##############ECHO OF PROBLEM################# ##############temp/div_lin_linpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) / ( 0.2 * x + 0.3 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(-1.5) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(1.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(0.5) * c(x) + c(0.25) * ln(c(2.0) * c(x) + c(3.0))) 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) 0.3407877024514202 y[1] (numeric) 0.3407877024514202 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y[1] (closed_form) 0.34734533988907923 y[1] (numeric) 0.34734533988907923 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] 0.12000000000000002 y[1] (closed_form) 0.35389333245105953 y[1] (numeric) 0.35389333245105953 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) 0.3604317988446541 y[1] (numeric) 0.3604317988446541 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) 0.3669608555990131 y[1] (numeric) 0.3669608555990131 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] 0.15000000000000005 y[1] (closed_form) 0.37348061711810865 y[1] (numeric) 0.3734806171181087 absolute error 5.551115123125783e-17 relative error 1.486319468453248e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) 0.37999119573209933 y[1] (numeric) 0.3799911957320994 absolute error 5.551115123125783e-17 relative error 1.4608536159452018e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) 0.3864927017471523 y[1] (numeric) 0.3864927017471524 absolute error 1.1102230246251565e-16 relative error 2.8725588338572985e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) 0.3929852434937783 y[1] (numeric) 0.3929852434937784 absolute error 1.1102230246251565e-16 relative error 2.825101051517558e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) 0.3994689273737319 y[1] (numeric) 0.3994689273737321 absolute error 1.6653345369377348e-16 relative error 4.168871275886984e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) 0.405943857905529 y[1] (numeric) 0.40594385790552917 absolute error 1.6653345369377348e-16 relative error 4.1023764850884635e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y[1] (closed_form) 0.4124101377686285 y[1] (numeric) 0.4124101377686287 absolute error 2.220446049250313e-16 relative error 5.384072421847287e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 0.4188678678463268 y[1] (numeric) 0.418867867846327 absolute error 2.220446049250313e-16 relative error 5.3010656097042634e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) 0.4253171472674083 y[1] (numeric) 0.42531714726740855 absolute error 2.220446049250313e-16 relative error 5.220683114979747e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 0.43175807344659584 y[1] (numeric) 0.4317580734465961 absolute error 2.7755575615628914e-16 relative error 6.428501821416896e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) 0.43819074212384207 y[1] (numeric) 0.4381907421238424 absolute error 3.3306690738754696e-16 relative error 7.600957194422313e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 0.4446152474025015 y[1] (numeric) 0.44461524740250175 absolute error 2.220446049250313e-16 relative error 4.9940843509583615e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) 0.45103168178642083 y[1] (numeric) 0.45103168178642106 absolute error 2.220446049250313e-16 relative error 4.9230378683282195e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) 0.4574401362159849 y[1] (numeric) 0.45744013621598506 absolute error 1.6653345369377348e-16 relative error 3.640551856060638e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) 0.4638407001031523 y[1] (numeric) 0.4638407001031526 absolute error 2.7755575615628914e-16 relative error 5.983859460684762e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 0.4702334613655162 y[1] (numeric) 0.47023346136551636 absolute error 1.6653345369377348e-16 relative error 3.541505813094949e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) 0.47661850645942 y[1] (numeric) 0.47661850645942005 absolute error 5.551115123125783e-17 relative error 1.1646872808952526e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 0.48299592041216244 y[1] (numeric) 0.4829959204121625 absolute error 5.551115123125783e-17 relative error 1.1493089048016727e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 0.48936578685331883 y[1] (numeric) 0.4893657868533188 absolute error 5.551115123125783e-17 relative error 1.1343488393048733e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 0.49572818804521 y[1] (numeric) 0.49572818804520985 absolute error 1.6653345369377348e-16 relative error 3.3593702700356784e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 0.5020832049125448 y[1] (numeric) 0.5020832049125447 absolute error 1.1102230246251565e-16 relative error 2.211233145746312e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) 0.508430917071264 y[1] (numeric) 0.5084309170712636 absolute error 3.3306690738754696e-16 relative error 