##############ECHO OF PROBLEM################# ##############temp/mult_lin_linpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) * ( 0.2 * x + 0.3 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb 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 # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #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 def exact_soln_y (x) x = c(x) return(c(0.06) * c(x) + c(2.0)/c(300.0) * c(x) * c(x) * c(x) + c(0.035) * c(x) * c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) 0.006356666666666667 y[1] (numeric) 0.006356666666666667 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y[1] (closed_form) 0.007032373333333335 y[1] (numeric) 0.007032373333333332 absolute error 2.6020852139652106e-18 relative error 3.700152268127418e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) 0.007715520000000002 y[1] (numeric) 0.007715519999999998 absolute error 3.469446951953614e-18 relative error 4.496711760132322e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) 0.008406146666666668 y[1] (numeric) 0.008406146666666663 absolute error 5.204170427930421e-18 relative error 6.190910811212454e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) 0.009104293333333338 y[1] (numeric) 0.00910429333333333 absolute error 6.938893903907228e-18 relative error 7.621562322143134e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) 0.009810000000000003 y[1] (numeric) 0.009809999999999998 absolute error 5.204170427930421e-18 relative error 5.304964758338858e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) 0.010523306666666671 y[1] (numeric) 0.010523306666666664 absolute error 6.938893903907228e-18 relative error 6.593834166105482e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) 0.011244253333333338 y[1] (numeric) 0.011244253333333332 absolute error 5.204170427930421e-18 relative error 4.628293470143344e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) 0.011972880000000005 y[1] (numeric) 0.011972880000000002 absolute error 3.469446951953614e-18 relative error 2.897754718959526e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) 0.012709226666666672 y[1] (numeric) 0.01270922666666667 absolute error 1.734723475976807e-18 relative error 1.3649323609331643e-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) 0.013453333333333341 y[1] (numeric) 0.013453333333333336 absolute error 5.204170427930421e-18 relative error 3.8683130039126e-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) 0.014205240000000006 y[1] (numeric) 0.014205240000000003 absolute error 3.469446951953614e-18 relative error 2.442371231991584e-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) 0.014964986666666676 y[1] (numeric) 0.014964986666666671 absolute error 5.204170427930421e-18 relative error 3.477564359961843e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) 0.015732613333333343 y[1] (numeric) 0.015732613333333336 absolute error 6.938893903907228e-18 relative error 4.4105157591367894e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 0.016508160000000008 y[1] (numeric) 0.01650816 absolute error 6.938893903907228e-18 relative error 4.203311516187888e-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) 0.017291666666666677 y[1] (numeric) 0.017291666666666667 absolute error 1.0408340855860843e-17 relative error 6.019281458811085e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 0.018083173333333345 y[1] (numeric) 0.018083173333333334 absolute error 1.0408340855860843e-17 relative error 5.755815455617397e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) 0.01888272000000001 y[1] (numeric) 0.018882720000000006 absolute error 3.469446951953614e-18 relative error 1.8373660955379375e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) 0.01969034666666668 y[1] (numeric) 0.019690346666666674 absolute error 6.938893903907228e-18 relative error 3.524007993040527e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) 0.020506093333333343 y[1] (numeric) 0.020506093333333343 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 0.021330000000000012 y[1] (numeric) 0.02133000000000001 absolute error 3.469446951953614e-18 relative error 1.6265574083233063e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) 0.02216210666666668 y[1] (numeric) 0.022162106666666674 absolute error 6.938893903907228e-18 relative error 3.1309721626526585e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 0.023002453333333346 y[1] (numeric) 0.023002453333333346 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 0.023851080000000014 y[1] (numeric) 0.023851080000000014 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 0.024708026666666685 y[1] (numeric) 0.024708026666666674 absolute error 1.0408340855860843e-17 relative error 4.212534249002821e-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) 0.02557333333333335 y[1] (numeric) 0.02557333333333334 absolute error 1.0408340855860843e-17 relative error 4.0699977277870836e-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) 0.02644704000000002 y[1] (numeric) 0.026447040000000005 absolute error 1.3877787807814457e-17 relative error 5.247387914796683e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 0.027329186666666686 y[1] (numeric) 0.02732918666666667 absolute error 1.3877787807814457e-17 relative error 5.078009813128155e-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) 0.02821981333333335 y[1] (numeric) 0.028219813333333336 absolute error 1.3877787807814457e-17 relative error 4.917746139526005e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 0.02911896000000002 y[1] (numeric) 0.02911896 absolute error 2.0816681711721685e-17 relative error 7.148841068404116e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 0.03002666666666669 y[1] (numeric) 0.030026666666666663 absolute error 2.7755575615628914e-17 relative error 9.243641967904826e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 0.030942973333333356 y[1] (numeric) 0.030942973333333332 absolute error 2.42861286636753e-17 relative error 7.848673235778876e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 0.03186792000000002 y[1] (numeric) 0.03186792 absolute error 2.0816681711721685e-17 relative error 6.532174585514735e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 0.032801546666666695 y[1] (numeric) 0.03280154666666667 absolute error 2.7755575615628914e-17 relative error 8.461666731049132e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 0.03374389333333336 y[1] (numeric) 0.03374389333333333 absolute error 2.7755575615628914e-17 relative error 8.225362539363831e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 0.034695000000000024 y[1] (numeric) 0.034695000000000004 absolute error 2.0816681711721685e-17 relative error 5.999908261052506e-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) 0.035654906666666694 y[1] (numeric) 0.035654906666666666 absolute error 2.7755575615628914e-17 relative error 7.784503792174342e-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) 0.03662365333333336 y[1] (numeric) 0.03662365333333333 absolute error 2.7755575615628914e-17 relative error 7.578592818965692e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) 0.03760128000000003 y[1] (numeric) 0.03760127999999999 absolute error 4.163336342344337e-17 relative error 1.1072326107899342e-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) 0.0385878266666667 y[1] (numeric) 0.03858782666666666 absolute error 4.163336342344337e-17 relative error 1.078924806599888e-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) 0.039583333333333366 y[1] (numeric) 0.039583333333333325 absolute error 4.163336342344337e-17 relative error 1.0517902338554106e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 0.040587840000000035 y[1] (numeric) 0.040587839999999986 absolute error 4.85722573273506e-17 relative error 1.1967194442313402e-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) 0.041601386666666705 y[1] (numeric) 0.04160138666666665 absolute error 5.551115123125783e-17 relative error 1.3343581952218044e-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) 0.04262401333333337 y[1] (numeric) 0.04262401333333331 absolute error 6.245004513516506e-17 relative error 1.4651376126125384e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 0.043655760000000036 y[1] (numeric) 0.043655759999999974 absolute error 6.245004513516506e-17 relative error 1.4305110055389025e-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) 0.044696666666666704 y[1] (numeric) 0.044696666666666635 absolute error 6.938893903907228e-17 relative error 1.5524410255590774e-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) 0.045746773333333365 y[1] (numeric) 0.0457467733333333 absolute error 6.245004513516506e-17 relative error 1.3651245887906342e-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) 0.04680612000000005 y[1] (numeric) 0.04680611999999997 absolute error 7.632783294297951e-17 relative error 1.6307233529072573e-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) 0.04787474666666672 y[1] (numeric) 0.04787474666666665 absolute error 6.938893903907228e-17 relative error 1.4493849862475627e-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) 0.04895269333333338 y[1] (numeric) 0.048952693333333325 absolute error 5.551115123125783e-17 relative error 1.1339754250755105e-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) 0.05004000000000004 y[1] (numeric) 0.05004 absolute error 4.163336342344337e-17 relative error 8.320016671351586e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 0.05113670666666671 y[1] (numeric) 0.05113670666666668 absolute error 3.469446951953614e-17 relative error 6.784650749155814e-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) 0.05224285333333338 y[1] (numeric) 0.052242853333333346 absolute error 3.469446951953614e-17 relative error 6.640998204705532e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 0.053358480000000055 y[1] (numeric) 0.05335848000000001 absolute error 4.85722573273506e-17 relative error 9.103006181463668e-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) 0.054483626666666715 y[1] (numeric) 0.05448362666666667 absolute error 4.85722573273506e-17 relative error 8.915019116572004e-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) 0.05561833333333339 y[1] (numeric) 0.055618333333333325 absolute error 6.245004513516506e-17 relative error 1.1228320122591171e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 0.05676264000000005 y[1] (numeric) 0.05676263999999998 absolute error 6.938893903907228e-17 relative error 1.222440306495121e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 0.05791658666666672 y[1] (numeric) 0.05791658666666665 absolute error 6.938893903907228e-17 relative error 1.1980840555821007e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 0.059080213333333395 y[1] (numeric) 0.05908021333333332 absolute error 7.632783294297951e-17 relative error 1.2919356352410954e-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) 0.06025356000000006 y[1] (numeric) 0.06025355999999999 absolute error 6.938893903907228e-17 relative error 1.1516155898352267e-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) 