##############ECHO OF PROBLEM################# ##############temp/sing5_backpostode.ode################# diff ( y , x , 1 ) = neg ( 3.0 ) / x / x / x / x ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=20; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(-0.7); x_end=c(-1.0); 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(0.0); array_given_rad_poles[1][2]=c(0.0); array_given_ord_poles[1][1]=c(4.0); 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(x)/c(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -0.701 y[1] (closed_form) = -2.902992715801969 y[1] (numeric) = -2.902992715801969 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.702 y[1] (closed_form) = -2.890604427929612 y[1] (numeric) = -2.890604427929612 absolute error = 4.440892098500626e-16 relative error = 1.53631955157607e-14 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.703 y[1] (closed_form) = -2.878286527937843 y[1] (numeric) = -2.878286527937842 absolute error = 1.332267629550188e-15 relative error = 4.628683130114551e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.704 y[1] (closed_form) = -2.866038516622841 y[1] (numeric) = -2.866038516622839 absolute error = 1.332267629550188e-15 relative error = 4.648463800549506e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.705 y[1] (closed_form) = -2.853859899023302 y[1] (numeric) = -2.853859899023301 absolute error = 1.332267629550188e-15 relative error = 4.668300745969134e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.706 y[1] (closed_form) = -2.841750184378436 y[1] (numeric) = -2.841750184378434 absolute error = 1.77635683940025e-15 relative error = 6.25092539507932e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.707 y[1] (closed_form) = -2.829708886086427 y[1] (numeric) = -2.829708886086425 absolute error = 1.77635683940025e-15 relative error = 6.277525042008847e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.708 y[1] (closed_form) = -2.817735521663382 y[1] (numeric) = -2.81773552166338 absolute error = 2.220446049250313e-15 relative error = 7.880250052494375e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.709 y[1] (closed_form) = -2.805829612702725 y[1] (numeric) = -2.805829612702722 absolute error = 2.664535259100376e-15 relative error = 9.496425752431036e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.71 y[1] (closed_form) = -2.793990684835057 y[1] (numeric) = -2.793990684835054 absolute error = 2.664535259100376e-15 relative error = 9.536664791198744e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.711 y[1] (closed_form) = -2.782218267688465 y[1] (numeric) = -2.782218267688463 absolute error = 2.664535259100376e-15 relative error = 9.577017339168492e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.712 y[1] (closed_form) = -2.770511894849277 y[1] (numeric) = -2.770511894849274 absolute error = 3.108624468950438e-15 relative error = 1.122039748224779e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.713 y[1] (closed_form) = -2.758871103823253 y[1] (numeric) = -2.75887110382325 absolute error = 3.108624468950438e-15 relative error = 1.126774086923632e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.714 y[1] (closed_form) = -2.747295435997215 y[1] (numeric) = -2.747295435997211 absolute error = 3.552713678800501e-15 relative error = 1.293167684934815e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.715 y[1] (closed_form) = -2.735784436601103 y[1] (numeric) = -2.735784436601099 absolute error = 3.996802888650564e-15 relative error = 1.460934873076524e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.716 y[1] (closed_form) = -2.724337654670456 y[1] (numeric) = -2.724337654670453 absolute error = 3.552713678800501e-15 relative error = 1.304065108342911e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.717 y[1] (closed_form) = -2.712954643009312 y[1] (numeric) = -2.712954643009308 absolute error = 3.996802888650564e-15 relative error = 1.473228790960235e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.718 y[1] (closed_form) = -2.701634958153512 y[1] (numeric) = -2.701634958153508 absolute error = 3.996802888650564e-15 relative error = 1.479401529280722e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.719 y[1] (closed_form) = -2.690378160334427 y[1] (numeric) = -2.690378160334423 absolute error = 3.996802888650564e-15 relative error = 1.485591485828053e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.72 y[1] (closed_form) = -2.679183813443073 y[1] (numeric) = -2.679183813443069 absolute error = 3.552713678800501e-15 relative error = 1.326043275184929e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.721 y[1] (closed_form) = -2.668051484994634 y[1] (numeric) = -2.66805148499463 absolute error = 3.996802888650564e-15 relative error = 1.498023149526517e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.722 y[1] (closed_form) = -2.656980746093372 y[1] (numeric) = -2.656980746093368 absolute error = 4.440892098500626e-15 relative error = 1.671405449599206e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.723 y[1] (closed_form) = -2.645971171397924 y[1] (numeric) = -2.645971171397919 absolute error = 4.884981308350689e-15 relative error = 1.846195968102648e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.724 y[1] (closed_form) = -2.635022339086986 y[1] (numeric) = -2.635022339086981 absolute error = 4.884981308350689e-15 relative error = 1.853867132695086e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.725 y[1] (closed_form) = -2.624133830825373 y[1] (numeric) = -2.624133830825367 absolute error = 5.329070518200751e-15 relative error = 2.03079220106872e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.726 y[1] (closed_form) = -2.613305231730451 y[1] (numeric) = -2.613305231730446 absolute error = 5.329070518200751e-15 relative error = 2.039207075199556e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.727 y[1] (closed_form) = -2.602536130338945 y[1] (numeric) = -2.602536130338939 absolute error = 5.773159728050814e-15 relative error = 2.218282259658366e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.728 y[1] (closed_form) = -2.591826118574096 y[1] (numeric) = -2.59182611857409 absolute error = 5.773159728050814e-15 relative error = 2.227448703706614e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.729 y[1] (closed_form) = -2.581174791713198 y[1] (numeric) = -2.581174791713191 absolute error = 6.217248937900877e-15 relative error = 2.408689623756288e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.73 y[1] (closed_form) = -2.57058174835547 y[1] (numeric) = -2.570581748355464 absolute error = 5.773159728050814e-15 relative error = 2.245857277927144e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.731 y[1] (closed_form) = -2.560046590390301 y[1] (numeric) = -2.560046590390294 absolute error = 6.661338147750939e-15 relative error = 2.602037858512318e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.732 y[1] (closed_form) = -2.549568922965815 y[1] (numeric) = -2.549568922965809 absolute error = 6.217248937900877e-15 relative error = 2.438549074668117e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.733 y[1] (closed_form) = -2.539148354457808 y[1] (numeric) = -2.539148354457801 absolute error = 6.217248937900877e-15 relative error = 2.448556787548739e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.734 y[1] (closed_form) = -2.528784496438996 y[1] (numeric) = -2.528784496438989 absolute error = 7.105427357601002e-15 relative error = 2.809819250160217e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.735 y[1] (closed_form) = -2.518476963648618 y[1] (numeric) = -2.518476963648612 absolute error = 6.661338147750939e-15 relative error = 2.644986729638532e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.736 y[1] (closed_form) = -2.508225373962357 y[1] (numeric) = -2.50822537396235 absolute error = 7.105427357601002e-15 relative error = 2.832850441336631e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.737 y[1] (closed_form) = -2.498029348362591 y[1] (numeric) = -2.498029348362584 absolute error = 7.105427357601002e-15 relative error = 2.844413081959373e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.738 