##############ECHO OF PROBLEM################# ##############temp/sing6_backpostode.ode################# diff ( y , x , 1 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; ! // BEGIN FIRST INPUT BLOCK Digits=30; max_terms=20; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(3.0); x_end=c(2.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=1; array_given_rad_poles[1][1]=c(6.0); array_given_rad_poles[1][2]=c(0.0); array_given_ord_poles[1][1]=c(3.0); array_given_ord_poles[1][2]=c(0.0); // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=false; glob_h=c(0.001); glob_display_interval=c(0.01); // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(c(1.0)/ ( c(x) - c(6.0) ) / ( c(x) - c(6.0) )); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 2.999 y[1] (closed_form) = 0.11103707405762 y[1] (numeric) = 0.11103707405762 absolute error = 2.775557561562891e-17 relative error = 2.499667417499295e-14 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.998 y[1] (closed_form) = 0.1109631109795335 y[1] (numeric) = 0.1109631109795335 absolute error = 2.775557561562891e-17 relative error = 2.501333584703502e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.997 y[1] (closed_form) = 0.1108892217783327 y[1] (numeric) = 0.1108892217783327 absolute error = 4.163336342344337e-17 relative error = 3.75450046052883e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.996 y[1] (closed_form) = 0.1108154063556625 y[1] (numeric) = 0.1108154063556625 absolute error = 4.163336342344337e-17 relative error = 3.757001376669677e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.995000000000001 y[1] (closed_form) = 0.1107416646133317 y[1] (numeric) = 0.1107416646133316 absolute error = 4.163336342344337e-17 relative error = 3.759503125477791e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.994000000000001 y[1] (closed_form) = 0.1106679964533121 y[1] (numeric) = 0.110667996453312 absolute error = 5.551115123125783e-17 relative error = 5.016007609270898e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.993000000000001 y[1] (closed_form) = 0.1105944017777387 y[1] (numeric) = 0.1105944017777386 absolute error = 6.938893903907228e-17 relative error = 6.274181868493042e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.992000000000001 y[1] (closed_form) = 0.1105208804889091 y[1] (numeric) = 0.110520880488909 absolute error = 8.326672684688674e-17 relative error = 7.534026735811489e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.991000000000001 y[1] (closed_form) = 0.1104474324892831 y[1] (numeric) = 0.110447432489283 absolute error = 8.326672684688674e-17 relative error = 7.539036894765866e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.990000000000001 y[1] (closed_form) = 0.1103740576814826 y[1] (numeric) = 0.1103740576814825 absolute error = 9.71445146547012e-17 relative error = 8.801390172230576e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.989000000000001 y[1] (closed_form) = 0.1103007559682913 y[1] (numeric) = 0.1103007559682912 absolute error = 1.110223024625157e-16 relative error = 1.006541627823764e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.988000000000001 y[1] (closed_form) = 0.1102275272526539 y[1] (numeric) = 0.1102275272526538 absolute error = 9.71445146547012e-17 relative error = 8.813090257575588e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.987000000000001 y[1] (closed_form) = 0.1101543714376766 y[1] (numeric) = 0.1101543714376765 absolute error = 1.110223024625157e-16 relative error = 1.007879224523832e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.986000000000002 y[1] (closed_form) = 0.1100812884266259 y[1] (numeric) = 0.1100812884266257 absolute error = 1.249000902703301e-16 relative error = 1.134616900433371e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.985000000000002 y[1] (closed_form) = 0.1100082781229289 y[1] (numeric) = 0.1100082781229287 absolute error = 1.249000902703301e-16 relative error = 1.13536992307761e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.984000000000002 y[1] (closed_form) = 0.1099353404301727 y[1] (numeric) = 0.1099353404301726 absolute error = 1.387778780781446e-16 relative error = 1.26235910613559e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.983000000000002 y[1] (closed_form) = 0.1098624752521043 y[1] (numeric) = 0.1098624752521041 absolute error = 1.52655665885959e-16 relative error = 1.389515988381438e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.982000000000002 y[1] (closed_form) = 0.10978968249263 y[1] (numeric) = 0.1097896824926298 absolute error = 1.665334536937735e-16 relative error = 1.516840653081884e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.981000000000002 y[1] (closed_form) = 0.1097169620558151 y[1] (numeric) = 0.109716962055815 absolute error = 1.665334536937735e-16 relative error = 1.517846015541833e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.980000000000002 y[1] (closed_form) = 0.1096443138458841 y[1] (numeric) = 0.1096443138458839 absolute error = 1.804112415015879e-16 relative error = 1.64542268699108e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.979000000000002 y[1] (closed_form) = 0.1095717377672196 y[1] (numeric) = 0.1095717377672194 absolute error = 1.804112415015879e-16 relative error = 1.646512551300991e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.978000000000002 y[1] (closed_form) = 0.1094992337243626 y[1] (numeric) = 0.1094992337243624 absolute error = 1.804112415015879e-16 relative error = 1.647602776433386e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.977000000000003 y[1] (closed_form) = 0.1094268016220118 y[1] (numeric) = 0.1094268016220116 absolute error = 2.081668171172169e-16 relative error = 1.902338495063379e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.976000000000003 y[1] (closed_form) = 0.1093544413650236 y[1] (numeric) = 0.1093544413650234 absolute error = 2.081668171172169e-16 relative error = 1.903597279806487e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.975000000000003 y[1] (closed_form) = 0.1092821528584115 y[1] (numeric) = 0.1092821528584113 absolute error = 2.081668171172169e-16 relative error = 1.904856480883229e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.974000000000003 y[1] (closed_form) = 0.1092099360073461 y[1] (numeric) = 0.1092099360073459 absolute error = 2.220446049250313e-16 relative error = 2.033190504846512e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.973000000000003 y[1] (closed_form) = 0.1091377907171545 y[1] (numeric) = 0.1091377907171542 absolute error = 2.359223927328458e-16 relative error = 2.161692949642631e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.972000000000003 y[1] (closed_form) = 0.10906571689332 y[1] (numeric) = 0.1090657168933197 absolute error = 2.498001805406602e-16 relative error = 2.290363898538312e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.971000000000003 y[1] (closed_form) = 0.1089937144414821 y[1] (numeric) = 0.1089937144414819 absolute error = 2.498001805406602e-16 relative error = 2.291876938231847e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.970000000000003 y[1] (closed_form) = 0.1089217832674359 y[1] (numeric) = 0.1089217832674356 absolute error = 2.636779683484747e-16 relative error = 2.420801059610505e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.969000000000003 y[1] (closed_form) = 0.1088499232771318 y[1] (numeric) = 0.1088499232771316 absolute error = 2.636779683484747e-16 relative error = 2.422399211776666e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.968000000000004 y[1] (closed_form) = 0.1087781343766754 y[1] (numeric) = 0.1087781343766752 absolute error = 2.775557561562891e-16 relative error = 2.551576727682908e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.967000000000004 y[1] (closed_form) = 0.108706416472327 y[1] (numeric) = 0.1087064164723267 absolute error = 2.914335439641036e-16 relative error = 2.680923108511195e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.966000000000004 y[1] (closed_form) = 0.1086347694705014 y[1] (numeric) = 0.1086347694705011 absolute error = 2.914335439641036e-16 relative error = 2.682691235822425e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.965000000000004 y[1] (closed_form) = 0.1085631932777674 y[1] (numeric) = 0.108563193277767 absolute error = 3.05311331771918e-16 relative error = 2.812291372000779e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.964000000000004 y[1] (closed_form) = 0.1084916878008477 y[1] (numeric) = 0.1084916878008474 absolute error = 3.191891195797325e-16 relative error = 2.942060595145782e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.963000000000004 y[1] (closed_form) = 0.1084202529466188 y[1] (numeric) = 0.1084202529466185 absolute error = 3.191891195797325e-16 relative error = 2.94399903066899e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.962000000000004 y[1] (closed_form) = 0.1083488886221101 y[1] (numeric) = 0.1083488886221098 absolute error = 3.33066907387547e-16 relative error = 3.074022369986542e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.961000000000004 y[1] (closed_form) = 0.1082775947345042 y[1] (numeric) = 0.1082775947345038 absolute error = 3.33066907387547e-16 relative error = 3.076046417582737e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.960000000000004 y[1] (closed_form) = 0.108206371191136 y[1] (numeric) = 0.1082063711911357 absolute error = 3.608224830031759e-16 relative error = 3.334577058922141e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.959000000000005 y[1] (closed_form) = 0.1081352178994932 y[1] (numeric) = 0.1081352178994928 absolute error = 3.608224830031759e-16 relative error = 3.336771220441283e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.958000000000005 y[1] (closed_form) = 0.108064134767215 y[1] (numeric) = 0.1080641347672147 absolute error = 3.747002708109903e-16 relative error = 3.467387876820983e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.957000000000005 y[1] (closed_form) = 0.1079931217020929 y[1] (numeric) = 0.1079931217020925 absolute error = 4.024558464266192e-16 relative error = 3.726680367077672e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.956000000000005 y[1] (closed_form) = 0.1079221786120693 y[1] (numeric) = 0.1079221786120689 absolute error = 4.024558464266192e-16 relative error = 3.729130115814871e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.955000000000005 y[1] (closed_form) = 0.1078513054052382 y[1] (numeric) = 0.1078513054052377 absolute error = 4.163336342344337e-16 relative error = 3.860255864962512e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.954000000000005 y[1] (closed_form) = 0.107780501989844 y[1] (numeric) = 0.1077805019898436 absolute error = 4.163336342344337e-16 relative error = 3.862791753128634e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.953000000000005 y[1] (closed_form) = 0.107709768274282 y[1] (numeric) = 0.1077097682742816 absolute error = 4.440892098500626e-16 relative error = 4.123017038892826e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.952000000000005 y[1] (closed_form) = 0.1076391041670976 y[1] (numeric) = 0.1076391041670972 absolute error = 4.440892098500626e-16 relative error = 4.125723762626862e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.951000000000005 y[1] (closed_form) = 0.1075685095769861 y[1] (numeric) = 0.1075685095769857 absolute error = 4.579669976578771e-16 relative error = 4.257444854993671e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.950000000000006 y[1] (closed_form) = 0.1074979844127927 y[1] (numeric) = 0.1074979844127922 absolute error = 4.579669976578771e-16 relative error = 4.260237995712386e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.949000000000006 y[1] (closed_form) = 0.1074275285835115 y[1] (numeric) = 0.107427528583511 absolute error = 4.579669976578771e-16 relative error = 4.263032052365096e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.948000000000006 y[1] (closed_form) = 0.1073571419982861 y[1] (numeric) = 0.1073571419982857 absolute error = 4.718447854656915e-16 relative error = 4.395094510556402e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.947000000000006 y[1] (closed_form) = 0.1072868245664088 y[1] (numeric) = 0.1072868245664083 absolute error = 4.718447854656915e-16 relative error = 4.39797512297167e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.946000000000006 y[1] (closed_form) = 0.1072165761973201 y[1] (numeric) = 0.1072165761973196 absolute error = 4.85722573273506e-16 relative error = 4.530293640225817e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.945000000000006 y[1] (closed_form) = 0.107146396800609 y[1] (numeric) = 0.1071463968006085 absolute error = 4.85722573273506e-16 relative error = 4.533260919425945e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.944000000000006 y[1] (closed_form) = 0.1070762862860123 y[1] (numeric) = 0.1070762862860118 absolute error = 4.996003610813204e-16 relative error = 4.66583571778754e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.943000000000006 y[1] (closed_form) = 0.1070062445634144 y[1] (numeric) = 0.1070062445634139 absolute error = 4.996003610813204e-16 relative error = 4.668889774794829e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.942000000000006 y[1] (closed_form) = 0.106936271542847 y[1] (numeric) = 0.1069362715428465 absolute error = 5.134781488891349e-16 relative error = 4.801721076308476e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.941000000000006 y[1] (closed_form) = 0.1068663671344889 y[1] (numeric) = 0.1068663671344884 absolute error = 5.134781488891349e-16 relative error = 4.804862022145231e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.940000000000007 y[1] (closed_form) = 0.1067965312486655 y[1] (numeric) = 0.106796531248665 absolute error = 5.273559366969494e-16 relative error = 4.937950048855534e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.939000000000007 y[1] (closed_form) = 0.1067267637958488 y[1] (numeric) = 0.1067267637958483 absolute error = 5.551115123125783e-16 relative error = 5.2012399942569e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.938000000000007 y[1] (closed_form) = 0.1066570646866569 y[1] (numeric) = 0.1066570646866564 absolute error = 5.412337245047638e-16 relative error = 5.07452296849562e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.937000000000007 y[1] (closed_form) = 0.1065874338318539 y[1] (numeric) = 0.1065874338318533 absolute error = 5.551115123125783e-16 relative error = 5.208039000059704e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.936000000000007 y[1] (closed_form) = 0.1065178711423493 y[1] (numeric) = 0.1065178711423487 absolute error = 5.689893001203927e-16 relative error = 5.341726172503034e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.935000000000007 y[1] (closed_form) = 0.106448376529198 y[1] (numeric) = 0.1064483765291974 absolute error = 5.828670879282072e-16 relative error = 5.475584569092336e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.934000000000007 y[1] (closed_form) = 0.1063789499035999 y[1] (numeric) = 0.1063789499035993 absolute error = 5.828670879282072e-16 relative error = 5.479158127208424e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.933000000000007 y[1] (closed_form) = 0.1063095911768998 y[1] (numeric) = 0.1063095911768992 absolute error = 6.106226635438361e-16 relative error = 5.743815367775768e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.932000000000007 y[1] (closed_form) = 0.1062403002605867 y[1] (numeric) = 0.1062403002605861 absolute error = 5.967448757360216e-16 relative error = 5.616935139229868e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.931000000000008 y[1] (closed_form) = 0.1061710770662941 y[1] (numeric) = 0.1061710770662934 absolute error = 6.106226635438361e-16 relative error = 5.751308929102777e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.930000000000008 y[1] (closed_form) = 0.106101921505799 y[1] (numeric) = 0.1061019215057984 absolute error = 6.245004513516506e-16 relative error = 5.885854303944141e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.929000000000008 y[1] (closed_form) = 0.1060328334910224 y[1] (numeric) = 0.1060328334910217 absolute error = 6.38378239159465e-16 relative error = 6.02057134702069e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.928000000000008 y[1] (closed_form) = 0.1059638129340283 y[1] (numeric) = 0.1059638129340277 absolute error = 6.38378239159465e-16 relative error = 6.024492904543846e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.927000000000008 y[1] (closed_form) = 0.1058948597470241 y[1] (numeric) = 0.1058948597470234 absolute error = 6.38378239159465e-16 relative error = 6.028415738823481e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.926000000000008 y[1] (closed_form) = 0.1058259738423597 y[1] (numeric) = 0.105825973842359 absolute error = 6.661338147750939e-16 relative error = 6.294615495505662e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.925000000000008 y[1] (closed_form) = 0.1057571551325275 y[1] (numeric) = 0.1057571551325268 absolute error = 6.661338147750939e-16 relative error = 6.298711552332713e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.924000000000008 y[1] (closed_form) = 0.1056884035301623 y[1] (numeric) = 0.1056884035301617 absolute error = 6.522560269672795e-16 relative error = 6.171500421814325e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.923000000000008 y[1] (closed_form) = 0.1056197189480409 y[1] (numeric) = 0.1056197189480402 absolute error = 6.800116025829084e-16 relative error = 6.438301572431157e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.922000000000009 y[1] (closed_form) = 0.1055511012990813 y[1] (numeric) = 0.1055511012990806 absolute error = 6.800116025829084e-16 relative error = 6.442487043845055e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.921000000000009 y[1] (closed_form) = 0.1054825504963435 y[1] (numeric) = 0.1054825504963428 absolute error = 6.800116025829084e-16 relative error = 6.446673875282157e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.920000000000009 y[1] (closed_form) = 0.1054140664530281 y[1] (numeric) = 0.1054140664530274 absolute error = 6.938893903907228e-16 relative error = 6.582512313002515e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.919000000000009 y[1] (closed_form) = 0.1053456490824769 y[1] (numeric) = 0.1053456490824762 absolute error = 6.938893903907228e-16 relative error = 6.586787365536713e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.918000000000009 y[1] (closed_form) = 0.105277298298172 y[1] (numeric) = 0.1052772982981713 absolute error = 7.216449660063518e-16 relative error = 6.854706358083677e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.917000000000009 y[1] (closed_form) = 0.1052090140137361 y[1] (numeric) = 0.1052090140137354 absolute error = 7.216449660063518e-16 relative error = 6.859155299299105e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.916000000000009 y[1] (closed_form) = 0.1051407961429316 y[1] (numeric) = 0.1051407961429308 absolute error = 7.216449660063518e-16 relative error = 6.863605683804467e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.915000000000009 y[1] (closed_form) = 0.1050726445996607 y[1] (numeric) = 0.10507264459966 absolute error = 7.355227538141662e-16 relative error = 7.000135540668985e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.914000000000009 y[1] (closed_form) = 0.1050045592979654 y[1] (numeric) = 0.1050045592979646 absolute error = 7.355227538141662e-16 relative error = 7.004674451582773e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.91300000000001 y[1] (closed_form) = 0.1049365401520264 y[1] (numeric) = 0.1049365401520257 absolute error = 7.494005416219807e-16 relative error = 7.141464170023992e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.91200000000001 y[1] (closed_form) = 0.1048685870761638 y[1] (numeric) = 0.104868587076163 absolute error = 7.632783294297951e-16 relative error = 7.278426750190146e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.91100000000001 y[1] (closed_form) = 0.104800699984836 y[1] (numeric) = 0.1048006999848352 absolute error = 7.771561172376096e-16 relative error = 7.415562275347961e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.91000000000001 y[1] (closed_form) = 0.1047328787926401 y[1] (numeric) = 0.1047328787926393 absolute error = 7.771561172376096e-16 relative error = 7.420364322996372e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.90900000000001 y[1] (closed_form) = 0.104665123414311 y[1] (numeric) = 0.1046651234143102 absolute error = 7.771561172376096e-16 relative error = 7.425167924957018e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.90800000000001 y[1] (closed_form) = 0.1045974337647217 y[1] (numeric) = 0.1045974337647209 absolute error = 7.771561172376096e-16 relative error = 7.429973081229898e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.90700000000001 y[1] (closed_form) = 0.1045298097588828 y[1] (numeric) = 0.104529809758882 absolute error = 7.91033905045424e-16 relative error = 7.567543716668851e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.90600000000001 y[1] (closed_form) = 0.1044622513119421 y[1] (numeric) = 0.1044622513119413 absolute error = 8.049116928532385e-16 relative error = 7.705287630166372e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.90500000000001 y[1] (closed_form) = 0.1043947583391845 y[1] (numeric) = 0.1043947583391837 absolute error = 8.187894806610529e-16 relative error = 7.843204904989189e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.904000000000011 y[1] (closed_form) = 0.1043273307560317 y[1] (numeric) = 0.1043273307560308 absolute error = 8.187894806610529e-16 relative error = 7.848274030663962e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.903000000000011 y[1] (closed_form) = 0.1042599684780419 y[1] (numeric) = 0.104259968478041 absolute error = 8.326672684688674e-16 relative error = 7.986452332797656e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.902000000000011 y[1] (closed_form) = 0.1041926714209095 y[1] (numeric) = 0.1041926714209087 absolute error = 8.465450562766819e-16 relative error = 8.12480421830125e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.901000000000011 y[1] (closed_form) = 0.1041254395004652 y[1] (numeric) = 0.1041254395004643 absolute error = 8.465450562766819e-16 relative error = 8.130050258014997e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.900000000000011 y[1] (closed_form) = 0.104058272632675 y[1] (numeric) = 0.1040582726326742 absolute error = 8.604228440844963e-16 relative error = 8.26866353165195e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.899000000000011 y[1] (closed_form) = 0.1039911707336408 y[1] (numeric) = 0.1039911707336399 absolute error = 8.604228440844963e-16 relative error = 8.273999013708118e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.898000000000011 y[1] (closed_form) = 0.1039241337195993 y[1] (numeric) = 0.1039241337195984 absolute error = 8.604228440844963e-16 relative error = 8.279336216609975e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.897000000000011 y[1] (closed_form) = 0.1038571615069225 y[1] (numeric) = 0.1038571615069216 absolute error = 8.743006318923108e-16 relative error = 8.418298932943929e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.896000000000011 y[1] (closed_form) = 0.1037902540121168 y[1] (numeric) = 0.1037902540121159 absolute error = 8.743006318923108e-16 relative error = 8.423725716966084e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.895000000000012 y[1] (closed_form) = 0.1037234111518233 y[1] (numeric) = 0.1037234111518224 absolute error = 8.881784197001252e-16 relative error = 8.562950348789336e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.894000000000012 y[1] (closed_form) = 0.1036566328428171 y[1] (numeric) = 0.1036566328428162 absolute error = 8.881784197001252e-16 relative error = 8.568466824954094e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.893000000000012 y[1] (closed_form) = 0.1035899190020072 y[1] (numeric) = 0.1035899190020063 absolute error = 9.159339953157541e-16 relative error = 8.841922111146803e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.892000000000012 y[1] (closed_form) = 0.1035232695464364 y[1] (numeric) = 0.1035232695464355 absolute error = 9.020562075079397e-16 relative error = 8.713559873640909e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.891000000000012 y[1] (closed_form) = 0.1034566843932806 y[1] (numeric) = 0.1034566843932797 absolute error = 9.159339953157541e-16 relative error = 8.853309002576569e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.890000000000012 y[1] (closed_form) = 0.1033901634598492 y[1] (numeric) = 0.1033901634598483 absolute error = 9.159339953157541e-16 relative error = 8.859005196093438e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.889000000000012 y[1] (closed_form) = 0.1033237066635843 y[1] (numeric) = 0.1033237066635834 absolute error = 9.436895709313831e-16 relative error = 9.133330591826122e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.888000000000012 y[1] (closed_form) = 0.1032573139220606 y[1] (numeric) = 0.1032573139220596 absolute error = 9.575673587391975e-16 relative error = 9.273603218673468e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.887000000000012 y[1] (closed_form) = 0.1031909851529851 y[1] (numeric) = 0.1031909851529841 absolute error = 9.436895709313831e-16 relative error = 9.145077639605076e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.886000000000013 y[1] (closed_form) = 0.1031247202741971 y[1] (numeric) = 0.1031247202741961 absolute error = 9.575673587391975e-16 relative error = 9.285526847424489e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.885000000000013 y[1] (closed_form) = 0.1030585192036677 y[1] (numeric) = 0.1030585192036667 absolute error = 9.71445146547012e-16 relative error = 9.426150832103553e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.884000000000013 y[1] (closed_form) = 0.1029923818594995 y[1] (numeric) = 0.1029923818594985 absolute error = 9.575673587391975e-16 relative error = 9.297458136714378e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.883000000000013 y[1] (closed_form) = 0.1029263081599265 y[1] (numeric) = 0.1029263081599255 absolute error = 9.71445146547012e-16 relative error = 9.438258924410114e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.882000000000013 y[1] (closed_form) = 0.1028602980233139 y[1] (numeric) = 0.102860298023313 absolute error = 9.853229343548264e-16 relative error = 9.579234683254532e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.881000000000013 y[1] (closed_form) = 0.1027943513681577 y[1] (numeric) = 0.1027943513681567 absolute error = 9.853229343548264e-16 relative error = 9.585380142396102e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.880000000000013 y[1] (closed_form) = 0.1027284681130844 y[1] (numeric) = 0.1027284681130834 absolute error = 9.992007221626409e-16 relative error = 9.72661950981993e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.879000000000013 y[1] (closed_form) = 0.1026626481768508 y[1] (numeric) = 0.1026626481768498 absolute error = 9.992007221626409e-16 relative error = 9.732855521526946e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.878000000000013 y[1] (closed_form) = 0.1025968914783441 y[1] (numeric) = 0.1025968914783431 absolute error = 9.992007221626409e-16 relative error = 9.739093531635406e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.877000000000014 y[1] (closed_form) = 0.102531197936581 y[1] (numeric) = 0.10253119793658 absolute error = 9.992007221626409e-16 relative error = 9.745333540145313e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.876000000000014 y[1] (closed_form) = 