##############ECHO OF PROBLEM################# ##############temp/sub_lin_linpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) - ( 0.3 * x + 0.1 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(0.1); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; /* 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(-0.2) * c(x) * c(x) / c(2.0) + c(0.1) * c(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (closed_form) = 0.009000000000000001 y[1] (numeric) = 0.009000000000000001 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] = 0.11 y[1] (closed_form) = 0.009790000000000002 y[1] (numeric) = 0.00979 absolute error = 1.734723475976807e-18 relative error = 1.771934091906851e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (closed_form) = 0.01056 y[1] (numeric) = 0.01056 absolute error = 1.734723475976807e-18 relative error = 1.642730564371976e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (closed_form) = 0.01131 y[1] (numeric) = 0.01131 absolute error = 3.469446951953614e-18 relative error = 3.067592353628305e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (closed_form) = 0.01204 y[1] (numeric) = 0.01204 absolute error = 1.734723475976807e-18 relative error = 1.440800229216617e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (closed_form) = 0.01275 y[1] (numeric) = 0.01275 absolute error = 3.469446951953614e-18 relative error = 2.721134864277343e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (closed_form) = 0.01344000000000001 y[1] (numeric) = 0.01344 absolute error = 3.469446951953614e-18 relative error = 2.581433744013105e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (closed_form) = 0.01411000000000001 y[1] (numeric) = 0.01411 absolute error = 5.204170427930421e-18 relative error = 3.688285207604832e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (closed_form) = 0.01476000000000001 y[1] (numeric) = 0.01476 absolute error = 3.469446951953614e-18 relative error = 2.350573815686729e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (closed_form) = 0.01539000000000001 y[1] (numeric) = 0.01539 absolute error = 3.469446951953614e-18 relative error = 2.254351495746337e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (closed_form) = 0.01600000000000001 y[1] (numeric) = 0.016 absolute error = 3.469446951953614e-18 relative error = 2.168404344971008e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (closed_form) = 0.01659000000000001 y[1] (numeric) = 0.01659 absolute error = 3.469446951953614e-18 relative error = 2.09128809641568e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (closed_form) = 0.01716000000000001 y[1] (numeric) = 0.01716 absolute error = 6.938893903907228e-18 relative error = 4.043644466146401e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (closed_form) = 0.01771000000000001 y[1] (numeric) = 0.01771 absolute error = 3.469446951953614e-18 relative error = 1.959032722729313e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (closed_form) = 0.01824000000000001 y[1] (numeric) = 0.01824000000000001 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (closed_form) = 0.01875000000000001 y[1] (numeric) = 0.01875 absolute error = 3.469446951953614e-18 relative error = 1.850371707708593e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (closed_form) = 0.01924000000000001 y[1] (numeric) = 0.01924 absolute error = 6.938893903907228e-18 relative error = 3.606493713049494e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (closed_form) = 0.01971000000000001 y[1] (numeric) = 0.01971 absolute error = 3.469446951953614e-18 relative error = 1.760247058322483e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (closed_form) = 0.02016 y[1] (numeric) = 0.02016 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (closed_form) = 0.02059 y[1] (numeric) = 0.02059 absolute error = 3.469446951953614e-18 relative error = 1.685015518190196e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = 0.021 y[1] (numeric) = 0.021 absolute error = 3.469446951953614e-18 relative error = 1.652117596168387e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = 0.02139000000000001 y[1] (numeric) = 0.02139 absolute error = 3.469446951953614e-18 relative error = 1.621994834947926e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = 0.02176000000000001 y[1] (numeric) = 0.02176000000000001 absolute error = 3.469446951953614e-18 relative error = 1.594414959537506e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = 0.02211000000000001 y[1] (numeric) = 0.02211 absolute error = 6.938893903907228e-18 relative error = 3.138350928949447e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = 0.02244000000000001 y[1] (numeric) = 0.02244 absolute error = 6.938893903907228e-18 relative error = 3.092198709406072e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (closed_form) = 0.02275000000000001 y[1] (numeric) = 0.02275000000000001 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (closed_form) = 0.02304000000000001 y[1] (numeric) = 0.02304 absolute error = 6.938893903907228e-18 relative error = 3.011672701348623e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (closed_form) = 0.02331000000000001 y[1] (numeric) = 0.02331 absolute error = 6.938893903907228e-18 relative error = 2.976788461564661e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (closed_form) = 0.02356000000000001 y[1] (numeric) = 0.02356 absolute error = 6.938893903907228e-18 relative error = 2.945201147668602e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (closed_form) = 0.02379000000000001 y[1] (numeric) = 0.02379000000000001 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (closed_form) = 0.02400000000000001 y[1] (numeric) = 0.024 absolute error = 6.938893903907228e-18 relative error = 2.891205793294677e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (closed_form) = 0.02419000000000001 y[1] (numeric) = 0.02419 absolute error = 6.938893903907228e-18 relative error = 2.868496859821094e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = 0.02436000000000001 y[1] (numeric) = 0.02436 absolute error = 3.469446951953614e-18 relative error = 1.424239307041713e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (closed_form) = 0.02451000000000001 y[1] (numeric) = 0.02451 absolute error = 6.938893903907228e-18 relative error = 2.831046064425633e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = 0.02464000000000001 y[1] (numeric) = 0.02464 absolute error = 6.938893903907228e-18 relative error = 2.816109538923387e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = 0.02475 y[1] (numeric) = 0.02475 absolute error = 6.938893903907228e-18 relative error = 2.803593496528173e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (closed_form) = 0.02484 y[1] (numeric) = 0.02484 absolute error = 3.469446951953614e-18 relative error = 1.396717774538492e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (closed_form) = 0.02491000000000001 y[1] (numeric) = 0.02491 absolute error = 6.938893903907228e-18 relative error = 2.7855856699748e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (closed_form) = 0.02496 y[1] (numeric) = 0.02496 absolute error = 6.938893903907228e-18 relative error = 2.780005570475652e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (closed_form) = 0.02499 y[1] (numeric) = 0.02499 absolute error = 3.469446951953614e-18 relative error = 1.388334114427216e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = 0.025 y[1] (numeric) = 0.025 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (closed_form) = 0.02499 y[1] (numeric) = 0.02499 absolute error = 3.469446951953614e-18 relative error = 1.388334114427216e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = 0.02496 y[1] (numeric) = 0.02496 absolute error = 3.469446951953614e-18 relative error = 1.390002785237826e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = 0.02491 y[1] (numeric) = 0.02491 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (closed_form) = 0.02484 y[1] (numeric) = 0.02484 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = 0.02475 y[1] (numeric) = 0.02474999999999999 absolute error = 3.469446951953614e-18 relative error = 1.401796748264087e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = 0.02464 y[1] (numeric) = 0.02464 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = 0.02451 y[1] (numeric) = 0.02451 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = 0.02435999999999999 y[1] (numeric) = 0.02436 absolute error = 3.469446951953614e-18 relative error = 1.424239307041714e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = 0.02419 y[1] (numeric) = 0.02418999999999999 absolute error = 3.469446951953614e-18 relative error = 1.434248429910548e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = 0.02399999999999999 y[1] (numeric) = 0.02399999999999999 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = 0.02378999999999999 y[1] (numeric) = 0.02379 absolute error = 6.938893903907228e-18 relative error = 2.916727155908882e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (closed_form) = 0.02355999999999999 y[1] (numeric) = 0.02355999999999999 absolute error = 3.469446951953614e-18 relative error = 1.472600573834302e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = 0.02330999999999999 y[1] (numeric) = 0.02330999999999999 absolute error = 3.469446951953614e-18 relative error = 1.488394230782332e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (closed_form) = 0.02303999999999998 y[1] (numeric) = 0.02303999999999999 absolute error = 1.040834085586084e-17 relative error = 4.517509052022939e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (closed_form) = 0.02274999999999999 y[1] (numeric) = 0.02275 absolute error = 1.040834085586084e-17 relative error = 4.575094881697076e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (closed_form) = 0.02243999999999998 y[1] (numeric) = 0.02243999999999999 absolute error = 1.040834085586084e-17 relative error = 4.638298064109114e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (closed_form) = 0.02210999999999998 y[1] (numeric) = 0.02210999999999999 absolute error = 6.938893903907228e-18 relative error = 3.13835092894945e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (closed_form) = 0.02175999999999998 y[1] (numeric) = 0.02175999999999999 absolute error = 1.387778780781446e-17 relative error = 6.377659838150032e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = 0.02138999999999998 y[1] (numeric) = 0.02138999999999999 absolute error = 1.040834085586084e-17 relative error = 4.865984504843783e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = 0.02099999999999998 y[1] (numeric) = 0.02099999999999999 absolute error = 1.040834085586084e-17 relative error = 4.956352788505168e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = 0.02058999999999998 y[1] (numeric) = 0.02058999999999999 absolute error = 1.040834085586084e-17 relative error = 5.055046554570595e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = 0.02015999999999998 y[1] (numeric) = 0.02015999999999999 absolute error = 1.387778780781446e-17 relative error = 6.88382331736829e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (closed_form) = 0.01970999999999998 y[1] (numeric) = 0.01970999999999998 absolute error = 6.938893903907228e-18 relative error = 3.52049411664497e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = 0.01923999999999997 y[1] (numeric) = 0.01923999999999998 absolute error = 1.040834085586084e-17 relative error = 5.40974056957425e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (closed_form) = 0.01874999999999998 y[1] (numeric) = 0.01874999999999999 absolute error = 1.040834085586084e-17 relative error = 5.55111512312579e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = 0.01823999999999997 y[1] (numeric) = 0.01823999999999999 absolute error = 1.387778780781446e-17 relative error = 7.608436298143903e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = 0.01770999999999997 y[1] (numeric) = 0.01770999999999998 absolute error = 1.387778780781446e-17 relative error = 7.836130890917268e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (closed_form) = 0.01715999999999997 y[1] (numeric) = 0.01715999999999998 absolute error = 1.387778780781446e-17 relative error = 8.087288932292823e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (closed_form) = 0.01658999999999997 y[1] (numeric) = 0.01658999999999998 absolute error = 1.734723475976807e-17 relative error = 1.045644048207843e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (closed_form) = 0.01599999999999997 y[1] (numeric) = 0.01599999999999998 absolute error = 6.938893903907228e-18 relative error = 4.336808689942025e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (closed_form) = 0.01538999999999996 y[1] (numeric) = 0.01538999999999998 absolute error = 1.734723475976807e-17 relative error = 1.127175747873172e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (closed_form) = 0.01475999999999997 y[1] (numeric) = 0.01475999999999998 absolute error = 