##############ECHO OF PROBLEM################# ##############temp/mult_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) * 2.0 ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #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) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return($glob__m1 *cos(c(x)) * c(2.0)) 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) -1.9900083305560516 y[1] (numeric) -1.9900083305560516 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) -1.9879121959133936 y[1] (numeric) -1.9879121959133939 absolute error 2.220446049250313e-16 relative error 1.1169739054948934e-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) -1.9856172717077325 y[1] (numeric) -1.9856172717077325 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] 0.13000000000000003 y[1] (closed_form) -1.9831237874295762 y[1] (numeric) -1.9831237874295762 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] 0.14000000000000004 y[1] (closed_form) -1.9804319924252742 y[1] (numeric) -1.9804319924252745 absolute error 2.220446049250313e-16 relative error 1.1211927790214665e-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) -1.9775421558720845 y[1] (numeric) -1.9775421558720843 absolute error 2.220446049250313e-16 relative error 1.1228312087592942e-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) -1.9744545667512539 y[1] (numeric) -1.9744545667512534 absolute error 4.440892098500626e-16 relative error 2.249174112832397e-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) -1.9711695338191213 y[1] (numeric) -1.9711695338191206 absolute error 6.661338147750939e-16 relative error 3.379383677285567e-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) -1.967687385576243 y[1] (numeric) -1.9676873855762425 absolute error 4.440892098500626e-16 relative error 2.2569093703876637e-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) -1.9640084702345406 y[1] (numeric) -1.9640084702345402 absolute error 4.440892098500626e-16 relative error 2.2611369379533774e-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) -1.9601331556824833 y[1] (numeric) -1.9601331556824828 absolute error 4.440892098500626e-16 relative error 2.265607357146299e-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) -1.9560618294482965 y[1] (numeric) -1.956061829448296 absolute error 4.440892098500626e-16 relative error 2.2703229681411303e-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) -1.951794898661211 y[1] (numeric) -1.951794898661211 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] 0.23000000000000012 y[1] (closed_form) -1.9473327900107495 y[1] (numeric) -1.9473327900107498 absolute error 2.220446049250313e-16 relative error 1.1402499154949555e-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) -1.942675949704059 y[1] (numeric) -1.942675949704059 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) -1.9378248434212895 y[1] (numeric) -1.9378248434212892 absolute error 2.220446049250313e-16 relative error 1.1458445569982719e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) -1.9327799562690264 y[1] (numeric) -1.9327799562690264 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] 0.27000000000000013 y[1] (closed_form) -1.927541792731781 y[1] (numeric) -1.927541792731781 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] 0.28000000000000014 y[1] (closed_form) -1.9221108766215418 y[1] (numeric) -1.922110876621542 absolute error 2.220446049250313e-16 relative error 1.1552122597387043e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) -1.9164877510253941 y[1] (numeric) -1.9164877510253948 absolute error 6.661338147750939e-16 relative error 3.4758052297422036e-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) -1.910672978251212 y[1] (numeric) -1.9106729782512129 absolute error 8.881784197001252e-16 relative error 4.6485109163633603e-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) -1.9046671397714268 y[1] (numeric) -1.9046671397714274 absolute error 6.661338147750939e-16 relative error 3.49737652771725e-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) -1.8984708361648817 y[1] (numeric) -1.8984708361648825 absolute error 8.881784197001252e-16 relative error 4.678388536609509e-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) -1.8920846870567738 y[1] (numeric) -1.892084687056775 absolute error 1.1102230246251565e-15 relative error 5.86772374524187e-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) -1.8855093310566924 y[1] (numeric) -1.8855093310566935 absolute error 1.1102230246251565e-15 relative error 5.888186318351214e-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) -1.8787454256947578 y[1] (numeric) -1.8787454256947587 absolute error 8.881784197001252e-16 relative error 4.727508088924171e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) -1.8717936473558696 y[1] (numeric) -1.8717936473558703 absolute error 6.661338147750939e-16 relative error 3.558799420631045e-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) -1.8646546912120687 y[1] (numeric) -1.8646546912120696 absolute error 8.881784197001252e-16 relative error 4.7632326987190785e-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) -1.8573292711530203 y[1] (numeric) -1.8573292711530212 absolute error 8.881784197001252e-16 relative error 4.7820191793388836e-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) -1.849818119714626 y[1] (numeric) -1.8498181197146264 absolute error 4.440892098500626e-16 relative error 2.4007182388210842e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) -1.84212198800577 y[1] (numeric) -1.8421219880057704 absolute error 4.440892098500626e-16 relative error 2.4107481086571322e-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) -1.83424164563321 y[1] (numeric) -1.8342416456332107 absolute error 6.661338147750939e-16 relative error 3.6316578917557706e-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) -1.8261778806246163 y[1] (numeric) -1.8261778806246172 absolute error 8.881784197001252e-16 relative error 4.863592036260659e-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) -1.81793149934977 y[1] (numeric) -1.817931499349771 absolute error 1.1102230246251565e-15 relative error 6.107067428130578e-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) -1.8095033264399265 y[1] (numeric) -1.8095033264399274 absolute error 8.881784197001252e-16 relative error 4.908409985891296e-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) -1.8008942047053536 y[1] (numeric) -1.8008942047053542 absolute error 6.661338147750939e-16 relative error 3.6989058715088755e-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) -1.7921049950510501 y[1] (numeric) -1.792104995051051 absolute error 8.881784197001252e-16 relative error 4.9560624079105615e-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) -1.7831365763906577 y[1] (numeric) -1.7831365763906584 absolute error 6.661338147750939e-16 relative error 3.7357419706091785e-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) -1.773989845558568 y[1] (numeric) -1.7739898455585688 absolute error 6.661338147750939e-16 relative error 3.755003538734188e-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) -1.7646657172202427 y[1] (numeric) -1.7646657172202436 absolute error 8.881784197001252e-16 relative error 5.0331256001233595e-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) -1.755165123780745 y[1] (numeric) -1.755165123780746 absolute error 8.881784197001252e-16 relative error 5.060369578145038e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) -1.7454890152915021 y[1] (numeric) -1.7454890152915028 absolute error 6.661338147750939e-16 relative error 3.8163162812218985e-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) -1.7356383593552995 y[1] (numeric) -1.7356383593552998 absolute error 2.220446049250313e-16 relative error 1.2793252910560785e-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) -1.7256141410295216 y[1] (numeric) -1.7256141410295223 absolute error 6.661338147750939e-16 relative error 3.8602709547666935e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) -1.7154173627276479 y[1] (numeric) -1.7154173627276483 absolute error 4.440892098500626e-16 relative error 2.588811443204271e-14% 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) -1.7050490441190111 y[1] (numeric) -1.7050490441190116 absolute error 4.440892098500626e-16 relative error 2.6045538770969542e-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) -1.6945102220268318 y[1] (numeric) -1.6945102220268322 absolute error 4.440892098500626e-16 relative error 2.6207526167583702e-14% 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) -1.683801950324537 y[1] (numeric) -1.6838019503245376 absolute error 6.661338147750939e-16 relative error 3.956129250513713e-14% 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) -1.6729252998303734 y[1] (numeric) -1.672925299830374 absolute error 6.661338147750939e-16 relative error 3.9818503243548093e-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) -1.6618813582003265 y[1] (numeric) -1.6618813582003273 absolute error 8.881784197001252e-16 relative error 5.3444153237385463e-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) -1.6506712298193562 y[1] (numeric) -1.6506712298193569 absolute error 6.661338147750939e-16 relative error 4.035532956178035e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) -1.6392960356909585 y[1] (numeric) -1.6392960356909592 absolute error 6.661338147750939e-16 relative error 4.063535812153175e-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) -1.6277569133250673 y[1] (numeric) -1.627756913325068 absolute error 6.661338147750939e-16 relative error 4.0923421017107686e-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) -1.6160550166243033 y[1] (numeric) -1.6160550166243037 absolute error 4.440892098500626e-16 relative error 2.7479832386999943e-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) -1.6041915157685847 y[1] (numeric) -1.6041915157685849 absolute error 2.220446049250313e-16 relative error 1.3841527195625857e-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) -1.592167597098111 y[1] (numeric) -1.592167597098111 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] 0.6600000000000005 y[1] (closed_form) -1.5799844629947295 y[1] (numeric) -1.5799844629947297 absolute error 2.220446049250313e-16 relative error 1.4053594204601492e-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) -1.567643331761698 y[1] (numeric) -1.5676433317616982 absolute error 2.220446049250313e-16 relative error 1.4164229861871727e-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) -1.5551454375018552 y[1] (numeric) -1.5551454375018556 absolute error 4.440892098500626e-16 relative error 2.8556120806516715e-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) -1.5424920299942126 y[1] (numeric) -1.5424920299942129 absolute error 2.220446049250313e-16 relative error 1.439518652980427e-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) -1.529684374568976 y[1] (numeric) -1.529684374568977 absolute error 8.881784197001252e-16 relative error 