6.55087832396437e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 0.5147714028566103 y[1] (numeric) 0.5147714028566099 absolute error 3.3306690738754696e-16 relative error 6.470190564962733e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 0.5211047393504509 y[1] (numeric) 0.5211047393504504 absolute error 4.440892098500626e-16 relative error 8.522071981222298e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 0.5274310024078742 y[1] (numeric) 0.5274310024078738 absolute error 4.440892098500626e-16 relative error 8.419854119736376e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 0.5337502666830851 y[1] (numeric) 0.5337502666830846 absolute error 5.551115123125783e-16 relative error 1.0400210490989346e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 0.5400626056546212 y[1] (numeric) 0.5400626056546205 absolute error 6.661338147750939e-16 relative error 1.2334381380981918e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 0.5463680916499091 y[1] (numeric) 0.5463680916499083 absolute error 7.771561172376096e-16 relative error 1.4224039234992154e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 0.5526667958691851 y[1] (numeric) 0.5526667958691842 absolute error 8.881784197001252e-16 relative error 1.6070775851537766e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 0.5589587884087956 y[1] (numeric) 0.558958788408795 absolute error 6.661338147750939e-16 relative error 1.1917404799580959e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 0.5652441382839004 y[1] (numeric) 0.5652441382838997 absolute error 6.661338147750939e-16 relative error 1.178488673580053e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) 0.571522913450593 y[1] (numeric) 0.5715229134505925 absolute error 5.551115123125783e-16 relative error 9.712847888478692e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) 0.5777951808274608 y[1] (numeric) 0.5777951808274604 absolute error 4.440892098500626e-16 relative error 7.685927896007754e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) 0.5840610063165975 y[1] (numeric) 0.584061006316597 absolute error 5.551115123125783e-16 relative error 9.504341264167071e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 0.5903204548240868 y[1] (numeric) 0.5903204548240863 absolute error 4.440892098500626e-16 relative error 7.522849771187405e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 0.5965735902799729 y[1] (numeric) 0.5965735902799724 absolute error 5.551115123125783e-16 relative error 9.304996422185963e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 0.6028204756577327 y[1] (numeric) 0.6028204756577321 absolute error 5.551115123125783e-16 relative error 9.208570954841912e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 0.6090611729932649 y[1] (numeric) 0.6090611729932645 absolute error 4.440892098500626e-16 relative error 7.291372846303132e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 0.6152957434034105 y[1] (numeric) 0.6152957434034101 absolute error 4.440892098500626e-16 relative error 7.217491988383567e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 0.6215242471040179 y[1] (numeric) 0.6215242471040173 absolute error 5.551115123125783e-16 relative error 8.931453839477885e-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) 0.6277467434275658 y[1] (numeric) 0.6277467434275652 absolute error 5.551115123125783e-16 relative error 8.842921418940524e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 0.633963290840359 y[1] (numeric) 0.6339632908403584 absolute error 5.551115123125783e-16 relative error 8.756209079184102e-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) 0.640173946959306 y[1] (numeric) 0.6401739469593054 absolute error 5.551115123125783e-16 relative error 8.67126059954866e-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) 0.6463787685682932 y[1] (numeric) 0.6463787685682927 absolute error 5.551115123125783e-16 relative error 8.588022059297077e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 0.6525778116341665 y[1] (numeric) 0.652577811634166 absolute error 5.551115123125783e-16 relative error 8.506441721064405e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 0.658771131322331 y[1] (numeric) 0.6587711313223303 absolute error 6.661338147750939e-16 relative error 1.0111763905591674e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 0.6649587820119804 y[1] (numeric) 0.6649587820119798 absolute error 6.661338147750939e-16 relative error 1.0017670760878715e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 0.6711408173109669 y[1] (numeric) 0.6711408173109662 absolute error 6.661338147750939e-16 relative error 9.925395648622083e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 0.67731729007032 y[1] (numeric) 0.6773172900703195 absolute error 5.551115123125783e-16 relative error 8.195738104588262e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 0.6834882523984267 y[1] (numeric) 0.6834882523984261 absolute error 5.551115123125783e-16 relative error 