8.673617379884035e-18 relative error = 5.876434539216839e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (closed_form) = 0.01410999999999996 y[1] (numeric) = 0.01410999999999997 absolute error = 1.734723475976807e-17 relative error = 1.229428402534949e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (closed_form) = 0.01343999999999995 y[1] (numeric) = 0.01343999999999997 absolute error = 2.081668171172169e-17 relative error = 1.548860246407869e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (closed_form) = 0.01274999999999996 y[1] (numeric) = 0.01274999999999997 absolute error = 1.561251128379126e-17 relative error = 1.224510688924809e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (closed_form) = 0.01203999999999995 y[1] (numeric) = 0.01203999999999997 absolute error = 1.734723475976807e-17 relative error = 1.440800229216623e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (closed_form) = 0.01130999999999996 y[1] (numeric) = 0.01130999999999997 absolute error = 1.040834085586084e-17 relative error = 9.202777060884952e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (closed_form) = 0.01055999999999994 y[1] (numeric) = 0.01055999999999997 absolute error = 2.42861286636753e-17 relative error = 2.299822790120779e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (closed_form) = 0.009789999999999952 y[1] (numeric) = 0.009789999999999967 absolute error = 1.561251128379126e-17 relative error = 1.594740682716174e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (closed_form) = 0.008999999999999952 y[1] (numeric) = 0.008999999999999966 absolute error = 1.387778780781446e-17 relative error = 1.541976423090503e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (closed_form) = 0.008189999999999947 y[1] (numeric) = 0.008189999999999966 absolute error = 1.908195823574488e-17 relative error = 2.329909430493895e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (closed_form) = 0.007359999999999936 y[1] (numeric) = 0.007359999999999966 absolute error = 2.949029909160572e-17 relative error = 4.006834115707334e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (closed_form) = 0.006509999999999933 y[1] (numeric) = 0.006509999999999965 absolute error = 3.209238430557093e-17 relative error = 4.929705730502499e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (closed_form) = 0.005639999999999937 y[1] (numeric) = 0.005639999999999964 absolute error = 2.688821387764051e-17 relative error = 4.767413808092342e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (closed_form) = 0.004749999999999935 y[1] (numeric) = 0.004749999999999963 absolute error = 2.775557561562891e-17 relative error = 5.843279076974588e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (closed_form) = 0.003839999999999927 y[1] (numeric) = 0.003839999999999961 absolute error = 3.426078865054194e-17 relative error = 8.922080377745467e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (closed_form) = 0.002909999999999927 y[1] (numeric) = 0.00290999999999996 absolute error = 3.339342691255354e-17 relative error = 1.147540443730391e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (closed_form) = 0.001959999999999934 y[1] (numeric) = 0.001959999999999958 absolute error = 2.42861286636753e-17 relative error = 1.239088197126332e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (closed_form) = 0.0009899999999999215 y[1] (numeric) = 0.0009899999999999571 absolute error = 3.556183125752455e-17 relative error = 3.592104167427006e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (closed_form) = -6.938893903907228e-17 y[1] (numeric) = -4.428965874603286e-17 absolute error = 2.509928029303943e-17 relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (closed_form) = -0.001009999999999955 y[1] (numeric) = -0.001010000000000045 absolute error = 8.955509944730267e-17 relative error = 8.8668415294363e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = -0.002039999999999834 y[1] (numeric) = -0.002040000000000043 absolute error = 2.094678597241995e-16 relative error = 1.026803233942238e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = -0.003089999999999718 y[1] (numeric) = -0.003090000000000039 absolute error = 3.213575239247035e-16 relative error = 1.039991986811433e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = -0.004159999999999595 y[1] (numeric) = -0.004160000000000033 absolute error = 4.388850394221322e-16 relative error = 1.055012113995613e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999995 y[1] (closed_form) = -0.005249999999999463 y[1] (numeric) = -0.005250000000000025 absolute error = 5.611830444784971e-16 relative error = 1.068920084721056e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.059999999999994 y[1] (closed_form) = -0.006359999999999338 y[1] (numeric) = -0.006360000000000014 absolute error = 6.756747938929664e-16 relative error = 1.062381751404146e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y[1] (closed_form) = -0.007489999999999192 y[1] (numeric) = -0.007490000000000002 absolute error = 8.101158632811689e-16 relative error = 1.081596613192599e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y[1] (closed_form) = -0.008639999999999051 y[1] (numeric) = -0.00863999999999999 absolute error = 9.384854005034526e-16 relative error = 1.086209954286523e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y[1] (closed_form) = -0.009809999999998903 y[1] (numeric) = -0.009809999999999975 absolute error = 1.072059108153667e-15 relative error = 1.092822740217927e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y[1] (closed_form) = -0.01099999999999876 y[1] (numeric) = -0.01099999999999996 absolute error = 1.19522447494802e-15 relative error = 1.086567704498322e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y[1] (closed_form) = -0.01220999999999861 y[1] (numeric) = -0.01220999999999993 absolute error = 1.323594012170304e-15 relative error = 1.084024579992182e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = -0.01343999999999844 y[1] (numeric) = -0.01343999999999991 absolute error = 1.471045507628332e-15 relative error = 1.094527907461684e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = -0.01468999999999827 y[1] (numeric) = -0.01468999999999988 absolute error = 1.6080886622305e-15 relative error = 1.094682547468134e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = -0.0159599999999981 y[1] (numeric) = -0.01595999999999985 absolute error = 1.752070710736575e-15 relative error = 1.097788665875178e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y[1] (closed_form) = -0.01724999999999795 y[1] (numeric) = -0.01724999999999982 absolute error = 1.870031907102998e-15 relative error = 1.084076467885925e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y[1] (closed_form) = -0.01855999999999776 y[1] (numeric) = -0.01855999999999978 absolute error = 2.022687572988957e-15 relative error = 1.089810114757113e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y[1] (closed_form) = -0.01988999999999759 y[1] (numeric) = -0.01988999999999974 absolute error = 2.151057110211241e-15 relative error = 1.081476676828306e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y[1] (closed_form) = -0.02123999999999739 y[1] (numeric) = -0.02123999999999971 absolute error = 2.324529457808922e-15 relative error = 1.094411232490211e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y[1] (closed_form) = -0.0226099999999972 y[1] (numeric) = -0.02260999999999968 absolute error = 2.473715676742927e-15 relative error = 1.094080352385331e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y[1] (closed_form) = -0.02399999999999701 y[1] (numeric) = -0.02399999999999964 absolute error = 2.626371342628886e-15 relative error = 1.094321392762172e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y[1] (closed_form) = -0.02540999999999681 y[1] (numeric) = -0.0254099999999996 absolute error = 2.785965902418752e-15 relative error = 1.096405313820977e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = -0.0268399999999966 y[1] (numeric) = -0.02683999999999955 absolute error = 2.949029909160572e-15 relative error = 1.098744377481723e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = -0.02828999999999639 y[1] (numeric) = -0.0282899999999995 absolute error = 3.115563362854346e-15 relative error = 1.10129493208015e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = -0.02975999999999619 y[1] (numeric) = -0.02975999999999945 absolute error = 3.261280134836397e-15 relative error = 1.095860260361833e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y[1] (closed_form) = -0.03124999999999596 y[1] (numeric) = -0.0312499999999994 absolute error = 3.438221929386032e-15 relative error = 1.100231017403672e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y[1] (closed_form) = -0.03275999999999574 y[1] (numeric) = -0.03275999999999935 absolute error = 3.615163723935666e-15 relative error = 1.103529830261336e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y[1] (closed_form) = -0.03428999999999552 y[1] (numeric) = -0.03428999999999929 absolute error = 3.774758283725532e-15 relative error = 1.100833561891521e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y[1] (closed_form) = -0.03583999999999529 y[1] (numeric) = -0.03583999999999924 absolute error = 3.948230631323213e-15 relative error = 1.101626850257738e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y[1] (closed_form) = -0.03740999999999506 y[1] (numeric) = -0.03740999999999918 absolute error = 4.121702978920894e-15 relative error = 1.101765030452135e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y[1] (closed_form) = -0.03899999999999482 y[1] (numeric) = -0.03899999999999911 absolute error = 4.295175326518574e-15 relative error = 1.101327006799781e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y[1] (closed_form) = -0.04060999999999457 y[1] (numeric) = -0.04060999999999905 absolute error = 4.48252546192407e-15 relative error = 1.103798439282115e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = -0.04223999999999434 y[1] (numeric) = -0.04223999999999898 absolute error = 4.642120021713936e-15 relative error = 1.098986747565e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = -0.04388999999999407 y[1] (numeric) = -0.0438899999999989 absolute error = 4.829470157119431e-15 relative error = 1.100357748261582e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = -0.04555999999999383 y[1] (numeric) = -0.04555999999999883 absolute error = 5.002942504717112e-15 relative error = 1.098099759595652e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y[1] (closed_form) = -0.04724999999999355 y[1] (numeric) = -0.04724999999999876 absolute error = 5.211109321834329e-15 relative error = 1.102880279753448e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y[1] (closed_form) = -0.04895999999999329 y[1] (numeric) = -0.04895999999999869 absolute error = 5.398459457239824e-15 relative error = 1.1026265231292e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y[1] (closed_form) = -0.05068999999999302 y[1] (numeric) = -0.05068999999999861 absolute error = 5.592748486549226e-15 relative error = 1.103323828477017e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y[1] (closed_form) = -0.05243999999999274 y[1] (numeric) = -0.05243999999999854 absolute error = 5.793976409762536e-15 relative error = 1.104877271121918e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y[1] (closed_form) = -0.05420999999999246 y[1] (numeric) = -0.05420999999999845 absolute error = 5.995204332975845e-15 relative error = 1.105922216007504e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y[1] (closed_form) = -0.05599999999999219 y[1] (numeric) = -0.05599999999999837 absolute error = 6.175615574477433e-15 relative error = 1.102788495442552e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y[1] (closed_form) = -0.0578099999999919 y[1] (numeric) = -0.05780999999999829 absolute error = 6.390721285498557e-15 relative error = 1.10546986429674e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = -0.05963999999999162 y[1] (numeric) = -0.05963999999999819 absolute error = 6.578071420904053e-15 relative error = 1.102963014906938e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = -0.0614899999999913 y[1] (numeric) = -0.0614899999999981 absolute error = 6.800116025829084e-15 relative error = 1.105889742369498e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = -0.06335999999999101 y[1] (numeric) = -0.063359999999998 absolute error = 6.994405055138486e-15 relative error = 1.103914939258125e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y[1] (closed_form) = -0.0652499999999907 y[1] (numeric) = -0.06524999999999791 absolute error = 7.202571872255703e-15 relative error = 1.103842432529767e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y[1] (closed_form) = -0.06715999999999039 y[1] (numeric) = -0.0671599999999978 absolute error = 7.41073868937292e-15 relative error = 1.103445308125965e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y[1] (closed_form) = -0.06908999999999008 