5.806285495662398e-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) -1.5167237519810157 y[1] (numeric) -1.5167237519810166 absolute error 8.881784197001252e-16 relative error 5.855901040252465e-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) -1.5036114582817892 y[1] (numeric) -1.5036114582817903 absolute error 1.1102230246251565e-15 relative error 7.383709524891712e-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) -1.49034880468974 y[1] (numeric) -1.4903488046897413 absolute error 1.3322676295501878e-15 relative error 8.939300822451014e-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) -1.476937117459175 y[1] (numeric) -1.4769371174591768 absolute error 1.7763568394002505e-15 relative error 1.2027301761202788e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) -1.463377737747641 y[1] (numeric) -1.4633777377476425 absolute error 1.5543122344752192e-15 relative error 1.0621401394745421e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) -1.4496720214818095 y[1] (numeric) -1.4496720214818113 absolute error 1.7763568394002505e-15 relative error 1.225350847003665e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) -1.435821339221886 y[1] (numeric) -1.4358213392218877 absolute error 1.7763568394002505e-15 relative error 1.2371712210120172e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) -1.421827076024554 y[1] (numeric) -1.4218270760245555 absolute error 1.5543122344752192e-15 relative error 1.093179515768609e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) -1.4076906313044713 y[1] (numeric) -1.4076906313044728 absolute error 1.5543122344752192e-15 relative error 1.1041575470562572e-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) -1.3934134186943299 y[1] (numeric) -1.3934134186943314 absolute error 1.5543122344752192e-15 relative error 1.1154709819944582e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) -1.3789968659034932 y[1] (numeric) -1.3789968659034946 absolute error 1.3322676295501878e-15 relative error 9.661136022070004e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) -1.3644424145752263 y[1] (numeric) -1.3644424145752276 absolute error 1.3322676295501878e-15 relative error 9.764190964152526e-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) -1.3497515201425332 y[1] (numeric) -1.3497515201425347 absolute error 1.5543122344752192e-15 relative error 1.1515543500266512e-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) -1.3349256516826153 y[1] (numeric) -1.3349256516826167 absolute error 1.3322676295501878e-15 relative error 9.980088612957004e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) -1.3199662917699633 y[1] (numeric) -1.3199662917699646 absolute error 1.3322676295501878e-15 relative error 1.00931943327411e-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) -1.3048749363281027 y[1] (numeric) -1.3048749363281038 absolute error 1.1102230246251565e-15 relative error 8.50827151105612e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) -1.2896530944800013 y[1] (numeric) -1.2896530944800024 absolute error 1.1102230246251565e-15 relative error 8.608695077592223e-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) -1.2743022883971593 y[1] (numeric) -1.2743022883971604 absolute error 1.1102230246251565e-15 relative error 8.712399206483537e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) -1.2588240531473927 y[1] (numeric) -1.2588240531473935 absolute error 8.881784197001252e-16 relative error 7.055620024732166e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) -1.243219936541328 y[1] (numeric) -1.2432199365413288 absolute error 8.881784197001252e-16 relative error 7.144177740352701e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) -1.227491498977622 y[1] (numeric) -1.2274914989776233 absolute error 1.3322676295501878e-15 relative error 1.0853579276596489e-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) -1.2116403132869245 y[1] (numeric) -1.2116403132869258 absolute error 1.3322676295501878e-15 relative error 1.099557034328139e-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) -1.1956679645745953 y[1] (numeric) -1.1956679645745965 absolute error 1.1102230246251565e-15 relative error 9.285379030959995e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) -1.1795760500621952 y[1] (numeric) -1.1795760500621961 absolute error 8.881784197001252e-16 relative error 7.529641006642128e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) -1.1633661789277658 y[1] (numeric) -1.1633661789277667 absolute error 8.881784197001252e-16 relative error 7.634555961724179e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) -1.147039972144912 y[1] (numeric) -1.1470399721449132 absolute error 1.1102230246251565e-15 relative error 9.679026464518847e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) -1.1305990623207074 y[1] (numeric) -1.1305990623207083 absolute error 8.881784197001252e-16 relative error 7.855821301293307e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) -1.1140450935324333 y[1] (numeric) -1.1140450935324346 absolute error 1.3322676295501878e-15 relative error 1.1958830367681174e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) -1.097379721163174 y[1] (numeric) -1.0973797211631753 absolute error 1.3322676295501878e-15 relative error 1.2140443311072335e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) -1.0806046117362784 y[1] (numeric) -1.08060461173628 absolute error 1.5543122344752192e-15 relative error 1.4383727568752493e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) -1.0637214427487116 y[1] (numeric) -1.0637214427487116 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) -1.0467319025033017 y[1] (numeric) -1.0467319025032997 absolute error 1.9984014443252818e-15 relative error 1.9091817489712733e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) -1.0296376899399151 y[1] (numeric) -1.0296376899399113 absolute error 3.774758283725532e-15 relative error 3.666103446490784e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) -1.0124405144655633 y[1] (numeric) -1.0124405144655573 absolute error 5.995204332975845e-15 relative error 5.921537361768392e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) -0.9951420957834624 y[1] (numeric) -0.9951420957834546 absolute error 7.771561172376096e-15 relative error 7.809498970353221e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) -0.9777441637210655 y[1] (numeric) -0.9777441637210558 absolute error 9.769962616701378e-15 relative error 9.992350738785477e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) -0.9602484580570806 y[1] (numeric) -0.9602484580570687 absolute error 1.1879386363489175e-14 relative error 1.2371159009747685e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) -0.9426567283474944 y[1] (numeric) -0.9426567283474804 absolute error 1.3988810110276972e-14 relative error 1.4839771137898499e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) -0.9249707337506181 y[1] (numeric) -0.9249707337506022 absolute error 1.587618925213974e-14 relative error 1.7163990894894765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) -0.9071922428511732 y[1] (numeric) -0.9071922428511554 absolute error 1.7763568394002505e-14 relative error 1.9580820420349047e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) -0.8893230334834342 y[1] (numeric) -0.8893230334834143 absolute error 1.9872992140790302e-14 relative error 2.2346201990236075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) -0.871364892553447 y[1] (numeric) -0.8713648925534251 absolute error 2.1871393585115584e-14 relative error 2.5100154679199516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) -0.8533196158603393 y[1] (numeric) -0.8533196158603154 absolute error 2.398081733190338e-14 relative error 2.810297207069978e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) -0.835189007916743 y[1] (numeric) -0.835189007916717 absolute error 2.5979218776228663e-14 relative error 3.110579584976822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) -0.8169748817683435 y[1] (numeric) -0.8169748817683156 absolute error 2.7977620220553945e-14 relative error 3.4245386051522583e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) -0.7986790588125774 y[1] (numeric) -0.7986790588125475 absolute error 2.986499936241671e-14 relative error 3.73929916314796e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) -0.7803033686164936 y[1] (numeric) -0.7803033686164618 absolute error 3.186340080674199e-14 relative error 4.083463187303288e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) -0.761849648733799 y[1] (numeric) -0.761849648733765 absolute error 3.397282455352979e-14 relative error 4.459255787541929e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) -0.7433197445211035 y[1] (numeric) -0.7433197445210676 absolute error 3.5860203695392556e-14 relative error 4.824330842778313e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) -0.724715508953387 y[1] (numeric) -0.7247155089533491 absolute error 3.785860513971784e-14 relative error 5.2239264472747564e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) -0.7060388024387028 y[1] (numeric) -0.7060388024386629 absolute error 3.985700658404312e-14 relative error 5.645158091364737e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) -0.6872914926321383 y[1] (numeric) -0.6872914926320965 absolute error 4.1744385725905886e-14 relative error 6.0737527196846735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) -0.6684754542490516 y[1] (numeric) -0.6684754542490079 absolute error 4.374278717023117e-14 relative error 6.543663928449057e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) -0.6495925688776012 y[1] (numeric) -0.6495925688775553 absolute error 4.5852210917018965e-14 relative error 7.058610752928521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) -0.6306447247905883 y[1] (numeric) -0.6306447247905403 absolute error 4.796163466380676e-14 relative error 7.605174954842109e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) -0.6116338167566319 y[1] (numeric) -0.6116338167565818 absolute error 5.007105841059456e-14 relative error 8.186443757493833e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) -0.592561745850693 y[1] (numeric) -0.5925617458506407 absolute error 5.229150445984487e-14 relative error 8.824650734882351e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) -0.5734304192639689 y[1] (numeric) -0.5734304192639145 absolute error 5.440092820663267e-14 relative error 9.486927511878321e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) -0.5542417501131753 y[1] (numeric) -0.5542417501131188 absolute error 5.651035195342047e-14 relative error 1.0195975301730904e-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) -0.5349976572492372 y[1] (numeric) -0.5349976572491786 absolute error 5.861977570020827e-14 relative error 1.0957015401078533e-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) -0.515700065065404 y[1] (numeric) -0.5157000650653433 absolute error 6.072919944699606e-14 relative error 1.1776069766307678e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) -0.4963509033048129 y[1] (numeric) -0.49635090330474996 