-2.0*t843*t54)*t847-(-2.0*t113*t10-2.0*
-t970*t13-2.0*t94*t10-2.0*t944*t13-2.0*t107*t10-2.0*t98*t31-2.0*t876*t67-2.0*t93
-*t31-2.0*t103*t54)*t869;
- t1457 = t14*t160;
- t1460 = t69*t2;
- t1463 = t68*t4;
- t1465 = t13*t24*t2;
- t1469 = t43*t78;
- t1475 = t103*t4;
- t1476 = t67*t7;
- t1477 = t1476*t2;
- t1483 = t212*t2;
- t1486 = t107*t41;
- t1487 = t1476*t24;
- t1491 = 2.0*t98*t1457+2.0*t287*t1460+2.0*t1463*t1465+t774*t160+2.0*t68*
-t1469+2.0*t107*t94*t309+2.0*t1475*t1477+2.0*t381*t108*t2+2.0*t287*t1483+2.0*
-t1486*t1487+t218*t160;
- t1492 = t13*t7;
- t1493 = t1492*t24;
- t1497 = t113*t309;
- t1505 = t98*t1;
- t1508 = t103*t41;
- t1510 = t67*t24*t2;
- t1513 = t93*t4;
- t1516 = t94*t1;
- t1517 = t1492*t2;
- t1520 = t107*t4;
- t1526 = 2.0*t198*t1493+t223*t309+2.0*t107*t1497+2.0*t259*t193*t2+2.0*t93*
-t1457+2.0*t1505*t1465+2.0*t1508*t1510+2.0*t1513*t1487+2.0*t1516*t1517+2.0*t1520
-*t1493+2.0*t103*t68*t78;
- t1536 = t93*t112;
- t1547 = t93*t1;
- t1552 = t432*t160+2.0*t93*t98*t160+t548*t78+2.0*t514*t1510+t748*t309+2.0*
-t1536*t1493+2.0*t300*t1517+2.0*t381*t42*t2+2.0*t507*t193*t24+2.0*t1547*t1465+
-2.0*t1475*t1465;
- t1555 = t103*t112;
- t1558 = t98*t112;
- t1561 = t108*t24;
- t1572 = t68*t112;
- t1580 = 2.0*t1547*t1477+2.0*t1555*t1517+2.0*t1558*t1493+2.0*t236*t1561+
-2.0*t259*t325*t2+t776*t78+t678*t309+t227*t78+2.0*t94*t1497+2.0*t1572*t1517+2.0*
-t103*t1469+2.0*t601*t69*t24;
- partial_Theta_wrt_partial_dd_h_11 = (t1491+t1526+t1552+t1580)*t787+(-t112
-*t309-2.0*t1561-2.0*t1460-t41*t160-2.0*t1483-t102*t78)*t819;
- t1594 = -t183-t185;
- t1600 = t67*t10;
- t1606 = -t28-t32;
- t1610 = t1*t1594;
- t1622 = 2.0*t218*t162-2.0*t107*t68*t1594+2.0*t432*t162+4.0*t1520*t1600*t7
-+2.0*t776*t80-2.0*t601*t1*t1606-2.0*t287*t1610+2.0*t223*t311+2.0*t748*t311-2.0*
-t93*t94*t1606+2.0*t774*t162;
- t1629 = -t52-t55;
- t1639 = t113*t1606;
- t1641 = t113*t1594;
- t1643 = t14*t1629;
- t1645 = -t381*t4*t1594-t300*t13*t1594-t107*t98*t1606-t259*t4*t1629-t103*
-t94*t1594-t107*t14*t1606+t678*t311-t507*t112*t1606-t93*t1639-t103*t1641-t103*
-t1643;
- t1648 = t43*t1629;
- t1655 = t13*t54*t2;
- t1659 = t13*t10;
- t1660 = t1659*t7;
- t1666 = t13*t31;
- t1667 = t1666*t24;
- t1684 = -2.0*t93*t1648+2.0*t227*t80+4.0*t103*t1*t1655+4.0*t94*t112*t1660
--2.0*t198*t13*t1606+4.0*t1513*t1667-2.0*t514*t67*t1629-2.0*t94*t43*t1594+4.0*
-t68*t1*t1655+4.0*t98*t4*t1667-2.0*t98*t1639;
- t1697 = t4*t1606;
- t1704 = t67*t31;
- t1718 = t63*t1629;
- t1721 = -2.0*t259*t112*t1594-2.0*t68*t1643-2.0*t68*t1641-2.0*t98*t1648+
-4.0*t107*t112*t1660-2.0*t236*t1697-2.0*t381*t41*t1629+4.0*t93*t41*t1704*t24-2.0
-*t103*t98*t1629+2.0*t548*t80+4.0*t103*t63*t67*t54*t2-2.0*t287*t1718;
- partial_Theta_wrt_partial_dd_h_12 = (t1622+2.0*t1645+t1684+t1721)*t787+(
--2.0*t890*t7+2.0*t1697+2.0*t1610-2.0*t1000*t24+2.0*t1718-2.0*t913*t2)*t819;
- t1739 = t996*t54;
- t1748 = t1704*t54;
- t1751 = t1600*t54;
- t1757 = t1600*t31;
- t1760 = 2.0*t507*t890*t31+2.0*t93*t98*t165+t227*t83+t548*t83+2.0*t287*