8.121741820208878e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 0.6896537556748794 y[1] (numeric) 0.689653755674879 absolute error 4.440892098500626e-16 relative error 6.439306770909803e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 0.695813850564005 y[1] (numeric) 0.6958138505640045 absolute error 5.551115123125783e-16 relative error 7.977873850349805e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 0.7019685870280787 y[1] (numeric) 0.7019685870280781 absolute error 6.661338147750939e-16 relative error 9.489510315487217e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 0.7081180143402361 y[1] (numeric) 0.7081180143402354 absolute error 7.771561172376096e-16 relative error 1.0974951935966454e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 0.714262181097089 y[1] (numeric) 0.7142621810970883 absolute error 7.771561172376096e-16 relative error 1.0880544116782397e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 0.7204011352310542 y[1] (numeric) 0.7204011352310535 absolute error 6.661338147750939e-16 relative error 9.24670689978084e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 0.7265349240224019 y[1] (numeric) 0.7265349240224015 absolute error 4.440892098500626e-16 relative error 6.112427567712761e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 0.7326635941110337 y[1] (numeric) 0.7326635941110331 absolute error 5.551115123125783e-16 relative error 7.576622023728564e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 0.7387871915079935 y[1] (numeric) 0.7387871915079932 absolute error 3.3306690738754696e-16 relative error 4.5082929322001275e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 0.7449057616067238 y[1] (numeric) 0.7449057616067235 absolute error 3.3306690738754696e-16 relative error 4.471262333494892e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 0.7510193491940689 y[1] (numeric) 0.7510193491940685 absolute error 3.3306690738754696e-16 relative error 4.4348645310532476e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 0.7571279984610353 y[1] (numeric) 0.7571279984610351 absolute error 2.220446049250313e-16 relative error 2.932722147065845e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 0.7632317530133145 y[1] (numeric) 0.7632317530133141 absolute error 3.3306690738754696e-16 relative error 4.363902655681788e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 0.769330655881574 y[1] (numeric) 0.7693306558815737 absolute error 3.3306690738754696e-16 relative error 4.3293076239875877e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 0.7754247495315237 y[1] (numeric) 0.7754247495315234 absolute error 3.3306690738754696e-16 relative error 4.2952834248425884e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 0.7815140758737626 y[1] (numeric) 0.7815140758737624 absolute error 2.220446049250313e-16 relative error 2.8412105652323274e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 0.7875986762734122 y[1] (numeric) 0.787598676273412 absolute error 2.220446049250313e-16 relative error 2.8192607683859194e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 0.7936785915595413 y[1] (numeric) 0.7936785915595411 absolute error 2.220446049250313e-16 relative error 2.7976640328514346e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 0.7997538620343889 y[1] (numeric) 0.7997538620343887 absolute error 2.220446049250313e-16 relative error 2.7764117869990797e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) 0.8058245274823892 y[1] (numeric) 0.8058245274823891 absolute error 1.1102230246251565e-16 relative error 1.3777478678810999e-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) 0.8118906271790036 y[1] (numeric) 0.8118906271790035 absolute error 1.1102230246251565e-16 relative error 1.3674539247764679e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) 0.8179521998993664 y[1] (numeric) 0.8179521998993664 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] 0.8700000000000007 y[1] (closed_form) 0.8240092839267467 y[1] (numeric) 0.8240092839267464 absolute error 2.220446049250313e-16 relative error 2.6946857184290024e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 0.8300619170608325 y[1] (numeric) 0.8300619170608323 absolute error 2.220446049250313e-16 relative error 2.675036649208885e-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) 0.8361101366258415 y[1] (numeric) 0.8361101366258411 absolute error 4.440892098500626e-16 relative error 5.311372155374216e-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) 0.8421539794784617 y[1] (numeric) 0.8421539794784613 absolute error 4.440892098500626e-16 relative error 5.273254305882198e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 0.8481934820156276 y[1] (numeric) 0.8481934820156273 absolute error 3.3306690738754696e-16 relative error 3.926779849758505e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 0.8542286801821355 y[1] (numeric) 0.8542286801821349 absolute error 5.551115123125783e-16 relative error 