y[1] (numeric) = -0.06908999999999769 absolute error = 7.618905506490137e-15 relative error = 1.102750833187325e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y[1] (closed_form) = -0.07103999999998978 y[1] (numeric) = -0.07103999999999759 absolute error = 7.813194535799539e-15 relative error = 1.099830311908877e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y[1] (closed_form) = -0.07300999999998944 y[1] (numeric) = -0.07300999999999749 absolute error = 8.049116928532385e-15 relative error = 1.102467734356054e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y[1] (closed_form) = -0.07499999999998913 y[1] (numeric) = -0.07499999999999739 absolute error = 8.257283745649602e-15 relative error = 1.100971166086773e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = -0.07700999999998881 y[1] (numeric) = -0.07700999999999729 absolute error = 8.479328350574633e-15 relative error = 1.101068478194503e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = -0.07903999999998845 y[1] (numeric) = -0.07903999999999718 absolute error = 8.729128531115293e-15 relative error = 1.104393791892278e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = -0.08108999999998812 y[1] (numeric) = -0.08108999999999707 absolute error = 8.951173136040325e-15 relative error = 1.103856595886254e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = -0.08315999999998777 y[1] (numeric) = -0.08315999999999694 absolute error = 9.173217740965356e-15 relative error = 1.103080536431783e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y[1] (closed_form) = -0.08524999999998742 y[1] (numeric) = -0.08524999999999683 absolute error = 9.409140133698202e-15 relative error = 1.103711452633383e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y[1] (closed_form) = -0.08735999999998709 y[1] (numeric) = -0.0873599999999967 absolute error = 9.617306950815419e-15 relative error = 1.100882205908521e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.569999999999938 y[1] (closed_form) = -0.08948999999998672 y[1] (numeric) = -0.08948999999999659 absolute error = 9.867107131356079e-15 relative error = 1.10259326532099e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.579999999999937 y[1] (closed_form) = -0.09163999999998637 y[1] (numeric) = -0.09163999999999646 absolute error = 1.008915173628111e-14 relative error = 1.100955012689067e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.589999999999936 y[1] (closed_form) = -0.09380999999998602 y[1] (numeric) = -0.09380999999999633 absolute error = 1.031119634120614e-14 relative error = 1.099157482273497e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.599999999999935 y[1] (closed_form) = -0.0959999999999856 y[1] (numeric) = -0.09599999999999619 absolute error = 1.058875209736243e-14 relative error = 1.102995010142085e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.609999999999933 y[1] (closed_form) = -0.09820999999998525 y[1] (numeric) = -0.09820999999999605 absolute error = 1.079691891447965e-14 relative error = 1.099370625647212e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.619999999999932 y[1] (closed_form) = -0.1004399999999849 y[1] (numeric) = -0.1004399999999959 absolute error = 1.104671909502031e-14 relative error = 1.099832645860411e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.629999999999931 y[1] (closed_form) = -0.1026899999999845 y[1] (numeric) = -0.1026899999999958 absolute error = 1.13242748511766e-14 relative error = 1.102763156215631e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.63999999999993 y[1] (closed_form) = -0.1049599999999841 y[1] (numeric) = -0.1049599999999957 absolute error = 1.153244166829381e-14 relative error = 1.098746347970232e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.649999999999929 y[1] (closed_form) = -0.1072499999999837 y[1] (numeric) = -0.1072499999999955 absolute error = 1.182387521225792e-14 relative error = 1.102459227250323e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.659999999999928 y[1] (closed_form) = -0.1095599999999833 y[1] (numeric) = -0.1095599999999954 absolute error = 1.208755318060639e-14 relative error = 1.1032815973538e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.669999999999927 y[1] (closed_form) = -0.1118899999999829 y[1] (numeric) = -0.1118899999999952 absolute error = 1.233735336114705e-14 relative error = 1.102632349731785e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.679999999999926 y[1] (closed_form) = -0.1142399999999825 y[1] (numeric) = -0.1142399999999951 absolute error = 1.255939796607208e-14 relative error = 1.09938707686222e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.689999999999925 y[1] (closed_form) = -0.1166099999999821 y[1] (numeric) = -0.1166099999999949 absolute error = 1.2864709297844e-14 relative error = 1.103225220636822e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.699999999999924 y[1] (closed_form) = -0.1189999999999817 y[1] (numeric) = -0.1189999999999948 absolute error = 1.310063169057685e-14 relative error = 1.100893419376375e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.709999999999922 y[1] (closed_form) = -0.1214099999999813 y[1] (numeric) = -0.1214099999999946 absolute error = 1.336430965892532e-14 relative error = 1.100758558514734e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.719999999999921 y[1] (closed_form) = -0.1238399999999809 y[1] (numeric) = -0.1238399999999945 absolute error = 1.360023205165817e-14 relative error = 1.098209952491947e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.72999999999992 y[1] (closed_form) = -0.1262899999999804 y[1] (numeric) = -0.1262899999999943 absolute error = 1.387778780781446e-14 relative error = 1.098882556640796e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.739999999999919 y[1] (closed_form) = -0.1287599999999799 y[1] (numeric) = -0.1287599999999941 absolute error = 1.418309913958637e-14 relative error = 1.101514378657082e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.749999999999918 y[1] (closed_form) = -0.1312499999999795 y[1] (numeric) = -0.131249999999994 absolute error = 1.443289932012704e-14 relative error = 1.09964947200985e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.759999999999917 y[1] (closed_form) = -0.1337599999999791 y[1] (numeric) = -0.1337599999999938 absolute error = 1.46826995006677e-14 relative error = 1.097689855014204e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.769999999999916 y[1] (closed_form) = -0.1362899999999787 y[1] (numeric) = -0.1362899999999936 absolute error = 1.498801083243961e-14 relative error = 1.099714640284831e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.779999999999915 y[1] (closed_form) = -0.1388399999999782 y[1] (numeric) = -0.1388399999999935 absolute error = 1.52655665885959e-14 relative error = 1.099507821132116e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.789999999999914 y[1] (closed_form) = -0.1414099999999777 y[1] (numeric) = -0.1414099999999933 absolute error = 1.557087792036782e-14 relative error = 1.101115757044783e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.799999999999913 y[1] (closed_form) = -0.1439999999999773 y[1] (numeric) = -0.1439999999999931 absolute error = 1.587618925213974e-14 relative error = 1.102513142509878e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.809999999999911 y[1] (closed_form) = -0.1466099999999768 y[1] (numeric) = -0.1466099999999929 absolute error = 1.61259894326804e-14 relative error = 1.099924250234155e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.81999999999991 y[1] (closed_form) = -0.1492399999999763 y[1] (numeric) = -0.1492399999999928 absolute error = 1.643130076445232e-14 relative error = 1.100998443075243e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.829999999999909 y[1] (closed_form) = -0.1518899999999759 y[1] (numeric) = -0.1518899999999926 absolute error = 1.670885652060861e-14 relative error = 1.100062974561279e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.839999999999908 y[1] (closed_form) = -0.1545599999999754 y[1] (numeric) = -0.1545599999999924 absolute error = 1.701416785238052e-14 relative error = 1.100813137447155e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.849999999999907 y[1] (closed_form) = -0.1572499999999749 y[1] (numeric) = -0.1572499999999922 absolute error = 1.731947918415244e-14 relative error = 1.101397722362811e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.859999999999906 y[1] (closed_form) = -0.1599599999999745 y[1] (numeric) = -0.159959999999992 absolute error = 1.75692793646931e-14 relative error = 1.098354548930727e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.869999999999905 y[1] (closed_form) = -0.162689999999974 y[1] (numeric) = -0.1626899999999918 absolute error = 1.787459069646502e-14 relative error = 1.098690189714665e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.879999999999904 y[1] (closed_form) = -0.1654399999999734 y[1] (numeric) = -0.1654399999999916 absolute error = 1.820765760385257e-14 relative error = 1.10055957470113e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.889999999999903 y[1] (closed_form) = -0.1682099999999729 y[1] (numeric) = -0.1682099999999914 absolute error = 1.851296893562449e-14 relative error = 1.10058670326541e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.899999999999902 y[1] (closed_form) = -0.1709999999999725 y[1] (numeric) = -0.1709999999999913 absolute error = 1.88182802673964e-14 relative error = 1.10048422616371e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9099999999999 y[1] (closed_form) = -0.1738099999999719 y[1] (numeric) = -0.1738099999999911 absolute error = 1.912359159916832e-14 relative error = 1.100258420066245e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.919999999999899 y[1] (closed_form) = -0.1766399999999714 y[1] (numeric) = -0.1766399999999909 absolute error = 1.942890293094024e-14 relative error = 1.09991524744924e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.929999999999898 y[1] (closed_form) = -0.1794899999999709 y[1] (numeric) = -0.1794899999999907 absolute error = 1.976196983832779e-14 relative error = 1.101006732315504e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.939999999999897 y[1] (closed_form) = -0.1823599999999704 y[1] (numeric) = -0.1823599999999904 absolute error = 2.00672811700997e-14 relative error = 1.100421209152389e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.949999999999896 y[1] (closed_form) = -0.1852499999999699 y[1] (numeric) = -0.1852499999999903 absolute error = 2.037259250187162e-14 relative error = 1.099735087820509e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999895 y[1] (closed_form) = -0.1881599999999694 y[1] (numeric) = -0.18815999999999 absolute error = 2.067790383364354e-14 relative error = 1.098953222451473e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999894 y[1] (closed_form) = -0.1910899999999688 y[1] (numeric) = -0.1910899999999898 absolute error = 2.103872631664672e-14 relative error = 1.100985206795235e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999893 y[1] (closed_form) = -0.1940399999999683 y[1] (numeric) = -0.1940399999999896 absolute error = 2.131628207280301e-14 relative error = 1.09855092108877e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999892 y[1] (closed_form) = -0.1970099999999677 y[1] (numeric) = -0.1970099999999894 absolute error = 2.167710455580618e-14 relative error = 1.100304784316011e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999891 y[1] (closed_form) = -0.1999999999999672 y[1] (numeric) = -0.1999999999999892 absolute error = 2.19824158875781e-14 relative error = 1.099120794379085e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.00999999999989 y[1] (closed_form) = -0.2030099999999667 y[1] (numeric) = -0.2030099999999889 absolute error = 2.228772721935002e-14 relative error = 1.097863515065941e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999889 y[1] (closed_form) = -0.2060399999999661 y[1] (numeric) = -0.2060399999999887 absolute error = 2.259303855112194e-14 relative error = 1.096536524515902e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999887 y[1] (closed_form) = -0.2090899999999656 y[1] (numeric) = -0.2090899999999885 absolute error = 2.292610545850948e-14 relative error = 1.096470680497071e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.039999999999886 y[1] (closed_form) = -0.212159999999965 y[1] (numeric) = -0.2121599999999883 absolute error = 2.328692794151266e-14 relative error = 1.097611611119745e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999885 y[1] (closed_form) = -0.2152499999999644 y[1] (numeric) = -0.2152499999999881 absolute error = 2.364775042451583e-14 relative error = 1.098617905901033e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999884 y[1] (closed_form) = -0.2183599999999639 y[1] (numeric) = -0.2183599999999878 absolute error = 2.395306175628775e-14 relative error = 