-t1739+2.0*t259*t970*t54+2.0*t601*t996*t31+2.0*t514*t1748+2.0*t1547*t1751+2.0*
-t107*t94*t314+2.0*t1486*t1757;
- t1761 = t907*t54;
- t1768 = t1659*t31;
- t1771 = t113*t314;
- t1783 = 2.0*t287*t1761+t748*t314+t774*t165+t678*t314+t223*t314+2.0*t198*
-t1768+2.0*t94*t1771+2.0*t1513*t1757+2.0*t1520*t1768+2.0*t1475*t1751+2.0*t103*
-t68*t83;
- t1785 = t1666*t54;
- t1788 = t1659*t54;
- t1791 = t43*t83;
- t1803 = t14*t165;
- t1809 = 2.0*t1547*t1785+2.0*t1516*t1788+2.0*t68*t1791+2.0*t1558*t1768+2.0
-*t259*t890*t54+2.0*t107*t1771+2.0*t1463*t1785+2.0*t98*t1803+t218*t165+t776*t83+
-t432*t165;
- t1812 = t929*t31;
- t1825 = t1572*t1788+t1505*t1785+t236*t1812+t103*t1791+t300*t1788+t381*
-t1000*t54+t381*t929*t54+t93*t1803+t1555*t1788+t1536*t1768+t1475*t1785+t1508*
-t1748;
- partial_Theta_wrt_partial_dd_h_22 = (t1760+t1783+t1809+2.0*t1825)*t787+(-
-t112*t314-2.0*t1812-2.0*t1739-t41*t165-2.0*t1761-t102*t83)*t819;
+ t2 = 1/r;
+ t4 = X_ud_13;
+ t5 = PARTIAL_RHO(h);
+ t7 = X_ud_23;
+ t8 = PARTIAL_SIGMA(h);
+ t10 = zz*t2-t4*t5-t7*t8;
+ t11 = t1*t10;
+ t12 = g_uu_12;
+ t14 = X_ud_12;
+ t16 = X_ud_22;
+ t18 = yy*t2-t14*t5-t16*t8;
+ t19 = t12*t18;
+ t20 = X_udd_111;
+ t24 = g_uu_23;
+ t25 = t24*t10;
+ t26 = t12*t14;
+ t28 = r*r;
+ t30 = 1/t28/r;
+ t32 = X_udd_112;
+ t34 = X_udd_212;
+ t36 = X_ud_11;
+ t38 = PARTIAL_RHO_RHO(h);
+ t40 = X_ud_21;
+ t41 = t40*t14;
+ t42 = PARTIAL_RHO_SIGMA(h);
+ t44 = t36*t16;
+ t47 = PARTIAL_SIGMA_SIGMA(h);
+ t49 = -xx*yy*t30-t32*t5-t34*t8-t36*t14*t38-t41*t42-t44*t42-t40*t16*t47;
+ t50 = t26*t49;
+ t53 = t1*t4;
+ t54 = partial_d_g_uu_122;
+ t55 = t18*t18;
+ t56 = t54*t55;
+ t59 = g_uu_33;
+ t60 = t59*t10;
+ t61 = X_udd_113;
+ t68 = xx*t2-t36*t5-t40*t8;
+ t69 = t68*t68;
+ t70 = t12*t69;
+ t71 = g_uu_11;
+ t75 = t24*t4;
+ t76 = t19*t49;
+ t79 = partial_d_g_uu_112;
+ t80 = t79*t68;
+ t81 = t80*t14;
+ t87 = X_udd_213;
+ t91 = t40*t4;
+ t93 = t36*t7;
+ t97 = -xx*zz*t30-t61*t5-t87*t8-t36*t4*t38-t91*t42-t93*t42-t40*t7*t47;
+ t98 = t26*t97;
+ t101 = g_uu_22;
+ t102 = t101*t18;
+ t108 = t59*t4;
+ t109 = t19*t97;
+ t112 = t71*t68;
+ t113 = partial_d_g_uu_133;
+ t114 = t113*t10;
+ t115 = t114*t4;
+ t117 = t12*t68;
+ t118 = partial_d_g_uu_213;
+ t119 = t118*t10;
+ t120 = t119*t36;
+ t123 = t79*t18;
+ t124 = t123*t36;
+ t126 = 2.0*t11*t19*t20+2.0*t25*t50+RATIONAL(1.0,2.0)*t53*t56+2.0*t60*t19*
+t61+2.0*t70*t71*t32+2.0*t75*t76+2.0*t19*t81+2.0*t60*t98+4.0*t102*t50+2.0*t11*
+t102*t32+2.0*t108*t109+t112*t115+2.0*t117*t120+t11*t124;
+ t127 = t101*t55;
+ t128 = t12*t32;
+ t131 = partial_d_g_uu_313;
+ t133 = t131*t68*t4;
+ t136 = t54*t18;
+ t137 = t136*t14;
+ t139 = yy*yy;
+ t140 = zz*zz;
+ t144 = X_udd_211;
+ t146 = t36*t36;
+ t148 = t40*t36;
+ t151 = t40*t40;
+ t153 = (t139+t140)*t30-t20*t5-t144*t8-t146*t38-2.0*t148*t42-t151*t47;
+ t154 = t19*t153;
+ t157 = t102*t49;
+ t160 = partial_d_g_uu_123;
+ t161 = t160*t10;
+ t162 = t161*t14;
+ t165 = partial_d_g_uu_312;
+ t166 = t165*t18;
+ t167 = t166*t36;
+ t169 = partial_d_g_uu_233;
+ t170 = t169*t10;
+ t171 = t170*t4;