absolute error 6.294964549624638e-14 relative error 1.2682488351912702e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) -0.4769521068675157 y[1] (numeric) -0.4769521068674506 absolute error 6.511458039426543e-14 relative error 1.3652226178833608e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) -0.45750561561699055 y[1] (numeric) -0.4575056156169232 absolute error 6.733502644351574e-14 relative error 1.4717857911472397e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) -0.4380133741861571 y[1] (numeric) -0.4380133741860876 absolute error 6.94999613415348e-14 relative error 1.5867086586264166e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) -0.41847733178291496 y[1] (numeric) -0.41847733178284335 absolute error 7.16093850883226e-14 relative error 1.7111891051119095e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) -0.3988994419952245 y[1] (numeric) -0.39889944199515076 absolute error 7.37188088351104e-14 relative error 1.848054950049114e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) -0.3792816625957496 y[1] (numeric) -0.3792816625956737 absolute error 7.588374373312945e-14 relative error 2.0007227139269517e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) -0.35962595534608216 y[1] (numeric) -0.3596259553460041 absolute error 7.80486786311485e-14 relative error 2.1702737933928936e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) -0.3399342858005674 y[1] (numeric) -0.3399342858004872 absolute error 8.021361352916756e-14 relative error 2.359679999334556e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) -0.32020862310975023 y[1] (numeric) -0.3202086231096678 absolute error 8.243405957841787e-14 relative error 2.5743859980361593e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) -0.3004509398234617 y[1] (numeric) -0.3004509398233771 absolute error 8.459899447643693e-14 relative error 2.8157340604807366e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) -0.2806632116935658 y[1] (numeric) -0.28066321169347896 absolute error 8.681944052568724e-14 relative error 3.0933673138636567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) -0.26084741747638573 y[1] (numeric) -0.2608474174762967 absolute error 8.903988657493755e-14 relative error 3.4134854558411815e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) -0.24100553873483022 y[1] (numeric) -0.24100553873473896 absolute error 9.126033262418787e-14 relative error 3.7866487676284634e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) -0.2211395596402385 y[1] (numeric) -0.22113955964014503 absolute error 9.345302309782255e-14 relative error 4.225974911492854e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) -0.20125146677396508 y[1] (numeric) -0.20125146677386946 absolute error 9.561795799584161e-14 relative error 4.75116825375661e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) -0.18134324892872328 y[1] (numeric) -0.1813432489286254 absolute error 9.786615962070755e-14 relative error 5.396735759331946e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) -0.16141689690970748 y[1] (numeric) -0.16141689690960748 absolute error 1.0000333894311098e-13 relative error 6.195345150207559e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) -0.14147440333551434 y[1] (numeric) -0.14147440333541217 absolute error 1.0216827384113003e-13 relative error 7.221679076379092e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) -0.12151776243888261 y[1] (numeric) -0.12151776243877825 absolute error 1.0436096431476471e-13 relative error 8.588124256094091e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) -0.10154896986727145 y[1] (numeric) -0.1015489698671649 absolute error 1.065536547883994e-13 relative error 1.0492834632165079e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) -0.08157002248329744 y[1] (numeric) -0.08157002248318868 absolute error 1.087602230498419e-13 relative error 1.333335700282687e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) -0.06158291816504987 y[1] (numeric) -0.06158291816493891 absolute error 1.1095985241738049e-13 relative error 1.8017959480256245e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) -0.04158965560630474 y[1] (numeric) -0.04158965560619157 absolute error 1.1316642067882299e-13 relative error 2.721023269585999e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) -0.0215922341166569 y[1] (numeric) -0.021592234116541535 absolute error 1.1536605004636158e-13 relative error 5.342941792084624e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y[1] (closed_form) -0.0015926534215908717 y[1] (numeric) -0.0015926534214733001 absolute error 1.175715341056316e-13 relative error 7.38211669354853e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) 0.01840708653749011 y[1] (numeric) 0.018407086537609887 absolute error 1.1977571712229462e-13 relative error 6.507043734397881e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) 0.03840498580325653 y[1] (numeric) 0.03840498580337851 absolute error 1.2197881593678517e-13 relative error 3.176119282055353e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) 0.05839904460244668 y[1] (numeric) 0.05839904460257087 absolute error 1.2419232309213157e-13 relative error 2.126615665334505e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) 0.07838726354584229 y[1] (numeric) 0.07838726354596869 absolute error 1.2639889135357407e-13 relative error 1.6124927141978073e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) 0.09836764382820581 y[1] (numeric) 0.09836764382833442 absolute error 1.2860545961501657e-13 relative error 1.3073959547066066e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) 0.1183381874281593 y[1] (numeric) 0.11833818742829011 absolute error 1.3081202787645907e-13 relative error 1.1054084122749673e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) 0.13829689730798478 y[1] (numeric) 0.1382968973081178 absolute error 1.3303247392570938e-13 relative error 9.619339010147739e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y[1] (closed_form) 0.1582417776133265 y[1] (numeric) 0.15824177761346175 absolute error 1.352529199749597e-13 relative error 8.547232090975274e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y[1] (closed_form) 0.1781708338727746 y[1] (numeric) 0.17817083387291202 absolute error 1.3741785487297875e-13 relative error 7.712702011099298e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) 0.19808207319731064 y[1] (numeric) 0.19808207319745022 absolute error 1.395827897709978e-13 relative error 7.046714905490646e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) 0.2179735044795948 y[1] (numeric) 0.2179735044797365 absolute error 1.4171996909340123e-13 relative error 6.501706224880561e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) 0.23784313859307496 y[1] (numeric) 0.2378431385932189 absolute error 1.4394041514265155e-13 relative error 6.051905301708901e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) 0.2576889885908978 y[1] (numeric) 0.2576889885910439 absolute error 1.461053500406706e-13 relative error 5.669832880310797e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) 0.2775090699046016 y[1] (numeric) 0.27750906990474994 absolute error 1.4832579608992091e-13 relative error 5.344899038467838e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) 0.2973014005425718 y[1] (numeric) 0.2973014005427223 absolute error 1.5049073098793997e-13 relative error 5.061891088077487e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) 0.3170640012882381 y[1] (numeric) 0.31706400128839074 absolute error 1.5265566588595902e-13 relative error 4.81466408251065e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) 0.33679489589799466 y[1] (numeric) 0.3367948958981495 absolute error 1.5482060078397808e-13 relative error 4.5968808515099566e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) 0.3564921112988229 y[1] (numeric) 0.35649211129897984 absolute error 1.5693002453076588e-13 relative error 4.4020616321358705e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) 0.3761536777855971 y[1] (numeric) 0.3761536777857562 absolute error 1.5909495942878493e-13 relative error 4.2295202419758626e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) 0.39577762921805304 y[1] (numeric) 0.3957776292182143 absolute error 1.61259894326804e-13 relative error 4.074507562375591e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) 0.4153620032174008 y[1] (numeric) 0.4153620032175643 absolute error 1.634803403760543e-13 relative error 3.9358520786622977e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) 0.4349048413625607 y[1] (numeric) 0.4349048413627263 absolute error 1.655897641228421e-13 relative error 3.807494154446474e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) 0.4544041893860038 y[1] (numeric) 0.4544041893861716 absolute error 1.678102101720924e-13 relative error 3.69297233810365e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) 0.4738580973691772 y[1] (numeric) 0.47385809736934714 absolute error 1.699196339188802e-13 relative error 3.5858759164876703e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) 0.49326461993749415 y[1] (numeric) 0.4932646199376662 absolute error 1.72029057665668e-13 relative error 3.487561254392567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) 0.5126218164548698 y[1] (numeric) 0.512621816455044 absolute error 1.7419399256368706e-13 relative error 3.398099475522863e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) 0.5319277512177835 y[1] (numeric) 0.5319277512179598 absolute error 1.7630341631047486e-13 relative error 3.314424109418051e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) 0.551180493648847 y[1] (numeric) 0.5511804936490252 absolute error 1.7819079545233762e-13 relative error 3.232893716406837e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) 0.5703781184898612 y[1] (numeric) 0.5703781184900415 absolute error 1.8030021919912542e-13 relative error 3.1610647981463607e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) 0.58951870599434 y[1] (numeric) 0.5895187059945224 absolute error 1.8240964294591322e-13 relative error 3.0942129756212445e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) 0.6086003421194832 y[1] (numeric) 0.6086003421196676 absolute error 1.844080443902385e-13 relative error 3.030035174611102e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) 0.6276211187175799 y[1] (numeric) 0.6276211187177662 absolute error 1.8629542353210127e-13 relative error 2.9682784402277486e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) 0.6465791337268205 y[1] (numeric) 0.6465791337270087 absolute error 1.8818280267396403e-13 relative error 2.9104372977410556e-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) 0.6654724913615027 y[1] (numeric) 0.665472491361693 absolute error 1.9029222642075183e-13 relative error 2.8595055226314372e-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) 0.6842993023016073 y[1] (numeric) 0.6842993023017998 absolute error 1.9251267247000214e-13 relative error 2.81328172953699e-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) 0.7030576838817293 y[1] (numeric) 