##############ECHO OF PROBLEM################# ##############temp/sub_c_linpostode.ode################# diff ( y , x , 1 ) = 0.3 - ( 0.1 * x + 0.2 ) ; ! /* 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(-0.05) * c(x) * c(x) + 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) = 0.009500000000000001 y[1] (numeric) = 0.009500000000000001 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) = 0.010395 y[1] (numeric) = 0.010395 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] = 0.12 y[1] (closed_form) = 0.01128 y[1] (numeric) = 0.01128 absolute error = 3.469446951953614e-18 relative error = 3.075750843930508e-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) = 0.012155 y[1] (numeric) = 0.012155 absolute error = 5.204170427930421e-18 relative error = 4.281505905331484e-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) = 0.01302000000000001 y[1] (numeric) = 0.01302 absolute error = 5.204170427930421e-18 relative error = 3.997058700407388e-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) = 0.01387500000000001 y[1] (numeric) = 0.013875 absolute error = 5.204170427930421e-18 relative error = 3.750753461571473e-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) = 0.01472000000000001 y[1] (numeric) = 0.01472 absolute error = 6.938893903907228e-18 relative error = 4.713922489067409e-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) = 0.01555500000000001 y[1] (numeric) = 0.015555 absolute error = 8.673617379884035e-18 relative error = 5.576096033355212e-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) = 0.01638000000000001 y[1] (numeric) = 0.01638 absolute error = 1.387778780781446e-17 relative error = 8.47239792906865e-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) = 0.01719500000000001 y[1] (numeric) = 0.017195 absolute error = 1.387778780781446e-17 relative error = 8.070827454384675e-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) = 0.01800000000000001 y[1] (numeric) = 0.018 absolute error = 1.040834085586084e-17 relative error = 5.782411586589354e-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) = 0.01879500000000001 y[1] (numeric) = 0.018795 absolute error = 1.387778780781446e-17 relative error = 7.383765792931338e-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) = 0.01958000000000001 y[1] (numeric) = 0.01957999999999999 absolute error = 1.734723475976807e-17 relative error = 8.85967045953425e-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) = 0.02035500000000001 y[1] (numeric) = 0.02035499999999999 absolute error = 1.734723475976807e-17 relative error = 8.522345742946727e-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) = 0.02112000000000001 y[1] (numeric) = 0.02112 absolute error = 1.387778780781446e-17 relative error = 6.570922257487902e-14 % 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) = 0.02187500000000001 y[1] (numeric) = 0.02187499999999999 absolute error = 1.734723475976807e-17 relative error = 7.930164461608258e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (closed_form) = 0.02262000000000001 y[1] (numeric) = 0.02261999999999999 absolute error = 1.734723475976807e-17 relative error = 7.668980884070763e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (closed_form) = 0.02335500000000001 y[1] (numeric) = 0.02335499999999999 absolute error = 1.734723475976807e-17 relative error = 7.427632095811631e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (closed_form) = 0.02408000000000001 y[1] (numeric) = 0.02407999999999999 absolute error = 1.734723475976807e-17 relative error = 7.204001146083082e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (closed_form) = 0.02479500000000001 y[1] (numeric) = 0.02479499999999999 absolute error = 2.081668171172169e-17 relative error = 8.395515915193255e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = 0.02550000000000001 y[1] (numeric) = 0.02549999999999999 absolute error = 2.081668171172169e-17 relative error = 8.163404592832029e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = 0.02619500000000001 y[1] (numeric) = 0.02619499999999999 absolute error = 1.734723475976807e-17 relative error = 6.622345775822892e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = 0.02688000000000001 y[1] (numeric) = 0.02687999999999999 absolute error = 2.42861286636753e-17 relative error = 9.035018104045866e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = 0.02755500000000002 y[1] (numeric) = 0.02755499999999999 absolute error = 2.775557561562891e-17 relative error = 1.007279100549044e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = 0.02822000000000002 y[1] (numeric) = 0.02821999999999999 absolute error = 2.42861286636753e-17 relative error = 8.605998817744609e-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) = 0.02887500000000002 y[1] (numeric) = 0.02887499999999999 absolute error = 2.42861286636753e-17 relative error = 8.410780489584515e-14 % 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) = 0.02952000000000002 y[1] (numeric) = 0.02951999999999999 absolute error = 3.122502256758253e-17 relative error = 1.057758217059028e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (closed_form) = 0.03015500000000002 y[1] (numeric) = 0.03015499999999999 absolute error = 2.775557561562891e-17 relative error = 9.204302973181529e-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) = 0.03078000000000002 y[1] (numeric) = 0.03077999999999999 absolute error = 2.775557561562891e-17 relative error = 9.017405982985348e-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) = 0.03139500000000002 y[1] (numeric) = 0.03139499999999999 absolute error = 2.775557561562891e-17 relative error = 8.84076305641946e-14 % 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) = 0.03200000000000001 y[1] (numeric) = 0.03199999999999999 absolute error = 2.775557561562891e-17 relative error = 8.673617379884032e-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) = 0.03259500000000002 y[1] (numeric) = 0.03259499999999999 absolute error = 3.469446951953614e-17 relative error = 1.064410784461915e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = 0.03318000000000002 y[1] (numeric) = 0.03317999999999999 absolute error = 2.775557561562891e-17 relative error = 8.365152385662719e-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) = 0.03375500000000002 y[1] (numeric) = 0.03375499999999999 absolute error = 3.469446951953614e-17 relative error = 1.027832010651344e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = 0.03432000000000002 y[1] (numeric) = 0.03431999999999998 absolute error = 3.469446951953614e-17 relative error = 1.0109111165366e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = 0.03487500000000002 y[1] (numeric) = 0.03487499999999998 absolute error = 3.469446951953614e-17 relative error = 9.948234987680609e-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) = 0.03542000000000002 y[1] (numeric) = 0.03541999999999999 absolute error = 3.469446951953614e-17 relative error = 9.795163613646561e-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) = 0.03595500000000002 y[1] (numeric) = 0.03595499999999998 absolute error = 4.163336342344337e-17 relative error = 1.15792972947972e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (closed_form) = 0.03648000000000002 y[1] (numeric) = 0.03647999999999998 absolute error = 4.163336342344337e-17 relative error = 1.141265444721583e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (closed_form) = 0.03699500000000002 y[1] (numeric) = 0.03699499999999998 absolute error = 4.163336342344337e-17 relative error = 1.125378116595306e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = 0.03750000000000002 y[1] (numeric) = 0.03749999999999998 absolute error = 3.469446951953614e-17 relative error = 9.251858538542967e-14 % 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) = 0.03799500000000002 y[1] (numeric) = 0.03799499999999998 absolute error = 4.163336342344337e-17 relative error = 1.095759005749266e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = 0.03848000000000002 y[1] (numeric) = 0.03847999999999998 absolute error = 4.163336342344337e-17 relative error = 1.081948113914848e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = 0.03895500000000002 y[1] (numeric) = 0.03895499999999998 absolute error = 3.469446951953614e-17 relative error = 8.906294318967045e-14 % 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) = 0.03942000000000002 y[1] (numeric) = 0.03941999999999998 absolute error = 4.163336342344337e-17 relative error = 1.056148234993489e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = 0.03987500000000002 y[1] (numeric) = 0.03987499999999997 absolute error = 4.85722573273506e-17 relative error = 1.218113036422585e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = 0.04032000000000002 y[1] (numeric) = 0.04031999999999997 absolute error = 4.85722573273506e-17 relative error = 1.204669080539449e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = 0.04075500000000002 y[1] (numeric) = 0.04075499999999998 absolute error = 4.163336342344337e-17 relative error = 1.021552286184354e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = 0.04118000000000002 y[1] (numeric) = 0.04117999999999997 absolute error = 4.85722573273506e-17 relative error = 1.179510862733137e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = 0.04159500000000002 y[1] (numeric) = 0.04159499999999997 absolute error = 4.85722573273506e-17 relative error = 1.167742693288871e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = 0.04200000000000002 y[1] (numeric) = 0.04199999999999997 absolute error = 4.85722573273506e-17 relative error = 1.156482317317871e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = 0.04239500000000002 y[1] (numeric) = 0.04239499999999997 absolute error = 4.163336342344337e-17 relative error = 9.820347546513352e-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) = 0.04278000000000002 y[1] (numeric) = 0.04277999999999997 absolute error = 4.85722573273506e-17 relative error = 1.135396384463548e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = 0.04315500000000001 y[1] (numeric) = 0.04315499999999997 absolute error = 4.163336342344337e-17 relative error = 9.647402021421239e-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) = 0.04352000000000002 y[1] (numeric) = 0.04351999999999998 absolute error = 4.163336342344337e-17 relative error = 9.566489757225035e-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) = 0.04387500000000001 y[1] (numeric) = 0.04387499999999997 absolute error = 4.163336342344337e-17 relative error = 9.489085680556891e-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) = 0.04422000000000001 y[1] (numeric) = 0.04421999999999997 absolute error = 4.163336342344337e-17 relative error = 9.415052786848341e-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) = 0.04455500000000001 y[1] (numeric) = 0.04455499999999997 absolute error = 4.163336342344337e-17 relative error = 9.344262916270533e-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) = 0.04488000000000002 y[1] (numeric) = 0.04487999999999997 absolute error = 4.85722573273506e-17 relative error = 1.082269548292125e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = 0.04519500000000001 y[1] (numeric) = 0.04519499999999996 absolute error = 4.85722573273506e-17 relative error = 1.074726348652519e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = 0.04550000000000001 y[1] (numeric) = 0.04549999999999996 absolute error = 4.85722573273506e-17 relative error = 1.06752213906265e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = 0.04579500000000002 y[1] (numeric) = 0.04579499999999997 absolute error = 4.85722573273506e-17 relative error = 1.060645426953829e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = 0.04608000000000001 y[1] (numeric) = 0.04607999999999997 absolute error = 4.163336342344337e-17 relative error = 9.035018104045868e-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) = 