1.096952819027831e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999883 y[1] (closed_form) = -0.2214899999999633 y[1] (numeric) = -0.2214899999999876 absolute error = 2.431388423929093e-14 relative error = 1.097741850164565e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.079999999999882 y[1] (closed_form) = -0.2246399999999627 y[1] (numeric) = -0.2246399999999873 absolute error = 2.464695114667848e-14 relative error = 1.097175531814573e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.089999999999881 y[1] (closed_form) = -0.2278099999999621 y[1] (numeric) = -0.2278099999999871 absolute error = 2.500777362968165e-14 relative error = 1.097746965878838e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.09999999999988 y[1] (closed_form) = -0.2309999999999615 y[1] (numeric) = -0.2309999999999869 absolute error = 2.536859611268483e-14 relative error = 1.098207623925933e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999879 y[1] (closed_form) = -0.2342099999999609 y[1] (numeric) = -0.2342099999999866 absolute error = 2.567390744445674e-14 relative error = 1.096191769969729e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999878 y[1] (closed_form) = -0.2374399999999603 y[1] (numeric) = -0.2374399999999864 absolute error = 2.603472992745992e-14 relative error = 1.096476159344014e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.129999999999876 y[1] (closed_form) = -0.2406899999999597 y[1] (numeric) = -0.2406899999999861 absolute error = 2.642330798607873e-14 relative error = 1.097814948110979e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.139999999999875 y[1] (closed_form) = -0.2439599999999591 y[1] (numeric) = -0.2439599999999859 absolute error = 2.67841304690819e-14 relative error = 1.097890247134218e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.149999999999874 y[1] (closed_form) = -0.2472499999999585 y[1] (numeric) = -0.2472499999999856 absolute error = 2.714495295208508e-14 relative error = 1.097874740226072e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.159999999999873 y[1] (closed_form) = -0.2505599999999579 y[1] (numeric) = -0.2505599999999854 absolute error = 2.753353101070388e-14 relative error = 1.098879749788813e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.169999999999872 y[1] (closed_form) = -0.2538899999999573 y[1] (numeric) = -0.2538899999999852 absolute error = 2.792210906932269e-14 relative error = 1.099771911825097e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.179999999999871 y[1] (closed_form) = -0.2572399999999566 y[1] (numeric) = -0.2572399999999849 absolute error = 2.831068712794149e-14 relative error = 1.100555400713196e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.18999999999987 y[1] (closed_form) = -0.260609999999956 y[1] (numeric) = -0.2606099999999846 absolute error = 2.864375403532904e-14 relative error = 1.099104180013579e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.199999999999869 y[1] (closed_form) = -0.2639999999999554 y[1] (numeric) = -0.2639999999999844 absolute error = 2.897682094271659e-14 relative error = 1.097606853890965e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.209999999999868 y[1] (closed_form) = -0.2674099999999547 y[1] (numeric) = -0.2674099999999841 absolute error = 2.936539900133539e-14 relative error = 1.098141393416116e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.219999999999867 y[1] (closed_form) = -0.2708399999999541 y[1] (numeric) = -0.2708399999999838 absolute error = 2.97539770599542e-14 relative error = 1.098581341750083e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.229999999999865 y[1] (closed_form) = -0.2742899999999535 y[1] (numeric) = -0.2742899999999835 absolute error = 3.008704396734174e-14 relative error = 1.096906338814643e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.239999999999864 y[1] (closed_form) = -0.2777599999999528 y[1] (numeric) = -0.2777599999999833 absolute error = 3.047562202596055e-14 relative error = 1.097192613262015e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.249999999999863 y[1] (closed_form) = -0.2812499999999521 y[1] (numeric) = -0.281249999999983 absolute error = 3.086420008457935e-14 relative error = 1.09739378078523e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.259999999999862 y[1] (closed_form) = -0.2847599999999515 y[1] (numeric) = -0.2847599999999827 absolute error = 3.125277814319816e-14 relative error = 1.097512928192284e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.269999999999861 y[1] (closed_form) = -0.2882899999999508 y[1] (numeric) = -0.2882899999999824 absolute error = 3.169686735304822e-14 relative error = 1.099478558155109e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.27999999999986 y[1] (closed_form) = -0.2918399999999501 y[1] (numeric) = -0.2918399999999822 absolute error = 3.202993426043577e-14 relative error = 1.097516936007444e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.289999999999859 y[1] (closed_form) = -0.2954099999999494 y[1] (numeric) = -0.2954099999999819 absolute error = 3.247402347028583e-14 relative error = 1.099286532964063e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.299999999999858 y[1] (closed_form) = -0.2989999999999488 y[1] (numeric) = -0.2989999999999816 absolute error = 3.286260152890463e-14 relative error = 1.099083663174256e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.309999999999857 y[1] (closed_form) = -0.3026099999999481 y[1] (numeric) = -0.3026099999999813 absolute error = 3.325117958752344e-14 relative error = 1.09881297999171e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.319999999999856 y[1] (closed_form) = -0.3062399999999474 y[1] (numeric) = -0.306239999999981 absolute error = 3.358424649491099e-14 relative error = 1.096664266422308e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.329999999999854 y[1] (closed_form) = -0.3098899999999467 y[1] (numeric) = -0.3098899999999807 absolute error = 3.402833570476105e-14 relative error = 1.098077889082155e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.339999999999853 y[1] (closed_form) = -0.313559999999946 y[1] (numeric) = -0.3135599999999805 absolute error = 3.447242491461111e-14 relative error = 1.099388471572173e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.349999999999852 y[1] (closed_form) = -0.3172499999999453 y[1] (numeric) = -0.3172499999999802 absolute error = 3.486100297322992e-14 relative error = 1.098849581504679e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.359999999999851 y[1] (closed_form) = -0.3209599999999446 y[1] (numeric) = -0.3209599999999799 absolute error = 3.524958103184872e-14 relative error = 1.098254643315516e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.36999999999985 y[1] (closed_form) = -0.3246899999999439 y[1] (numeric) = -0.3246899999999796 absolute error = 3.574918139293004e-14 relative error = 1.101025020571506e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.379999999999849 y[1] (closed_form) = -0.3284399999999432 y[1] (numeric) = -0.3284399999999793 absolute error = 3.608224830031759e-14 relative error = 1.098594820981726e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.389999999999848 y[1] (closed_form) = -0.3322099999999425 y[1] (numeric) = -0.332209999999979 absolute error = 3.652633751016765e-14 relative error = 1.099495424887089e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.399999999999847 y[1] (closed_form) = -0.3359999999999418 y[1] (numeric) = -0.3359999999999787 absolute error = 3.691491556878645e-14 relative error = 1.098658201452168e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.409999999999846 y[1] (closed_form) = -0.339809999999941 y[1] (numeric) = -0.3398099999999784 absolute error = 3.741451592986778e-14 relative error = 1.101042227417506e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.419999999999844 y[1] (closed_form) = -0.3436399999999403 y[1] (numeric) = -0.3436399999999781 absolute error = 3.780309398848658e-14 relative error = 1.100078395660957e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.429999999999843 y[1] (closed_form) = -0.3474899999999396 y[1] (numeric) = -0.3474899999999778 absolute error = 3.824718319833664e-14 relative error = 1.100670039377919e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.439999999999842 y[1] (closed_form) = -0.3513599999999388 y[1] (numeric) = -0.3513599999999775 absolute error = 3.863576125695545e-14 relative error = 1.09960613777784e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.449999999999841 y[1] (closed_form) = -0.3552499999999381 y[1] (numeric) = -0.3552499999999771 absolute error = 3.902433931557425e-14 relative error = 1.098503569755976e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.45999999999984 y[1] (closed_form) = -0.3591599999999373 y[1] (numeric) = -0.3591599999999768 absolute error = 3.952393967665557e-14 relative error = 1.100454941437311e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.469999999999839 y[1] (closed_form) = -0.3630899999999365 y[1] (numeric) = -0.3630899999999765 absolute error = 3.996802888650564e-14 relative error = 1.100774708378436e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.479999999999838 y[1] (closed_form) = -0.3670399999999358 y[1] (numeric) = -0.3670399999999762 absolute error = 4.04121180963557e-14 relative error = 1.101027629042142e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.489999999999837 y[1] (closed_form) = -0.371009999999935 y[1] (numeric) = -0.3710099999999759 absolute error = 4.085620730620576e-14 relative error = 1.101215797585319e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.499999999999836 y[1] (closed_form) = -0.3749999999999343 y[1] (numeric) = -0.3749999999999755 absolute error = 4.124478536482457e-14 relative error = 1.099860943062181e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.509999999999835 y[1] (closed_form) = -0.3790099999999335 y[1] (numeric) = -0.3790099999999752 absolute error = 4.174438572590589e-14 relative error = 1.101405918733364e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.519999999999833 y[1] (closed_form) = -0.3830399999999328 y[1] (numeric) = -0.3830399999999748 absolute error = 4.207745263329343e-14 relative error = 1.098513278856016e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.529999999999832 y[1] (closed_form) = -0.387089999999932 y[1] (numeric) = -0.3870899999999745 absolute error = 4.25215418431435e-14 relative error = 1.098492387898188e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.539999999999831 y[1] (closed_form) = -0.3911599999999311 y[1] (numeric) = -0.3911599999999742 absolute error = 4.307665335545607e-14 relative error = 1.101254048355242e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.54999999999983 y[1] (closed_form) = -0.3952499999999304 y[1] (numeric) = -0.3952499999999738 absolute error = 4.346523141407488e-14 relative error = 1.099689599344277e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.559999999999829 y[1] (closed_form) = -0.3993599999999295 y[1] (numeric) = -0.3993599999999735 absolute error = 4.39648317751562e-14 relative error = 1.100882205908553e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.569999999999828 y[1] (closed_form) = -0.4034899999999287 y[1] (numeric) = -0.4034899999999731 absolute error = 4.440892098500626e-14 relative error = 1.100620114129572e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.579999999999827 y[1] (closed_form) = -0.4076399999999279 y[1] (numeric) = -0.4076399999999728 absolute error = 4.485301019485632e-14 relative error = 1.100309346356203e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.589999999999826 y[1] (closed_form) = -0.4118099999999272 y[1] (numeric) = -0.4118099999999725 absolute error = 4.529709940470639e-14 relative error = 1.099951419458352e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.599999999999825 y[1] (closed_form) = -0.4159999999999263 y[1] (numeric) = -0.4159999999999721 absolute error = 4.579669976578771e-14 relative error = 1.100882205908553e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.609999999999824 y[1] (closed_form) = -0.4202099999999256 y[1] (numeric) = -0.4202099999999718 absolute error = 4.618527782440651e-14 relative error = 1.099099922048849e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.619999999999822 y[1] (closed_form) = -0.4244399999999248 y[1] (numeric) = -0.4244399999999715 absolute error = 4.668487818548783e-14 relative error = 1.099917024443881e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.629999999999821 y[1] (closed_form) = -0.4286899999999239 y[1] (numeric) = -0.4286899999999711 absolute error = 4.723998969780041e-14 relative error = 1.101961550253302e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.63999999999982 y[1] (closed_form) = -0.4329599999999231 y[1] (numeric) = -0.4329599999999708 absolute error = 4.768407890765047e-14 relative error = 1.101350676913778e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.649999999999819 y[1] (closed_form) = -0.4372499999999222 y[1] (numeric) = -0.4372499999999704 