0.7030576838819238 absolute error 1.9451107391432743e-13 relative error 2.766644592238732e-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) 0.7217457602793426 y[1] (numeric) 0.7217457602795392 absolute error 1.9662049766111522e-13 relative error 2.7242348827240182e-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) 0.7403616627023807 y[1] (numeric) 0.7403616627025793 absolute error 1.986188991054405e-13 relative error 2.682728038354461e-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) 0.7589035295761146 y[1] (numeric) 0.7589035295763153 absolute error 2.007283228522283e-13 relative error 2.6449781168410835e-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) 0.7773695067293085 y[1] (numeric) 0.7773695067295112 absolute error 2.0272672429655358e-13 relative error 2.6078553704724362e-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) 0.7957577475796351 y[1] (numeric) 0.7957577475798399 absolute error 2.0472512574087887e-13 relative error 2.5727066605831705e-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) 0.8140664133183331 y[1] (numeric) 0.8140664133185398 absolute error 2.0672352718520415e-13 relative error 2.539393884861908e-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) 0.8322936730940858 y[1] (numeric) 0.8322936730942944 absolute error 2.0861090632706691e-13 relative error 2.506457913485601e-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) 0.850437704196105 y[1] (numeric) 0.8504377041963154 absolute error 2.1038726316646716e-13 relative error 2.4738703626192158e-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) 0.8684966922364001 y[1] (numeric) 0.8684966922366123 absolute error 2.1216362000586741e-13 relative error 2.4428834548527862e-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) 0.8864688313312163 y[1] (numeric) 0.8864688313314306 absolute error 2.142730437526552e-13 relative error 2.417152596678215e-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) 0.9043523242816212 y[1] (numeric) 0.9043523242818374 absolute error 2.162714451969805e-13 relative error 2.391451200932969e-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) 0.9221453827532221 y[1] (numeric) 0.9221453827534404 absolute error 2.1826984664130578e-13 relative error 2.3669786860464884e-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) 0.9398462274549998 y[1] (numeric) 0.93984622745522 absolute error 2.2015722578316854e-13 relative error 2.342481348032115e-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) 0.9574530883172345 y[1] (numeric) 0.9574530883174567 absolute error 2.2215562722749382e-13 relative error 2.320276888113046e-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) 0.9749642046685125 y[1] (numeric) 0.9749642046687367 absolute error 2.241540286718191e-13 relative error 2.299100085915784e-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) 0.9923778254117911 y[1] (numeric) 0.992377825412017 absolute error 2.2593038551121936e-13 relative error 2.276656931723244e-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) 1.0096922091995073 y[1] (numeric) 1.0096922091997353 absolute error 2.2803980925800715e-13 relative error 2.2585081590240168e-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) 1.0269056246077108 y[1] (numeric) 1.0269056246079409 absolute error 2.3003821070233244e-13 relative error 2.2401105339179493e-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) 1.0440163503092057 y[1] (numeric) 1.0440163503094375 absolute error 2.318145675417327e-13 relative error 2.2204112749103623e-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) 1.0610226752456802 y[1] (numeric) 1.061022675245914 absolute error 2.3381296898605797e-13 relative error 2.203656664848548e-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) 1.0779228987988128 y[1] (numeric) 1.0779228987990481 absolute error 2.353672812205332e-13 relative error 2.1835261268019776e-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) 1.0947153309603317 y[1] (numeric) 1.0947153309605686 absolute error 2.369215934550084e-13 relative error 2.1642301587863076e-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) 1.1113982925010142 y[1] (numeric) 1.1113982925012527 absolute error 2.384759056894836e-13 relative error 2.1457285592263586e-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) 1.127970115138609 y[1] (numeric) 1.1279701151388488 absolute error 2.398081733190338e-13 relative error 2.1260153092758606e-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) 1.1444291417046617 y[1] (numeric) 1.1444291417049033 absolute error 2.4158453015843406e-13 relative error 2.1109610141400858e-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) 1.1607737263102318 y[1] (numeric) 1.1607737263104754 absolute error 2.4358293160275934e-13 relative error 2.0984531789588307e-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) 1.1770022345104791 y[1] (numeric) 1.1770022345107245 absolute error 2.453592884421596e-13 relative error 2.0846119170215992e-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) 1.1931130434681074 y[1] (numeric) 1.1931130434683546 absolute error 2.4713564528155985e-13 relative error 2.0713514669422514e-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) 1.2091045421156463 y[1] (numeric) 1.2091045421158952 absolute error 2.489120021209601e-13 relative error 2.058647482089705e-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) 1.2249751313165576 y[1] (numeric) 1.224975131316808 absolute error 2.504663143554353e-13 relative error 2.0446644829943893e-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) 1.2407232240251465 y[1] (numeric) 1.2407232240253987 absolute error 2.5224267119483557e-13 relative error 2.0330293357168853e-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) 1.2563472454452653 y[1] (numeric) 1.2563472454455198 absolute error 2.544631172440859e-13 relative error 2.025420266304647e-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) 1.2718456331877923 y[1] (numeric) 1.271845633188048 absolute error 2.5579538487363607e-13 relative error 2.0112140828954437e-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) 1.2872168374268682 y[1] (numeric) 1.287216837427126 absolute error 2.5779378631796135e-13 relative error 2.002722298391374e-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) 1.3024593210548787 y[1] (numeric) 1.3024593210551378 absolute error 2.5912605394751154e-13 relative error 1.9895136052129595e-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) 1.317571559836163 y[1] (numeric) 1.3175715598364233 absolute error 2.602362769721367e-13 relative error 1.9751206302942396e-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) 1.3325520425594362 y[1] (numeric) 1.3325520425596982 absolute error 2.6201263381153694e-13 relative error 1.9662469115149047e-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) 1.3473992711889098 y[1] (numeric) 1.3473992711891736 absolute error 2.637889906509372e-13 relative error 1.9577640888745374e-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) 1.3621117610140936 y[1] (numeric) 1.362111761014359 absolute error 2.653433028854124e-13 relative error 1.948028865765494e-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) 1.3766880407982653 y[1] (numeric) 1.376688040798532 absolute error 2.666755705149626e-13 relative error 1.9370806065863125e-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) 1.3911266529255935 y[1] (numeric) 1.391126652925862 absolute error 2.6845192735436285e-13 relative error 1.9297446913967035e-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) 1.4054261535468975 y[1] (numeric) 1.4054261535471677 absolute error 2.702282841937631e-13 relative error 1.9227497902453535e-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) 1.4195851127240313 y[1] (numeric) 1.419585112724303 absolute error 2.717825964282383e-13 relative error 1.914521320294186e-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) 1.4336021145728766 y[1] (numeric) 1.43360211457315 absolute error 2.7333690866271354e-13 relative error 1.9066441510108318e-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) 1.4474757574049288 y[1] (numeric) 1.4474757574052037 absolute error 2.7489122089718876e-13 relative error 1.899107598112874e-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) 1.4612046538674666 y[1] (numeric) 1.4612046538677428 absolute error 2.7622348852673895e-13 relative error 1.8903819379143095e-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) 1.474787431082284 y[1] (numeric) 1.4747874310825617 absolute error 2.7777780076121417e-13 relative error 1.8835107684458963e-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) 1.4882227307829785 y[1] (numeric) 1.4882227307832578 absolute error 2.793321129956894e-13 relative error 1.8769509913931242e-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) 1.5015092094507765 y[1] (numeric) 1.5015092094510571 absolute error 2.8066438062523957e-13 relative error 1.8692151793587816e-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) 1.5146455384488828 y[1] (numeric) 1.5146455384491648 absolute error 2.8199664825478976e-13 relative error 1.8617996164540033e-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) 1.5276304041553446 y[1] (numeric) 1.5276304041556283 absolute error 2.8377300509419e-13 relative error 1.8576024954877315e-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) 1.540462508094412 y[1] (numeric) 1.5404625080946974 absolute error 2.8532731732866523e-13 relative error 1.8522185111900046e-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) 1.5531405670663847 y[1] (numeric) 1.5531405670666711 absolute error 2.864375403532904e-13 relative error 1.8442473683777485e-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) 1.5656633132759301 y[1] (numeric) 1.5656633132762174 absolute error 2.873257187729905e-13 relative error 1.8351692623607684e-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) 1.578029494458863 y[1] (numeric) 1.5780294944591515 absolute error 2.8843594179761567e-13 relative error 1.827823515406003e-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) 1.5902378740073704 y[1] (numeric) 1.5902378740076597 absolute error 2.893241202173158e-13 relative error 1.8193763646706784e-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) 1.6022872310936707 y[1] (numeric) 1.602287231093961 absolute error 2.9043434324194095e-13 relative error 1.8126234647935104e-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) 1.6141763607920967 y[1] (numeric) 1.6141763607923885 absolute error 2.9176661087149114e-13 relative error 1.8075262279786923e-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) 1.625904074199586 y[1] (numeric) 1.6259040741998794 absolute error 2.9332092310596636e-13 relative error 1.8040481462620412e-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) 1.6374691985545708 y[1] (numeric) 1.6374691985548655 absolute error 2.9465319073551655e-13 relative error 1.799442645978399e-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) 1.6488705773542536 y[1] (numeric) 1.6488705773545493 absolute error 2.957634137601417e-13 relative error 