0.06143666666666673 y[1] (numeric) 0.06143666666666666 absolute error 6.938893903907228e-17 relative error 1.1294385389681333e-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) 0.06262957333333338 y[1] (numeric) 0.06262957333333331 absolute error 6.938893903907228e-17 relative error 1.1079261017756504e-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) 0.06383232000000005 y[1] (numeric) 0.06383232 absolute error 5.551115123125783e-17 relative error 8.69640195300089e-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) 0.06504494666666674 y[1] (numeric) 0.06504494666666667 absolute error 6.938893903907228e-17 relative error 1.0667844712774849e-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) 0.0662674933333334 y[1] (numeric) 0.06626749333333337 absolute error 2.7755575615628914e-17 relative error 4.1884148953718614e-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) 0.06750000000000007 y[1] (numeric) 0.06750000000000005 absolute error 2.7755575615628914e-17 relative error 4.111937128241316e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 0.06874250666666673 y[1] (numeric) 0.06874250666666669 absolute error 4.163336342344337e-17 relative error 6.056422065800432e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 0.0699950533333334 y[1] (numeric) 0.06999505333333335 absolute error 5.551115123125783e-17 relative error 7.930724899501151e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 0.07125768000000007 y[1] (numeric) 0.07125768000000003 absolute error 4.163336342344337e-17 relative error 5.842649300881438e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 0.07253042666666674 y[1] (numeric) 0.07253042666666669 absolute error 5.551115123125783e-17 relative error 7.653498508477605e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 0.07381333333333341 y[1] (numeric) 0.07381333333333336 absolute error 5.551115123125783e-17 relative error 7.520477497009271e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 0.07510644000000008 y[1] (numeric) 0.07510644000000001 absolute error 6.938893903907228e-17 relative error 9.238746908929808e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 0.07640978666666674 y[1] (numeric) 0.07640978666666667 absolute error 6.938893903907228e-17 relative error 9.08115858794077e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 0.07772341333333342 y[1] (numeric) 0.07772341333333332 absolute error 9.71445146547012e-17 relative error 1.2498745292885714e-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) 0.07904736000000008 y[1] (numeric) 0.07904736 absolute error 8.326672684688674e-17 relative error 1.0533777073249082e-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) 0.08038166666666675 y[1] (numeric) 0.08038166666666664 absolute error 1.1102230246251565e-16 relative error 1.3811893565595248e-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) 0.08172637333333342 y[1] (numeric) 0.08172637333333331 absolute error 1.1102230246251565e-16 relative error 1.3584635893445846e-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) 0.08308152000000009 y[1] (numeric) 0.08308151999999999 absolute error 9.71445146547012e-17 relative error 1.1692674213796413e-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) 0.08444714666666676 y[1] (numeric) 0.08444714666666665 absolute error 1.1102230246251565e-16 relative error 1.314695722056157e-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) 0.08582329333333344 y[1] (numeric) 0.08582329333333334 absolute error 9.71445146547012e-17 relative error 1.1319131541293422e-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) 0.08721000000000009 y[1] (numeric) 0.08721000000000002 absolute error 6.938893903907228e-17 relative error 7.95653469086942e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 0.08860730666666676 y[1] (numeric) 0.08860730666666669 absolute error 6.938893903907228e-17 relative error 7.831062882896062e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 0.09001525333333343 y[1] (numeric) 0.09001525333333335 absolute error 8.326672684688674e-17 relative error 9.25029078555649e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 0.0914338800000001 y[1] (numeric) 0.09143388000000001 absolute error 9.71445146547012e-17 relative error 1.0624564401587364e-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) 0.09286322666666677 y[1] (numeric) 0.09286322666666666 absolute error 1.1102230246251565e-16 relative error 1.195546465998118e-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) 0.09430333333333343 y[1] (numeric) 0.09430333333333332 absolute error 1.1102230246251565e-16 relative error 1.1772892700418742e-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) 0.0957542400000001 y[1] (numeric) 0.09575423999999996 absolute error 1.3877787807814457e-16 relative error 1.449313138281338e-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) 0.09721598666666678 y[1] (numeric) 0.09721598666666663 absolute error 1.5265566588595902e-16 relative error 1.5702732762398768e-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) 0.09868861333333345 y[1] (numeric) 0.09868861333333327 absolute error 1.8041124150158794e-16 relative error 1.828085686970044e-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) 0.10017216000000011 y[1] (numeric) 0.10017215999999993 absolute error 1.8041124150158794e-16 relative error 1.8010117931128543e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 0.10166666666666677 y[1] (numeric) 0.1016666666666666 absolute error 1.6653345369377348e-16 relative error 1.638033970758426e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) 0.10317217333333327 y[1] (numeric) 0.10317217333333327 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 0.10468871999999976 y[1] (numeric) 0.10468871999999996 absolute error 1.942890293094024e-16 relative error 1.8558735774914703e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 0.10621634666666627 y[1] (numeric) 0.10621634666666663 absolute error 3.608224830031759e-16 relative error 3.397052283633215e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 0.10775509333333275 y[1] (numeric) 0.10775509333333329 absolute error 5.412337245047638e-16 relative error 5.022813379507692e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) 0.10930499999999924 y[1] (numeric) 0.10930499999999994 absolute error 7.077671781985373e-16 relative error 6.475158301985657e-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) 0.11086610666666574 y[1] (numeric) 0.1108661066666666 absolute error 8.604228440844963e-16 relative error 7.760918733003553e-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) 0.11243845333333222 y[1] (numeric) 0.11243845333333324 absolute error 1.0269562977782698e-15 relative error 9.133497191870658e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) 0.11402207999999871 y[1] (numeric) 0.1140220799999999 absolute error 1.1934897514720433e-15 relative error 1.0467181018554099e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) 0.11561702666666518 y[1] (numeric) 0.11561702666666654 absolute error 1.3600232051658168e-15 relative error 1.1763174027013272e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) 0.11722333333333165 y[1] (numeric) 0.11722333333333321 absolute error 1.5543122344752192e-15 relative error 1.3259409967940752e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) 0.11884103999999815 y[1] (numeric) 0.11884103999999987 absolute error 1.7208456881689926e-15 relative error 1.4480230803845367e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) 0.12047018666666462 y[1] (numeric) 0.12047018666666653 absolute error 1.915134717478395e-15 relative error 1.5897167344626794e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) 0.1221108133333311 y[1] (numeric) 0.1221108133333332 absolute error 2.1094237467877974e-15 relative error 1.7274667895541842e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) 0.12376295999999756 y[1] (numeric) 0.12376295999999987 absolute error 2.3037127760972e-15 relative error 1.8613911432768293e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) 0.12542666666666402 y[1] (numeric) 0.12542666666666652 absolute error 2.4980018054066022e-15 relative error 1.9916034379238772e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 0.12710197333333048 y[1] (numeric) 0.12710197333333315 absolute error 2.6645352591003757e-15 relative error 2.0963759957624855e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) 0.12878891999999695 y[1] (numeric) 0.12878891999999975 absolute error 2.8033131371785203e-15 relative error 2.1766726028749887e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) 0.1304875466666634 y[1] (numeric) 0.13048754666666637 absolute error 2.9698465908722937e-15 relative error 2.2759617041915173e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) 0.13219789333332985 y[1] (numeric) 0.13219789333333304 absolute error 3.191891195797325e-15 relative error 2.4144796224166324e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) 0.13391999999999632 y[1] (numeric) 0.1339199999999997 absolute error 3.3861802251067274e-15 relative error 2.528509726035559e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) 0.13565390666666277 y[1] (numeric) 0.13565390666666635 absolute error 3.58046925441613e-15 relative error 2.6394147742565806e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) 0.1373996533333292 y[1] (numeric) 0.13739965333333304 absolute error 3.83026943495679e-15 relative error 2.7876849337200452e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) 0.13915727999999566 y[1] (numeric) 0.13915727999999966 absolute error 3.9968028886505635e-15 relative error 2.8721478952812876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) 0.1409268266666621 y[1] (numeric) 0.1409268266666663 absolute error 4.218847493575595e-15 relative error 2.993644001900749e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) 0.14270833333332852 y[1] (numeric) 0.14270833333333294 absolute error 4.413136522884997e-15 relative error 3.092416833554555e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) 0.14450183999999497 y[1] (numeric) 0.14450183999999958 absolute error 4.6074255521944e-15 relative error 3.1884891930750227e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) 0.1463073866666614 y[1] (numeric) 0.1463073866666662 absolute error 4.801714581503802e-15 relative error 3.2819358549843837e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) 0.14812501333332784 y[1] (numeric) 0.14812501333333283 absolute error 4.9960036108132044e-15 relative error 3.3728291382972747e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) 0.14995475999999425 y[1] (numeric) 0.14995475999999947 absolute error 5.218048215738236e-15 relative error 3.479748302580349e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) 0.1517966666666607 y[1] (numeric) 0.1517966666666661 absolute error 5.412337245047638e-15 relative error 3.565517849567086e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) 0.1536507733333271 y[1] (numeric) 0.15365077333333277 absolute error 5.662137425588298e-15 relative error 3.685069266332271e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) 0.15551711999999354 