y[1] (closed_form) = -2.487888510908963 y[1] (numeric) = -2.487888510908956 absolute error = 7.105427357601002e-15 relative error = 2.856007142781891e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.739 y[1] (closed_form) = -2.47780248870928 y[1] (numeric) = -2.477802488709273 absolute error = 7.105427357601002e-15 relative error = 2.867632666436748e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.74 y[1] (closed_form) = -2.467770911890708 y[1] (numeric) = -2.4677709118907 absolute error = 7.549516567451064e-15 relative error = 3.05924530152879e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.741 y[1] (closed_form) = -2.457793413571293 y[1] (numeric) = -2.457793413571285 absolute error = 7.549516567451064e-15 relative error = 3.071664414822095e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.742 y[1] (closed_form) = -2.447869629831784 y[1] (numeric) = -2.447869629831776 absolute error = 7.549516567451064e-15 relative error = 3.084117093266059e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.743 y[1] (closed_form) = -2.437999199687755 y[1] (numeric) = -2.437999199687747 absolute error = 7.549516567451064e-15 relative error = 3.096603382157781e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.744 y[1] (closed_form) = -2.428181765062031 y[1] (numeric) = -2.428181765062023 absolute error = 7.105427357601002e-15 relative error = 2.926233719335869e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.745 y[1] (closed_form) = -2.418416970757409 y[1] (numeric) = -2.418416970757401 absolute error = 7.549516567451064e-15 relative error = 3.121676972472898e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.746 y[1] (closed_form) = -2.408704464429669 y[1] (numeric) = -2.408704464429661 absolute error = 7.993605777301127e-15 relative error = 3.318632856519343e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.747 y[1] (closed_form) = -2.399043896560876 y[1] (numeric) = -2.399043896560868 absolute error = 7.993605777301127e-15 relative error = 3.33199646274096e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.748 y[1] (closed_form) = -2.389434920432964 y[1] (numeric) = -2.389434920432956 absolute error = 7.993605777301127e-15 relative error = 3.345395896303671e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.749 y[1] (closed_form) = -2.379877192101609 y[1] (numeric) = -2.379877192101601 absolute error = 7.993605777301127e-15 relative error = 3.358831205169111e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.75 y[1] (closed_form) = -2.37037037037037 y[1] (numeric) = -2.370370370370362 absolute error = 7.993605777301127e-15 relative error = 3.372302437298913e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.751 y[1] (closed_form) = -2.360914116765113 y[1] (numeric) = -2.360914116765105 absolute error = 8.43769498715119e-15 relative error = 3.573910176246641e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.752 y[1] (closed_form) = -2.351508095508702 y[1] (numeric) = -2.351508095508694 absolute error = 7.993605777301127e-15 relative error = 3.399352863198146e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.753 y[1] (closed_form) = -2.342151973495965 y[1] (numeric) = -2.342151973495957 absolute error = 7.993605777301127e-15 relative error = 3.412932152890846e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.754 y[1] (closed_form) = -2.332845420268914 y[1] (numeric) = -2.332845420268906 absolute error = 7.993605777301127e-15 relative error = 3.426547557694448e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.755 y[1] (closed_form) = -2.323588107992243 y[1] (numeric) = -2.323588107992234 absolute error = 8.881784197001252e-15 relative error = 3.822443472856207e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.756 y[1] (closed_form) = -2.314379711429067 y[1] (numeric) = -2.314379711429058 absolute error = 8.881784197001252e-15 relative error = 3.837652116089884e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.757 y[1] (closed_form) = -2.305219907916931 y[1] (numeric) = -2.305219907916922 absolute error = 8.881784197001252e-15 relative error = 3.852901047096679e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.758 y[1] (closed_form) = -2.296108377344067 y[1] (numeric) = -2.296108377344058 absolute error = 8.43769498715119e-15 relative error = 3.674780803208933e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.759 y[1] (closed_form) = -2.287044802125902 y[1] (numeric) = -2.287044802125893 absolute error = 8.881784197001252e-15 relative error = 3.883519985592443e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.76 y[1] (closed_form) = -2.278028867181805 y[1] (numeric) = -2.278028867181796 absolute error = 8.881784197001252e-15 relative error = 3.898890099662822e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.761 y[1] (closed_form) = -2.269060259912094 y[1] (numeric) = -2.269060259912085 absolute error = 8.881784197001252e-15 relative error = 3.914300714669139e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.762 y[1] (closed_form) = -2.26013867017527 y[1] (numeric) = -2.260138670175261 absolute error = 9.325873406851315e-15 relative error = 4.126239478097204e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.763 y[1] (closed_form) = -2.251263790265493 y[1] (numeric) = -2.251263790265484 absolute error = 8.881784197001252e-15 relative error = 3.945243660652409e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.764 y[1] (closed_form) = -2.242435314890301 y[1] (numeric) = -2.242435314890292 absolute error = 8.881784197001252e-15 relative error = 3.960776098210772e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.765 y[1] (closed_form) = -2.23365294114855 y[1] (numeric) = -2.233652941148541 absolute error = 9.325873406851315e-15 relative error = 4.175166712361289e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.766 y[1] (closed_form) = -2.224916368508591 y[1] (numeric) = -2.224916368508581 absolute error = 9.325873406851315e-15 relative error = 4.191561327360205e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.767 y[1] (closed_form) = -2.216225298786674 y[1] (numeric) = -2.216225298786665 absolute error = 9.325873406851315e-15 relative error = 4.207998804073299e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.768 y[1] (closed_form) = -2.207579436125579 y[1] (numeric) = -2.207579436125569 absolute error = 9.769962616701378e-15 relative error = 4.425644874572754e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.769 y[1] (closed_form) = -2.198978486973457 y[1] (numeric) = -2.198978486973447 absolute error = 9.325873406851315e-15 relative error = 4.241002566462982e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.77 y[1] (closed_form) = -2.190422160062909 y[1] (numeric) = -2.190422160062899 absolute error = 1.021405182655144e-14 relative error = 4.663051722531008e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.771 y[1] (closed_form) = -2.181910166390266 y[1] (numeric) = -2.181910166390255 absolute error = 1.06581410364015e-14 relative error = 4.884775368196869e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.772 y[1] (closed_form) = -2.173442219195091 y[1] (numeric) = -2.17344221919508 absolute error = 1.06581410364015e-14 relative error = 4.903806939182686e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.773 y[1] (closed_form) = -2.165018033939892 y[1] (numeric) = -2.165018033939881 absolute error = 1.06581410364015e-14 relative error = 4.922887878677784e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.774 y[1] (closed_form) = -2.156637328290046 y[1] (numeric) = -2.156637328290035 absolute error = 1.110223024625157e-14 relative error = 5.147935677740633e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.775 y[1] (closed_form) = -2.148299822093921 y[1] (numeric) = -2.14829982209391 absolute error = 1.06581410364015e-14 relative error = 4.961198118991206e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.776 y[1] (closed_form) = -2.140005237363217 y[1] (numeric) = -2.140005237363207 absolute error = 1.06581410364015e-14 relative error = 4.980427547707223e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.777 