0.04635500000000001 y[1] (numeric) = 0.04635499999999997 absolute error = 4.85722573273506e-17 relative error = 1.047832107158895e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = 0.04662000000000001 y[1] (numeric) = 0.04661999999999997 absolute error = 4.163336342344337e-17 relative error = 8.930365384693986e-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) = 0.04687500000000002 y[1] (numeric) = 0.04687499999999997 absolute error = 5.551115123125783e-17 relative error = 1.1842378929335e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = 0.04712000000000002 y[1] (numeric) = 0.04711999999999996 absolute error = 6.245004513516506e-17 relative error = 1.325340516450871e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = 0.04735500000000002 y[1] (numeric) = 0.04735499999999996 absolute error = 6.245004513516506e-17 relative error = 1.318763491398269e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (closed_form) = 0.04758000000000002 y[1] (numeric) = 0.04757999999999996 absolute error = 5.551115123125783e-17 relative error = 1.166690862363552e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (closed_form) = 0.04779500000000002 y[1] (numeric) = 0.04779499999999996 absolute error = 5.551115123125783e-17 relative error = 1.161442645282097e-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) = 0.04800000000000002 y[1] (numeric) = 0.04799999999999996 absolute error = 6.245004513516506e-17 relative error = 1.301042606982605e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (closed_form) = 0.04819500000000002 y[1] (numeric) = 0.04819499999999996 absolute error = 5.551115123125783e-17 relative error = 1.151803117154431e-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) = 0.04838000000000002 y[1] (numeric) = 0.04837999999999996 absolute error = 6.245004513516506e-17 relative error = 1.290823586919492e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (closed_form) = 0.04855500000000001 y[1] (numeric) = 0.04855499999999996 absolute error = 5.551115123125783e-17 relative error = 1.143263335006854e-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) = 0.04872000000000001 y[1] (numeric) = 0.04871999999999996 absolute error = 5.551115123125783e-17 relative error = 1.139391445633371e-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) = 0.04887500000000002 y[1] (numeric) = 0.04887499999999996 absolute error = 5.551115123125783e-17 relative error = 1.135778030307065e-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) = 0.04902000000000001 y[1] (numeric) = 0.04901999999999996 absolute error = 5.551115123125783e-17 relative error = 1.132418425770253e-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) = 0.04915500000000002 y[1] (numeric) = 0.04915499999999996 absolute error = 6.245004513516506e-17 relative error = 1.2704718774319e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (closed_form) = 0.04928000000000001 y[1] (numeric) = 0.04927999999999996 absolute error = 5.551115123125783e-17 relative error = 1.126443815569355e-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) = 0.04939500000000002 y[1] (numeric) = 0.04939499999999995 absolute error = 6.245004513516506e-17 relative error = 1.264298919630834e-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) = 0.04950000000000002 y[1] (numeric) = 0.04949999999999995 absolute error = 6.245004513516506e-17 relative error = 1.261617073437678e-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) = 0.04959500000000001 y[1] (numeric) = 0.04959499999999995 absolute error = 6.245004513516506e-17 relative error = 1.259200426155158e-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) = 0.04968000000000001 y[1] (numeric) = 0.04967999999999995 absolute error = 5.551115123125783e-17 relative error = 1.117374219630793e-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) = 0.04975500000000001 y[1] (numeric) = 0.04975499999999995 absolute error = 5.551115123125783e-17 relative error = 1.115689905160443e-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) = 0.04982000000000001 y[1] (numeric) = 0.04981999999999995 absolute error = 5.551115123125783e-17 relative error = 1.11423426798992e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (closed_form) = 0.04987500000000001 y[1] (numeric) = 0.04987499999999995 absolute error = 5.551115123125783e-17 relative error = 1.113005538471335e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (closed_form) = 0.04992000000000001 y[1] (numeric) = 0.04991999999999995 absolute error = 5.551115123125783e-17 relative error = 1.112002228190261e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (closed_form) = 0.04995500000000001 y[1] (numeric) = 0.04995499999999995 absolute error = 5.551115123125783e-17 relative error = 1.111223125438051e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (closed_form) = 0.04998000000000001 y[1] (numeric) = 0.04997999999999995 absolute error = 6.245004513516506e-17 relative error = 1.249500702984495e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (closed_form) = 0.049995 y[1] (numeric) = 0.04999499999999995 absolute error = 5.551115123125783e-17 relative error = 1.11033405803096e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (closed_form) = 0.05 y[1] (numeric) = 0.04999999999999995 absolute error = 5.551115123125783e-17 relative error = 1.110223024625157e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (closed_form) = 0.049995 y[1] (numeric) = 0.04999499999999995 absolute error = 5.551115123125783e-17 relative error = 1.11033405803096e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = 0.04998000000000001 y[1] (numeric) = 0.04997999999999995 absolute error = 6.245004513516506e-17 relative error = 1.249500702984495e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = 0.04995500000000001 y[1] (numeric) = 0.04995499999999995 absolute error = 6.245004513516506e-17 relative error = 1.250126016117807e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = 0.04992000000000002 y[1] (numeric) = 0.04991999999999996 absolute error = 6.245004513516506e-17 relative error = 1.251002506714043e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999995 y[1] (closed_form) = 0.04987500000000003 y[1] (numeric) = 0.04987499999999996 absolute error = 6.938893903907228e-17 relative error = 1.391256923089168e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.059999999999994 y[1] (closed_form) = 0.04982000000000004 y[1] (numeric) = 0.04981999999999996 absolute error = 7.632783294297951e-17 relative error = 1.532072118486139e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y[1] (closed_form) = 0.04975500000000006 y[1] (numeric) = 0.04975499999999997 absolute error = 9.020562075079397e-17 relative error = 1.812996095885717e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y[1] (closed_form) = 0.04968000000000007 y[1] (numeric) = 0.04967999999999997 absolute error = 9.71445146547012e-17 relative error = 1.955404884353886e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y[1] (closed_form) = 0.04959500000000009 y[1] (numeric) = 0.04959499999999998 absolute error = 1.110223024625157e-16 relative error = 2.238578535386943e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y[1] (closed_form) = 0.04950000000000011 y[1] (numeric) = 0.04949999999999999 absolute error = 1.179611963664229e-16 relative error = 2.383054472048942e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y[1] (closed_form) = 0.04939500000000013 y[1] (numeric) = 0.049395 absolute error = 1.249000902703301e-16 relative error = 2.528597839261662e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = 0.04928000000000016 y[1] (numeric) = 0.04928000000000001 absolute error = 1.457167719820518e-16 relative error = 2.956915015869548e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = 0.04915500000000018 y[1] (numeric) = 0.04915500000000003 absolute error = 1.595945597898663e-16 relative error = 3.246761464548177e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = 0.04902000000000022 y[1] (numeric) = 0.04902000000000004 absolute error = 1.734723475976807e-16 relative error = 3.538807580532027e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y[1] (closed_form) = 0.04887500000000024 y[1] (numeric) = 0.04887500000000006 absolute error = 1.804112415015879e-16 relative error = 3.691278598497945e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y[1] (closed_form) = 0.04872000000000028 y[1] (numeric) = 0.04872000000000008 absolute error = 2.012279232133096e-16 relative error = 4.130293990420946e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y[1] (closed_form) = 0.04855500000000031 y[1] (numeric) = 0.04855500000000009 absolute error = 2.151057110211241e-16 relative error = 4.430145423151534e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y[1] (closed_form) = 0.04838000000000035 y[1] (numeric) = 0.04838000000000011 absolute error = 2.42861286636753e-16 relative error = 5.019869504686879e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y[1] (closed_form) = 0.04819500000000039 y[1] (numeric) = 0.04819500000000013 absolute error = 2.636779683484747e-16 relative error = 5.471064806483506e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y[1] (closed_form) = 0.04800000000000043 y[1] (numeric) = 0.04800000000000015 absolute error = 2.844946500601964e-16 relative error = 5.926971876254038e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y[1] (closed_form) = 0.04779500000000048 y[1] (numeric) = 0.04779500000000016 absolute error = 3.122502256758253e-16 relative error = 6.533114879711731e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = 0.04758000000000052 y[1] (numeric) = 0.04758000000000018 absolute error = 3.400058012914542e-16 relative error = 7.14598153197668e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = 0.04735500000000058 y[1] (numeric) = 0.04735500000000021 absolute error = 3.677613769070831e-16 relative error = 7.766051671567493e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = 0.04712000000000062 y[1] (numeric) = 0.04712000000000024 absolute error = 3.816391647148976e-16 relative error = 8.099303156088552e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y[1] (closed_form) = 0.04687500000000068 y[1] (numeric) = 0.04687500000000026 absolute error = 4.163336342344337e-16 relative error = 8.881784197001123e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y[1] (closed_form) = 0.04662000000000073 y[1] (numeric) = 0.04662000000000029 absolute error = 4.371503159461554e-16 relative error = 9.37688365392854e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y[1] (closed_form) = 0.04635500000000078 y[1] (numeric) = 0.04635500000000032 absolute error = 4.649058915617843e-16 relative error = 1.002925016852069e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y[1] (closed_form) = 0.04608000000000084 y[1] (numeric) = 0.04608000000000035 absolute error = 4.926614671774132e-16 relative error = 1.069143808978742e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y[1] (closed_form) = 0.0457950000000009 y[1] (numeric) = 0.04579500000000038 absolute error = 5.204170427930421e-16 relative error = 1.136405814593366e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y[1] (closed_form) = 0.04550000000000097 y[1] (numeric) = 0.04550000000000042 absolute error = 5.48172618408671e-16 relative error = 1.204774985513537e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y[1] (closed_form) = 0.04519500000000104 y[1] (numeric) = 0.04519500000000045 absolute error = 5.898059818321144e-16 relative error = 1.305024851935172e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = 0.0448800000000011 y[1] (numeric) = 0.04488000000000048 absolute error = 6.175615574477433e-16 relative error = 1.376028425685669e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = 0.04455500000000118 y[1] (numeric) = 0.04455500000000052 absolute error = 6.591949208711867e-16 relative error = 