y[1] (numeric) 0.1555171199999994 absolute error 5.856426454897701e-15 relative error 3.765776047613243e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) 0.15739574666665995 y[1] (numeric) 0.15739574666666606 absolute error 6.106226635438361e-15 relative error 3.8795372586340675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) 0.15928669333332635 y[1] (numeric) 0.15928669333333265 absolute error 6.300515664747763e-15 relative error 3.9554563742265556e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) 0.16118999999999278 y[1] (numeric) 0.16118999999999925 absolute error 6.467049118441537e-15 relative error 4.012065958460094e-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) 0.1631057066666592 y[1] (numeric) 0.16310570666666585 absolute error 6.661338147750939e-15 relative error 4.0840619766693904e-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) 0.1650338533333256 y[1] (numeric) 0.16503385333333248 absolute error 6.8833827526759706e-15 relative error 4.170891373888799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) 0.166974479999992 y[1] (numeric) 0.1669744799999991 absolute error 7.105427357601002e-15 relative error 4.25539720656794e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) 0.1689276266666584 y[1] (numeric) 0.16892762666666566 absolute error 7.271960811294775e-15 relative error 4.3047788895089345e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) 0.1708933333333248 y[1] (numeric) 0.17089333333333226 absolute error 7.466249840604178e-15 relative error 4.368953249944147e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) 0.17287163999999117 y[1] (numeric) 0.17287163999999888 absolute error 7.716050021144838e-15 relative error 4.463456250629214e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) 0.17486258666665755 y[1] (numeric) 0.1748625866666655 absolute error 7.93809462606987e-15 relative error 4.539618667086485e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) 0.17686621333332397 y[1] (numeric) 0.17686621333333208 absolute error 8.104628079763643e-15 relative error 4.582349521154486e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) 0.17888255999999036 y[1] (numeric) 0.1788825599999987 absolute error 8.326672684688674e-15 relative error 4.654826431760101e-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) 0.1809116666666567 y[1] (numeric) 0.1809116666666653 absolute error 8.604228440844963e-15 relative error 4.756038457541215e-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) 0.1829535733333231 y[1] (numeric) 0.18295357333333193 absolute error 8.826273045769994e-15 relative error 4.824323944572216e-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) 0.18500831999998948 y[1] (numeric) 0.18500831999999856 absolute error 9.076073226310655e-15 relative error 4.905764900903468e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) 0.18707594666665583 y[1] (numeric) 0.18707594666666522 absolute error 9.381384558082573e-15 relative error 5.014746537564734e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) 0.18915649333332224 y[1] (numeric) 0.18915649333333182 absolute error 9.575673587391975e-15 relative error 5.0623023395333276e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) 0.1912499999999886 y[1] (numeric) 0.19124999999999842 absolute error 9.825473767932635e-15 relative error 5.137502623755933e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) 0.19335650666665494 y[1] (numeric) 0.193356506666665 absolute error 1.0075273948473296e-14 relative error 5.210724025875678e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) 0.1954760533333213 y[1] (numeric) 0.19547605333333162 absolute error 1.0325074129013956e-14 relative error 5.282014831457578e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) 0.19760867999998766 y[1] (numeric) 0.19760867999999823 absolute error 1.0574874309554616e-14 relative error 5.351421966664256e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) 0.19975442666665402 y[1] (numeric) 0.19975442666666487 absolute error 1.0852430065710905e-14 relative error 5.432885892346812e-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) 0.20191333333332037 y[1] (numeric) 0.20191333333333147 absolute error 1.1102230246251565e-14 relative error 5.4985126851052985e-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) 0.20408543999998674 y[1] (numeric) 0.20408543999999804 absolute error 1.1296519275560968e-14 relative error 5.535191180498571e-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) 0.20627078666665305 y[1] (numeric) 0.20627078666666457 absolute error 1.1518563880485999e-14 relative error 5.5841954484329105e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) 0.20846941333331942 y[1] (numeric) 0.20846941333333113 absolute error 1.1712852909795402e-14 relative error 5.618499482736037e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) 0.21068135999998575 y[1] (numeric) 0.21068135999999768 absolute error 1.1934897514720433e-14 relative error 5.664904344039378e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) 0.2129066666666521 y[1] (numeric) 0.21290666666666427 absolute error 1.2184697695261093e-14 relative error 5.7230230908357e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) 0.2151453733333184 y[1] (numeric) 0.21514537333333086 absolute error 1.2462253451417382e-14 relative error 5.792480339379634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) 0.21739751999998475 y[1] (numeric) 0.21739751999999746 absolute error 1.2712053631958042e-14 relative error 5.847377482484131e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) 0.21966314666665107 y[1] (numeric) 0.21966314666666398 absolute error 1.2906342661267445e-14 relative error 5.875515696246222e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) 0.2219422933333174 y[1] (numeric) 0.22194229333333054 absolute error 1.3156142841808105e-14 relative error 5.927731323407543e-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) 0.2242349999999837 y[1] (numeric) 0.22423499999999713 absolute error 1.3433698597964394e-14 relative error 5.990901776246068e-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) 0.22654130666665004 y[1] (numeric) 0.22654130666666372 absolute error 1.3683498778505054e-14 relative error 6.040178270287805e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) 0.22886125333331633 y[1] (numeric) 0.22886125333333027 absolute error 1.3933298959045715e-14 relative error 6.088098686916254e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) 0.23119487999998262 y[1] (numeric) 0.2311948799999968 absolute error 1.4183099139586375e-14 relative error 6.134694306200657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) 0.23354222666664895 y[1] (numeric) 0.23354222666666333 absolute error 1.4377388168895777e-14 relative error 6.156226381029424e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) 0.23590333333331526 y[1] (numeric) 0.23590333333332986 absolute error 1.459943277382081e-14 relative error 6.1887352618255754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) 0.23827823999998154 y[1] (numeric) 0.23827823999999645 absolute error 1.4904744105592727e-14 relative error 6.2551847393173125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) 0.24066698666664782 y[1] (numeric) 0.24066698666666303 absolute error 1.5210055437364645e-14 relative error 6.319959229984612e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) 0.24306961333331412 y[1] (numeric) 0.2430696133333296 absolute error 1.5487611193520934e-14 relative error 6.371677224945116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) 0.2454861599999804 y[1] (numeric) 0.2454861599999962 absolute error 1.5792922525292852e-14 relative error 6.43332500915494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) 0.24791666666664672 y[1] (numeric) 0.24791666666666276 absolute error 1.6042722705833512e-14 relative error 6.471014200672862e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) 0.250361173333313 y[1] (numeric) 0.25036117333332936 absolute error 1.637578961322106e-14 relative error 6.5408662993520575e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) 0.25281971999997926 y[1] (numeric) 0.2528197199999959 absolute error 1.6653345369377348e-14 relative error 6.587043672613321e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) 0.2552923466666456 y[1] (numeric) 0.2552923466666625 absolute error 1.6930901125533637e-14 relative error 6.631965801795692e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) 0.25777909333331184 y[1] (numeric) 0.2577790933333291 absolute error 1.7263968032921184e-14 relative error 6.697194799501696e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) 0.2602799999999781 y[1] (numeric) 0.2602799999999957 absolute error 1.759703494030873e-14 relative error 6.760809489899421e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) 0.26279510666664435 y[1] (numeric) 0.2627951066666623 absolute error 1.7930101847696278e-14 relative error 6.822844639356477e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) 0.2653244533333106 y[1] (numeric) 0.2653244533333288 absolute error 1.8207657603852567e-14 relative error 6.8624121806742854e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) 0.26786807999997686 y[1] (numeric) 0.2678680799999954 absolute error 1.8540724511240114e-14 relative error 6.9215878619213296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) 0.2704260266666431 y[1] (numeric) 0.270426026666662 absolute error 1.887379141862766e-14 relative error 6.979280674745694e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) 0.27299833333330936 y[1] (numeric) 0.27299833333332857 absolute error 1.9206858326015208e-14 relative error 7.0355221922051644e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) 0.27558503999997563 y[1] (numeric) 0.27558503999999506 absolute error 1.942890293094024e-14 relative error 7.050057191399779e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) 0.27818618666664185 y[1] (numeric) 0.2781861866666616 absolute error 1.9761969838327786e-14 relative error 7.103864528690311e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) 0.2808018133333081 y[1] (numeric) 0.2808018133333281 absolute error 1.9984014443252818e-14 relative error 7.11676830218046e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) 0.28343195999997434 y[1] (numeric) 0.2834319599999947 absolute error 2.0372592501871623e-14 relative error 7.187824725861355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) 0.28607666666664056 y[1] (numeric) 0.28607666666666126 absolute error 2.070565940925917e-14 relative error 7.2378008491643475e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y[1] (closed_form) 0.2887359733333068 y[1] (numeric) 0.2887359733333278 absolute error 2.098321516541546e-14 relative error 7.267267366506203e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y[1] (closed_form) 0.291409919999973 y[1] (numeric) 0.2914099199999944 absolute error 2.1371793224034263e-14 relative error 7.333927830609282e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y[1] (closed_form) 0.29409854666663926 y[1] (numeric) 0.29409854666666096 absolute error 2.170486013142181e-14 relative error 