0.102465567470708 y[1] (numeric) = 0.102465567470707 absolute error = 1.02695629777827e-15 relative error = 1.002245264558601e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.875000000000014 y[1] (closed_form) = 0.1024000000000009 y[1] (numeric) = 0.1023999999999999 absolute error = 1.013078509970455e-15 relative error = 9.893344823930141e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.874000000000014 y[1] (closed_form) = 0.1023344954438645 y[1] (numeric) = 0.1023344954438635 absolute error = 1.040834085586084e-15 relative error = 1.017090162092051e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.873000000000014 y[1] (closed_form) = 0.1022690537218326 y[1] (numeric) = 0.1022690537218315 absolute error = 1.040834085586084e-15 relative error = 1.017740995645768e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.872000000000014 y[1] (closed_form) = 0.1022036747535674 y[1] (numeric) = 0.1022036747535664 absolute error = 1.054711873393899e-15 relative error = 1.031970597864519e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.871000000000014 y[1] (closed_form) = 0.1021383584588597 y[1] (numeric) = 0.1021383584588587 absolute error = 1.054711873393899e-15 relative error = 1.032630531083702e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.870000000000014 y[1] (closed_form) = 0.1020731047576284 y[1] (numeric) = 0.1020731047576273 absolute error = 1.082467449009528e-15 relative error = 1.060482535120134e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.869000000000014 y[1] (closed_form) = 0.1020079135699199 y[1] (numeric) = 0.1020079135699188 absolute error = 1.054711873393899e-15 relative error = 1.033951030349191e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.868000000000015 y[1] (closed_form) = 0.1019427848159086 y[1] (numeric) = 0.1019427848159075 absolute error = 1.068589661201713e-15 relative error = 1.048224906874386e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.867000000000015 y[1] (closed_form) = 0.1018777184158962 y[1] (numeric) = 0.1018777184158951 absolute error = 1.082467449009528e-15 relative error = 1.062516383210078e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.866000000000015 y[1] (closed_form) = 0.1018127142903114 y[1] (numeric) = 0.1018127142903103 absolute error = 1.082467449009528e-15 relative error = 1.063194765560372e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.865000000000015 y[1] (closed_form) = 0.1017477723597099 y[1] (numeric) = 0.1017477723597088 absolute error = 1.082467449009528e-15 relative error = 1.063873364404156e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.864000000000015 y[1] (closed_form) = 0.101682892544774 y[1] (numeric) = 0.1016828925447729 absolute error = 1.096345236817342e-15 relative error = 1.07820028460991e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.863000000000015 y[1] (closed_form) = 0.1016180747663124 y[1] (numeric) = 0.1016180747663113 absolute error = 1.096345236817342e-15 relative error = 1.078888021976965e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.862000000000015 y[1] (closed_form) = 0.1015533189452601 y[1] (numeric) = 0.101553318945259 absolute error = 1.110223024625157e-15 relative error = 1.093241497329689e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.861000000000015 y[1] (closed_form) = 0.1014886250026778 y[1] (numeric) = 0.1014886250026766 absolute error = 1.124100812432971e-15 relative error = 1.107612614126275e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.860000000000015 y[1] (closed_form) = 0.1014239928597519 y[1] (numeric) = 0.1014239928597508 absolute error = 1.110223024625157e-15 relative error = 1.094635493359409e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.859000000000016 y[1] (closed_form) = 0.1013594224377944 y[1] (numeric) = 0.1013594224377933 absolute error = 1.124100812432971e-15 relative error = 1.10902448474669e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.858000000000016 y[1] (closed_form) = 0.1012949136582425 y[1] (numeric) = 0.1012949136582414 absolute error = 1.124100812432971e-15 relative error = 1.109730757287142e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.857000000000016 y[1] (closed_form) = 0.1012304664426582 y[1] (numeric) = 0.101230466442657 absolute error = 1.124100812432971e-15 relative error = 1.110437254647756e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.856000000000016 y[1] (closed_form) = 0.1011660807127282 y[1] (numeric) = 0.1011660807127271 absolute error = 1.137978600240785e-15 relative error = 1.124861803702959e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.855000000000016 y[1] (closed_form) = 0.1011017563902639 y[1] (numeric) = 0.1011017563902628 absolute error = 1.1518563880486e-15 relative error = 1.139304033059829e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.854000000000016 y[1] (closed_form) = 0.1010374933972008 y[1] (numeric) = 0.1010374933971997 absolute error = 1.165734175856414e-15 relative error = 1.153763951045038e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.853000000000016 y[1] (closed_form) = 0.1009732916555985 y[1] (numeric) = 0.1009732916555973 absolute error = 1.165734175856414e-15 relative error = 1.154497547561905e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.852000000000016 y[1] (closed_form) = 0.1009091510876402 y[1] (numeric) = 0.1009091510876391 absolute error = 1.179611963664229e-15 relative error = 1.168984131716387e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.851000000000016 y[1] (closed_form) = 0.1008450716156329 y[1] (numeric) = 0.1008450716156317 absolute error = 1.179611963664229e-15 relative error = 1.169726933369907e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.850000000000017 y[1] (closed_form) = 0.1007810531620066 y[1] (numeric) = 0.1007810531620054 absolute error = 1.179611963664229e-15 relative error = 1.170469970945819e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.849000000000017 y[1] (closed_form) = 0.1007170956493146 y[1] (numeric) = 0.1007170956493134 absolute error = 1.193489751472043e-15 relative error = 1.184992223790525e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.848000000000017 y[1] (closed_form) = 0.100653199000233 y[1] (numeric) = 0.1006531990002318 absolute error = 1.193489751472043e-15 relative error = 1.185744480380878e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.847000000000017 y[1] (closed_form) = 0.1005893631375603 y[1] (numeric) = 0.1005893631375591 absolute error = 1.193489751472043e-15 relative error = 1.186496975669181e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.846000000000017 y[1] (closed_form) = 0.1005255879842177 y[1] (numeric) = 0.1005255879842166 absolute error = 1.193489751472043e-15 relative error = 1.187249709655434e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.845000000000017 y[1] (closed_form) = 0.1004618734632484 y[1] (numeric) = 0.1004618734632472 absolute error = 1.207367539279858e-15 relative error = 1.201816667018006e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.844000000000017 y[1] (closed_form) = 0.1003982194978172 y[1] (numeric) = 0.100398219497816 absolute error = 1.235123114895487e-15 relative error = 1.230224122572552e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.843000000000017 y[1] (closed_form) = 0.1003346260112111 y[1] (numeric) = 0.1003346260112098 absolute error = 1.235123114895487e-15 relative error = 1.231003855794985e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.842000000000017 y[1] (closed_form) = 0.1002710929268381 y[1] (numeric) = 0.1002710929268369 absolute error = 1.235123114895487e-15 relative error = 1.231783836042042e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.841000000000018 y[1] (closed_form) = 0.1002076201682277 y[1] (numeric) = 0.1002076201682264 absolute error = 1.249000902703301e-15 relative error = 1.246413097732976e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.840000000000018 y[1] (closed_form) = 0.1001442076590301 y[1] (numeric) = 0.1001442076590289 absolute error = 1.235123114895487e-15 relative error = 1.233344537610024e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.839000000000018 y[1] (closed_form) = 0.1000808553230166 y[1] (numeric) = 0.1000808553230153 absolute error = 1.249000902703301e-15 relative error = 1.247991834873993e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.838000000000018 y[1] (closed_form) = 0.1000175630840787 y[1] (numeric) = 0.1000175630840774 absolute error = 1.262878690511116e-15 relative error = 1.262656929013048e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.837000000000018 y[1] (closed_form) = 0.09995433086622835 y[1] (numeric) = 0.09995433086622708 absolute error = 1.262878690511116e-15 relative error = 1.263455699784796e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.836000000000018 y[1] (closed_form) = 0.09989115859359755 y[1] (numeric) = 0.09989115859359628 absolute error = 1.27675647831893e-15 relative error = 1.278147632177692e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.835000000000018 y[1] (closed_form) = 0.09982804619043813 y[1] (numeric) = 0.09982804619043684 absolute error = 1.290634266126744e-15 relative error = 1.292857383650133e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.834000000000018 y[1] (closed_form) = 0.09976499358112147 y[1] (numeric) = 0.09976499358112018 absolute error = 1.290634266126744e-15 relative error = 1.293674484204018e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.833000000000018 y[1] (closed_form) = 0.0997020006901384 y[1] (numeric) = 0.09970200069013711 absolute error = 1.290634266126744e-15 relative error = 1.294491842884756e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.832000000000019 y[1] (closed_form) = 0.09963906744209891 y[1] (numeric) = 0.09963906744209761 absolute error = 1.304512053934559e-15 relative error = 1.309237518398716e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.831000000000019 y[1] (closed_form) = 0.09957619376173187 y[1] (numeric) = 0.09957619376173056 absolute error = 1.304512053934559e-15 relative error = 1.310064187687294e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.830000000000019 y[1] (closed_form) = 0.09951337957388488 y[1] (numeric) = 0.09951337957388356 absolute error = 1.318389841742373e-15 relative error = 1.324836768068478e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.829000000000019 y[1] (closed_form) = 0.09945062480352404 y[1] (numeric) = 0.09945062480352271 absolute error = 1.332267629550188e-15 relative error = 1.33962720916257e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.828000000000019 y[1] (closed_form) = 0.09938792937573368 y[1] (numeric) = 0.09938792937573233 absolute error = 1.346145417358002e-15 relative error = 1.354435519296244e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.827000000000019 y[1] (closed_form) = 0.09932529321571616 y[1] (numeric) = 0.09932529321571482 absolute error = 1.346145417358002e-15 relative error = 1.355289648563557e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.826000000000019 y[1] (closed_form) = 0.09926271624879167 y[1] (numeric) = 0.09926271624879032 absolute error = 1.346145417358002e-15 relative error = 1.356144047059954e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.825000000000019 y[1] (closed_form) = 0.09920019840039801 y[1] (numeric) = 0.09920019840039664 absolute error = 1.373900992973631e-15 relative error = 1.384978069729464e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.824000000000019 y[1] (closed_form) = 0.09913773959609026 y[1] (numeric) = 0.09913773959608889 absolute error = 1.373900992973631e-15 relative error = 1.385850634250102e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.823000000000019 y[1] (closed_form) = 0.09907533976154075 y[1] (numeric) = 0.09907533976153936 absolute error = 1.387778780781446e-15 relative error = 1.400730781364584e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.82200000000002 y[1] (closed_form) = 0.09901299882253864 y[1] (numeric) = 0.09901299882253725 absolute error = 1.387778780781446e-15 relative error = 1.40161271477977e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.82100000000002 y[1] (closed_form) = 0.09895071670498985 y[1] (numeric) = 0.09895071670498846 absolute error = 1.387778780781446e-15 relative error = 1.402494925750713e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.82000000000002 y[1] (closed_form) = 0.09888849333491678 y[1] (numeric) = 0.09888849333491538 absolute error = 1.40165656858926e-15 relative error = 1.417411188420186e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.81900000000002 y[1] (closed_form) = 0.09882632863845806 y[1] (numeric) = 0.09882632863845665 absolute error = 1.40165656858926e-15 relative error = 1.418302782163465e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.81800000000002 y[1] (closed_form) = 0.09876422254186838 y[1] (numeric) = 0.09876422254186697 absolute error = 1.415534356397075e-15 relative error = 1.433246088478039e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.81700000000002 y[1] (closed_form) = 0.09870217497151827 y[1] (numeric) = 0.09870217497151684 absolute error = 1.429412144204889e-15 relative error = 1.448207341547806e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.81600000000002 y[1] (closed_form) = 0.09864018585389384 y[1] (numeric) = 0.09864018585389241 absolute error = 1.429412144204889e-15 relative error = 1.449117448260021e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.81500000000002 y[1] (closed_form) = 0.09857825511559659 y[1] (numeric) = 0.09857825511559515 absolute error = 1.443289932012704e-15 relative error = 1.464105781057138e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.81400000000002 y[1] (closed_form) = 0.0985163826833432 y[1] (numeric) = 0.09851638268334176 absolute error = 1.443289932012704e-15 relative error = 1.465025301072823e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.813000000000021 y[1] (closed_form) = 0.09845456848396533 y[1] (numeric) = 0.09845456848396388 absolute error = 1.457167719820518e-15 relative error = 1.48004073580175e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.812000000000021 y[1] (closed_form) = 0.09839281244440934 y[1] (numeric) = 0.09839281244440787 absolute error = 1.471045507628332e-15 relative error = 1.495074153368117e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.811000000000021 y[1] (closed_form) = 0.09833111449173612 y[1] (numeric) = 0.09833111449173464 absolute error = 1.484923295436147e-15 relative error = 1.510125562098599e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.810000000000021 y[1] (closed_form) = 0.09826947455312086 y[1] (numeric) = 0.09826947455311938 absolute error = 1.484923295436147e-15 relative error = 1.511072794668757e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.809000000000021 y[1] (closed_form) = 0.09820789255585285 y[1] (numeric) = 0.09820789255585138 absolute error = 1.471045507628332e-15 relative error = 1.497889293156065e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.808000000000021 y[1] (closed_form) = 0.0981463684273353 y[1] (numeric) = 0.09814636842733382 absolute error = 1.484923295436147e-15 relative error = 1.512968150763052e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.807000000000021 y[1] (closed_form) = 0.09808490209508501 y[1] (numeric) = 0.09808490209508351 absolute error = 1.498801083243961e-15 relative error = 1.528065024514171e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.806000000000021 y[1] (closed_form) = 0.09802349348673227 y[1] (numeric) = 0.09802349348673076 absolute error = 1.512678871051776e-15 relative error = 1.543179922736095e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.805000000000021 y[1] (closed_form) = 0.0979621425300206 y[1] (numeric) = 0.09796214253001907 absolute error = 1.52655665885959e-15 relative error = 1.558312853755496e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.804000000000022 y[1] (closed_form) = 0.09790084915280653 y[1] (numeric) = 0.097900849152805 absolute error = 1.52655665885959e-15 relative error = 1.559288476116173e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.803000000000022 y[1] (closed_form) = 0.09783961328305944 y[1] (numeric) = 0.09783961328305792 absolute error = 1.52655665885959e-15 relative error = 1.560264403788182e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.802000000000022 y[1] (closed_form) = 0.0977784348488613 y[1] (numeric) = 0.09777843484885976 absolute error = 1.540434446667405e-15 relative error = 1.575433733469445e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.801000000000022 y[1] (closed_form) = 0.09771731377840641 y[1] (numeric) = 0.09771731377840487 absolute error = 1.540434446667405e-15 relative error = 1.576419149384978e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.800000000000022 y[1] (closed_form) = 0.09765625000000135 y[1] (numeric) = 0.09765624999999979 absolute error = 1.554312234475219e-15 relative error = 1.591615728102602e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.799000000000022 y[1] (closed_form) = 0.09759524344206456 y[1] (numeric) = 0.09759524344206301 absolute error = 1.554312234475219e-15 relative error = 1.59261064336389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.798000000000022 y[1] (closed_form) = 0.09753429403312634 y[1] (numeric) = 0.09753429403312477 absolute error = 1.568190022283034e-15 relative error = 1.607834493322335e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.797000000000022 y[1] (closed_form) = 0.09747340170182846 y[1] (numeric) = 0.09747340170182689 absolute error = 1.568190022283034e-15 relative error = 1.608838919031608e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.796000000000022 y[1] (closed_form) = 0.0974125663769241 y[1] (numeric) = 0.09741256637692251 absolute error = 1.582067810090848e-15 relative error = 1.624090062435334e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.795000000000023 y[1] (closed_form) = 0.09735178798727749 y[1] (numeric) = 0.09735178798727591 absolute error = 1.582067810090848e-15 relative error = 1.625104009694821e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.794000000000023 y[1] (closed_form) = 0.09729106646186386 y[1] (numeric) = 0.09729106646186227 absolute error = 1.595945597898663e-15 relative error = 1.64038246874829e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.793000000000023 y[1] (closed_form) = 0.09723040172976911 y[1] (numeric) = 0.09723040172976752 absolute error = 1.595945597898663e-15 relative error = 1.641405948660223e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.792000000000023 y[1] (closed_form) = 0.0971697937201897 y[1] (numeric) = 0.09716979372018808 absolute error = 1.623701173514291e-15 relative error = 1.670993743374514e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.791000000000023 y[1] (closed_form) = 0.09710924236243232 y[1] (numeric) = 0.09710924236243069 absolute error = 1.623701173514291e-15 relative error = 1.672035672417558e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.790000000000023 y[1] (closed_form) = 0.09704874758591381 y[1] (numeric) = 0.09704874758591217 absolute error = 1.637578961322106e-15 relative error = 1.687377737535887e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.789000000000023 y[1] (closed_form) = 0.09698830932016089 y[1] (numeric) = 0.09698830932015924 absolute error = 1.65145674912992e-15 relative error = 1.702737949249553e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.788000000000023 y[1] (closed_form) = 0.09692792749480994 y[1] (numeric) = 0.0969279274948083 absolute error = 1.637578961322106e-15 relative error = 1.689481043953809e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.787000000000023 y[1] (closed_form) = 0.0968676020396069 y[1] (numeric) = 0.09686760203960525 absolute error = 1.65145674912992e-15 relative error = 1.704859740880835e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.786000000000024 y[1] (closed_form) = 0.09680733288440689 y[1] (numeric) = 0.09680733288440523 absolute error = 1.665334536937735e-15 relative error = 1.720256603832101e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.785000000000024 y[1] (closed_form) = 0.09674711995917414 y[1] (numeric) = 0.09674711995917248 absolute error = 1.65145674912992e-15 relative error = 1.706982853677516e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.784000000000024 y[1] (closed_form) = 0.09668696319398178 y[1] (numeric) = 0.09668696319398011 absolute error = 1.665334536937735e-15 relative error = 1.722398224046603e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.783000000000024 y[1] (closed_form) = 0.09662686251901156 y[1] (numeric) = 0.09662686251900988 absolute error = 1.679212324745549e-15 relative error = 1.737831779868833e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.782000000000024 y[1] (closed_form) = 0.09656681786455373 y[1] (numeric) = 0.09656681786455204 absolute error = 1.693090112553364e-15 relative error = 1.75328352947088e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.781000000000024 y[1] (closed_form) = 0.09650682916100678 y[1] (numeric) = 0.09650682916100509 absolute error = 1.693090112553364e-15 relative error = 1.75437337157633e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.780000000000024 y[1] (closed_form) = 0.09644689633887728 y[1] (numeric) = 0.09644689633887557 absolute error = 1.706967900361178e-15 relative error = 1.769852597810457e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.779000000000024 y[1] (closed_form) = 0.09638701932877961 y[1] (numeric) = 0.0963870193287779 absolute error = 1.706967900361178e-15 relative error = 1.77095205583508e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.778000000000024 y[1] (closed_form) = 0.09632719806143586 y[1] (numeric) = 0.09632719806143415 absolute error = 1.706967900361178e-15 relative error = 1.772051855253282e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.777000000000025 y[1] (closed_form) = 0.09626743246767559 y[1] (numeric) = 0.09626743246767386 absolute error = 1.734723475976807e-15 relative error = 1.801983735838481e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.776000000000025 y[1] (closed_form) = 0.09620772247843555 y[1] (numeric) = 0.09620772247843382 absolute error = 1.734723475976807e-15 relative error = 1.803102112063443e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.775000000000025 y[1] (closed_form) = 0.0961480680247596 y[1] (numeric) = 0.09614806802475787 absolute error = 1.734723475976807e-15 relative error = 1.8042208352331e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.774000000000025 y[1] (closed_form) = 0.09608846903779845 y[1] (numeric) = 0.09608846903779671 absolute error = 1.748601263784622e-15 relative error = 1.819782624590232e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.773000000000025 y[1] (closed_form) = 0.09602892544880948 y[1] (numeric) = 0.09602892544880771 absolute error = 1.762479051592436e-15 relative error = 1.835362671565004e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.772000000000025 y[1] (closed_form) = 0.09596943718915649 y[1] (numeric) = 0.09596943718915472 absolute error = 1.762479051592436e-15 relative error = 1.836500351792807e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.771000000000025 y[1] (closed_form) = 0.09591000419030958 y[1] (numeric) = 0.09591000419030782 absolute error = 1.762479051592436e-15 relative error = 1.83763838451642e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.770000000000025 y[1] (closed_form) = 0.09585062638384492 y[1] (numeric) = 0.09585062638384315 absolute error = 1.77635683940025e-15 relative error = 1.853255326977858e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.769000000000025 y[1] (closed_form) = 0.09579130370144454 y[1] (numeric) = 0.09579130370144276 absolute error = 1.77635683940025e-15 relative error = 1.854403031131795e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.768000000000026 y[1] (closed_form) = 0.09573203607489612 y[1] (numeric) = 0.09573203607489435 absolute error = 1.77635683940025e-15 relative error = 1.855551090557099e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.767000000000026 y[1] (closed_form) = 0.09567282343609289 y[1] (numeric) = 0.0956728234360911 absolute error = 1.790234627208065e-15 relative error = 1.871204970138566e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.766000000000026 y[1] (closed_form) = 0.09561366571703325 y[1] (numeric) = 0.09561366571703146 absolute error = 1.790234627208065e-15 relative error = 1.872362714871981e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.765000000000026 y[1] (closed_form) = 0.09555456284982082 y[1] (numeric) = 0.095554562849819 absolute error = 1.817990202823694e-15 relative error = 1.902567652034529e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.764000000000026 y[1] (closed_form) = 0.09549551476666397 y[1] (numeric) = 0.09549551476666215 absolute error = 1.817990202823694e-15 relative error = 1.903744073494776e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.763000000000026 y[1] (closed_form) = 0.09543652139987589 y[1] (numeric) = 0.09543652139987406 absolute error = 1.831867990631508e-15 relative error = 1.919462239152705e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.762000000000026 y[1] (closed_form) = 0.0953775826818742 y[1] (numeric) = 0.09537758268187237 absolute error = 1.831867990631508e-15 relative error = 1.920648373676639e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.761000000000026 y[1] (closed_form) = 0.09531869854518084 y[1] (numeric) = 0.09531869854517902 absolute error = 1.817990202823694e-15 relative error = 1.907275519463761e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.760000000000026 y[1] (closed_form) = 0.09525986892242193 y[1] (numeric) = 0.09525986892242008 absolute error = 1.845745778439323e-15 relative error = 1.937590088374432e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.759000000000027 y[1] (closed_form) = 0.0952010937463274 y[1] (numeric) = 0.09520109374632556 absolute error = 1.845745778439323e-15 relative error = 1.938786316213438e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.758000000000027 y[1] (closed_form) = 0.09514237294973099 y[1] (numeric) = 0.09514237294972916 absolute error = 1.831867990631508e-15 relative error = 1.925396575508355e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.757000000000027 y[1] (closed_form) = 0.09508370646557 y[1] (numeric) = 0.09508370646556816 absolute error = 1.845745778439323e-15 relative error = 1.941179879338918e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.756000000000027 y[1] (closed_form) = 0.09502509422688502 y[1] (numeric) = 0.09502509422688316 absolute error = 1.859623566247137e-15 relative error = 1.956981554584981e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.755000000000027 y[1] (closed_form) = 0.09496653616681978 y[1] (numeric) = 0.09496653616681794 absolute error = 1.845745778439323e-15 relative error = 1.943574919061021e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.754000000000027 y[1] (closed_form) = 0.0949080322186211 y[1] (numeric) = 0.09490803221861924 absolute error = 1.859623566247137e-15 relative error = 1.959395345973969e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.753000000000027 y[1] (closed_form) = 0.09484958231563842 y[1] (numeric) = 0.09484958231563656 absolute error = 1.859623566247137e-15 relative error = 1.960602799555534e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.752000000000027 y[1] (closed_form) = 0.09479118639132388 y[1] (numeric) = 0.094791186391322 absolute error = 1.873501354054952e-15 relative error = 1.97645100286078e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.751000000000027 y[1] (closed_form) = 0.09473284437923196 y[1] (numeric) = 0.09473284437923007 absolute error = 1.887379141862766e-15 relative error = 