1.479508295076129e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = 0.04422000000000124 y[1] (numeric) = 0.04422000000000055 absolute error = 6.938893903907228e-16 relative error = 1.56917546447468e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y[1] (closed_form) = 0.04387500000000133 y[1] (numeric) = 0.04387500000000059 absolute error = 7.424616477180734e-16 relative error = 1.692220279699261e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y[1] (closed_form) = 0.0435200000000014 y[1] (numeric) = 0.04352000000000063 absolute error = 7.771561172376096e-16 relative error = 1.78574475468195e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y[1] (closed_form) = 0.04315500000000148 y[1] (numeric) = 0.04315500000000067 absolute error = 8.187894806610529e-16 relative error = 1.897322397546112e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y[1] (closed_form) = 0.04278000000000157 y[1] (numeric) = 0.04278000000000071 absolute error = 8.604228440844963e-16 relative error = 2.011273595335355e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y[1] (closed_form) = 0.04239500000000165 y[1] (numeric) = 0.04239500000000075 absolute error = 9.020562075079397e-16 relative error = 2.127741968411144e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y[1] (closed_form) = 0.04200000000000173 y[1] (numeric) = 0.04200000000000079 absolute error = 9.367506770274758e-16 relative error = 2.230358754827232e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y[1] (closed_form) = 0.04159500000000182 y[1] (numeric) = 0.04159500000000084 absolute error = 9.853229343548264e-16 relative error = 2.368849463528749e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = 0.04118000000000191 y[1] (numeric) = 0.04118000000000089 absolute error = 1.020017403874363e-15 relative error = 2.476972811739474e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = 0.04075500000000201 y[1] (numeric) = 0.04075500000000094 absolute error = 1.07552855510562e-15 relative error = 2.639010072642786e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = 0.0403200000000021 y[1] (numeric) = 0.04032000000000098 absolute error = 1.124100812432971e-15 relative error = 2.787948443534009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y[1] (closed_form) = 0.0398750000000022 y[1] (numeric) = 0.03987500000000103 absolute error = 1.172673069760322e-15 relative error = 2.94087290222008e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y[1] (closed_form) = 0.0394200000000023 y[1] (numeric) = 0.03942000000000107 absolute error = 1.228184220991579e-15 relative error = 3.115637293230613e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y[1] (closed_form) = 0.0389550000000024 y[1] (numeric) = 0.03895500000000112 absolute error = 1.283695372222837e-15 relative error = 3.295328898017605e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y[1] (closed_form) = 0.0384800000000025 y[1] (numeric) = 0.03848000000000117 absolute error = 1.325328735646281e-15 relative error = 3.444201495962044e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y[1] (closed_form) = 0.03799500000000261 y[1] (numeric) = 0.03799500000000123 absolute error = 1.380839886877538e-15 relative error = 3.63426736906815e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y[1] (closed_form) = 0.03750000000000271 y[1] (numeric) = 0.03750000000000128 absolute error = 1.429412144204889e-15 relative error = 3.811765717879428e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = 0.03699500000000283 y[1] (numeric) = 0.03699500000000134 absolute error = 1.491862189340054e-15 relative error = 4.032604917799541e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = 0.03648000000000295 y[1] (numeric) = 0.03648000000000139 absolute error = 1.561251128379126e-15 relative error = 4.279745417705592e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = 0.03595500000000307 y[1] (numeric) = 0.03595500000000145 absolute error = 1.616762279610384e-15 relative error = 4.496627116145866e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = 0.03542000000000319 y[1] (numeric) = 0.03542000000000151 absolute error = 1.672273430841642e-15 relative error = 4.721268861777221e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y[1] (closed_form) = 0.03487500000000331 y[1] (numeric) = 0.03487500000000157 absolute error = 1.734723475976807e-15 relative error = 4.974117493839835e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y[1] (closed_form) = 0.03432000000000342 y[1] (numeric) = 0.03432000000000163 absolute error = 1.790234627208065e-15 relative error = 5.216301361328341e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.569999999999938 y[1] (closed_form) = 0.03375500000000355 y[1] (numeric) = 0.03375500000000169 absolute error = 1.859623566247137e-15 relative error = 5.509179577090629e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.579999999999937 y[1] (closed_form) = 0.03318000000000366 y[1] (numeric) = 0.03318000000000175 absolute error = 1.915134717478395e-15 relative error = 5.771955146106641e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.589999999999936 y[1] (closed_form) = 0.03259500000000379 y[1] (numeric) = 0.03259500000000181 absolute error = 1.97758476261356e-15 relative error = 6.067141471432214e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.599999999999935 y[1] (closed_form) = 0.03200000000000394 y[1] (numeric) = 0.03200000000000187 absolute error = 2.067790383364354e-15 relative error = 6.461844948012811e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.609999999999933 y[1] (closed_form) = 0.03139500000000406 y[1] (numeric) = 0.03139500000000194 absolute error = 2.116362640691705e-15 relative error = 6.741081830518972e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.619999999999932 y[1] (closed_form) = 0.03078000000000419 y[1] (numeric) = 0.03078000000000201 absolute error = 2.185751579730777e-15 relative error = 7.101207211599997e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.629999999999931 y[1] (closed_form) = 0.03015500000000434 y[1] (numeric) = 0.03015500000000208 absolute error = 2.269018306577664e-15 relative error = 7.524517680574819e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.63999999999993 y[1] (closed_form) = 0.02952000000000446 y[1] (numeric) = 0.02952000000000215 absolute error = 2.314121116953061e-15 relative error = 7.839163675314062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.649999999999929 y[1] (closed_form) = 0.02887500000000462 y[1] (numeric) = 0.02887500000000222 absolute error = 2.400857290751901e-15 relative error = 8.314657283987937e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.659999999999928 y[1] (closed_form) = 0.02822000000000477 y[1] (numeric) = 0.02822000000000229 absolute error = 2.477185123694881e-15 relative error = 8.778118794098022e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.669999999999927 y[1] (closed_form) = 0.02755500000000491 y[1] (numeric) = 0.02755500000000236 absolute error = 2.546574062733953e-15 relative error = 9.241785747535834e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.679999999999926 y[1] (closed_form) = 0.02688000000000504 y[1] (numeric) = 0.02688000000000243 absolute error = 2.605554660917164e-15 relative error = 9.693283708767395e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.689999999999925 y[1] (closed_form) = 0.02619500000000521 y[1] (numeric) = 0.02619500000000251 absolute error = 2.706168622523819e-15 relative error = 1.033085941028166e-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) = 0.02550000000000535 y[1] (numeric) = 0.02550000000000258 absolute error = 2.772088114610938e-15 relative error = 1.087093378278571e-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) = 0.02479500000000551 y[1] (numeric) = 0.02479500000000266 absolute error = 2.851885394505871e-15 relative error = 1.150185680381221e-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) = 0.02408000000000565 y[1] (numeric) = 0.02408000000000273 absolute error = 2.91780488659299e-15 relative error = 1.211712992770891e-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) = 0.02335500000000582 y[1] (numeric) = 0.02335500000000281 absolute error = 3.00454106039183e-15 relative error = 1.286465878994255e-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) = 0.022620000000006 y[1] (numeric) = 0.02262000000000289 absolute error = 3.105155021998485e-15 relative error = 1.372747578248303e-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) = 0.02187500000000614 y[1] (numeric) = 0.02187500000000298 absolute error = 3.164135620181696e-15 relative error = 1.446461997796941e-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) = 0.0211200000000063 y[1] (numeric) = 0.02112000000000306 absolute error = 3.243932900076629e-15 relative error = 1.53595307768734e-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) = 0.02035500000000648 y[1] (numeric) = 0.02035500000000314 absolute error = 3.337607967779377e-15 relative error = 1.639699320942429e-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) = 0.01958000000000665 y[1] (numeric) = 0.01958000000000323 absolute error = 3.41740524767431e-15 relative error = 1.745355080527656e-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) = 0.01879500000000683 y[1] (numeric) = 0.01879500000000332 absolute error = 3.518019209280965e-15 relative error = 1.871784628507414e-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) = 0.01800000000000701 y[1] (numeric) = 0.0180000000000034 absolute error = 3.611694276983712e-15 relative error = 2.006496820545725e-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) = 0.01719500000000718 y[1] (numeric) = 0.01719500000000349 absolute error = 3.691491556878645e-15 relative error = 2.146840102865429e-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) = 0.01638000000000736 y[1] (numeric) = 0.01638000000000357 absolute error = 3.788636071533347e-15 relative error = 2.312964634634703e-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) = 0.01555500000000754 y[1] (numeric) = 0.01555500000000366 absolute error = 3.875372245332187e-15 relative error = 2.491399707701903e-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) = 0.01472000000000773 y[1] (numeric) = 0.01472000000000375 absolute error = 3.974251483462865e-15 relative error = 2.699899105611942e-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) = 0.01387500000000791 y[1] (numeric) = 0.01387500000000385 absolute error = 4.062722380737682e-15 relative error = 2.928088202331796e-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) = 0.01302000000000808 y[1] (numeric) = 0.01302000000000394 absolute error = 4.144254384108592e-15 relative error = 3.182991078422443e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.869999999999905 y[1] (closed_form) = 0.01215500000000827 y[1] (numeric) = 0.01215500000000403 absolute error = 4.241398898763293e-15 relative error = 3.489427312842787e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.879999999999904 y[1] (closed_form) = 0.01128000000000848 y[1] (numeric) = 0.01128000000000412 absolute error = 4.355890648177763e-15 relative error = 3.861605184551852e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.889999999999903 y[1] (closed_form) = 0.01039500000000868 y[1] (numeric) = 0.01039500000000422 absolute error = 4.458239333260394e-15 relative error = 4.288830527423447e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.899999999999902 y[1] (closed_form) = 0.009500000000008862 y[1] (numeric) = 0.009500000000004314 absolute error = 4.548444954011188e-15 relative error = 4.787836793691521e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9099999999999 y[1] (closed_form) = 0.008595000000009068 y[1] (numeric) = 0.008595000000004412 absolute error = 4.65599780952175e-15 relative error = 5.417100418286025e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.919999999999899 y[1] (closed_form) = 0.007680000000009263 y[1] (numeric) = 0.007680000000004512 absolute