absolute error = 4.818367926873179e-14 relative error = 1.10197093810727e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.659999999999818 y[1] (closed_form) = -0.4415599999999215 y[1] (numeric) = -0.44155999999997 absolute error = 4.85722573273506e-14 relative error = 1.100014886478831e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.669999999999817 y[1] (closed_form) = -0.4458899999999205 y[1] (numeric) = -0.4458899999999697 absolute error = 4.918287999089443e-14 relative error = 1.103027203814914e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.679999999999816 y[1] (closed_form) = -0.4502399999999197 y[1] (numeric) = -0.4502399999999693 absolute error = 4.96269692007445e-14 relative error = 1.102233679831942e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.689999999999815 y[1] (closed_form) = -0.4546099999999189 y[1] (numeric) = -0.4546099999999689 absolute error = 5.00155472593633e-14 relative error = 1.100185813320697e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.699999999999814 y[1] (closed_form) = -0.458999999999918 y[1] (numeric) = -0.4589999999999685 absolute error = 5.051514762044462e-14 relative error = 1.100547878441256e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.709999999999813 y[1] (closed_form) = -0.4634099999999172 y[1] (numeric) = -0.4634099999999682 absolute error = 5.101474798152594e-14 relative error = 1.100855570262512e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.719999999999811 y[1] (closed_form) = -0.4678399999999163 y[1] (numeric) = -0.4678399999999678 absolute error = 5.145883719137601e-14 relative error = 1.099923845575094e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.72999999999981 y[1] (closed_form) = -0.4722899999999154 y[1] (numeric) = -0.4722899999999674 absolute error = 5.201394870368858e-14 relative error = 1.101313783982255e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.739999999999809 y[1] (closed_form) = -0.4767599999999146 y[1] (numeric) = -0.476759999999967 absolute error = 5.245803791353865e-14 relative error = 1.100302833995051e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.749999999999808 y[1] (closed_form) = -0.4812499999999137 y[1] (numeric) = -0.4812499999999666 absolute error = 5.295763827461997e-14 relative error = 1.100418457654638e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.759999999999807 y[1] (closed_form) = -0.4857599999999128 y[1] (numeric) = -0.4857599999999663 absolute error = 5.345723863570129e-14 relative error = 1.100486631993389e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.769999999999806 y[1] (closed_form) = -0.4902899999999119 y[1] (numeric) = -0.4902899999999659 absolute error = 5.401235014801387e-14 relative error = 1.101640868629252e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.779999999999805 y[1] (closed_form) = -0.494839999999911 y[1] (numeric) = -0.4948399999999655 absolute error = 5.445643935786393e-14 relative error = 1.100485800619871e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.789999999999804 y[1] (closed_form) = -0.4994099999999101 y[1] (numeric) = -0.4994099999999651 absolute error = 5.501155087017651e-14 relative error = 1.101530823775784e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.799999999999803 y[1] (closed_form) = -0.5039999999999092 y[1] (numeric) = -0.5039999999999645 absolute error = 5.52891066263328e-14 relative error = 1.097006083856007e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.809999999999802 y[1] (closed_form) = -0.5086099999999083 y[1] (numeric) = -0.5086099999999644 absolute error = 5.606626274357041e-14 relative error = 1.102342909962064e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.8199999999998 y[1] (closed_form) = -0.5132399999999074 y[1] (numeric) = -0.5132399999999637 absolute error = 5.628830734849544e-14 relative error = 1.096724872350276e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.829999999999799 y[1] (closed_form) = -0.5178899999999065 y[1] (numeric) = -0.5178899999999635 absolute error = 5.706546346573305e-14 relative error = 1.101883864638115e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.839999999999798 y[1] (closed_form) = -0.5225599999999055 y[1] (numeric) = -0.5225599999999629 absolute error = 5.739853037312059e-14 relative error = 1.098410333227399e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.849999999999797 y[1] (closed_form) = -0.5272499999999046 y[1] (numeric) = -0.5272499999999627 absolute error = 5.806466418789569e-14 relative error = 1.101273858471431e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.859999999999796 y[1] (closed_form) = -0.5319599999999037 y[1] (numeric) = -0.5319599999999621 absolute error = 5.839773109528323e-14 relative error = 1.097784252486913e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.869999999999795 y[1] (closed_form) = -0.5366899999999027 y[1] (numeric) = -0.5366899999999618 absolute error = 5.906386491005833e-14 relative error = 1.100521062625893e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.879999999999794 y[1] (closed_form) = -0.5414399999999019 y[1] (numeric) = -0.5414399999999613 absolute error = 5.939693181744587e-14 relative error = 1.09701780100208e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.889999999999793 y[1] (closed_form) = -0.5462099999999009 y[1] (numeric) = -0.546209999999961 absolute error = 6.006306563222097e-14 relative error = 1.099633211259989e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.899999999999792 y[1] (closed_form) = -0.5509999999999 y[1] (numeric) = -0.5509999999999605 absolute error = 6.050715484207103e-14 relative error = 1.098133481707478e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.909999999999791 y[1] (closed_form) = -0.555809999999899 y[1] (numeric) = -0.5558099999999602 absolute error = 6.117328865684613e-14 relative error = 1.100615114101172e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.919999999999789 y[1] (closed_form) = -0.5606399999998981 y[1] (numeric) = -0.5606399999999597 absolute error = 6.161737786669619e-14 relative error = 1.0990542570403e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.929999999999788 y[1] (closed_form) = -0.5654899999998971 y[1] (numeric) = -0.5654899999999593 absolute error = 6.217248937900877e-14 relative error = 1.099444541530709e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.939999999999787 y[1] (closed_form) = -0.5703599999998962 y[1] (numeric) = -0.5703599999999589 absolute error = 6.272760089132134e-14 relative error = 1.099789622191822e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.949999999999786 y[1] (closed_form) = -0.5752499999998952 y[1] (numeric) = -0.5752499999999584 absolute error = 6.317169010117141e-14 relative error = 1.098160627573801e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.959999999999785 y[1] (closed_form) = -0.5801599999998942 y[1] (numeric) = -0.580159999999958 absolute error = 6.38378239159465e-14 relative error = 1.100348592042853e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.969999999999784 y[1] (closed_form) = -0.5850899999998933 y[1] (numeric) = -0.5850899999999575 absolute error = 6.417089082333405e-14 relative error = 1.09676957089244e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.979999999999783 y[1] (closed_form) = -0.5900399999998923 y[1] (numeric) = -0.5900399999999572 absolute error = 6.483702463810914e-14 relative error = 1.098858122129364e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.989999999999782 y[1] (closed_form) = -0.5950099999998913 y[1] (numeric) = -0.5950099999999566 absolute error = 6.52811138479592e-14 relative error = 1.097143137896357e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.999999999999781 y[1] (closed_form) = -0.5999999999998903 y[1] (numeric) = -0.5999999999999563 absolute error = 6.605826996519681e-14 relative error = 1.100971166086815e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.00999999999978 y[1] (closed_form) = -0.6050099999998894 y[1] (numeric) = -0.6050099999999557 absolute error = 6.639133687258436e-14 relative error = 1.09735933079778e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.019999999999778 y[1] (closed_form) = -0.6100399999998883 y[1] (numeric) = -0.6100399999999555 absolute error = 6.716849298982197e-14 relative error = 1.101050635857227e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.029999999999777 y[1] (closed_form) = -0.6150899999998873 y[1] (numeric) = -0.6150899999999548 absolute error = 6.750155989720952e-14 relative error = 1.097425740903313e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.039999999999776 y[1] (closed_form) = -0.6201599999998864 y[1] (numeric) = -0.6201599999999546 absolute error = 6.827871601444713e-14 relative error = 1.100985487849259e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.049999999999775 y[1] (closed_form) = -0.6252499999998853 y[1] (numeric) = -0.6252499999999539 absolute error = 6.861178292183467e-14 relative error = 1.09734958691479e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.059999999999774 y[1] (closed_form) = -0.6303599999998843 y[1] (numeric) = -0.6303599999999537 absolute error = 6.938893903907228e-14 relative error = 1.100782712086506e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.069999999999773 y[1] (closed_form) = -0.6354899999998833 y[1] (numeric) = -0.635489999999953 absolute error = 6.972200594645983e-14 relative error = 1.097137735392731e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.079999999999772 y[1] (closed_form) = -0.6406399999998823 y[1] (numeric) = -0.6406399999999528 absolute error = 7.049916206369744e-14 relative error = 1.100448958287188e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.089999999999771 y[1] (closed_form) = -0.6458099999998812 y[1] (numeric) = -0.6458099999999521 absolute error = 7.09432512735475e-14 relative error = 1.098515837066019e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.09999999999977 y[1] (closed_form) = -0.6509999999998802 y[1] (numeric) = -0.6509999999999518 absolute error = 7.16093850883226e-14 relative error = 1.099990554352316e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.109999999999769 y[1] (closed_form) = -0.6562099999998792 y[1] (numeric) = -0.6562099999999512 absolute error = 7.205347429817266e-14 relative error = 1.098024630806997e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.119999999999767 y[1] (closed_form) = -0.6614399999998781 y[1] (numeric) = -0.6614399999999508 absolute error = 7.271960811294775e-14 relative error = 1.099413523720385e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.129999999999766 y[1] (closed_form) = -0.6666899999998771 y[1] (numeric) = -0.6666899999999503 absolute error = 7.316369732279782e-14 relative error = 1.097417050245411e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.139999999999765 y[1] (closed_form) = -0.671959999999876 y[1] (numeric) = -0.6719599999999499 absolute error = 7.394085344003543e-14 relative error = 1.100375817608921e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.149999999999764 y[1] (closed_form) = -0.677249999999875 y[1] (numeric) = -0.6772499999999494 absolute error = 7.438494264988549e-14 relative error = 1.098338023623466e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.159999999999763 y[1] (closed_form) = -0.6825599999998739 y[1] (numeric) = -0.682559999999949 absolute error = 7.505107646466058e-14 relative error = 1.099552808026759e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.169999999999762 y[1] (closed_form) = -0.6878899999998729 y[1] (numeric) = -0.6878899999999485 absolute error = 7.560618797697316e-14 relative error = 1.099102879486359e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.179999999999761 y[1] (closed_form) = -0.6932399999998717 y[1] (numeric) = -0.693239999999948 absolute error = 7.627232179174825e-14 relative error = 1.100229672144746e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.18999999999976 y[1] (closed_form) = -0.6986099999998707 y[1] (numeric) = -0.6986099999999476 absolute error = 7.682743330406083e-14 relative error = 1.099718488199067e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.199999999999759 y[1] (closed_form) = -0.7039999999998696 y[1] (numeric) = -0.703999999999947 absolute error = 7.738254481637341e-14 relative error = 1.09918387523278e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.209999999999757 y[1] (closed_form) = -0.7094099999998686 y[1] (numeric) = -0.7094099999999466 absolute error = 7.793765632868599e-14 relative error = 1.098626412493486e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.219999999999756 y[1] (closed_form) = -0.7148399999998676 y[1] (numeric) = -0.7148399999999461 absolute error = 7.849276784099857e-14 relative error = 1.098046665561708e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.229999999999755 y[1] (closed_form) = -0.7202899999998664 y[1] (numeric) = -0.7202899999999457 absolute error = 7.926992395823618e-14 relative error = 1.100527897905717e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.239999999999754 