6.498394694430296e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 0.860259609478101 y[1] (numeric) 0.8602596094781004 absolute error 5.551115123125783e-16 relative error 6.452837099365286e-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) 0.8662863049662644 y[1] (numeric) 0.8662863049662637 absolute error 6.661338147750939e-16 relative error 7.689534175436781e-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) 0.8723088012791457 y[1] (numeric) 0.8723088012791448 absolute error 8.881784197001252e-16 relative error 1.0181926611283853e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) 0.8783271326260547 y[1] (numeric) 0.8783271326260539 absolute error 7.771561172376096e-16 relative error 8.848139700683499e-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) 0.8843413327999583 y[1] (numeric) 0.8843413327999575 absolute error 7.771561172376096e-16 relative error 8.787965555980697e-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) 0.8903514351842094 y[1] (numeric) 0.8903514351842088 absolute error 6.661338147750939e-16 relative error 7.481695299758505e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 0.8963574727591408 y[1] (numeric) 0.8963574727591399 absolute error 8.881784197001252e-16 relative error 9.908752330319297e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 0.9023594781085256 y[1] (numeric) 0.9023594781085247 absolute error 8.881784197001252e-16 relative error 9.842844689367858e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) 0.9083574834259092 y[1] (numeric) 0.9083574834259089 absolute error 2.220446049250313e-16 relative error 2.4444627690805228e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 0.9143515205208184 y[1] (numeric) 0.9143515205208188 absolute error 4.440892098500626e-16 relative error 4.856876156307014e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 0.920341620824842 y[1] (numeric) 0.9203416208248429 absolute error 8.881784197001252e-16 relative error 9.650529755506536e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 0.9263278153975953 y[1] (numeric) 0.9263278153975972 absolute error 1.887379141862766e-15 relative error 2.0374851218870843e-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) 0.9323101349325671 y[1] (numeric) 0.9323101349325698 absolute error 2.6645352591003757e-15 relative error 2.857992377496892e-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) 0.9382886097628506 y[1] (numeric) 0.9382886097628538 absolute error 3.219646771412954e-15 relative error 3.4314034486965685e-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) 0.9442632698667642 y[1] (numeric) 0.9442632698667683 absolute error 4.107825191113079e-15 relative error 4.3502964927278113e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) 0.950234144873363 y[1] (numeric) 0.9502341448733678 absolute error 4.773959005888173e-15 relative error 5.023981754017475e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) 0.9562012640678424 y[1] (numeric) 0.9562012640678479 absolute error 5.440092820663267e-15 relative error 5.689275914068748e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) 0.9621646563968393 y[1] (numeric) 0.9621646563968453 absolute error 5.995204332975845e-15 relative error 6.230954642864326e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) 0.9681243504736301 y[1] (numeric) 0.9681243504736369 absolute error 6.772360450213455e-15 relative error 6.995341504322509e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) 0.9740803745832303 y[1] (numeric) 0.9740803745832377 absolute error 7.438494264988549e-15 relative error 7.636427608113119e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) 0.9800327566873965 y[1] (numeric) 0.9800327566874046 absolute error 8.104628079763643e-15 relative error 8.269752234770246e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) 0.9859815244295338 y[1] (numeric) 0.9859815244295427 absolute error 8.881784197001252e-15 relative error 9.008063515328087e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) 0.9919267051395096 y[1] (numeric) 0.9919267051395193 absolute error 9.658940314238862e-15 relative error 9.737554462635804e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 0.9978683258383783 y[1] (numeric) 0.9978683258383886 absolute error 1.0325074129013956e-14 relative error 1.0347130840473513e-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) 1.0038064132430151 y[1] (numeric) 1.0038064132430262 absolute error 1.1102230246251565e-14 relative error 1.106013081783707e-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) 1.0097409937706663 y[1] (numeric) 1.0097409937706778 absolute error 1.1546319456101628e-14 relative error 1.1434931856123139e-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) 1.0156720935434111 y[1] (numeric) 1.0156720935434234 absolute error 1.2212453270876722e-14 relative error 1.2024011832668066e-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) 1.0215997383925446 y[1] (numeric) 1.021599738392557 absolute error 1.2434497875801753e-14 relative error 