error = 4.750540238962486e-15 relative error = 6.185599269474943e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.929999999999898 y[1] (closed_form) = 0.006755000000009476 y[1] (numeric) = 0.006755000000004613 absolute error = 4.86242990316299e-15 relative error = 7.198267806300769e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.939999999999897 y[1] (closed_form) = 0.005820000000009679 y[1] (numeric) = 0.005820000000004716 absolute error = 4.962176503031657e-15 relative error = 8.526076465675952e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.949999999999896 y[1] (closed_form) = 0.004875000000009871 y[1] (numeric) = 0.004875000000004818 absolute error = 5.053249485520439e-15 relative error = 1.036563997027735e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999895 y[1] (closed_form) = 0.003920000000010082 y[1] (numeric) = 0.003920000000004921 absolute error = 5.160802341031001e-15 relative error = 1.316531209443298e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999894 y[1] (closed_form) = 0.00295500000001031 y[1] (numeric) = 0.002955000000005026 absolute error = 5.284401388694349e-15 relative error = 1.788291502089987e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999893 y[1] (closed_form) = 0.001980000000010501 y[1] (numeric) = 0.001980000000005132 absolute error = 5.368969158148218e-15 relative error = 2.711600584908961e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999892 y[1] (closed_form) = 0.0009950000000107373 y[1] (numeric) = 0.0009950000000052395 absolute error = 5.497772376239496e-15 relative error = 5.525399373045395e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999891 y[1] (closed_form) = 1.093569679255779e-14 y[1] (numeric) = 5.347949188529155e-15 absolute error = 5.587747604028637e-15 relative error = 51.09640208597716 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.00999999999989 y[1] (closed_form) = -0.001004999999988848 y[1] (numeric) = -0.001004999999994543 absolute error = 5.694446650328366e-15 relative error = 5.666116070041347e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999889 y[1] (closed_form) = -0.002019999999988642 y[1] (numeric) = -0.002019999999994432 absolute error = 5.790073281941588e-15 relative error = 2.866372911868388e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999887 y[1] (closed_form) = -0.003044999999988418 y[1] (numeric) = -0.003044999999994321 absolute error = 5.90283030788008e-15 relative error = 1.93853212082185e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.039999999999886 y[1] (closed_form) = -0.004079999999988176 y[1] (numeric) = -0.004079999999994209 absolute error = 6.032500887709347e-15 relative error = 1.478554139148732e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999885 y[1] (closed_form) = -0.005124999999987945 y[1] (numeric) = -0.005124999999994094 absolute error = 6.149594722337781e-15 relative error = 1.199920921434585e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999884 y[1] (closed_form) = -0.006179999999987723 y[1] (numeric) = -0.006179999999993979 absolute error = 6.255412854372366e-15 relative error = 1.01220272724673e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999883 y[1] (closed_form) = -0.007244999999987484 y[1] (numeric) = -0.007244999999993861 absolute error = 6.377710859428731e-15 relative error = 8.802913539599377e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.079999999999882 y[1] (closed_form) = -0.008319999999987254 y[1] (numeric) = -0.008319999999993744 absolute error = 6.489600523629235e-15 relative error = 7.800000629374011e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.089999999999881 y[1] (closed_form) = -0.009404999999987007 y[1] (numeric) = -0.009404999999993623 absolute error = 6.616235337375542e-15 relative error = 7.034806313008701e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.09999999999988 y[1] (closed_form) = -0.01049999999998677 y[1] (numeric) = -0.0104999999999935 absolute error = 6.730727086790012e-15 relative error = 6.410216273141421e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999879 y[1] (closed_form) = -0.01160499999998654 y[1] (numeric) = -0.01160499999999338 absolute error = 6.84001466577655e-15 relative error = 5.894023839538546e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999878 y[1] (closed_form) = -0.0127199999999863 y[1] (numeric) = -0.01271999999999326 absolute error = 6.96491475604688e-15 relative error = 5.475561915137094e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.129999999999876 y[1] (closed_form) = -0.01384499999998604 y[1] (numeric) = -0.01384499999999314 absolute error = 7.107162081076979e-15 relative error = 5.133378173408557e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.139999999999875 y[1] (closed_form) = -0.01497999999998578 y[1] (numeric) = -0.01497999999999302 absolute error = 7.237266341775239e-15 relative error = 4.831285942444665e-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) = -0.01612499999998554 y[1] (numeric) = -0.01612499999999289 absolute error = 7.351758091189708e-15 relative error = 4.559229823997706e-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) = -0.01727999999998528 y[1] (numeric) = -0.01727999999999276 absolute error = 7.483597075363946e-15 relative error = 4.33078534454301e-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) = -0.01844499999998503 y[1] (numeric) = -0.01844499999999264 absolute error = 7.61196661258623e-15 relative error = 4.126845547623968e-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) = -0.01961999999998476 y[1] (numeric) = -0.01961999999999251 absolute error = 7.754213937616328e-15 relative error = 3.95219874496552e-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) = -0.0208049999999845 y[1] (numeric) = -0.02080499999999239 absolute error = 7.882583474838611e-15 relative error = 3.788792826168942e-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) = -0.02199999999998425 y[1] (numeric) = -0.02199999999999226 absolute error = 8.004014118156988e-15 relative error = 3.638188235528507e-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) = -0.02320499999998399 y[1] (numeric) = -0.02320499999999213 absolute error = 8.139322549283179e-15 relative error = 3.507572742636844e-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) = -0.0244199999999837 y[1] (numeric) = -0.02441999999999199 absolute error = 8.288508768217184e-15 relative error = 3.394147734734937e-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) = -0.02564499999998346 y[1] (numeric) = -0.02564499999999186 absolute error = 8.403000517631654e-15 relative error = 3.27666231921898e-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) = -0.0268799999999832 y[1] (numeric) = -0.02687999999999173 absolute error = 8.531370054853937e-15 relative error = 3.173872788266098e-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) = -0.02812499999998291 y[1] (numeric) = -0.02812499999999159 absolute error = 8.673617379884035e-15 relative error = 3.083952846182864e-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) = -0.02937999999998264 y[1] (numeric) = -0.02937999999999145 absolute error = 8.808925811010226e-15 relative error = 2.998272910488574e-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) = -0.03064499999998233 y[1] (numeric) = -0.03064499999999131 absolute error = 8.985867605559861e-15 relative error = 2.932245914689197e-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) = -0.03191999999998207 y[1] (numeric) = -0.03191999999999117 absolute error = 9.096889908022376e-15 relative error = 2.849902853392069e-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) = -0.03320499999998178 y[1] (numeric) = -0.03320499999999103 absolute error = 9.249545573908335e-15 relative error = 2.785588186692791e-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) = -0.03449999999998149 y[1] (numeric) = -0.03449999999999089 absolute error = 9.395262345890387e-15 relative error = 2.723264448085631e-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) = -0.03580499999998121 y[1] (numeric) = -0.03580499999999075 absolute error = 9.534040223968532e-15 relative error = 2.662767832418247e-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) = -0.03711999999998095 y[1] (numeric) = -0.0371199999999906 absolute error = 9.658940314238862e-15 relative error = 2.602085213966546e-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) = -0.03844499999998063 y[1] (numeric) = -0.03844499999999046 absolute error = 9.825473767932635e-15 relative error = 2.555722140184051e-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) = -0.03977999999998033 y[1] (numeric) = -0.03977999999999032 absolute error = 9.985068327722502e-15 relative error = 2.510072480575022e-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) = -0.04112499999998004 y[1] (numeric) = -0.04112499999999017 absolute error = 1.013078509970455e-14 relative error = 2.463412790202911e-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) = -0.04247999999997976 y[1] (numeric) = -0.04247999999999002 absolute error = 1.026262408387879e-14 relative error = 2.415871959482976e-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) = -0.04384499999997943 y[1] (numeric) = -0.04384499999998987 absolute error = 1.044303532538038e-14 relative error = 2.381807577918868e-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) = -0.04521999999997917 y[1] (numeric) = -0.04521999999998972 absolute error = 1.055405762784289e-14 relative error = 2.333935786786324e-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) = -0.04660499999997886 y[1] (numeric) = -0.04660499999998956 absolute error = 1.070671329372885e-14 relative error = 2.297331465236286e-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) = -0.04799999999997856 y[1] (numeric) = -0.04799999999998941 absolute error = 1.085243006571091e-14 relative error = 2.260922930357448e-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) = -0.04940499999997822 y[1] (numeric) = -0.04940499999998926 absolute error = 1.10397802011164e-14 relative error = 2.234547151325021e-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) = -0.05081999999997794 y[1] (numeric) = -0.0508199999999891 absolute error = 1.116468029138673e-14 relative error = 2.196906786971975e-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) = -0.05224499999997761 y[1] (numeric) = -0.05224499999998895 absolute error = 1.13312137450805e-14 relative error = 2.168860894838809e-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) = -0.0536799999999773 y[1] (numeric) = -0.05367999999998879 absolute error = 1.149080830487037e-14 relative error = 2.14061257542385e-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) = -0.055124999999977 y[1] (numeric) = -0.05512499999998863 absolute error = 1.163652507685242e-14 relative error = 2.110934254305175e-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) = -0.05657999999997665 y[1] (numeric) = -0.05657999999998848 absolute error = 1.183081410616182e-14 relative error = 2.090988707346537e-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) = -0.05804499999997631 y[1] (numeric) = -0.05804499999998832 absolute error = 1.201122534766341e-14 relative error = 2.069295434174919e-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) = -0.05951999999997598 y[1] (numeric) = -0.05951999999998816 absolute error = 1.217775880135719e-14 relative error = 2.045994422271858e-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) = -0.06100499999997566 y[1] (numeric) = -0.06100499999998799 absolute error = 1.233041446724314e-14 relative error = 2.021213747602338e-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) = -0.06249999999997535 y[1] (numeric) = -0.06249999999998783 absolute error = 1.24761312392252e-14 relative error = 1.996180998276819e-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) = -0.064004999999975 y[1] (numeric) = -0.06400499999998766 absolute error = 1.265654248072678e-14 