y[1] (closed_form) = -0.7257599999998654 y[1] (numeric) = -0.7257599999999451 absolute error = 7.971401316808624e-14 relative error = 1.098352253749187e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.249999999999753 y[1] (closed_form) = -0.7312499999998643 y[1] (numeric) = -0.7312499999999448 absolute error = 8.049116928532385e-14 relative error = 1.100733938944804e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.259999999999752 y[1] (closed_form) = -0.7367599999998631 y[1] (numeric) = -0.7367599999999441 absolute error = 8.104628079763643e-14 relative error = 1.100036386308316e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.269999999999751 y[1] (closed_form) = -0.742289999999862 y[1] (numeric) = -0.7422899999999438 absolute error = 8.182343691487404e-14 relative error = 1.102310915072132e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.27999999999975 y[1] (closed_form) = -0.7478399999998608 y[1] (numeric) = -0.7478399999999431 absolute error = 8.22675261247241e-14 relative error = 1.100068545741595e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.289999999999749 y[1] (closed_form) = -0.7534099999998598 y[1] (numeric) = -0.7534099999999428 absolute error = 8.304468224196171e-14 relative error = 1.10225086263757e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.299999999999748 y[1] (closed_form) = -0.7589999999998587 y[1] (numeric) = -0.7589999999999421 absolute error = 8.337774914934926e-14 relative error = 1.098521069161591e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.309999999999746 y[1] (closed_form) = -0.7646099999998575 y[1] (numeric) = -0.7646099999999418 absolute error = 8.43769498715119e-14 relative error = 1.103529248525753e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.319999999999745 y[1] (closed_form) = -0.7702399999998564 y[1] (numeric) = -0.7702399999999411 absolute error = 8.471001677889944e-14 relative error = 1.099787297191982e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.329999999999744 y[1] (closed_form) = -0.7758899999998552 y[1] (numeric) = -0.7758899999999408 absolute error = 8.559819519859957e-14 relative error = 1.103225910871587e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.339999999999743 y[1] (closed_form) = -0.7815599999998541 y[1] (numeric) = -0.7815599999999401 absolute error = 8.593126210598712e-14 relative error = 1.099483879753354e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.349999999999742 y[1] (closed_form) = -0.787249999999853 y[1] (numeric) = -0.7872499999999397 absolute error = 8.670841822322473e-14 relative error = 1.101408932654696e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.359999999999741 y[1] (closed_form) = -0.7929599999998518 y[1] (numeric) = -0.792959999999939 absolute error = 8.72635297355373e-14 relative error = 1.100478331007284e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.36999999999974 y[1] (closed_form) = -0.7986899999998507 y[1] (numeric) = -0.7986899999999386 absolute error = 8.79296635503124e-14 relative error = 1.100923556703212e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.379999999999739 y[1] (closed_form) = -0.8044399999998495 y[1] (numeric) = -0.804439999999938 absolute error = 8.848477506262498e-14 relative error = 1.099954938375038e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.389999999999738 y[1] (closed_form) = -0.8102099999998484 y[1] (numeric) = -0.8102099999999376 absolute error = 8.915090887740007e-14 relative error = 1.100343230488599e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.399999999999737 y[1] (closed_form) = -0.8159999999998473 y[1] (numeric) = -0.815999999999937 absolute error = 8.970602038971265e-14 relative error = 1.099338485168253e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.409999999999735 y[1] (closed_form) = -0.8218099999998461 y[1] (numeric) = -0.8218099999999365 absolute error = 9.048317650695026e-14 relative error = 1.101023065026797e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.419999999999734 y[1] (closed_form) = -0.8276399999998449 y[1] (numeric) = -0.827639999999936 absolute error = 9.103828801926284e-14 relative error = 1.099974481891642e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.429999999999733 y[1] (closed_form) = -0.8334899999998437 y[1] (numeric) = -0.8334899999999354 absolute error = 9.170442183403793e-14 relative error = 1.100246215720106e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.439999999999732 y[1] (closed_form) = -0.8393599999998425 y[1] (numeric) = -0.8393599999999349 absolute error = 9.248157795127554e-14 relative error = 1.101810640860809e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.449999999999731 y[1] (closed_form) = -0.8452499999998413 y[1] (numeric) = -0.8452499999999343 absolute error = 9.303668946358812e-14 relative error = 1.100700259847449e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.45999999999973 y[1] (closed_form) = -0.85115999999984 y[1] (numeric) = -0.8511599999999339 absolute error = 9.381384558082573e-14 relative error = 1.10218813831528e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.469999999999729 y[1] (closed_form) = -0.8570899999998389 y[1] (numeric) = -0.8570899999999332 absolute error = 9.425793479067579e-14 relative error = 1.099743723421035e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.479999999999728 y[1] (closed_form) = -0.8630399999998377 y[1] (numeric) = -0.8630399999999327 absolute error = 9.50350909079134e-14 relative error = 1.101166700360716e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.489999999999727 y[1] (closed_form) = -0.8690099999998366 y[1] (numeric) = -0.8690099999999321 absolute error = 9.547918011776346e-14 relative error = 1.098712099029717e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.499999999999726 y[1] (closed_form) = -0.8749999999998352 y[1] (numeric) = -0.8749999999999317 absolute error = 9.64783808399261e-14 relative error = 1.10261006674222e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.509999999999724 y[1] (closed_form) = -0.8810099999998342 y[1] (numeric) = -0.881009999999931 absolute error = 9.681144774731365e-14 relative error = 1.098868886247964e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.519999999999723 y[1] (closed_form) = -0.8870399999998329 y[1] (numeric) = -0.8870399999999307 absolute error = 9.781064846947629e-14 relative error = 1.102663335018654e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.529999999999722 y[1] (closed_form) = -0.8930899999998316 y[1] (numeric) = -0.8930899999999299 absolute error = 9.825473767932635e-14 relative error = 1.100166138679695e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.539999999999721 y[1] (closed_form) = -0.8991599999998305 y[1] (numeric) = -0.8991599999999296 absolute error = 9.903189379656396e-14 relative error = 1.101382332361122e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.54999999999972 y[1] (closed_form) = -0.9052499999998291 y[1] (numeric) = -0.9052499999999287 absolute error = 9.958700530887654e-14 relative error = 1.100105002031431e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.559999999999719 y[1] (closed_form) = -0.9113599999998281 y[1] (numeric) = -0.9113599999999284 absolute error = 1.003641614261142e-13 relative error = 1.101257038120316e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.569999999999718 y[1] (closed_form) = -0.9174899999998267 y[1] (numeric) = -0.9174899999999276 absolute error = 1.009192729384267e-13 relative error = 1.099949568261733e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.579999999999717 y[1] (closed_form) = -0.9236399999998255 y[1] (numeric) = -0.9236399999999273 absolute error = 1.018074513581269e-13 relative error = 1.102241688949657e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.589999999999716 y[1] (closed_form) = -0.9298099999998242 y[1] (numeric) = -0.9298099999999265 absolute error = 1.023625628704394e-13 relative error = 1.100897633607498e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.599999999999715 y[1] (closed_form) = -0.935999999999823 y[1] (numeric) = -0.9359999999999261 absolute error = 1.03139718987677e-13 relative error = 1.101920074654878e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.609999999999713 y[1] (closed_form) = -0.9422099999998217 y[1] (numeric) = -0.9422099999999254 absolute error = 1.036948304999896e-13 relative error = 1.100549033655016e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.619999999999712 y[1] (closed_form) = -0.9484399999998205 y[1] (numeric) = -0.9484399999999249 absolute error = 1.043609643147647e-13 relative error = 1.10034334607128e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.629999999999711 y[1] (closed_form) = -0.9546899999998193 y[1] (numeric) = -0.9546899999999242 absolute error = 1.049160758270773e-13 relative error = 1.09895438128709e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.63999999999971 y[1] (closed_form) = -0.960959999999818 y[1] (numeric) = -0.9609599999999238 absolute error = 1.058042542467774e-13 relative error = 1.101026621782358e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.649999999999709 y[1] (closed_form) = -0.9672499999998168 y[1] (numeric) = -0.9672499999999231 absolute error = 1.0635936575909e-13 relative error = 1.099605745764902e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.659999999999708 y[1] (closed_form) = -0.9735599999998155 y[1] (numeric) = -0.9735599999999226 absolute error = 1.071365218763276e-13 relative error = 1.100461418673198e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.669999999999707 y[1] (closed_form) = -0.9798899999998141 y[1] (numeric) = -0.979889999999922 absolute error = 1.079136779935652e-13 relative error = 1.101283592990904e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.679999999999706 y[1] (closed_form) = -0.9862399999998128 y[1] (numeric) = -0.9862399999999214 absolute error = 1.085798118083403e-13 relative error = 1.100947150879714e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.689999999999705 y[1] (closed_form) = -0.9926099999998115 y[1] (numeric) = -0.9926099999999208 absolute error = 1.093569679255779e-13 relative error = 1.101711325954793e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.699999999999704 y[1] (closed_form) = -0.9989999999998103 y[1] (numeric) = -0.9989999999999202 absolute error = 1.099120794378905e-13 relative error = 1.100221015394508e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.709999999999702 y[1] (closed_form) = -1.005409999999809 y[1] (numeric) = -1.00540999999992 absolute error = 1.105782132526656e-13 relative error = 1.09983204118406e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.719999999999701 y[1] (closed_form) = -1.011839999999808 y[1] (numeric) = -1.011839999999919 absolute error = 1.114663916723657e-13 relative error = 1.101620727312489e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.7299999999997 y[1] (closed_form) = -1.018289999999806 y[1] (numeric) = -1.018289999999918 absolute error = 1.119104808822158e-13 relative error = 1.099004025201436e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.739999999999699 y[1] (closed_form) = -1.024759999999805 y[1] (numeric) = -1.024759999999918 absolute error = 1.127986593019159e-13 relative error = 1.100732457374774e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.749999999999698 y[1] (closed_form) = -1.031249999999804 y[1] (numeric) = -1.031249999999917 absolute error = 1.13242748511766e-13 relative error = 1.098111500720364e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.759999999999697 y[1] (closed_form) = -1.037759999999802 y[1] (numeric) = -1.037759999999917 absolute error = 1.141309269314661e-13 relative error = 1.09978151915171e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.769999999999696 y[1] (closed_form) = -1.044289999999801 y[1] (numeric) = -1.044289999999916 absolute error = 1.147970607462412e-13 relative error = 1.099283347980571e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.779999999999695 y[1] (closed_form) = -1.0508399999998 y[1] (numeric) = -1.050839999999915 absolute error = 1.156852391659413e-13 relative error = 1.100883475752383e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.789999999999694 y[1] (closed_form) = -1.057409999999798 y[1] (numeric) = -1.057409999999915 absolute error = 1.163513729807164e-13 relative error = 1.10034303610462e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.799999999999693 y[1] (closed_form) = -1.063999999999797 y[1] (numeric) = -1.063999999999914 absolute error = 1.172395514004165e-13 relative error = 1.101875483086832e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.809999999999691 y[1] (closed_form) = -1.070609999999796 y[1] (numeric) = -1.070609999999913 absolute error = 1.176836406102666e-13 relative error = 1.099220450119923e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.81999999999969 y[1] (closed_form) = -1.077239999999794 y[1] (numeric) = -1.077239999999913 absolute error = 