1.793733345856156e-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) 1.660107070470255 y[1] (numeric) 1.660107070470552 absolute error 2.970956813896919e-13 relative error 1.789617589578329e-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) 1.6711775542626275 y[1] (numeric) 1.6711775542629255 absolute error 2.97983859809392e-13 relative error 1.7830772023555045e-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) 1.682080921692217 y[1] (numeric) 1.682080921692516 absolute error 2.9909408283401717e-13 relative error 1.778119464865702e-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) 1.6928160824313667 y[1] (numeric) 1.692816082431667 absolute error 3.0020430585864233e-13 relative error 1.773401782829611e-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) 1.7033819629729487 y[1] (numeric) 1.7033819629732498 absolute error 3.0109248427834245e-13 relative error 1.7676157833257746e-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) 1.7137775067377137 y[1] (numeric) 1.713777506738016 absolute error 3.0242475190789264e-13 relative error 1.7646675295883518e-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) 1.7240016741799482 y[1] (numeric) 1.7240016741802513 absolute error 3.0309088572266774e-13 relative error 1.758066075352498e-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) 1.7340534428914278 y[1] (numeric) 1.734053442891732 absolute error 3.042011087472929e-13 relative error 1.7542775858168256e-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) 1.7439318077036583 y[1] (numeric) 1.7439318077039636 absolute error 3.0531133177191805e-13 relative error 1.7507068247923074e-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) 1.75363578078839 y[1] (numeric) 1.7536357807886962 absolute error 3.0619951019161817e-13 relative error 1.7460838421873366e-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) 1.763164391756401 y[1] (numeric) 1.7631643917567086 absolute error 3.0753177782116836e-13 relative error 1.7442036559893104e-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) 1.7725166877545355 y[1] (numeric) 1.7725166877548442 absolute error 3.086420008457935e-13 relative error 1.7412642881054522e-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) 1.7816917335609868 y[1] (numeric) 1.7816917335612963 absolute error 3.0953017926549364e-13 relative error 1.7372824570884082e-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) 1.79068861167882 y[1] (numeric) 1.7906886116791303 absolute error 3.1019631308026874e-13 relative error 1.7322738920501154e-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) 1.799506422427721 y[1] (numeric) 1.7995064224280322 absolute error 3.1108449149996886e-13 relative error 1.7287212072312784e-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) 1.808144284033963 y[1] (numeric) 1.8081442840342754 absolute error 3.1241675912951905e-13 relative error 1.7278309142040282e-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) 1.8166013327185835 y[1] (numeric) 1.816601332718897 absolute error 3.135269821541442e-13 relative error 1.7258986686140114e-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) 1.8248767227837617 y[1] (numeric) 1.824876722784076 absolute error 3.1441516057384433e-13 relative error 1.7229391807585727e-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) 1.832969626697387 y[1] (numeric) 1.8329696266977022 absolute error 3.1530333899354446e-13 relative error 1.7201776527069496e-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) 1.840879235175812 y[1] (numeric) 1.840879235176128 absolute error 3.1596947280831955e-13 relative error 1.7164052196946154e-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) 1.8486047572647806 y[1] (numeric) 1.8486047572650974 absolute error 3.168576512280197e-13 relative error 1.7140367619568735e-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) 1.8561454204185217 y[1] (numeric) 1.8561454204188388 absolute error 3.170796958329447e-13 relative error 1.7082696880584384e-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) 1.8635004705770035 y[1] (numeric) 1.8635004705773215 absolute error 3.1796787425264483e-13 relative error 1.7062935012524634e-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) 1.8706691722413396 y[1] (numeric) 1.8706691722416582 absolute error 3.1863400806741993e-13 relative error 1.7033156519367295e-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) 1.8776508085473373 y[1] (numeric) 1.8776508085476566 absolute error 3.19300141882195e-13 relative error 1.700529941076875e-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) 1.884444681337184 y[1] (numeric) 1.884444681337504 absolute error 3.199662756969701e-13 relative error 1.6979340325868577e-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) 1.8910501112292626 y[1] (numeric) 1.8910501112295832 absolute error 3.206324095117452e-13 relative error 1.6955257166787643e-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) 1.8974664376860881 y[1] (numeric) 1.8974664376864097 absolute error 3.2152058793144533e-13 relative error 1.6944731223996325e-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) 1.9036930190803616 y[1] (numeric) 1.903693019080684 absolute error 3.2240876635114546e-13 relative error 1.6935964103440117e-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) 1.9097292327591329 y[1] (numeric) 1.9097292327594562 absolute error 3.232969447708456e-13 relative error 1.6928941507783992e-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) 1.915574475106064 y[1] (numeric) 1.9155744751063877 absolute error 3.2374103398069565e-13 relative error 1.69004671020567e-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) 1.9212281616017912 y[1] (numeric) 1.921228161602115 absolute error 3.2374103398069565e-13 relative error 1.685073332002286e-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) 1.9266897268823764 y[1] (numeric) 1.9266897268827008 absolute error 3.2440716779547074e-13 relative error 1.6837540745099724e-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) 1.931958624795843 y[1] (numeric) 1.9319586247961675 absolute error 3.2462921240039577e-13 relative error 1.6803114116105905e-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) 1.93703432845679 y[1] (numeric) 1.937034328457115 absolute error 3.2507330161024584e-13 relative error 1.6782010356482816e-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) 1.9419163302990814 y[1] (numeric) 1.941916330299407 absolute error 3.255173908200959e-13 relative error 1.676268878020928e-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) 1.946604142126601 y[1] (numeric) 1.9466041421269271 absolute error 3.26183524634871e-13 relative error 1.6756541177320532e-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) 1.9510972951620729 y[1] (numeric) 1.9510972951623995 absolute error 3.2662761384472105e-13 relative error 1.6740713784731526e-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) 1.9553953400939375 y[1] (numeric) 1.9553953400942647 absolute error 3.2729374765949615e-13 relative error 1.6737983411772523e-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) 1.9594978471212834 y[1] (numeric) 1.9594978471216113 absolute error 3.2795988147427124e-13 relative error 1.6736935024250228e-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) 1.9634044059968265 y[1] (numeric) 1.9634044059971554 absolute error 3.2884805989397137e-13 relative error 1.6748870425754912e-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) 1.967114626067935 y[1] (numeric) 1.9671146260682641 absolute error 3.290701044988964e-13 relative error 1.6728567829149567e-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) 1.9706281363156937 y[1] (numeric) 1.970628136316023 absolute error 3.2929214910382143e-13 relative error 1.6710009516025146e-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) 1.9739445853920052 y[1] (numeric) 1.973944585392335 absolute error 3.297362383136715e-13 relative error 1.6704432371296242e-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) 1.977063641654726 y[1] (numeric) 1.9770636416550562 absolute error 3.3018032752352156e-13 relative error 1.670054117464693e-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) 1.979984993200829 y[1] (numeric) 1.9799849932011593 absolute error 3.3018032752352156e-13 relative error 1.667590050719296e-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) 1.9827083478975938 y[1] (numeric) 1.9827083478979242 absolute error 3.304023721284466e-13 relative error 1.6664194331899375e-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) 1.9852334334118205 y[1] (numeric) 1.9852334334121513 absolute error 3.3084646133829665e-13 relative error 1.666536820154717e-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) 1.9875599972370617 y[1] (numeric) 1.9875599972373927 absolute error 3.310685059432217e-13 relative error 1.6657032059582866e-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) 1.9896878067188735 y[1] (numeric) 1.9896878067192052 absolute error 3.3173463975799677e-13 relative error 1.6672698030202493e-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) 1.9916166490780813 y[1] (numeric) 1.991616649078413 absolute error 3.3173463975799677e-13 relative error 1.6656550843334063e-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) 1.9933463314320563 y[1] (numeric) 1.993346331432388 absolute error 3.3173463975799677e-13 relative error 1.6642097488381388e-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) 1.9948766808140046 y[1] (numeric) 1.9948766808143368 absolute error 3.3217872896784684e-13 relative error 1.6651592159185603e-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) 1.9962075441902631 y[1] (numeric) 1.9962075441905953 absolute error 3.3217872896784684e-13 relative error 1.6640490611039697e-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) 1.9973387884756035 y[1] (numeric) 1.9973387884759357 absolute error 3.3217872896784684e-13 relative error 1.6631065840431118e-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) 1.9982703005465399 y[1] (numeric) 1.9982703005468725 absolute error 3.326228181776969e-13 relative error 1.6645536796834862e-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) 1.9990019872526412 y[1] (numeric) 1.999001987252974 absolute error 3.3284486278262193e-13 relative error 1.6650551870639826e-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) 1.9995337754258466 y[1] (numeric) 1.9995337754261802 absolute error 3.33510996597397e-13 relative error 1.6679438011811938e-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) 1.9998656118877822 y[1] (numeric) 1.999865611888116 absolute error 3.3373304120232206e-13 relative error 1.6687773379296884e-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) 1.9999974634550783 y[1] (numeric) 1.9999974634554119 absolute error 3.33510996597397e-13 relative error 1.6675570979037292e-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) 1.999929316942688 y[1] (numeric) 1.9999293169430212 absolute error 3.33288951992472e-13 relative error 1.6665036567491004e-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) 1.9996611791652055 