relative error = 1.97743027587403e-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) = -0.06551999999997471 y[1] (numeric) = -0.06551999999998749 absolute error = 1.278144257099711e-14 relative error = 1.950769623168811e-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) = -0.06704499999997438 y[1] (numeric) = -0.06704499999998732 absolute error = 1.294797602469089e-14 relative error = 1.931236635796232e-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) = -0.068579999999974 y[1] (numeric) = -0.06857999999998715 absolute error = 1.315614284180811e-14 relative error = 1.918364368884966e-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) = -0.07012499999997368 y[1] (numeric) = -0.07012499999998699 absolute error = 1.330879850769406e-14 relative error = 1.897867879885784e-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) = -0.07167999999997332 y[1] (numeric) = -0.07167999999998682 absolute error = 1.350308753700347e-14 relative error = 1.883801274694265e-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) = -0.07324499999997297 y[1] (numeric) = -0.07324499999998665 absolute error = 1.368349877850505e-14 relative error = 1.86818196170525e-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) = -0.07481999999997263 y[1] (numeric) = -0.07481999999998648 absolute error = 1.385003223219883e-14 relative error = 1.851113637022707e-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) = -0.0764049999999723 y[1] (numeric) = -0.0764049999999863 absolute error = 1.400268789808479e-14 relative error = 1.832692611490068e-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) = -0.07799999999997193 y[1] (numeric) = -0.07799999999998614 absolute error = 1.4210854715202e-14 relative error = 1.821904450667579e-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) = -0.07960499999997162 y[1] (numeric) = -0.07960499999998595 absolute error = 1.433575480547233e-14 relative error = 1.80086110237767e-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) = -0.08121999999997126 y[1] (numeric) = -0.08121999999998578 absolute error = 1.451616604697392e-14 relative error = 1.787264965153787e-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) = -0.08284499999997086 y[1] (numeric) = -0.0828449999999856 absolute error = 1.473821065189895e-14 relative error = 1.779010278460274e-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) = -0.08447999999997052 y[1] (numeric) = -0.08447999999998541 absolute error = 1.489086631778491e-14 relative error = 1.762649895571746e-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) = -0.08612499999997014 y[1] (numeric) = -0.08612499999998524 absolute error = 1.509903313490213e-14 relative error = 1.75315333932161e-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) = -0.08777999999996983 y[1] (numeric) = -0.08777999999998505 absolute error = 1.522393322517246e-14 relative error = 1.734328232533344e-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) = -0.08944499999996941 y[1] (numeric) = -0.08944499999998487 absolute error = 1.54598556179053e-14 relative error = 1.728420327342008e-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) = -0.09111999999996906 y[1] (numeric) = -0.0911199999999847 absolute error = 1.564026685940689e-14 relative error = 1.716447197038214e-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) = -0.09280499999996872 y[1] (numeric) = -0.09280499999998451 absolute error = 1.579292252529285e-14 relative error = 1.701731859845717e-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) = -0.09449999999996833 y[1] (numeric) = -0.09449999999998433 absolute error = 1.600108934241007e-14 relative error = 1.693236967451368e-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) = -0.09620499999996796 y[1] (numeric) = -0.09620499999998414 absolute error = 1.618150058391166e-14 relative error = 1.681981246704126e-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) = -0.09791999999996759 y[1] (numeric) = -0.09791999999998395 absolute error = 1.636191182541324e-14 relative error = 1.67094687759586e-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) = -0.09964499999996718 y[1] (numeric) = -0.09964499999998376 absolute error = 1.658395643033828e-14 relative error = 1.664303921957322e-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) = -0.1013799999999668 y[1] (numeric) = -0.1013799999999836 absolute error = 1.673661209622423e-14 relative error = 1.650879078341853e-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) = -0.1031249999999664 y[1] (numeric) = -0.1031249999999834 absolute error = 1.694477891334145e-14 relative error = 1.643130076445766e-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) = -0.1048799999999661 y[1] (numeric) = -0.1048799999999832 absolute error = 1.712519015484304e-14 relative error = 1.632836589897844e-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) = -0.1066449999999656 y[1] (numeric) = -0.106644999999983 absolute error = 1.736111254757589e-14 relative error = 1.627934975627688e-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) = -0.1084199999999653 y[1] (numeric) = -0.1084199999999828 absolute error = 1.752764600126966e-14 relative error = 1.616643239372373e-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) = -0.1102049999999649 y[1] (numeric) = -0.1102049999999826 absolute error = 1.773581281838688e-14 relative error = 1.609347381551883e-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) = -0.1119999999999645 y[1] (numeric) = -0.1119999999999824 absolute error = 1.794397963550409e-14 relative error = 1.602141038884802e-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) = -0.1138049999999641 y[1] (numeric) = -0.1138049999999822 absolute error = 1.813826866481349e-14 relative error = 1.593802439683601e-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) = -0.1156199999999637 y[1] (numeric) = -0.115619999999982 absolute error = 1.831867990631508e-14 relative error = 1.584386776191043e-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) = -0.1174449999999633 y[1] (numeric) = -0.1174449999999818 absolute error = 1.854072451124011e-14 relative error = 1.578672954254835e-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) = -0.1192799999999629 y[1] (numeric) = -0.1192799999999816 absolute error = 1.874889132835733e-14 relative error = 1.571838642552244e-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) = -0.1211249999999625 y[1] (numeric) = -0.1211249999999814 absolute error = 1.895705814547455e-14 relative error = 1.565082199833265e-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) = -0.1229799999999621 y[1] (numeric) = -0.1229799999999812 absolute error = 1.913746938697614e-14 relative error = 1.556144851763054e-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) = -0.1248449999999616 y[1] (numeric) = -0.124844999999981 absolute error = 1.937339177970898e-14 relative error = 1.551795568882609e-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) = -0.1267199999999613 y[1] (numeric) = -0.1267199999999808 absolute error = 1.953992523340276e-14 relative error = 1.541976423090967e-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) = -0.1286049999999608 y[1] (numeric) = -0.1286049999999806 absolute error = 1.973421426271216e-14 relative error = 1.534482661072133e-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) = -0.1304999999999604 y[1] (numeric) = -0.1304999999999804 absolute error = 1.992850329202156e-14 relative error = 1.527088374868016e-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) = -0.13240499999996 y[1] (numeric) = -0.1324049999999801 absolute error = 2.017830347256222e-14 relative error = 1.523983495530254e-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) = -0.1343199999999596 y[1] (numeric) = -0.1343199999999799 absolute error = 2.034483692625599e-14 relative error = 1.514654327446554e-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) = -0.1362449999999591 y[1] (numeric) = -0.1362449999999797 absolute error = 2.056688153118102e-14 relative error = 1.509551288574787e-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) = -0.1381799999999587 y[1] (numeric) = -0.1381799999999795 absolute error = 2.078892613610606e-14 relative error = 1.504481555660173e-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) = -0.1401249999999583 y[1] (numeric) = -0.1401249999999793 absolute error = 2.098321516541546e-14 relative error = 1.497464061760692e-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) = -0.1420799999999579 y[1] (numeric) = -0.1420799999999791 absolute error = 2.123301534595612e-14 relative error = 1.494440832345328e-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) = -0.1440449999999575 y[1] (numeric) = -0.1440449999999789 absolute error = 2.139954879964989e-14 relative error = 1.485615522902997e-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) = -0.146019999999957 y[1] (numeric) = -0.1460199999999786 absolute error = 2.162159340457492e-14 relative error = 1.480728215626715e-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) = -0.1480049999999566 y[1] (numeric) = -0.1480049999999784 absolute error = 2.184363800949995e-14 relative error = 1.475871626600883e-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) = -0.1499999999999561 y[1] (numeric) = -0.1499999999999782 absolute error = 2.209343819004062e-14 relative error = 1.472895879336472e-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) = -0.1520049999999557 y[1] (numeric) = -0.152004999999978 absolute error = 2.228772721935002e-14 relative error = 1.466249611483603e-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) = -0.1540199999999552 y[1] (numeric) = -0.1540199999999778 absolute error = 2.250977182427505e-14 relative error = 1.461483692006336e-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) = -0.1560449999999548 y[1] (numeric) = -0.1560449999999775 absolute error = 2.273181642920008e-14 relative error = 1.45674750419473e-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) = -0.1580799999999544 y[1] (numeric) = -0.1580799999999773 absolute error = 2.295386103412511e-14 relative error = 1.452040804284649e-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) = -0.1601249999999539 y[1] (numeric) = -0.1601249999999771 absolute error = 2.320366121466577e-14 relative error = 1.449096719105227e-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) = -0.1621799999999535 y[1] (numeric) = -0.1621799999999769 absolute error = 2.339795024397517e-14 relative error = 1.442714899739912e-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) = -0.164244999999953 y[1] (numeric) = -0.1642449999999767 absolute error = 2.364775042451583e-14 relative error = 1.439785103018211e-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) = -0.1663199999999526 y[1] (numeric) = -0.1663199999999764 absolute error = 2.386979502944087e-14 relative error = 1.435172861318403e-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) = -0.1684049999999521 y[1] (numeric) = -0.1684049999999762 absolute error = 2.414735078559715e-14 relative error = 1.433885620118407e-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) = -0.1704999999999516 y[1] (numeric) = -0.170499999999976 absolute error = 2.434163981490656e-14 relative error = 1.427662159232461e-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) = -0.1726049999999512 y[1] (numeric) = -0.1726049999999758 absolute error = 2.459143999544722e-14 relative error = 1.424723501373319e-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) = -0.1747199999999507 y[1] (numeric) = -0.1747199999999755 absolute error = 2.484124017598788e-14 relative error = 1.421774277472235e-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) = -0.1768449999999502 y[1] (numeric) = -0.1768449999999753 absolute error = 2.506328478091291e-14 relative error = 1.417245880908138e-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) = -0.1789799999999497 y[1] (numeric) = -0.178979999999975 absolute