7.380131720278194e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y[1] (closed_form) 0.2968018933333055 y[1] (numeric) 0.29680189333332746 absolute error 2.19824158875781e-14 relative error 7.406427108903942e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y[1] (closed_form) 0.2995199999999717 y[1] (numeric) 0.29951999999999396 absolute error 2.225997164373439e-14 relative error 7.431881558405613e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y[1] (closed_form) 0.30225290666663784 y[1] (numeric) 0.30225290666666055 absolute error 2.270406085358445e-14 relative error 7.51161042716632e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y[1] (closed_form) 0.30500065333330406 y[1] (numeric) 0.30500065333332704 absolute error 2.298161660974074e-14 relative error 7.534940125071299e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y[1] (closed_form) 0.30776327999997033 y[1] (numeric) 0.30776327999999353 absolute error 2.3203661214665772e-14 relative error 7.539450845035186e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y[1] (closed_form) 0.3105408266666365 y[1] (numeric) 0.3105408266666601 absolute error 2.3592239273284576e-14 relative error 7.597145768730334e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y[1] (closed_form) 0.3133333333333027 y[1] (numeric) 0.3133333333333266 absolute error 2.3869795029440866e-14 relative error 7.618019690247829e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y[1] (closed_form) 0.31614083999996895 y[1] (numeric) 0.3161408399999931 absolute error 2.4147350785597155e-14 relative error 7.63816240432572e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y[1] (closed_form) 0.31896338666663515 y[1] (numeric) 0.3189633866666597 absolute error 2.453592884421596e-14 relative error 7.692396641705998e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y[1] (closed_form) 0.3218010133333013 y[1] (numeric) 0.32180101333332617 absolute error 2.4868995751603507e-14 relative error 7.728066327077026e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y[1] (closed_form) 0.3246537599999675 y[1] (numeric) 0.3246537599999927 absolute error 2.5202062658991053e-14 relative error 7.762750894674245e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y[1] (closed_form) 0.3275216666666336 y[1] (numeric) 0.32752166666665916 absolute error 2.55351295663786e-14 relative error 7.796470330119995e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y[1] (closed_form) 0.3304047733332999 y[1] (numeric) 0.3304047733333256 absolute error 2.5701663020072374e-14 relative error 7.778841316600928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y[1] (closed_form) 0.333303119999966 y[1] (numeric) 0.33330311999999207 absolute error 2.609024107869118e-14 relative error 7.827781833753563e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y[1] (closed_form) 0.33621674666663215 y[1] (numeric) 0.3362167466666586 absolute error 2.6423307986078726e-14 relative error 7.85901007253459e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y[1] (closed_form) 0.33914569333329836 y[1] (numeric) 0.33914569333332506 absolute error 2.6700863742235015e-14 relative error 7.872977386150828e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y[1] (closed_form) 0.34208999999996453 y[1] (numeric) 0.34208999999999157 absolute error 2.7033930649622562e-14 relative error 7.902578458775576e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y[1] (closed_form) 0.3450497066666307 y[1] (numeric) 0.345049706666658 absolute error 2.731148640577885e-14 relative error 7.915232465960566e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y[1] (closed_form) 0.3480248533332968 y[1] (numeric) 0.3480248533333245 absolute error 2.7700064464397656e-14 relative error 7.959220210595083e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y[1] (closed_form) 0.35101547999996296 y[1] (numeric) 0.351015479999991 absolute error 2.8033131371785203e-14 relative error 7.986294898386864e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y[1] (closed_form) 0.3540216266666292 y[1] (numeric) 0.3540216266666575 absolute error 2.8310687127941492e-14 relative error 7.996880697517601e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y[1] (closed_form) 0.35704333333329524 y[1] (numeric) 0.35704333333332383 absolute error 2.858824288409778e-14 relative error 8.006939274626095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y[1] (closed_form) 0.3600806399999614 y[1] (numeric) 0.36008063999999035 absolute error 2.892130979148533e-14 relative error 8.031898019146052e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y[1] (closed_form) 0.36313358666662754 y[1] (numeric) 0.36313358666665674 absolute error 2.919886554764162e-14 relative error 8.040805538168918e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y[1] (closed_form) 0.36620221333329367 y[1] (numeric) 0.3662022133333232 absolute error 2.9531932455029164e-14 relative error 8.06437847172461e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y[1] (closed_form) 0.3692865599999598 y[1] (numeric) 0.36928655999998966 absolute error 2.986499936241671e-14 relative error 8.087215349082826e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y[1] (closed_form) 0.3723866666666259 y[1] (numeric) 0.3723866666666561 absolute error 3.019806626980426e-14 relative error 8.1093306965361e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y[1] (closed_form) 0.375502573333292 y[1] (numeric) 0.3755025733333226 absolute error 3.058664432842306e-14 relative error 8.145521895338568e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y[1] (closed_form) 0.3786343199999581 y[1] (numeric) 0.3786343199999891 absolute error 3.097522238704187e-14 relative error 8.18077515716095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y[1] (closed_form) 0.38178194666662424 y[1] (numeric) 0.3817819466666556 absolute error 3.136380044566067e-14 relative error 8.215108314969082e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y[1] (closed_form) 0.3849454933332903 y[1] (numeric) 0.38494549333332206 absolute error 3.175237850427948e-14 relative error 8.248538833207717e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y[1] (closed_form) 0.3881249999999564 y[1] (numeric) 0.38812499999998856 absolute error 3.214095656289828e-14 relative error 8.281083816528668e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y[1] (closed_form) 0.39132050666662255 y[1] (numeric) 0.3913205066666551 absolute error 3.2529534621517087e-14 relative error 8.31276001828086e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y[1] (closed_form) 0.3945320533332886 y[1] (numeric) 0.3945320533333215 absolute error 3.2862601528904634e-14 relative error 8.32951372423556e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y[1] (closed_form) 0.3977596799999547 y[1] (numeric) 0.3977596799999879 absolute error 3.319566843629218e-14 relative error 8.345659478682193e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y[1] (closed_form) 0.4010034266666208 y[1] (numeric) 0.40100342666665434 absolute error 3.352873534367973e-14 relative error 8.361209185265706e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y[1] (closed_form) 0.40426333333328685 y[1] (numeric) 0.4042633333333208 absolute error 3.397282455352979e-14 relative error 8.403637370080649e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y[1] (closed_form) 0.40753943999995296 y[1] (numeric) 0.4075394399999873 absolute error 3.4361402612148595e-14 relative error 8.431430001511648e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y[1] (closed_form) 0.410831786666619 y[1] (numeric) 0.41083178666665376 absolute error 3.47499806707674e-14 relative error 8.458444988572962e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y[1] (closed_form) 0.4141404133332851 y[1] (numeric) 0.4141404133333202 absolute error 3.5083047578154947e-14 relative error 8.471292935597037e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y[1] (closed_form) 0.41746535999995116 y[1] (numeric) 0.41746535999998663 absolute error 3.547162563677375e-14 relative error 8.49690274584169e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y[1] (closed_form) 0.4208066666666172 y[1] (numeric) 0.420806666666653 absolute error 3.58046925441613e-14 relative error 8.508584910924774e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y[1] (closed_form) 0.4241643733332833 y[1] (numeric) 0.42416437333331947 absolute error 3.6193270602780103e-14 relative error 8.532840775465499e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y[1] (closed_form) 0.4275385199999493 y[1] (numeric) 0.4275385199999859 absolute error 3.658184866139891e-14 relative error 8.556386606147967e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y[1] (closed_form) 0.4309291466666154 y[1] (numeric) 0.43092914666665233 absolute error 3.6914915568786455e-14 relative error 8.566353855230256e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y[1] (closed_form) 0.4343362933332814 y[1] (numeric) 0.43433629333331875 absolute error 3.735900477863652e-14 relative error 8.60140065476169e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y[1] (closed_form) 0.4377599999999474 y[1] (numeric) 0.4377599999999852 absolute error 3.780309398848658e-14 relative error 8.635575198394354e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y[1] (closed_form) 0.4412003066666135 y[1] (numeric) 0.4412003066666516 absolute error 3.813616089587413e-14 relative error 8.643729462475455e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y[1] (closed_form) 0.44465725333327955 y[1] (numeric) 0.44465725333331796 absolute error 3.8413716652030416e-14 relative error 8.638949744791089e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y[1] (closed_form) 0.4481308799999455 y[1] (numeric) 0.4481308799999844 absolute error 3.8913317013111737e-14 relative error 8.683471447697706e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y[1] (closed_form) 0.45162122666661153 y[1] (numeric) 0.4516212266666509 absolute error 3.93574062229618e-14 relative error 8.714693619132208e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y[1] (closed_form) 0.4551283333332775 y[1] (numeric) 0.4551283333333172 absolute error 3.9690473130349346e-14 relative error 8.720721217170442e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y[1] (closed_form) 0.45865223999994353 y[1] (numeric) 0.45865223999998356 absolute error 4.0023540037736893e-14 relative error 8.726336981967387e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y[1] (closed_form) 0.4621929866666096 y[1] (numeric) 0.46219298666664993 absolute error 4.035660694512444e-14 relative error 8.731548965331789e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y[1] (closed_form) 0.4657506133332756 y[1] (numeric) 0.4657506133333163 absolute error 4.068967385251199e-14 relative error 8.73636506054278e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y[1] (closed_form) 0.46932515999994157 y[1] (numeric) 0.46932515999998264 absolute error 4.107825191113079e-14 relative error 8.752620871878232e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) 0.4729166666666076 y[1] (numeric) 0.47291666666664917 absolute error 4.157785227221211e-14 relative error 8.791792550953439e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) 0.4765251733332735 y[1] (numeric) 0.4765251733333155 absolute error 4.2021941482062175e-14 relative error 8.818409568611132e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) 0.4801507199999395 y[1] (numeric) 0.48015071999998193 absolute error 4.241051954068098e-14 relative error 8.832751420363655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) 0.4837933466666055 y[1] (numeric) 0.48379334666664825 absolute error 4.2743586448068527e-14 relative error 8.83509183054645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) 0.48745309333327147 y[1] (numeric) 0.48745309333331466 absolute error 4.318767565791859e-14 relative error 8.859862876773498e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) 0.49112999999993745 y[1] (numeric) 0.491129999999981 absolute error 4.3576253716537394e-14 relative error 8.87265158238001e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) 0.4948241066666035 y[1] (numeric) 0.4948241066666474 absolute error 4.390932062392494e-14 relative error 8.873723012349037e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) 0.49853545333326943 y[1] (numeric) 0.4985354533333138 absolute error 4.4353409833775004e-14 relative error 8.896741352540255e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) 0.5022640799999354 y[1] (numeric) 0.50226407999998 absolute error 4.463096558993129e-14 relative error 8.88595608707217e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) 0.5060100266666012 y[1] (numeric) 0.5060100266666464 absolute error 4.518607710224387e-14 relative error 8.929877812878988e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) 0.5097733333332672 y[1] (numeric) 0.5097733333333129 absolute error 4.5630166312093934e-14 relative error 8.951069686939263e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) 0.5135540399999332 y[1] (numeric) 0.5135540399999793 absolute error 4.6074255521943996e-14 relative error 8.971646980315838e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) 0.5173521866665991 y[1] (numeric) 0.5173521866666457 absolute error 4.6629367034256575e-14 relative error 9.013080109837492e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) 0.5211678133332651 y[1] (numeric) 0.5211678133333121 absolute error 4.696243394164412e-14 relative error 9.011000437898033e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) 0.525000959999931 y[1] (numeric) 0.5250009599999783 absolute error 4.729550084903167e-14 relative error 9.008650355427518e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) 0.5288516666665969 y[1] (numeric) 0.5288516666666448 absolute error 4.796163466380676e-14 relative error 9.069014562460127e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) 0.5327199733332628 y[1] (numeric) 0.5327199733333111 absolute error 4.829470157119431e-14 relative error 9.065682532796974e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) 0.5366059199999288 y[1] (numeric) 0.5366059199999775 absolute error 4.873879078104437e-14 relative error 9.082790361509772e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) 0.5405095466665946 y[1] (numeric) 0.540509546666644 absolute error 4.9404924595819466e-14 relative error 9.140435150592109e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) 0.5444308933332607 y[1] (numeric) 0.5444308933333103 absolute error 4.96269692007445e-14 relative error 9.115384488360859e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) 0.5483699999999265 y[1] (numeric) 0.5483699999999767 absolute error 5.0182080713057076e-14 relative error 9.15113531248314e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) 0.5523269066665923 y[1] (numeric) 0.5523269066666431 absolute error 5.0737192225369654e-14 relative error 9.186080129896107e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) 0.5563016533332583 y[1] (numeric) 0.5563016533333095 absolute error 5.1181281435219717e-14 relative error 9.200274909943335e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) 0.5602942799999242 y[1] (numeric) 0.5602942799999758 absolute error 5.162537064506978e-14 relative error 9.213974243156072e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) 0.56430482666659 y[1] (numeric) 0.5643048266666422 absolute error 5.218048215738236e-14 relative error 9.24686086164071e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) 0.5683333333332559 y[1] (numeric) 0.5683333333333087 absolute error 5.284661597215745e-14 relative error 9.29852480448645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) 0.5723798399999218 y[1] (numeric) 0.572379839999975 absolute error 5.3179682879545e-14 relative error 9.290977627645352e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) 0.5764443866665877 y[1] (numeric) 0.5764443866666414 absolute error 5.3734794391857577e-14 relative error 9.3217655744018e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) 0.5805270133332535 y[1] (numeric) 0.5805270133333078 absolute error 5.4289905904170155e-14 relative error 9.351831121940375e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) 0.5846277599999194 y[1] (numeric) 0.5846277599999742 absolute error 5.473399511402022e-14 relative error 9.362195718182756e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) 0.5887466666665853 y[1] (numeric) 0.5887466666666406 absolute error 5.5289106626332796e-14 relative error 9.390984230853186e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) 0.5928837733332512 y[1] (numeric) 0.5928837733333069 absolute error 5.573319583618286e-14 relative error 9.400357767062053e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) 0.597039119999917 y[1] (numeric) 0.5970391199999733 absolute error 5.6288307348495437e-14 relative error 9.427909405417733e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) 0.6012127466665829 y[1] (numeric) 0.6012127466666395 absolute error 5.6621374255882984e-14 relative error 9.417859912288877e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) 0.6054046933332486 y[1] (numeric) 0.6054046933333058 absolute error 5.717648576819556e-14 relative error 9.444341346842256e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) 0.6096149999999145 y[1] (numeric) 0.6096149999999718 absolute error 5.728750807065808e-14 relative error 9.397325864794355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) 0.6138437066665803 y[1] (numeric) 0.6138437066666381 absolute error 5.784261958297066e-14 relative error 9.423020706211926e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) 0.6180908533332461 y[1] (numeric) 0.6180908533333045 absolute error 5.839773109528323e-14 relative error 9.448082070840462e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) 0.622356479999912 y[1] (numeric) 0.6223564799999706 absolute error 5.861977570020827e-14 relative error 9.419003028652736e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) 0.6266406266665777 y[1] (numeric) 0.6266406266666368 absolute error 5.906386491005833e-14 relative error 9.425476484703722e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) 0.6309433333332435 y[1] (numeric) 0.6309433333333029 absolute error 5.939693181744587e-14 relative error 9.413988337693454e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) 0.6352646399999093 y[1] (numeric) 0.6352646399999692 absolute error 5.984102102729594e-14 relative error 9.419857057887635e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) 0.6396045866665752 y[1] (numeric) 0.6396045866666356 absolute error 6.039613253960852e-14 relative error 9.44272974250776e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) 0.6439632133332409 y[1] (numeric) 0.643963213333302 absolute error 6.106226635438361e-14 relative error 9.482260025121162e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) 0.6483405599999068 y[1] (numeric) 0.6483405599999683 absolute error 6.150635556423367e-14 relative error 9.486735731024219e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) 0.6527366666665726 y[1] (numeric) 0.6527366666666347 absolute error 6.206146707654625e-14 relative error 9.507887368038442e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) 0.6571515733332383 y[1] (numeric) 0.6571515733333009 absolute error 6.261657858885883e-14 relative error 9.528483401668168e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) 0.661585319999904 y[1] (numeric) 0.6615853199999673 absolute error 6.328271240363392e-14 relative error 9.56531387420191e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) 0.6660379466665698 y[1] (numeric) 0.6660379466666336 absolute error 6.38378239159465e-14 relative error 9.584712738282588e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) 0.6705094933332356 y[1] (numeric) 0.6705094933332998 absolute error 6.417089082333405e-14 relative error 9.570467153914232e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) 0.6749999999999013 y[1] (numeric) 0.674999999999966 absolute error 6.461498003318411e-14 relative error 9.572589634547193e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) 0.6795095066665671 y[1] (numeric) 0.6795095066666322 absolute error 6.517009154549669e-14 relative error 9.590754935158755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) 0.6840380533332329 y[1] (numeric) 0.6840380533332987 absolute error 6.583622536027178e-14 relative error 9.624643693353022e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) 0.6885856799998986 y[1] (numeric) 0.688585679999965 absolute error 6.639133687258436e-14 relative error 9.641695841335844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) 0.6931524266665643 y[1] (numeric) 0.6931524266666312 absolute error 6.694644838489694e-14 relative error 9.658257810168646e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) 0.6977383333332301 y[1] (numeric) 0.6977383333332972 absolute error 6.705747068735946e-14 relative error 9.610690352501206e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) 0.7023434399998958 y[1] (numeric) 0.7023434399999633 absolute error 6.750155989720952e-14 relative error 9.610904872581929e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) 0.7069677866665615 y[1] (numeric) 0.7069677866666295 absolute error 6.80566714095221e-14 relative error 9.626559044566589e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) 0.7116114133332272 y[1] (numeric) 0.7116114133332958 absolute error 6.861178292183467e-14 relative error 9.64174852121234e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) 0.716274359999893 y[1] (numeric) 0.7162743599999621 absolute error 6.916689443414725e-14 relative error 9.656480574588428e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) 0.7209566666665586 y[1] (numeric) 0.7209566666666283 absolute error 6.972200594645983e-14 relative error 9.670762359245394e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) 0.7256583733332242 y[1] (numeric) 0.7256583733332945 absolute error 7.027711745877241e-14 relative error 9.68460091433424e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) 0.73037951999989 y[1] (numeric) 0.7303795199999605 absolute error 7.049916206369744e-14 relative error 9.652401269918967e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) 0.7351201466665557 y[1] (numeric) 0.7351201466666267 absolute error 7.105427357601002e-14 relative error 9.665668108568332e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) 0.7398802933332214 y[1] (numeric) 0.7398802933332929 absolute error 7.149836278586008e-14 relative error 9.663504141156957e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) 0.7446599999998871 y[1] (numeric) 0.7446599999999591 absolute error 7.205347429817266e-14 relative error 9.676023191548302e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) 0.7494593066665528 y[1] (numeric) 0.7494593066666254 absolute error 7.260858581048524e-14 relative error 9.688129183882433e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) 0.7542782533332184 y[1] (numeric) 0.7542782533332917 absolute error 7.327471962526033e-14 relative error 9.714547556084674e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) 0.7591168799998841 y[1] (numeric) 0.7591168799999579 absolute error 7.382983113757291e-14 relative error 9.725752790213832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) 0.7639752266665498 y[1] (numeric) 0.7639752266666242 absolute error 7.438494264988549e-14 relative error 9.736564754128091e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) 0.7688533333332154 y[1] (numeric) 0.7688533333332903 absolute error 7.494005416219807e-14 relative error 9.74698956396663e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) 0.773751239999881 y[1] (numeric) 0.7737512399999565 absolute error 7.549516567451064e-14 relative error 9.75703323907077e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) 0.7786689866665467 y[1] (numeric) 0.7786689866666227 absolute error 7.593925488436071e-14 relative error 9.752443744992832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) 0.7836066133332122 y[1] (numeric) 0.7836066133332888 absolute error 7.66053886991358e-14 relative error 9.776000788620319e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) 0.788564159999878 y[1] (numeric) 0.7885641599999549 absolute error 7.693845560652335e-14 relative error 9.756778143015688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) 0.7935416666665436 y[1] (numeric) 0.793541666666621 absolute error 7.738254481637341e-14 relative error 9.751541483818588e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) 0.7985391733332092 y[1] (numeric) 0.7985391733332872 absolute error 7.793765632868599e-14 relative error 9.760029179703708e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) 0.8035567199998748 y[1] (numeric) 0.8035567199999534 absolute error 7.860379014346108e-14 relative error 9.781984045068198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) 0.8085943466665404 y[1] (numeric) 0.8085943466666196 absolute error 7.915890165577366e-14 relative error 9.789692691039593e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) 0.813652093333206 y[1] (numeric) 0.8136520933332858 absolute error 7.982503547054876e-14 relative error 9.810708547868123e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) 0.8187299999998716 y[1] (numeric) 0.818729999999952 absolute error 8.038014698286133e-14 relative error 9.817662353019181e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) 0.8238281066665372 y[1] (numeric) 0.8238281066666181 absolute error 8.093525849517391e-14 relative error 9.824289538100727e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) 0.8289464533332028 y[1] (numeric) 0.8289464533332845 absolute error 8.171241461241152e-14 relative error 9.85738153337227e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) 0.8340850799998684 y[1] (numeric) 0.8340850799999507 absolute error 8.237854842718662e-14 relative error 9.876516245464985e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) 0.839244026666534 y[1] (numeric) 0.8392440266666168 absolute error 8.282263763703668e-14 relative error 9.868719348055069e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) 0.8444233333331995 y[1] (numeric) 0.8444233333332828 absolute error 8.326672684688674e-14 relative error 9.860779961895093e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) 0.8496230399998652 y[1] (numeric) 0.8496230399999489 absolute error 8.37108160567368e-14 relative error 9.852700799727616e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) 0.8548431866665307 y[1] (numeric) 0.8548431866666151 absolute error 8.43769498715119e-14 relative error 9.87045942315346e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) 0.8600838133331963 y[1] (numeric) 0.8600838133332811 absolute error 8.482103908136196e-14 relative error 9.861950401396788e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) 0.8653449599998617 y[1] (numeric) 0.8653449599999472 absolute error 8.548717289613705e-14 relative error 9.878970450830466e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) 0.8706266666665273 y[1] (numeric) 0.8706266666666134 absolute error 8.604228440844963e-14 relative error 9.882799103534243e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) 0.8759289733331929 y[1] (numeric) 0.8759289733332796 absolute error 8.670841822322473e-14 relative error 9.899023877846074e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) 0.8812519199998583 y[1] (numeric) 0.8812519199999456 absolute error 8.72635297355373e-14 relative error 9.902222934793871e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) 0.886595546666524 y[1] (numeric) 0.8865955466666118 absolute error 8.781864124784988e-14 relative error 9.905152532971293e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) 0.8919598933331895 y[1] (numeric) 0.891959893333278 absolute error 8.848477506262498e-14 relative error 9.920263873296342e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) 0.8973449999998551 y[1] (numeric) 0.8973449999999439 absolute error 8.881784197001252e-14 relative error 9.897847758668836e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) 0.9027509066665205 y[1] (numeric) 0.9027509066666098 absolute error 8.93729534823251e-14 relative error 9.900067983574986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) 0.908177653333186 y[1] (numeric) 0.908177653333276 absolute error 9.00390872971002e-14 relative error 9.914259282491646e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) 0.9136252799998514 y[1] (numeric) 0.9136252799999421 absolute error 9.070522111187529e-14 relative error 9.928055089707023e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) 0.919093826666517 y[1] (numeric) 0.9190938266666081 absolute error 9.114931032172535e-14 relative error 9.917301985621744e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) 0.9245833333331824 y[1] (numeric) 0.9245833333332741 absolute error 9.170442183403793e-14 relative error 9.918459324097654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) 0.930093839999848 y[1] (numeric) 0.9300938399999402 absolute error 9.225953334635051e-14 relative error 9.919379032374366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) 0.9356253866665134 y[1] (numeric) 0.9356253866666064 absolute error 9.303668946358812e-14 relative error 9.943797035591698e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) 0.9411780133331789 y[1] (numeric) 0.9411780133332724 absolute error 9.35918009759007e-14 relative error 9.944112553633254e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) 0.9467517599998443 y[1] (numeric) 0.9467517599999385 absolute error 9.425793479067579e-14 relative error 9.955929185776353e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) 0.9523466666665098 y[1] (numeric) 0.9523466666666045 absolute error 9.470202400052585e-14 relative error 9.944070506595089e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) 0.9579627733331753 y[1] (numeric) 0.9579627733332705 absolute error 9.525713551283843e-14 relative error 9.943719961204423e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) 0.9636001199998407 y[1] (numeric) 0.9636001199999367 absolute error 9.592326932761353e-14 relative error 9.954675942509159e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) 0.9692587466665061 y[1] (numeric) 0.9692587466666027 absolute error 9.658940314238862e-14 relative error 9.965285686054504e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) 0.9749386933331714 y[1] (numeric) 0.9749386933332689 absolute error 9.747758156208874e-14 relative error 9.998329354313273e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) 0.980639999999837 y[1] (numeric) 0.980639999999935 absolute error 9.803269307440132e-14 relative error 9.996807500654432e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) 0.9863627066665024 y[1] (numeric) 0.9863627066666012 absolute error 9.880984919163893e-14 relative error 1.0017597839396759e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) 0.9921068533331678 y[1] (numeric) 0.9921068533332673 absolute error 9.947598300641403e-14 relative error 1.002674083665544e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) 0.9978724799998333 y[1] (numeric) 0.9978724799999334 absolute error 1.0014211682118912e-13 relative error 1.0035562542140239e-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) 1.0036596266664988 y[1] (numeric) 1.0036596266665994 absolute error 1.0058620603103918e-13 relative error 1.0021944029483463e-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) 1.009468333333164 y[1] (numeric) 1.0094683333332655 absolute error 1.0147438445073931e-13 relative error 1.0052260293859936e-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) 1.0152986399998294 y[1] (numeric) 1.0152986399999315 absolute error 1.021405182655144e-13 relative error 1.0060145285482858e-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) 1.021150586666495 y[1] (numeric) 1.0211505866665975 absolute error 1.0258460747536446e-13 relative error 1.0045982327665089e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) 1.0270242133331602 y[1] (numeric) 1.0270242133332637 absolute error 1.0347278589506459e-13 relative error 1.0075009386511774e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) 1.0329195599998255 y[1] (numeric) 1.0329195599999292 absolute error 1.0369483049998962e-13 relative error 1.0039003472836465e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) 1.038836666666491 y[1] (numeric) 1.0388366666665954 absolute error 1.0436096431476471e-13 relative error 1.0045945398678235e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) 1.0447755733331565 y[1] (numeric) 1.0447755733332615 absolute error 1.0502709812953981e-13 relative error 1.0052598932273173e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) 1.0507363199998216 y[1] (numeric) 1.0507363199999276 absolute error 1.0591527654923993e-13 relative error 1.008010045272423e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) 1.056718946666487 y[1] (numeric) 1.0567189466665936 absolute error 1.0658141036401503e-13 relative error 1.008606978234236e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) 1.0627234933331522 y[1] (numeric) 1.0627234933332597 absolute error 1.0746958878371515e-13 relative error 1.01126576628738e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) 1.0687499999998178 y[1] (numeric) 1.0687499999999257 absolute error 1.0791367799356522e-13 relative error 1.0097186245013672e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) 1.074798506666483 y[1] (numeric) 1.074798506666592 absolute error 1.0902390101819037e-13 relative error 1.0143659517757519e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) 1.0808690533331484 y[1] (numeric) 1.080869053333258 absolute error 1.0946799022804043e-13 relative error 1.0127775412800158e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) 1.0869616799998136 y[1] (numeric) 1.086961679999924 absolute error 1.1035616864774056e-13 relative error 1.0152719334848998e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) 1.093076426666479 y[1] (numeric) 1.0930764266665898 absolute error 1.1080025785759062e-13 relative error 1.0136551768433494e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) 1.0992133333331444 y[1] (numeric) 1.0992133333332557 absolute error 1.1124434706744069e-13 relative error 1.0120360051502875e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) 1.1053724399998095 y[1] (numeric) 1.1053724399999216 absolute error 1.1213252548714081e-13 relative error 1.0144320722087131e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) 1.1115537866664749 y[1] (numeric) 1.1115537866665877 absolute error 1.127986593019159e-13 relative error 1.0147836357986471e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) 1.1177574133331403 y[1] (numeric) 1.1177574133332537 absolute error 1.13464793116691e-13 relative error 1.0151110765469248e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) 1.1239833599998055 y[1] (numeric) 1.1239833599999196 absolute error 1.141309269314661e-13 relative error 1.0154147382705545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) 1.1302316666664707 y[1] (numeric) 1.1302316666665855 absolute error 1.1479706074624119e-13 relative error 1.0156949599972374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) 1.136502373333136 y[1] (numeric) 1.1365023733332515 absolute error 1.1546319456101628e-13 relative error 1.0159520760382191e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) 1.1427955199998014 y[1] (numeric) 1.1427955199999176 absolute error 1.1612932837579137e-13 relative error 1.016186416059905e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) 1.1491111466664665 y[1] (numeric) 1.1491111466665833 absolute error 1.1679546219056647e-13 relative error 1.0163983051542599e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) 1.155449293333132 y[1] (numeric) 1.15544929333325 absolute error 1.1812772982011666e-13 relative error 1.0223532136088192e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) 1.161809999999797 y[1] (numeric) 1.1618099999999159 absolute error 1.1879386363489175e-13 relative error 1.0224895949846576e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) 1.1681933066664625 y[1] (numeric) 1.1681933066665817 absolute error 1.192379528447418e-13 relative error 1.0207039551099407e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) 1.1745992533331275 y[1] (numeric) 1.1745992533332477 absolute error 1.2012613126444194e-13 relative error 1.0226988560018522e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) 1.1810278799997929 y[1] (numeric) 1.1810278799999137 absolute error 1.2079226507921703e-13 relative error 1.0227723419978724e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) 1.187479226666458 y[1] (numeric) 1.1874792266665797 absolute error 1.2168044349891716e-13 relative error 1.0246953442756524e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) 1.1939533333331234 y[1] (numeric) 1.1939533333332455 absolute error 1.2212453270876722e-13 relative error 1.02285850961893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) 1.2004502399997885 y[1] (numeric) 1.2004502399999109 absolute error 1.2234657731369225e-13 relative error 1.0191724174565853e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) 1.2069699866664538 y[1] (numeric) 1.2069699866665766 absolute error 1.2279066652354231e-13 relative error 1.0173464782059699e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) 1.2135126133331187 y[1] (numeric) 1.2135126133332423 absolute error 1.2367884494324244e-13 relative error 1.0191805473165826e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) 1.220078159999784 y[1] (numeric) 1.2200781599999082 absolute error 1.241229341530925e-13 relative error 1.017335923406042e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) 1.2266666666664492 y[1] (numeric) 1.2266666666665742 absolute error 1.2501111257279263e-13 relative error 1.0191123307566423e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) 1.2332781733331175 y[1] (numeric) 1.23327817333324 absolute error 1.2256862191861728e-13 relative error 9.938440861833901e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) 1.2399127199997855 y[1] (numeric) 1.239912719999906 absolute error 1.20570220474292e-13 relative error 9.724089327377242e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) 1.2465703466664535 y[1] (numeric) 1.246570346666572 absolute error 1.1857181902996672e-13 relative error 9.51184338268983e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) 1.2532510933331218 y[1] (numeric) 1.2532510933332381 absolute error 1.163513729807164e-13 relative error 9.283963413211203e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) 1.2599549999997899 y[1] (numeric) 1.2599549999999042 absolute error 1.1435297153639112e-13 relative error 9.075956802934247e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) 1.2666821066664582 y[1] (numeric) 1.2666821066665703 absolute error 1.1213252548714081e-13 relative error 8.852459894790908e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) 1.2734324533331263 y[1] (numeric) 1.2734324533332364 absolute error 1.1013412404281553e-13 relative error 8.648603524635064e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) 1.2802060799997945 y[1] (numeric) 1.2802060799999022 absolute error 1.0769163338864018e-13 relative error 8.412054517711514e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) 1.287003026666463 y[1] (numeric) 1.2870030266665684 absolute error 1.0547118733938987e-13 relative error 8.195100178791076e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) 1.293823333333131 y[1] (numeric) 1.2938233333332345 absolute error 1.0347278589506459e-13 relative error 7.997443177075755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) 1.3006670399997993 y[1] (numeric) 1.3006670399999005 absolute error 1.0125233984581428e-13 relative error 7.784647164260416e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) 1.3075341866664676 y[1] (numeric) 1.3075341866665664 absolute error 9.880984919163893e-14 relative error 7.556961049221411e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) 1.3144248133331358 y[1] (numeric) 1.3144248133332324 absolute error 9.658940314238862e-14 relative error 7.3484159886982e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) 1.3213389599998042 y[1] (numeric) 1.3213389599998984 absolute error 9.414691248821327e-14 relative error 7.125114398218246e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) 1.3282766666664725 y[1] (numeric) 1.3282766666665646 absolute error 9.214851104388799e-14 relative error 6.937448602116135e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) 1.335237973333141 y[1] (numeric) 1.335237973333231 absolute error 8.992806499463768e-14 relative error 6.734984084533723e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) 1.3422229199998092 y[1] (numeric) 1.342222919999897 absolute error 8.770761894538737e-14 relative error 6.534504636934663e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) 1.3492315466664775 y[1] (numeric) 1.349231546666563 absolute error 8.548717289613705e-14 relative error 6.335989779319102e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) 1.356263893333146 y[1] (numeric) 1.3562638933332292 absolute error 8.326672684688674e-14 relative error 6.139419272030529e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y[1] (closed_form) 1.3633199999998145 y[1] (numeric) 1.363319999999895 absolute error 8.060219158778636e-14 relative error 5.912199013276218e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) 1.3703999066664827 y[1] (numeric) 1.370399906666561 absolute error 7.838174553853605e-14 relative error 5.71962572072854e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y[1] (closed_form) 1.377503653333151 y[1] (numeric) 1.3775036533332272 absolute error 7.616129948928574e-14 relative error 5.528936297555214e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) 1.3846312799998195 y[1] (numeric) 1.3846312799998934 absolute error 7.394085344003543e-14 relative error 5.3401114439683225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) 1.3917828266664882 y[1] (numeric) 1.3917828266665593 absolute error 7.105427357601002e-14 relative error 5.105270176827429e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) 1.3989583333331566 y[1] (numeric) 1.3989583333332254 absolute error 6.88338275267597e-14 relative error 4.92036295053594e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) 1.4061578399998251 y[1] (numeric) 1.4061578399998917 absolute error 6.661338147750939e-14 relative error 4.737262032939181e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y[1] (closed_form) 1.4133813866664937 y[1] (numeric) 1.4133813866665579 absolute error 6.417089082333405e-14 relative error 4.540238850511764e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) 1.420629013333162 y[1] (numeric) 1.420629013333224 absolute error 6.195044477408373e-14 relative error 4.360775698134731e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) 1.4279007599998303 y[1] (numeric) 1.42790075999989 absolute error 5.972999872483342e-14 relative error 4.183063725299825e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) 1.4351966666664993 y[1] (numeric) 1.4351966666665563 absolute error 5.706546346573305e-14 relative error 3.976142419441218e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) 1.4425167733331676 y[1] (numeric) 1.4425167733332225 absolute error 5.484501741648273e-14 relative error 3.8020367201522704e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) 1.4498611199998366 y[1] (numeric) 1.4498611199998885 absolute error 5.1958437552457326e-14 relative error 3.5836837636189032e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) 1.457229746666505 y[1] (numeric) 1.4572297466665545 absolute error 4.951594689828198e-14 relative error 3.3979505984936484e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) 1.4646226933331736 y[1] (numeric) 1.4646226933332207 absolute error 4.707345624410664e-14 relative error 3.214032969609213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) 1.4720399999998421 y[1] (numeric) 1.472039999999887 absolute error 4.4853010194856324e-14 relative error 3.0469966981101827e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) 1.4794817066665107 y[1] (numeric) 1.4794817066665524 absolute error 4.1744385725905886e-14 relative error 2.821554706476372e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) 1.4869478533331795 y[1] (numeric) 1.4869478533332185 absolute error 3.907985046680551e-14 relative error 2.6281923995655356e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) 