+ t173 = t101*t14;
+ t177 = partial_d_g_uu_222;
+ t178 = t177*t18;
+ t179 = t178*t14;
+ t181 = t24*t18;
+ t184 = X_udd_123;
+ t186 = X_udd_223;
+ t190 = t16*t4;
+ t192 = t14*t7;
+ t196 = -yy*zz*t30-t184*t5-t186*t8-t14*t4*t38-t190*t42-t192*t42-t16*t7*t47
+;
+ t197 = t101*t196;
+ t198 = t197*t14;
+ t201 = t12*t12;
+ t203 = t68*t49;
+ t206 = t1*t36;
+ t207 = partial_d_g_uu_333;
+ t208 = t10*t10;
+ t209 = t207*t208;
+ t212 = partial_d_g_uu_322;
+ t213 = t212*t55;
+ t216 = 2.0*t127*t128+2.0*t60*t133+t112*t137+2.0*t53*t154+2.0*t53*t157+2.0
+*t19*t162+t60*t167+t117*t171+2.0*t11*t173*t49+t117*t179+4.0*t181*t198+2.0*t201*
+t14*t203+RATIONAL(1.0,2.0)*t206*t209+RATIONAL(1.0,2.0)*t206*t213;
+ t218 = t113*t208;
+ t221 = t24*t24;
+ t222 = t221*t55;
+ t223 = X_udd_133;
+ t226 = t1*t68;
+ t227 = t212*t18;
+ t228 = t227*t14;
+ t230 = t166*t68;
+ t232 = xx*xx;
+ t235 = X_udd_122;
+ t237 = X_udd_222;
+ t239 = t14*t14;
+ t241 = t16*t14;
+ t244 = t16*t16;
+ t246 = (t232+t140)*t30-t235*t5-t237*t8-t239*t38-2.0*t241*t42-t244*t47;
+ t247 = t102*t246;
+ t251 = partial_d_g_uu_212;
+ t252 = t251*t14;
+ t254 = t1*t1;
+ t255 = t254*t208;
+ t257 = t207*t10;
+ t258 = t257*t4;
+ t262 = t251*t18;
+ t263 = t262*t68;
+ t265 = t262*t36;
+ t269 = RATIONAL(1.0,2.0)*t26*t218+t222*t223+t19*t115+t226*t228+t108*t230+
+2.0*t75*t247+t11*t81+t70*t252+t255*t20+t226*t258+2.0*t112*t124+t75*t263+t25*
+t265+2.0*t60*t198;
+ t271 = t24*t14;
+ t272 = t131*t10;
+ t273 = t272*t68;
+ t275 = t226*t223;
+ t278 = t165*t14;
+ t279 = t278*t68;
+ t284 = t71*t36;
+ t287 = t12*t36;
+ t288 = t177*t55;
+ t291 = t169*t208;
+ t294 = t24*t208;
+ t295 = partial_d_g_uu_223;
+ t298 = t1*t208;
+ t301 = t12*t55;
+ t307 = t254*t10;
+ t311 = t71*t71;
+ t312 = t311*t69;
+ t314 = t181*t133+t271*t273+2.0*t60*t275+t60*t279+2.0*t25*t102*t235+
+RATIONAL(1.0,2.0)*t284*t56+RATIONAL(1.0,2.0)*t287*t288+RATIONAL(1.0,2.0)*t287*
+t291+t294*t295*t14+t298*t160*t14+RATIONAL(3.0,2.0)*t301*t54*t14+2.0*t226*t167+
+2.0*t307*t68*t61+t312*t20;
+ t317 = t59*t208;
+ t318 = t1*t61;
+ t322 = t118*t68*t4;
+ t328 = t221*t208;
+ t330 = t102*t196;
+ t333 = t1*t97;
+ t337 = t272*t36;
+ t339 = t252*t68;
+ t341 = t221*t10;
+ t345 = t1*t69;
+ t357 = 2.0*t317*t318+2.0*t25*t322+2.0*t25*t19*t32+t328*t235+2.0*t108*t330
++4.0*t60*t333*t4+t181*t337+t25*t339+2.0*t341*t18*t184+t345*t278+RATIONAL(1.0,
+2.0)*t284*t218+t294*t118*t36+2.0*t60*t102*t184+2.0*t25*t173*t246;
+ t360 = t112*t97;
+ t363 = partial_d_g_uu_111;
+ t364 = t363*t68;
+ t365 = t364*t36;
+ t370 = X_udd_233;
+ t372 = t4*t4;
+ t374 = t7*t4;
+ t377 = t7*t7;
+ t379 = (t232+t139)*t30-t223*t5-t370*t8-t372*t38-2.0*t374*t42-t377*t47;
+ t380 = t181*t379;
+ t383 = partial_d_g_uu_311;
+ t384 = t383*t68;
+ t385 = t384*t36;
+ t387 = t226*t196;
+ t390 = t201*t68;
+ t397 = t206*t196;
+ t400 = t383*t69;
+ t405 = t112*t61;
+ t408 = t201*t69;
+ t410 = partial_d_g_uu_211;
+ t411 = t410*t68;
+ t412 = t411*t36;
+ t414 = 2.0*t117*t265+2.0*t271*t360+t11*t365+2.0*t108*t380+t181*t385+2.0*