error = 2.531308496145357e-14 relative error = 1.414296846656648e-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) = -0.1811249999999493 y[1] (numeric) = -0.1811249999999748 absolute error = 2.550737399076297e-14 relative error = 1.408274616467639e-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) = -0.1832799999999488 y[1] (numeric) = -0.1832799999999746 absolute error = 2.575717417130363e-14 relative error = 1.40534560079173e-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) = -0.1854449999999483 y[1] (numeric) = -0.1854449999999743 absolute error = 2.597921877622866e-14 relative error = 1.40091233391226e-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) = -0.1876199999999478 y[1] (numeric) = -0.1876199999999741 absolute error = 2.625677453238495e-14 relative error = 1.399465650378012e-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) = -0.1898049999999474 y[1] (numeric) = -0.1898049999999739 absolute error = 2.647881913730998e-14 relative error = 1.395053825627213e-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) = -0.1919999999999469 y[1] (numeric) = -0.1919999999999736 absolute error = 2.672861931785064e-14 relative error = 1.392115589471773e-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) = -0.1942049999999464 y[1] (numeric) = -0.1942049999999734 absolute error = 2.692290834716005e-14 relative error = 1.386313861495197e-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) = -0.196419999999946 y[1] (numeric) = -0.1964199999999731 absolute error = 2.714495295208508e-14 relative error = 1.381985182369033e-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) = -0.1986449999999454 y[1] (numeric) = -0.1986449999999729 absolute error = 2.742250870824137e-14 relative error = 1.380478175048398e-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) = -0.200879999999945 y[1] (numeric) = -0.2008799999999726 absolute error = 2.76445533131664e-14 relative error = 1.376172506629529e-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) = -0.2031249999999445 y[1] (numeric) = -0.2031249999999724 absolute error = 2.789435349370706e-14 relative error = 1.373260479690569e-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) = -0.2053799999999439 y[1] (numeric) = -0.2053799999999721 absolute error = 2.819966482547898e-14 relative error = 1.37304824352355e-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) = -0.2076449999999435 y[1] (numeric) = -0.2076449999999719 absolute error = 2.842170943040401e-14 relative error = 1.368764450403898e-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) = -0.2099199999999429 y[1] (numeric) = -0.2099199999999716 absolute error = 2.86992651865603e-14 relative error = 1.367152495549166e-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) = -0.2122049999999425 y[1] (numeric) = -0.2122049999999714 absolute error = 2.892130979148533e-14 relative error = 1.36289483242587e-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) = -0.214499999999942 y[1] (numeric) = -0.2144999999999711 absolute error = 2.917110997202599e-14 relative error = 1.359958506854726e-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) = -0.2168049999999414 y[1] (numeric) = -0.2168049999999709 absolute error = 2.947642130379791e-14 relative error = 1.35958217309591e-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) = -0.2191199999999409 y[1] (numeric) = -0.2191199999999706 absolute error = 2.972622148433857e-14 relative error = 1.356618359088471e-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) = -0.2214449999999404 y[1] (numeric) = -0.2214449999999704 absolute error = 3.000377724049486e-14 relative error = 1.35490876924306e-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) = -0.2237799999999399 y[1] (numeric) = -0.2237799999999701 absolute error = 3.022582184541989e-14 relative error = 1.350693620762713e-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) = -0.2261249999999394 y[1] (numeric) = -0.2261249999999699 absolute error = 3.047562202596055e-14 relative error = 1.347733422928412e-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) = -0.2284799999999388 y[1] (numeric) = -0.2284799999999696 absolute error = 3.078093335773247e-14 relative error = 1.347204716287671e-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) = -0.2308449999999383 y[1] (numeric) = -0.2308449999999694 absolute error = 3.103073353827313e-14 relative error = 1.344223766522187e-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) = -0.2332199999999378 y[1] (numeric) = -0.2332199999999691 absolute error = 3.130828929442941e-14 relative error = 1.342435867182822e-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) = -0.2356049999999373 y[1] (numeric) = -0.2356049999999688 absolute error = 3.150257832373882e-14 relative error = 1.337092944706063e-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) = -0.2379999999999368 y[1] (numeric) = -0.2379999999999686 absolute error = 3.175237850427948e-14 relative error = 1.334133550600332e-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) = -0.2404049999999363 y[1] (numeric) = -0.2404049999999683 absolute error = 3.20576898360514e-14 relative error = 1.333486817497968e-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) = -0.2428199999999358 y[1] (numeric) = -0.242819999999968 absolute error = 3.227973444097643e-14 relative error = 1.329368851041305e-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) = -0.2452449999999352 y[1] (numeric) = -0.2452449999999678 absolute error = 3.255729019713272e-14 relative error = 1.327541446192229e-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) = -0.2476799999999346 y[1] (numeric) = -0.2476799999999675 absolute error = 3.289035710452026e-14 relative error = 1.327937544594999e-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) = -0.2501249999999341 y[1] (numeric) = -0.2501249999999672 absolute error = 3.314015728506092e-14 relative error = 1.32494381949304e-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) = -0.2525799999999335 y[1] (numeric) = -0.2525799999999671 absolute error = 3.352873534367973e-14 relative error = 1.327450128422225e-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) = -0.255044999999933 y[1] (numeric) = -0.2550449999999667 absolute error = 3.36952687973735e-14 relative error = 1.32114994598531e-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) = -0.2575199999999325 y[1] (numeric) = -0.2575199999999666 absolute error = 3.408384685599231e-14 relative error = 1.323541738738787e-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) = -0.260004999999932 y[1] (numeric) = -0.2600049999999662 absolute error = 3.419486915845482e-14 relative error = 1.315161983748919e-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) = -0.2624999999999313 y[1] (numeric) = -0.262499999999966 absolute error = 3.469446951953614e-14 relative error = 1.321694076935056e-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) = -0.2650049999999309 y[1] (numeric) = -0.2650049999999656 absolute error = 3.47499806707674e-14 relative error = 1.311295283891869e-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) = -0.2675199999999303 y[1] (numeric) = -0.2675199999999655 absolute error = 3.519406988061746e-14 relative error = 1.315567803552132e-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) = -0.2700449999999297 y[1] (numeric) = -0.2700449999999651 absolute error = 3.536060333431124e-14 relative error = 1.309433736389137e-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) = -0.2725799999999292 y[1] (numeric) = -0.2725799999999649 absolute error = 3.563815909046752e-14 relative error = 1.307438516783212e-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) = -0.2751249999999286 y[1] (numeric) = -0.2751249999999645 absolute error = 3.591571484662381e-14 relative error = 1.305432615961223e-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) = -0.2776799999999281 y[1] (numeric) = -0.2776799999999643 absolute error = 3.61932706027801e-14 relative error = 1.303416544324023e-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) = -0.2802449999999275 y[1] (numeric) = -0.2802449999999639 absolute error = 3.647082635893639e-14 relative error = 1.301390795873105e-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) = -0.2828199999999269 y[1] (numeric) = -0.2828199999999637 absolute error = 3.680389326632394e-14 relative error = 1.301318621962147e-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) = -0.2854049999999263 y[1] (numeric) = -0.2854049999999634 absolute error = 3.708144902248023e-14 relative error = 1.299257161664645e-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) = -0.2879999999999258 y[1] (numeric) = -0.2879999999999631 absolute error = 3.735900477863652e-14 relative error = 1.297187665925214e-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) = -0.2906049999999252 y[1] (numeric) = -0.2906049999999628 absolute error = 3.763656053479281e-14 relative error = 1.295110563644896e-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) = -0.2932199999999247 y[1] (numeric) = -0.2932199999999625 absolute error = 3.785860513971784e-14 relative error = 1.291133113011649e-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) = -0.2958449999999241 y[1] (numeric) = -0.2958449999999622 absolute error = 3.813616089587413e-14 relative error = 1.289058827963424e-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) = -0.2984799999999235 y[1] (numeric) = -0.2984799999999619 absolute error = 3.846922780326167e-14 relative error = 1.288837704478409e-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) = -0.3011249999999229 y[1] (numeric) = -0.3011249999999617 absolute error = 3.874678355941796e-14 relative error = 1.286734198735671e-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) = -0.3037799999999223 y[1] (numeric) = -0.3037799999999614 absolute error = 3.902433931557425e-14 relative error = 1.284625035077498e-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) = -0.3064449999999217 y[1] (numeric) = -0.3064449999999611 absolute error = 3.941291737419306e-14 relative error = 1.286133478249054e-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) = -0.3091199999999211 y[1] (numeric) = -0.3091199999999608 absolute error = 3.963496197911809e-14 relative error = 1.282186917026663e-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) = -0.3118049999999205 y[1] (numeric) = -0.3118049999999605 absolute error = 4.002354003773689e-14 relative error = 1.283608025456522e-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) = -0.31449999999992 y[1] (numeric) = -0.3144999999999601 absolute error = 4.019007349143067e-14 relative error = 1.277903767613383e-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) = -0.3172049999999194 y[1] (numeric) = -0.3172049999999599 absolute error = 4.057865155004947e-14 relative error = 1.279256365759045e-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) = -0.3199199999999187 y[1] (numeric) = -0.3199199999999596 absolute error = 4.085620730620576e-14 relative error = 1.277075747256068e-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) = -0.3226449999999181 y[1] (numeric) = -0.3226449999999594 absolute error = 4.124478536482457e-14 relative error = 1.278333318812783e-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) = -0.3253799999999175 y[1] (numeric) = -0.325379999999959 absolute error = 4.14668299697496e-14 relative error = 1.27441237844244e-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) = -0.328124999999917 y[1] (numeric) = -0.3281249999999588 absolute error = 4.18554080283684e-14 relative error = 1.27559338753155e-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) = -0.3308799999999164 y[1] (numeric) = -0.3308799999999584 absolute error = 4.202194148206218e-14 relative error = 1.270005484830537e-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) = -0.3336449999999157 y[1] (numeric) = -0.3336449999999582 absolute error = 