1.992317610888216e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.750000000000028 y[1] (closed_form) = 0.09467455621301936 y[1] (numeric) = 0.09467455621301747 absolute error = 1.887379141862766e-15 relative error = 1.993544218592513e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.749000000000028 y[1] (closed_form) = 0.0946163218264448 y[1] (numeric) = 0.09461632182644292 absolute error = 1.887379141862766e-15 relative error = 1.994771203772638e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.748000000000028 y[1] (closed_form) = 0.09455814115336886 y[1] (numeric) = 0.09455814115336697 absolute error = 1.887379141862766e-15 relative error = 1.995998566428591e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.747000000000028 y[1] (closed_form) = 0.09450001412775373 y[1] (numeric) = 0.09450001412775183 absolute error = 1.901256929670581e-15 relative error = 2.011911794108611e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.746000000000028 y[1] (closed_form) = 0.09444194068366304 y[1] (numeric) = 0.09444194068366114 absolute error = 1.901256929670581e-15 relative error = 2.013148941992747e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.745000000000028 y[1] (closed_form) = 0.09438392075526175 y[1] (numeric) = 0.09438392075525985 absolute error = 1.901256929670581e-15 relative error = 2.01438647012827e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.744000000000028 y[1] (closed_form) = 0.09432595427681587 y[1] (numeric) = 0.09432595427681394 absolute error = 1.929012505286209e-15 relative error = 2.045049551924158e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.743000000000028 y[1] (closed_form) = 0.09426804118269225 y[1] (numeric) = 0.09426804118269032 absolute error = 1.929012505286209e-15 relative error = 2.046305917768851e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.742000000000028 y[1] (closed_form) = 0.09421018140735855 y[1] (numeric) = 0.09421018140735661 absolute error = 1.942890293094024e-15 relative error = 2.062293336102492e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.741000000000029 y[1] (closed_form) = 0.09415237488538289 y[1] (numeric) = 0.09415237488538095 absolute error = 1.942890293094024e-15 relative error = 2.063559517706501e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.740000000000029 y[1] (closed_form) = 0.09409462155143376 y[1] (numeric) = 0.09409462155143181 absolute error = 1.956768080901838e-15 relative error = 2.079574845659201e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.739000000000029 y[1] (closed_form) = 0.0940369213402798 y[1] (numeric) = 0.09403692134027783 absolute error = 1.970645868709653e-15 relative error = 2.095608661600819e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.738000000000029 y[1] (closed_form) = 0.0939792741867896 y[1] (numeric) = 0.09397927418678763 absolute error = 1.970645868709653e-15 relative error = 2.096894113900979e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.737000000000029 y[1] (closed_form) = 0.09392168002593157 y[1] (numeric) = 0.09392168002592959 absolute error = 1.984523656517467e-15 relative error = 2.112955875543905e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.736000000000029 y[1] (closed_form) = 0.09386413879277369 y[1] (numeric) = 0.0938641387927717 absolute error = 1.998401444325282e-15 relative error = 2.12903614738021e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.735000000000029 y[1] (closed_form) = 0.09380665042248339 y[1] (numeric) = 0.09380665042248139 absolute error = 1.998401444325282e-15 relative error = 2.13034090368321e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.734000000000029 y[1] (closed_form) = 0.09374921485032731 y[1] (numeric) = 0.09374921485032531 absolute error = 1.998401444325282e-15 relative error = 2.131646059666498e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.733000000000029 y[1] (closed_form) = 0.09369183201167118 y[1] (numeric) = 0.09369183201166918 absolute error = 1.998401444325282e-15 relative error = 2.132951615330076e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.73200000000003 y[1] (closed_form) = 0.09363450184197962 y[1] (numeric) = 0.09363450184197759 absolute error = 2.026157019940911e-15 relative error = 2.163900036933302e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.73100000000003 y[1] (closed_form) = 0.09357722427681586 y[1] (numeric) = 0.09357722427681382 absolute error = 2.040034807748725e-15 relative error = 2.180054840816808e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.73000000000003 y[1] (closed_form) = 0.09351999925184169 y[1] (numeric) = 0.09351999925183967 absolute error = 2.026157019940911e-15 relative error = 2.166549439852577e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.72900000000003 y[1] (closed_form) = 0.0934628267028173 y[1] (numeric) = 0.09346282670281525 absolute error = 2.05391259555654e-15 relative error = 2.197571663531365e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.72800000000003 y[1] (closed_form) = 0.0934057065656009 y[1] (numeric) = 0.09340570656559885 absolute error = 2.05391259555654e-15 relative error = 2.198915538542638e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.72700000000003 y[1] (closed_form) = 0.09334863877614878 y[1] (numeric) = 0.09334863877614671 absolute error = 2.067790383364354e-15 relative error = 2.215126444771135e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.72600000000003 y[1] (closed_form) = 0.09329162327051496 y[1] (numeric) = 0.09329162327051288 absolute error = 2.081668171172169e-15 relative error = 2.231355933357507e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.72500000000003 y[1] (closed_form) = 0.0932346599848511 y[1] (numeric) = 0.09323465998484901 absolute error = 2.095545958979983e-15 relative error = 2.247604012628426e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.72400000000003 y[1] (closed_form) = 0.09317774885540626 y[1] (numeric) = 0.09317774885540417 absolute error = 2.095545958979983e-15 relative error = 2.248976804786154e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.723000000000031 y[1] (closed_form) = 0.09312088981852681 y[1] (numeric) = 0.09312088981852472 absolute error = 2.095545958979983e-15 relative error = 2.250350016053074e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.722000000000031 y[1] (closed_form) = 0.09306408281065616 y[1] (numeric) = 0.09306408281065406 absolute error = 2.095545958979983e-15 relative error = 2.251723646429185e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.721000000000031 y[1] (closed_form) = 0.09300732776833463 y[1] (numeric) = 0.09300732776833252 absolute error = 2.109423746787797e-15 relative error = 2.268018872708623e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.720000000000031 y[1] (closed_form) = 0.09295062462819925 y[1] (numeric) = 0.09295062462819714 absolute error = 2.109423746787797e-15 relative error = 2.269402443744141e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.719000000000031 y[1] (closed_form) = 0.09289397332698363 y[1] (numeric) = 0.0928939733269815 absolute error = 2.123301534595612e-15 relative error = 2.285725821116148e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.718000000000031 y[1] (closed_form) = 0.09283737380151767 y[1] (numeric) = 0.09283737380151556 absolute error = 2.109423746787797e-15 relative error = 2.272170851469425e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.717000000000031 y[1] (closed_form) = 0.0927808259887276 y[1] (numeric) = 0.09278082598872547 absolute error = 2.123301534595612e-15 relative error = 2.288513291370765e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.716000000000031 y[1] (closed_form) = 0.09272432982563553 y[1] (numeric) = 0.09272432982563339 absolute error = 2.137179322403426e-15 relative error = 2.30487438024336e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.715000000000031 y[1] (closed_form) = 0.09266788524935947 y[1] (numeric) = 0.09266788524935733 absolute error = 2.137179322403426e-15 relative error = 2.306278293340247e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.714000000000031 y[1] (closed_form) = 0.09261149219711311 y[1] (numeric) = 0.09261149219711097 absolute error = 2.137179322403426e-15 relative error = 2.307682633872998e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.713000000000032 y[1] (closed_form) = 0.09255515060620563 y[1] (numeric) = 0.09255515060620348 absolute error = 2.151057110211241e-15 relative error = 2.324081475879547e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.712000000000032 y[1] (closed_form) = 0.0924988604140415 y[1] (numeric) = 0.09249886041403933 absolute error = 2.164934898019055e-15 relative error = 2.340498994612926e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.711000000000032 y[1] (closed_form) = 0.09244262155812032 y[1] (numeric) = 0.09244262155811817 absolute error = 2.151057110211241e-15 relative error = 2.326910546190896e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.710000000000032 y[1] (closed_form) = 0.09238643397603674 y[1] (numeric) = 0.09238643397603459 absolute error = 2.151057110211241e-15 relative error = 2.328325726663704e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.709000000000032 y[1] (closed_form) = 0.09233029760548016 y[1] (numeric) = 0.09233029760547799 absolute error = 2.164934898019055e-15 relative error = 2.344771926621146e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.708000000000032 y[1] (closed_form) = 0.09227421238423457 y[1] (numeric) = 0.0922742123842324 absolute error = 2.164934898019055e-15 relative error = 2.346197103264512e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.707000000000032 y[1] (closed_form) = 0.09221817825017847 y[1] (numeric) = 0.09221817825017629 absolute error = 2.17881268582687e-15 relative error = 2.362671576439055e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.706000000000032 y[1] (closed_form) = 0.09216219514128461 y[1] (numeric) = 0.09216219514128243 absolute error = 2.17881268582687e-15 relative error = 2.364106760355209e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.705000000000032 y[1] (closed_form) = 0.09210626299561986 y[1] (numeric) = 0.09210626299561768 absolute error = 2.17881268582687e-15 relative error = 2.3655423800339e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.704000000000033 y[1] (closed_form) = 0.09205038175134501 y[1] (numeric) = 0.09205038175134284 absolute error = 2.17881268582687e-15 relative error = 2.366978435475129e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.703000000000033 y[1] (closed_form) = 0.09199455134671466 y[1] (numeric) = 0.09199455134671247 absolute error = 2.192690473634684e-15 relative error = 2.383500372071753e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.702000000000033 y[1] (closed_form) = 0.09193877172007696 y[1] (numeric) = 0.09193877172007475 absolute error = 2.206568261442499e-15 relative error = 2.400041049233034e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.701000000000033 y[1] (closed_form) = 0.09188304280987349 y[1] (numeric) = 0.09188304280987128 absolute error = 2.206568261442499e-15 relative error = 2.401496722315107e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.700000000000033 y[1] (closed_form) = 0.09182736455463913 y[1] (numeric) = 0.0918273645546369 absolute error = 2.234323837058128e-15 relative error = 2.433178658556252e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.699000000000033 y[1] (closed_form) = 0.09177173689300178 y[1] (numeric) = 0.09177173689299956 absolute error = 2.220446049250313e-15 relative error = 2.419531464070653e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.698000000000033 y[1] (closed_form) = 0.09171615976368233 y[1] (numeric) = 0.0917161597636801 absolute error = 2.234323837058128e-15 relative error = 2.436128859750703e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.697000000000033 y[1] (closed_form) = 0.09166063310549434 y[1] (numeric) = 0.09166063310549212 absolute error = 2.220446049250313e-15 relative error = 2.422464229212502e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.696000000000033 y[1] (closed_form) = 0.09160515685734404 y[1] (numeric) = 0.09160515685734182 absolute error = 2.220446049250313e-15 relative error = 2.423931277917242e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.695000000000034 y[1] (closed_form) = 0.09154973095823001 y[1] (numeric) = 0.09154973095822777 absolute error = 2.234323837058128e-15 relative error = 2.440557513028136e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.694000000000034 y[1] (closed_form) = 0.09149435534724308 y[1] (numeric) = 0.09149435534724083 absolute error = 2.248201624865942e-15 relative error = 2.457202541439279e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.693000000000034 y[1] (closed_form) = 0.09143902996356616 y[1] (numeric) = 0.09143902996356391 absolute error = 2.248201624865942e-15 relative error = 2.458689277173803e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.692000000000034 y[1] (closed_form) = 0.0913837547464741 y[1] (numeric) = 0.09138375474647184 absolute error = 2.262079412673756e-15 relative error = 2.475362737008828e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.691000000000034 y[1] (closed_form) = 0.09132852963533346 y[1] (numeric) = 0.0913285296353312 absolute error = 2.262079412673756e-15 relative error = 2.476859554956195e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.690000000000034 y[1] (closed_form) = 0.09127335456960237 y[1] (numeric) = 0.09127335456960012 absolute error = 2.248201624865942e-15 relative error = 2.463152182219324e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.689000000000034 y[1] (closed_form) = 0.09121822948883043 y[1] (numeric) = 0.09121822948882817 absolute error = 2.262079412673756e-15 relative error = 2.479854548098574e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.688000000000034 y[1] (closed_form) = 0.09116315433265842 y[1] (numeric) = 0.09116315433265616 absolute error = 2.262079412673756e-15 relative error = 2.481352723293588e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.687000000000034 y[1] (closed_form) = 0.09110812904081825 y[1] (numeric) = 0.09110812904081597 absolute error = 2.275957200481571e-15 relative error = 2.498083567781199e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.686000000000035 y[1] (closed_form) = 0.09105315355313268 y[1] (numeric) = 0.09105315355313041 absolute error = 2.262079412673756e-15 relative error = 2.484350430931263e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.685000000000035 y[1] (closed_form) = 0.09099822780951532 y[1] (numeric) = 0.09099822780951303 absolute error = 2.289834988289385e-15 relative error = 2.51635118991839e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.684000000000035 y[1] (closed_form) = 0.09094335174997026 y[1] (numeric) = 0.09094335174996797 absolute error = 2.289834988289385e-15 relative error = 2.517869579499124e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.683000000000035 y[1] (closed_form) = 0.09088852531459209 y[1] (numeric) = 0.0908885253145898 absolute error = 2.289834988289385e-15 relative error = 2.519388427046856e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.682000000000035 y[1] (closed_form) = 0.09083374844356563 y[1] (numeric) = 0.09083374844356333 absolute error = 2.3037127760972e-15 relative error = 2.536185961243778e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.681000000000035 y[1] (closed_form) = 0.09077902107716582 y[1] (numeric) = 0.0907790210771635 absolute error = 2.317590563905014e-15 relative error = 2.553002374783232e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.680000000000035 y[1] (closed_form) = 0.09072434315575748 y[1] (numeric) = 0.09072434315575516 absolute error = 2.317590563905014e-15 relative error = 2.554541023158609e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.679000000000035 y[1] (closed_form) = 0.09066971461979526 y[1] (numeric) = 0.09066971461979292 absolute error = 2.331468351712829e-15 relative error = 2.571386004124266e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.678000000000035 y[1] (closed_form) = 0.09061513540982338 y[1] (numeric) = 0.09061513540982105 absolute error = 2.331468351712829e-15 relative error = 2.572934798550309e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.677000000000036 y[1] (closed_form) = 0.09056060546647554 y[1] (numeric) = 0.09056060546647321 absolute error = 2.331468351712829e-15 relative error = 2.574484059270022e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.676000000000036 y[1] (closed_form) = 0.0905061247304747 y[1] (numeric) = 0.09050612473047237 absolute error = 2.331468351712829e-15 relative error = 2.576033786283405e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.675000000000036 y[1] (closed_form) = 0.09045169314263296 y[1] (numeric) = 0.09045169314263062 absolute error = 2.345346139520643e-15 relative error = 2.592926741373735e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.674000000000036 y[1] (closed_form) = 0.09039731064385138 y[1] (numeric) = 0.09039731064384902 absolute error = 2.359223927328458e-15 relative error = 2.609838622991077e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.673000000000036 y[1] (closed_form) = 0.0903429771751198 y[1] (numeric) = 0.09034297717511745 absolute error = 2.345346139520643e-15 relative error = 2.596046989877753e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.672000000000036 y[1] (closed_form) = 0.09028869267751675 y[1] (numeric) = 0.0902886926775144 absolute error = 2.359223927328458e-15 relative error = 2.612978278193566e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.671000000000036 y[1] (closed_form) = 0.09023445709220922 y[1] (numeric) = 0.09023445709220686 absolute error = 2.359223927328458e-15 relative error = 2.614548813561989e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.670000000000036 y[1] (closed_form) = 0.09018027036045251 y[1] (numeric) = 0.09018027036045015 absolute error = 2.359223927328458e-15 relative error = 2.616119820775196e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.669000000000036 y[1] (closed_form) = 0.09012613242359012 y[1] (numeric) = 0.09012613242358775 absolute error = 2.373101715136272e-15 relative error = 2.633089483949855e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.668000000000037 y[1] (closed_form) = 0.09007204322305351 y[1] (numeric) = 0.09007204322305114 absolute error = 2.373101715136272e-15 relative error = 2.63467068162265e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.667000000000037 y[1] (closed_form) = 0.09001800270036203 y[1] (numeric) = 0.09001800270035966 absolute error = 2.373101715136272e-15 relative error = 2.636252353915789e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.666000000000037 y[1] (closed_form) = 0.0899640107971227 y[1] (numeric) = 0.08996401079712033 absolute error = 2.373101715136272e-15 relative error = 2.63783450082927e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.665000000000037 y[1] (closed_form) = 0.08991006745503011 y[1] (numeric) = 0.08991006745502771 absolute error = 2.400857290751901e-15 relative error = 2.670287498063247e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.664000000000037 y[1] (closed_form) = 0.08985617261586613 y[1] (numeric) = 0.08985617261586373 absolute error = 2.400857290751901e-15 relative error = 2.671889109961907e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.663000000000037 y[1] (closed_form) = 0.08980232622149999 y[1] (numeric) = 0.08980232622149756 absolute error = 2.42861286636753e-15 relative error = 2.70439861477228e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.662000000000037 y[1] (closed_form) = 0.08974852821388782 y[1] (numeric) = 0.0897485282138854 absolute error = 2.414735078559715e-15 relative error = 2.690556744067092e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.661000000000037 y[1] (closed_form) = 0.08969477853507279 y[1] (numeric) = 0.08969477853507038 absolute error = 2.414735078559715e-15 relative error = 2.692169062679046e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.660000000000037 y[1] (closed_form) = 0.08964107712718478 y[1] (numeric) = 0.08964107712718235 absolute error = 2.42861286636753e-15 relative error = 2.709263369204901e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.659000000000038 y[1] (closed_form) = 0.08958742393244019 y[1] (numeric) = 0.08958742393243777 absolute error = 2.42861286636753e-15 relative error = 2.710885925460921e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.658000000000038 y[1] (closed_form) = 0.08953381889314198 y[1] (numeric) = 0.08953381889313954 absolute error = 2.442490654175344e-15 relative error = 2.728009018682026e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.657000000000038 y[1] (closed_form) = 0.08948026195167928 y[1] (numeric) = 0.08948026195167684 absolute error = 2.442490654175344e-15 relative error = 2.729641823684342e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.656000000000038 y[1] (closed_form) = 0.08942675305052743 y[1] (numeric) = 0.08942675305052498 absolute error = 2.442490654175344e-15 relative error = 2.731275117184788e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.655000000000038 y[1] (closed_form) = 0.08937329213224769 y[1] (numeric) = 0.08937329213224525 absolute error = 2.442490654175344e-15 relative error = 2.732908899183366e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.654000000000038 y[1] (closed_form) = 0.08931987913948718 y[1] (numeric) = 0.08931987913948472 absolute error = 2.456368441983159e-15 relative error = 2.75008034678053e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.653000000000038 y[1] (closed_form) = 0.08926651401497863 y[1] (numeric) = 0.08926651401497618 absolute error = 2.456368441983159e-15 relative error = 2.751724394178749e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.652000000000038 y[1] (closed_form) = 0.08921319670154036 y[1] (numeric) = 0.08921319670153789 absolute error = 2.470246229790973e-15 relative error = 2.768924689533429e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.651000000000038 y[1] (closed_form) = 0.08915992714207599 y[1] (numeric) = 0.08915992714207351 absolute error = 2.484124017598788e-15 relative error = 2.786144064070786e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.650000000000039 y[1] (closed_form) = 0.08910670527957433 y[1] (numeric) = 0.08910670527957186 absolute error = 2.470246229790973e-15 relative error = 2.772233831382856e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.649000000000039 y[1] (closed_form) = 0.08905353105710932 y[1] (numeric) = 0.08905353105710684 absolute error = 2.484124017598788e-15 relative error = 2.789472790254368e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.648000000000039 y[1] (closed_form) = 0.08900040441783974 y[1] (numeric) = 0.08900040441783724 absolute error = 2.498001805406602e-15 relative error = 2.806730847737461e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.647000000000039 y[1] (closed_form) = 0.08894732530500911 y[1] (numeric) = 0.08894732530500661 absolute error = 2.498001805406602e-15 relative error = 2.808405757947986e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.646000000000039 y[1] (closed_form) = 0.08889429366194561 y[1] (numeric) = 0.0888942936619431 absolute error = 2.511879593214417e-15 relative error = 2.825692729801977e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.645000000000039 y[1] (closed_form) = 0.0888413094320618 y[1] (numeric) = 0.08884130943205928 absolute error = 2.511879593214417e-15 relative error = 2.827377949821064e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.644000000000039 y[1] (closed_form) = 0.08878837255885456 y[1] (numeric) = 0.08878837255885205 absolute error = 2.511879593214417e-15 relative error = 2.829063672216071e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.643000000000039 y[1] (closed_form) = 0.08873548298590493 y[1] (numeric) = 0.08873548298590242 absolute error = 2.511879593214417e-15 relative error = 2.830749896986995e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.642000000000039 y[1] (closed_form) = 0.08868264065687795 y[1] (numeric) = 0.08868264065687542 absolute error = 2.525757381022231e-15 relative error = 2.84808544526165e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.64100000000004 y[1] (closed_form) = 0.08862984551552246 y[1] (numeric) = 0.08862984551551993 absolute error = 2.525757381022231e-15 relative error = 2.849781996494482e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.64000000000004 y[1] (closed_form) = 0.08857709750567103 y[1] (numeric) = 0.08857709750566849 absolute error = 2.539635168830046e-15 relative error = 2.867146520202301e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.63900000000004 y[1] (closed_form) = 0.08852439657123976 y[1] (numeric) = 0.08852439657123722 absolute error = 2.539635168830046e-15 relative error = 2.868853408999271e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.63800000000004 y[1] (closed_form) = 0.08847174265622816 y[1] (numeric) = 0.08847174265622561 absolute error = 2.55351295663786e-15 relative error = 2.886246930344714e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.63700000000004 y[1] (closed_form) = 0.08841913570471897 y[1] (numeric) = 0.08841913570471642 absolute error = 2.55351295663786e-15 relative error = 2.887964167808052e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.63600000000004 y[1] (closed_form) = 0.08836657566087806 y[1] (numeric) = 0.0883665756608755 absolute error = 2.567390744445674e-15 relative error = 2.90538670899558e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.63500000000004 y[1] (closed_form) = 0.08831406246895419 y[1] (numeric) = 0.08831406246895164 absolute error = 2.55351295663786e-15 relative error = 2.891400174842504e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.63400000000004 y[1] (closed_form) = 0.08826159607327901 y[1] (numeric) = 0.08826159607327645 absolute error = 2.55351295663786e-15 relative error = 2.893118944413617e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.63300000000004 y[1] (closed_form) = 0.08820917641826674 y[1] (numeric) = 0.08820917641826419 absolute error = 2.55351295663786e-15 relative error = 2.894838224687321e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.632000000000041 y[1] (closed_form) = 0.08815680344841417 y[1] (numeric) = 0.08815680344841161 absolute error = 2.567390744445674e-15 relative error = 2.912300178792223e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.631000000000041 y[1] (closed_form) = 0.08810447710830042 y[1] (numeric) = 0.08810447710829784 absolute error = 2.581268532253489e-15 relative error = 2.929781342531008e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.630000000000041 y[1] (closed_form) = 0.08805219734258682 y[1] (numeric) = 0.08805219734258424 absolute error = 2.581268532253489e-15 relative error = 2.931520859394894e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.629000000000041 y[1] (closed_form) = 0.08799996409601678 y[1] (numeric) = 0.0879999640960142 absolute error = 2.581268532253489e-15 relative error = 2.933260892512486e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.628000000000041 y[1] (closed_form) = 0.08794777731341565 y[1] (numeric) = 0.08794777731341306 absolute error = 2.581268532253489e-15 relative error = 2.935001441883784e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.627000000000041 y[1] (closed_form) = 0.08789563693969052 y[1] (numeric) = 0.08789563693968794 absolute error = 2.581268532253489e-15 relative error = 2.936742507508789e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.626000000000041 y[1] (closed_form) = 0.08784354291983015 y[1] (numeric) = 0.08784354291982756 absolute error = 2.595146320061303e-15 relative error = 2.954282390943347e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.625000000000041 y[1] (closed_form) = 0.08779149519890476 y[1] (numeric) = 0.08779149519890216 absolute error = 2.609024107869118e-15 relative error = 2.971841522869594e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.624000000000041 y[1] (closed_form) = 0.08773949372206589 y[1] (numeric) = 0.08773949372206329 absolute error = 2.609024107869118e-15 relative error = 2.973602875044817e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.623000000000042 y[1] (closed_form) = 0.08768753843454634 y[1] (numeric) = 0.08768753843454373 absolute error = 2.609024107869118e-15 relative error = 2.975364749024861e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.622000000000042 y[1] (closed_form) = 0.08763562928165992 y[1] (numeric) = 0.0876356292816573 absolute error = 2.622901895676932e-15 relative error = 2.992962927494884e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.621000000000042 y[1] (closed_form) = 0.08758376620880133 y[1] (numeric) = 0.08758376620879872 absolute error = 2.609024107869118e-15 relative error = 2.978890062399413e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.620000000000042 y[1] (closed_form) = 0.0875319491614461 y[1] (numeric) = 0.08753194916144347 absolute error = 2.636779683484747e-15 relative error = 3.012362581600239e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.619000000000042 y[1] (closed_form) = 0.08748017808515031 y[1] (numeric) = 0.08748017808514767 absolute error = 2.636779683484747e-15 relative error = 3.014145308344243e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.618000000000042 y[1] (closed_form) = 0.08742845292555056 y[1] (numeric) = 0.08742845292554792 absolute error = 2.636779683484747e-15 relative error = 3.015928562444184e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.617000000000042 y[1] (closed_form) = 0.08737677362836377 y[1] (numeric) = 0.08737677362836113 absolute error = 2.636779683484747e-15 relative error = 3.017712343900061e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.616000000000042 y[1] (closed_form) = 0.08732514013938708 y[1] (numeric) = 0.08732514013938443 absolute error = 2.650657471292561e-15 relative error = 3.035388740357727e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.615000000000042 y[1] (closed_form) = 0.08727355240449763 y[1] (numeric) = 0.087273552404495 absolute error = 2.636779683484747e-15 relative error = 3.021281488879626e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.614000000000043 y[1] (closed_form) = 0.08722201036965256 y[1] (numeric) = 0.0872220103696499 absolute error = 2.664535259100376e-15 relative error = 3.0548886087444e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.613000000000043 y[1] (closed_form) = 0.08717051398088867 y[1] (numeric) = 0.087170513980886 absolute error = 2.664535259100376e-15 relative error = 3.056693298475389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.612000000000043 y[1] (closed_form) = 0.08711906318432243 y[1] (numeric) = 0.08711906318431978 absolute error = 2.650657471292561e-15 relative error = 3.042568841315964e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.611000000000043 y[1] (closed_form) = 0.08706765792614984 y[1] (numeric) = 0.08706765792614718 absolute error = 2.664535259100376e-15 relative error = 3.060304276658521e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.610000000000043 y[1] (closed_form) = 0.08701629815264619 y[1] (numeric) = 0.08701629815264353 absolute error = 2.664535259100376e-15 relative error = 3.062110565110665e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.609000000000043 y[1] (closed_form) = 0.086964983810166 y[1] (numeric) = 0.08696498381016332 absolute error = 2.67841304690819e-15 relative error = 3.079875289524391e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.608000000000043 y[1] (closed_form) = 0.08691371484514283 y[1] (numeric) = 0.08691371484514016 absolute error = 2.67841304690819e-15 relative error = 3.081692057094109e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.607000000000043 y[1] (closed_form) = 0.08686249120408919 y[1] (numeric) = 0.08686249120408651 absolute error = 2.67841304690819e-15 relative error = 3.083509360346437e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.606000000000043 y[1] (closed_form) = 0.08681131283359639 y[1] (numeric) = 0.0868113128335937 absolute error = 2.692290834716005e-15 relative error = 3.101313350572986e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.605000000000044 y[1] (closed_form) = 0.08676017968033434 y[1] (numeric) = 0.08676017968033164 absolute error = 2.692290834716005e-15 relative error = 3.103141146820674e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.604000000000044 y[1] (closed_form) = 0.08670909169105148 y[1] (numeric) = 0.08670909169104879 absolute error = 2.692290834716005e-15 relative error = 3.10496948152653e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.603000000000044 y[1] (closed_form) = 0.08665804881257465 y[1] (numeric) = 0.08665804881257194 absolute error = 2.706168622523819e-15 relative error = 3.122812779199266e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.602000000000044 y[1] (closed_form) = 0.08660705099180886 y[1] (numeric) = 0.08660705099180614 absolute error = 2.720046410331634e-15 relative error = 3.1406754752438e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.601000000000044 y[1] (closed_form) = 0.08655609817573726 y[1] (numeric) = 0.08655609817573454 absolute error = 2.720046410331634e-15 relative error = 3.142524290788903e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.600000000000044 y[1] (closed_form) = 0.08650519031142091 y[1] (numeric) = 0.08650519031141821 absolute error = 2.706168622523819e-15 relative error = 3.128330927637454e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.599000000000044 y[1] (closed_form) = 0.08645432734599877 y[1] (numeric) = 0.08645432734599605 absolute error = 2.720046410331634e-15 relative error = 3.146223553906953e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.598000000000044 y[1] (closed_form) = 0.08640350922668738 y[1] (numeric) = 0.08640350922668466 absolute error = 2.720046410331634e-15 relative error = 3.148074001479902e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.597000000000044 y[1] (closed_form) = 0.08635273590078088 y[1] (numeric) = 0.08635273590077816 absolute error = 2.720046410331634e-15 relative error = 3.149924993062132e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.596000000000044 y[1] (closed_form) = 0.08630200731565081 y[1] (numeric) = 0.08630200731564808 absolute error = 2.733924198139448e-15 relative error = 3.167857021146776e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.595000000000045 y[1] (closed_form) = 0.08625132341874596 y[1] (numeric) = 0.08625132341874323 absolute error = 2.733924198139448e-15 relative error = 3.169718550133289e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.594000000000045 y[1] (closed_form) = 0.08620068415759229 y[1] (numeric) = 0.08620068415758954 absolute error = 2.747801985947262e-15 relative error = 3.187680019944766e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.593000000000045 y[1] (closed_form) = 0.0861500894797927 y[1] (numeric) = 0.08615008947978996 absolute error = 2.747801985947262e-15 relative error = 3.189552097437792e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.592000000000045 y[1] (closed_form) = 0.08609953933302701 y[1] (numeric) = 0.08609953933302426 absolute error = 2.747801985947262e-15 relative error = 3.191424724491215e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.591000000000045 y[1] (closed_form) = 0.08604903366505176 y[1] (numeric) = 0.086049033665049 absolute error = 2.761679773755077e-15 relative error = 3.209425668282333e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.590000000000045 y[1] (closed_form) = 0.08599857242370006 y[1] (numeric) = 0.08599857242369727 absolute error = 2.789435349370706e-15 relative error = 3.243583318601664e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.589000000000045 y[1] (closed_form) = 0.08594815555688144 y[1] (numeric) = 0.08594815555687865 absolute error = 2.789435349370706e-15 relative error = 3.24548599245347e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.588000000000045 y[1] (closed_form) = 0.08589778301258184 y[1] (numeric) = 0.08589778301257905 absolute error = 2.789435349370706e-15 relative error = 3.247389224192345e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.587000000000045 y[1] (closed_form) = 0.08584745473886335 y[1] (numeric) = 0.08584745473886055 absolute error = 2.80331313717852e-15 relative error = 3.265458650702959e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.586000000000046 y[1] (closed_form) = 0.0857971706838641 y[1] (numeric) = 0.08579717068386128 absolute error = 2.817190924986335e-15 relative error = 3.283547583832114e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.585000000000046 y[1] (closed_form) = 0.08574693079579812 y[1] (numeric) = 0.08574693079579532 absolute error = 2.80331313717852e-15 relative error = 3.269286855123089e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.584000000000046 y[1] (closed_form) = 0.08569673502295531 y[1] (numeric) = 0.0856967350229525 absolute error = 2.817190924986335e-15 relative error = 3.287395866635646e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.583000000000046 y[1] (closed_form) = 0.08564658331370116 y[1] (numeric) = 0.08564658331369833 absolute error = 2.831068712794149e-15 relative error = 3.305524404195647e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.582000000000046 y[1] (closed_form) = 0.08559647561647669 y[1] (numeric) = 0.08559647561647385 absolute error = 2.844946500601964e-15 relative error = 3.323672476129767e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.581000000000046 y[1] (closed_form) = 0.08554641187979831 y[1] (numeric) = 0.08554641187979548 absolute error = 2.831068712794149e-15 relative error = 3.30939504133978e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.580000000000046 y[1] (closed_form) = 0.08549639205225772 y[1] (numeric) = 0.08549639205225487 absolute error = 2.844946500601964e-15 relative error = 3.32756322496399e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.579000000000046 y[1] (closed_form) = 0.08544641608252168 y[1] (numeric) = 0.08544641608251884 absolute error = 2.844946500601964e-15 relative error = 3.329509452865052e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.578000000000046 y[1] (closed_form) = 0.08539648391933201 y[1] (numeric) = 0.08539648391932916 absolute error = 2.844946500601964e-15 relative error = 3.331456249755415e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.577000000000047 y[1] (closed_form) = 0.08534659551150538 y[1] (numeric) = 0.08534659551150252 absolute error = 2.858824288409778e-15 relative error = 3.349664121077198e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.576000000000047 y[1] (closed_form) = 0.08529675080793316 y[1] (numeric) = 0.08529675080793028 absolute error = 2.872702076217593e-15 relative error = 3.367891565630906e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.575000000000047 y[1] (closed_form) = 0.08524694975758131 y[1] (numeric) = 0.08524694975757845 absolute error = 2.858824288409778e-15 relative error = 3.353579566822604e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.574000000000047 y[1] (closed_form) = 0.08519719230949033 y[1] (numeric) = 0.08519719230948745 absolute error = 2.872702076217593e-15 relative error = 3.371827167475324e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.573000000000047 y[1] (closed_form) = 0.08514747841277501 y[1] (numeric) = 0.08514747841277212 absolute error = 2.886579864025407e-15 relative error = 3.390094360788871e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.572000000000047 y[1] (closed_form) = 0.08509780801662432 y[1] (numeric) = 0.08509780801662144 absolute error = 2.886579864025407e-15 relative error = 3.392073111285661e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.571000000000047 y[1] (closed_form) = 0.08504818107030138 y[1] (numeric) = 0.08504818107029849 absolute error = 2.886579864025407e-15 relative error = 3.394052439098423e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.570000000000047 y[1] (closed_form) = 0.0849985975231432 y[1] (numeric) = 0.08499859752314032 absolute error = 2.886579864025407e-15 relative error = 3.396032344227158e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.569000000000047 y[1] (closed_form) = 0.08494905732456066 y[1] (numeric) = 0.08494905732455776 absolute error = 2.900457651833221e-15 relative error = 3.414349426800095e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.568000000000048 y[1] (closed_form) = 0.08489956042403832 y[1] (numeric) = 0.08489956042403539 absolute error = 2.92821322744885e-15 relative error = 3.449032259794553e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.567000000000048 y[1] (closed_form) = 0.08485010677113421 y[1] (numeric) = 0.08485010677113129 absolute error = 2.914335439641036e-15 relative error = 3.434686826619864e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.566000000000048 y[1] (closed_form) = 0.08480069631547994 y[1] (numeric) = 0.08480069631547701 absolute error = 2.92821322744885e-15 relative error = 3.453053282198486e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.565000000000048 y[1] (closed_form) = 0.08475132900678035 y[1] (numeric) = 0.08475132900677741 absolute error = 2.942091015256665e-15 relative error = 3.471439385949085e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.564000000000048 y[1] (closed_form) = 0.08470200479481346 y[1] (numeric) = 0.08470200479481051 absolute error = 2.955968803064479e-15 relative error = 3.489845146198336e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.563000000000048 y[1] (closed_form) = 0.08465272362943033 y[1] (numeric) = 0.08465272362942738 absolute error = 2.942091015256665e-15 relative error = 3.475482995840454e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.562000000000048 y[1] (closed_form) = 0.08460348546055499 y[1] (numeric) = 0.08460348546055203 absolute error = 2.955968803064479e-15 relative error = 3.493909012108789e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.561000000000048 y[1] (closed_form) = 0.0845542902381842 y[1] (numeric) = 0.08455429023818124 absolute error = 2.955968803064479e-15 relative error = 3.495941831854656e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.560000000000048 y[1] (closed_form) = 0.08450513791238745 y[1] (numeric) = 0.08450513791238448 absolute error = 2.969846590872294e-15 relative error = 3.514397661774539e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.559000000000049 y[1] (closed_form) = 0.08445602843330674 y[1] (numeric) = 0.08445602843330376 absolute error = 2.983724378680108e-15 relative error = 3.532873181499763e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.558000000000049 y[1] (closed_form) = 0.08440696175115647 y[1] (numeric) = 0.08440696175115349 absolute error = 2.983724378680108e-15 relative error = 3.534926878989609e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.557000000000049 y[1] (closed_form) = 0.0843579378162234 y[1] (numeric) = 0.08435793781622039 absolute error = 3.011479954295737e-15 relative error = 3.569883323672927e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.556000000000049 y[1] (closed_form) = 0.08430895657886633 y[1] (numeric) = 0.08430895657886334 absolute error = 2.997602166487923e-15 relative error = 3.555496697060688e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.555000000000049 y[1] (closed_form) = 0.08426001798951624 y[1] (numeric) = 0.08426001798951323 absolute error = 3.011479954295737e-15 relative error = 3.574031938457965e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.554000000000049 y[1] (closed_form) = 0.08421112199867592 y[1] (numeric) = 0.08421112199867289 absolute error = 3.025357742103552e-15 relative error = 3.592586905742831e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.553000000000049 y[1] (closed_form) = 0.08416226855691997 y[1] (numeric) = 0.08416226855691694 absolute error = 3.025357742103552e-15 relative error = 3.594672284834463e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.552000000000049 y[1] (closed_form) = 0.08411345761489467 y[1] (numeric) = 0.08411345761489164 absolute error = 3.025357742103552e-15 relative error = 3.596758268997643e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.551000000000049 y[1] (closed_form) = 0.08406468912331783 y[1] (numeric) = 0.0840646891233148 absolute error = 3.025357742103552e-15 relative error = 3.598844858232372e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.55000000000005 y[1] (closed_form) = 0.08401596303297869 y[1] (numeric) = 0.08401596303297565 absolute error = 3.039235529911366e-15 relative error = 3.617450089476899e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.54900000000005 y[1] (closed_form) = 0.08396727929473773 y[1] (numeric) = 0.08396727929473469 absolute error = 3.039235529911366e-15 relative error = 3.619547465916091e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.54800000000005 y[1] (closed_form) = 0.08391863785952665 y[1] (numeric) = 0.08391863785952361 absolute error = 3.039235529911366e-15 relative error = 3.621645450202388e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.54700000000005 y[1] (closed_form) = 0.08387003867834815 y[1] (numeric) = 0.08387003867834511 absolute error = 3.039235529911366e-15 relative error = 3.623744042335793e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.54600000000005 y[1] (closed_form) = 0.08382148170227589 y[1] (numeric) = 0.08382148170227284 absolute error = 3.05311331771918e-15 relative error = 3.642399604153362e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.54500000000005 y[1] (closed_form) = 0.08377296688245429 y[1] (numeric) = 0.08377296688245123 absolute error = 3.066991105526995e-15 relative error = 3.661074950145232e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.54400000000005 y[1] (closed_form) = 0.08372449417009846 y[1] (numeric) = 0.08372449417009538 absolute error = 3.080868893334809e-15 relative error = 3.679770088638072e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.54300000000005 y[1] (closed_form) = 0.08367606351649402 y[1] (numeric) = 0.08367606351649094 absolute error = 3.080868893334809e-15 relative error = 3.681899893304035e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.54200000000005 y[1] (closed_form) = 0.08362767487299709 y[1] (numeric) = 0.083627674872994 absolute error = 3.094746681142624e-15 relative error = 3.700625045288566e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.541000000000051 y[1] (closed_form) = 0.08357932819103404 y[1] (numeric) = 0.08357932819103094 absolute error = 3.108624468950438e-15 relative error = 3.71937001197853e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.540000000000051 y[1] (closed_form) = 0.08353102342210142 y[1] (numeric) = 0.08353102342209831 absolute error = 3.108624468950438e-15 relative error = 3.721520869248597e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.539000000000051 y[1] (closed_form) = 0.08348276051776586 y[1] (numeric) = 0.08348276051776277 absolute error = 3.094746681142624e-15 relative error = 3.707048810974614e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.538000000000051 y[1] (closed_form) = 0.08343453942966397 y[1] (numeric) = 0.08343453942966085 absolute error = 3.122502256758253e-15 relative error = 3.742457593824856e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.537000000000051 y[1] (closed_form) = 0.08338636010950208 y[1] (numeric) = 0.08338636010949897 absolute error = 3.108624468950438e-15 relative error = 3.72797717140816e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.536000000000051 y[1] (closed_form) = 0.08333822250905633 y[1] (numeric) = 0.08333822250905321 absolute error = 3.122502256758253e-15 relative error = 3.746782883950917e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.535000000000051 y[1] (closed_form) = 0.08329012658017233 y[1] (numeric) = 0.08329012658016921 absolute error = 3.122502256758253e-15 relative error = 3.748946465764625e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.534000000000051 y[1] (closed_form) = 0.08324207227476524 y[1] (numeric) = 0.0832420722747621 absolute error = 3.136380044566067e-15 relative error = 3.7677822750658e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.533000000000051 y[1] (closed_form) = 0.08319405954481948 y[1] (numeric) = 0.08319405954481635 absolute error = 3.136380044566067e-15 relative error = 3.769956727350697e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.532000000000052 y[1] (closed_form) = 0.08314608834238875 y[1] (numeric) = 0.08314608834238561 absolute error = 3.136380044566067e-15 relative error = 3.772131806911604e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.531000000000052 y[1] (closed_form) = 0.0830981586195958 y[1] (numeric) = 0.08309815861959266 absolute error = 3.136380044566067e-15 relative error = 3.774307513748519e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.530000000000052 y[1] (closed_form) = 0.08305027032863239 y[1] (numeric) = 0.08305027032862924 absolute error = 3.150257832373882e-15 relative error = 3.793193953382954e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.529000000000052 y[1] (closed_form) = 0.08300242342175912 y[1] (numeric) = 0.08300242342175597 absolute error = 3.150257832373882e-15 relative error = 3.795380547344405e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.528000000000052 y[1] (closed_form) = 0.08295461785130534 y[1] (numeric) = 0.08295461785130218 absolute error = 3.164135620181696e-15 relative error = 3.814297144799524e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.527000000000052 y[1] (closed_form) = 0.082906853569669 y[1] (numeric) = 0.08290685356966583 absolute error = 3.164135620181696e-15 relative error = 3.81649463698774e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.526000000000052 y[1] (closed_form) = 0.08285913052931655 y[1] (numeric) = 0.08285913052931339 absolute error = 3.164135620181696e-15 relative error = 3.818692762003081e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.525000000000052 y[1] (closed_form) = 0.08281144868278288 y[1] (numeric) = 0.08281144868277972 absolute error = 3.164135620181696e-15 relative error = 3.820891519845545e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.524000000000052 y[1] (closed_form) = 0.08276380798267109 y[1] (numeric) = 0.08276380798266791 absolute error = 3.178013407989511e-15 relative error = 3.839858853105112e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.523000000000053 y[1] (closed_form) = 0.08271620838165245 y[1] (numeric) = 0.08271620838164925 absolute error = 3.191891195797325e-15 relative error = 3.858846117643527e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.522000000000053 y[1] (closed_form) = 0.08266864983246622 y[1] (numeric) = 0.08266864983246303 absolute error = 3.191891195797325e-15 relative error = 3.861066077970204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.521000000000053 y[1] (closed_form) = 0.08262113228791965 y[1] (numeric) = 0.08262113228791644 absolute error = 3.20576898360514e-15 relative error = 3.880083575269359e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.520000000000053 y[1] (closed_form) = 0.0825736557008877 y[1] (numeric) = 0.0825736557008845 absolute error = 3.20576898360514e-15 relative error = 3.88231446990505e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.519000000000053 y[1] (closed_form) = 0.08252622002431309 y[1] (numeric) = 0.08252622002430988 absolute error = 3.20576898360514e-15 relative error = 3.884546005694537e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.518000000000053 y[1] (closed_form) = 0.08247882521120604 y[1] (numeric) = 0.08247882521120284 absolute error = 3.20576898360514e-15 relative error = 3.886778182637822e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.517000000000053 y[1] (closed_form) = 0.08243147121464427 y[1] (numeric) = 0.08243147121464105 absolute error = 3.219646771412954e-15 relative error = 3.905846546192629e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.516000000000053 y[1] (closed_form) = 0.08238415798777277 y[1] (numeric) = 0.08238415798776955 absolute error = 3.219646771412954e-15 relative error = 3.908089674098271e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.515000000000053 y[1] (closed_form) = 0.08233688548380377 y[1] (numeric) = 0.08233688548380055 absolute error = 3.219646771412954e-15 relative error = 3.910333445933269e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.514000000000054 y[1] (closed_form) = 0.08228965365601663 y[1] (numeric) = 0.08228965365601341 absolute error = 3.219646771412954e-15 relative error = 3.912577861697621e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.513000000000054 y[1] (closed_form) = 0.08224246245775765 y[1] (numeric) = 0.08224246245775443 absolute error = 3.219646771412954e-15 relative error = 3.914822921391327e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.512000000000054 y[1] (closed_form) = 0.08219531184244004 y[1] (numeric) = 0.08219531184243681 absolute error = 3.233524559220768e-15 relative error = 3.933952541501518e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.511000000000054 y[1] (closed_form) = 0.0821482017635437 y[1] (numeric) = 0.08214820176354047 absolute error = 3.233524559220768e-15 relative error = 3.936208571586486e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.510000000000054 y[1] (closed_form) = 0.08210113217461522 y[1] (numeric) = 0.08210113217461198 absolute error = 3.233524559220768e-15 relative error = 3.938465248376366e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.509000000000054 y[1] (closed_form) = 0.08205410302926772 y[1] (numeric) = 0.08205410302926447 absolute error = 3.247402347028583e-15 relative error = 3.957635544282622e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.508000000000054 y[1] (closed_form) = 0.08200711428118065 y[1] (numeric) = 0.08200711428117742 absolute error = 3.233524559220768e-15 relative error = 3.942980542070862e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.507000000000054 y[1] (closed_form) = 0.08196016588409989 y[1] (numeric) = 0.08196016588409664 absolute error = 3.247402347028583e-15 relative error = 3.962171515880951e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.506000000000054 y[1] (closed_form) = 0.08191325779183738 y[1] (numeric) = 0.08191325779183412 absolute error = 3.261280134836397e-15 relative error = 3.981382529216635e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.505000000000055 y[1] (closed_form) = 0.08186638995827117 y[1] (numeric) = 0.08186638995826789 absolute error = 3.275157922644212e-15 relative error = 4.000613590404586e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.504000000000055 y[1] (closed_form) = 0.08181956233734526 y[1] (numeric) = 0.081819562337342 absolute error = 3.261280134836397e-15 relative error = 3.985941798845136e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.503000000000055 y[1] (closed_form) = 0.08177277488306954 y[1] (numeric) = 0.08177277488306627 absolute error = 3.275157922644212e-15 relative error = 4.005193571243612e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.502000000000055 y[1] (closed_form) = 0.08172602754951955 y[1] (numeric) = 0.08172602754951627 absolute error = 3.275157922644212e-15 relative error = 4.007484544210501e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.501000000000055 y[1] (closed_form) = 0.08167932029083649 y[1] (numeric) = 0.0816793202908332 absolute error = 3.289035710452026e-15 relative error = 4.02676674920986e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.500000000000055 y[1] (closed_form) = 0.08163265306122705 y[1] (numeric) = 0.08163265306122378 absolute error = 3.275157922644212e-15 relative error = 4.012068455239033e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.499000000000055 y[1] (closed_form) = 0.08158602581496335 y[1] (numeric) = 0.08158602581496005 absolute error = 3.302913498259841e-15 relative error = 4.048381405108308e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.498000000000055 y[1] (closed_form) = 0.08153943850638272 y[1] (numeric) = 0.08153943850637942 absolute error = 3.302913498259841e-15 relative error = 4.050694435431139e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.497000000000055 y[1] (closed_form) = 0.08149289108988768 y[1] (numeric) = 0.08149289108988439 absolute error = 3.289035710452026e-15 relative error = 4.035978680427693e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.496000000000056 y[1] (closed_form) = 0.08144638351994586 y[1] (numeric) = 0.08144638351994256 absolute error = 3.302913498259841e-15 relative error = 4.055322477824901e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.495000000000056 y[1] (closed_form) = 0.08139991575108978 y[1] (numeric) = 0.08139991575108646 absolute error = 3.316791286067655e-15 relative error = 4.074686386912201e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.494000000000056 y[1] (closed_form) = 0.0813534877379168 y[1] (numeric) = 0.08135348773791347 absolute error = 3.33066907387547e-15 relative error = 4.094070416016262e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.493000000000056 y[1] (closed_form) = 0.081307099435089 y[1] (numeric) = 0.08130709943508567 absolute error = 3.33066907387547e-15 relative error = 4.096406214237771e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.492000000000056 y[1] (closed_form) = 0.08126075079733308 y[1] (numeric) = 0.08126075079732975 absolute error = 3.33066907387547e-15 relative error = 4.098742678593095e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.491000000000056 y[1] (closed_form) = 0.08121444177944025 y[1] (numeric) = 0.08121444177943692 absolute error = 3.33066907387547e-15 relative error = 4.101079809082234e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.490000000000056 y[1] (closed_form) = 0.0811681723362661 y[1] (numeric) = 0.08116817233626276 absolute error = 3.33066907387547e-15 relative error = 4.103417605705186e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.489000000000056 y[1] (closed_form) = 0.08112194242273051 y[1] (numeric) = 0.08112194242272716 absolute error = 3.344546861683284e-15 relative error = 4.122863385413878e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.488000000000056 y[1] (closed_form) = 0.08107575199381749 y[1] (numeric) = 0.08107575199381414 absolute error = 3.344546861683284e-15 relative error = 4.125212260674839e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.487000000000056 y[1] (closed_form) = 0.08102960100457518 y[1] (numeric) = 0.08102960100457184 absolute error = 3.344546861683284e-15 relative error = 4.127561804845171e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.486000000000057 y[1] (closed_form) = 0.08098348941011564 y[1] (numeric) = 0.08098348941011227 absolute error = 3.372302437298913e-15 relative error = 4.164185146704335e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.485000000000057 y[1] (closed_form) = 0.08093741716561473 y[1] (numeric) = 0.08093741716561137 absolute error = 3.358424649491099e-15 relative error = 4.149409219000732e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.484000000000057 y[1] (closed_form) = 0.08089138422631212 y[1] (numeric) = 0.08089138422630875 absolute error = 3.372302437298913e-15 relative error = 4.168926603931176e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.483000000000057 y[1] (closed_form) = 0.08084539054751104 y[1] (numeric) = 0.08084539054750767 absolute error = 3.372302437298913e-15 relative error = 4.171298344235329e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.482000000000057 y[1] (closed_form) = 0.0807994360845783 y[1] (numeric) = 0.08079943608457492 absolute error = 3.386180225106727e-15 relative error = 4.190846358831243e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.481000000000057 y[1] (closed_form) = 0.08075352079294405 y[1] (numeric) = 0.08075352079294067 absolute error = 3.386180225106727e-15 relative error = 4.193229213855651e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.480000000000057 y[1] (closed_form) = 0.0807076446281018 y[1] (numeric) = 0.0807076446280984 absolute error = 3.400058012914542e-15 relative error = 4.212807880321497e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.479000000000057 y[1] (closed_form) = 0.08066180754560821 y[1] (numeric) = 0.08066180754560481 absolute error = 3.400058012914542e-15 relative error = 4.215201861168389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.478000000000057 y[1] (closed_form) = 0.08061600950108305 y[1] (numeric) = 0.08061600950107965 absolute error = 3.400058012914542e-15 relative error = 4.217596522026885e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.477000000000058 y[1] (closed_form) = 0.08057025045020905 y[1] (numeric) = 0.08057025045020565 absolute error = 3.400058012914542e-15 relative error = 4.219991862896984e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.476000000000058 y[1] (closed_form) = 0.08052453034873183 y[1] (numeric) = 0.08052453034872842 absolute error = 3.413935800722356e-15 relative error = 4.239622120039005e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.475000000000058 y[1] (closed_form) = 0.08047884915245976 y[1] (numeric) = 0.08047884915245634 absolute error = 3.413935800722356e-15 relative error = 4.242028603384934e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.474000000000058 y[1] (closed_form) = 0.08043320681726386 y[1] (numeric) = 0.08043320681726045 absolute error = 3.413935800722356e-15 relative error = 4.244435769518023e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.473000000000058 y[1] (closed_form) = 0.08038760329907774 y[1] (numeric) = 0.08038760329907431 absolute error = 3.427813588530171e-15 relative error = 4.264107210383143e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.472000000000058 y[1] (closed_form) = 0.08034203855389738 y[1] (numeric) = 0.08034203855389395 absolute error = 3.427813588530171e-15 relative error = 4.266525532869851e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.471000000000058 y[1] (closed_form) = 0.08029651253778115 y[1] (numeric) = 0.08029651253777773 absolute error = 3.427813588530171e-15 relative error = 4.268944540919277e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.470000000000058 y[1] (closed_form) = 0.08025102520684967 y[1] (numeric) = 0.08025102520684624 absolute error = 3.427813588530171e-15 relative error = 4.27136423453142e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.469000000000058 y[1] (closed_form) = 0.08020557651728563 y[1] (numeric) = 0.08020557651728219 absolute error = 3.441691376337985e-15 relative error = 4.29108738542169e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.468000000000059 y[1] (closed_form) = 0.08016016642533377 y[1] (numeric) = 0.08016016642533033 absolute error = 3.441691376337985e-15 relative error = 4.293518252040798e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.467000000000059 y[1] (closed_form) = 0.08011479488730078 y[1] (numeric) = 0.08011479488729732 absolute error = 3.4555691641458e-15 relative error = 4.313272185252204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.466000000000059 y[1] (closed_form) = 0.08006946185955507 y[1] (numeric) = 0.0800694618595516 absolute error = 3.469446951953614e-15 relative error = 4.333046421667174e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.465000000000059 y[1] (closed_form) = 0.08002416729852682 y[1] (numeric) = 0.08002416729852335 absolute error = 3.469446951953614e-15 relative error = 4.335498973717511e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.464000000000059 y[1] (closed_form) = 0.07997891116070781 y[1] (numeric) = 0.07997891116070434 absolute error = 3.469446951953614e-15 relative error = 4.337952219657237e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.463000000000059 y[1] (closed_form) = 0.07993369340265132 y[1] (numeric) = 0.07993369340264783 absolute error = 3.483324739761429e-15 relative error = 4.357767784124298e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.462000000000059 y[1] (closed_form) = 0.07988851398097195 y[1] (numeric) = 0.07988851398096847 absolute error = 3.483324739761429e-15 relative error = 4.360232236377679e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.461000000000059 y[1] (closed_form) = 0.0798433728523457 y[1] (numeric) = 0.07984337285234221 absolute error = 3.497202527569243e-15 relative error = 4.380078649779259e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.460000000000059 y[1] (closed_form) = 0.07979826997350965 y[1] (numeric) = 0.07979826997350617 absolute error = 3.483324739761429e-15 relative error = 4.365163230879285e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.45900000000006 y[1] (closed_form) = 0.07975320530126204 y[1] (numeric) = 0.07975320530125855 absolute error = 3.483324739761429e-15 relative error = 4.367629773127511e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.45800000000006 y[1] (closed_form) = 0.07970817879246204 y[1] (numeric) = 0.07970817879245855 absolute error = 3.497202527569243e-15 relative error = 4.387507757108573e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.45700000000006 y[1] (closed_form) = 0.07966319040402969 y[1] (numeric) = 0.0796631904040262 absolute error = 3.497202527569243e-15 relative error = 4.389985525099356e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.45600000000006 y[1] (closed_form) = 0.07961824009294585 y[1] (numeric) = 0.07961824009294234 absolute error = 3.511080315377058e-15 relative error = 4.409894405199416e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.45500000000006 y[1] (closed_form) = 0.07957332781625197 y[1] (numeric) = 0.07957332781624846 absolute error = 3.511080315377058e-15 relative error = 4.412383410034987e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.45400000000006 y[1] (closed_form) = 0.07952845353105012 y[1] (numeric) = 0.07952845353104661 absolute error = 3.511080315377058e-15 relative error = 4.414873117086621e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.45300000000006 y[1] (closed_form) = 0.07948361719450285 y[1] (numeric) = 0.07948361719449933 absolute error = 3.524958103184872e-15 relative error = 4.434823461241093e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.45200000000006 y[1] (closed_form) = 0.07943881876383301 y[1] (numeric) = 0.07943881876382948 absolute error = 3.524958103184872e-15 relative error = 4.437324419015303e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.45100000000006 y[1] (closed_form) = 0.07939405819632372 y[1] (numeric) = 0.0793940581963202 absolute error = 3.524958103184872e-15 relative error = 4.439826081781133e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.450000000000061 y[1] (closed_form) = 0.07934933544931831 y[1] (numeric) = 0.07934933544931479 absolute error = 3.524958103184872e-15 relative error = 4.442328449538584e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.449000000000061 y[1] (closed_form) = 0.07930465048022013 y[1] (numeric) = 0.07930465048021659 absolute error = 3.538835890992686e-15 relative error = 4.462330858989574e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.448000000000061 y[1] (closed_form) = 0.07926000324649245 y[1] (numeric) = 0.07926000324648891 absolute error = 3.538835890992686e-15 relative error = 4.464844494122946e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.447000000000061 y[1] (closed_form) = 0.07921539370565843 y[1] (numeric) = 0.07921539370565489 absolute error = 3.538835890992686e-15 relative error = 4.467358837023497e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.446000000000061 y[1] (closed_form) = 0.079170821815301 y[1] (numeric) = 0.07917082181529744 absolute error = 3.552713678800501e-15 relative error = 4.487402804897856e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.445000000000061 y[1] (closed_form) = 0.07912628753306267 y[1] (numeric) = 0.07912628753305911 absolute error = 3.552713678800501e-15 relative error = 4.489928429052116e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.444000000000061 y[1] (closed_form) = 0.07908179081664558 y[1] (numeric) = 0.07908179081664202 absolute error = 3.566591466608315e-15 relative error = 4.510003415170005e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.443000000000061 y[1] (closed_form) = 0.07903733162381127 y[1] (numeric) = 0.0790373316238077 absolute error = 3.566591466608315e-15 relative error = 4.512540331680203e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.442000000000061 y[1] (closed_form) = 0.07899290991238063 y[1] (numeric) = 0.07899290991237706 absolute error = 3.566591466608315e-15 relative error = 4.515077961508695e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.441000000000062 y[1] (closed_form) = 0.07894852564023382 y[1] (numeric) = 0.07894852564023025 absolute error = 3.566591466608315e-15 relative error = 4.517616304655481e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.440000000000062 y[1] (closed_form) = 0.07890417876531014 y[1] (numeric) = 0.07890417876530656 absolute error = 3.58046925441613e-15 relative error = 4.53774351427667e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.439000000000062 y[1] (closed_form) = 0.07885986924560794 y[1] (numeric) = 0.07885986924560434 absolute error = 3.594347042223944e-15 relative error = 4.557891201961547e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.438000000000062 y[1] (closed_form) = 0.0788155970391845 y[1] (numeric) = 0.0788155970391809 absolute error = 3.608224830031759e-15 relative error = 4.578059376036787e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.437000000000062 y[1] (closed_form) = 0.07877136210415597 y[1] (numeric) = 0.07877136210415236 absolute error = 3.608224830031759e-15 relative error = 4.580630236228185e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.436000000000062 y[1] (closed_form) = 0.07872716439869726 y[1] (numeric) = 0.07872716439869365 absolute error = 3.608224830031759e-15 relative error = 4.583201818064549e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.435000000000062 y[1] (closed_form) = 0.07868300388104191 y[1] (numeric) = 0.0786830038810383 absolute error = 3.608224830031759e-15 relative error = 4.585774121545878e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.434000000000062 y[1] (closed_form) = 0.07863888050948203 y[1] (numeric) = 0.07863888050947841 absolute error = 3.622102617839573e-15 relative error = 4.605994635697835e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.433000000000062 y[1] (closed_form) = 0.07859479424236819 y[1] (numeric) = 0.07859479424236455 absolute error = 3.635980405647388e-15 relative error = 4.626235669546845e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.432000000000063 y[1] (closed_form) = 0.0785507450381093 y[1] (numeric) = 0.07855074503810565 absolute error = 3.649858193455202e-15 relative error = 4.64649723141958e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.431000000000063 y[1] (closed_form) = 0.07850673285517251 y[1] (numeric) = 0.07850673285516886 absolute error = 3.649858193455202e-15 relative error = 4.64910213521225e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.430000000000063 y[1] (closed_form) = 0.0784627576520832 y[1] (numeric) = 0.07846275765207954 absolute error = 3.663735981263017e-15 relative error = 4.669394870759738e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.429000000000063 y[1] (closed_form) = 0.07841881938742475 y[1] (numeric) = 0.07841881938742108 absolute error = 3.663735981263017e-15 relative error = 4.672011144623957e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.428000000000063 y[1] (closed_form) = 0.07837491801983851 y[1] (numeric) = 0.07837491801983484 absolute error = 3.663735981263017e-15 relative error = 4.674628151235374e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.427000000000063 y[1] (closed_form) = 0.07833105350802375 y[1] (numeric) = 0.07833105350802007 absolute error = 3.677613769070831e-15 relative error = 4.69496273108866e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.426000000000063 y[1] (closed_form) = 0.07828722581073745 y[1] (numeric) = 0.07828722581073376 absolute error = 3.691491556878645e-15 relative error = 4.715317880599035e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.425000000000063 y[1] (closed_form) = 0.07824343488679431 y[1] (numeric) = 0.0782434348867906 absolute error = 3.70536934468646e-15 relative error = 4.735693608093171e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.424000000000063 y[1] (closed_form) = 0.07819968069506655 y[1] (numeric) = 0.07819968069506285 absolute error = 3.70536934468646e-15 relative error = 4.738343317711556e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.423000000000064 y[1] (closed_form) = 0.07815596319448397 y[1] (numeric) = 0.07815596319448025 absolute error = 3.719247132494274e-15 relative error = 4.758750299371614e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.422000000000064 y[1] (closed_form) = 0.07811228234403364 y[1] (numeric) = 0.07811228234402992 absolute error = 3.719247132494274e-15 relative error = 4.761411420694914e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.421000000000064 y[1] (closed_form) = 0.07806863810276 y[1] (numeric) = 0.07806863810275627 absolute error = 3.733124920302089e-15 relative error = 4.781849678725354e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.420000000000064 y[1] (closed_form) = 0.07802503042976465 y[1] (numeric) = 0.07802503042976092 absolute error = 3.733124920302089e-15 relative error = 4.784522222855798e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.419000000000064 y[1] (closed_form) = 0.07798145928420629 y[1] (numeric) = 0.07798145928420255 absolute error = 3.733124920302089e-15 relative error = 4.787195513611227e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.418000000000064 y[1] (closed_form) = 0.07793792462530062 y[1] (numeric) = 0.07793792462529689 absolute error = 3.733124920302089e-15 relative error = 4.789869550991639e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.417000000000064 y[1] (closed_form) = 0.07789442641232028 y[1] (numeric) = 0.07789442641231653 absolute error = 3.747002708109903e-15 relative error = 4.810360484941261e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.416000000000064 y[1] (closed_form) = 0.07785096460459463 y[1] (numeric) = 0.07785096460459089 absolute error = 3.747002708109903e-15 relative error = 4.813045961782163e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.415000000000064 y[1] (closed_form) = 0.07780753916150984 y[1] (numeric) = 0.0778075391615061 absolute error = 3.747002708109903e-15 relative error = 4.815732188023608e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.414000000000065 y[1] (closed_form) = 0.07776415004250868 y[1] (numeric) = 0.07776415004250492 absolute error = 3.760880495917718e-15 relative error = 4.836265160568057e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.413000000000065 y[1] (closed_form) = 0.07772079720709041 y[1] (numeric) = 0.07772079720708665 absolute error = 3.760880495917718e-15 relative error = 4.838962840147779e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.412000000000065 y[1] (closed_form) = 0.07767748061481075 y[1] (numeric) = 0.07767748061480698 absolute error = 3.774758283725532e-15 relative error = 4.859527180656011e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.411000000000065 y[1] (closed_form) = 0.07763420022528174 y[1] (numeric) = 0.07763420022527796 absolute error = 3.774758283725532e-15 relative error = 4.86223632467624e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.410000000000065 y[1] (closed_form) = 0.07759095599817167 y[1] (numeric) = 0.0775909559981679 absolute error = 3.774758283725532e-15 relative error = 4.864946223648126e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.409000000000065 y[1] (closed_form) = 0.07754774789320498 y[1] (numeric) = 0.07754774789320122 absolute error = 3.760880495917718e-15 relative error = 4.849761080227657e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.408000000000065 y[1] (closed_form) = 0.07750457587016218 y[1] (numeric) = 0.07750457587015842 absolute error = 3.760880495917718e-15 relative error = 4.852462520687874e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.407000000000065 y[1] (closed_form) = 0.07746143988887973 y[1] (numeric) = 0.07746143988887597 absolute error = 3.760880495917718e-15 relative error = 4.855164713324191e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.406000000000065 y[1] (closed_form) = 0.07741833990924996 y[1] (numeric) = 0.07741833990924617 absolute error = 3.788636071533347e-15 relative error = 4.893719079967872e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.405000000000066 y[1] (closed_form) = 0.07737527589122092 y[1] (numeric) = 0.07737527589121714 absolute error = 3.788636071533347e-15 relative error = 4.896442730439698e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.404000000000066 y[1] (closed_form) = 0.07733224779479644 y[1] (numeric) = 0.07733224779479266 absolute error = 3.788636071533347e-15 relative error = 4.899167138638737e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.403000000000066 y[1] (closed_form) = 0.0772892555800359 y[1] (numeric) = 0.07728925558003209 absolute error = 3.802513859341161e-15 relative error = 4.919847954032261e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.402000000000066 y[1] (closed_form) = 0.07724629920705411 y[1] (numeric) = 0.07724629920705031 absolute error = 3.802513859341161e-15 relative error = 4.922583862754058e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.401000000000066 y[1] (closed_form) = 0.07720337863602139 y[1] (numeric) = 0.07720337863601759 absolute error = 3.802513859341161e-15 relative error = 4.925320531978625e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.400000000000066 y[1] (closed_form) = 0.07716049382716333 y[1] (numeric) = 0.0771604938271595 absolute error = 3.83026943495679e-15 relative error = 4.964029187703817e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.399000000000066 y[1] (closed_form) = 0.07711764474076069 y[1] (numeric) = 0.07711764474075686 absolute error = 3.83026943495679e-15 relative error = 4.96678736472393e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.398000000000066 y[1] (closed_form) = 0.07707483133714942 y[1] (numeric) = 0.07707483133714559 absolute error = 3.83026943495679e-15 relative error = 4.969546307797929e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.397000000000066 y[1] (closed_form) = 0.07703205357672049 y[1] (numeric) = 0.07703205357671665 absolute error = 3.844147222764605e-15 relative error = 4.990321618436415e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.396000000000067 y[1] (closed_form) = 0.0769893114199198 y[1] (numeric) = 0.07698931141991595 absolute error = 3.844147222764605e-15 relative error = 4.993092095339862e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.395000000000067 y[1] (closed_form) = 0.07694660482724811 y[1] (numeric) = 0.07694660482724426 absolute error = 3.844147222764605e-15 relative error = 4.995863341072752e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.394000000000067 y[1] (closed_form) = 0.07690393375926093 y[1] (numeric) = 0.07690393375925708 absolute error = 3.844147222764605e-15 relative error = 4.998635355635087e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.393000000000067 y[1] (closed_form) = 0.07686129817656848 y[1] (numeric) = 0.07686129817656462 absolute error = 3.858025010572419e-15 relative error = 5.019463764077506e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.392000000000067 y[1] (closed_form) = 0.0768186980398355 y[1] (numeric) = 0.07681869803983164 absolute error = 3.858025010572419e-15 relative error = 5.022247329122633e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.391000000000067 y[1] (closed_form) = 0.07677613330978128 y[1] (numeric) = 0.07677613330977741 absolute error = 3.871902798380233e-15 relative error = 5.043107319246765e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.390000000000067 y[1] (closed_form) = 0.07673360394717946 y[1] (numeric) = 0.07673360394717557 absolute error = 3.885780586188048e-15 relative error = 5.063988117725937e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.389000000000067 y[1] (closed_form) = 0.07669110991285798 y[1] (numeric) = 0.07669110991285411 absolute error = 3.871902798380233e-15 relative error = 5.048698346887627e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.388000000000067 y[1] (closed_form) = 0.07664865116769908 y[1] (numeric) = 0.07664865116769519 absolute error = 3.885780586188048e-15 relative error = 5.069600739204626e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.387000000000068 y[1] (closed_form) = 0.07660622767263901 y[1] (numeric) = 0.07660622767263513 absolute error = 3.885780586188048e-15 relative error = 5.072408215678148e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.386000000000068 y[1] (closed_form) = 0.07656383938866818 y[1] (numeric) = 0.07656383938866428 absolute error = 3.899658373995862e-15 relative error = 5.093342242412455e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.385000000000068 y[1] (closed_form) = 0.07652148627683082 y[1] (numeric) = 0.07652148627682692 absolute error = 3.899658373995862e-15 relative error = 5.096161305451017e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.384000000000068 y[1] (closed_form) = 0.07647916829822513 y[1] (numeric) = 0.07647916829822123 absolute error = 3.899658373995862e-15 relative error = 5.098981148421253e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.383000000000068 y[1] (closed_form) = 0.07643688541400301 y[1] (numeric) = 0.07643688541399909 absolute error = 3.913536161803677e-15 relative error = 5.119957649512926e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.382000000000068 y[1] (closed_form) = 0.07639463758537006 y[1] (numeric) = 0.07639463758536615 absolute error = 3.913536161803677e-15 relative error = 5.12278909292599e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.381000000000068 y[1] (closed_form) = 0.07635242477358549 y[1] (numeric) = 0.07635242477358156 absolute error = 3.927413949611491e-15 relative error = 5.143797281170565e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.380000000000068 y[1] (closed_form) = 0.07631024693996198 y[1] (numeric) = 0.07631024693995804 absolute error = 3.941291737419306e-15 relative error = 5.16482634438356e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.379000000000068 y[1] (closed_form) = 0.07626810404586563 y[1] (numeric) = 0.07626810404586169 absolute error = 3.941291737419306e-15 relative error = 5.167680233730625e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.378000000000069 y[1] (closed_form) = 0.07622599605271591 y[1] (numeric) = 0.07622599605271195 absolute error = 3.95516952522712e-15 relative error = 5.18874102017877e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.377000000000069 y[1] (closed_form) = 0.07618392292198545 y[1] (numeric) = 0.07618392292198149 absolute error = 3.95516952522712e-15 relative error = 5.191606540499796e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.376000000000069 y[1] (closed_form) = 0.07614188461520008 y[1] (numeric) = 0.07614188461519612 absolute error = 3.95516952522712e-15 relative error = 5.194472851854729e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.375000000000069 y[1] (closed_form) = 0.07609988109393867 y[1] (numeric) = 0.07609988109393473 absolute error = 3.941291737419306e-15 relative error = 5.17910367370236e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.374000000000069 y[1] (closed_form) = 0.07605791231983311 y[1] (numeric) = 0.07605791231982915 absolute error = 3.95516952522712e-15 relative error = 5.200207847666307e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.373000000000069 y[1] (closed_form) = 0.0760159782545681 y[1] (numeric) = 0.07601597825456413 absolute error = 3.969047313034935e-15 relative error = 5.221332941007596e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.372000000000069 y[1] (closed_form) = 0.07597407885988117 y[1] (numeric) = 0.0759740788598772 absolute error = 3.969047313034935e-15 relative error = 5.224212484833203e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.371000000000069 y[1] (closed_form) = 0.07593221409756258 y[1] (numeric) = 0.07593221409755861 absolute error = 3.969047313034935e-15 relative error = 5.227092822468271e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.370000000000069 y[1] (closed_form) = 0.0758903839294552 y[1] (numeric) = 0.07589038392945123 absolute error = 3.969047313034935e-15 relative error = 5.229973953912803e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.369000000000069 y[1] (closed_form) = 0.07584858831745442 y[1] (numeric) = 0.07584858831745045 absolute error = 3.969047313034935e-15 relative error = 5.232855879166798e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.36800000000007 y[1] (closed_form) = 0.07580682722350812 y[1] (numeric) = 0.07580682722350414 absolute error = 3.982925100842749e-15 relative error = 5.254045376545744e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.36700000000007 y[1] (closed_form) = 0.07576510060961647 y[1] (numeric) = 0.0757651006096125 absolute error = 3.969047313034935e-15 relative error = 5.238622111103175e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.36600000000007 y[1] (closed_form) = 0.07572340843783203 y[1] (numeric) = 0.07572340843782803 absolute error = 3.996802888650564e-15 relative error = 5.278160308819021e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.36500000000007 y[1] (closed_form) = 0.07568175067025942 y[1] (numeric) = 0.07568175067025541 absolute error = 4.010680676458378e-15 relative error = 5.299402618119471e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.36400000000007 y[1] (closed_form) = 0.07564012726905545 y[1] (numeric) = 0.07564012726905145 absolute error = 3.996802888650564e-15 relative error = 5.283971660219119e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.36300000000007 y[1] (closed_form) = 0.07559853819642894 y[1] (numeric) = 0.07559853819642492 absolute error = 4.010680676458378e-15 relative error = 5.305235752095312e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.36200000000007 y[1] (closed_form) = 0.07555698341464059 y[1] (numeric) = 0.07555698341463658 absolute error = 4.010680676458378e-15 relative error = 5.308153522287435e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.36100000000007 y[1] (closed_form) = 0.07551546288600304 y[1] (numeric) = 0.07551546288599902 absolute error = 4.024558464266192e-15 relative error = 5.329449506707789e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.36000000000007 y[1] (closed_form) = 0.07547397657288059 y[1] (numeric) = 0.07547397657287656 absolute error = 4.024558464266192e-15 relative error = 5.332378982813929e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.359000000000071 y[1] (closed_form) = 0.07543252443768927 y[1] (numeric) = 0.07543252443768525 absolute error = 4.024558464266192e-15 relative error = 5.335309263831761e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.358000000000071 y[1] (closed_form) = 0.07539110644289673 y[1] (numeric) = 0.07539110644289268 absolute error = 4.052314039881821e-15 relative error = 5.375055800449293e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.357000000000071 y[1] (closed_form) = 0.07534972255102204 y[1] (numeric) = 0.07534972255101799 absolute error = 4.052314039881821e-15 relative error = 5.378007911227346e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.356000000000071 y[1] (closed_form) = 0.07530837272463577 y[1] (numeric) = 0.0753083727246317 absolute error = 4.066191827689636e-15 relative error = 5.399388780524606e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.355000000000071 y[1] (closed_form) = 0.07526705692635977 y[1] (numeric) = 0.0752670569263557 absolute error = 4.066191827689636e-15 relative error = 5.402352627747809e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.354000000000071 y[1] (closed_form) = 0.07522577511886719 y[1] (numeric) = 0.07522577511886311 absolute error = 4.08006961549745e-15 relative error = 5.423765470080398e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.353000000000071 y[1] (closed_form) = 0.07518452726488233 y[1] (numeric) = 0.07518452726487823 absolute error = 4.093947403305265e-15 relative error = 5.44519936779265e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.352000000000071 y[1] (closed_form) = 0.07514331332718054 y[1] (numeric) = 0.07514331332717644 absolute error = 4.093947403305265e-15 relative error = 5.448185902423361e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.351000000000071 y[1] (closed_form) = 0.07510213326858822 y[1] (numeric) = 0.07510213326858413 absolute error = 4.093947403305265e-15 relative error = 5.451173255843553e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.350000000000072 y[1] (closed_form) = 0.07506098705198268 y[1] (numeric) = 0.07506098705197858 absolute error = 4.093947403305265e-15 relative error = 5.454161428053225e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.349000000000072 y[1] (closed_form) = 0.07501987464029203 y[1] (numeric) = 0.07501987464028792 absolute error = 4.107825191113079e-15 relative error = 5.475649234032216e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.348000000000072 y[1] (closed_form) = 0.07497879599649515 y[1] (numeric) = 0.07497879599649103 absolute error = 4.121702978920894e-15 relative error = 5.49715812869756e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.347000000000072 y[1] (closed_form) = 0.07493775108362156 y[1] (numeric) = 0.07493775108361744 absolute error = 4.121702978920894e-15 relative error = 5.500169032723662e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.346000000000072 y[1] (closed_form) = 0.07489673986475143 y[1] (numeric) = 0.07489673986474729 absolute error = 4.135580766728708e-15 relative error = 5.521709989242178e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.345000000000072 y[1] (closed_form) = 0.07485576230301533 y[1] (numeric) = 0.07485576230301121 absolute error = 4.121702978920894e-15 relative error = 5.506193313797652e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.344000000000072 y[1] (closed_form) = 0.07481481836159434 y[1] (numeric) = 0.07481481836159021 absolute error = 4.135580766728708e-15 relative error = 5.527756208323135e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.343000000000072 y[1] (closed_form) = 0.07477390800371983 y[1] (numeric) = 0.07477390800371568 absolute error = 4.149458554536523e-15 relative error = 5.549340224841661e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.342000000000072 y[1] (closed_form) = 0.07473303119267338 y[1] (numeric) = 0.07473303119266925 absolute error = 4.135580766728708e-15 relative error = 5.533805735868705e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.341000000000073 y[1] (closed_form) = 0.07469218789178682 y[1] (numeric) = 0.07469218789178268 absolute error = 4.135580766728708e-15 relative error = 5.536831740315721e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.340000000000073 y[1] (closed_form) = 0.07465137806444203 y[1] (numeric) = 0.07465137806443788 absolute error = 4.149458554536523e-15 relative error = 5.558448701314724e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.339000000000073 y[1] (closed_form) = 0.07461060167407088 y[1] (numeric) = 0.07461060167406672 absolute error = 4.163336342344337e-15 relative error = 5.580086809286788e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.338000000000073 y[1] (closed_form) = 0.07456985868415518 y[1] (numeric) = 0.074569858684151 absolute error = 4.177214130152151e-15 relative error = 5.601746072558587e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.337000000000073 y[1] (closed_form) = 0.07452914905822657 y[1] (numeric) = 0.07452914905822239 absolute error = 4.177214130152151e-15 relative error = 5.604805881908923e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.336000000000073 y[1] (closed_form) = 0.07448847275986645 y[1] (numeric) = 0.07448847275986227 absolute error = 4.177214130152151e-15 relative error = 5.607866526702085e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.335000000000073 y[1] (closed_form) = 0.07444782975270589 y[1] (numeric) = 0.07444782975270173 absolute error = 4.163336342344337e-15 relative error = 5.592287050104393e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.334000000000073 y[1] (closed_form) = 0.0744072200004256 y[1] (numeric) = 0.07440722000042144 absolute error = 4.163336342344337e-15 relative error = 5.595339191976966e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.333000000000073 y[1] (closed_form) = 0.07436664346675578 y[1] (numeric) = 0.07436664346675159 absolute error = 4.191091917959966e-15 relative error = 5.635714780960251e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.332000000000074 y[1] (closed_form) = 0.07432610011547601 y[1] (numeric) = 0.07432610011547182 absolute error = 4.191091917959966e-15 relative error = 5.638788946882074e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.331000000000074 y[1] (closed_form) = 0.07428558991041531 y[1] (numeric) = 0.07428558991041111 absolute error = 4.20496970576778e-15 relative error = 5.660545619734275e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.330000000000074 y[1] (closed_form) = 0.0742451128154519 y[1] (numeric) = 0.07424511281544771 absolute error = 4.191091917959966e-15 relative error = 5.644939793380872e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.329000000000074 y[1] (closed_form) = 0.07420466879451326 y[1] (numeric) = 0.07420466879450907 absolute error = 4.191091917959966e-15 relative error = 5.648016473957846e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.328000000000074 y[1] (closed_form) = 0.07416425781157594 y[1] (numeric) = 0.07416425781157174 absolute error = 4.20496970576778e-15 relative error = 5.669806224517286e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.327000000000074 y[1] (closed_form) = 0.07412387983066551 y[1] (numeric) = 0.07412387983066131 absolute error = 4.20496970576778e-15 relative error = 5.672894774766172e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.326000000000074 y[1] (closed_form) = 0.07408353481585651 y[1] (numeric) = 0.07408353481585231 absolute error = 4.20496970576778e-15 relative error = 5.675984166009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.325000000000074 y[1] (closed_form) = 0.07404322273127238 y[1] (numeric) = 0.07404322273126816 absolute error = 4.218847493575595e-15 relative error = 5.697817218041958e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.324000000000074 y[1] (closed_form) = 0.07400294354108528 y[1] (numeric) = 0.07400294354108107 absolute error = 4.20496970576778e-15 relative error = 5.682165471476478e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.323000000000075 y[1] (closed_form) = 0.07396269720951618 y[1] (numeric) = 0.07396269720951194 absolute error = 4.232725281383409e-15 relative error = 5.722783837091894e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.322000000000075 y[1] (closed_form) = 0.07392248370083457 y[1] (numeric) = 0.07392248370083034 absolute error = 4.232725281383409e-15 relative error = 5.725897006536352e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.321000000000075 y[1] (closed_form) = 0.07388230297935859 y[1] (numeric) = 0.07388230297935434 absolute error = 4.246603069191224e-15 relative error = 5.747794665222671e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.320000000000075 y[1] (closed_form) = 0.0738421550094548 y[1] (numeric) = 0.07384215500945056 absolute error = 4.246603069191224e-15 relative error = 5.750919740421289e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.319000000000075 y[1] (closed_form) = 0.07380203975553817 y[1] (numeric) = 0.07380203975553393 absolute error = 4.246603069191224e-15 relative error = 5.75404566494052e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.318000000000075 y[1] (closed_form) = 0.07376195718207201 y[1] (numeric) = 0.07376195718206775 absolute error = 4.260480856999038e-15 relative error = 5.775986727795987e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.317000000000075 y[1] (closed_form) = 0.07372190725356782 y[1] (numeric) = 0.07372190725356356 absolute error = 4.260480856999038e-15 relative error = 5.779124571947166e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.316000000000075 y[1] (closed_form) = 0.07368188993458528 y[1] (numeric) = 0.07368188993458102 absolute error = 4.260480856999038e-15 relative error = 5.782263268194517e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.315000000000075 y[1] (closed_form) = 0.07364190518973217 y[1] (numeric) = 0.07364190518972791 absolute error = 4.260480856999038e-15 relative error = 5.78540281653804e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.314000000000076 y[1] (closed_form) = 0.07360195298366427 y[1] (numeric) = 0.07360195298365999 absolute error = 4.288236432614667e-15 relative error = 5.826253596241432e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.313000000000076 y[1] (closed_form) = 0.07356203328108524 y[1] (numeric) = 0.07356203328108095 absolute error = 4.288236432614667e-15 relative error = 5.829415312963198e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.312000000000076 y[1] (closed_form) = 0.07352214604674663 y[1] (numeric) = 0.07352214604674234 absolute error = 4.288236432614667e-15 relative error = 5.832577887332252e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.311000000000076 y[1] (closed_form) = 0.07348229124544775 y[1] (numeric) = 0.07348229124544346 absolute error = 4.288236432614667e-15 relative error = 5.835741319348591e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.310000000000076 y[1] (closed_form) = 0.07344246884203562 y[1] (numeric) = 0.07344246884203132 absolute error = 4.302114220422482e-15 relative error = 5.857801743669214e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.309000000000076 y[1] (closed_form) = 0.0734026788014048 y[1] (numeric) = 0.0734026788014005 absolute error = 4.302114220422482e-15 relative error = 5.860977134175308e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.308000000000076 y[1] (closed_form) = 0.0733629210884975 y[1] (numeric) = 0.07336292108849318 absolute error = 4.315992008230296e-15 relative error = 5.883070008927161e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.307000000000076 y[1] (closed_form) = 0.07332319566830327 y[1] (numeric) = 0.07332319566829895 absolute error = 4.315992008230296e-15 relative error = 5.886257369025239e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.306000000000076 y[1] (closed_form) = 0.07328350250585912 y[1] (numeric) = 0.0732835025058548 absolute error = 4.315992008230296e-15 relative error = 5.889445592321719e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.305000000000077 y[1] (closed_form) = 0.07324384156624934 y[1] (numeric) = 0.07324384156624503 absolute error = 4.315992008230296e-15 relative error = 5.892634678816599e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.304000000000077 y[1] (closed_form) = 0.07320421281460546 y[1] (numeric) = 0.07320421281460114 absolute error = 4.315992008230296e-15 relative error = 5.895824628509883e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.303000000000077 y[1] (closed_form) = 0.07316461621610615 y[1] (numeric) = 0.07316461621610182 absolute error = 4.329869796038111e-15 relative error = 5.917983336711539e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.302000000000077 y[1] (closed_form) = 0.07312505173597715 y[1] (numeric) = 0.07312505173597281 absolute error = 4.343747583845925e-15 relative error = 5.940163433359765e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.301000000000077 y[1] (closed_form) = 0.07308551933949119 y[1] (numeric) = 0.07308551933948686 absolute error = 4.329869796038111e-15 relative error = 5.924388080113839e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.300000000000077 y[1] (closed_form) = 0.07304601899196798 y[1] (numeric) = 0.07304601899196364 absolute error = 4.343747583845925e-15 relative error = 5.946590442284823e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.299000000000077 y[1] (closed_form) = 0.07300655065877401 y[1] (numeric) = 0.07300655065876965 absolute error = 4.357625371653739e-15 relative error = 5.968814212331281e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.298000000000077 y[1] (closed_form) = 0.07296711430532256 y[1] (numeric) = 0.0729671143053182 absolute error = 4.357625371653739e-15 relative error = 5.972040162393916e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.297000000000077 y[1] (closed_form) = 0.07292770989707362 y[1] (numeric) = 0.07292770989706925 absolute error = 4.371503159461554e-15 relative error = 5.994296496669464e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.296000000000078 y[1] (closed_form) = 0.07288833739953376 y[1] (numeric) = 0.07288833739952939 absolute error = 4.371503159461554e-15 relative error = 5.997534469059678e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.295000000000078 y[1] (closed_form) = 0.07284899677825617 y[1] (numeric) = 0.0728489967782518 absolute error = 4.371503159461554e-15 relative error = 6.000773315750522e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.294000000000078 y[1] (closed_form) = 0.07280968799884044 y[1] (numeric) = 0.07280968799883605 absolute error = 4.385380947269368e-15 relative error = 6.023073395588798e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.293000000000078 y[1] (closed_form) = 0.07277041102693255 y[1] (numeric) = 0.07277041102692816 absolute error = 4.385380947269368e-15 relative error = 6.026324278485009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.292000000000078 y[1] (closed_form) = 0.07273116582822484 y[1] (numeric) = 0.07273116582822045 absolute error = 4.385380947269368e-15 relative error = 6.029576038457409e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.291000000000078 y[1] (closed_form) = 0.07269195236845589 y[1] (numeric) = 0.07269195236845148 absolute error = 4.413136522884997e-15 relative error = 6.071011135477555e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.290000000000078 y[1] (closed_form) = 0.07265277061341041 y[1] (numeric) = 0.072652770613406 absolute error = 4.413136522884997e-15 relative error = 6.074285241463882e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.289000000000078 y[1] (closed_form) = 0.07261362052891923 y[1] (numeric) = 0.07261362052891482 absolute error = 4.413136522884997e-15 relative error = 6.077560230077515e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.288000000000078 y[1] (closed_form) = 0.07257450208085919 y[1] (numeric) = 0.07257450208085478 absolute error = 4.413136522884997e-15 relative error = 6.080836101318453e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.287000000000079 y[1] (closed_form) = 0.0725354152351531 y[1] (numeric) = 0.07253541523514868 absolute error = 4.413136522884997e-15 relative error = 6.084112855186694e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.286000000000079 y[1] (closed_form) = 0.07249635995776958 y[1] (numeric) = 0.07249635995776518 absolute error = 4.399258735077183e-15 relative error = 6.068247754287014e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.285000000000079 y[1] (closed_form) = 0.07245733621472314 y[1] (numeric) = 0.07245733621471873 absolute error = 4.413136522884997e-15 relative error = 6.090669010805091e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.284000000000079 y[1] (closed_form) = 0.07241834397207393 y[1] (numeric) = 0.0724183439720695 absolute error = 4.427014310692812e-15 relative error = 6.113111772343156e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.283000000000079 y[1] (closed_form) = 0.07237938319592777 y[1] (numeric) = 0.07237938319592334 absolute error = 4.427014310692812e-15 relative error = 6.116402372080294e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.282000000000079 y[1] (closed_form) = 0.07234045385243608 y[1] (numeric) = 0.07234045385243164 absolute error = 4.440892098500626e-15 relative error = 6.138877850503116e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.281000000000079 y[1] (closed_form) = 0.07230155590779576 y[1] (numeric) = 0.0723015559077913 absolute error = 4.454769886308441e-15 relative error = 6.161374856150384e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.280000000000079 y[1] (closed_form) = 0.07226268932824913 y[1] (numeric) = 0.07226268932824467 absolute error = 4.454769886308441e-15 relative error = 6.164688759468809e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.279000000000079 y[1] (closed_form) = 0.07222385408008387 y[1] (numeric) = 0.07222385408007943 absolute error = 4.440892098500626e-15 relative error = 6.148788589399339e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.27800000000008 y[1] (closed_form) = 0.072185050129633 y[1] (numeric) = 0.07218505012962854 absolute error = 4.454769886308441e-15 relative error = 6.17131923896759e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.27700000000008 y[1] (closed_form) = 0.07214627744327465 y[1] (numeric) = 0.07214627744327019 absolute error = 4.454769886308441e-15 relative error = 6.174635815147947e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.27600000000008 y[1] (closed_form) = 0.07210753598743214 y[1] (numeric) = 0.0721075359874277 absolute error = 4.440892098500626e-15 relative error = 6.158707321901339e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.27500000000008 y[1] (closed_form) = 0.07206882572857388 y[1] (numeric) = 0.07206882572856942 absolute error = 4.468647674116255e-15 relative error = 6.20052793831567e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.27400000000008 y[1] (closed_form) = 0.07203014663321319 y[1] (numeric) = 0.07203014663320874 absolute error = 4.454769886308441e-15 relative error = 6.184590889412879e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.27300000000008 y[1] (closed_form) = 0.0719914986679084 y[1] (numeric) = 0.07199149866790394 absolute error = 4.454769886308441e-15 relative error = 6.187911029409144e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.27200000000008 y[1] (closed_form) = 0.07195288179926261 y[1] (numeric) = 0.07195288179925816 absolute error = 4.454769886308441e-15 relative error = 6.191232060359387e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.27100000000008 y[1] (closed_form) = 0.07191429599392375 y[1] (numeric) = 0.07191429599391928 absolute error = 4.468647674116255e-15 relative error = 6.213851658220813e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.27000000000008 y[1] (closed_form) = 0.07187574121858442 y[1] (numeric) = 0.07187574121857994 absolute error = 4.48252546192407e-15 relative error = 6.236492849920069e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.269000000000081 y[1] (closed_form) = 0.07183721743998184 y[1] (numeric) = 0.07183721743997737 absolute error = 4.468647674116255e-15 relative error = 6.220518880550595e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.268000000000081 y[1] (closed_form) = 0.07179872462489784 y[1] (numeric) = 0.07179872462489337 absolute error = 4.468647674116255e-15 relative error = 6.223853832309788e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.267000000000081 y[1] (closed_form) = 0.07176026274015869 y[1] (numeric) = 0.07176026274015421 absolute error = 4.48252546192407e-15 relative error = 6.24652877617677e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.266000000000081 y[1] (closed_form) = 0.07172183175263508 y[1] (numeric) = 0.0717218317526306 absolute error = 4.48252546192407e-15 relative error = 6.249875877939189e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.265000000000081 y[1] (closed_form) = 0.07168343162924207 y[1] (numeric) = 0.07168343162923757 absolute error = 4.496403249731884e-15 relative error = 6.272583702448825e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.264000000000081 y[1] (closed_form) = 0.07164506233693894 y[1] (numeric) = 0.07164506233693445 absolute error = 4.496403249731884e-15 relative error = 6.2759429653167e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.263000000000081 y[1] (closed_form) = 0.07160672384272926 y[1] (numeric) = 0.07160672384272475 absolute error = 4.510281037539698e-15 relative error = 6.298683692673449e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.262000000000081 y[1] (closed_form) = 0.07156841611366062 y[1] (numeric) = 0.07156841611365612 absolute error = 4.496403249731884e-15 relative error = 6.282664188894399e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.261000000000081 y[1] (closed_form) = 0.07153013911682476 y[1] (numeric) = 0.07153013911682027 absolute error = 4.496403249731884e-15 relative error = 6.286026149604223e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.260000000000081 y[1] (closed_form) = 0.0714918928193574 y[1] (numeric) = 0.07149189281935289 absolute error = 4.510281037539698e-15 relative error = 6.308800704068753e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.259000000000082 y[1] (closed_form) = 0.07145367718843811 y[1] (numeric) = 0.0714536771884336 absolute error = 4.510281037539698e-15 relative error = 6.312174845312937e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.258000000000082 y[1] (closed_form) = 0.07141549219129038 y[1] (numeric) = 0.07141549219128585 absolute error = 4.538036613155327e-15 relative error = 6.354414811004792e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.257000000000082 y[1] (closed_form) = 0.07137733779518142 y[1] (numeric) = 0.0713773377951769 absolute error = 4.524158825347513e-15 relative error = 6.338368682689833e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.256000000000082 y[1] (closed_form) = 0.07133921396742221 y[1] (numeric) = 0.07133921396741769 absolute error = 4.524158825347513e-15 relative error = 6.341755920402371e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.255000000000082 y[1] (closed_form) = 0.07130112067536734 y[1] (numeric) = 0.0713011206753628 absolute error = 4.538036613155327e-15 relative error = 6.3646076950416e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.254000000000082 y[1] (closed_form) = 0.07126305788641495 y[1] (numeric) = 0.07126305788641041 absolute error = 4.538036613155327e-15 relative error = 6.368007138268515e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.253000000000082 y[1] (closed_form) = 0.07122502556800668 y[1] (numeric) = 0.07122502556800214 absolute error = 4.538036613155327e-15 relative error = 6.371407489102752e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.252000000000082 y[1] (closed_form) = 0.07118702368762764 y[1] (numeric) = 0.0711870236876231 absolute error = 4.538036613155327e-15 relative error = 6.374808747544311e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.251000000000082 y[1] (closed_form) = 0.07114905221280624 y[1] (numeric) = 0.07114905221280171 absolute error = 4.524158825347513e-15 relative error = 6.358705681441533e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.250000000000083 y[1] (closed_form) = 0.07111111111111425 y[1] (numeric) = 0.07111111111110971 absolute error = 4.538036613155327e-15 relative error = 6.381613987249398e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.249000000000083 y[1] (closed_form) = 0.07107320035016658 y[1] (numeric) = 0.07107320035016204 absolute error = 4.538036613155327e-15 relative error = 6.385017968512926e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.248000000000083 y[1] (closed_form) = 0.07103531989762135 y[1] (numeric) = 0.07103531989761681 absolute error = 4.538036613155327e-15 relative error = 6.388422857383775e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.247000000000083 y[1] (closed_form) = 0.07099746972117975 y[1] (numeric) = 0.07099746972117521 absolute error = 4.538036613155327e-15 relative error = 6.391828653861948e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.246000000000083 y[1] (closed_form) = 0.07095964978858596 y[1] (numeric) = 0.07095964978858142 absolute error = 4.538036613155327e-15 relative error = 6.395235357947443e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.245000000000083 y[1] (closed_form) = 0.07092186006762714 y[1] (numeric) = 0.07092186006762259 absolute error = 4.551914400963142e-15 relative error = 6.418210685143747e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.244000000000083 y[1] (closed_form) = 0.07088410052613328 y[1] (numeric) = 0.07088410052612874 absolute error = 4.538036613155327e-15 relative error = 6.402051488940402e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.243000000000083 y[1] (closed_form) = 0.07084637113197725 y[1] (numeric) = 0.0708463711319727 absolute error = 4.551914400963142e-15 relative error = 6.425049481339754e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.242000000000083 y[1] (closed_form) = 0.07080867185307457 y[1] (numeric) = 0.07080867185307003 absolute error = 4.538036613155327e-15 relative error = 6.408871250362651e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.241000000000084 y[1] (closed_form) = 0.07077100265738352 y[1] (numeric) = 0.07077100265737897 absolute error = 4.551914400963142e-15 relative error = 6.431891919067281e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.240000000000084 y[1] (closed_form) = 0.07073336351290492 y[1] (numeric) = 0.07073336351290035 absolute error = 4.565792188770956e-15 relative error = 6.454934364796539e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.239000000000084 y[1] (closed_form) = 0.07069575438768212 y[1] (numeric) = 0.07069575438767756 absolute error = 4.565792188770956e-15 relative error = 6.458368297101715e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.238000000000084 y[1] (closed_form) = 0.070658175249801 y[1] (numeric) = 0.07065817524979642 absolute error = 4.579669976578771e-15 relative error = 6.481443881600479e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.237000000000084 y[1] (closed_form) = 0.07062062606738978 y[1] (numeric) = 0.0706206260673852 absolute error = 4.579669976578771e-15 relative error = 6.484890083257854e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.236000000000084 y[1] (closed_form) = 0.07058310680861903 y[1] (numeric) = 0.07058310680861446 absolute error = 4.565792188770956e-15 relative error = 6.468675572967864e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.235000000000084 y[1] (closed_form) = 0.07054561744170161 y[1] (numeric) = 0.07054561744169703 absolute error = 4.579669976578771e-15 relative error = 6.49178523437459e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.234000000000084 y[1] (closed_form) = 0.07050815793489254 y[1] (numeric) = 0.07050815793488796 absolute error = 4.579669976578771e-15 relative error = 6.495234183833951e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.233000000000084 y[1] (closed_form) = 0.07047072825648899 y[1] (numeric) = 0.0704707282564844 absolute error = 4.593547764386585e-15 relative error = 6.518377031194663e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.232000000000085 y[1] (closed_form) = 0.07043332837483017 y[1] (numeric) = 0.07043332837482559 absolute error = 4.579669976578771e-15 relative error = 6.50213483055466e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.231000000000085 y[1] (closed_form) = 0.07039595825829735 y[1] (numeric) = 0.07039595825829274 absolute error = 4.6074255521944e-15 relative error = 6.545014324954284e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.230000000000085 y[1] (closed_form) = 0.07035861787531363 y[1] (numeric) = 0.07035861787530902 absolute error = 4.6074255521944e-15 relative error = 6.548487863078084e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.229000000000085 y[1] (closed_form) = 0.07032130719434405 y[1] (numeric) = 0.07032130719433943 absolute error = 4.621303340002214e-15 relative error = 6.571697148960145e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.228000000000085 y[1] (closed_form) = 0.07028402618389543 y[1] (numeric) = 0.0702840261838908 absolute error = 4.621303340002214e-15 relative error = 6.575182998069509e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.227000000000085 y[1] (closed_form) = 0.07024677481251627 y[1] (numeric) = 0.07024677481251167 absolute error = 4.6074255521944e-15 relative error = 6.558914006360144e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.226000000000085 y[1] (closed_form) = 0.07020955304879685 y[1] (numeric) = 0.07020955304879223 absolute error = 4.621303340002214e-15 relative error = 6.58215746907024e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.225000000000085 y[1] (closed_form) = 0.07017236086136891 y[1] (numeric) = 0.07017236086136429 absolute error = 4.621303340002214e-15 relative error = 6.585646090961607e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.224000000000085 y[1] (closed_form) = 0.07013519821890579 y[1] (numeric) = 0.07013519821890117 absolute error = 4.621303340002214e-15 relative error = 6.589135637113643e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.223000000000086 y[1] (closed_form) = 0.0700980650901223 y[1] (numeric) = 0.07009806509011768 absolute error = 4.621303340002214e-15 relative error = 6.592626107526346e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.222000000000086 y[1] (closed_form) = 0.07006096144377463 y[1] (numeric) = 0.07006096144377001 absolute error = 4.621303340002214e-15 relative error = 6.596117502199717e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.221000000000086 y[1] (closed_form) = 0.07002388724866032 y[1] (numeric) = 0.07002388724865569 absolute error = 4.635181127810029e-15 relative error = 6.619428469245268e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.220000000000086 y[1] (closed_form) = 0.06998684247361815 y[1] (numeric) = 0.0699868424736135 absolute error = 4.649058915617843e-15 relative error = 6.642761340991096e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.219000000000086 y[1] (closed_form) = 0.06994982708752812 y[1] (numeric) = 0.06994982708752347 absolute error = 4.649058915617843e-15 relative error = 6.646276494437194e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.218000000000086 y[1] (closed_form) = 0.06991284105931138 y[1] (numeric) = 0.06991284105930672 absolute error = 4.662936703425657e-15 relative error = 6.669642704792673e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.217000000000086 y[1] (closed_form) = 0.0698758843579301 y[1] (numeric) = 0.06987588435792545 absolute error = 4.649058915617843e-15 relative error = 6.653309590764741e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.216000000000086 y[1] (closed_form) = 0.06983895695238755 y[1] (numeric) = 0.06983895695238289 absolute error = 4.662936703425657e-15 relative error = 6.676698660612296e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.215000000000086 y[1] (closed_form) = 0.06980205881172784 y[1] (numeric) = 0.06980205881172317 absolute error = 4.662936703425657e-15 relative error = 6.680228037403119e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.214000000000087 y[1] (closed_form) = 0.06976518990503602 y[1] (numeric) = 0.06976518990503135 absolute error = 4.676814491233472e-15 relative error = 6.703650484718131e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.213000000000087 y[1] (closed_form) = 0.06972835020143794 y[1] (numeric) = 0.06972835020143325 absolute error = 4.690692279041286e-15 relative error = 6.727094883917897e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.212000000000087 y[1] (closed_form) = 0.06969153967010017 y[1] (numeric) = 0.06969153967009549 absolute error = 4.676814491233472e-15 relative error = 6.710734923309451e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.211000000000087 y[1] (closed_form) = 0.06965475828022999 y[1] (numeric) = 0.06965475828022531 absolute error = 4.676814491233472e-15 relative error = 6.714278545649459e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.210000000000087 y[1] (closed_form) = 0.06961800600107532 y[1] (numeric) = 0.06961800600107063 absolute error = 4.690692279041286e-15 relative error = 6.737757296537384e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.209000000000087 y[1] (closed_form) = 0.06958128280192456 y[1] (numeric) = 0.06958128280191987 absolute error = 4.690692279041286e-15 relative error = 6.741313310354125e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.208000000000087 y[1] (closed_form) = 0.06954458865210666 y[1] (numeric) = 0.06954458865210199 absolute error = 4.676814491233472e-15 relative error = 6.724915024846869e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.207000000000087 y[1] (closed_form) = 0.06950792352099101 y[1] (numeric) = 0.06950792352098632 absolute error = 4.690692279041286e-15 relative error = 6.748428152402974e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.206000000000087 y[1] (closed_form) = 0.0694712873779873 y[1] (numeric) = 0.06947128737798261 absolute error = 4.690692279041286e-15 relative error = 6.751986980635083e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.205000000000088 y[1] (closed_form) = 0.06943468019254556 y[1] (numeric) = 0.06943468019254087 absolute error = 4.690692279041286e-15 relative error = 6.755546747005647e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.204000000000088 y[1] (closed_form) = 0.06939810193415608 y[1] (numeric) = 0.06939810193415136 absolute error = 4.718447854656915e-15 relative error = 6.799102170162681e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.203000000000088 y[1] (closed_form) = 0.06936155257234922 y[1] (numeric) = 0.0693615525723445 absolute error = 4.718447854656915e-15 relative error = 6.802684887618722e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.202000000000088 y[1] (closed_form) = 0.06932503207669555 y[1] (numeric) = 0.06932503207669083 absolute error = 4.718447854656915e-15 relative error = 6.806268548764334e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.201000000000088 y[1] (closed_form) = 0.06928854041680566 y[1] (numeric) = 0.06928854041680092 absolute error = 4.73232564246473e-15 relative error = 6.829882133463044e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.200000000000088 y[1] (closed_form) = 0.06925207756233008 y[1] (numeric) = 0.06925207756232535 absolute error = 4.73232564246473e-15 relative error = 6.833478227718753e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.199000000000088 y[1] (closed_form) = 0.0692156434829593 y[1] (numeric) = 0.06921564348295457 absolute error = 4.73232564246473e-15 relative error = 6.83707526843959e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.198000000000088 y[1] (closed_form) = 0.06917923814842367 y[1] (numeric) = 0.06917923814841893 absolute error = 4.73232564246473e-15 relative error = 6.840673255625556e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.197000000000088 y[1] (closed_form) = 0.06914286152849329 y[1] (numeric) = 0.06914286152848854 absolute error = 4.746203430272544e-15 relative error = 6.864343368717343e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.196000000000089 y[1] (closed_form) = 0.06910651359297802 y[1] (numeric) = 0.06910651359297326 absolute error = 4.760081218080359e-15 relative error = 6.88803554194063e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.195000000000089 y[1] (closed_form) = 0.06907019431172737 y[1] (numeric) = 0.06907019431172261 absolute error = 4.760081218080359e-15 relative error = 6.891657487739467e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.194000000000089 y[1] (closed_form) = 0.06903390365463047 y[1] (numeric) = 0.06903390365462571 absolute error = 4.760081218080359e-15 relative error = 6.895280385554548e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.193000000000089 y[1] (closed_form) = 0.06899764159161598 y[1] (numeric) = 0.06899764159161122 absolute error = 4.760081218080359e-15 relative error = 6.898904235385872e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.192000000000089 y[1] (closed_form) = 0.06896140809265204 y[1] (numeric) = 0.06896140809264728 absolute error = 4.760081218080359e-15 relative error = 6.90252903723344e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.191000000000089 y[1] (closed_form) = 0.06892520312774623 y[1] (numeric) = 0.06892520312774146 absolute error = 4.773959005888173e-15 relative error = 6.926289353170421e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.190000000000089 y[1] (closed_form) = 0.06888902666694545 y[1] (numeric) = 0.06888902666694068 absolute error = 4.773959005888173e-15 relative error = 6.929926632537007e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.189000000000089 y[1] (closed_form) = 0.0688528786803359 y[1] (numeric) = 0.06885287868033113 absolute error = 4.773959005888173e-15 relative error = 6.933564866695394e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.188000000000089 y[1] (closed_form) = 0.06881675913804304 y[1] (numeric) = 0.06881675913803827 absolute error = 4.773959005888173e-15 relative error = 6.937204055645582e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.18700000000009 y[1] (closed_form) = 0.06878066801023147 y[1] (numeric) = 0.06878066801022668 absolute error = 4.787836793695988e-15 relative error = 6.961021072060208e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.18600000000009 y[1] (closed_form) = 0.06874460526710489 y[1] (numeric) = 0.06874460526710011 absolute error = 4.787836793695988e-15 relative error = 6.96467275518276e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.18500000000009 y[1] (closed_form) = 0.0687085708789061 y[1] (numeric) = 0.0687085708789013 absolute error = 4.801714581503802e-15 relative error = 6.988523440498389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.18400000000009 y[1] (closed_form) = 0.06867256481591681 y[1] (numeric) = 0.06867256481591201 absolute error = 4.801714581503802e-15 relative error = 6.992187628895534e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.18300000000009 y[1] (closed_form) = 0.06863658704845771 y[1] (numeric) = 0.06863658704845291 absolute error = 4.801714581503802e-15 relative error = 6.995852777635596e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.18200000000009 y[1] (closed_form) = 0.06860063754688835 y[1] (numeric) = 0.06860063754688353 absolute error = 4.815592369311616e-15 relative error = 7.019748710090591e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.18100000000009 y[1] (closed_form) = 0.06856471628160703 y[1] (numeric) = 0.06856471628160221 absolute error = 4.815592369311616e-15 relative error = 7.023426377983035e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.18000000000009 y[1] (closed_form) = 0.06852882322305086 y[1] (numeric) = 0.06852882322304603 absolute error = 4.829470157119431e-15 relative error = 7.047356032074625e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.17900000000009 y[1] (closed_form) = 0.06849295834169557 y[1] (numeric) = 0.06849295834169074 absolute error = 4.829470157119431e-15 relative error = 7.05104623022168e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.178000000000091 y[1] (closed_form) = 0.06845712160805555 y[1] (numeric) = 0.06845712160805072 absolute error = 4.829470157119431e-15 relative error = 7.054737394262766e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.177000000000091 y[1] (closed_form) = 0.06842131299268372 y[1] (numeric) = 0.0684213129926789 absolute error = 4.829470157119431e-15 relative error = 7.058429524197884e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.176000000000091 y[1] (closed_form) = 0.06838553246617156 y[1] (numeric) = 0.06838553246616672 absolute error = 4.843347944927245e-15 relative error = 7.082416075831707e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.175000000000091 y[1] (closed_form) = 0.06834977999914887 y[1] (numeric) = 0.06834977999914403 absolute error = 4.843347944927245e-15 relative error = 7.086120752674781e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.174000000000091 y[1] (closed_form) = 0.06831405556228395 y[1] (numeric) = 0.0683140555622791 absolute error = 4.85722573273506e-15 relative error = 7.110141087007465e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.173000000000091 y[1] (closed_form) = 0.06827835912628333 y[1] (numeric) = 0.06827835912627847 absolute error = 4.85722573273506e-15 relative error = 7.113858321860727e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.172000000000091 y[1] (closed_form) = 0.06824269066189183 y[1] (numeric) = 0.06824269066188698 absolute error = 4.843347944927245e-15 relative error = 7.097240595221539e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.171000000000091 y[1] (closed_form) = 0.06820705013989251 y[1] (numeric) = 0.06820705013988765 absolute error = 4.85722573273506e-15 relative error = 7.12129570590269e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.170000000000091 y[1] (closed_form) = 0.06817143753110648 y[1] (numeric) = 0.06817143753110161 absolute error = 4.871103520542874e-15 relative error = 7.145373043248795e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.169000000000092 y[1] (closed_form) = 0.06813585280639298 y[1] (numeric) = 0.06813585280638812 absolute error = 4.85722573273506e-15 relative error = 7.12873697572524e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.168000000000092 y[1] (closed_form) = 0.06810029593664928 y[1] (numeric) = 0.06810029593664442 absolute error = 4.85722573273506e-15 relative error = 7.132459067804235e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.167000000000092 y[1] (closed_form) = 0.06806476689281057 y[1] (numeric) = 0.06806476689280572 absolute error = 4.85722573273506e-15 relative error = 7.136182131328375e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.166000000000092 y[1] (closed_form) = 0.06802926564584998 y[1] (numeric) = 0.06802926564584512 absolute error = 4.85722573273506e-15 relative error = 7.139906166297662e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.165000000000092 y[1] (closed_form) = 0.06799379216677842 y[1] (numeric) = 0.06799379216677358 absolute error = 4.843347944927245e-15 relative error = 7.12322079793292e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.164000000000092 y[1] (closed_form) = 0.06795834642664467 y[1] (numeric) = 0.06795834642663981 absolute error = 4.85722573273506e-15 relative error = 7.147357150571677e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.163000000000092 y[1] (closed_form) = 0.06792292839653515 y[1] (numeric) = 0.06792292839653027 absolute error = 4.871103520542874e-15 relative error = 7.171515768733194e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.162000000000092 y[1] (closed_form) = 0.06788753804757397 y[1] (numeric) = 0.06788753804756908 absolute error = 4.884981308350689e-15 relative error = 7.195696660744141e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.161000000000092 y[1] (closed_form) = 0.06785217535092285 y[1] (numeric) = 0.06785217535091796 absolute error = 4.884981308350689e-15 relative error = 7.199446860894562e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.160000000000093 y[1] (closed_form) = 0.06781684027778105 y[1] (numeric) = 0.06781684027777617 absolute error = 4.884981308350689e-15 relative error = 7.203198038041244e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.159000000000093 y[1] (closed_form) = 0.06778153279938533 y[1] (numeric) = 0.06778153279938044 absolute error = 4.884981308350689e-15 relative error = 7.206950192184188e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.158000000000093 y[1] (closed_form) = 0.06774625288700983 y[1] (numeric) = 0.06774625288700496 absolute error = 4.871103520542874e-15 relative error = 7.190218370700316e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.157000000000093 y[1] (closed_form) = 0.06771100051196614 y[1] (numeric) = 0.06771100051196127 absolute error = 4.871103520542874e-15 relative error = 7.193961813755853e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.156000000000093 y[1] (closed_form) = 0.06767577564560311 y[1] (numeric) = 0.06767577564559822 absolute error = 4.884981308350689e-15 relative error = 7.218212516590589e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.155000000000093 y[1] (closed_form) = 0.06764057825930682 y[1] (numeric) = 0.06764057825930193 absolute error = 4.884981308350689e-15 relative error = 7.221968578718579e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.154000000000093 y[1] (closed_form) = 0.06760540832450057 y[1] (numeric) = 0.0676054083244957 absolute error = 4.871103520542874e-15 relative error = 7.205197988246688e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.153000000000093 y[1] (closed_form) = 0.06757026581264484 y[1] (numeric) = 0.06757026581263996 absolute error = 4.884981308350689e-15 relative error = 7.229483633963346e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.152000000000093 y[1] (closed_form) = 0.06753515069523713 y[1] (numeric) = 0.06753515069523224 absolute error = 4.898859096158503e-15 relative error = 7.253791611816144e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.151000000000094 y[1] (closed_form) = 0.06750006294381199 y[1] (numeric) = 0.06750006294380707 absolute error = 4.912736883966318e-15 relative error = 7.278121930131755e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.150000000000094 y[1] (closed_form) = 0.06746500252994088 y[1] (numeric) = 0.06746500252993597 absolute error = 4.912736883966318e-15 relative error = 7.281904246258721e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.149000000000094 y[1] (closed_form) = 0.06742996942523224 y[1] (numeric) = 0.06742996942522733 absolute error = 4.912736883966318e-15 relative error = 7.285687544933062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.148000000000094 y[1] (closed_form) = 0.06739496360133133 y[1] (numeric) = 0.06739496360132642 absolute error = 4.912736883966318e-15 relative error = 7.289471826154782e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.147000000000094 y[1] (closed_form) = 0.0673599850299202 y[1] (numeric) = 0.06735998502991529 absolute error = 4.912736883966318e-15 relative error = 7.293257089923878e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.146000000000094 y[1] (closed_form) = 0.06732503368271764 y[1] (numeric) = 0.06732503368271271 absolute error = 4.926614671774132e-15 relative error = 7.317656453009389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.145000000000094 y[1] (closed_form) = 0.06729010953147908 y[1] (numeric) = 0.06729010953147414 absolute error = 4.940492459581947e-15 relative error = 7.342078195415521e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.144000000000094 y[1] (closed_form) = 0.06725521254799662 y[1] (numeric) = 0.06725521254799167 absolute error = 4.940492459581947e-15 relative error = 7.345887809151104e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.143000000000094 y[1] (closed_form) = 0.06722034270409886 y[1] (numeric) = 0.06722034270409394 absolute error = 4.926614671774132e-15 relative error = 7.329053190729604e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.142000000000094 y[1] (closed_form) = 0.06718549997165101 y[1] (numeric) = 0.06718549997164608 absolute error = 4.926614671774132e-15 relative error = 7.332854073948877e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.141000000000095 y[1] (closed_form) = 0.06715068432255462 y[1] (numeric) = 0.06715068432254968 absolute error = 4.940492459581947e-15 relative error = 7.357322578948804e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.140000000000095 y[1] (closed_form) = 0.0671158957287477 y[1] (numeric) = 0.06711589572874274 absolute error = 4.954370247389761e-15 relative error = 7.381813493800486e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.139000000000095 y[1] (closed_form) = 0.06708113416220454 y[1] (numeric) = 0.06708113416219959 absolute error = 4.954370247389761e-15 relative error = 7.385638763068495e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.138000000000095 y[1] (closed_form) = 0.06704639959493577 y[1] (numeric) = 0.06704639959493082 absolute error = 4.954370247389761e-15 relative error = 7.389465023210553e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.137000000000095 y[1] (closed_form) = 0.06701169199898821 y[1] (numeric) = 0.06701169199898326 absolute error = 4.954370247389761e-15 relative error = 7.393292274226662e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.136000000000095 y[1] (closed_form) = 0.06697701134644485 y[1] (numeric) = 0.06697701134643988 absolute error = 4.968248035197576e-15 relative error = 7.417840741652159e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.135000000000095 y[1] (closed_form) = 0.06694235760942477 y[1] (numeric) = 0.0669423576094198 absolute error = 4.968248035197576e-15 relative error = 7.421680700558565e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.134000000000095 y[1] (closed_form) = 0.06690773076008315 y[1] (numeric) = 0.06690773076007818 absolute error = 4.968248035197576e-15 relative error = 7.425521653114576e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.133000000000095 y[1] (closed_form) = 0.06687313077061113 y[1] (numeric) = 0.06687313077060617 absolute error = 4.968248035197576e-15 relative error = 7.429363599320195e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.132000000000096 y[1] (closed_form) = 0.06683855761323584 y[1] (numeric) = 0.06683855761323086 absolute error = 4.98212582300539e-15 relative error = 7.45396968593289e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.131000000000096 y[1] (closed_form) = 0.06680401126022022 y[1] (numeric) = 0.06680401126021525 absolute error = 4.968248035197576e-15 relative error = 7.437050472680251e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.130000000000096 y[1] (closed_form) = 0.06676949168386312 y[1] (numeric) = 0.06676949168385814 absolute error = 4.98212582300539e-15 relative error = 7.461680023856572e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.129000000000096 y[1] (closed_form) = 0.0667349988564991 y[1] (numeric) = 0.06673499885649412 absolute error = 4.98212582300539e-15 relative error = 7.465536687456161e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.128000000000096 y[1] (closed_form) = 0.06670053275049849 y[1] (numeric) = 0.06670053275049351 absolute error = 4.98212582300539e-15 relative error = 7.469394347480914e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.127000000000096 y[1] (closed_form) = 0.06666609333826727 y[1] (numeric) = 0.06666609333826228 absolute error = 4.996003610813204e-15 relative error = 7.494069864666014e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.126000000000096 y[1] (closed_form) = 0.06663168059224701 y[1] (numeric) = 0.06663168059224202 absolute error = 4.996003610813204e-15 relative error = 7.497940268663309e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.125000000000096 y[1] (closed_form) = 0.06659729448491487 y[1] (numeric) = 0.06659729448490986 absolute error = 5.009881398621019e-15 relative error = 7.522650037616499e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.124000000000096 y[1] (closed_form) = 0.06656293498878346 y[1] (numeric) = 0.06656293498877847 absolute error = 4.996003610813204e-15 relative error = 7.50568407426007e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.123000000000097 y[1] (closed_form) = 0.06652860207640091 y[1] (numeric) = 0.0665286020763959 absolute error = 5.009881398621019e-15 relative error = 7.53041735773692e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.122000000000097 y[1] (closed_form) = 0.06649429572035065 y[1] (numeric) = 0.06649429572034564 absolute error = 5.009881398621019e-15 relative error = 7.534302520761551e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.121000000000097 y[1] (closed_form) = 0.06646001589325151 y[1] (numeric) = 0.0664600158932465 absolute error = 5.009881398621019e-15 relative error = 7.538188685762461e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.120000000000097 y[1] (closed_form) = 0.06642576256775759 y[1] (numeric) = 0.06642576256775258 absolute error = 5.009881398621019e-15 relative error = 7.54207585273965e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.119000000000097 y[1] (closed_form) = 0.0663915357165582 y[1] (numeric) = 0.06639153571655318 absolute error = 5.023759186428833e-15 relative error = 7.566866969121632e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.118000000000097 y[1] (closed_form) = 0.06635733531237784 y[1] (numeric) = 0.0663573353123728 absolute error = 5.037636974236648e-15 relative error = 7.591680634133243e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.117000000000097 y[1] (closed_form) = 0.06632316132797607 y[1] (numeric) = 0.06632316132797103 absolute error = 5.037636974236648e-15 relative error = 7.595592359243739e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.116000000000097 y[1] (closed_form) = 0.0662890137361476 y[1] (numeric) = 0.06628901373614256 absolute error = 5.037636974236648e-15 relative error = 7.599505091881628e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.115000000000097 y[1] (closed_form) = 0.06625489250972208 y[1] (numeric) = 0.06625489250971704 absolute error = 5.037636974236648e-15 relative error = 7.603418832046912e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.114000000000098 y[1] (closed_form) = 0.06622079762156417 y[1] (numeric) = 0.06622079762155914 absolute error = 5.037636974236648e-15 relative error = 7.607333579739591e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.113000000000098 y[1] (closed_form) = 0.0661867290445734 y[1] (numeric) = 0.06618672904456835 absolute error = 5.051514762044462e-15 relative error = 7.632216963981592e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.112000000000098 y[1] (closed_form) = 0.06615268675168413 y[1] (numeric) = 0.06615268675167908 absolute error = 5.051514762044462e-15 relative error = 7.63614451670908e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.111000000000098 y[1] (closed_form) = 0.06611867071586554 y[1] (numeric) = 0.06611867071586049 absolute error = 5.051514762044462e-15 relative error = 7.640073079739524e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.110000000000098 y[1] (closed_form) = 0.06608468091012155 y[1] (numeric) = 0.06608468091011649 absolute error = 5.065392549852277e-15 relative error = 7.665002660361578e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.109000000000098 y[1] (closed_form) = 0.06605071730749075 y[1] (numeric) = 0.06605071730748568 absolute error = 5.065392549852277e-15 relative error = 7.668944042304618e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.108000000000098 y[1] (closed_form) = 0.06601677988104637 y[1] (numeric) = 0.06601677988104131 absolute error = 5.065392549852277e-15 relative error = 7.672886437326166e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.107000000000098 y[1] (closed_form) = 0.06598286860389624 y[1] (numeric) = 0.06598286860389116 absolute error = 5.079270337660091e-15 relative error = 7.697862255961639e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.106000000000098 y[1] (closed_form) = 0.06594898344918265 y[1] (numeric) = 0.06594898344917757 absolute error = 5.079270337660091e-15 relative error = 7.701817483773575e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.105000000000099 y[1] (closed_form) = 0.06591512439008244 y[1] (numeric) = 0.06591512439007736 absolute error = 5.079270337660091e-15 relative error = 7.705773727439579e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.104000000000099 y[1] (closed_form) = 0.06588129139980686 y[1] (numeric) = 0.06588129139980177 absolute error = 5.093148125467906e-15 relative error = 7.730795825721833e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.103000000000099 y[1] (closed_form) = 0.06584748445160145 y[1] (numeric) = 0.06584748445159637 absolute error = 5.079270337660091e-15 relative error = 7.713689262333787e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.102000000000099 y[1] (closed_form) = 0.06581370351874616 y[1] (numeric) = 0.06581370351874108 absolute error = 5.079270337660091e-15 relative error = 7.717648553561993e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.101000000000099 y[1] (closed_form) = 0.06577994857455514 y[1] (numeric) = 0.06577994857455007 absolute error = 5.079270337660091e-15 relative error = 7.721608860644265e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.100000000000099 y[1] (closed_form) = 0.06574621959237678 y[1] (numeric) = 0.0657462195923717 absolute error = 5.079270337660091e-15 relative error = 7.725570183580606e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.099000000000099 y[1] (closed_form) = 0.0657125165455936 y[1] (numeric) = 0.06571251654558852 absolute error = 5.079270337660091e-15 relative error = 7.729532522371014e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.098000000000099 y[1] (closed_form) = 0.06567883940762224 y[1] (numeric) = 0.06567883940761716 absolute error = 5.079270337660091e-15 relative error = 7.73349587701549e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.097000000000099 y[1] (closed_form) = 0.06564518815191339 y[1] (numeric) = 0.06564518815190831 absolute error = 5.079270337660091e-15 relative error = 7.737460247514034e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.0960000000001 y[1] (closed_form) = 0.06561156275195175 y[1] (numeric) = 0.06561156275194666 absolute error = 5.093148125467906e-15 relative error = 7.762577070024749e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.0950000000001 y[1] (closed_form) = 0.06557796318125592 y[1] (numeric) = 0.06557796318125082 absolute error = 5.093148125467906e-15 relative error = 7.766554309395928e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.0940000000001 y[1] (closed_form) = 0.06554438941337844 y[1] (numeric) = 0.06554438941337334 absolute error = 5.093148125467906e-15 relative error = 7.770532567396729e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.0930000000001 y[1] (closed_form) = 0.06551084142190568 y[1] (numeric) = 0.06551084142190058 absolute error = 5.093148125467906e-15 relative error = 7.774511844027156e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.0920000000001 y[1] (closed_form) = 0.06547731918045779 y[1] (numeric) = 0.0654773191804527 absolute error = 5.093148125467906e-15 relative error = 7.77849213928721e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.0910000000001 y[1] (closed_form) = 0.06544382266268867 y[1] (numeric) = 0.06544382266268357 absolute error = 5.093148125467906e-15 relative error = 7.782473453176888e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.0900000000001 y[1] (closed_form) = 0.06541035184228591 y[1] (numeric) = 0.06541035184228081 absolute error = 5.10702591327572e-15 relative error = 7.807672286474654e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.0890000000001 y[1] (closed_form) = 0.06537690669297071 y[1] (numeric) = 0.0653769066929656 absolute error = 5.10702591327572e-15 relative error = 7.811666491441426e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.0880000000001 y[1] (closed_form) = 0.06534348718849788 y[1] (numeric) = 0.06534348718849277 absolute error = 5.10702591327572e-15 relative error = 7.815661717813381e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.087000000000101 y[1] (closed_form) = 0.06531009330265575 y[1] (numeric) = 0.06531009330265063 absolute error = 5.120903701083535e-15 relative error = 7.840907036149189e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.086000000000101 y[1] (closed_form) = 0.06527672500926612 y[1] (numeric) = 0.065276725009261 absolute error = 5.120903701083535e-15 relative error = 7.844915167476027e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.085000000000101 y[1] (closed_form) = 0.06524338228218425 y[1] (numeric) = 0.06524338228217913 absolute error = 5.120903701083535e-15 relative error = 7.848924322983603e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.084000000000101 y[1] (closed_form) = 0.06521006509529874 y[1] (numeric) = 0.06521006509529362 absolute error = 5.120903701083535e-15 relative error = 7.852934502671923e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.083000000000101 y[1] (closed_form) = 0.06517677342253153 y[1] (numeric) = 0.06517677342252641 absolute error = 5.120903701083535e-15 relative error = 7.856945706540981e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.082000000000101 y[1] (closed_form) = 0.06514350723783788 y[1] (numeric) = 0.06514350723783274 absolute error = 5.134781488891349e-15 relative error = 7.88226134362761e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.081000000000101 y[1] (closed_form) = 0.0651102665152062 y[1] (numeric) = 0.06511026651520105 absolute error = 5.148659276699163e-15 relative error = 7.907599756939589e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.080000000000101 y[1] (closed_form) = 0.06507705122865809 y[1] (numeric) = 0.06507705122865295 absolute error = 5.134781488891349e-15 relative error = 7.890310627089594e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.079000000000101 y[1] (closed_form) = 0.06504386135224834 y[1] (numeric) = 0.06504386135224319 absolute error = 5.148659276699163e-15 relative error = 7.915672854685451e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.078000000000102 y[1] (closed_form) = 0.06501069686006472 y[1] (numeric) = 0.06501069686005957 absolute error = 5.148659276699163e-15 relative error = 7.919710948156167e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.077000000000102 y[1] (closed_form) = 0.0649775577262281 y[1] (numeric) = 0.06497755772622295 absolute error = 5.148659276699163e-15 relative error = 7.923750071358737e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.076000000000102 y[1] (closed_form) = 0.06494444392489225 y[1] (numeric) = 0.06494444392488712 absolute error = 5.134781488891349e-15 relative error = 7.906421517489138e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.075000000000102 y[1] (closed_form) = 0.06491135543024394 y[1] (numeric) = 0.06491135543023879 absolute error = 5.148659276699163e-15 relative error = 7.931831406959445e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.074000000000102 y[1] (closed_form) = 0.06487829221650275 y[1] (numeric) = 0.06487829221649759 absolute error = 5.162537064506978e-15 relative error = 7.957264114288463e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.073000000000102 y[1] (closed_form) = 0.06484525425792109 y[1] (numeric) = 0.06484525425791593 absolute error = 5.162537064506978e-15 relative error = 7.961318254645219e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.072000000000102 y[1] (closed_form) = 0.06481224152878416 y[1] (numeric) = 0.06481224152877899 absolute error = 5.176414852314792e-15 relative error = 7.98678572166936e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.071000000000102 y[1] (closed_form) = 0.06477925400340985 y[1] (numeric) = 0.06477925400340469 absolute error = 5.162537064506978e-15 relative error = 7.969429632880972e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.070000000000102 y[1] (closed_form) = 0.06474629165614876 y[1] (numeric) = 0.0647462916561436 absolute error = 5.162537064506978e-15 relative error = 7.973486870759967e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.069000000000103 y[1] (closed_form) = 0.06471335446138408 y[1] (numeric) = 0.06471335446137892 absolute error = 5.162537064506978e-15 relative error = 7.977545141146377e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.068000000000103 y[1] (closed_form) = 0.0646804423935316 y[1] (numeric) = 0.06468044239352642 absolute error = 5.176414852314792e-15 relative error = 8.003060369965037e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.067000000000103 y[1] (closed_form) = 0.06464755542703959 y[1] (numeric) = 0.0646475554270344 absolute error = 5.190292640122607e-15 relative error = 8.028598461051331e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.066000000000103 y[1] (closed_form) = 0.06461469353638882 y[1] (numeric) = 0.06461469353638362 absolute error = 5.204170427930421e-15 relative error = 8.054159422731932e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.065000000000103 y[1] (closed_form) = 0.06458185669609247 y[1] (numeric) = 0.06458185669608726 absolute error = 5.204170427930421e-15 relative error = 8.058254584441671e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.064000000000103 y[1] (closed_form) = 0.06454904488069609 y[1] (numeric) = 0.06454904488069088 absolute error = 5.204170427930421e-15 relative error = 8.062350786985495e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.063000000000103 y[1] (closed_form) = 0.06451625806477757 y[1] (numeric) = 0.06451625806477236 absolute error = 5.204170427930421e-15 relative error = 8.066448030363405e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.062000000000103 y[1] (closed_form) = 0.06448349622294706 y[1] (numeric) = 0.06448349622294186 absolute error = 5.204170427930421e-15 relative error = 8.0705463145754e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.061000000000103 y[1] (closed_form) = 0.06445075932984697 y[1] (numeric) = 0.06445075932984175 absolute error = 5.218048215738236e-15 relative error = 8.096178027993802e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.060000000000104 y[1] (closed_form) = 0.0644180473601518 y[1] (numeric) = 0.06441804736014659 absolute error = 5.218048215738236e-15 relative error = 8.100289328182983e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.059000000000104 y[1] (closed_form) = 0.06438536028856827 y[1] (numeric) = 0.06438536028856305 absolute error = 5.218048215738236e-15 relative error = 8.104401671981804e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.058000000000104 y[1] (closed_form) = 0.06435269808983513 y[1] (numeric) = 0.06435269808982989 absolute error = 5.23192600354605e-15 relative error = 8.130080259016307e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.057000000000104 y[1] (closed_form) = 0.06432006073872315 y[1] (numeric) = 0.06432006073871792 absolute error = 5.23192600354605e-15 relative error = 8.134205632670104e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.056000000000104 y[1] (closed_form) = 0.06428744821003511 y[1] (numeric) = 0.06428744821002988 absolute error = 5.23192600354605e-15 relative error = 8.138332052709101e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.055000000000104 y[1] (closed_form) = 0.06425486047860572 y[1] (numeric) = 0.06425486047860049 absolute error = 5.23192600354605e-15 relative error = 8.142459519133297e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.054000000000104 y[1] (closed_form) = 0.06422229751930154 y[1] (numeric) = 0.06422229751929631 absolute error = 5.23192600354605e-15 relative error = 8.146588031942696e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.053000000000104 y[1] (closed_form) = 0.06418975930702102 y[1] (numeric) = 0.06418975930701579 absolute error = 5.23192600354605e-15 relative error = 8.150717591137294e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.052000000000104 y[1] (closed_form) = 0.06415724581669434 y[1] (numeric) = 0.06415724581668909 absolute error = 5.245803791353865e-15 relative error = 8.176479093790611e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.051000000000105 y[1] (closed_form) = 0.06412475702328344 y[1] (numeric) = 0.06412475702327819 absolute error = 5.245803791353865e-15 relative error = 8.180621705044645e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.050000000000105 y[1] (closed_form) = 0.06409229290178195 y[1] (numeric) = 0.0640922929017767 absolute error = 5.245803791353865e-15 relative error = 8.184765365459434e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.049000000000105 y[1] (closed_form) = 0.06405985342721517 y[1] (numeric) = 0.06405985342720991 absolute error = 5.259681579161679e-15 relative error = 8.21057385830227e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.048000000000105 y[1] (closed_form) = 0.06402743857463992 y[1] (numeric) = 0.06402743857463467 absolute error = 5.259681579161679e-15 relative error = 8.214730584654281e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.047000000000105 y[1] (closed_form) = 0.06399504831914465 y[1] (numeric) = 0.06399504831913939 absolute error = 5.259681579161679e-15 relative error = 8.218888362942609e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.046000000000105 y[1] (closed_form) = 0.06396268263584927 y[1] (numeric) = 0.063962682635844 absolute error = 5.273559366969494e-15 relative error = 8.244743887608324e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.045000000000105 y[1] (closed_form) = 0.06393034149990512 y[1] (numeric) = 0.06393034149989983 absolute error = 5.287437154777308e-15 relative error = 8.270622416095111e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.044000000000105 y[1] (closed_form) = 0.06389802488649494 y[1] (numeric) = 0.06389802488648967 absolute error = 5.273559366969494e-15 relative error = 8.253086658526871e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.043000000000105 y[1] (closed_form) = 0.06386573277083292 y[1] (numeric) = 0.06386573277082762 absolute error = 5.301314942585122e-15 relative error = 8.300718887243708e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.042000000000106 y[1] (closed_form) = 0.0638334651281644 y[1] (numeric) = 0.06383346512815911 absolute error = 5.287437154777308e-15 relative error = 8.283174263156837e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.041000000000106 y[1] (closed_form) = 0.06380122193376613 y[1] (numeric) = 0.06380122193376082 absolute error = 5.301314942585122e-15 relative error = 8.309111929060809e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.040000000000106 y[1] (closed_form) = 0.06376900316294595 y[1] (numeric) = 0.06376900316294065 absolute error = 5.301314942585122e-15 relative error = 8.313310040363843e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.039000000000106 y[1] (closed_form) = 0.06373680879104297 y[1] (numeric) = 0.06373680879103767 absolute error = 5.301314942585122e-15 relative error = 8.317509211929864e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.038000000000106 y[1] (closed_form) = 0.06370463879342736 y[1] (numeric) = 0.06370463879342204 absolute error = 5.315192730392937e-15 relative error = 8.343494023454577e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.037000000000106 y[1] (closed_form) = 0.06367249314550034 y[1] (numeric) = 0.06367249314549503 absolute error = 5.315192730392937e-15 relative error = 8.347706313693411e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.036000000000106 y[1] (closed_form) = 0.06364037182269421 y[1] (numeric) = 0.06364037182268889 absolute error = 5.315192730392937e-15 relative error = 8.351919666970793e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.035000000000106 y[1] (closed_form) = 0.06360827480047221 y[1] (numeric) = 0.06360827480046688 absolute error = 5.329070518200751e-15 relative error = 8.377951665749611e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.034000000000106 y[1] (closed_form) = 0.06357620205432851 y[1] (numeric) = 0.06357620205432318 absolute error = 5.329070518200751e-15 relative error = 8.382178151577596e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.033000000000106 y[1] (closed_form) = 0.06354415355978819 y[1] (numeric) = 0.06354415355978286 absolute error = 5.329070518200751e-15 relative error = 8.386405703219685e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.032000000000107 y[1] (closed_form) = 0.06351212929240715 y[1] (numeric) = 0.06351212929240183 absolute error = 5.329070518200751e-15 relative error = 8.390634320675876e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.031000000000107 y[1] (closed_form) = 0.06348012922777209 y[1] (numeric) = 0.06348012922776675 absolute error = 5.342948306008566e-15 relative error = 8.416725628956448e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.030000000000107 y[1] (closed_form) = 0.0634481533415004 y[1] (numeric) = 0.06344815334149506 absolute error = 5.342948306008566e-15 relative error = 8.420967395616589e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.029000000000107 y[1] (closed_form) = 0.06341620160924026 y[1] (numeric) = 0.06341620160923492 absolute error = 5.342948306008566e-15 relative error = 8.425210230866388e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.028000000000107 y[1] (closed_form) = 0.06338427400667042 y[1] (numeric) = 0.06338427400666508 absolute error = 5.342948306008566e-15 relative error = 8.429454134705851e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.027000000000107 y[1] (closed_form) = 0.06335237050950029 y[1] (numeric) = 0.06335237050949492 absolute error = 5.370703881624195e-15 relative error = 8.477510531068141e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.026000000000107 y[1] (closed_form) = 0.06332049109346978 y[1] (numeric) = 0.06332049109346441 absolute error = 5.370703881624195e-15 relative error = 8.481778629442869e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.025000000000107 y[1] (closed_form) = 0.06328863573434937 y[1] (numeric) = 0.063288635734344 absolute error = 5.370703881624195e-15 relative error = 8.48604780195837e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.024000000000107 y[1] (closed_form) = 0.06325680440793997 y[1] (numeric) = 0.0632568044079346 absolute error = 5.370703881624195e-15 relative error = 8.490318048614649e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.023000000000108 y[1] (closed_form) = 0.06322499709007293 y[1] (numeric) = 0.06322499709006756 absolute error = 5.370703881624195e-15 relative error = 8.494589369411705e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.022000000000108 y[1] (closed_form) = 0.06319321375660997 y[1] (numeric) = 0.06319321375660458 absolute error = 5.384581669432009e-15 relative error = 8.520822647461549e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.021000000000108 y[1] (closed_form) = 0.0631614543834431 y[1] (numeric) = 0.06316145438343772 absolute error = 5.384581669432009e-15 relative error = 8.525107159095915e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.020000000000108 y[1] (closed_form) = 0.06312971894649468 y[1] (numeric) = 0.06312971894648929 absolute error = 5.384581669432009e-15 relative error = 8.529392747646616e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.019000000000108 y[1] (closed_form) = 0.06309800742171726 y[1] (numeric) = 0.06309800742171187 absolute error = 5.384581669432009e-15 relative error = 8.533679413113651e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.018000000000108 y[1] (closed_form) = 0.0630663197850936 y[1] (numeric) = 0.0630663197850882 absolute error = 5.398459457239824e-15 relative error = 8.559972225485413e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.017000000000108 y[1] (closed_form) = 0.06303465601263658 y[1] (numeric) = 0.06303465601263118 absolute error = 5.398459457239824e-15 relative error = 8.564272098443105e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.016000000000108 y[1] (closed_form) = 0.06300301608038923 y[1] (numeric) = 0.06300301608038382 absolute error = 5.412337245047638e-15 relative error = 8.590600231172617e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.015000000000108 y[1] (closed_form) = 0.06297139996442459 y[1] (numeric) = 0.06297139996441918 absolute error = 5.412337245047638e-15 relative error = 8.594913322723195e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.014000000000109 y[1] (closed_form) = 0.06293980764084572 y[1] (numeric) = 0.06293980764084031 absolute error = 5.412337245047638e-15 relative error = 8.599227496741221e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.013000000000109 y[1] (closed_form) = 0.06290823908578567 y[1] (numeric) = 0.06290823908578025 absolute error = 5.426215032855453e-15 relative error = 8.625603119260611e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.012000000000109 y[1] (closed_form) = 0.06287669427540737 y[1] (numeric) = 0.06287669427540195 absolute error = 5.426215032855453e-15 relative error = 8.629930525749314e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.011000000000109 y[1] (closed_form) = 0.06284517318590366 y[1] (numeric) = 0.06284517318589823 absolute error = 5.426215032855453e-15 relative error = 8.634259017481023e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.010000000000109 y[1] (closed_form) = 0.0628136757934972 y[1] (numeric) = 0.06281367579349176 absolute error = 5.440092820663267e-15 relative error = 8.660682171423653e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.009000000000109 y[1] (closed_form) = 0.06278220207444041 y[1] (numeric) = 0.06278220207443495 absolute error = 5.453970608471082e-15 relative error = 8.687128562334191e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.008000000000109 y[1] (closed_form) = 0.06275075200501547 y[1] (numeric) = 0.06275075200501001 absolute error = 5.453970608471082e-15 relative error = 8.691482467070934e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.007000000000109 y[1] (closed_form) = 0.06271932556153426 y[1] (numeric) = 0.0627193255615288 absolute error = 5.453970608471082e-15 relative error = 8.695837462601799e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.006000000000109 y[1] (closed_form) = 0.06268792272033831 y[1] (numeric) = 0.06268792272033286 absolute error = 5.453970608471082e-15 relative error = 8.700193548926785e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.00500000000011 y[1] (closed_form) = 0.06265654345779877 y[1] (numeric) = 0.0626565434577933 absolute error = 5.467848396278896e-15 relative error = 8.72669971008163e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.00400000000011 y[1] (closed_form) = 0.06262518775031631 y[1] (numeric) = 0.06262518775031084 absolute error = 5.467848396278896e-15 relative error = 8.731069067735097e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.00300000000011 y[1] (closed_form) = 0.06259385557432115 y[1] (numeric) = 0.06259385557431568 absolute error = 5.467848396278896e-15 relative error = 8.735439518958241e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.00200000000011 y[1] (closed_form) = 0.06256254690627298 y[1] (numeric) = 0.0625625469062675 absolute error = 5.48172618408671e-15 relative error = 8.761993325334189e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.00100000000011 y[1] (closed_form) = 0.06253126172266092 y[1] (numeric) = 0.06253126172265543 absolute error = 5.495603971894525e-15 relative error = 8.788570421413636e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.00000000000011 y[1] (closed_form) = 0.06250000000000344 y[1] (numeric) = 0.06249999999999795 absolute error = 5.488665077990618e-15 relative error = 8.781864124784505e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 Finished! diff ( y , x , 1 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; Iterations = 1001 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 0 %