y[1] (closed_form) = -2.131753298253499 y[1] (numeric) = -2.131753298253488 absolute error = 1.110223024625157e-14 relative error = 5.208027709091567e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.778 y[1] (closed_form) = -2.12354373104493 y[1] (numeric) = -2.123543731044919 absolute error = 1.110223024625157e-14 relative error = 5.228161814585519e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.779 y[1] (closed_form) = -2.115376264123206 y[1] (numeric) = -2.115376264123195 absolute error = 1.110223024625157e-14 relative error = 5.248347745290261e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.78 y[1] (closed_form) = -2.107250627960687 y[1] (numeric) = -2.107250627960676 absolute error = 1.110223024625157e-14 relative error = 5.268585567819173e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.781 y[1] (closed_form) = -2.099166555097713 y[1] (numeric) = -2.099166555097702 absolute error = 1.110223024625157e-14 relative error = 5.288875348785638e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.782 y[1] (closed_form) = -2.091123780124123 y[1] (numeric) = -2.091123780124112 absolute error = 1.110223024625157e-14 relative error = 5.309217154803037e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.783 y[1] (closed_form) = -2.083122039660948 y[1] (numeric) = -2.083122039660937 absolute error = 1.110223024625157e-14 relative error = 5.329611052484751e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.784 y[1] (closed_form) = -2.075161072342306 y[1] (numeric) = -2.075161072342295 absolute error = 1.110223024625157e-14 relative error = 5.350057108444163e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.785 y[1] (closed_form) = -2.067240618797471 y[1] (numeric) = -2.067240618797459 absolute error = 1.154631945610163e-14 relative error = 5.585377604866438e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.786 y[1] (closed_form) = -2.059360421633123 y[1] (numeric) = -2.059360421633111 absolute error = 1.154631945610163e-14 relative error = 5.606750200115585e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.787 y[1] (closed_form) = -2.05152022541579 y[1] (numeric) = -2.051520225415778 absolute error = 1.199040866595169e-14 relative error = 5.844645603492182e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.788 y[1] (closed_form) = -2.043719776654455 y[1] (numeric) = -2.043719776654443 absolute error = 1.199040866595169e-14 relative error = 5.866953387112517e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.789 y[1] (closed_form) = -2.035958823783343 y[1] (numeric) = -2.035958823783332 absolute error = 1.154631945610163e-14 relative error = 5.671194977630024e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.79 y[1] (closed_form) = -2.028237117144891 y[1] (numeric) = -2.028237117144879 absolute error = 1.154631945610163e-14 relative error = 5.692785798316892e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.791 y[1] (closed_form) = -2.020554408972873 y[1] (numeric) = -2.020554408972861 absolute error = 1.199040866595169e-14 relative error = 5.934217169656364e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.792 y[1] (closed_form) = -2.012910453375712 y[1] (numeric) = -2.0129104533757 absolute error = 1.199040866595169e-14 relative error = 5.956752147540101e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.793 y[1] (closed_form) = -2.005305006319949 y[1] (numeric) = -2.005305006319937 absolute error = 1.243449787580175e-14 relative error = 6.200801292877145e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.794 y[1] (closed_form) = -1.997737825613885 y[1] (numeric) = -1.997737825613873 absolute error = 1.221245327087672e-14 relative error = 6.11314113108108e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.795 y[1] (closed_form) = -1.990208670891382 y[1] (numeric) = -1.99020867089137 absolute error = 1.221245327087672e-14 relative error = 6.136267743928059e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.796 y[1] (closed_form) = -1.98271730359583 y[1] (numeric) = -1.982717303595818 absolute error = 1.221245327087672e-14 relative error = 6.159452610177142e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.797 y[1] (closed_form) = -1.975263486964277 y[1] (numeric) = -1.975263486964264 absolute error = 1.243449787580175e-14 relative error = 6.295108454068556e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.798 y[1] (closed_form) = -1.967846986011709 y[1] (numeric) = -1.967846986011696 absolute error = 1.265654248072678e-14 relative error = 6.431670028561599e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.799 y[1] (closed_form) = -1.960467567515499 y[1] (numeric) = -1.960467567515485 absolute error = 1.310063169057685e-14 relative error = 6.682401641144864e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8 y[1] (closed_form) = -1.953125 y[1] (numeric) = -1.953124999999987 absolute error = 1.332267629550188e-14 relative error = 6.821210263296962e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.801 y[1] (closed_form) = -1.945819053721303 y[1] (numeric) = -1.94581905372129 absolute error = 1.310063169057685e-14 relative error = 6.732708093037943e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.802 y[1] (closed_form) = -1.938549500652135 y[1] (numeric) = -1.938549500652122 absolute error = 1.310063169057685e-14 relative error = 6.757955722136445e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.803 y[1] (closed_form) = -1.93131611446692 y[1] (numeric) = -1.931316114466906 absolute error = 1.332267629550188e-14 relative error = 6.898237008279296e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.804 y[1] (closed_form) = -1.924118670526972 y[1] (numeric) = -1.924118670526958 absolute error = 1.332267629550188e-14 relative error = 6.924040860667448e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.805 y[1] (closed_form) = -1.916956945865854 y[1] (numeric) = -1.916956945865841 absolute error = 1.354472090042691e-14 relative error = 7.065740798006815e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.806 y[1] (closed_form) = -1.90983071917487 y[1] (numeric) = -1.909830719174856 absolute error = 1.354472090042691e-14 relative error = 7.092105475337009e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8070000000000001 y[1] (closed_form) = -1.902739770788698 y[1] (numeric) = -1.902739770788685 absolute error = 1.354472090042691e-14 relative error = 7.118535654937477e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8080000000000001 y[1] (closed_form) = -1.89568388267118 y[1] (numeric) = -1.895683882671166 absolute error = 1.398881011027697e-14 relative error = 7.37929474325938e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8090000000000001 y[1] (closed_form) = -1.888662838401234 y[1] (numeric) = -1.888662838401221 absolute error = 1.354472090042691e-14 relative error = 7.171592846022537e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8100000000000001 y[1] (closed_form) = -1.88167642315892 y[1] (numeric) = -1.881676423158906 absolute error = 1.376676550535194e-14 relative error = 7.316223626929743e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8110000000000001 y[1] (closed_form) = -1.874724423711633 y[1] (numeric) = -1.874724423711619 absolute error = 1.398881011027697e-14 relative error = 7.461795415553142e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8120000000000001 y[1] (closed_form) = -1.867806628400439 y[1] (numeric) = -1.867806628400425 absolute error = 1.398881011027697e-14 relative error = 7.489431666840575e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8130000000000001 y[1] (closed_form) = -1.860922827126539 y[1] (numeric) = -1.860922827126524 absolute error = 1.4210854715202e-14 relative error = 7.636455691795164e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8140000000000001 y[1] (closed_form) = -1.854072811337871 y[1] (numeric) = -1.854072811337857 absolute error = 1.4210854715202e-14 relative error = 7.664669169571427e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8150000000000001 y[1] (closed_form) = -1.847256374015845 y[1] (numeric) = -1.847256374015831 absolute error = 1.4210854715202e-14 relative error = 