1.187938636348917e-13 relative error = 1.102761349698437e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.829999999999689 y[1] (closed_form) = -1.083889999999793 y[1] (numeric) = -1.083889999999912 absolute error = 1.192379528447418e-13 relative error = 1.100092747832018e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.839999999999688 y[1] (closed_form) = -1.090559999999792 y[1] (numeric) = -1.090559999999912 absolute error = 1.201261312644419e-13 relative error = 1.101508686037127e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.849999999999687 y[1] (closed_form) = -1.09724999999979 y[1] (numeric) = -1.097249999999911 absolute error = 1.20792265079217e-13 relative error = 1.10086365987004e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.859999999999686 y[1] (closed_form) = -1.103959999999789 y[1] (numeric) = -1.103959999999911 absolute error = 1.216804434989172e-13 relative error = 1.102217865673941e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.869999999999685 y[1] (closed_form) = -1.110689999999787 y[1] (numeric) = -1.11068999999991 absolute error = 1.223465773136923e-13 relative error = 1.101536678224488e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.879999999999684 y[1] (closed_form) = -1.117439999999786 y[1] (numeric) = -1.117439999999909 absolute error = 1.230127111284673e-13 relative error = 1.10084399277358e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.889999999999683 y[1] (closed_form) = -1.124209999999785 y[1] (numeric) = -1.124209999999908 absolute error = 1.236788449432424e-13 relative error = 1.100140053399864e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.899999999999681 y[1] (closed_form) = -1.130999999999784 y[1] (numeric) = -1.130999999999908 absolute error = 1.243449787580175e-13 relative error = 1.099425099540595e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.90999999999968 y[1] (closed_form) = -1.137809999999782 y[1] (numeric) = -1.137809999999907 absolute error = 1.252331571777177e-13 relative error = 1.100650874730769e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.919999999999679 y[1] (closed_form) = -1.144639999999781 y[1] (numeric) = -1.144639999999906 absolute error = 1.256772463875677e-13 relative error = 1.097963083481198e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.929999999999678 y[1] (closed_form) = -1.151489999999779 y[1] (numeric) = -1.151489999999906 absolute error = 1.265654248072678e-13 relative error = 1.099144802015581e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.939999999999677 y[1] (closed_form) = -1.158359999999778 y[1] (numeric) = -1.158359999999905 absolute error = 1.27453603226968e-13 relative error = 1.100293546280883e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.949999999999676 y[1] (closed_form) = -1.165249999999777 y[1] (numeric) = -1.165249999999905 absolute error = 1.281197370417431e-13 relative error = 1.099504286992213e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.959999999999675 y[1] (closed_form) = -1.172159999999775 y[1] (numeric) = -1.172159999999904 absolute error = 1.290079154614432e-13 relative error = 1.100599879380528e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.969999999999674 y[1] (closed_form) = -1.179089999999774 y[1] (numeric) = -1.179089999999903 absolute error = 1.296740492762183e-13 relative error = 1.099780756992623e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.979999999999673 y[1] (closed_form) = -1.186039999999772 y[1] (numeric) = -1.186039999999903 absolute error = 1.305622276959184e-13 relative error = 1.10082482627857e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.989999999999672 y[1] (closed_form) = -1.193009999999771 y[1] (numeric) = -1.193009999999902 absolute error = 1.314504061156185e-13 relative error = 1.101838258821333e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.99999999999967 y[1] (closed_form) = -1.199999999999769 y[1] (numeric) = -1.199999999999901 absolute error = 1.321165399303936e-13 relative error = 1.100971166086825e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.009999999999674 y[1] (closed_form) = -1.207009999999771 y[1] (numeric) = -1.207009999999901 absolute error = 1.298960938811433e-13 relative error = 1.076180759738262e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.019999999999677 y[1] (closed_form) = -1.214039999999773 y[1] (numeric) = -1.2140399999999 absolute error = 1.27453603226968e-13 relative error = 1.049830345186253e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.029999999999681 y[1] (closed_form) = -1.221089999999774 y[1] (numeric) = -1.2210899999999 absolute error = 1.252331571777177e-13 relative error = 1.025584987001292e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.039999999999684 y[1] (closed_form) = -1.228159999999776 y[1] (numeric) = -1.228159999999899 absolute error = 1.225686219186173e-13 relative error = 9.979857829487985e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.049999999999687 y[1] (closed_form) = -1.235249999999778 y[1] (numeric) = -1.235249999999898 absolute error = 1.20348175869367e-13 relative error = 9.742819337736378e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.059999999999691 y[1] (closed_form) = -1.24235999999978 y[1] (numeric) = -1.242359999999898 absolute error = 1.179056852151916e-13 relative error = 9.490460511865525e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.069999999999694 y[1] (closed_form) = -1.249489999999781 y[1] (numeric) = -1.249489999999897 absolute error = 1.156852391659413e-13 relative error = 9.258596640706332e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.079999999999697 y[1] (closed_form) = -1.256639999999783 y[1] (numeric) = -1.256639999999896 absolute error = 1.130207039068409e-13 relative error = 8.993880817645501e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.089999999999701 y[1] (closed_form) = -1.263809999999785 y[1] (numeric) = -1.263809999999896 absolute error = 1.110223024625157e-13 relative error = 8.784730494499533e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.099999999999704 y[1] (closed_form) = -1.270999999999787 y[1] (numeric) = -1.270999999999895 absolute error = 1.083577672034153e-13 relative error = 8.525394744565969e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.109999999999707 y[1] (closed_form) = -1.278209999999789 y[1] (numeric) = -1.278209999999895 absolute error = 1.059152765492399e-13 relative error = 8.286218739429158e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.119999999999711 y[1] (closed_form) = -1.285439999999791 y[1] (numeric) = -1.285439999999894 absolute error = 1.032507412901396e-13 relative error = 8.032326774501835e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.129999999999714 y[1] (closed_form) = -1.292689999999792 y[1] (numeric) = -1.292689999999894 absolute error = 1.012523398458143e-13 relative error = 7.83268531866345e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.139999999999717 y[1] (closed_form) = -1.299959999999794 y[1] (numeric) = -1.299959999999893 absolute error = 9.85878045867139e-14 relative error = 7.583910626998485e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.149999999999721 y[1] (closed_form) = -1.307249999999796 y[1] (numeric) = -1.307249999999892 absolute error = 9.636735853746359e-14 relative error = 7.371761984125349e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.159999999999724 y[1] (closed_form) = -1.314559999999798 y[1] (numeric) = -1.314559999999892 absolute error = 9.370282327836321e-14 relative error = 7.128075042476389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.169999999999727 y[1] (closed_form) = -1.3218899999998 y[1] (numeric) = -1.321889999999891 absolute error = 9.14823772291129e-14 relative error = 6.920574119565679e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.179999999999731 y[1] (closed_form) = -1.329239999999802 y[1] (numeric) = -1.329239999999891 absolute error = 8.881784197001252e-14 relative error = 6.68185143164709e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.189999999999734 y[1] (closed_form) = -1.336609999999804 y[1] (numeric) = -1.33660999999989 absolute error = 8.637535131583718e-14 relative error = 6.462270319378867e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.199999999999737 y[1] (closed_form) = -1.343999999999806 y[1] (numeric) = -1.343999999999889 absolute error = 8.37108160567368e-14 relative error = 6.228483337555723e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.209999999999741 y[1] (closed_form) = -1.351409999999807 y[1] (numeric) = -1.351409999999889 absolute error = 8.149037000748649e-14 relative error = 6.030025677440458e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.219999999999744 y[1] (closed_form) = -1.35883999999981 y[1] (numeric) = -1.358839999999888 absolute error = 7.882583474838611e-14 relative error = 5.800965142945245e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.229999999999747 y[1] (closed_form) = -1.366289999999811 y[1] (numeric) = -1.366289999999888 absolute error = 7.638334409421077e-14 relative error = 5.590565992155495e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.239999999999751 y[1] (closed_form) = -1.373759999999814 y[1] (numeric) = -1.373759999999887 absolute error = 7.371880883511039e-14 relative error = 5.366207258554653e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.249999999999754 y[1] (closed_form) = -1.381249999999816 y[1] (numeric) = -1.381249999999887 absolute error = 7.127631818093505e-14 relative error = 5.160276429389652e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.259999999999757 y[1] (closed_form) = -1.388759999999817 y[1] (numeric) = -1.388759999999886 absolute error = 6.883382752675971e-14 relative error = 4.956495544713899e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.269999999999761 y[1] (closed_form) = -1.39628999999982 y[1] (numeric) = -1.396289999999886 absolute error = 6.639133687258436e-14 relative error = 4.754838670519229e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.279999999999764 y[1] (closed_form) = -1.403839999999822 y[1] (numeric) = -1.403839999999885 absolute error = 6.372680161348399e-14 relative error = 4.539463301622128e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.289999999999767 y[1] (closed_form) = -1.411409999999824 y[1] (numeric) = -1.411409999999885 absolute error = 6.150635556423367e-14 relative error = 4.357795081814736e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.299999999999771 y[1] (closed_form) = -1.418999999999826 y[1] (numeric) = -1.418999999999885 absolute error = 5.88418203051333e-14 relative error = 4.146710380911946e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.309999999999774 y[1] (closed_form) = -1.426609999999828 y[1] (numeric) = -1.426609999999884 absolute error = 5.617728504603292e-14 relative error = 3.937816575380776e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.319999999999777 y[1] (closed_form) = -1.43423999999983 y[1] (numeric) = -1.434239999999884 absolute error = 5.373479439185758e-14 relative error = 3.746569220762491e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.329999999999781 y[1] (closed_form) = -1.441889999999832 y[1] (numeric) = -1.441889999999883 absolute error = 5.10702591327572e-14 relative error = 3.541897033252408e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.339999999999784 y[1] (closed_form) = -1.449559999999834 y[1] (numeric) = -1.449559999999883 absolute error = 4.862776847858186e-14 relative error = 3.354657170354275e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.349999999999787 y[1] (closed_form) = -1.457249999999836 y[1] (numeric) = -1.457249999999882 absolute error = 4.596323321948148e-14 relative error = 3.154107614993079e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.359999999999791 y[1] (closed_form) = -1.464959999999838 y[1] (numeric) = -1.464959999999882 absolute error = 4.352074256530614e-14 relative error = 2.970780264670089e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.369999999999794 y[1] (closed_form) = -1.472689999999841 y[1] (numeric) = -1.472689999999881 absolute error = 4.085620730620576e-14 relative error = 2.774257128534191e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.379999999999797 y[1] (closed_form) = -1.480439999999843 y[1] (numeric) = -1.480439999999881 absolute error = 3.841371665203042e-14 relative error = 2.594749983250553e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.389999999999801 y[1] (closed_form) = -1.488209999999845 y[1] (numeric) = -1.488209999999881 absolute error = 3.552713678800501e-14 relative error = 2.387239488244852e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.399999999999804 y[1] (closed_form) = -1.495999999999847 y[1] (numeric) = -1.49599999999988 absolute error = 3.308464613382966e-14 relative error = 2.211540516967449e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.409999999999807 y[1] (closed_form) = -1.503809999999849 y[1] (numeric) = -1.50380999999988 absolute error = 