1.2171594616270213e-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) 1.0275239538628753 y[1] (numeric) 1.0275239538628884 absolute error 1.3100631690576847e-14 relative error 1.2749709280573275e-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) 1.033444765216949 y[1] (numeric) 1.033444765216963 absolute error 1.3988810110276972e-14 relative error 1.3536098474832693e-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) 1.039362197439189 y[1] (numeric) 1.0393621974392033 absolute error 1.4432899320127035e-14 relative error 1.3886303884908684e-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) 1.0452762752399658 y[1] (numeric) 1.045276275239981 absolute error 1.509903313490213e-14 relative error 1.444501658801719e-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) 1.0511870230595903 y[1] (numeric) 1.0511870230596059 absolute error 1.554312234475219e-14 relative error 1.4786257824523271e-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) 1.0570944650722345 y[1] (numeric) 1.0570944650722502 absolute error 1.5765166949677223e-14 relative error 1.4913678455974074e-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) 1.062998625189781 y[1] (numeric) 1.062998625189797 absolute error 1.5987211554602254e-14 relative error 1.5039729286336566e-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) 1.068899527065605 y[1] (numeric) 1.0688995270656216 absolute error 1.6653345369377348e-14 relative error 1.557989778056589e-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) 1.0747971940982866 y[1] (numeric) 1.0747971940983037 absolute error 1.709743457922741e-14 relative error 1.5907591379201079e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) 1.0806916494352568 y[1] (numeric) 1.0806916494352745 absolute error 1.7763568394002505e-14 relative error 1.6437221850733569e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) 1.0865829159763802 y[1] (numeric) 1.0865829159763989 absolute error 1.865174681370263e-14 relative error 1.7165507150406988e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) 1.0924710163774716 y[1] (numeric) 1.092471016377491 absolute error 1.9539925233402755e-14 relative error 1.7885989596497728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) 1.098355973053752 y[1] (numeric) 1.0983559730537718 absolute error 1.9761969838327786e-14 relative error 1.7992317903442278e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) 1.1042378081832434 y[1] (numeric) 1.1042378081832638 absolute error 2.042810365310288e-14 relative error 1.84997321244709e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) 1.110116543710104 y[1] (numeric) 1.110116543710125 absolute error 2.1094237467877974e-14 relative error 1.9001822454946253e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) 1.1159922013479038 y[1] (numeric) 1.1159922013479253 absolute error 2.1538326677728037e-14 relative error 1.929971074324165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) 1.1218648025828453 y[1] (numeric) 1.1218648025828672 absolute error 2.19824158875781e-14 relative error 1.9594532101344524e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) 1.127734368676926 y[1] (numeric) 1.1277343686769483 absolute error 2.2426505097428162e-14 relative error 1.988633646391327e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) 1.1336009206710467 y[1] (numeric) 1.1336009206710698 absolute error 2.3092638912203256e-14 relative error 2.0371048127354494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) 1.139464479388068 y[1] (numeric) 1.1394644793880917 absolute error 2.375877272697835e-14 relative error 2.085082348485109e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) 1.1453250654358107 y[1] (numeric) 1.1453250654358347 absolute error 2.398081733190338e-14 relative error 2.093800097073609e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) 1.1511826992100072 y[1] (numeric) 1.151182699210032 absolute error 2.4868995751603507e-14 relative error 2.1602996438940336e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) 1.157037400897203 y[1] (numeric) 1.1570374008972286 absolute error 2.55351295663786e-14 relative error 2.2069407217586797e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) 1.162889190477606 y[1] (numeric) 1.1628891904776322 absolute error 2.6201263381153694e-14 relative error 2.2531178031152453e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) 1.16873808772789 y[1] (numeric) 1.1687380877279168 absolute error 2.6867397195928788e-14 relative error 2.2988381638319774e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) 1.1745841122239493 y[1] (numeric) 1.1745841122239766 absolute error 2.731148640577885e-14 relative error 2.325204821140265e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) 1.1804272833436085 y[1] (numeric) 1.1804272833436364 absolute error 2.7977620220553945e-14 relative error 2.370126530903809e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) 1.1862676202692841 y[1] (numeric) 1.186267620269313 absolute