y[1] (numeric) 1.9996611791655388 absolute error 3.33288951992472e-13 relative error 1.666727120899599e-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) 1.9991930769361852 y[1] (numeric) 1.9991930769365185 absolute error 3.33288951992472e-13 relative error 1.6671173776934335e-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) 1.9985250570654602 y[1] (numeric) 1.9985250570657935 absolute error 3.33288951992472e-13 relative error 1.6676746224130797e-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) 1.9976571863544605 y[1] (numeric) 1.9976571863547938 absolute error 3.33288951992472e-13 relative error 1.6683991340911375e-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) 1.9965895515895344 y[1] (numeric) 1.996589551589868 absolute error 3.33510996597397e-13 relative error 1.670403395289135e-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) 1.9953222595332682 y[1] (numeric) 1.9953222595336022 absolute error 3.339550858072471e-13 relative error 1.6736899726932505e-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) 1.993855436913812 y[1] (numeric) 1.9938554369141457 absolute error 3.3373304120232206e-13 relative error 1.6738076142515655e-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) 1.992189230412205 y[1] (numeric) 1.9921892304125386 absolute error 3.33510996597397e-13 relative error 1.674092960177232e-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) 1.990323806647709 y[1] (numeric) 1.9903238066480426 absolute error 3.3373304120232206e-13 relative error 1.6767776182330187e-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) 1.9882593521611458 y[1] (numeric) 1.988259352161479 absolute error 3.33288951992472e-13 relative error 1.6762850964598877e-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) 1.985996073396244 y[1] (numeric) 1.9859960733965774 absolute error 3.33288951992472e-13 relative error 1.6781954227256648e-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) 1.9835341966789937 y[1] (numeric) 1.983534196679327 absolute error 3.33288951992472e-13 relative error 1.6802783261841086e-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) 1.9808739681950152 y[1] (numeric) 1.9808739681953482 absolute error 3.3306690738754696e-13 relative error 1.6814139250415795e-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) 1.97801565396494 y[1] (numeric) 1.9780156539652727 absolute error 3.326228181776969e-13 relative error 1.6815985126859494e-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) 1.9749595398178095 y[1] (numeric) 1.9749595398181419 absolute error 3.3240077357277187e-13 relative error 1.6830763712933376e-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) 1.9717059313624912 y[1] (numeric) 1.9717059313628231 absolute error 3.319566843629218e-13 relative error 1.6836013884359145e-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) 1.9682551539571194 y[1] (numeric) 1.9682551539574513 absolute error 3.319566843629218e-13 relative error 1.6865531061637645e-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) 1.9646075526765592 y[1] (numeric) 1.964607552676891 absolute error 3.3173463975799677e-13 relative error 1.6885542321470017e-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) 1.960763492277899 y[1] (numeric) 1.9607634922782302 absolute error 3.312905505481467e-13 relative error 1.6895997495509922e-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) 1.9567233571639748 y[1] (numeric) 1.956723357164306 absolute error 3.310685059432217e-13 relative error 1.6919535647750634e-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) 1.952487551344932 y[1] (numeric) 1.9524875513452626 absolute error 3.306244167333716e-13 relative error 1.693349678494122e-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) 1.9480564983978221 y[1] (numeric) 1.9480564983981523 absolute error 3.3018032752352156e-13 relative error 1.6949217222143102e-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) 1.9434306414242475 y[1] (numeric) 1.9434306414245772 absolute error 3.297362383136715e-13 relative error 1.6966709862721087e-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) 1.9386104430060507 y[1] (numeric) 1.9386104430063802 absolute error 3.2951419370874646e-13 relative error 1.699744241539289e-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) 1.9335963851590567 y[1] (numeric) 1.9335963851593858 absolute error 3.290701044988964e-13 relative error 1.701855190796849e-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) 1.9283889692848717 y[1] (numeric) 1.9283889692852 absolute error 3.284039706841213e-13 relative error 1.7029965215259835e-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) 1.9229887161207437 y[1] (numeric) 1.9229887161210717 absolute error 3.2795988147427124e-13 relative error 1.7054696094934277e-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) 1.917396165687489 y[1] (numeric) 1.917396165687816 absolute error 3.270717030545711e-13 relative error 1.7058118134772553e-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) 1.9116118772354902 y[1] (numeric) 1.9116118772358168 absolute error 3.2662761384472105e-13 relative error 1.7086502638656916e-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) 1.9056364291887726 y[1] (numeric) 1.9056364291890988 absolute error 3.26183524634871e-13 relative error 1.7116776297865326e-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) 1.8994704190871614 y[1] (numeric) 1.8994704190874867 absolute error 3.2529534621517087e-13 relative error 1.7125581053876046e-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) 1.893114463526528 y[1] (numeric) 1.8931144635268524 absolute error 3.2440716779547074e-13 relative error 1.7136162342300168e-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) 1.8865691980971324 y[1] (numeric) 1.886569198097456 absolute error 3.235189893757706e-13 relative error 1.7148535537529422e-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) 1.8798352773200626 y[1] (numeric) 1.8798352773203857 absolute error 3.2307490016592055e-13 relative error 1.718634095570883e-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) 1.8729133745817852 y[1] (numeric) 1.8729133745821074 absolute error 3.2218672174622043e-13 relative error 1.720243584774248e-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) 1.8658041820668056 y[1] (numeric) 1.8658041820671267 absolute error 3.2107649872159527e-13 relative error 1.7208477813889853e-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) 1.8585084106884509 y[1] (numeric) 1.858508410688771 absolute error 3.2018832030189515e-13 relative error 1.7228241661994264e-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) 1.8510267900177793 y[1] (numeric) 1.8510267900180983 absolute error 3.1907809727727e-13 relative error 1.723789731180526e-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) 1.843360068210623 y[1] (numeric) 1.8433600682109414 absolute error 3.184119634624949e-13 relative error 1.727345454388529e-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) 1.8355090119327742 y[1] (numeric) 1.8355090119330915 absolute error 3.1730174043786974e-13 relative error 1.7286852768091503e-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) 1.8274744062833177 y[1] (numeric) 1.8274744062836343 absolute error 3.1663560662309465e-13 relative error 1.732640443742586e-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) 1.8192570547161233 y[1] (numeric) 1.819257054716439 absolute error 3.157474282033945e-13 relative error 1.735584465014834e-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) 1.8108577789594997 y[1] (numeric) 1.810857778959815 absolute error 3.1530333899354446e-13 relative error 1.741182232293883e-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) 1.8022774189340236 y[1] (numeric) 1.8022774189343378 absolute error 3.141931159689193e-13 relative error 1.7433116160038902e-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) 1.7935168326685467 y[1] (numeric) 1.7935168326688602 absolute error 3.135269821541442e-13 relative error 1.748112849811686e-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) 1.7845768962143953 y[1] (numeric) 1.7845768962147077 absolute error 3.1241675912951905e-13 relative error 1.7506489061482615e-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) 1.7754585035577652 y[1] (numeric) 1.7754585035580766 absolute error 3.113065361048939e-13 relative error 1.7533867194365853e-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) 1.766162566530323 y[1] (numeric) 1.7661625665306333 absolute error 3.1019631308026874e-13 relative error 1.756329337732813e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) 1.756690014718025 y[1] (numeric) 1.7566900147183344 absolute error 3.093081346605686e-13 relative error 1.7607439677410427e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) 1.747041795368159 y[1] (numeric) 1.7470417953684672 absolute error 3.0819791163594346e-13 relative error 1.76411298489282e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) 1.7372188732946192 y[1] (numeric) 1.7372188732949265 absolute error 3.0730973321624333e-13 relative error 1.768975331435545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) 1.7272222307814278 y[1] (numeric) 1.7272222307817342 absolute error 3.064215547965432e-13 relative error 1.774071392410879e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) 1.7170528674845051 y[1] (numeric) 1.7170528674848107 absolute error 3.055333763768431e-13 relative error 1.7794057606650846e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) 1.7067118003317068 y[1] (numeric) 1.7067118003320112 absolute error 3.044231533522179e-13 relative error 1.7836822437921385e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) 1.6962000634211305 y[1] (numeric) 1.6962000634214338 absolute error 3.0331293032759277e-13 relative error 1.7881907734151913e-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) 1.6855187079177074 y[1] (numeric) 1.6855187079180096 absolute error 3.022027073029676e-13 relative error 1.7929359424097366e-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) 1.6746688019480866 y[1] (numeric) 1.674668801948388 absolute error 3.013145288832675e-13 relative error 1.7992484754762152e-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) 1.6636514304938241 y[1] (numeric) 1.6636514304941241 absolute error 2.999822612537173e-13 relative error 1.803155731754897e-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) 1.6524676952828836 y[1] (numeric) 1.6524676952831827 absolute error 2.9909408283401717e-13 relative error 1.8099844474285816e-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) 1.6411187146794666 y[1] (numeric) 1.6411187146797646 absolute error 2.97983859809392e-13 relative error 1.8157361630452946e-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) 1.629605623572176 y[1] (numeric) 1.629605623572473 absolute error 2.9687363678476686e-13 relative error 1.8217514255627395e-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) 1.6179295732605288 y[1] (numeric) 1.617929573260824 absolute error 2.9531932455029164e-13 relative error 