+t75*t387+2.0*t390*t246*t36+2.0*t11*t26*t153+2.0*t25*t397+RATIONAL(1.0,2.0)*t271
+*t400+t345*t131*t4+2.0*t181*t405+t408*t235+t25*t412;
+ t419 = t284*t97;
+ t427 = t226*t379;
+ t430 = t117*t184;
+ t433 = t181*t97;
+ t436 = t117*t246;
+ t439 = t24*t196;
+ t443 = t287*t196;
+ t446 = partial_d_g_uu_323;
+ t447 = t446*t18;
+ t448 = t447*t4;
+ t451 = t295*t10;
+ t452 = t451*t14;
+ t454 = t117*t235;
+ t457 = 2.0*t60*t181*t223+2.0*t181*t419+t60*t385+t102*t412+2.0*t60*t271*
+t379+2.0*t271*t427+2.0*t181*t430+2.0*t53*t433+2.0*t173*t436+4.0*t60*t439*t4+2.0
+*t181*t443+2.0*t60*t448+t117*t452+2.0*t102*t454;
+ t458 = t295*t18;
+ t459 = t458*t4;
+ t462 = t287*t246;
+ t465 = t117*t196;
+ t471 = t177*t14;
+ t474 = t24*t55;
+ t478 = t446*t10;
+ t479 = t478*t14;
+ t481 = t1*t49;
+ t485 = t206*t379;
+ t489 = t160*t18*t4;
+ t493 = t112*t20;
+ t499 = 2.0*t25*t459+2.0*t102*t462+2.0*t271*t465+2.0*t11*t271*t97+RATIONAL
+(3.0,2.0)*t127*t471+RATIONAL(3.0,2.0)*t474*t212*t14+t226*t479+4.0*t25*t481*t4+
+2.0*t181*t485+2.0*t11*t489+t117*t459+2.0*t19*t493+2.0*t108*t360+t19*t365;
+ t503 = t161*t18;
+ t508 = t284*t49;
+ t511 = t451*t18;
+ t513 = t59*t59;
+ t514 = t513*t10;
+ t521 = t478*t18;
+ t528 = t112*t153;
+ t534 = t207*t4;
+ t537 = t446*t14;
+ t539 = t284*t503+2.0*t307*t153*t4+2.0*t25*t508+t287*t511+2.0*t514*t379*t4
++t226*t448+2.0*t181*t275+t206*t521+2.0*t11*t181*t61+2.0*t102*t397+2.0*t26*t528+
+RATIONAL(3.0,2.0)*t298*t113*t4+RATIONAL(3.0,2.0)*t317*t534+t317*t537;
+ t544 = t112*t32;
+ t550 = t24*t184;
+ t553 = t226*t184;
+ t556 = t254*t68;
+ t560 = t201*t18;
+ t564 = t101*t101;
+ t565 = t564*t18;
+ t574 = t112*t49;
+ t580 = 2.0*t294*t1*t32+t112*t162+2.0*t25*t544+t112*t489+2.0*t60*t419+2.0*
+t317*t550+2.0*t102*t553+2.0*t556*t379*t36+2.0*t560*t153*t14+2.0*t565*t246*t14+
+2.0*t60*t405+2.0*t341*t246*t4+2.0*t75*t574+2.0*t19*t226*t61;
+ t582 = t284*t153;
+ t587 = t131*t36;
+ t595 = t68*t97;
+ t611 = t363*t69;
+ t616 = 2.0*t19*t582+2.0*t53*t528+t317*t587+2.0*t19*t206*t97+2.0*t60*t430+
+2.0*t254*t4*t595+2.0*t307*t36*t97+2.0*t108*t465+4.0*t181*t98+2.0*t181*t479+2.0*
+t173*t574+2.0*t102*t452+RATIONAL(1.0,2.0)*t26*t611+2.0*t102*t544;
+ t625 = t564*t55;
+ t627 = partial_d_g_uu_113;
+ t628 = t627*t10;
+ t629 = t628*t36;
+ t631 = t627*t68;
+ t632 = t631*t4;
+ t637 = t201*t55;
+ t639 = t628*t68;
+ t648 = 2.0*t60*t485+2.0*t25*t454+2.0*t108*t427+2.0*t60*t443+t625*t235+t19
+*t629+2.0*t11*t632+2.0*t25*t462+t637*t20+t26*t639+2.0*t226*t337+t19*t632+t474*
+t165*t36+2.0*t11*t493;
+ t652 = t119*t68;
+ t663 = t221*t18;
+ t676 = t251*t36;
+ t680 = t102*t322+t173*t652+2.0*t75*t436+2.0*t173*t387+2.0*t181*t279+t70*
+t118*t4+t102*t120+2.0*t663*t379*t14+2.0*t112*t629+2.0*t102*t339+2.0*t11*t117*
+t32+2.0*t11*t582+t127*t676+t301*t160*t4;
+ t681 = t71*t69;
+ t682 = t363*t36;
+ t698 = t226*t97;
+ t703 = t311*t68;
+ t709 = t410*t69;
+ t715 = t18*t196;
+ t718 = RATIONAL(3.0,2.0)*t681*t682+t298*t627*t36+RATIONAL(3.0,2.0)*t294*
+t169*t4+2.0*t11*t287*t49+t181*t258+t102*t171+2.0*t474*t12*t61+2.0*t26*t698+