7.692952053162118e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8160000000000001 y[1] (closed_form) = -1.840473309662196 y[1] (numeric) = -1.840473309662182 absolute error = 1.4210854715202e-14 relative error = 7.721304427832366e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8170000000000001 y[1] (closed_form) = -1.833723414285981 y[1] (numeric) = -1.833723414285967 absolute error = 1.443289932012704e-14 relative error = 7.870815853516789e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8180000000000001 y[1] (closed_form) = -1.827006485390693 y[1] (numeric) = -1.827006485390679 absolute error = 1.4210854715202e-14 relative error = 7.77821799147205e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8190000000000001 y[1] (closed_form) = -1.820322321961504 y[1] (numeric) = -1.82032232196149 absolute error = 1.4210854715202e-14 relative error = 7.80677935097174e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8200000000000001 y[1] (closed_form) = -1.813670724452634 y[1] (numeric) = -1.813670724452619 absolute error = 1.443289932012704e-14 relative error = 7.957838832339805e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8210000000000001 y[1] (closed_form) = -1.807051494774835 y[1] (numeric) = -1.807051494774821 absolute error = 1.443289932012704e-14 relative error = 7.986988396213593e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8220000000000001 y[1] (closed_form) = -1.800464436283011 y[1] (numeric) = -1.800464436282996 absolute error = 1.443289932012704e-14 relative error = 8.01620905654943e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8230000000000001 y[1] (closed_form) = -1.793909353763941 y[1] (numeric) = -1.793909353763927 absolute error = 1.4210854715202e-14 relative error = 7.921723963022489e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8240000000000001 y[1] (closed_form) = -1.787386053424139 y[1] (numeric) = -1.787386053424125 absolute error = 1.443289932012704e-14 relative error = 8.074864012996843e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8250000000000001 y[1] (closed_form) = -1.780894342877813 y[1] (numeric) = -1.780894342877799 absolute error = 1.443289932012704e-14 relative error = 8.104298482303209e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8260000000000001 y[1] (closed_form) = -1.774434031134957 y[1] (numeric) = -1.774434031134943 absolute error = 1.465494392505207e-14 relative error = 8.25893984668369e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8270000000000001 y[1] (closed_form) = -1.768004928589547 y[1] (numeric) = -1.768004928589532 absolute error = 1.465494392505207e-14 relative error = 8.288972325853908e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8280000000000001 y[1] (closed_form) = -1.761606847007855 y[1] (numeric) = -1.761606847007841 absolute error = 1.465494392505207e-14 relative error = 8.31907752285588e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8290000000000001 y[1] (closed_form) = -1.755239599516879 y[1] (numeric) = -1.755239599516865 absolute error = 1.465494392505207e-14 relative error = 8.349255525619273e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8300000000000001 y[1] (closed_form) = -1.748903000592878 y[1] (numeric) = -1.748903000592863 absolute error = 1.48769885299771e-14 relative error = 8.506468640590017e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8310000000000001 y[1] (closed_form) = -1.742596866050017 y[1] (numeric) = -1.742596866050002 absolute error = 1.509903313490213e-14 relative error = 8.664673642577727e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8320000000000001 y[1] (closed_form) = -1.73632101302913 y[1] (numeric) = -1.736321013029115 absolute error = 1.509903313490213e-14 relative error = 8.695991709828379e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8330000000000001 y[1] (closed_form) = -1.730075259986584 y[1] (numeric) = -1.730075259986568 absolute error = 1.532107773982716e-14 relative error = 8.855729050738504e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8340000000000001 y[1] (closed_form) = -1.723859426683244 y[1] (numeric) = -1.723859426683229 absolute error = 1.509903313490213e-14 relative error = 8.758854058044111e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8350000000000001 y[1] (closed_form) = -1.717673334173561 y[1] (numeric) = -1.717673334173546 absolute error = 1.532107773982716e-14 relative error = 8.91966908667108e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8360000000000001 y[1] (closed_form) = -1.711516804794744 y[1] (numeric) = -1.711516804794729 absolute error = 1.509903313490213e-14 relative error = 8.822018628507071e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8370000000000001 y[1] (closed_form) = -1.705389662156049 y[1] (numeric) = -1.705389662156033 absolute error = 1.532107773982716e-14 relative error = 8.983916157001561e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8380000000000001 y[1] (closed_form) = -1.699291731128165 y[1] (numeric) = -1.69929173112815 absolute error = 1.532107773982716e-14 relative error = 9.016155059882182e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8390000000000001 y[1] (closed_form) = -1.693222837832705 y[1] (numeric) = -1.693222837832689 absolute error = 1.532107773982716e-14 relative error = 9.048470997141681e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8400000000000001 y[1] (closed_form) = -1.687182809631789 y[1] (numeric) = -1.687182809631773 absolute error = 1.554312234475219e-14 relative error = 9.212470786224005e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8410000000000001 y[1] (closed_form) = -1.681171475117734 y[1] (numeric) = -1.681171475117719 absolute error = 1.532107773982716e-14 relative error = 9.113334342503168e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8420000000000001 y[1] (closed_form) = -1.675188664102841 y[1] (numeric) = -1.675188664102826 absolute error = 1.532107773982716e-14 relative error = 9.145881934458092e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8430000000000001 y[1] (closed_form) = -1.669234207609272 y[1] (numeric) = -1.669234207609256 absolute error = 1.554312234475219e-14 relative error = 9.311528768041201e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8440000000000001 y[1] (closed_form) = -1.663307937859028 y[1] (numeric) = -1.663307937859013 absolute error = 1.509903313490213e-14 relative error = 9.077713627902999e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8450000000000001 y[1] (closed_form) = -1.657409688264027 y[1] (numeric) = -1.657409688264011 absolute error = 1.532107773982716e-14 relative error = 9.243989490537177e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8460000000000001 y[1] (closed_form) = -1.651539293416262 y[1] (numeric) = -1.651539293416247 absolute error = 1.554312234475219e-14 relative error = 9.411294303873776e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8470000000000001 y[1] (closed_form) = -1.645696589078068 y[1] (numeric) = -1.645696589078052 absolute error = 1.576516694967722e-14 relative error = 9.579631539802238e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8480000000000001 y[1] (closed_form) = -1.639881412172464 y[1] (numeric) = -1.639881412172449 absolute error = 1.554312234475219e-14 relative error = 9.47819899010938e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8490000000000001 y[1] (closed_form) = -1.634093600773602 y[1] (numeric) = -1.634093600773586 absolute error = 1.576516694967722e-14 relative error = 9.647652339017656e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8500000000000001 y[1] (closed_form) = -1.628332994097292 y[1] (numeric) = -1.628332994097277 absolute error = 1.554312234475219e-14 relative error = 9.545420009970944e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8510000000000001 y[1] (closed_form) = -1.62259943249163 y[1] (numeric) = -1.622599432491614 absolute error = 1.598721155460225e-14 relative error = 9.852839360391387e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8520000000000001 y[1] (closed_form) = -1.616892757427694 y[1] (numeric) = -1.616892757427679 absolute error = 1.576516694967722e-14 relative error = 