1.825291591371002e-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) 1.6060917313398253 y[1] (numeric) 1.6060917313401195 absolute error 2.942091015256665e-13 relative error 1.8318324899178264e-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) 1.5940932815843933 y[1] (numeric) 1.594093281584686 absolute error 2.9265478929119126e-13 relative error 1.835869912206877e-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) 1.5819354238292096 y[1] (numeric) 1.581935423829501 absolute error 2.913225216616411e-13 relative error 1.8415576089475896e-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) 1.5696193738499182 y[1] (numeric) 1.5696193738502082 absolute error 2.899902540320909e-13 relative error 1.8475195889103417e-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) 1.5571463632412534 y[1] (numeric) 1.5571463632415423 absolute error 2.8888003100746573e-13 relative error 1.8551886824957936e-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) 1.5445176392938824 y[1] (numeric) 1.5445176392941697 absolute error 2.873257187729905e-13 relative error 1.8602941880569855e-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) 1.5317344648696756 y[1] (numeric) 1.531734464869962 absolute error 2.864375403532904e-13 relative error 1.8700208614660983e-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) 1.518798118275423 y[1] (numeric) 1.5187981182757078 absolute error 2.8466118351389014e-13 relative error 1.874252937823754e-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) 1.505709893135004 y[1] (numeric) 1.5057098931352872 absolute error 2.8332891588433995e-13 relative error 1.881696581633181e-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) 1.4924710982600253 y[1] (numeric) 1.4924710982603073 absolute error 2.8199664825478976e-13 relative error 1.889461367684448e-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) 1.4790830575189426 y[1] (numeric) 1.479083057519223 absolute error 2.8044233602031454e-13 relative error 1.896055360749901e-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) 1.465547109704673 y[1] (numeric) 1.4655471097049515 absolute error 2.7844393457598926e-13 relative error 1.8999316550943174e-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) 1.4518646084007183 y[1] (numeric) 1.4518646084009954 absolute error 2.7711166694643907e-13 relative error 1.9086605275934625e-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) 1.4380369218458067 y[1] (numeric) 1.4380369218460818 absolute error 2.751132655021138e-13 relative error 1.9131168422921257e-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) 1.4240654327970705 y[1] (numeric) 1.424065432797344 absolute error 2.7355895326763857e-13 relative error 1.9209717964316375e-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) 1.409951538391772 y[1] (numeric) 1.409951538392044 absolute error 2.7200464103316335e-13 relative error 1.929177235009219e-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) 1.39569665000759 y[1] (numeric) 1.3956966500078605 absolute error 2.7045032879868813e-13 relative error 1.9377443429216326e-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) 1.381302193121484 y[1] (numeric) 1.3813021931217528 absolute error 2.688960165642129e-13 relative error 1.9466849318218943e-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) 1.3667696071671471 y[1] (numeric) 1.3667696071674145 absolute error 2.673417043297377e-13 relative error 1.9560114808511653e-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) 1.3521003453910645 y[1] (numeric) 1.35210034539133 absolute error 2.6556534749033744e-13 relative error 1.9640949608183752e-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) 1.3372958747071892 y[1] (numeric) 1.3372958747074533 absolute error 2.6401103525586223e-13 relative error 1.974215581227822e-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) 1.3223576755502529 y[1] (numeric) 1.322357675550515 absolute error 2.62234678416462e-13 relative error 1.9830843293388242e-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) 1.3072872417277226 y[1] (numeric) 1.307287241727983 absolute error 2.604583215770617e-13 relative error 1.9923572514395358e-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) 1.292086080270415 y[1] (numeric) 1.2920860802706804 absolute error 2.653433028854124e-13 relative error 2.0536039118220348e-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) 1.2767557112818153 y[1] (numeric) 1.2767557112820855 absolute error 2.702282841937631e-13 relative error 2.1165230106741715e-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) 1.261297667786047 y[1] (numeric) 1.2612976677863221 absolute error 2.751132655021138e-13 relative error 2.181192215989898e-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) 1.2457134955745777 y[1] (numeric) 1.2457134955748579 absolute error 2.802202914153895e-13 relative error 2.249476243220273e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) 1.230004753051642 y[1] (numeric) 1.2300047530519276 absolute error 2.8554936193359026e-13 relative error 2.321530556895347e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) 1.2141730110784015 y[1] (numeric) 1.2141730110786924 absolute error 2.90878432451791e-13 relative error 2.3956917984319158e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) 1.1982198528158607 y[1] (numeric) 1.1982198528161565 absolute error 2.957634137601417e-13 relative error 2.4683568133601424e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) 1.1821468735665515 y[1] (numeric) 1.1821468735668528 absolute error 3.013145288832675e-13 relative error 2.5488755722391575e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) 1.1659556806150044 y[1] (numeric) 1.1659556806153113 absolute error 3.0686564400639327e-13 relative error 2.6318808605532197e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) 1.1496478930670224 y[1] (numeric) 1.1496478930673348 absolute error 3.1241675912951905e-13 relative error 2.7174995145344532e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) 1.1332251416877703 y[1] (numeric) 1.133225141688088 absolute error 3.177458296477198e-13 relative error 2.803907343376486e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) 1.1166890687387006 y[1] (numeric) 1.1166890687390236 absolute error 3.2307490016592055e-13 relative error 2.8931500200931797e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) 1.1000413278133279 y[1] (numeric) 1.1000413278136567 absolute error 3.2884805989397137e-13 relative error 2.989415502667146e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) 1.083283583671872 y[1] (numeric) 1.0832835836722063 absolute error 3.3439917501709715e-13 relative error 3.086903374678916e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) 1.066417512074782 y[1] (numeric) 1.066417512075122 absolute error 3.3995029014022293e-13 relative error 3.18777857913106e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) 1.049444799615163 y[1] (numeric) 1.0494447996155083 absolute error 3.452793606584237e-13 relative error 3.290114551856748e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) 1.0323671435501165 y[1] (numeric) 1.0323671435504678 absolute error 3.5127456499139953e-13 relative error 3.4026127931913095e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) 1.0151862516310182 y[1] (numeric) 1.015186251631375 absolute error 3.568256801145253e-13 relative error 3.514878964734226e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) 0.9979038419327425 y[1] (numeric) 0.9979038419331049 absolute error 3.623767952376511e-13 relative error 3.631379898646335e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y[1] (closed_form) 0.9805216426818572 y[1] (numeric) 0.9805216426822253 absolute error 3.681499549657019e-13 relative error 3.754633645400858e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) 0.9630413920838021 y[1] (numeric) 0.9630413920841764 absolute error 3.7425618160114027e-13 relative error 3.886189988068272e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y[1] (closed_form) 0.9454648381490706 y[1] (numeric) 0.9454648381494506 absolute error 3.800293413291911e-13 relative error 4.019497351939303e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) 0.9277937385184087 y[1] (numeric) 0.9277937385187947 absolute error 3.859135233597044e-13 relative error 4.1594754021078933e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) 0.9100298602870539 y[1] (numeric) 0.9100298602874455 absolute error 3.915756607852927e-13 relative error 4.302888046572193e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) 0.892174979828026 y[1] (numeric) 0.8921749798284235 absolute error 3.9757086511826856e-13 relative error 4.456198325522462e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) 0.8742308826144919 y[1] (numeric) 0.8742308826148955 absolute error 4.035660694512444e-13 relative error 4.616241286790646e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y[1] (closed_form) 0.8561993630412196 y[1] (numeric) 0.8561993630416291 absolute error 4.0956127378422025e-13 relative error 4.7834802437770906e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) 0.8380822242451401 y[1] (numeric) 0.8380822242455558 absolute error 4.156675004196586e-13 relative error 4.95974605348598e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) 0.8198812779250357 y[1] (numeric) 0.8198812779254574 absolute error 4.2166270475263445e-13 relative error 5.142972721852887e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) 0.8015983441603708 y[1] (numeric) 0.8015983441607987 absolute error 4.2787995369053533e-13 relative error 5.337834799780126e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) 0.7832352512292862 y[1] (numeric) 0.7832352512297203 absolute error 4.340972026284362e-13 relative error 5.542360382108971e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) 0.7647938354257725 y[1] (numeric) 0.7647938354262128 absolute error 4.403144515663371e-13 relative error 5.757296034181646e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) 0.7462759408760422 y[1] (numeric) 0.7462759408764889 absolute error 4.466427228067005e-13 relative error 5.984954067826349e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) 0.7276834193541188 y[1] (numeric) 0.7276834193545717 absolute error 4.5285997174460135e-13 relative error 6.223310298131477e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) 0.7090181300966609 y[1] (numeric) 0.7090181300971199 absolute error 4.589661983800397e-13 relative error 6.473264630305978e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) 0.6902819396170397 y[1] (numeric) 0.690281939617505 absolute error 4.652944696204031e-13 relative error 6.740643828499164e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) 0.6714767215186896 y[1] (numeric) 0.6714767215191614 absolute error 4.71733763163229e-13 relative error 7.025318198616047e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) 0.6526043563077499 y[1] (numeric) 0.652604356308228 absolute error 4.780620344035924e-13 relative error 7.325449635493266e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 0.6336667312050144 y[1] (numeric) 0.633666731205499 