/* * 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 */ 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; 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;