9.750286082521601e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8530000000000001 y[1] (closed_form) = -1.611212811490355 y[1] (numeric) = -1.611212811490339 absolute error = 1.576516694967722e-14 relative error = 9.784658387301807e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8540000000000001 y[1] (closed_form) = -1.605559438369143 y[1] (numeric) = -1.605559438369127 absolute error = 1.598721155460225e-14 relative error = 9.957408721561481e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8550000000000001 y[1] (closed_form) = -1.599932482849223 y[1] (numeric) = -1.599932482849207 absolute error = 1.598721155460225e-14 relative error = 9.992428884331164e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8560000000000001 y[1] (closed_form) = -1.594331790802445 y[1] (numeric) = -1.594331790802429 absolute error = 1.576516694967722e-14 relative error = 9.888259796753123e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8570000000000001 y[1] (closed_form) = -1.588757209178473 y[1] (numeric) = -1.588757209178457 absolute error = 1.598721155460225e-14 relative error = 1.006271534897963e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8580000000000001 y[1] (closed_form) = -1.583208585996008 y[1] (numeric) = -1.583208585995992 absolute error = 1.598721155460225e-14 relative error = 1.009798184270494e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8590000000000001 y[1] (closed_form) = -1.577685770334083 y[1] (numeric) = -1.577685770334067 absolute error = 1.620925615952729e-14 relative error = 1.027407134190917e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8600000000000001 y[1] (closed_form) = -1.572188612323443 y[1] (numeric) = -1.572188612323427 absolute error = 1.598721155460225e-14 relative error = 1.01687618325741e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8610000000000001 y[1] (closed_form) = -1.566716963138005 y[1] (numeric) = -1.566716963137989 absolute error = 1.598721155460225e-14 relative error = 1.020427552056447e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8620000000000001 y[1] (closed_form) = -1.561270674986398 y[1] (numeric) = -1.561270674986383 absolute error = 1.598721155460225e-14 relative error = 1.023987179848973e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8630000000000001 y[1] (closed_form) = -1.555849601103577 y[1] (numeric) = -1.555849601103561 absolute error = 1.598721155460225e-14 relative error = 1.027555076227316e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8640000000000001 y[1] (closed_form) = -1.550453595742518 y[1] (numeric) = -1.550453595742502 absolute error = 1.598721155460225e-14 relative error = 1.031131250783801e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8650000000000001 y[1] (closed_form) = -1.545082514165992 y[1] (numeric) = -1.545082514165976 absolute error = 1.598721155460225e-14 relative error = 1.034715713110757e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8660000000000001 y[1] (closed_form) = -1.539736212638408 y[1] (numeric) = -1.539736212638392 absolute error = 1.598721155460225e-14 relative error = 1.038308472800509e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8670000000000001 y[1] (closed_form) = -1.534414548417739 y[1] (numeric) = -1.534414548417723 absolute error = 1.598721155460225e-14 relative error = 1.041909539445385e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8680000000000001 y[1] (closed_form) = -1.529117379747517 y[1] (numeric) = -1.529117379747501 absolute error = 1.620925615952729e-14 relative error = 1.060040018785458e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8690000000000001 y[1] (closed_form) = -1.523844565848903 y[1] (numeric) = -1.523844565848887 absolute error = 1.598721155460225e-14 relative error = 1.049136631969816e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8700000000000001 y[1] (closed_form) = -1.518595966912831 y[1] (numeric) = -1.518595966912814 absolute error = 1.620925615952729e-14 relative error = 1.06738438088172e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8710000000000001 y[1] (closed_form) = -1.513371444092219 y[1] (numeric) = -1.513371444092203 absolute error = 1.598721155460225e-14 relative error = 1.056397067422666e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8720000000000001 y[1] (closed_form) = -1.508170859494265 y[1] (numeric) = -1.508170859494249 absolute error = 1.598721155460225e-14 relative error = 1.060039812728065e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8730000000000001 y[1] (closed_form) = -1.502994076172794 y[1] (numeric) = -1.502994076172778 absolute error = 1.620925615952729e-14 relative error = 1.078464407577862e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8740000000000001 y[1] (closed_form) = -1.49784095812069 y[1] (numeric) = -1.497840958120674 absolute error = 1.643130076445232e-14 relative error = 1.096999028860069e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8750000000000001 y[1] (closed_form) = -1.49271137026239 y[1] (numeric) = -1.492711370262374 absolute error = 1.643130076445232e-14 relative error = 1.100768781681083e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8760000000000001 y[1] (closed_form) = -1.487605178446452 y[1] (numeric) = -1.487605178446436 absolute error = 1.643130076445232e-14 relative error = 1.104547160934999e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8770000000000001 y[1] (closed_form) = -1.482522249438184 y[1] (numeric) = -1.482522249438167 absolute error = 1.643130076445232e-14 relative error = 1.108334176480597e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8780000000000001 y[1] (closed_form) = -1.477462450912344 y[1] (numeric) = -1.477462450912327 absolute error = 1.643130076445232e-14 relative error = 1.112129838176657e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8790000000000001 y[1] (closed_form) = -1.472425651445906 y[1] (numeric) = -1.47242565144589 absolute error = 1.643130076445232e-14 relative error = 1.11593415588196e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8800000000000001 y[1] (closed_form) = -1.467411720510893 y[1] (numeric) = -1.467411720510877 absolute error = 1.665334536937735e-14 relative error = 1.134878857556033e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8810000000000001 y[1] (closed_form) = -1.462420528467272 y[1] (numeric) = -1.462420528467255 absolute error = 1.665334536937735e-14 relative error = 1.138752160900758e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8820000000000001 y[1] (closed_form) = -1.457451946555913 y[1] (numeric) = -1.457451946555896 absolute error = 1.687538997430238e-14 relative error = 1.157869390766564e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8830000000000001 y[1] (closed_form) = -1.452505846891617 y[1] (numeric) = -1.4525058468916 absolute error = 1.709743457922741e-14 relative error = 1.177099191429499e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8840000000000001 y[1] (closed_form) = -1.447582102456201 y[1] (numeric) = -1.447582102456184 absolute error = 1.687538997430238e-14 relative error = 1.165763927701847e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8850000000000001 y[1] (closed_form) = -1.442680587091651 y[1] (numeric) = -1.442680587091634 absolute error = 1.687538997430238e-14 relative error = 1.169724617167134e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8860000000000001 y[1] (closed_form) = -1.43780117549333 y[1] (numeric) = -1.437801175493312 absolute error = 1.709743457922741e-14 relative error = 1.189137613089031e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8870000000000001 y[1] (closed_form) = -1.432943743203252 y[1] (numeric) = -1.432943743203235 absolute error = 1.731947918415244e-14 relative error = 1.208664280527572e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8880000000000001 y[1] (closed_form) = -1.428108166603418 y[1] (numeric) = -1.428108166603401 absolute error = 1.731947918415244e-14 relative error = 1.212756819768402e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8890000000000001 y[1] (closed_form) = -1.423294322909207 y[1] (numeric) = -1.42329432290919 absolute error = 1.731947918415244e-14 relative error = 1.216858586827741e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8900000000000001 y[1] (closed_form) = -1.418502090162829 y[1] (numeric) = -1.418502090162812 absolute error = 1.731947918415244e-14 relative error = 1.220969592097277e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8910000000000001 y[1] (closed_form) = -1.413731347226837 y[1] (numeric) = -1.41373134722682 absolute error = 1.709743457922741e-14 relative error = 1.209383565892175e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8920000000000001 y[1] (closed_form) = -1.408981973777695 y[1] (numeric) = -1.408981973777678 absolute error = 1.731947918415244e-14 relative error = 1.229219358833689e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8930000000000001 y[1] (closed_form) = -1.404253850299408 y[1] (numeric) = -1.404253850299391 absolute error = 1.709743457922741e-14 relative error = 1.21754585722389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8940000000000001 y[1] (closed_form) = -1.399546858077204 y[1] (numeric) = -1.399546858077186 absolute error = 1.731947918415244e-14 relative error = 1.237506203111139e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8950000000000001 y[1] (closed_form) = -1.394860879191273 y[1] (numeric) = -1.394860879191256 absolute error = 1.731947918415244e-14 relative error = 1.241663555306972e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8960000000000001 y[1] (closed_form) = -1.390195796510568 y[1] (numeric) = -1.390195796510551 absolute error = 1.731947918415244e-14 relative error = 1.245830208063126e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8970000000000001 y[1] (closed_form) = -1.385551493686651 y[1] (numeric) = -1.385551493686634 absolute error = 1.687538997430238e-14 relative error = 1.217954731469462e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8980000000000001 y[1] (closed_form) = -1.380927855147605 y[1] (numeric) = -1.380927855147588 absolute error = 1.687538997430238e-14 relative error = 1.222032701519994e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8990000000000001 y[1] (closed_form) = -1.376324766091988 y[1] (numeric) = -1.376324766091971 absolute error = 1.709743457922741e-14 relative error = 1.24225291882052e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9000000000000001 y[1] (closed_form) = -1.371742112482853 y[1] (numeric) = -1.371742112482836 absolute error = 1.709743457922741e-14 relative error = 1.246402980825679e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9010000000000001 y[1] (closed_form) = -1.36717978104181 y[1] (numeric) = -1.367179781041793 absolute error = 1.731947918415244e-14 relative error = 1.26680334395779e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9020000000000001 y[1] (closed_form) = -1.36263765924315 y[1] (numeric) = -1.362637659243134 absolute error = 1.687538997430238e-14 relative error = 1.238435607575639e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9030000000000001 y[1] (closed_form) = -1.358115635308016 y[1] (numeric) = -1.358115635307999 absolute error = 1.709743457922741e-14 relative error = 1.258908603563037e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9040000000000001 y[1] (closed_form) = -1.353613598198623 y[1] (numeric) = -1.353613598198606 absolute error = 1.731947918415244e-14 relative error = 1.279499497286452e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9050000000000001 y[1] (closed_form) = -1.349131437612536 y[1] (numeric) = -1.349131437612519 absolute error = 1.731947918415244e-14 relative error = 1.283750322711442e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9060000000000001 y[1] (closed_form) = -1.344669043976992 y[1] (numeric) = -1.344669043976974 absolute error = 1.731947918415244e-14 relative error = 1.288010552613628e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9070000000000001 y[1] (closed_form) = -1.340226308443277 y[1] (numeric) = -1.340226308443259 absolute error = 1.754152378907747e-14 relative error = 1.308847892222965e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9080000000000001 y[1] (closed_form) = -1.335803122881149 y[1] (numeric) = -1.335803122881131 absolute error = 1.754152378907747e-14 relative error = 1.313181822126808e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9090000000000001 y[1] (closed_form) = -1.331399379873311 y[1] (numeric) = -1.331399379873294 absolute error = 1.754152378907747e-14 relative error = 1.317525308652812e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9100000000000001 y[1] (closed_form) = -1.327014972709937 y[1] (numeric) = -1.327014972709919 absolute error = 1.754152378907747e-14 relative error = 1.321878362325891e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9110000000000001 y[1] (closed_form) = -1.322649795383233 y[1] (numeric) = -1.322649795383215 absolute error = 1.77635683940025e-14 relative error = 1.343028854350337e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9120000000000001 y[1] (closed_form) = -1.318303742582062 y[1] (numeric) = -1.318303742582045 absolute error = 1.731947918415244e-14 relative error = 1.313770007982385e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9130000000000001 y[1] (closed_form) = -1.31397670968661 y[1] (numeric) = -1.313976709686592 absolute error = 1.754152378907747e-14 relative error = 1.334995031476716e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9140000000000001 y[1] (closed_form) = -1.309668592763087 y[1] (numeric) = -1.30966859276307 absolute error = 1.77635683940025e-14 relative error = 1.356340717961758e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9150000000000001 y[1] (closed_form) = -1.305379288558497 y[1] (numeric) = -1.305379288558479 absolute error = 1.77635683940025e-14 relative error = 1.360797474703191e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9160000000000001 y[1] (closed_form) = -1.301108694495431 y[1] (numeric) = -1.301108694495414 absolute error = 1.77635683940025e-14 relative error = 1.365263983643672e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9170000000000001 y[1] (closed_form) = -1.296856708666922 y[1] (numeric) = -1.296856708666905 absolute error = 1.731947918415244e-14 relative error = 1.33549674905531e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9180000000000001 y[1] (closed_form) = -1.292623229831336 y[1] (numeric) = -1.292623229831318 absolute error = 1.754152378907747e-14 relative error = 1.357048471994916e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9190000000000002 y[1] (closed_form) = -1.288408157407308 y[1] (numeric) = -1.28840815740729 absolute error = 1.77635683940025e-14 relative error = 1.378722130240818e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9200000000000002 y[1] (closed_form) = -1.284211391468726 y[1] (numeric) = -1.284211391468709 absolute error = 1.754152378907747e-14 relative error = 1.365937407626917e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9210000000000002 y[1] (closed_form) = -1.280032832739757 y[1] (numeric) = -1.280032832739739 absolute error = 1.77635683940025e-14 relative error = 1.387743184366742e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9220000000000002 y[1] (closed_form) = -1.27587238258991 y[1] (numeric) = -1.275872382589893 absolute error = 1.77635683940025e-14 relative error = 1.392268430322475e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9230000000000002 y[1] (closed_form) = -1.271729943029156 y[1] (numeric) = -1.271729943029138 absolute error = 1.77635683940025e-14 relative error = 1.396803503084244e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9240000000000002 y[1] (closed_form) = -1.267605416703071 y[1] (numeric) = -1.267605416703054 absolute error = 1.77635683940025e-14 relative error = 1.401348413310189e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9250000000000002 y[1] (closed_form) = -1.263498706888042 y[1] (numeric) = -1.263498706888023 absolute error = 1.820765760385257e-14 relative error = 1.441050750949913e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9260000000000002 y[1] (closed_form) = -1.259409717486491 y[1] (numeric) = -1.259409717486473 absolute error = 1.820765760385257e-14 relative error = 1.445729483506853e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9270000000000002 y[1] (closed_form) = -1.255338353022166 y[1] (numeric) = -1.255338353022148 absolute error = 1.798561299892754e-14 relative error = 1.432730303796426e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9280000000000002 y[1] (closed_form) = -1.25128451863545 y[1] (numeric) = -1.251284518635432 absolute error = 1.820765760385257e-14 relative error = 1.455117308069021e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9290000000000002 y[1] (closed_form) = -1.247248120078722 y[1] (numeric) = -1.247248120078704 absolute error = 1.820765760385257e-14 relative error = 1.459826421923439e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9300000000000002 y[1] (closed_form) = -1.243229063711759 y[1] (numeric) = -1.243229063711741 absolute error = 1.798561299892754e-14 relative error = 1.446685371497837e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9310000000000002 y[1] (closed_form) = -1.239227256497169 y[1] (numeric) = -1.239227256497151 absolute error = 1.84297022087776e-14 relative error = 1.487193096516571e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9320000000000002 y[1] (closed_form) = -1.235242605995871 y[1] (numeric) = -1.235242605995853 absolute error = 1.84297022087776e-14 relative error = 1.491990489910223e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9330000000000002 y[1] (closed_form) = -1.23127502036261 y[1] (numeric) = -1.231275020362592 absolute error = 1.84297022087776e-14 relative error = 1.49679818919335e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9340000000000002 y[1] (closed_form) = -1.227324408341513 y[1] (numeric) = -1.227324408341494 absolute error = 1.84297022087776e-14 relative error = 1.501616205423773e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9350000000000002 y[1] (closed_form) = -1.223390679261677 y[1] (numeric) = -1.223390679261658 absolute error = 1.865174681370263e-14 relative error = 1.524594483992559e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9360000000000002 y[1] (closed_form) = -1.219473743032804 y[1] (numeric) = -1.219473743032786 absolute error = 1.84297022087776e-14 relative error = 1.511283232957795e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9370000000000002 y[1] (closed_form) = -1.215573510140866 y[1] (numeric) = -1.215573510140847 absolute error = 1.887379141862766e-14 relative error = 1.552665574000579e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9380000000000002 y[1] (closed_form) = -1.211689891643807 y[1] (numeric) = -1.211689891643788 absolute error = 1.865174681370263e-14 relative error = 1.539316861709495e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9390000000000002 y[1] (closed_form) = -1.207822799167286 y[1] (numeric) = -1.207822799167267 absolute error = 1.865174681370263e-14 relative error = 1.54424530043329e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9400000000000002 y[1] (closed_form) = -1.203972144900455 y[1] (numeric) = -1.203972144900436 absolute error = 1.887379141862766e-14 relative error = 1.567626917164945e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9410000000000002 y[1] (closed_form) = -1.200137841591768 y[1] (numeric) = -1.200137841591749 absolute error = 1.887379141862766e-14 relative error = 1.572635306090754e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9420000000000002 y[1] (closed_form) = -1.196319802544832 y[1] (numeric) = -1.196319802544813 absolute error = 1.887379141862766e-14 relative error = 1.577654351159198e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9430000000000002 y[1] (closed_form) = -1.19251794161429 y[1] (numeric) = -1.192517941614271 absolute error = 1.887379141862766e-14 relative error = 1.582684063694551e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9440000000000002 y[1] (closed_form) = -1.188732173201739 y[1] (numeric) = -1.18873217320172 absolute error = 1.887379141862766e-14 relative error = 1.58772445502109e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9450000000000002 y[1] (closed_form) = -1.184962412251681 y[1] (numeric) = -1.184962412251662 absolute error = 1.865174681370263e-14 relative error = 1.574037000739993e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9460000000000002 y[1] (closed_form) = -1.181208574247515 y[1] (numeric) = -1.181208574247496 absolute error = 1.887379141862766e-14 relative error = 1.59783731934482e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9470000000000002 y[1] (closed_form) = -1.177470575207551 y[1] (numeric) = -1.177470575207532 absolute error = 1.887379141862766e-14 relative error = 1.602909814990562e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9480000000000002 y[1] (closed_form) = -1.173748331681071 y[1] (numeric) = -1.173748331681052 absolute error = 1.887379141862766e-14 relative error = 1.607993034724587e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9490000000000002 y[1] (closed_form) = -1.17004176074441 y[1] (numeric) = -1.170041760744391 absolute error = 1.887379141862766e-14 relative error = 1.613086989871172e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9500000000000002 y[1] (closed_form) = -1.166350779997083 y[1] (numeric) = -1.166350779997064 absolute error = 1.887379141862766e-14 relative error = 1.61819169175459e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9510000000000002 y[1] (closed_form) = -1.162675307557935 y[1] (numeric) = -1.162675307557916 absolute error = 1.909583602355269e-14 relative error = 1.642404882895577e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9520000000000002 y[1] (closed_form) = -1.159015262061324 y[1] (numeric) = -1.159015262061305 absolute error = 1.909583602355269e-14 relative error = 1.647591420805839e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9530000000000002 y[1] (closed_form) = -1.155370562653344 y[1] (numeric) = -1.155370562653324 absolute error = 1.931788062847772e-14 relative error = 1.67200734144668e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9540000000000002 y[1] (closed_form) = -1.151741128988068 y[1] (numeric) = -1.151741128988049 absolute error = 1.909583602355269e-14 relative error = 1.657997230708475e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9550000000000002 y[1] (closed_form) = -1.148126881223834 y[1] (numeric) = -1.148126881223815 absolute error = 1.909583602355269e-14 relative error = 1.663216525615853e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9560000000000002 y[1] (closed_form) = -1.144527740019553 y[1] (numeric) = -1.144527740019534 absolute error = 1.909583602355269e-14 relative error = 1.668446762437271e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9570000000000002 y[1] (closed_form) = -1.140943626531052 y[1] (numeric) = -1.140943626531033 absolute error = 1.909583602355269e-14 relative error = 1.673687952630233e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9580000000000002 y[1] (closed_form) = -1.137374462407449 y[1] (numeric) = -1.137374462407429 absolute error = 1.931788062847772e-14 relative error = 1.698462667043544e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9590000000000002 y[1] (closed_form) = -1.133820169787552 y[1] (numeric) = -1.133820169787532 absolute error = 1.931788062847772e-14 relative error = 1.703786997553359e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9600000000000002 y[1] (closed_form) = -1.130280671296296 y[1] (numeric) = -1.130280671296276 absolute error = 1.931788062847772e-14 relative error = 1.709122443571688e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9610000000000002 y[1] (closed_form) = -1.126755890041204 y[1] (numeric) = -1.126755890041184 absolute error = 1.931788062847772e-14 relative error = 1.714469016689258e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9620000000000002 y[1] (closed_form) = -1.123245749608879 y[1] (numeric) = -1.123245749608859 absolute error = 1.953992523340276e-14 relative error = 1.739594851812854e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9630000000000002 y[1] (closed_form) = -1.119750174061525 y[1] (numeric) = -1.119750174061505 absolute error = 1.953992523340276e-14 relative