absolute error 4.846123502488808e-13 relative error 7.647748041424176e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 0.6146657399572123 y[1] (numeric) 0.614665739957703 absolute error 4.907185768843192e-13 relative error 7.983502983564348e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) 0.5956032826476341 y[1] (numeric) 0.5956032826481312 absolute error 4.971578704271451e-13 relative error 8.34713113428674e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 0.5764812655061256 y[1] (numeric) 0.5764812655066291 absolute error 5.03597163969971e-13 relative error 8.735707369914867e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 0.5573016007184658 y[1] (numeric) 0.5573016007189757 absolute error 5.099254352103344e-13 relative error 9.149900781783963e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 0.5380662062351506 y[1] (numeric) 0.5380662062356669 absolute error 5.163647287531603e-13 relative error 9.596676445565398e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) 0.5187770055795988 y[1] (numeric) 0.5187770055801217 absolute error 5.229150445984487e-13 relative error 1.0079765274373075e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) 0.4994359276558018 y[1] (numeric) 0.49943592765633116 absolute error 5.293543381412746e-13 relative error 1.059904401803652e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) 0.4800449065554344 y[1] (numeric) 0.48004490655597015 absolute error 5.357381205328693e-13 relative error 1.1160166751420444e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) 0.4606058813644475 y[1] (numeric) 0.46060588136498976 absolute error 5.422329252269265e-13 relative error 1.1772166773482703e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) 0.4411207959691611 y[1] (numeric) 0.4411207959697098 absolute error 5.487277299209836e-13 relative error 1.2439398344741502e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) 0.4215915988618772 y[1] (numeric) 0.42159159886243236 absolute error 5.551670234638095e-13 relative error 1.3168360682768127e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) 0.4020202429460322 y[1] (numeric) 0.40202024294659383 absolute error 5.616063170066354e-13 relative error 1.3969602945641378e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) 0.3824086853409084 y[1] (numeric) 0.38240868534147654 absolute error 5.681566328519239e-13 relative error 1.4857315082826257e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) 0.36275888718592325 y[1] (numeric) 0.36275888718649796 absolute error 5.747069486972123e-13 relative error 1.5842670407207977e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) 0.34307281344451757 y[1] (numeric) 0.3430728134450988 absolute error 5.812572645425007e-13 relative error 1.6942679272850713e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) 0.32335243270766045 y[1] (numeric) 0.32335243270824826 absolute error 5.878075803877891e-13 relative error 1.8178542077622773e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) 0.30359971699699206 y[1] (numeric) 0.3035997169975865 absolute error 5.944134073843088e-13 relative error 1.957885248589339e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) 0.2838166415676229 y[1] (numeric) 0.283816641568224 absolute error 6.01130256683291e-13 relative error 2.118023289131424e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) 0.2640051847106099 y[1] (numeric) 0.2640051847112177 absolute error 6.077915948310419e-13 relative error 2.3021956765632258e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) 0.24416732755512952 y[1] (numeric) 0.24416732755574388 absolute error 6.14369666251946e-13 relative error 2.516182948815009e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) 0.2243050538703657 y[1] (numeric) 0.22430505387098665 absolute error 6.209477376728501e-13 relative error 2.768318087169445e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) 0.20442034986713506 y[1] (numeric) 0.20442034986776264 absolute error 6.275813202449854e-13 relative error 3.0700530580878456e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) 0.1845152039992674 y[1] (numeric) 0.18451520399990162 absolute error 6.342149028171207e-13 relative error 3.437195900775953e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) 0.16459160676476198 y[1] (numeric) 0.16459160676540283 absolute error 6.40848485389256e-13 relative error 3.8935672236626926e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) 0.14465155050673928 y[1] (numeric) 0.1446515505073868 absolute error 6.475098235370069e-13 relative error 4.476342087372507e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) 0.12469702921420847 y[1] (numeric) 0.12469702921486261 absolute error 6.541434061091422e-13 relative error 5.245861992312857e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) 0.10473003832267007 y[1] (numeric) 0.10473003832333089 absolute error 6.60818622044701e-13 relative error 6.309733412001043e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) 0.08475257451457413 y[1] (numeric) 0.08475257451524161 absolute error 6.674799601924519e-13 relative error 7.875630492825578e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) 0.06476663551965363 y[1] (numeric) 0.0647666355203278 absolute error 6.741690539158185e-13 relative error 1.0409202956223346e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) 0.044774219915153186 y[1] (numeric) 0.04477421991583403 absolute error 6.808442698513772e-13 relative error 1.5206167101103538e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) 0.02477732692597295 y[1] (numeric) 0.024777326926660476 absolute error 6.875264246808399e-13 relative error 2.7748208139439656e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) 0.0047779562247478174 y[1] (numeric) 0.0047779562254420226 absolute error 6.942051100633506e-13 relative error 1.4529331735348644e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) -0.015221892268118174 y[1] (numeric) -0.015221892267417287 absolute error 7.008872648928133e-13 relative error 4.604468699077591e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) -0.03522021858444222 y[1] (numeric) -0.035220218583734655 absolute error 7.07565950275324e-13 relative error 2.0089766012635597e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) -0.0552150229082579 y[1] (numeric) -0.055215022907543675 absolute error 7.142272884230749e-13 relative error 1.293537973550774e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) -0.07520430577579512 y[1] (numeric) -0.07520430577507423 absolute error 7.208955654647298e-13 relative error 9.585828338259238e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) -0.0951860682754248 y[1] (numeric) -0.09518606827469722 absolute error 7.275846591880963e-13 relative error 7.643814608276499e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) -0.1151583122475484 y[1] (numeric) -0.11515831224681415 absolute error 7.342459973358473e-13 relative error 6.375970461927977e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) -0.13511904048441217 y[1] (numeric) -0.13511904048367127 absolute error 7.409073354835982e-13 relative error 5.483367353907993e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) -0.1550662569298263 y[1] (numeric) -0.15506625692907874 absolute error 7.475686736313492e-13 relative error 4.820962912451378e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) -0.17499796687876892 y[1] (numeric) -0.17499796687801467 absolute error 7.542577673547157e-13 relative error 4.31009445885296e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) -0.19491217717685477 y[1] (numeric) -0.1949121771760939 absolute error 7.608635943512354e-13 relative error 3.9036226744358877e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) -0.21480689641964923 y[1] (numeric) -0.21480689641888176 absolute error 7.674694213477551e-13 relative error 3.5728341786960974e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) -0.23468013515180683 y[1] (numeric) -0.23468013515103273 absolute error 7.741030039198904e-13 relative error 3.298545074635945e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) -0.2545299060660154 y[1] (numeric) -0.2545299060652347 absolute error 7.807088309164101e-13 relative error 3.067257765434934e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) -0.27435422420172484 y[1] (numeric) -0.2743542242009375 absolute error 7.873146579129298e-13 relative error 2.869701241902657e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) -0.2941511071436419 y[1] (numeric) -0.294151107142848 absolute error 7.939204849094494e-13 relative error 2.6990225963071313e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) -0.31391857521996963 y[1] (numeric) -0.3139185752191692 absolute error 8.004152896035066e-13 relative error 2.549754467516419e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) -0.33365465170037334 y[1] (numeric) -0.3336546516995663 absolute error 8.070211166000263e-13 relative error 2.418731800942319e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) -0.35335736299365156 y[1] (numeric) -0.353357362992838 absolute error 8.135714324453147e-13 relative error 2.3024040748796605e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) -0.3730247388450939 y[1] (numeric) -0.3730247388442738 absolute error 8.201217482906031e-13 relative error 2.198572005786392e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) -0.39265481253350465 y[1] (numeric) -0.392654812532678 absolute error 8.266720641358916e-13 relative error 2.1053404612616403e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) -0.4122456210678732 y[1] (numeric) -0.41224562106704 absolute error 8.3322237998118e-13 relative error 2.0211794556430134e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) -0.4317952053836719 y[1] (numeric) -0.43179520538283206 absolute error 8.398282069776997e-13 relative error 1.944968810460667e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) -0.4513016105387603 y[1] (numeric) -0.45130161053791396 absolute error 8.463230116717568e-13 relative error 1.875293577307254e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) -0.47076288590887816 y[1] (numeric) -0.47076288590802545 absolute error 8.527067940633515e-13 relative error 1.8113296939648788e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) -0.49017708538270627 y[1] (numeric) -0.49017708538184707 absolute error 8.592015987574086e-13 relative error 1.752839176655078e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) -0.5095422675564756 y[1] (numeric) -0.5095422675556099 absolute error 8.656408923002346e-13 relative error 1.6988598344381518e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) -0.5288564959281064 y[1] (numeric) -0.5288564959272343 absolute error 8.720801858430605e-13 relative error 1.6489921038269944e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) -0.5481178390908567 y[1] (numeric) -0.5481178390899781 absolute error 8.785194793858864e-13 relative error 1.6027930797564535e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Finished! diff ( y , x , 1 ) = sin ( x ) * 2.0 ; 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%