error 2.886579864025407e-14 relative error 2.4333293893414625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) 1.192105141990604 y[1] (numeric) 1.1921051419906339 absolute error 2.9976021664879227e-14 relative error 2.5145451193025302e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) 1.197939867306982 y[1] (numeric) 1.1979398673070125 absolute error 3.042011087472929e-14 relative error 2.5393687700798324e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) 1.2037718148301502 y[1] (numeric) 1.203771814830181 absolute error 3.086420008457935e-14 relative error 2.5639576956646246e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) 1.209601002986648 y[1] (numeric) 1.209601002986679 absolute error 3.108624468950438e-14 relative error 2.5699585741702236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) 1.2154274500202722 y[1] (numeric) 1.2154274500203037 absolute error 3.1530333899354446e-14 relative error 2.5941765507129653e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) 1.2212511739944847 y[1] (numeric) 1.2212511739945169 absolute error 3.219646771412954e-14 relative error 2.6363510144126128e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) 1.2270721927947816 y[1] (numeric) 1.2270721927948143 absolute error 3.26405569239796e-14 relative error 2.660035580273188e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) 1.2328905241310233 y[1] (numeric) 1.2328905241310566 absolute error 3.3306690738754696e-14 relative error 2.7015124284640123e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y[1] (closed_form) 1.2387061855397268 y[1] (numeric) 1.2387061855397605 absolute error 3.375077994860476e-14 relative error 2.7246800203794035e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) 1.2445191943863203 y[1] (numeric) 1.2445191943863545 absolute error 3.419486915845482e-14 relative error 2.7476369438654186e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) 1.2503295678673625 y[1] (numeric) 1.2503295678673974 absolute error 3.4861002973229915e-14 relative error 2.7881451314225053e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) 1.2561373230127235 y[1] (numeric) 1.2561373230127588 absolute error 3.530509218307998e-14 relative error 2.8106076888475965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) 1.2619424766877334 y[1] (numeric) 1.2619424766877694 absolute error 3.597122599785507e-14 relative error 2.8504647923628077e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) 1.2677450455952948 y[1] (numeric) 1.2677450455953312 absolute error 3.6415315207705135e-14 relative error 2.8724478422714406e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) 1.2735450462779618 y[1] (numeric) 1.2735450462779991 absolute error 3.730349362740526e-14 relative error 2.9291067274320394e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) 1.2793424951199863 y[1] (numeric) 1.2793424951200245 absolute error 3.8191672047105385e-14 relative error 2.985257833049897e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y[1] (closed_form) 1.2851374083493305 y[1] (numeric) 1.2851374083493694 absolute error 3.885780586188048e-14 relative error 3.0236304390042323e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y[1] (closed_form) 1.2909298020396498 y[1] (numeric) 1.2909298020396893 absolute error 3.952393967665557e-14 relative error 3.061664516088198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) 1.2967196921122413 y[1] (numeric) 1.2967196921122812 absolute error 3.9968028886505635e-14 relative error 3.0822412221874465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) 1.3025070943379649 y[1] (numeric) 1.302507094338005 absolute error 4.0190073491430667e-14 relative error 3.085593442533868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) 1.308292024339131 y[1] (numeric) 1.3082920243391718 absolute error 4.085620730620576e-14 relative error 3.122866038019594e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) 1.3140744975913623 y[1] (numeric) 1.314074497591404 absolute error 4.1744385725905886e-14 relative error 3.176713786198683e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) 1.3198545294254227 y[1] (numeric) 1.3198545294254653 absolute error 4.263256414560601e-14 relative error 3.2300956806327293e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) 1.32563213502902 y[1] (numeric) 1.3256321350290636 absolute error 4.3520742565306136e-14 relative error 3.283018072306568e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) 1.3314073294485815 y[1] (numeric) 1.3314073294486253 absolute error 4.374278717023117e-14 relative error 3.2854548869238815e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) 1.3371801275909991 y[1] (numeric) 1.3371801275910438 absolute error 4.463096558993129e-14 relative error 3.3376928559607254e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) 1.3429505442253507 y[1] (numeric) 1.3429505442253955 absolute error 4.4853010194856324e-14 relative error 3.339885477370928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) 