+RATIONAL(1.0,2.0)*t271*t209+2.0*t703*t153*t36+RATIONAL(1.0,2.0)*t53*t611+
+RATIONAL(1.0,2.0)*t173*t709+RATIONAL(1.0,2.0)*t75*t709+2.0*t221*t4*t715;
+ t731 = t295*t4;
+ t735 = t627*t4;
+ t740 = t79*t14;
+ t742 = t117*t49;
+ t745 = t513*t208;
+ t747 = t123*t68;
+ t751 = 2.0*t341*t14*t196+RATIONAL(1.0,2.0)*t173*t291+RATIONAL(3.0,2.0)*
+t70*t410*t36+RATIONAL(3.0,2.0)*t345*t383*t36+t127*t731+t474*t446*t4+t681*t735+
+t301*t79*t36+t11*t137+t681*t740+2.0*t53*t742+t745*t223+t53*t747+2.0*t102*t508;
+ t759 = t254*t69;
+ t785 = RATIONAL(1.0,2.0)*t108*t400+2.0*t474*t101*t184+2.0*t25*t553+t759*
+t223+t25*t179+4.0*t226*t443+t60*t228+4.0*t226*t419+2.0*t345*t12*t184+2.0*t560*
+t36*t49+2.0*t560*t68*t32+RATIONAL(1.0,2.0)*t75*t288+RATIONAL(1.0,2.0)*t108*t213
++2.0*t345*t71*t61+4.0*t117*t508;
+ t790 = pow(Theta_D,1.0*RATIONAL(1.0,2.0));
+ t792 = 1/t790/Theta_D;
+ t797 = -t682-t676-t587-t740-t471-t537-t735-t731-t534-t71*t20-2.0*t128-2.0
+*t318;
+ t801 = partial_d_ln_sqrt_g_1;
+ t802 = t71*t801;
+ t804 = partial_d_ln_sqrt_g_2;
+ t805 = t12*t804;
+ t807 = partial_d_ln_sqrt_g_3;
+ t808 = t1*t807;
+ t810 = t12*t801;
+ t812 = t101*t804;
+ t814 = t24*t807;
+ t816 = t1*t801;
+ t818 = t24*t804;
+ t820 = t59*t807;
+ t822 = -t101*t235-2.0*t550-t59*t223-t802*t36-t805*t36-t808*t36-t810*t14-
+t812*t14-t814*t14-t816*t4-t818*t4-t820*t4;
+ t824 = 1/t790;
+ t836 = -2.0*t112*t36-2.0*t26*t68-2.0*t19*t36-2.0*t53*t68-2.0*t11*t36-2.0*
+t102*t14-2.0*t75*t18-2.0*t25*t14-2.0*t60*t4;
+ t837 = Theta_D*Theta_D;
+ t844 = RATIONAL(3.0,2.0)*Theta_A/t790/t837+RATIONAL(1.0,2.0)*Theta_B*t792
+;
+ partial_Theta_X_wrt_partial_d_h_1 = (t126+t216+t269+t314+t357+t414+t457+
+t499+t539+t580+t616+t648+t680+t718+t751+t785)*t792+(t797+t822)*t824-t836*t844;
+ t846 = t118*t7;
+ t847 = t846*t68;
+ t849 = t131*t7;
+ t850 = t849*t68;
+ t852 = t272*t40;
+ t854 = t251*t16;
+ t856 = t79*t16;
+ t858 = t119*t40;
+ t860 = t627*t7;
+ t862 = t1*t40;
+ t866 = t384*t40;
+ t868 = t59*t7;
+ t873 = t12*t40;
+ t877 = t628*t40;
+ t879 = t166*t40;
+ t881 = t102*t847+t181*t850+t181*t852+t70*t854+t681*t856+t102*t858+t681*
+t860+2.0*t19*t862*t97+t60*t866+2.0*t868*t360+t474*t165*t40+2.0*t11*t873*t49+t19
+*t877+t60*t879;
+ t884 = t251*t40;
+ t886 = t862*t379;
+ t890 = t131*t40;
+ t894 = t71*t40;
+ t895 = t894*t97;
+ t898 = t12*t16;
+ t902 = t631*t7;
+ t905 = t226*t370;
+ t910 = t24*t7;
+ t912 = t854*t68;
+ t914 = 2.0*t226*t852+t127*t884+2.0*t60*t886+t70*t846+t317*t890+2.0*t868*
+t427+2.0*t60*t895+t898*t639+RATIONAL(1.0,2.0)*t898*t218+2.0*t11*t902+2.0*t60*
+t905+RATIONAL(1.0,2.0)*t862*t213+t910*t263+t25*t912;
+ t921 = t451*t16;
+ t926 = t161*t16;
+ t931 = t862*t196;
+ t934 = t478*t16;
+ t938 = t262*t40;
+ t940 = t873*t246;
+ t944 = t446*t16;
+ t946 = 4.0*t25*t481*t7+t294*t118*t40+2.0*t102*t921+2.0*t910*t387+2.0*t19*
+t926+t862*t521+t894*t503+2.0*t25*t931+t226*t934+2.0*t181*t934+t25*t938+2.0*t25*
+t940+t112*t926+t317*t944;
+ t947 = t226*t186;
+ t950 = t160*t7;
+ t951 = t950*t18;
+ t956 = t170*t7;
+ t960 = t112*t144;
+ t964 = t1*t7;