3.042011087472929e-14 relative error = 2.022869303617634e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.419999999999811 y[1] (closed_form) = -1.511639999999852 y[1] (numeric) = -1.51163999999988 absolute error = 2.797762022055394e-14 relative error = 1.850812377322424e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.429999999999814 y[1] (closed_form) = -1.519489999999854 y[1] (numeric) = -1.519489999999879 absolute error = 2.509104035652854e-14 relative error = 1.651280387270133e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.439999999999817 y[1] (closed_form) = -1.527359999999856 y[1] (numeric) = -1.527359999999879 absolute error = 2.264854970235319e-14 relative error = 1.482856019691188e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.449999999999821 y[1] (closed_form) = -1.535249999999858 y[1] (numeric) = -1.535249999999878 absolute error = 1.998401444325282e-14 relative error = 1.301678192037431e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.459999999999824 y[1] (closed_form) = -1.543159999999861 y[1] (numeric) = -1.543159999999878 absolute error = 1.754152378907747e-14 relative error = 1.136727480564495e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.469999999999827 y[1] (closed_form) = -1.551089999999863 y[1] (numeric) = -1.551089999999878 absolute error = 1.443289932012704e-14 relative error = 9.305004429226099e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.479999999999831 y[1] (closed_form) = -1.559039999999865 y[1] (numeric) = -1.559039999999877 absolute error = 1.199040866595169e-14 relative error = 7.690892258025917e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.489999999999834 y[1] (closed_form) = -1.567009999999867 y[1] (numeric) = -1.567009999999877 absolute error = 9.547918011776346e-15 relative error = 6.093080460097354e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.499999999999837 y[1] (closed_form) = -1.57499999999987 y[1] (numeric) = -1.574999999999877 absolute error = 6.883382752675971e-15 relative error = 4.370401747731135e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.509999999999841 y[1] (closed_form) = -1.583009999999872 y[1] (numeric) = -1.583009999999876 absolute error = 3.996802888650564e-15 relative error = 2.524812154472104e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.519999999999844 y[1] (closed_form) = -1.591039999999875 y[1] (numeric) = -1.591039999999876 absolute error = 1.554312234475219e-15 relative error = 9.769158754496062e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.529999999999847 y[1] (closed_form) = -1.599089999999877 y[1] (numeric) = -1.599089999999876 absolute error = 1.110223024625157e-15 relative error = 6.942842645662483e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.539999999999851 y[1] (closed_form) = -1.60715999999988 y[1] (numeric) = -1.607159999999876 absolute error = 3.996802888650564e-15 relative error = 2.486873048514686e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.549999999999854 y[1] (closed_form) = -1.615249999999882 y[1] (numeric) = -1.615249999999875 absolute error = 6.883382752675971e-15 relative error = 4.261496828773548e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.559999999999858 y[1] (closed_form) = -1.623359999999884 y[1] (numeric) = -1.623359999999875 absolute error = 9.325873406851315e-15 relative error = 5.744796845340515e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.569999999999861 y[1] (closed_form) = -1.631489999999887 y[1] (numeric) = -1.631489999999875 absolute error = 1.199040866595169e-14 relative error = 7.349360808802091e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.579999999999864 y[1] (closed_form) = -1.639639999999889 y[1] (numeric) = -1.639639999999875 absolute error = 1.443289932012704e-14 relative error = 8.802480617774641e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.589999999999868 y[1] (closed_form) = -1.647809999999891 y[1] (numeric) = -1.647809999999874 absolute error = 1.731947918415244e-14 relative error = 1.051060448968849e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.599999999999871 y[1] (closed_form) = -1.655999999999894 y[1] (numeric) = -1.655999999999874 absolute error = 1.998401444325282e-14 relative error = 1.206764157201334e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.609999999999874 y[1] (closed_form) = -1.664209999999897 y[1] (numeric) = -1.664209999999874 absolute error = 2.309263891220326e-14 relative error = 1.387603662530852e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.619999999999878 y[1] (closed_form) = -1.672439999999899 y[1] (numeric) = -1.672439999999873 absolute error = 2.575717417130363e-14 relative error = 1.540095559261031e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.629999999999881 y[1] (closed_form) = -1.680689999999902 y[1] (numeric) = -1.680689999999873 absolute error = 2.864375403532904e-14 relative error = 1.704285384891367e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.639999999999884 y[1] (closed_form) = -1.688959999999904 y[1] (numeric) = -1.688959999999873 absolute error = 3.130828929442941e-14 relative error = 1.853702236549781e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.649999999999888 y[1] (closed_form) = -1.697249999999907 y[1] (numeric) = -1.697249999999873 absolute error = 3.397282455352979e-14 relative error = 2.001639390398094e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.659999999999891 y[1] (closed_form) = -1.705559999999909 y[1] (numeric) = -1.705559999999873 absolute error = 3.663735981263017e-14 relative error = 2.148113218686655e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.669999999999894 y[1] (closed_form) = -1.713889999999912 y[1] (numeric) = -1.713889999999872 absolute error = 3.952393967665557e-14 relative error = 2.306095471509701e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.679999999999898 y[1] (closed_form) = -1.722239999999915 y[1] (numeric) = -1.722239999999872 absolute error = 4.241051954068098e-14 relative error = 2.462520876340294e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.689999999999901 y[1] (closed_form) = -1.730609999999917 y[1] (numeric) = -1.730609999999872 absolute error = 4.507505479978136e-14 relative error = 2.604576120546138e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.699999999999904 y[1] (closed_form) = -1.738999999999919 y[1] (numeric) = -1.738999999999872 absolute error = 4.796163466380676e-14 relative error = 2.758000843232259e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.709999999999908 y[1] (closed_form) = -1.747409999999922 y[1] (numeric) = -1.747409999999871 absolute error = 5.084821452783217e-14 relative error = 2.909918938762765e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.719999999999911 y[1] (closed_form) = -1.755839999999925 y[1] (numeric) = -1.755839999999871 absolute error = 5.373479439185758e-14 relative error = 3.060346864854421e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.729999999999914 y[1] (closed_form) = -1.764289999999928 y[1] (numeric) = -1.764289999999871 absolute error = 5.639932965095795e-14 relative error = 3.196715372810607e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.739999999999918 y[1] (closed_form) = -1.77275999999993 y[1] (numeric) = -1.772759999999871 absolute error = 5.928590951498336e-14 relative error = 3.344271616856523e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.749999999999921 y[1] (closed_form) = -1.781249999999933 y[1] (numeric) = -1.781249999999871 absolute error = 6.217248937900877e-14 relative error = 3.490385368646238e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.759999999999924 y[1] (closed_form) = -1.789759999999935 y[1] (numeric) = -1.789759999999871 absolute error = 6.483702463810914e-14 relative error = 3.622665867943829e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.769999999999928 y[1] (closed_form) = -1.798289999999938 y[1] (numeric) = -1.79828999999987 absolute error = 6.750155989720952e-14 relative error = 3.753652630955621e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.779999999999931 y[1] (closed_form) = -1.806839999999941 y[1] (numeric) = -1.80683999999987 absolute error = 7.061018436615996e-14 relative error = 3.907937856487695e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.789999999999934 y[1] (closed_form) = -1.815409999999944 y[1] (numeric) = -1.81540999999987 absolute error = 7.349676423018536e-14 relative error = 4.04849396170494e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.799999999999938 y[1] (closed_form) = -1.823999999999947 y[1] (numeric) = -1.82399999999987 absolute error = 7.66053886991358e-14 relative error = 4.199856836575551e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.809999999999941 y[1] (closed_form) = -1.832609999999949 y[1] (numeric) = -1.83260999999987 absolute error = 7.926992395823618e-14 relative error = 4.325520648596175e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.819999999999944 y[1] (closed_form) = -1.841239999999952 y[1] (numeric) = -1.84123999999987 absolute error = 8.237854842718662e-14 relative error = 4.47407988242645e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.829999999999948 y[1] (closed_form) = -1.849889999999955 y[1] (numeric) = -1.84988999999987 absolute error = 8.482103908136196e-14 relative error = 4.585193664561895e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.839999999999951 y[1] (closed_form) = -1.858559999999958 y[1] (numeric) = -1.858559999999869 absolute error = 8.815170815523743e-14 relative error = 4.743011156768651e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.849999999999954 y[1] (closed_form) = -1.86724999999996 y[1] (numeric) = -1.86724999999987 absolute error = 9.081624341433781e-14 relative error = 4.863636010943352e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.859999999999958 y[1] (closed_form) = -1.875959999999963 y[1] (numeric) = -1.875959999999869 absolute error = 9.392486788328824e-14 relative error = 5.006762824542639e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.869999999999961 y[1] (closed_form) = -1.884689999999966 y[1] (numeric) = -1.884689999999869 absolute error = 9.636735853746359e-14 relative error = 5.113167605148079e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.879999999999964 y[1] (closed_form) = -1.893439999999969 y[1] (numeric) = -1.893439999999869 absolute error = 9.969802761133906e-14 relative error = 5.265444250218686e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.889999999999968 y[1] (closed_form) = -1.902209999999972 y[1] (numeric) = -1.902209999999869 absolute error = 1.023625628704394e-13 relative error = 5.381244072444208e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.899999999999971 y[1] (closed_form) = -1.910999999999975 y[1] (numeric) = -1.910999999999869 absolute error = 1.056932319443149e-13 relative error = 5.530781368096091e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.909999999999974 y[1] (closed_form) = -1.919809999999977 y[1] (numeric) = -1.919809999999869 absolute error = 1.081357225984902e-13 relative error = 5.632626280647122e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.919999999999978 y[1] (closed_form) = -1.92863999999998 y[1] (numeric) = -1.928639999999869 absolute error = 1.112443470674407e-13 relative error = 5.76802031833011e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.929999999999981 y[1] (closed_form) = -1.937489999999983 y[1] (numeric) = -1.937489999999869 absolute error = 1.139088823265411e-13 relative error = 5.879198464329729e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.939999999999984 y[1] (closed_form) = -1.946359999999986 y[1] (numeric) = -1.946359999999869 absolute error = 1.172395514004165e-13 relative error = 6.023528607267791e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.949999999999988 y[1] (closed_form) = -1.955249999999989 y[1] (numeric) = -1.955249999999869 absolute error = 1.201261312644419e-13 relative error = 6.143773495176709e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.959999999999991 y[1] (closed_form) = -1.964159999999992 y[1] (numeric) = -1.964159999999869 absolute error = 1.232347557333924e-13 relative error = 6.274170929730413e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.969999999999994 y[1] (closed_form) = -1.973089999999995 y[1] (numeric) = -1.973089999999869 absolute error = 1.261213355974178e-13 relative error = 6.392072110112468e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.979999999999998 y[1] (closed_form) = -1.982039999999998 y[1] (numeric) = -1.982039999999869 absolute error = 1.290079154614432e-13 relative error = 6.508845202995062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.990000000000001 y[1] (closed_form) = -1.991010000000001 y[1] (numeric) = -1.991009999999869 absolute error = 1.321165399303936e-13 relative error = 6.635654262429298e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) - ( 0.3 * x + 0.1 ) ; Iterations = 4900 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %