##############ECHO OF PROBLEM################# ##############temp/sub_lin_linpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) - ( 0.3 * x + 0.1 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; 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(-0.2) * c(x) * c(x) / c(2.0) + c(0.1) * 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) 0.009000000000000001 y[1] (numeric) 0.009000000000000001 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) 0.009790000000000002 y[1] (numeric) 0.00979 absolute error 1.734723475976807e-18 relative error 1.7719340919068508e-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) 0.010560000000000003 y[1] (numeric) 0.010560000000000002 absolute error 1.734723475976807e-18 relative error 1.6427305643719758e-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) 0.011310000000000004 y[1] (numeric) 0.01131 absolute error 3.469446951953614e-18 relative error 3.067592353628305e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) 0.012040000000000004 y[1] (numeric) 0.012040000000000002 absolute error 1.734723475976807e-18 relative error 1.4408002292166168e-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) 0.012750000000000004 y[1] (numeric) 0.012750000000000001 absolute error 3.469446951953614e-18 relative error 2.7211348642773435e-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) 0.013440000000000006 y[1] (numeric) 0.013440000000000002 absolute error 3.469446951953614e-18 relative error 2.5814337440131047e-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) 0.014110000000000006 y[1] (numeric) 0.014110000000000001 absolute error 5.204170427930421e-18 relative error 3.6882852076048325e-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) 0.014760000000000006 y[1] (numeric) 0.014760000000000002 absolute error 3.469446951953614e-18 relative error 2.3505738156867294e-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) 0.015390000000000006 y[1] (numeric) 0.015390000000000003 absolute error 3.469446951953614e-18 relative error 2.254351495746337e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) 0.016000000000000007 y[1] (numeric) 0.016000000000000004 absolute error 3.469446951953614e-18 relative error 2.168404344971008e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y[1] (closed_form) 0.016590000000000008 y[1] (numeric) 0.016590000000000004 absolute error 3.469446951953614e-18 relative error 2.0912880964156797e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 0.01716000000000001 y[1] (numeric) 0.01716 absolute error 6.938893903907228e-18 relative error 4.0436444661464014e-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) 0.017710000000000007 y[1] (numeric) 0.017710000000000004 absolute error 3.469446951953614e-18 relative error 1.9590327227293126e-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) 0.018240000000000006 y[1] (numeric) 0.018240000000000006 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) 0.018750000000000006 y[1] (numeric) 0.018750000000000003 absolute error 3.469446951953614e-18 relative error 1.8503717077085935e-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) 0.019240000000000007 y[1] (numeric) 0.01924 absolute error 6.938893903907228e-18 relative error 3.6064937130494937e-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) 0.019710000000000005 y[1] (numeric) 0.019710000000000002 absolute error 3.469446951953614e-18 relative error 1.7602470583224828e-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) 0.020160000000000004 y[1] (numeric) 0.020160000000000004 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] 0.29000000000000015 y[1] (closed_form) 0.020590000000000004 y[1] (numeric) 0.02059 absolute error 3.469446951953614e-18 relative error 1.685015518190196e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 0.021000000000000005 y[1] (numeric) 0.021 absolute error 3.469446951953614e-18 relative error 1.6521175961683872e-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) 0.021390000000000006 y[1] (numeric) 0.021390000000000003 absolute error 3.469446951953614e-18 relative error 1.6219948349479258e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 0.02176000000000001 y[1] (numeric) 0.021760000000000005 absolute error 3.469446951953614e-18 relative error 1.594414959537506e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 0.022110000000000008 y[1] (numeric) 0.02211 absolute error 6.938893903907228e-18 relative error 3.1383509289494465e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 0.02244000000000001 y[1] (numeric) 0.02244 absolute error 6.938893903907228e-18 relative error 3.092198709406072e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 0.022750000000000006 y[1] (numeric) 0.022750000000000006 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] 0.3600000000000002 y[1] (closed_form) 0.02304000000000001 y[1] (numeric) 0.02304 absolute error 6.938893903907228e-18 relative error 3.0116727013486225e-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) 0.023310000000000008 y[1] (numeric) 0.02331 absolute error 6.938893903907228e-18 relative error 2.976788461564661e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 0.023560000000000008 y[1] (numeric) 0.02356 absolute error 6.938893903907228e-18 relative error 2.945201147668602e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 0.023790000000000006 y[1] (numeric) 0.023790000000000006 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] 0.40000000000000024 y[1] (closed_form) 0.024000000000000007 y[1] (numeric) 0.024 absolute error 6.938893903907228e-18 relative error 2.8912057932946774e-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) 0.024190000000000007 y[1] (numeric) 0.02419 absolute error 6.938893903907228e-18 relative error 2.868496859821094e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 0.024360000000000007 y[1] (numeric) 0.024360000000000003 absolute error 3.469446951953614e-18 relative error 1.4242393070417132e-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) 0.024510000000000007 y[1] (numeric) 0.02451 absolute error 6.938893903907228e-18 relative error 2.8310460644256328e-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) 0.024640000000000006 y[1] (numeric) 0.02464 absolute error 6.938893903907228e-18 relative error 2.8161095389233874e-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) 0.024750000000000005 y[1] (numeric) 0.024749999999999998 absolute error 6.938893903907228e-18 relative error 2.8035934965281726e-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) 0.024840000000000004 y[1] (numeric) 0.02484 absolute error 3.469446951953614e-18 relative error 1.3967177745384917e-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) 0.024910000000000005 y[1] (numeric) 0.024909999999999998 absolute error 6.938893903907228e-18 relative error 2.7855856699748002e-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) 0.024960000000000003 y[1] (numeric) 0.024959999999999996 absolute error 6.938893903907228e-18 relative error 2.780005570475652e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 0.024990000000000002 y[1] (numeric) 0.02499 absolute error 3.469446951953614e-18 relative error 1.3883341144272164e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 0.025 y[1] (numeric) 0.025 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 0.024990000000000002 y[1] (numeric) 0.02499 absolute error 3.469446951953614e-18 relative error 1.3883341144272164e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 0.02496 y[1] (numeric) 0.024959999999999996 absolute error 3.469446951953614e-18 relative error 1.3900027852378262e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 0.024909999999999998 y[1] (numeric) 0.024909999999999998 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] 0.5400000000000004 y[1] (closed_form) 0.024839999999999997 y[1] (numeric) 0.024839999999999997 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] 0.5500000000000004 y[1] (closed_form) 0.024749999999999998 y[1] (numeric) 0.024749999999999994 absolute error 3.469446951953614e-18 relative error 1.4017967482640866e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 0.024639999999999995 y[1] (numeric) 0.024639999999999995 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] 0.5700000000000004 y[1] (closed_form) 0.024509999999999997 y[1] (numeric) 0.024509999999999997 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] 0.5800000000000004 y[1] (closed_form) 0.024359999999999993 y[1] (numeric) 0.024359999999999996 absolute error 3.469446951953614e-18 relative error 1.424239307041714e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 0.024189999999999996 y[1] (numeric) 0.024189999999999993 absolute error 3.469446951953614e-18 relative error 1.4342484299105475e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 0.023999999999999994 y[1] (numeric) 0.023999999999999994 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] 0.6100000000000004 y[1] (closed_form) 0.02378999999999999 y[1] (numeric) 0.02379 absolute error 6.938893903907228e-18 relative error 2.9167271559088824e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 0.02355999999999999 y[1] (numeric) 0.023559999999999994 absolute error 3.469446951953614e-18 relative error 1.472600573834302e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 0.02330999999999999 y[1] (numeric) 0.023309999999999994 absolute error 3.469446951953614e-18 relative error 1.488394230782332e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 0.023039999999999984 y[1] (numeric) 0.023039999999999995 absolute error 1.0408340855860843e-17 relative error 4.5175090520229385e-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) 0.022749999999999986 y[1] (numeric) 0.022749999999999996 absolute error 1.0408340855860843e-17 relative error 4.5750948816970765e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 0.02243999999999998 y[1] (numeric) 0.02243999999999999 absolute error 1.0408340855860843e-17 relative error 4.638298064109114e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 0.022109999999999984 y[1] (numeric) 0.02210999999999999 absolute error 6.938893903907228e-18 relative error 3.1383509289494497e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 0.02175999999999998 y[1] (numeric) 0.021759999999999995 absolute error 1.3877787807814457e-17 relative error 6.377659838150032e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 0.02138999999999998 y[1] (numeric) 0.02138999999999999 absolute error 1.0408340855860843e-17 relative error 4.8659845048437833e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 0.020999999999999977 y[1] (numeric) 0.020999999999999987 absolute error 1.0408340855860843e-17 relative error 4.9563527885051684e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 0.020589999999999976 y[1] (numeric) 0.020589999999999987 absolute error 1.0408340855860843e-17 relative error 5.055046554570595e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 0.020159999999999977 y[1] (numeric) 0.02015999999999999 absolute error 1.3877787807814457e-17 relative error 6.88382331736829e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 0.019709999999999978 y[1] (numeric) 0.019709999999999984 absolute error 6.938893903907228e-18 relative error 3.52049411664497e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 0.019239999999999972 y[1] (numeric) 0.019239999999999983 absolute error 1.0408340855860843e-17 relative error 5.40974056957425e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 0.018749999999999975 y[1] (numeric) 0.018749999999999985 absolute error 1.0408340855860843e-17 relative error 5.55111512312579e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 0.01823999999999997 y[1] (numeric) 0.018239999999999985 absolute error 1.3877787807814457e-17 relative error 7.608436298143903e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 0.01770999999999997 y[1] (numeric) 0.017709999999999983 absolute error 1.3877787807814457e-17 relative error 7.836130890917268e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 0.017159999999999967 y[1] (numeric) 0.01715999999999998 absolute error 1.3877787807814457e-17 relative error 8.087288932292823e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 0.016589999999999966 y[1] (numeric) 0.016589999999999983 absolute error 1.734723475976807e-17 relative error 1.0456440482078425e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 0.015999999999999973 y[1] (numeric) 0.01599999999999998 absolute error 6.938893903907228e-18 relative error 4.336808689942025e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 0.01538999999999996 y[1] (numeric) 0.015389999999999977 absolute error 1.734723475976807e-17 relative error 1.1271757478731719e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 0.014759999999999968 y[1] (numeric) 0.014759999999999976 absolute error 8.673617379884035e-18 relative error 5.876434539216839e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 0.014109999999999956 y[1] (numeric) 0.014109999999999973 absolute error 1.734723475976807e-17 relative error 1.2294284025349486e-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) 0.013439999999999952 y[1] (numeric) 0.013439999999999973 absolute error 2.0816681711721685e-17 relative error 1.548860246407869e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) 0.012749999999999956 y[1] (numeric) 0.012749999999999971 absolute error 1.5612511283791264e-17 relative error 1.2245106889248094e-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) 0.012039999999999954 y[1] (numeric) 0.01203999999999997 absolute error 1.734723475976807e-17 relative error 1.4408002292166228e-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) 0.011309999999999959 y[1] (numeric) 0.01130999999999997 absolute error 1.0408340855860843e-17 relative error 9.202777060884952e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 0.010559999999999944 y[1] (numeric) 0.010559999999999969 absolute error 2.42861286636753e-17 relative error 2.299822790120779e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) 0.009789999999999952 y[1] (numeric) 0.009789999999999967 absolute error 1.5612511283791264e-17 relative error 1.5947406827161738e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) 0.008999999999999952 y[1] (numeric) 0.008999999999999966 absolute error 1.3877787807814457e-17 relative error 1.5419764230905033e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 0.008189999999999947 y[1] (numeric) 0.008189999999999966 absolute error 1.9081958235744878e-17 relative error 2.329909430493895e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 0.007359999999999936 y[1] (numeric) 0.0073599999999999655 absolute error 2.949029909160572e-17 relative error 4.006834115707334e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 0.0065099999999999325 y[1] (numeric) 0.006509999999999965 absolute error 3.209238430557093e-17 relative error 4.929705730502499e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 0.005639999999999937 y[1] (numeric) 0.005639999999999964 absolute error 2.688821387764051e-17 relative error 4.767413808092342e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) 0.004749999999999935 y[1] (numeric) 0.004749999999999963 absolute error 2.7755575615628914e-17 relative error 5.843279076974588e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) 0.003839999999999927 y[1] (numeric) 0.003839999999999961 absolute error 3.426078865054194e-17 relative error 8.922080377745467e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 0.0029099999999999265 y[1] (numeric) 0.00290999999999996 absolute error 3.3393426912553537e-17 relative error 1.147540443730391e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) 0.001959999999999934 y[1] (numeric) 0.0019599999999999583 absolute error 2.42861286636753e-17 relative error 1.2390881971263324e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 0.0009899999999999215 y[1] (numeric) 0.000989999999999957 absolute error 3.5561831257524545e-17 relative error 3.5921041674270064e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) -6.938893903907228e-17 y[1] (numeric) -4.4289658746032856e-17 absolute error 2.5099280293039428e-17 relative error -1% Desired digits 8 Estimated correct digits -16 Correct digits -16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) -0.0010099999999999554 y[1] (numeric) -0.001010000000000045 absolute error 8.955509944730267e-17 relative error 8.8668415294363e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) -0.0020399999999998336 y[1] (numeric) -0.002040000000000043 absolute error 2.0946785972419946e-16 relative error 1.026803233942238e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) -0.003089999999999718 y[1] (numeric) -0.0030900000000000393 absolute error 3.213575239247035e-16 relative error 1.0399919868114331e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) -0.004159999999999595 y[1] (numeric) -0.0041600000000000335 absolute error 4.388850394221322e-16 relative error 1.055012113995613e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) -0.005249999999999463 y[1] (numeric) -0.005250000000000025 absolute error 5.611830444784971e-16 relative error 1.0689200847210561e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) -0.006359999999999338 y[1] (numeric) -0.006360000000000014 absolute error 6.756747938929664e-16 relative error 1.0623817514041457e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) -0.007489999999999192 y[1] (numeric) -0.007490000000000002 absolute error 8.101158632811689e-16 relative error 1.0815966131925986e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) -0.008639999999999051 y[1] (numeric) -0.00863999999999999 absolute error 9.384854005034526e-16 relative error 1.0862099542865228e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) -0.009809999999998903 y[1] (numeric) -0.009809999999999975 absolute error 1.0720591081536668e-15 relative error 1.0928227402179273e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) -0.01099999999999876 y[1] (numeric) -0.010999999999999956 absolute error 1.19522447494802e-15 relative error 1.0865677044983225e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) -0.01220999999999861 y[1] (numeric) -0.012209999999999934 absolute error 1.3235940121703038e-15 relative error 1.0840245799921821e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) -0.01343999999999844 y[1] (numeric) -0.01343999999999991 absolute error 1.4710455076283324e-15 relative error 1.094527907461684e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) -0.014689999999998274 y[1] (numeric) -0.014689999999999882 absolute error 1.6080886622305002e-15 relative error 1.0946825474681342e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) -0.0159599999999981 y[1] (numeric) -0.015959999999999853 absolute error 1.7520707107365752e-15 relative error 1.0977886658751778e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) -0.017249999999997948 y[1] (numeric) -0.017249999999999818 absolute error 1.870031907102998e-15 relative error 1.084076467885925e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) -0.01855999999999776 y[1] (numeric) -0.01855999999999978 absolute error 2.022687572988957e-15 relative error 1.0898101147571128e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) -0.01988999999999759 y[1] (numeric) -0.01988999999999974 absolute error 2.1510571102112408e-15 relative error 1.0814766768283065e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) -0.021239999999997386 y[1] (numeric) -0.02123999999999971 absolute error 2.3245294578089215e-15 relative error 1.0944112324902108e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) -0.022609999999997202 y[1] (numeric) -0.022609999999999675 absolute error 2.473715676742927e-15 relative error 1.0940803523853309e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) -0.02399999999999701 y[1] (numeric) -0.023999999999999636 absolute error 2.626371342628886e-15 relative error 1.0943213927621721e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) -0.02540999999999681 y[1] (numeric) -0.025409999999999596 absolute error 2.785965902418752e-15 relative error 1.0964053138209767e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) -0.026839999999996603 y[1] (numeric) -0.02683999999999955 absolute error 2.949029909160572e-15 relative error 1.0987443774817233e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) -0.028289999999996387 y[1] (numeric) -0.028289999999999503 absolute error 3.1155633628543455e-15 relative error 1.1012949320801496e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) -0.029759999999996192 y[1] (numeric) -0.029759999999999454 absolute error 3.2612801348363973e-15 relative error 1.0958602603618328e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) -0.03124999999999596 y[1] (numeric) -0.0312499999999994 absolute error 3.4382219293860317e-15 relative error 1.1002310174036723e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) -0.03275999999999574 y[1] (numeric) -0.03275999999999935 absolute error 3.615163723935666e-15 relative error 1.1035298302613359e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) -0.03428999999999552 y[1] (numeric) -0.03428999999999929 absolute error 3.774758283725532e-15 relative error 1.100833561891521e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) -0.03583999999999529 y[1] (numeric) -0.03583999999999924 absolute error 3.948230631323213e-15 relative error 1.1016268502577376e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) -0.03740999999999506 y[1] (numeric) -0.03740999999999918 absolute error 4.121702978920894e-15 relative error 1.1017650304521353e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) -0.03899999999999482 y[1] (numeric) -0.03899999999999911 absolute error 4.295175326518574e-15 relative error 1.1013270067997809e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) -0.04060999999999457 y[1] (numeric) -0.04060999999999905 absolute error 4.4825254619240695e-15 relative error 1.1037984392821151e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) -0.04223999999999434 y[1] (numeric) -0.04223999999999898 absolute error 4.642120021713936e-15 relative error 1.0989867475649995e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) -0.04388999999999407 y[1] (numeric) -0.0438899999999989 absolute error 4.829470157119431e-15 relative error 1.100357748261582e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) -0.04555999999999383 y[1] (numeric) -0.04555999999999883 absolute error 5.002942504717112e-15 relative error 1.0980997595956518e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) -0.04724999999999355 y[1] (numeric) -0.04724999999999876 absolute error 5.2111093218343285e-15 relative error 1.1028802797534477e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) -0.04895999999999329 y[1] (numeric) -0.048959999999998685 absolute error 5.398459457239824e-15 relative error 1.1026265231292e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) -0.05068999999999302 y[1] (numeric) -0.05068999999999861 absolute error 5.592748486549226e-15 relative error 1.1033238284770165e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) -0.05243999999999274 y[1] (numeric) -0.052439999999998536 absolute error 5.793976409762536e-15 relative error 1.1048772711219179e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) -0.05420999999999246 y[1] (numeric) -0.054209999999998454 absolute error 5.995204332975845e-15 relative error 1.105922216007504e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) -0.055999999999992195 y[1] (numeric) -0.05599999999999837 absolute error 6.175615574477433e-15 relative error 1.1027884954425525e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) -0.057809999999991896 y[1] (numeric) -0.057809999999998286 absolute error 6.390721285498557e-15 relative error 1.1054698642967399e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) -0.059639999999991616 y[1] (numeric) -0.059639999999998194 absolute error 6.5780714209040525e-15 relative error 1.1029630149069378e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) -0.0614899999999913 y[1] (numeric) -0.0614899999999981 absolute error 6.800116025829084e-15 relative error 1.1058897423694985e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) -0.063359999999991 y[1] (numeric) -0.063359999999998 absolute error 6.994405055138486e-15 relative error 1.1039149392581248e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) -0.0652499999999907 y[1] (numeric) -0.0652499999999979 absolute error 7.202571872255703e-15 relative error 1.103842432529767e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) -0.0671599999999904 y[1] (numeric) -0.0671599999999978 absolute error 7.41073868937292e-15 relative error 1.1034453081259648e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) -0.06908999999999008 y[1] (numeric) -0.0690899999999977 absolute error 7.618905506490137e-15 relative error 1.1027508331873254e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) -0.07103999999998978 y[1] (numeric) -0.07103999999999759 absolute error 7.813194535799539e-15 relative error 1.0998303119088771e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) -0.07300999999998944 y[1] (numeric) -0.0730099999999975 absolute error 8.049116928532385e-15 relative error 1.1024677343560538e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) -0.07499999999998913 y[1] (numeric) -0.07499999999999739 absolute error 8.257283745649602e-15 relative error 1.1009711660867731e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) -0.07700999999998881 y[1] (numeric) -0.07700999999999729 absolute error 8.479328350574633e-15 relative error 1.1010684781945027e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) -0.07903999999998845 y[1] (numeric) -0.07903999999999718 absolute error 8.729128531115293e-15 relative error 1.1043937918922784e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) -0.08108999999998812 y[1] (numeric) -0.08108999999999707 absolute error 8.951173136040325e-15 relative error 1.1038565958862543e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) -0.08315999999998777 y[1] (numeric) -0.08315999999999694 absolute error 9.173217740965356e-15 relative error 1.1030805364317827e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) -0.08524999999998742 y[1] (numeric) -0.08524999999999683 absolute error 9.409140133698202e-15 relative error 1.1037114526333831e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) -0.08735999999998709 y[1] (numeric) -0.0873599999999967 absolute error 9.617306950815419e-15 relative error 1.100882205908521e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y[1] (closed_form) -0.08948999999998672 y[1] (numeric) -0.08948999999999659 absolute error 9.867107131356079e-15 relative error 1.1025932653209904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) -0.09163999999998637 y[1] (numeric) -0.09163999999999646 absolute error 1.008915173628111e-14 relative error 1.100955012689067e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) -0.09380999999998602 y[1] (numeric) -0.09380999999999633 absolute error 1.0311196341206141e-14 relative error 1.0991574822734974e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) -0.0959999999999856 y[1] (numeric) -0.09599999999999619 absolute error 1.058875209736243e-14 relative error 1.1029950101420854e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) -0.09820999999998525 y[1] (numeric) -0.09820999999999605 absolute error 1.0796918914479647e-14 relative error 1.0993706256472119e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) -0.10043999999998487 y[1] (numeric) -0.10043999999999592 absolute error 1.1046719095020308e-14 relative error 1.0998326458604112e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) -0.10268999999998446 y[1] (numeric) -0.10268999999999578 absolute error 1.1324274851176597e-14 relative error 1.1027631562156305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) -0.10495999999998412 y[1] (numeric) -0.10495999999999565 absolute error 1.1532441668293814e-14 relative error 1.0987463479702322e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y[1] (closed_form) -0.10724999999998369 y[1] (numeric) -0.10724999999999552 absolute error 1.1823875212257917e-14 relative error 1.1024592272503231e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y[1] (closed_form) -0.10955999999998328 y[1] (numeric) -0.10955999999999537 absolute error 1.2087553180606392e-14 relative error 1.1032815973538003e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) -0.11188999999998289 y[1] (numeric) -0.11188999999999523 absolute error 1.2337353361147052e-14 relative error 1.1026323497317846e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) -0.11423999999998252 y[1] (numeric) -0.11423999999999508 absolute error 1.2559397966072083e-14 relative error 1.0993870768622203e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) -0.11660999999998206 y[1] (numeric) -0.11660999999999493 absolute error 1.2864709297844001e-14 relative error 1.1032252206368219e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) -0.11899999999998168 y[1] (numeric) -0.11899999999999478 absolute error 1.3100631690576847e-14 relative error 1.1008934193763751e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) -0.12140999999998126 y[1] (numeric) -0.12140999999999462 absolute error 1.3364309658925322e-14 relative error 1.100758558514734e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) -0.12383999999998085 y[1] (numeric) -0.12383999999999445 absolute error 1.3600232051658168e-14 relative error 1.098209952491947e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) -0.12628999999998042 y[1] (numeric) -0.1262899999999943 absolute error 1.3877787807814457e-14 relative error 1.0988825566407957e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) -0.12875999999997995 y[1] (numeric) -0.12875999999999413 absolute error 1.4183099139586375e-14 relative error 1.1015143786570817e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) -0.13124999999997955 y[1] (numeric) -0.13124999999999398 absolute error 1.4432899320127035e-14 relative error 1.0996494720098502e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) -0.13375999999997912 y[1] (numeric) -0.1337599999999938 absolute error 1.4682699500667695e-14 relative error 1.0976898550142036e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) -0.13628999999997865 y[1] (numeric) -0.13628999999999364 absolute error 1.4988010832439613e-14 relative error 1.0997146402848309e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) -0.1388399999999782 y[1] (numeric) -0.13883999999999347 absolute error 1.5265566588595902e-14 relative error 1.099507821132116e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) -0.14140999999997772 y[1] (numeric) -0.1414099999999933 absolute error 1.557087792036782e-14 relative error 1.1011157570447828e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) -0.14399999999997726 y[1] (numeric) -0.14399999999999313 absolute error 1.587618925213974e-14 relative error 1.1025131425098781e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) -0.14660999999997681 y[1] (numeric) -0.14660999999999294 absolute error 1.61259894326804e-14 relative error 1.0999242502341551e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) -0.14923999999997634 y[1] (numeric) -0.14923999999999277 absolute error 1.6431300764452317e-14 relative error 1.1009984430752426e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) -0.15188999999997588 y[1] (numeric) -0.1518899999999926 absolute error 1.6708856520608606e-14 relative error 1.1000629745612785e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) -0.15455999999997538 y[1] (numeric) -0.1545599999999924 absolute error 1.7014167852380524e-14 relative error 1.1008131374471553e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) -0.1572499999999749 y[1] (numeric) -0.15724999999999223 absolute error 1.7319479184152442e-14 relative error 1.1013977223628112e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) -0.15995999999997446 y[1] (numeric) -0.15995999999999203 absolute error 1.7569279364693102e-14 relative error 1.0983545489307269e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) -0.16268999999997397 y[1] (numeric) -0.16268999999999184 absolute error 1.787459069646502e-14 relative error 1.0986901897146648e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) -0.16543999999997344 y[1] (numeric) -0.16543999999999165 absolute error 1.8207657603852567e-14 relative error 1.1005595747011298e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) -0.16820999999997294 y[1] (numeric) -0.16820999999999145 absolute error 1.8512968935624485e-14 relative error 1.1005867032654101e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) -0.17099999999997245 y[1] (numeric) -0.17099999999999127 absolute error 1.8818280267396403e-14 relative error 1.1004842261637096e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y[1] (closed_form) -0.17380999999997193 y[1] (numeric) -0.17380999999999105 absolute error 1.912359159916832e-14 relative error 1.1002584200662453e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y[1] (closed_form) -0.17663999999997143 y[1] (numeric) -0.17663999999999086 absolute error 1.942890293094024e-14 relative error 1.0999152474492404e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y[1] (closed_form) -0.1794899999999709 y[1] (numeric) -0.17948999999999066 absolute error 1.9761969838327786e-14 relative error 1.1010067323155045e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y[1] (closed_form) -0.18235999999997038 y[1] (numeric) -0.18235999999999045 absolute error 2.0067281170099704e-14 relative error 1.1004212091523889e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y[1] (closed_form) -0.18524999999996988 y[1] (numeric) -0.18524999999999026 absolute error 2.0372592501871623e-14 relative error 1.0997350878205093e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y[1] (closed_form) -0.18815999999996935 y[1] (numeric) -0.18815999999999003 absolute error 2.067790383364354e-14 relative error 1.0989532224514726e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y[1] (closed_form) -0.19108999999996878 y[1] (numeric) -0.19108999999998982 absolute error 2.1038726316646716e-14 relative error 1.1009852067952354e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y[1] (closed_form) -0.1940399999999683 y[1] (numeric) -0.1940399999999896 absolute error 2.1316282072803006e-14 relative error 1.0985509210887698e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y[1] (closed_form) -0.1970099999999677 y[1] (numeric) -0.1970099999999894 absolute error 2.167710455580618e-14 relative error 1.100304784316011e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y[1] (closed_form) -0.1999999999999672 y[1] (numeric) -0.1999999999999892 absolute error 2.19824158875781e-14 relative error 1.0991207943790853e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y[1] (closed_form) -0.20300999999996666 y[1] (numeric) -0.20300999999998895 absolute error 2.2287727219350018e-14 relative error 1.0978635150659414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y[1] (closed_form) -0.20603999999996614 y[1] (numeric) -0.20603999999998873 absolute error 2.2593038551121936e-14 relative error 1.0965365245159021e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y[1] (closed_form) -0.20908999999996558 y[1] (numeric) -0.2090899999999885 absolute error 2.2926105458509483e-14 relative error 1.0964706804970709e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y[1] (closed_form) -0.212159999999965 y[1] (numeric) -0.21215999999998827 absolute error 2.328692794151266e-14 relative error 1.0976116111197446e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y[1] (closed_form) -0.21524999999996441 y[1] (numeric) -0.21524999999998806 absolute error 2.3647750424515834e-14 relative error 1.0986179059010333e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y[1] (closed_form) -0.21835999999996386 y[1] (numeric) -0.2183599999999878 absolute error 2.3953061756287752e-14 relative error 1.0969528190278309e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y[1] (closed_form) -0.22148999999996327 y[1] (numeric) -0.22148999999998759 absolute error 2.4313884239290928e-14 relative error 1.0977418501645655e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y[1] (closed_form) -0.2246399999999627 y[1] (numeric) -0.22463999999998735 absolute error 2.4646951146678475e-14 relative error 1.097175531814573e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y[1] (closed_form) -0.2278099999999621 y[1] (numeric) -0.2278099999999871 absolute error 2.500777362968165e-14 relative error 1.097746965878838e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y[1] (closed_form) -0.23099999999996151 y[1] (numeric) -0.23099999999998688 absolute error 2.5368596112684827e-14 relative error 1.098207623925933e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y[1] (closed_form) -0.23420999999996095 y[1] (numeric) -0.23420999999998662 absolute error 2.5673907444456745e-14 relative error 1.0961917699697291e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y[1] (closed_form) -0.23743999999996035 y[1] (numeric) -0.23743999999998638 absolute error 2.603472992745992e-14 relative error 1.096476159344014e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y[1] (closed_form) -0.24068999999995971 y[1] (numeric) -0.24068999999998614 absolute error 2.6423307986078726e-14 relative error 1.0978149481109788e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y[1] (closed_form) -0.2439599999999591 y[1] (numeric) -0.24395999999998588 absolute error 2.67841304690819e-14 relative error 1.0978902471342184e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y[1] (closed_form) -0.2472499999999585 y[1] (numeric) -0.24724999999998565 absolute error 2.7144952952085077e-14 relative error 1.0978747402260721e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y[1] (closed_form) -0.25055999999995787 y[1] (numeric) -0.2505599999999854 absolute error 2.7533531010703882e-14 relative error 1.0988797497888135e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y[1] (closed_form) -0.25388999999995726 y[1] (numeric) -0.2538899999999852 absolute error 2.7922109069322687e-14 relative error 1.099771911825097e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y[1] (closed_form) -0.2572399999999566 y[1] (numeric) -0.2572399999999849 absolute error 2.8310687127941492e-14 relative error 1.1005554007131964e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y[1] (closed_form) -0.260609999999956 y[1] (numeric) -0.26060999999998463 absolute error 2.864375403532904e-14 relative error 1.0991041800135788e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y[1] (closed_form) -0.2639999999999554 y[1] (numeric) -0.26399999999998436 absolute error 2.8976820942716586e-14 relative error 1.0976068538909653e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y[1] (closed_form) -0.26740999999995474 y[1] (numeric) -0.2674099999999841 absolute error 2.936539900133539e-14 relative error 1.0981413934161161e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y[1] (closed_form) -0.27083999999995406 y[1] (numeric) -0.2708399999999838 absolute error 2.9753977059954195e-14 relative error 1.0985813417500827e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y[1] (closed_form) -0.27428999999995346 y[1] (numeric) -0.27428999999998355 absolute error 3.008704396734174e-14 relative error 1.0969063388146432e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y[1] (closed_form) -0.2777599999999528 y[1] (numeric) -0.2777599999999833 absolute error 3.047562202596055e-14 relative error 1.0971926132620148e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y[1] (closed_form) -0.28124999999995215 y[1] (numeric) -0.281249999999983 absolute error 3.086420008457935e-14 relative error 1.0973937807852303e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y[1] (closed_form) -0.2847599999999515 y[1] (numeric) -0.28475999999998275 absolute error 3.1252778143198157e-14 relative error 1.097512928192284e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y[1] (closed_form) -0.28828999999995075 y[1] (numeric) -0.28828999999998245 absolute error 3.169686735304822e-14 relative error 1.099478558155109e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y[1] (closed_form) -0.29183999999995014 y[1] (numeric) -0.29183999999998217 absolute error 3.2029934260435766e-14 relative error 1.0975169360074438e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y[1] (closed_form) -0.29540999999994944 y[1] (numeric) -0.2954099999999819 absolute error 3.247402347028583e-14 relative error 1.0992865329640631e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y[1] (closed_form) -0.29899999999994875 y[1] (numeric) -0.2989999999999816 absolute error 3.2862601528904634e-14 relative error 1.0990836631742564e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y[1] (closed_form) -0.3026099999999481 y[1] (numeric) -0.30260999999998134 absolute error 3.325117958752344e-14 relative error 1.0988129799917103e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y[1] (closed_form) -0.30623999999994744 y[1] (numeric) -0.306239999999981 absolute error 3.3584246494910985e-14 relative error 1.0966642664223076e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y[1] (closed_form) -0.3098899999999467 y[1] (numeric) -0.30988999999998074 absolute error 3.402833570476105e-14 relative error 1.098077889082155e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y[1] (closed_form) -0.313559999999946 y[1] (numeric) -0.31355999999998047 absolute error 3.447242491461111e-14 relative error 1.0993884715721727e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y[1] (closed_form) -0.3172499999999453 y[1] (numeric) -0.31724999999998016 absolute error 3.4861002973229915e-14 relative error 1.0988495815046785e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y[1] (closed_form) -0.3209599999999446 y[1] (numeric) -0.3209599999999799 absolute error 3.524958103184872e-14 relative error 1.098254643315516e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y[1] (closed_form) -0.32468999999994386 y[1] (numeric) -0.3246899999999796 absolute error 3.574918139293004e-14 relative error 1.1010250205715059e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y[1] (closed_form) -0.3284399999999432 y[1] (numeric) -0.3284399999999793 absolute error 3.608224830031759e-14 relative error 1.0985948209817265e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y[1] (closed_form) -0.3322099999999425 y[1] (numeric) -0.332209999999979 absolute error 3.652633751016765e-14 relative error 1.0994954248870886e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y[1] (closed_form) -0.3359999999999418 y[1] (numeric) -0.3359999999999787 absolute error 3.6914915568786455e-14 relative error 1.0986582014521681e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y[1] (closed_form) -0.339809999999941 y[1] (numeric) -0.3398099999999784 absolute error 3.7414515929867775e-14 relative error 1.101042227417506e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y[1] (closed_form) -0.3436399999999403 y[1] (numeric) -0.34363999999997813 absolute error 3.780309398848658e-14 relative error 1.1000783956609575e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y[1] (closed_form) -0.34748999999993957 y[1] (numeric) -0.3474899999999778 absolute error 3.824718319833664e-14 relative error 1.1006700393779186e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y[1] (closed_form) -0.35135999999993883 y[1] (numeric) -0.35135999999997747 absolute error 3.863576125695545e-14 relative error 1.0996061377778396e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y[1] (closed_form) -0.3552499999999381 y[1] (numeric) -0.35524999999997714 absolute error 3.902433931557425e-14 relative error 1.0985035697559762e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y[1] (closed_form) -0.3591599999999373 y[1] (numeric) -0.35915999999997683 absolute error 3.952393967665557e-14 relative error 1.1004549414373113e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y[1] (closed_form) -0.3630899999999365 y[1] (numeric) -0.3630899999999765 absolute error 3.9968028886505635e-14 relative error 1.1007747083784358e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y[1] (closed_form) -0.36703999999993575 y[1] (numeric) -0.36703999999997616 absolute error 4.04121180963557e-14 relative error 1.1010276290421419e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y[1] (closed_form) -0.371009999999935 y[1] (numeric) -0.37100999999997586 absolute error 4.085620730620576e-14 relative error 1.101215797585319e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) -0.3749999999999343 y[1] (numeric) -0.3749999999999755 absolute error 4.1244785364824565e-14 relative error 1.0998609430621812e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) -0.37900999999993346 y[1] (numeric) -0.3790099999999752 absolute error 4.1744385725905886e-14 relative error 1.1014059187333637e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) -0.38303999999993277 y[1] (numeric) -0.38303999999997485 absolute error 4.207745263329343e-14 relative error 1.0985132788560156e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) -0.387089999999932 y[1] (numeric) -0.3870899999999745 absolute error 4.2521541843143495e-14 relative error 1.0984923878981881e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) -0.3911599999999311 y[1] (numeric) -0.3911599999999742 absolute error 4.3076653355456074e-14 relative error 1.1012540483552424e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) -0.3952499999999304 y[1] (numeric) -0.39524999999997384 absolute error 4.346523141407488e-14 relative error 1.0996895993442767e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) -0.39935999999992955 y[1] (numeric) -0.3993599999999735 absolute error 4.39648317751562e-14 relative error 1.1008822059085525e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) -0.40348999999992874 y[1] (numeric) -0.40348999999997315 absolute error 4.440892098500626e-14 relative error 1.1006201141295721e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) -0.40763999999992795 y[1] (numeric) -0.4076399999999728 absolute error 4.4853010194856324e-14 relative error 1.1003093463562028e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) -0.4118099999999272 y[1] (numeric) -0.4118099999999725 absolute error 4.529709940470639e-14 relative error 1.0999514194583521e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) -0.4159999999999263 y[1] (numeric) -0.4159999999999721 absolute error 4.579669976578771e-14 relative error 1.1008822059085533e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) -0.4202099999999256 y[1] (numeric) -0.4202099999999718 absolute error 4.618527782440651e-14 relative error 1.0990999220488492e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) -0.42443999999992477 y[1] (numeric) -0.42443999999997145 absolute error 4.668487818548783e-14 relative error 1.0999170244438815e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) -0.42868999999992385 y[1] (numeric) -0.4286899999999711 absolute error 4.723998969780041e-14 relative error 1.101961550253302e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) -0.4329599999999231 y[1] (numeric) -0.43295999999997076 absolute error 4.7684078907650473e-14 relative error 1.1013506769137782e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) -0.4372499999999222 y[1] (numeric) -0.4372499999999704 absolute error 4.8183679268731794e-14 relative error 1.1019709381072697e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) -0.44155999999992146 y[1] (numeric) -0.44155999999997003 absolute error 4.85722573273506e-14 relative error 1.1000148864788305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) -0.4458899999999205 y[1] (numeric) -0.4458899999999697 absolute error 4.9182879990894435e-14 relative error 1.103027203814914e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) -0.4502399999999197 y[1] (numeric) -0.45023999999996933 absolute error 4.96269692007445e-14 relative error 1.1022336798319419e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) -0.4546099999999189 y[1] (numeric) -0.45460999999996893 absolute error 5.00155472593633e-14 relative error 1.1001858133206974e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) -0.45899999999991803 y[1] (numeric) -0.45899999999996854 absolute error 5.051514762044462e-14 relative error 1.1005478784412559e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) -0.46340999999991717 y[1] (numeric) -0.4634099999999682 absolute error 5.101474798152594e-14 relative error 1.1008555702625118e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) -0.4678399999999163 y[1] (numeric) -0.4678399999999678 absolute error 5.1458837191376006e-14 relative error 1.0999238455750943e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) -0.4722899999999154 y[1] (numeric) -0.4722899999999674 absolute error 5.2013948703688584e-14 relative error 1.1013137839822545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) -0.4767599999999146 y[1] (numeric) -0.47675999999996704 absolute error 5.2458037913538647e-14 relative error 1.100302833995051e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) -0.4812499999999137 y[1] (numeric) -0.48124999999996665 absolute error 5.295763827461997e-14 relative error 1.1004184576546382e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) -0.4857599999999128 y[1] (numeric) -0.4857599999999663 absolute error 5.345723863570129e-14 relative error 1.1004866319933893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) -0.49028999999991185 y[1] (numeric) -0.49028999999996586 absolute error 5.4012350148013866e-14 relative error 1.1016408686292516e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) -0.494839999999911 y[1] (numeric) -0.4948399999999655 absolute error 5.445643935786393e-14 relative error 1.1004858006198714e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) -0.4994099999999101 y[1] (numeric) -0.4994099999999651 absolute error 5.5011550870176507e-14 relative error 1.1015308237757836e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) -0.5039999999999092 y[1] (numeric) -0.5039999999999645 absolute error 5.5289106626332796e-14 relative error 1.0970060838560071e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) -0.5086099999999083 y[1] (numeric) -0.5086099999999644 absolute error 5.6066262743570405e-14 relative error 1.1023429099620636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) -0.5132399999999074 y[1] (numeric) -0.5132399999999637 absolute error 5.6288307348495437e-14 relative error 1.0967248723502764e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) -0.5178899999999065 y[1] (numeric) -0.5178899999999635 absolute error 5.706546346573305e-14 relative error 1.1018838646381152e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) -0.5225599999999055 y[1] (numeric) -0.5225599999999629 absolute error 5.739853037312059e-14 relative error 1.0984103332273992e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) -0.5272499999999046 y[1] (numeric) -0.5272499999999627 absolute error 5.806466418789569e-14 relative error 1.1012738584714308e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) -0.5319599999999037 y[1] (numeric) -0.5319599999999621 absolute error 5.839773109528323e-14 relative error 1.0977842524869126e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) -0.5366899999999027 y[1] (numeric) -0.5366899999999618 absolute error 5.906386491005833e-14 relative error 1.1005210626258927e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) -0.5414399999999019 y[1] (numeric) -0.5414399999999613 absolute error 5.939693181744587e-14 relative error 1.0970178010020803e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) -0.5462099999999009 y[1] (numeric) -0.546209999999961 absolute error 6.006306563222097e-14 relative error 1.0996332112599891e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) -0.5509999999999 y[1] (numeric) -0.5509999999999605 absolute error 6.050715484207103e-14 relative error 1.0981334817074776e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) -0.555809999999899 y[1] (numeric) -0.5558099999999602 absolute error 6.117328865684613e-14 relative error 1.100615114101172e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) -0.5606399999998981 y[1] (numeric) -0.5606399999999597 absolute error 6.161737786669619e-14 relative error 1.0990542570403002e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) -0.5654899999998971 y[1] (numeric) -0.5654899999999593 absolute error 6.217248937900877e-14 relative error 1.0994445415307092e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) -0.5703599999998962 y[1] (numeric) -0.5703599999999589 absolute error 6.272760089132134e-14 relative error 1.0997896221918221e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) -0.5752499999998952 y[1] (numeric) -0.5752499999999584 absolute error 6.317169010117141e-14 relative error 1.0981606275738011e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) -0.5801599999998942 y[1] (numeric) -0.580159999999958 absolute error 6.38378239159465e-14 relative error 1.1003485920428527e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) -0.5850899999998933 y[1] (numeric) -0.5850899999999575 absolute error 6.417089082333405e-14 relative error 1.0967695708924396e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) -0.5900399999998923 y[1] (numeric) -0.5900399999999572 absolute error 6.483702463810914e-14 relative error 1.0988581221293636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) -0.5950099999998913 y[1] (numeric) -0.5950099999999566 absolute error 6.52811138479592e-14 relative error 1.0971431378963569e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) -0.5999999999998903 y[1] (numeric) -0.5999999999999563 absolute error 6.605826996519681e-14 relative error 1.100971166086815e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) -0.6050099999998894 y[1] (numeric) -0.6050099999999557 absolute error 6.639133687258436e-14 relative error 1.0973593307977802e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) -0.6100399999998883 y[1] (numeric) -0.6100399999999555 absolute error 6.716849298982197e-14 relative error 1.1010506358572269e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) -0.6150899999998873 y[1] (numeric) -0.6150899999999548 absolute error 6.750155989720952e-14 relative error 1.097425740903313e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) -0.6201599999998864 y[1] (numeric) -0.6201599999999546 absolute error 6.827871601444713e-14 relative error 1.100985487849259e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) -0.6252499999998853 y[1] (numeric) -0.6252499999999539 absolute error 6.861178292183467e-14 relative error 1.0973495869147902e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) -0.6303599999998843 y[1] (numeric) -0.6303599999999537 absolute error 6.938893903907228e-14 relative error 1.1007827120865064e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) -0.6354899999998833 y[1] (numeric) -0.635489999999953 absolute error 6.972200594645983e-14 relative error 1.0971377353927305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) -0.6406399999998823 y[1] (numeric) -0.6406399999999528 absolute error 7.049916206369744e-14 relative error 1.1004489582871877e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) -0.6458099999998812 y[1] (numeric) -0.6458099999999521 absolute error 7.09432512735475e-14 relative error 1.0985158370660187e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) -0.6509999999998802 y[1] (numeric) -0.6509999999999518 absolute error 7.16093850883226e-14 relative error 1.099990554352316e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) -0.6562099999998792 y[1] (numeric) -0.6562099999999512 absolute error 7.205347429817266e-14 relative error 1.0980246308069966e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) -0.6614399999998781 y[1] (numeric) -0.6614399999999508 absolute error 7.271960811294775e-14 relative error 1.099413523720385e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) -0.6666899999998771 y[1] (numeric) -0.6666899999999503 absolute error 7.316369732279782e-14 relative error 1.097417050245411e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) -0.671959999999876 y[1] (numeric) -0.6719599999999499 absolute error 7.394085344003543e-14 relative error 1.1003758176089212e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) -0.677249999999875 y[1] (numeric) -0.6772499999999494 absolute error 7.438494264988549e-14 relative error 1.0983380236234657e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) -0.6825599999998739 y[1] (numeric) -0.682559999999949 absolute error 7.505107646466058e-14 relative error 1.0995528080267587e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) -0.6878899999998729 y[1] (numeric) -0.6878899999999485 absolute error 7.560618797697316e-14 relative error 1.0991028794863588e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) -0.6932399999998717 y[1] (numeric) -0.693239999999948 absolute error 7.627232179174825e-14 relative error 1.1002296721447459e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) -0.6986099999998707 y[1] (numeric) -0.6986099999999476 absolute error 7.682743330406083e-14 relative error 1.0997184881990675e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) -0.7039999999998696 y[1] (numeric) -0.703999999999947 absolute error 7.738254481637341e-14 relative error 1.0991838752327805e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) -0.7094099999998686 y[1] (numeric) -0.7094099999999466 absolute error 7.793765632868599e-14 relative error 1.0986264124934864e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) -0.7148399999998676 y[1] (numeric) -0.7148399999999461 absolute error 7.849276784099857e-14 relative error 1.0980466655617077e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) -0.7202899999998664 y[1] (numeric) -0.7202899999999457 absolute error 7.926992395823618e-14 relative error 1.1005278979057168e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) -0.7257599999998654 y[1] (numeric) -0.7257599999999451 absolute error 7.971401316808624e-14 relative error 1.0983522537491874e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) -0.7312499999998643 y[1] (numeric) -0.7312499999999448 absolute error 8.049116928532385e-14 relative error 1.100733938944804e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) -0.7367599999998631 y[1] (numeric) -0.7367599999999441 absolute error 8.104628079763643e-14 relative error 1.100036386308316e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) -0.742289999999862 y[1] (numeric) -0.7422899999999438 absolute error 8.182343691487404e-14 relative error 1.1023109150721315e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) -0.7478399999998608 y[1] (numeric) -0.7478399999999431 absolute error 8.22675261247241e-14 relative error 1.1000685457415946e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) -0.7534099999998598 y[1] (numeric) -0.7534099999999428 absolute error 8.304468224196171e-14 relative error 1.10225086263757e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) -0.7589999999998587 y[1] (numeric) -0.758999999999942 absolute error 8.337774914934926e-14 relative error 1.0985210691615912e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) -0.7646099999998575 y[1] (numeric) -0.7646099999999418 absolute error 8.43769498715119e-14 relative error 1.1035292485257533e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) -0.7702399999998564 y[1] (numeric) -0.7702399999999411 absolute error 8.471001677889944e-14 relative error 1.0997872971919822e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) -0.7758899999998552 y[1] (numeric) -0.7758899999999408 absolute error 8.559819519859957e-14 relative error 1.1032259108715868e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) -0.7815599999998541 y[1] (numeric) -0.7815599999999401 absolute error 8.593126210598712e-14 relative error 1.0994838797533542e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) -0.787249999999853 y[1] (numeric) -0.7872499999999397 absolute error 8.670841822322473e-14 relative error 1.1014089326546956e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) -0.7929599999998518 y[1] (numeric) -0.792959999999939 absolute error 8.72635297355373e-14 relative error 1.1004783310072843e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) -0.7986899999998507 y[1] (numeric) -0.7986899999999386 absolute error 8.79296635503124e-14 relative error 1.100923556703212e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) -0.8044399999998495 y[1] (numeric) -0.804439999999938 absolute error 8.848477506262498e-14 relative error 1.0999549383750377e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) -0.8102099999998484 y[1] (numeric) -0.8102099999999376 absolute error 8.915090887740007e-14 relative error 1.1003432304885986e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) -0.8159999999998473 y[1] (numeric) -0.815999999999937 absolute error 8.970602038971265e-14 relative error 1.0993384851682529e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) -0.821809999999846 y[1] (numeric) -0.8218099999999365 absolute error 9.048317650695026e-14 relative error 1.1010230650267971e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) -0.8276399999998449 y[1] (numeric) -0.827639999999936 absolute error 9.103828801926284e-14 relative error 1.0999744818916424e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) -0.8334899999998437 y[1] (numeric) -0.8334899999999354 absolute error 9.170442183403793e-14 relative error 1.1002462157201062e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) -0.8393599999998425 y[1] (numeric) -0.8393599999999349 absolute error 9.248157795127554e-14 relative error 1.1018106408608094e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) -0.8452499999998413 y[1] (numeric) -0.8452499999999343 absolute error 9.303668946358812e-14 relative error 1.1007002598474486e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) -0.85115999999984 y[1] (numeric) -0.8511599999999339 absolute error 9.381384558082573e-14 relative error 1.1021881383152798e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) -0.8570899999998389 y[1] (numeric) -0.8570899999999332 absolute error 9.425793479067579e-14 relative error 1.0997437234210351e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) -0.8630399999998377 y[1] (numeric) -0.8630399999999327 absolute error 9.50350909079134e-14 relative error 1.1011667003607164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) -0.8690099999998366 y[1] (numeric) -0.8690099999999321 absolute error 9.547918011776346e-14 relative error 1.0987120990297168e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) -0.8749999999998352 y[1] (numeric) -0.8749999999999317 absolute error 9.64783808399261e-14 relative error 1.1026100667422202e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) -0.8810099999998342 y[1] (numeric) -0.881009999999931 absolute error 9.681144774731365e-14 relative error 1.098868886247964e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) -0.8870399999998329 y[1] (numeric) -0.8870399999999307 absolute error 9.781064846947629e-14 relative error 1.1026633350186544e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) -0.8930899999998316 y[1] (numeric) -0.8930899999999299 absolute error 9.825473767932635e-14 relative error 1.100166138679695e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) -0.8991599999998305 y[1] (numeric) -0.8991599999999296 absolute error 9.903189379656396e-14 relative error 1.1013823323611217e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) -0.9052499999998291 y[1] (numeric) -0.9052499999999287 absolute error 9.958700530887654e-14 relative error 1.1001050020314315e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) -0.9113599999998281 y[1] (numeric) -0.9113599999999284 absolute error 1.0036416142611415e-13 relative error 1.1012570381203156e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) -0.9174899999998267 y[1] (numeric) -0.9174899999999276 absolute error 1.0091927293842673e-13 relative error 1.0999495682617335e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) -0.9236399999998255 y[1] (numeric) -0.9236399999999273 absolute error 1.0180745135812685e-13 relative error 1.1022416889496568e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) -0.9298099999998242 y[1] (numeric) -0.9298099999999265 absolute error 1.0236256287043943e-13 relative error 1.1008976336074983e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) -0.935999999999823 y[1] (numeric) -0.9359999999999261 absolute error 1.0313971898767704e-13 relative error 1.1019200746548776e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) -0.9422099999998217 y[1] (numeric) -0.9422099999999254 absolute error 1.0369483049998962e-13 relative error 1.1005490336550158e-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) -0.9484399999998205 y[1] (numeric) -0.9484399999999249 absolute error 1.0436096431476471e-13 relative error 1.1003433460712799e-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) -0.9546899999998193 y[1] (numeric) -0.9546899999999242 absolute error 1.0491607582707729e-13 relative error 1.0989543812870895e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) -0.960959999999818 y[1] (numeric) -0.9609599999999238 absolute error 1.0580425424677742e-13 relative error 1.1010266217823578e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) -0.9672499999998168 y[1] (numeric) -0.9672499999999231 absolute error 1.0635936575909e-13 relative error 1.099605745764902e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) -0.9735599999998155 y[1] (numeric) -0.9735599999999226 absolute error 1.071365218763276e-13 relative error 1.1004614186731985e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) -0.9798899999998141 y[1] (numeric) -0.979889999999922 absolute error 1.0791367799356522e-13 relative error 1.101283592990904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) -0.9862399999998128 y[1] (numeric) -0.9862399999999214 absolute error 1.0857981180834031e-13 relative error 1.100947150879714e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) -0.9926099999998115 y[1] (numeric) -0.9926099999999208 absolute error 1.0935696792557792e-13 relative error 1.1017113259547928e-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) -0.9989999999998103 y[1] (numeric) -0.9989999999999202 absolute error 1.099120794378905e-13 relative error 1.1002210153945083e-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) -1.005409999999809 y[1] (numeric) -1.0054099999999195 absolute error 1.1057821325266559e-13 relative error 1.0998320411840603e-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) -1.0118399999998076 y[1] (numeric) -1.011839999999919 absolute error 1.1146639167236572e-13 relative error 1.1016207273124893e-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) -1.0182899999998063 y[1] (numeric) -1.0182899999999182 absolute error 1.1191048088221578e-13 relative error 1.0990040252014364e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) -1.024759999999805 y[1] (numeric) -1.0247599999999177 absolute error 1.127986593019159e-13 relative error 1.1007324573747744e-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) -1.0312499999998037 y[1] (numeric) -1.031249999999917 absolute error 1.1324274851176597e-13 relative error 1.0981115007203639e-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) -1.0377599999998024 y[1] (numeric) -1.0377599999999165 absolute error 1.141309269314661e-13 relative error 1.0997815191517096e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) -1.044289999999801 y[1] (numeric) -1.0442899999999158 absolute error 1.1479706074624119e-13 relative error 1.0992833479805711e-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) -1.0508399999997997 y[1] (numeric) -1.0508399999999154 absolute error 1.156852391659413e-13 relative error 1.1008834757523825e-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) -1.0574099999997983 y[1] (numeric) -1.0574099999999147 absolute error 1.163513729807164e-13 relative error 1.1003430361046198e-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) -1.063999999999797 y[1] (numeric) -1.0639999999999143 absolute error 1.1723955140041653e-13 relative error 1.1018754830868317e-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) -1.0706099999997958 y[1] (numeric) -1.0706099999999135 absolute error 1.176836406102666e-13 relative error 1.0992204501199226e-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) -1.0772399999997944 y[1] (numeric) -1.0772399999999132 absolute error 1.1879386363489175e-13 relative error 1.102761349698437e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) -1.083889999999793 y[1] (numeric) -1.0838899999999123 absolute error 1.192379528447418e-13 relative error 1.1000927478320178e-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) -1.0905599999997917 y[1] (numeric) -1.0905599999999118 absolute error 1.2012613126444194e-13 relative error 1.1015086860371267e-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) -1.0972499999997902 y[1] (numeric) -1.097249999999911 absolute error 1.2079226507921703e-13 relative error 1.1008636598700398e-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) -1.1039599999997889 y[1] (numeric) -1.1039599999999106 absolute error 1.2168044349891716e-13 relative error 1.1022178656739414e-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) -1.1106899999997875 y[1] (numeric) -1.1106899999999098 absolute error 1.2234657731369225e-13 relative error 1.101536678224488e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) -1.1174399999997862 y[1] (numeric) -1.1174399999999092 absolute error 1.2301271112846734e-13 relative error 1.1008439927735796e-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) -1.1242099999997848 y[1] (numeric) -1.1242099999999084 absolute error 1.2367884494324244e-13 relative error 1.100140053399864e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) -1.1309999999997835 y[1] (numeric) -1.1309999999999079 absolute error 1.2434497875801753e-13 relative error 1.0994250995405954e-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) -1.137809999999782 y[1] (numeric) -1.1378099999999072 absolute error 1.2523315717771766e-13 relative error 1.1006508747307692e-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) -1.1446399999997807 y[1] (numeric) -1.1446399999999064 absolute error 1.2567724638756772e-13 relative error 1.0979630834811976e-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) -1.1514899999997792 y[1] (numeric) -1.1514899999999058 absolute error 1.2656542480726785e-13 relative error 1.0991448020155808e-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) -1.1583599999997778 y[1] (numeric) -1.1583599999999052 absolute error 1.2745360322696797e-13 relative error 1.1002935462808834e-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) -1.1652499999997765 y[1] (numeric) -1.1652499999999046 absolute error 1.2811973704174306e-13 relative error 1.0995042869922132e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) -1.172159999999775 y[1] (numeric) -1.172159999999904 absolute error 1.290079154614432e-13 relative error 1.100599879380528e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) -1.1790899999997737 y[1] (numeric) -1.1790899999999034 absolute error 1.2967404927621828e-13 relative error 1.0997807569926229e-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) -1.1860399999997722 y[1] (numeric) -1.1860399999999027 absolute error 1.305622276959184e-13 relative error 1.1008248262785698e-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) -1.1930099999997708 y[1] (numeric) -1.1930099999999022 absolute error 1.3145040611561853e-13 relative error 1.1018382588213325e-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) -1.1999999999997693 y[1] (numeric) -1.1999999999999014 absolute error 1.3211653993039363e-13 relative error 1.1009711660868253e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) -1.207009999999771 y[1] (numeric) -1.2070099999999009 absolute error 1.2989609388114332e-13 relative error 1.076180759738262e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) -1.2140399999997726 y[1] (numeric) -1.2140399999999 absolute error 1.2745360322696797e-13 relative error 1.0498303451862529e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) -1.2210899999997744 y[1] (numeric) -1.2210899999998996 absolute error 1.2523315717771766e-13 relative error 1.0255849870012923e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) -1.228159999999776 y[1] (numeric) -1.2281599999998987 absolute error 1.2256862191861728e-13 relative error 9.979857829487985e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) -1.235249999999778 y[1] (numeric) -1.2352499999998983 absolute error 1.2034817586936697e-13 relative error 9.742819337736378e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) -1.2423599999997796 y[1] (numeric) -1.2423599999998975 absolute error 1.1790568521519162e-13 relative error 9.490460511865525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) -1.2494899999997815 y[1] (numeric) -1.2494899999998972 absolute error 1.156852391659413e-13 relative error 9.258596640706332e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) -1.2566399999997833 y[1] (numeric) -1.2566399999998963 absolute error 1.1302070390684094e-13 relative error 8.993880817645501e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) -1.263809999999785 y[1] (numeric) -1.263809999999896 absolute error 1.1102230246251565e-13 relative error 8.784730494499533e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) -1.2709999999997867 y[1] (numeric) -1.270999999999895 absolute error 1.0835776720341528e-13 relative error 8.525394744565969e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) -1.2782099999997887 y[1] (numeric) -1.2782099999998946 absolute error 1.0591527654923993e-13 relative error 8.286218739429158e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) -1.2854399999997905 y[1] (numeric) -1.2854399999998938 absolute error 1.0325074129013956e-13 relative error 8.032326774501835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) -1.2926899999997923 y[1] (numeric) -1.2926899999998935 absolute error 1.0125233984581428e-13 relative error 7.83268531866345e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) -1.2999599999997942 y[1] (numeric) -1.2999599999998928 absolute error 9.85878045867139e-14 relative error 7.583910626998485e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) -1.307249999999796 y[1] (numeric) -1.3072499999998923 absolute error 9.636735853746359e-14 relative error 7.37176198412535e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) -1.314559999999798 y[1] (numeric) -1.3145599999998916 absolute error 9.370282327836321e-14 relative error 7.128075042476389e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) -1.3218899999997997 y[1] (numeric) -1.3218899999998912 absolute error 9.14823772291129e-14 relative error 6.920574119565679e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) -1.3292399999998017 y[1] (numeric) -1.3292399999998905 absolute error 8.881784197001252e-14 relative error 6.68185143164709e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) -1.3366099999998036 y[1] (numeric) -1.33660999999989 absolute error 8.637535131583718e-14 relative error 6.4622703193788666e-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) -1.3439999999998056 y[1] (numeric) -1.3439999999998893 absolute error 8.37108160567368e-14 relative error 6.228483337555723e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) -1.3514099999998075 y[1] (numeric) -1.351409999999889 absolute error 8.149037000748649e-14 relative error 6.0300256774404585e-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) -1.3588399999998095 y[1] (numeric) -1.3588399999998884 absolute error 7.882583474838611e-14 relative error 5.800965142945245e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) -1.3662899999998115 y[1] (numeric) -1.3662899999998879 absolute error 7.638334409421077e-14 relative error 5.590565992155495e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) -1.3737599999998136 y[1] (numeric) -1.3737599999998873 absolute error 7.37188088351104e-14 relative error 5.366207258554653e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) -1.3812499999998156 y[1] (numeric) -1.3812499999998868 absolute error 7.127631818093505e-14 relative error 5.160276429389652e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) -1.3887599999998175 y[1] (numeric) -1.3887599999998863 absolute error 6.88338275267597e-14 relative error 4.9564955447138995e-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) -1.3962899999998195 y[1] (numeric) -1.396289999999886 absolute error 6.639133687258436e-14 relative error 4.754838670519229e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) -1.4038399999998217 y[1] (numeric) -1.4038399999998854 absolute error 6.372680161348399e-14 relative error 4.539463301622128e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) -1.4114099999998235 y[1] (numeric) -1.411409999999885 absolute error 6.150635556423367e-14 relative error 4.357795081814736e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) -1.4189999999998257 y[1] (numeric) -1.4189999999998846 absolute error 5.88418203051333e-14 relative error 4.146710380911946e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) -1.4266099999998278 y[1] (numeric) -1.426609999999884 absolute error 5.617728504603292e-14 relative error 3.9378165753807764e-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) -1.4342399999998299 y[1] (numeric) -1.4342399999998836 absolute error 5.3734794391857577e-14 relative error 3.746569220762491e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) -1.441889999999832 y[1] (numeric) -1.441889999999883 absolute error 5.10702591327572e-14 relative error 3.541897033252408e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) -1.449559999999834 y[1] (numeric) -1.4495599999998827 absolute error 4.8627768478581856e-14 relative error 3.3546571703542747e-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) -1.4572499999998363 y[1] (numeric) -1.4572499999998823 absolute error 4.596323321948148e-14 relative error 3.154107614993079e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) -1.4649599999998384 y[1] (numeric) -1.464959999999882 absolute error 4.3520742565306136e-14 relative error 2.970780264670089e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) -1.4726899999998406 y[1] (numeric) -1.4726899999998815 absolute error 4.085620730620576e-14 relative error 2.7742571285341913e-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) -1.4804399999998428 y[1] (numeric) -1.4804399999998812 absolute error 3.8413716652030416e-14 relative error 2.5947499832505535e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) -1.488209999999845 y[1] (numeric) -1.4882099999998806 absolute error 3.552713678800501e-14 relative error 2.387239488244852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) -1.4959999999998472 y[1] (numeric) -1.4959999999998803 absolute error 3.3084646133829665e-14 relative error 2.2115405169674494e-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) -1.5038099999998493 y[1] (numeric) -1.5038099999998797 absolute error 3.042011087472929e-14 relative error 2.022869303617634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) -1.5116399999998515 y[1] (numeric) -1.5116399999998795 absolute error 2.7977620220553945e-14 relative error 1.8508123773224243e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) -1.519489999999854 y[1] (numeric) -1.519489999999879 absolute error 2.5091040356528538e-14 relative error 1.6512803872701335e-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) -1.5273599999998562 y[1] (numeric) -1.5273599999998788 absolute error 2.2648549702353193e-14 relative error 1.4828560196911879e-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) -1.5352499999998583 y[1] (numeric) -1.5352499999998783 absolute error 1.9984014443252818e-14 relative error 1.3016781920374311e-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) -1.5431599999998606 y[1] (numeric) -1.5431599999998782 absolute error 1.7541523789077473e-14 relative error 1.1367274805644948e-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) -1.551089999999863 y[1] (numeric) -1.5510899999998775 absolute error 1.4432899320127035e-14 relative error 9.3050044292261e-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) -1.5590399999998654 y[1] (numeric) -1.5590399999998774 absolute error 1.199040866595169e-14 relative error 7.690892258025917e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) -1.5670099999998675 y[1] (numeric) -1.567009999999877 absolute error 9.547918011776346e-15 relative error 6.093080460097354e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) -1.57499999999987 y[1] (numeric) -1.574999999999877 absolute error 6.8833827526759706e-15 relative error 4.3704017477311353e-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) -1.5830099999998724 y[1] (numeric) -1.5830099999998763 absolute error 3.9968028886505635e-15 relative error 2.5248121544721044e-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) -1.5910399999998748 y[1] (numeric) -1.5910399999998763 absolute error 1.5543122344752192e-15 relative error 9.769158754496062e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) -1.5990899999998769 y[1] (numeric) -1.5990899999998758 absolute error 1.1102230246251565e-15 relative error 6.942842645662483e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) -1.6071599999998796 y[1] (numeric) -1.6071599999998756 absolute error 3.9968028886505635e-15 relative error 2.486873048514686e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) -1.615249999999882 y[1] (numeric) -1.615249999999875 absolute error 6.8833827526759706e-15 relative error 4.261496828773548e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) -1.6233599999998845 y[1] (numeric) -1.6233599999998751 absolute error 9.325873406851315e-15 relative error 5.744796845340515e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) -1.6314899999998866 y[1] (numeric) -1.6314899999998747 absolute error 1.199040866595169e-14 relative error 7.349360808802091e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) -1.639639999999889 y[1] (numeric) -1.6396399999998745 absolute error 1.4432899320127035e-14 relative error 8.802480617774641e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) -1.6478099999998914 y[1] (numeric) -1.647809999999874 absolute error 1.7319479184152442e-14 relative error 1.0510604489688485e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) -1.655999999999894 y[1] (numeric) -1.655999999999874 absolute error 1.9984014443252818e-14 relative error 1.2067641572013344e-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) -1.6642099999998967 y[1] (numeric) -1.6642099999998736 absolute error 2.3092638912203256e-14 relative error 1.3876036625308518e-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) -1.6724399999998991 y[1] (numeric) -1.6724399999998734 absolute error 2.5757174171303632e-14 relative error 1.5400955592610309e-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) -1.6806899999999017 y[1] (numeric) -1.680689999999873 absolute error 2.864375403532904e-14 relative error 1.704285384891367e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) -1.6889599999999043 y[1] (numeric) -1.688959999999873 absolute error 3.1308289294429414e-14 relative error 1.8537022365497813e-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) -1.6972499999999067 y[1] (numeric) -1.6972499999998727 absolute error 3.397282455352979e-14 relative error 2.0016393903980943e-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) -1.7055599999999091 y[1] (numeric) -1.7055599999998725 absolute error 3.6637359812630166e-14 relative error 2.148113218686655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) -1.7138899999999118 y[1] (numeric) -1.7138899999998722 absolute error 3.952393967665557e-14 relative error 2.3060954715097008e-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) -1.7222399999999145 y[1] (numeric) -1.722239999999872 absolute error 4.241051954068098e-14 relative error 2.4625208763402943e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) -1.730609999999917 y[1] (numeric) -1.7306099999998719 absolute error 4.5075054799781356e-14 relative error 2.604576120546138e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) -1.7389999999999195 y[1] (numeric) -1.7389999999998715 absolute error 4.796163466380676e-14 relative error 2.758000843232259e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) -1.7474099999999222 y[1] (numeric) -1.7474099999998713 absolute error 5.084821452783217e-14 relative error 2.909918938762765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) -1.755839999999925 y[1] (numeric) -1.7558399999998713 absolute error 5.3734794391857577e-14 relative error 3.060346864854421e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) -1.7642899999999275 y[1] (numeric) -1.7642899999998711 absolute error 5.639932965095795e-14 relative error 3.1967153728106075e-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) -1.7727599999999302 y[1] (numeric) -1.7727599999998709 absolute error 5.928590951498336e-14 relative error 3.3442716168565228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) -1.781249999999933 y[1] (numeric) -1.7812499999998708 absolute error 6.217248937900877e-14 relative error 3.4903853686462377e-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) -1.7897599999999354 y[1] (numeric) -1.7897599999998706 absolute error 6.483702463810914e-14 relative error 3.6226658679438295e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) -1.798289999999938 y[1] (numeric) -1.7982899999998705 absolute error 6.750155989720952e-14 relative error 3.7536526309556214e-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) -1.8068399999999407 y[1] (numeric) -1.80683999999987 absolute error 7.061018436615996e-14 relative error 3.907937856487695e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) -1.8154099999999436 y[1] (numeric) -1.81540999999987 absolute error 7.349676423018536e-14 relative error 4.04849396170494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) -1.8239999999999466 y[1] (numeric) -1.82399999999987 absolute error 7.66053886991358e-14 relative error 4.1998568365755506e-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) -1.8326099999999492 y[1] (numeric) -1.83260999999987 absolute error 7.926992395823618e-14 relative error 4.3255206485961754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) -1.841239999999952 y[1] (numeric) -1.8412399999998696 absolute error 8.237854842718662e-14 relative error 4.47407988242645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) -1.8498899999999545 y[1] (numeric) -1.8498899999998697 absolute error 8.482103908136196e-14 relative error 4.585193664561895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) -1.8585599999999576 y[1] (numeric) -1.8585599999998694 absolute error 8.815170815523743e-14 relative error 4.743011156768651e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) -1.8672499999999603 y[1] (numeric) -1.8672499999998695 absolute error 9.08162434143378e-14 relative error 4.863636010943352e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) -1.8759599999999632 y[1] (numeric) -1.8759599999998693 absolute error 9.392486788328824e-14 relative error 5.006762824542639e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) -1.8846899999999658 y[1] (numeric) -1.8846899999998694 absolute error 9.636735853746359e-14 relative error 5.113167605148079e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) -1.893439999999969 y[1] (numeric) -1.8934399999998692 absolute error 9.969802761133906e-14 relative error 5.265444250218686e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) -1.9022099999999718 y[1] (numeric) -1.9022099999998694 absolute error 1.0236256287043943e-13 relative error 5.3812440724442075e-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) -1.9109999999999747 y[1] (numeric) -1.910999999999869 absolute error 1.056932319443149e-13 relative error 5.530781368096091e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) -1.9198099999999774 y[1] (numeric) -1.9198099999998692 absolute error 1.0813572259849025e-13 relative error 5.632626280647122e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) -1.9286399999999801 y[1] (numeric) -1.928639999999869 absolute error 1.1124434706744069e-13 relative error 5.76802031833011e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) -1.937489999999983 y[1] (numeric) -1.9374899999998692 absolute error 1.1390888232654106e-13 relative error 5.879198464329729e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) -1.946359999999986 y[1] (numeric) -1.9463599999998689 absolute error 1.1723955140041653e-13 relative error 6.023528607267791e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) -1.9552499999999893 y[1] (numeric) -1.9552499999998691 absolute error 1.2012613126444194e-13 relative error 6.143773495176709e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) -1.9641599999999921 y[1] (numeric) -1.964159999999869 absolute error 1.2323475573339238e-13 relative error 6.274170929730413e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) -1.9730899999999951 y[1] (numeric) -1.973089999999869 absolute error 1.2612133559741778e-13 relative error 6.392072110112468e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) -1.9820399999999978 y[1] (numeric) -1.9820399999998688 absolute error 1.290079154614432e-13 relative error 6.508845202995062e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) -1.991010000000001 y[1] (numeric) -1.991009999999869 absolute error 1.3211653993039363e-13 relative error 6.635654262429298e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) - ( 0.3 * x + 0.1 ) ; Iterations 4900 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.0204081632654%