+ t967 = t894*t153;
+ t970 = t117*t237;
+ t973 = t112*t34;
+ t976 = t894*t49;
+ t980 = 2.0*t25*t947+t112*t951+2.0*t19*t226*t87+t102*t956+t759*t370+t625*
+t237+2.0*t19*t960+t637*t144+2.0*t964*t742+2.0*t19*t967+2.0*t25*t970+2.0*t102*
+t973+2.0*t102*t976+t312*t144;
+ t983 = t136*t16;
+ t986 = t257*t7;
+ t991 = t12*t196*t40;
+ t994 = t101*t16;
+ t999 = t112*t87;
+ t1005 = t80*t16;
+ t1009 = t24*t16;
+ t1012 = t123*t40;
+ t1015 = t11*t983+t408*t237+t181*t986+2.0*t102*t931+4.0*t226*t991+2.0*t994
+*t387+4.0*t226*t895+2.0*t181*t999+t964*t747+4.0*t117*t976+2.0*t19*t1005+t181*
+t866+2.0*t1009*t465+2.0*t112*t1012;
+ t1016 = t411*t40;
+ t1024 = t227*t16;
+ t1030 = t458*t7;
+ t1034 = t117*t186;
+ t1037 = t364*t40;
+ t1044 = t102*t1016+2.0*t226*t879+RATIONAL(1.0,2.0)*t894*t218+RATIONAL(1.0
+,2.0)*t873*t291+t60*t1024+2.0*t181*t991+2.0*t1009*t360+2.0*t25*t1030+t255*t144+
+2.0*t181*t1034+t11*t1037+2.0*t181*t895+2.0*t112*t877+t11*t1005;
+ t1057 = t447*t7;
+ t1066 = t197*t16;
+ t1076 = 2.0*t181*t905+2.0*t898*t528+t11*t1012+2.0*t994*t574+2.0*t11*t181*
+t87+t868*t230+2.0*t60*t1057+2.0*t60*t19*t87+4.0*t60*t333*t7+4.0*t181*t1066+2.0*
+t994*t436+t25*t1016+2.0*t910*t436+2.0*t102*t970;
+ t1089 = t12*t97*t16;
+ t1101 = t898*t49;
+ t1112 = 2.0*t102*t940+t226*t1057+2.0*t117*t938+2.0*t181*t886+2.0*t1009*
+t427+2.0*t910*t76+4.0*t181*t1089+2.0*t60*t1009*t379+2.0*t11*t19*t144+2.0*t25*
+t19*t34+2.0*t25*t1101+4.0*t60*t439*t7+2.0*t910*t247+2.0*t60*t181*t370;
+ t1123 = t178*t16;
+ t1130 = t114*t7;
+ t1143 = 2.0*t868*t109+2.0*t25*t994*t246+4.0*t102*t1101+t25*t1123+2.0*t102
+*t947+2.0*t964*t154+t117*t956+t112*t1130+2.0*t60*t1089+2.0*t25*t102*t237+t345*
+t849+2.0*t25*t847+t117*t1123+2.0*t60*t1066;
+ t1162 = t165*t68*t16;
+ t1172 = 2.0*t868*t380+t873*t511+RATIONAL(1.0,2.0)*t862*t209+2.0*t898*t698
++2.0*t11*t994*t49+t745*t370+2.0*t60*t850+2.0*t868*t330+t19*t902+t226*t1024+2.0*
+t181*t1162+2.0*t201*t16*t203+2.0*t102*t912+t298*t627*t40;
+ t1185 = t12*t34;
+ t1206 = t226*t986+2.0*t60*t102*t186+t112*t983+2.0*t560*t40*t49+2.0*t560*
+t68*t34+2.0*t127*t1185+2.0*t514*t379*t7+2.0*t221*t7*t715+2.0*t11*t898*t153+
+RATIONAL(1.0,2.0)*t894*t56+2.0*t11*t102*t34+t117*t1030+2.0*t964*t157+t19*t1130;
+ t1230 = t24*t186;
+ t1236 = 2.0*t60*t991+t60*t1162+2.0*t868*t465+t328*t237+2.0*t117*t858+2.0*
+t60*t999+t19*t1037+2.0*t60*t1034+t222*t370+2.0*t11*t1009*t97+2.0*t341*t16*t196+
+2.0*t341*t18*t186+2.0*t317*t1230+2.0*t556*t379*t40;
+ t1272 = 2.0*t390*t246*t40+2.0*t565*t246*t16+2.0*t703*t153*t40+RATIONAL(
+1.0,2.0)*t994*t291+RATIONAL(1.0,2.0)*t1009*t209+RATIONAL(1.0,2.0)*t964*t56+2.0*
+t70*t71*t34+2.0*t345*t71*t87+2.0*t345*t12*t186+RATIONAL(1.0,2.0)*t868*t213+
+RATIONAL(1.0,2.0)*t910*t288+t301*t79*t40+t994*t652+2.0*t964*t433;
+ t1283 = t1*t87;
+ t1313 = 2.0*t11*t117*t34+2.0*t11*t967+2.0*t964*t528+2.0*t474*t101*t186+
+2.0*t317*t1283+2.0*t254*t7*t595+2.0*t307*t40*t97+2.0*t307*t68*t87+2.0*t560*t153
+*t16+2.0*t307*t153*t7+2.0*t474*t12*t87+2.0*t341*t246*t7+RATIONAL(3.0,2.0)*t70*