1.3487185939845925 y[1] (numeric) 1.348718593984638 absolute error 4.551914400963142e-14 relative error 3.3749919525578527e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) 1.3544842913672284 y[1] (numeric) 1.354484291367274 absolute error 4.574118861455645e-14 relative error 3.37701875954463e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) 1.3602476507389503 y[1] (numeric) 1.3602476507389967 absolute error 4.6407322429331543e-14 relative error 3.4116818657338547e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) 1.3660086863342569 y[1] (numeric) 1.3660086863343037 absolute error 4.6851411639181606e-14 relative error 3.4298033466323984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) 1.3717674122580448 y[1] (numeric) 1.371767412258092 absolute error 4.729550084903167e-14 relative error 3.447778422668555e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) 1.3775238424871783 y[1] (numeric) 1.3775238424872265 absolute error 4.8183679268731794e-14 relative error 3.4978472083455267e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) 1.383277990872034 y[1] (numeric) 1.3832779908720831 absolute error 4.907185768843192e-14 relative error 3.547505130006187e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) 1.3890298711380222 y[1] (numeric) 1.3890298711380722 absolute error 4.9960036108132044e-14 relative error 3.596757502932615e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) 1.394779496887086 y[1] (numeric) 1.3947794968871363 absolute error 5.040412531798211e-14 relative error 3.6137701644220947e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) 1.4005268815991767 y[1] (numeric) 1.4005268815992276 absolute error 5.084821452783217e-14 relative error 3.630648950470103e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) 1.4062720386337104 y[1] (numeric) 1.4062720386337622 absolute error 5.1736392947532295e-14 relative error 3.678974730792326e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) 1.4120149812309992 y[1] (numeric) 1.4120149812310512 absolute error 5.1958437552457326e-14 relative error 3.679736988849778e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) 1.417755722513663 y[1] (numeric) 1.4177557225137154 absolute error 5.240252676230739e-14 relative error 3.696160483090724e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) 1.4234942754880202 y[1] (numeric) 1.423494275488073 absolute error 5.284661597215745e-14 relative error 3.712457217577494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) 1.4292306530454588 y[1] (numeric) 1.4292306530455121 absolute error 5.3290705182007514e-14 relative error 3.7286287604071225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y[1] (closed_form) 1.4349648679637856 y[1] (numeric) 1.4349648679638396 absolute error 5.395683899678261e-14 relative error 3.760150523639462e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y[1] (closed_form) 1.440696932908557 y[1] (numeric) 1.4406969329086114 absolute error 5.440092820663267e-14 relative error 3.776014716488993e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y[1] (closed_form) 1.4464268604343902 y[1] (numeric) 1.4464268604344452 absolute error 5.5067062021407764e-14 relative error 3.807110025934533e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y[1] (closed_form) 1.452154662986254 y[1] (numeric) 1.4521546629863096 absolute error 5.551115123125783e-14 relative error 3.822674860066423e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y[1] (closed_form) 1.457880352900744 y[1] (numeric) 1.4578803529008 absolute error 5.595524044110789e-14 relative error 3.838122952255565e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y[1] (closed_form) 1.4636039424073344 y[1] (numeric) 1.4636039424073914 absolute error 5.706546346573305e-14 relative error 3.8989689636850684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y[1] (closed_form) 1.4693254436296175 y[1] (numeric) 1.4693254436296748 absolute error 5.728750807065808e-14 relative error 3.898898526465517e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y[1] (closed_form) 1.4750448685865207 y[1] (numeric) 1.4750448685865782 absolute error 5.750955267558311e-14 relative error 3.898834123648884e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y[1] (closed_form) 1.4807622291935083 y[1] (numeric) 1.4807622291935665 absolute error 5.81756864903582e-14 relative error 3.9287662356192985e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y[1] (closed_form) 1.4864775372637657 y[1] (numeric) 1.4864775372638246 absolute error 5.88418203051333e-14 relative error 3.958473561157635e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y[1] (closed_form) 1.492190804509367 y[1] (numeric) 1.492190804509426 absolute error 5.906386491005833e-14 relative error 3.9581978880695856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y[1] (closed_form) 1.497902042542424 y[1] (numeric) 1.4979020425424843 absolute error 6.017408793468348e-14 relative error 