error = 1.74502542495958e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9640000000000002 y[1] (closed_form) = -1.116269087933498 y[1] (numeric) = -1.116269087933479 absolute error = 1.953992523340276e-14 relative error = 1.750467288275105e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9650000000000002 y[1] (closed_form) = -1.112802416227886 y[1] (numeric) = -1.112802416227866 absolute error = 1.931788062847772e-14 relative error = 1.735966811966529e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9660000000000002 y[1] (closed_form) = -1.10935008441311 y[1] (numeric) = -1.10935008441309 absolute error = 1.976196983832779e-14 relative error = 1.781400670175516e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9670000000000002 y[1] (closed_form) = -1.105912018419566 y[1] (numeric) = -1.105912018419546 absolute error = 1.953992523340276e-14 relative error = 1.766860736474031e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9680000000000002 y[1] (closed_form) = -1.102488144636283 y[1] (numeric) = -1.102488144636264 absolute error = 1.953992523340276e-14 relative error = 1.772347877704307e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9690000000000002 y[1] (closed_form) = -1.099078389907618 y[1] (numeric) = -1.099078389907598 absolute error = 1.976196983832779e-14 relative error = 1.798049167356376e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9700000000000002 y[1] (closed_form) = -1.095682681529967 y[1] (numeric) = -1.095682681529947 absolute error = 1.998401444325282e-14 relative error = 1.823887041396689e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9710000000000002 y[1] (closed_form) = -1.092300947248515 y[1] (numeric) = -1.092300947248495 absolute error = 1.998401444325282e-14 relative error = 1.82953374650019e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9720000000000002 y[1] (closed_form) = -1.088933115254004 y[1] (numeric) = -1.088933115253985 absolute error = 1.976196983832779e-14 relative error = 1.814801071020612e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9730000000000002 y[1] (closed_form) = -1.085579114179535 y[1] (numeric) = -1.085579114179516 absolute error = 1.976196983832779e-14 relative error = 1.820408073460734e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9740000000000002 y[1] (closed_form) = -1.082238873097388 y[1] (numeric) = -1.082238873097368 absolute error = 1.998401444325282e-14 relative error = 1.846543765893217e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9750000000000002 y[1] (closed_form) = -1.078912321515871 y[1] (numeric) = -1.078912321515851 absolute error = 1.998401444325282e-14 relative error = 1.852237113686429e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9760000000000002 y[1] (closed_form) = -1.075599389376202 y[1] (numeric) = -1.075599389376183 absolute error = 1.976196983832779e-14 relative error = 1.837298350437779e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9770000000000002 y[1] (closed_form) = -1.072300007049407 y[1] (numeric) = -1.072300007049387 absolute error = 1.976196983832779e-14 relative error = 1.842951572172959e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9780000000000002 y[1] (closed_form) = -1.069014105333243 y[1] (numeric) = -1.069014105333223 absolute error = 1.998401444325282e-14 relative error = 1.869387348918396e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9790000000000002 y[1] (closed_form) = -1.065741615449158 y[1] (numeric) = -1.065741615449138 absolute error = 1.998401444325282e-14 relative error = 1.875127531247857e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9800000000000002 y[1] (closed_form) = -1.06248246903926 y[1] (numeric) = -1.06248246903924 absolute error = 2.020605904817785e-14 relative error = 1.901778112767262e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9810000000000002 y[1] (closed_form) = -1.059236598163325 y[1] (numeric) = -1.059236598163305 absolute error = 1.998401444325282e-14 relative error = 1.88664312372744e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9820000000000002 y[1] (closed_form) = -1.056003935295816 y[1] (numeric) = -1.056003935295796 absolute error = 1.998401444325282e-14 relative error = 1.892418557858379e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9830000000000002 y[1] (closed_form) = -1.052784413322941 y[1] (numeric) = -1.052784413322921 absolute error = 2.020605904817785e-14 relative error = 1.919296941754746e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9840000000000002 y[1] (closed_form) = -1.049577965539718 y[1] (numeric) = -1.049577965539698 absolute error = 1.998401444325282e-14 relative error = 1.904004761854595e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9850000000000002 y[1] (closed_form) = -1.04638452564708 y[1] (numeric) = -1.04638452564706 absolute error = 1.998401444325282e-14 relative error = 1.90981555570069e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9860000000000002 y[1] (closed_form) = -1.043204027748993 y[1] (numeric) = -1.043204027748973 absolute error = 1.998401444325282e-14 relative error = 1.915638160099321e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9870000000000002 y[1] (closed_form) = -1.040036406349599 y[1] (numeric) = -1.040036406349579 absolute error = 1.998401444325282e-14 relative error = 1.921472587040897e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9880000000000002 y[1] (closed_form) = -1.036881596350388 y[1] (numeric) = -1.036881596350369 absolute error = 1.976196983832779e-14 relative error = 1.905904194643428e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9890000000000002 y[1] (closed_form) = -1.033739533047385 y[1] (numeric) = -1.033739533047366 absolute error = 1.976196983832779e-14 relative error = 1.911697212553244e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9900000000000002 y[1] (closed_form) = -1.030610152128364 y[1] (numeric) = -1.030610152128344 absolute error = 1.998401444325282e-14 relative error = 1.939046923027377e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9910000000000002 y[1] (closed_form) = -1.027493389670083 y[1] (numeric) = -1.027493389670063 absolute error = 1.976196983832779e-14 relative error = 1.923318440488765e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9920000000000002 y[1] (closed_form) = -1.024389182135544 y[1] (numeric) = -1.024389182135524 absolute error = 1.953992523340276e-14 relative error = 1.90747086890042e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9930000000000002 y[1] (closed_form) = -1.02129746637127 y[1] (numeric) = -1.021297466371251 absolute error = 1.953992523340276e-14 relative error = 1.913245247031627e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9940000000000002 y[1] (closed_form) = -1.018218179604612 y[1] (numeric) = -1.018218179604592 absolute error = 1.931788062847772e-14 relative error = 1.89722409356108e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9950000000000002 y[1] (closed_form) = -1.015151259441065 y[1] (numeric) = -1.015151259441045 absolute error = 1.931788062847772e-14 relative error = 1.902955884536263e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9960000000000002 y[1] (closed_form) = -1.012096643861619 y[1] (numeric) = -1.012096643861599 absolute error = 1.931788062847772e-14 relative error = 1.908699208286181e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9970000000000002 y[1] (closed_form) = -1.009054271220123 y[1] (numeric) = -1.009054271220103 absolute error = 1.953992523340276e-14 relative error = 1.936459295670546e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9980000000000002 y[1] (closed_form) = -1.006024080240673 y[1] (numeric) = -1.006024080240654 absolute error = 1.931788062847772e-14 relative error = 1.920220500473137e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9990000000000002 y[1] (closed_form) = -1.00300601001502 y[1] (numeric) = -1.003006010015001 absolute error = 1.953992523340276e-14 relative error = 1.948136405793833e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 Finished! diff ( y , x , 1 ) = neg ( 3.0 ) / x / x / x / x ; Iterations = 300 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 %