+t410*t40+RATIONAL(3.0,2.0)*t345*t383*t40;
+ t1326 = t177*t16;
+ t1332 = t207*t7;
+ t1341 = t295*t7;
+ t1346 = t363*t40;
+ t1351 = 2.0*t294*t1*t34+2.0*t663*t379*t16+t298*t160*t16+RATIONAL(3.0,2.0)
+*t474*t212*t16+RATIONAL(3.0,2.0)*t127*t1326+RATIONAL(3.0,2.0)*t301*t54*t16+
+RATIONAL(3.0,2.0)*t317*t1332+RATIONAL(3.0,2.0)*t294*t169*t7+RATIONAL(3.0,2.0)*
+t298*t113*t7+t127*t1341+t474*t446*t7+t301*t950+RATIONAL(3.0,2.0)*t681*t1346+
+t345*t165*t16;
+ t1380 = t294*t295*t16+RATIONAL(1.0,2.0)*t994*t709+RATIONAL(1.0,2.0)*t1009
+*t400+RATIONAL(1.0,2.0)*t964*t611+RATIONAL(1.0,2.0)*t898*t611+RATIONAL(1.0,2.0)
+*t910*t709+RATIONAL(1.0,2.0)*t868*t400+RATIONAL(1.0,2.0)*t873*t288+t117*t921+
+2.0*t910*t574+2.0*t11*t951+2.0*t11*t960+2.0*t25*t973+2.0*t25*t976+t1009*t273;
+ t1389 = -t1346-t884-t890-t856-t1326-t944-t860-t1341-t1332-t71*t144-2.0*
+t1185-2.0*t1283;
+ t1402 = -t101*t237-2.0*t1230-t59*t370-t802*t40-t805*t40-t808*t40-t810*t16
+-t812*t16-t814*t16-t816*t7-t818*t7-t820*t7;
+ t1415 = -2.0*t112*t40-2.0*t898*t68-2.0*t19*t40-2.0*t964*t68-2.0*t11*t40
+-2.0*t102*t16-2.0*t910*t18-2.0*t25*t16-2.0*t60*t7;
+ partial_Theta_X_wrt_partial_d_h_2 = (t881+t914+t946+t980+t1015+t1044+
+t1076+t1112+t1143+t1172+t1206+t1236+t1272+t1313+t1351+t1380)*t792+(t1389+t1402)
+*t824-t1415*t844;
+ t1418 = K_uu_11*t68;
+ t1420 = K_uu_12;
+ t1423 = t1420*t18;
+ t1425 = K_uu_13;
+ t1428 = t1425*t10;
+ t1431 = K_uu_22*t18;
+ t1433 = K_uu_23;
+ t1436 = t1433*t10;
+ t1439 = K_uu_33*t10;
+ t1443 = 1/Theta_D;
+ t1446 = 1/t837;
+ partial_Theta_Y_wrt_partial_d_h_1 = (-2.0*t1418*t36-2.0*t1420*t14*t68-2.0
+*t1423*t36-2.0*t1425*t4*t68-2.0*t1428*t36-2.0*t1431*t14-2.0*t1433*t4*t18-2.0*
+t1436*t14-2.0*t1439*t4)*t1443-t836*Theta_C*t1446;
+ partial_Theta_Y_wrt_partial_d_h_2 = (-2.0*t1418*t40-2.0*t1420*t16*t68-2.0
+*t1423*t40-2.0*t1425*t7*t68-2.0*t1428*t40-2.0*t1431*t16-2.0*t1433*t7*t18-2.0*
+t1436*t16-2.0*t1439*t7)*t1443-t1415*Theta_C*t1446;
+ t1465 = t11*t24;
+ t1466 = t18*t36;
+ t1467 = t1466*t4;
+ t1470 = t112*t146;
+ t1476 = t60*t71;
+ t1477 = t68*t36;
+ t1478 = t1477*t4;
+ t1481 = t181*t71;
+ t1484 = t102*t71;
+ t1485 = t1477*t14;
+ t1490 = t117*t239;
+ t1497 = t25*t71;
+ t1500 = 2.0*t1465*t1467+2.0*t19*t1470+2.0*t294*t206*t14+2.0*t1476*t1478+
+2.0*t1481*t1478+2.0*t1484*t1485+2.0*t11*t1470+2.0*t102*t1490+2.0*t345*t284*t4+
+t408*t239+2.0*t1497*t1485;
+ t1501 = t287*t14;
+ t1504 = t102*t1;
+ t1506 = t68*t14*t4;
+ t1511 = t226*t372;
+ t1514 = t19*t1;
+ t1518 = t18*t14*t4;
+ t1524 = t181*t12;
+ t1532 = 2.0*t127*t1501+2.0*t1504*t1506+2.0*t560*t1485+2.0*t181*t1511+2.0*
+t1514*t1478+2.0*t341*t1518+2.0*t70*t284*t14+2.0*t1524*t1506+2.0*t60*t1511+t328*
+t239+2.0*t1465*t1506;
+ t1537 = t206*t4;
+ t1540 = t11*t12;
+ t1543 = t60*t12;
+ t1556 = t271*t4;
+ t1560 = 2.0*t345*t26*t4+2.0*t317*t1537+2.0*t1540*t1485+2.0*t1543*t1467+
+2.0*t307*t1478+t255*t146+t222*t372+2.0*t11*t19*t146+2.0*t25*t102*t239+2.0*t317*
+t1556+t637*t146;
+ t1567 = t25*t12;
+ t1568 = t1466*t14;
+ t1582 = t11*t101;
+ t1585 = t60*t101;