1.494438479999848 y[1] (numeric) 1.4944384799998847 absolute error 3.6637359812630166e-14 relative error 2.451580329531791e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 1.5019536266665168 y[1] (numeric) 1.501953626666551 absolute error 3.419486915845482e-14 relative error 2.276692738799665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 1.5094933333331855 y[1] (numeric) 1.509493333333217 absolute error 3.1530333899354446e-14 relative error 2.08880246126896e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) 1.5170576399998543 y[1] (numeric) 1.517057639999883 absolute error 2.864375403532904e-14 relative error 1.888112440825372e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 1.524646586666523 y[1] (numeric) 1.5246465866665493 absolute error 2.6201263381153694e-14 relative error 1.7185138910414614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 1.5322602133331915 y[1] (numeric) 1.532260213333216 absolute error 2.4424906541753444e-14 relative error 1.5940442967334442e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 1.5398985599998603 y[1] (numeric) 1.5398985599998822 absolute error 2.19824158875781e-14 relative error 1.4275236342567977e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) 1.5475616666665293 y[1] (numeric) 1.5475616666665484 absolute error 1.9095836023552692e-14 relative error 1.2339305395619812e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) 1.5552495733331981 y[1] (numeric) 1.5552495733332146 absolute error 1.6431300764452317e-14 relative error 1.056505723980807e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) 1.5629623199998668 y[1] (numeric) 1.5629623199998808 absolute error 1.3988810110276972e-14 relative error 8.950190245327325e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) 1.5706999466665355 y[1] (numeric) 1.5706999466665468 absolute error 1.1324274851176597e-14 relative error 7.209699647096745e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) 1.5784624933332045 y[1] (numeric) 1.5784624933332132 absolute error 8.659739592076221e-15 relative error 5.486186481244568e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) 1.5862499999998734 y[1] (numeric) 1.5862499999998796 absolute error 6.217248937900877e-15 relative error 3.9194634754303374e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) 1.5940625066665421 y[1] (numeric) 1.5940625066665457 absolute error 3.552713678800501e-15 relative error 2.2287166682251589e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) 1.6019000533332108 y[1] (numeric) 1.601900053333212 absolute error 1.1102230246251565e-15 relative error 6.930663509967556e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) 1.6097626799998799 y[1] (numeric) 1.6097626799998779 absolute error 1.9984014443252818e-15 relative error 1.2414261239584899e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) 1.617650426666549 y[1] (numeric) 1.6176504266665441 absolute error 4.884981308350689e-15 relative error 3.0198003399393556e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) 1.625563333333218 y[1] (numeric) 1.6255633333332105 absolute error 7.549516567451064e-15 relative error 4.6442463438018e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) 1.6335014399998866 y[1] (numeric) 1.6335014399998773 absolute error 9.325873406851315e-15 relative error 5.709130814633358e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) 1.6414647866665555 y[1] (numeric) 1.6414647866665435 absolute error 1.199040866595169e-14 relative error 7.304700510999998e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) 1.6494534133332248 y[1] (numeric) 1.64945341333321 absolute error 1.4876988529977098e-14 relative error 9.019344474793983e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) 1.6574673599998937 y[1] (numeric) 1.6574673599998764 absolute error 1.7319479184152442e-14 relative error 1.0449363650909875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) 1.665506666666563 y[1] (numeric) 1.6655066666665428 absolute error 2.020605904817785e-14 relative error 1.2132079356139338e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) 1.6735713733332318 y[1] (numeric) 1.6735713733332094 absolute error 2.2426505097428162e-14 relative error 1.340038761105334e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) 1.681661519999901 y[1] (numeric) 1.6816615199998757 absolute error 2.531308496145357e-14 relative error 1.5052425628110381e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) 1.6897771466665699 y[1] (numeric) 1.6897771466665417 absolute error 2.8199664825478976e-14 relative error 1.6688392833995043e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) 1.697918293333239 y[1] (numeric) 1.6979182933332082 absolute error 3.086420008457935e-14 relative error 1.8177670978494984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) 1.7060849999999081 y[1] (numeric) 1.7060849999998746 absolute error 3.352873534367973e-14 relative error 1.965244131662932e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) 1.7142773066665773 y[1] (numeric) 1.714277306666541 absolute error 3.6193270602780103e-14 relative error 2.111284473173021e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) 1.7224952533332463 y[1] (numeric) 1.7224952533332076 absolute error 3.863576125695545e-14 relative error 2.243011188692123e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) 1.7307388799999157 y[1] (numeric) 1.730738879999874 absolute error 4.1744385725905886e-14 relative error 2.4119401377236017e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) 1.7390082266665847 y[1] (numeric) 1.7390082266665405 absolute error 4.418687638008123e-14 relative error 2.5409239417332013e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) 1.747303333333254 y[1] (numeric) 1.747303333333207 absolute error 4.6851411639181606e-14 relative error 2.681355363170127e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) 1.7556242399999231 y[1] (numeric) 1.7556242399998736 absolute error 4.951594689828198e-14 relative error 2.820418274600956e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) 1.7639709866665922 y[1] (numeric) 1.76397098666654 absolute error 5.218048215738236e-14 relative error 2.9581258734866582e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) 1.7723436133332613 y[1] (numeric) 1.7723436133332062 absolute error 5.5067062021407764e-14 relative error 3.1070195196428467e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) 1.7807421599999307 y[1] (numeric) 1.7807421599998727 absolute error 5.795364188543317e-14 relative error 3.254465648493178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) 1.7891666666666002 y[1] (numeric) 1.7891666666665391 absolute error 6.106226635438361e-14 relative error 3.4128886644277158e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) 1.7976171733332693 y[1] (numeric) 1.797617173333206 absolute error 6.328271240363392e-14 relative error 3.520366479715513e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) 1.8060937199999385 y[1] (numeric) 1.8060937199998726 absolute error 6.59472476627343e-14 relative error 3.651374617632608e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) 1.8145963466666082 y[1] (numeric) 1.8145963466665391 absolute error 6.905587213168474e-14 relative error 3.805577601792242e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) 1.8231250933332772 y[1] (numeric) 1.8231250933332057 absolute error 7.149836278586008e-14 relative error 3.921747500888015e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) 1.8316799999999467 y[1] (numeric) 1.8316799999998723 absolute error 7.438494264988549e-14 relative error 4.061022812384677e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) 1.8402611066666164 y[1] (numeric) 1.8402611066665389 absolute error 7.749356711883593e-14 relative error 4.211009341995225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) 1.8488684533332855 y[1] (numeric) 1.8488684533332052 absolute error 8.038014698286133e-14 relative error 4.347531964101917e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) 1.8575020799999546 y[1] (numeric) 1.8575020799998723 absolute error 8.237854842718662e-14 relative error 4.43491015779582e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) 1.8661620266666243 y[1] (numeric) 1.8661620266665386 absolute error 8.570921750106208e-14 relative error 4.5928068557989896e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) 1.874848333333294 y[1] (numeric) 1.874848333333205 absolute error 8.881784197001252e-14 relative error 4.737334769479899e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) 1.8835610399999632 y[1] (numeric) 1.883561039999872 absolute error 9.126033262418787e-14 relative error 4.845095576206527e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) 1.8923001866666325 y[1] (numeric) 1.8923001866665385 absolute error 9.392486788328824e-14 relative error 4.963528965705008e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) 1.9010658133333018 y[1] (numeric) 1.901065813333205 absolute error 9.681144774731365e-14 relative error 5.092482704613252e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) 1.9098579599999719 y[1] (numeric) 1.9098579599998715 absolute error 1.0036416142611415e-13 relative error 5.255058937792192e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) 1.918676666666641 y[1] (numeric) 1.9186766666665382 absolute error 1.028066520802895e-13 relative error 5.358206198384522e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) 1.9275219733333109 y[1] (numeric) 1.927521973333205 absolute error 1.0591527654923993e-13 relative error 5.494893340493445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) 1.9363939199999805 y[1] (numeric) 1.9363939199998714 absolute error 1.0902390101819037e-13 relative error 5.6302542520992566e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) 1.94529254666665 y[1] (numeric) 1.9452925466665383 absolute error 1.1168843627729075e-13 relative error 5.741472482823939e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) 1.9542178933333196 y[1] (numeric) 1.9542178933332048 absolute error 1.1479706074624119e-13 relative error 5.874322466182686e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) 1.9631699999999892 y[1] (numeric) 1.9631699999998715 absolute error 1.176836406102666e-13 relative error 5.994572075279637e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) 1.9721489066666589 y[1] (numeric) 1.9721489066665383 absolute error 1.20570220474292e-13 relative error 6.113646898908902e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) 1.9811546533333284 y[1] (numeric) 1.981154653333205 absolute error 1.234568003383174e-13 relative error 6.231557951853941e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) 1.990187279999998 y[1] (numeric) 1.9901872799998717 absolute error 1.2634338020234281e-13 relative error 6.348316134466649e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) 1.9992468266666676 y[1] (numeric) 1.9992468266665384 absolute error 1.2922996006636822e-13 relative error 6.463932234011974e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) * ( 0.2 * x + 0.3 ) ; Iterations 4900 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.0204081632654%