4.246603069191224e-14 relative error = 1.272790861302371e-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) = -0.3364199999999151 y[1] (numeric) = -0.3364199999999578 absolute error = 4.263256414560601e-14 relative error = 1.267242261031353e-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) = -0.3392049999999145 y[1] (numeric) = -0.3392049999999575 absolute error = 4.302114220422482e-14 relative error = 1.268293279999872e-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) = -0.3419999999999139 y[1] (numeric) = -0.3419999999999571 absolute error = 4.318767565791859e-14 relative error = 1.262797533857587e-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) = -0.3448049999999133 y[1] (numeric) = -0.3448049999999569 absolute error = 4.357625371653739e-14 relative error = 1.263794136295829e-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) = -0.3476199999999127 y[1] (numeric) = -0.3476199999999565 absolute error = 4.385380947269368e-14 relative error = 1.261544487449074e-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) = -0.3504449999999121 y[1] (numeric) = -0.3504449999999563 absolute error = 4.418687638008123e-14 relative error = 1.260879064620477e-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) = -0.3532799999999114 y[1] (numeric) = -0.3532799999999559 absolute error = 4.446443213623752e-14 relative error = 1.258617304581314e-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) = -0.3561249999999108 y[1] (numeric) = -0.3561249999999556 absolute error = 4.485301019485632e-14 relative error = 1.259473785745667e-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) = -0.3589799999999101 y[1] (numeric) = -0.3589799999999553 absolute error = 4.513056595101261e-14 relative error = 1.257188867096326e-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) = -0.3618449999999095 y[1] (numeric) = -0.361844999999955 absolute error = 4.546363285840016e-14 relative error = 1.256439438389684e-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) = -0.3647199999999089 y[1] (numeric) = -0.3647199999999546 absolute error = 4.574118861455645e-14 relative error = 1.254145333805875e-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) = -0.3676049999999083 y[1] (numeric) = -0.3676049999999543 absolute error = 4.6074255521944e-14 relative error = 1.253363134939827e-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) = -0.3704999999999077 y[1] (numeric) = -0.370499999999954 absolute error = 4.635181127810029e-14 relative error = 1.251061033147418e-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) = -0.373404999999907 y[1] (numeric) = -0.3734049999999537 absolute error = 4.674038933671909e-14 relative error = 1.251734426071711e-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) = -0.3763199999999064 y[1] (numeric) = -0.3763199999999534 absolute error = 4.701794509287538e-14 relative error = 1.249413932102654e-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) = -0.3792449999999057 y[1] (numeric) = -0.379244999999953 absolute error = 4.735101200026293e-14 relative error = 1.248559954653976e-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) = -0.382179999999905 y[1] (numeric) = -0.3821799999999528 absolute error = 4.773959005888173e-14 relative error = 1.249138888976231e-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) = -0.3851249999999045 y[1] (numeric) = -0.3851249999999524 absolute error = 4.79061235125755e-14 relative error = 1.243911029213564e-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) = -0.3880799999999037 y[1] (numeric) = -0.3880799999999521 absolute error = 4.840572387365683e-14 relative error = 1.247313024986313e-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) = -0.3910449999999032 y[1] (numeric) = -0.3910449999999517 absolute error = 4.85722573273506e-14 relative error = 1.242114266321335e-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) = -0.3940199999999024 y[1] (numeric) = -0.3940199999999515 absolute error = 4.907185768843192e-14 relative error = 1.24541540247815e-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) = -0.3970049999999018 y[1] (numeric) = -0.3970049999999511 absolute error = 4.929390229335695e-14 relative error = 1.241644369551243e-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) = -0.3999999999999011 y[1] (numeric) = -0.3999999999999509 absolute error = 4.979350265443827e-14 relative error = 1.244837566361265e-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) = -0.4030049999999018 y[1] (numeric) = -0.4030049999999504 absolute error = 4.862776847858186e-14 relative error = 1.206629408533237e-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) = -0.4060199999999025 y[1] (numeric) = -0.4060199999999503 absolute error = 4.779510121011299e-14 relative error = 1.177161253389598e-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) = -0.4090449999999032 y[1] (numeric) = -0.4090449999999498 absolute error = 4.662936703425657e-14 relative error = 1.139956900445369e-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) = -0.4120799999999039 y[1] (numeric) = -0.4120799999999496 absolute error = 4.574118861455645e-14 relative error = 1.110007489190621e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.049999999999687 y[1] (closed_form) = -0.4151249999999046 y[1] (numeric) = -0.4151249999999492 absolute error = 4.457545443870004e-14 relative error = 1.073783906984891e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.059999999999691 y[1] (closed_form) = -0.4181799999999053 y[1] (numeric) = -0.418179999999949 absolute error = 4.368727601899991e-14 relative error = 1.044700273064465e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.069999999999694 y[1] (closed_form) = -0.4212449999999061 y[1] (numeric) = -0.4212449999999486 absolute error = 4.25215418431435e-14 relative error = 1.009425437528113e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.079999999999697 y[1] (closed_form) = -0.4243199999999068 y[1] (numeric) = -0.4243199999999483 absolute error = 4.157785227221211e-14 relative error = 9.798701987231629e-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) = -0.4274049999999074 y[1] (numeric) = -0.427404999999948 absolute error = 4.052314039881821e-14 relative error = 9.48120410356149e-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) = -0.4304999999999082 y[1] (numeric) = -0.4304999999999478 absolute error = 3.957945082788683e-14 relative error = 9.193832944923409e-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) = -0.433604999999909 y[1] (numeric) = -0.4336049999999474 absolute error = 3.841371665203042e-14 relative error = 8.859149837303186e-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) = -0.4367199999999097 y[1] (numeric) = -0.4367199999999472 absolute error = 3.741451592986778e-14 relative error = 8.567163383833007e-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) = -0.4398449999999104 y[1] (numeric) = -0.4398449999999468 absolute error = 3.635980405647388e-14 relative error = 8.266503894890537e-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) = -0.4429799999999112 y[1] (numeric) = -0.4429799999999466 absolute error = 3.536060333431124e-14 relative error = 7.982437883046259e-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) = -0.446124999999912 y[1] (numeric) = -0.4461249999999463 absolute error = 3.430589146091734e-14 relative error = 7.689748716374134e-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) = -0.4492799999999127 y[1] (numeric) = -0.449279999999946 absolute error = 3.325117958752344e-14 relative error = 7.400992607623285e-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) = -0.4524449999999135 y[1] (numeric) = -0.4524449999999457 absolute error = 3.219646771412954e-14 relative error = 7.116106424899313e-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) = -0.4556199999999143 y[1] (numeric) = -0.4556199999999455 absolute error = 3.114175584073564e-14 relative error = 6.835028278113669e-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) = -0.4588049999999151 y[1] (numeric) = -0.4588049999999452 absolute error = 3.008704396734174e-14 relative error = 6.557697489640983e-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) = -0.4619999999999159 y[1] (numeric) = -0.4619999999999449 absolute error = 2.897682094271659e-14 relative error = 6.272039165091312e-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) = -0.4652049999999167 y[1] (numeric) = -0.4652049999999446 absolute error = 2.792210906932269e-14 relative error = 6.002108547699978e-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) = -0.4684199999999176 y[1] (numeric) = -0.4684199999999444 absolute error = 2.681188604469753e-14 relative error = 5.723898647517666e-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) = -0.4716449999999184 y[1] (numeric) = -0.4716449999999441 absolute error = 2.575717417130363e-14 relative error = 5.461135848213824e-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) = -0.4748799999999193 y[1] (numeric) = -0.4748799999999438 absolute error = 2.459143999544722e-14 relative error = 5.178453503085284e-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) = -0.4781249999999201 y[1] (numeric) = -0.4781249999999436 absolute error = 2.353672812205332e-14 relative error = 4.922714378469491e-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) = -0.4813799999999209 y[1] (numeric) = -0.4813799999999434 absolute error = 2.248201624865942e-14 relative error = 4.670326197320852e-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) = -0.4846449999999217 y[1] (numeric) = -0.4846449999999431 absolute error = 2.142730437526552e-14 relative error = 4.421237065330084e-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) = -0.4879199999999226 y[1] (numeric) = -0.4879199999999428 absolute error = 2.020605904817785e-14 relative error = 4.141264766392247e-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) = -0.4912049999999234 y[1] (numeric) = -0.4912049999999427 absolute error = 1.926236947724647e-14 relative error = 3.921452240357788e-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) = -0.4944999999999243 y[1] (numeric) = -0.4944999999999424 absolute error = 1.804112415015879e-14 relative error = 3.64835675432994e-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) = -0.4978049999999252 y[1] (numeric) = -0.4978049999999422 absolute error = 1.69864122767649e-14 relative error = 3.412262286792508e-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) = -0.5011199999999261 y[1] (numeric) = -0.5011199999999421 absolute error = 1.598721155460225e-14 relative error = 3.190296047773909e-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) = -0.504444999999927 y[1] (numeric) = -0.5044449999999417 absolute error = 1.476596622751458e-14 relative error = 2.92717069799814e-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) = -0.5077799999999278 y[1] (numeric) = -0.5077799999999416 absolute error = 1.376676550535194e-14 relative error = 2.711167337302355e-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) = -0.5111249999999288 y[1] (numeric) = -0.5111249999999413 absolute error = 1.254552017826427e-14 relative error = 2.45449159760646e-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) = -0.5144799999999297 y[1] (numeric) = -0.5144799999999412 absolute error = 1.154631945610163e-14 relative error = 2.244269836748407e-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) = -0.5178449999999306 y[1] (numeric) = -0.5178449999999409 absolute error = 1.032507412901396e-14 relative error = 1.993854170459373e-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) = -0.5212199999999315 y[1] (numeric) = -0.5212199999999408 absolute error = 9.325873406851315e-15 relative error = 1.789239362812736e-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) = -0.5246049999999325 y[1] (numeric) = -0.5246049999999405 absolute error = 7.993605777301127e-15 relative error = 