+ t1588 = 2.0*t25*t1490+t759*t372+2.0*t474*t173*t4+2.0*t1567*t1568+t625*
+t239+2.0*t1543*t1506+2.0*t474*t287*t4+t745*t372+t312*t146+2.0*t60*t181*t372+2.0
+*t1582*t1568+2.0*t1585*t1518;
+ partial_Theta_X_wrt_partial_dd_h_11 = (t1500+t1532+t1560+t1588)*t792+(-
+t71*t146-2.0*t1501-2.0*t1537-t101*t239-2.0*t1556-t59*t372)*t824;
+ t1600 = -t91-t93;
+ t1601 = t1*t1600;
+ t1606 = -t190-t192;
+ t1610 = t117*t1606;
+ t1613 = -t41-t44;
+ t1631 = t18*t40;
+ t1635 = -2.0*t317*t1601+2.0*t408*t241-2.0*t345*t12*t1606-2.0*t181*t1610
+-2.0*t25*t19*t1613+2.0*t328*t241-2.0*t19*t226*t1600-2.0*t60*t19*t1600-2.0*t11*
+t102*t1613-2.0*t345*t71*t1600+4.0*t1540*t1631*t36;
+ t1641 = t112*t1600;
+ t1646 = t112*t1613;
+ t1652 = t18*t16;
+ t1662 = t24*t1606;
+ t1668 = 2.0*t255*t148-2.0*t70*t71*t1613-2.0*t60*t1641+2.0*t625*t241-2.0*
+t25*t1646+2.0*t312*t148+4.0*t25*t101*t1652*t14-2.0*t11*t181*t1600-2.0*t341*t18*
+t1606-2.0*t317*t1662-2.0*t560*t68*t1613;
+ t1673 = t68*t40;
+ t1674 = t1673*t36;
+ t1688 = t68*t7*t4;
+ t1694 = t68*t16;
+ t1695 = t1694*t14;
+ t1704 = -2.0*t60*t1610+4.0*t11*t71*t1674+2.0*t759*t374-2.0*t294*t1*t1613+
+2.0*t637*t148+2.0*t222*t374+4.0*t60*t1*t1688-2.0*t474*t12*t1600+4.0*t1567*t1695
+-2.0*t474*t101*t1606-2.0*t11*t117*t1613;
+ t1705 = t226*t1606;
+ t1711 = t12*t1613;
+ t1739 = -2.0*t25*t1705-2.0*t307*t68*t1600-2.0*t127*t1711-2.0*t181*t1641+
+4.0*t181*t1*t1688-2.0*t102*t1705+4.0*t102*t12*t1695+4.0*t19*t71*t1674+2.0*t745*
+t374+4.0*t60*t24*t18*t7*t4-2.0*t102*t1646-2.0*t60*t102*t1606;
+ partial_Theta_X_wrt_partial_dd_h_12 = (t1635+t1668+t1704+t1739)*t792+(
+-2.0*t894*t36+2.0*t1711+2.0*t1601-2.0*t994*t14+2.0*t1662-2.0*t868*t4)*t824;
+ t1749 = t226*t377;
+ t1752 = t1673*t7;
+ t1755 = t1694*t7;
+ t1766 = t873*t16;
+ t1769 = t1673*t16;
+ t1772 = t1631*t7;
+ t1777 = 2.0*t181*t1749+2.0*t1481*t1752+2.0*t1524*t1755+2.0*t345*t898*t7+
+t408*t244+t745*t377+2.0*t345*t894*t7+2.0*t127*t1766+2.0*t560*t1769+2.0*t1543*
+t1772+2.0*t1514*t1752;
+ t1782 = t117*t244;
+ t1791 = t1652*t7;
+ t1794 = t862*t7;
+ t1803 = 2.0*t474*t994*t7+t255*t151+2.0*t102*t1782+2.0*t25*t102*t244+2.0*
+t70*t894*t16+2.0*t341*t1791+2.0*t317*t1794+t759*t377+2.0*t60*t1749+t222*t377+
+2.0*t307*t1752;
+ t1809 = t1009*t7;
+ t1819 = t112*t151;
+ t1830 = 2.0*t1540*t1769+2.0*t25*t1782+2.0*t317*t1809+2.0*t1543*t1755+t328
+*t244+2.0*t1465*t1755+2.0*t1476*t1752+2.0*t11*t1819+2.0*t60*t181*t377+2.0*t474*
+t873*t7+2.0*t1497*t1769;
+ t1834 = t1631*t16;
+ t1855 = 2.0*t11*t19*t151+2.0*t1582*t1834+2.0*t1465*t1772+2.0*t1504*t1755+
+2.0*t294*t862*t16+2.0*t1567*t1834+t637*t151+t625*t244+t312*t151+2.0*t19*t1819+
+2.0*t1484*t1769+2.0*t1585*t1791;
+ partial_Theta_X_wrt_partial_dd_h_22 = (t1777+t1803+t1830+t1855)*t792+(-
+t71*t151-2.0*t1766-2.0*t1794-t101*t244-2.0*t1809-t59*t377)*t824;
+ partial_Theta_Y_wrt_partial_dd_h_11 = RATIONAL(0.0,1.0);
+ partial_Theta_Y_wrt_partial_dd_h_12 = RATIONAL(0.0,1.0);
+ partial_Theta_Y_wrt_partial_dd_h_22 = RATIONAL(0.0,1.0);
generated by cgit v1.2.3 (git 2.39.1) at 2024-05-19 03:48:21 +0000