1.523738008082682e-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) = -0.5279999999999334 y[1] (numeric) = -0.5279999999999404 absolute error = 6.994405055138486e-15 relative error = 1.324697927109729e-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) = -0.5314049999999343 y[1] (numeric) = -0.5314049999999401 absolute error = 5.773159728050814e-15 relative error = 1.086395447549708e-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) = -0.5348199999999352 y[1] (numeric) = -0.53481999999994 absolute error = 4.773959005888173e-15 relative error = 8.92629109960127e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.429999999999814 y[1] (closed_form) = -0.5382449999999362 y[1] (numeric) = -0.5382449999999397 absolute error = 3.441691376337985e-15 relative error = 6.39428397168277e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.439999999999817 y[1] (closed_form) = -0.5416799999999372 y[1] (numeric) = -0.5416799999999397 absolute error = 2.442490654175344e-15 relative error = 4.509102522108307e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.449999999999821 y[1] (closed_form) = -0.5451249999999381 y[1] (numeric) = -0.5451249999999394 absolute error = 1.221245327087672e-15 relative error = 2.240303282894402e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.459999999999824 y[1] (closed_form) = -0.5485799999999391 y[1] (numeric) = -0.5485799999999392 absolute error = 1.110223024625157e-16 relative error = 2.02381243323723e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.469999999999827 y[1] (closed_form) = -0.5520449999999402 y[1] (numeric) = -0.5520449999999389 absolute error = 1.221245327087672e-15 relative error = 2.212220610797679e-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) = -0.5555199999999412 y[1] (numeric) = -0.555519999999939 absolute error = 2.220446049250313e-15 relative error = 3.997058700407813e-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) = -0.559004999999942 y[1] (numeric) = -0.5590049999999387 absolute error = 3.33066907387547e-15 relative error = 5.958209808276876e-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) = -0.5624999999999432 y[1] (numeric) = -0.5624999999999386 absolute error = 4.551914400963142e-15 relative error = 8.092292268379736e-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) = -0.5660049999999441 y[1] (numeric) = -0.5660049999999384 absolute error = 5.773159728050814e-15 relative error = 1.019983874356478e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.519999999999844 y[1] (closed_form) = -0.5695199999999452 y[1] (numeric) = -0.5695199999999383 absolute error = 6.883382752675971e-15 relative error = 1.208628801916813e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.529999999999847 y[1] (closed_form) = -0.5730449999999461 y[1] (numeric) = -0.5730449999999381 absolute error = 7.993605777301127e-15 relative error = 1.394935088396527e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.539999999999851 y[1] (closed_form) = -0.5765799999999472 y[1] (numeric) = -0.5765799999999379 absolute error = 9.325873406851315e-15 relative error = 1.617446565411941e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.549999999999854 y[1] (closed_form) = -0.5801249999999483 y[1] (numeric) = -0.5801249999999377 absolute error = 1.054711873393899e-14 relative error = 1.818076920308542e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.559999999999858 y[1] (closed_form) = -0.5836799999999494 y[1] (numeric) = -0.5836799999999377 absolute error = 1.165734175856414e-14 relative error = 1.997214528262945e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.569999999999861 y[1] (closed_form) = -0.5872449999999503 y[1] (numeric) = -0.5872449999999375 absolute error = 1.27675647831893e-14 relative error = 2.174146188250284e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.579999999999864 y[1] (closed_form) = -0.5908199999999513 y[1] (numeric) = -0.5908199999999374 absolute error = 1.387778780781446e-14 relative error = 2.348902848213602e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.589999999999868 y[1] (closed_form) = -0.5944049999999523 y[1] (numeric) = -0.5944049999999372 absolute error = 1.509903313490213e-14 relative error = 2.540192820535382e-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) = -0.5979999999999535 y[1] (numeric) = -0.5979999999999371 absolute error = 1.63202784619898e-14 relative error = 2.729143555516902e-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) = -0.6016049999999546 y[1] (numeric) = -0.601604999999937 absolute error = 1.765254609153999e-14 relative error = 2.9342419181259e-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) = -0.6052199999999557 y[1] (numeric) = -0.6052199999999368 absolute error = 1.887379141862766e-14 relative error = 3.118500944884347e-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) = -0.6088449999999568 y[1] (numeric) = -0.6088449999999367 absolute error = 2.009503674571533e-14 relative error = 3.300517659784799e-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) = -0.6124799999999579 y[1] (numeric) = -0.6124799999999366 absolute error = 2.131628207280301e-14 relative error = 3.480322961207626e-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) = -0.616124999999959 y[1] (numeric) = -0.6161249999999365 absolute error = 2.242650509742816e-14 relative error = 3.639927790209723e-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) = -0.61977999999996 y[1] (numeric) = -0.6197799999999364 absolute error = 2.364775042451583e-14 relative error = 3.815507183922901e-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) = -0.6234449999999612 y[1] (numeric) = -0.6234449999999363 absolute error = 2.486899575160351e-14 relative error = 3.988963862346327e-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) = -0.6271199999999624 y[1] (numeric) = -0.6271199999999362 absolute error = 2.620126338115369e-14 relative error = 4.178030262335002e-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) = -0.6308049999999634 y[1] (numeric) = -0.6308049999999361 absolute error = 2.731148640577885e-14 relative error = 4.329624274661811e-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) = -0.6344999999999645 y[1] (numeric) = -0.6344999999999359 absolute error = 2.864375403532904e-14 relative error = 4.514382038665191e-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) = -0.6382049999999657 y[1] (numeric) = -0.6382049999999359 absolute error = 2.986499936241671e-14 relative error = 4.679530771839505e-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) = -0.641919999999967 y[1] (numeric) = -0.6419199999999358 absolute error = 3.11972669919669e-14 relative error = 4.85999298852949e-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) = -0.6456449999999681 y[1] (numeric) = -0.6456449999999357 absolute error = 3.230749001659206e-14 relative error = 5.003909271595637e-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) = -0.6493799999999692 y[1] (numeric) = -0.6493799999999356 absolute error = 3.363975764614224e-14 relative error = 5.180288528464665e-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) = -0.6531249999999704 y[1] (numeric) = -0.6531249999999356 absolute error = 3.486100297322992e-14 relative error = 5.337569833222047e-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) = -0.6568799999999715 y[1] (numeric) = -0.6568799999999354 absolute error = 3.608224830031759e-14 relative error = 5.492974104907922e-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) = -0.6606449999999726 y[1] (numeric) = -0.6606449999999354 absolute error = 3.719247132494274e-14 relative error = 5.629721155074856e-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) = -0.6644199999999738 y[1] (numeric) = -0.6644199999999353 absolute error = 3.852473895449293e-14 relative error = 5.798250948871866e-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) = -0.6682049999999751 y[1] (numeric) = -0.6682049999999353 absolute error = 3.97459842815806e-14 relative error = 5.948172234805499e-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) = -0.6719999999999764 y[1] (numeric) = -0.6719999999999352 absolute error = 4.118927421359331e-14 relative error = 6.129356281784934e-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) = -0.6758049999999776 y[1] (numeric) = -0.6758049999999353 absolute error = 4.229949723821846e-14 relative error = 6.259127594235004e-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) = -0.6796199999999788 y[1] (numeric) = -0.6796199999999351 absolute error = 4.374278717023117e-14 relative error = 6.436359608344741e-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) = -0.6834449999999799 y[1] (numeric) = -0.6834449999999351 absolute error = 4.474198789239381e-14 relative error = 6.546538184110664e-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) = -0.6872799999999812 y[1] (numeric) = -0.6872799999999349 absolute error = 4.629630012686903e-14 relative error = 6.736162863297389e-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) = -0.6911249999999824 y[1] (numeric) = -0.691124999999935 absolute error = 4.740652315149418e-14 relative error = 6.859326916476091e-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) = -0.6949799999999837 y[1] (numeric) = -0.6949799999999349 absolute error = 4.884981308350689e-14 relative error = 7.028952355968234e-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) = -0.6988449999999848 y[1] (numeric) = -0.698844999999935 absolute error = 4.984901380566953e-14 relative error = 7.13305723095545e-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) = -0.7027199999999862 y[1] (numeric) = -0.7027199999999348 absolute error = 5.140332604014475e-14 relative error = 7.314908646423292e-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) = -0.7066049999999875 y[1] (numeric) = -0.7066049999999349 absolute error = 5.262457136723242e-14 relative error = 7.447523208473384e-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) = -0.7104999999999888 y[1] (numeric) = -0.7104999999999347 absolute error = 5.406786129924512e-14 relative error = 7.609832695178885e-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) = -0.71440499999999 y[1] (numeric) = -0.7144049999999348 absolute error = 5.517808432387028e-14 relative error = 7.723641957135106e-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) = -0.7183199999999912 y[1] (numeric) = -0.7183199999999347 absolute error = 5.651035195342047e-14 relative error = 7.867016365049164e-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) = -0.7222449999999925 y[1] (numeric) = -0.7222449999999347 absolute error = 5.773159728050814e-14 relative error = 7.993353679223635e-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) = -0.7261799999999938 y[1] (numeric) = -0.7261799999999347 absolute error = 5.917488721252084e-14 relative error = 8.148790549522342e-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) = -0.7301249999999953 y[1] (numeric) = -0.7301249999999347 absolute error = 6.050715484207103e-14 relative error = 8.287232301601976e-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) = -0.7340799999999965 y[1] (numeric) = -0.7340799999999347 absolute error = 6.183942247162122e-14 relative error = 8.424071282642425e-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) = -0.7380449999999978 y[1] (numeric) = -0.7380449999999347 absolute error = 6.317169010117141e-14 relative error = 8.559327696979397e-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) = -0.742019999999999 y[1] (numeric) = -0.7420199999999346 absolute error = 6.439293542825908e-14 relative error = 8.678059274448016e-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) = -0.7460050000000005 y[1] (numeric) = -0.7460049999999346 absolute error = 6.583622536027178e-14 relative error = 8.825172131590504e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Finished! diff ( y , x , 1 ) = 0.3 - ( 0.1 * x + 0.2 ) ; 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 %