4.017224506386853e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y[1] (closed_form) 1.5036112628762235 y[1] (numeric) 1.503611262876284 absolute error 6.061817714453355e-14 relative error 4.031505924515252e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y[1] (closed_form) 1.5093184769263424 y[1] (numeric) 1.5093184769264034 absolute error 6.106226635438361e-14 relative error 4.0456846774137494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y[1] (closed_form) 1.515023696011752 y[1] (numeric) 1.515023696011814 absolute error 6.195044477408373e-14 relative error 4.089074311983777e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y[1] (closed_form) 1.520726931355905 y[1] (numeric) 1.5207269313559675 absolute error 6.23945339839338e-14 relative error 4.102941343210237e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y[1] (closed_form) 1.5264281940878066 y[1] (numeric) 1.5264281940878697 absolute error 6.306066779870889e-14 relative error 4.131256749774197e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y[1] (closed_form) 1.5321274952430712 y[1] (numeric) 1.532127495243135 absolute error 6.372680161348399e-14 relative error 4.1593667505701775e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y[1] (closed_form) 1.5378248457649653 y[1] (numeric) 1.5378248457650294 absolute error 6.417089082333405e-14 relative error 4.172834832266825e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y[1] (closed_form) 1.543520256505434 y[1] (numeric) 1.5435202565054986 absolute error 6.461498003318411e-14 relative error 4.186208749827096e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y[1] (closed_form) 1.5492137382261146 y[1] (numeric) 1.54921373822618 absolute error 6.52811138479592e-14 relative error 4.21382229173281e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y[1] (closed_form) 1.5549053015993366 y[1] (numeric) 1.5549053015994025 absolute error 6.59472476627343e-14 relative error 4.241238845536292e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y[1] (closed_form) 1.5605949572091058 y[1] (numeric) 1.5605949572091724 absolute error 6.661338147750939e-14 relative error 4.2684606386680636e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y[1] (closed_form) 1.5662827155520778 y[1] (numeric) 1.5662827155521448 absolute error 6.705747068735946e-14 relative error 4.281313330060166e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y[1] (closed_form) 1.571968587038515 y[1] (numeric) 1.5719685870385827 absolute error 6.772360450213455e-14 relative error 4.308203424708463e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y[1] (closed_form) 1.577652581993233 y[1] (numeric) 1.5776525819933014 absolute error 6.838973831690964e-14 relative error 4.334904851517112e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y[1] (closed_form) 1.5833347106565334 y[1] (numeric) 1.5833347106566025 absolute error 6.905587213168474e-14 relative error 4.361419709105635e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y[1] (closed_form) 1.5890149831851228 y[1] (numeric) 1.5890149831851923 absolute error 6.94999613415348e-14 relative error 4.3737763379817005e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y[1] (closed_form) 1.5946934096530214 y[1] (numeric) 1.5946934096530914 absolute error 6.994405055138486e-14 relative error 4.38605001613467e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y[1] (closed_form) 1.6003700000524566 y[1] (numeric) 1.6003700000525272 absolute error 7.061018436615996e-14 relative error 4.412116220864269e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y[1] (closed_form) 1.6060447642947473 y[1] (numeric) 1.6060447642948183 absolute error 7.105427357601002e-14 relative error 4.424177654052604e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y[1] (closed_form) 1.6117177122111745 y[1] (numeric) 1.6117177122112465 absolute error 7.194245199571014e-14 relative error 4.4637129350033426e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y[1] (closed_form) 1.617388853553841 y[1] (numeric) 1.6173888535539134 absolute error 7.238654120556021e-14 relative error 4.475518737903219e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y[1] (closed_form) 1.6230581979965195 y[1] (numeric) 1.6230581979965928 absolute error 7.327471962526033e-14 relative error 4.514608269482242e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y[1] (closed_form) 1.6287257551354886 y[1] (numeric) 1.6287257551355623 absolute error 7.37188088351104e-14 relative error 4.526164616889598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y[1] (closed_form) 1.634391534490359 y[1] (numeric) 1.634391534490433 absolute error 7.394085344003543e-14 relative error 4.524059986831239e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y[1] (closed_form) 1.6400555455048875 y[1] (numeric) 1.640055545504962 absolute error 7.438494264988549e-14 relative error 4.5355136204844966e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y[1] (closed_form) 1.645717797547781 y[1] (numeric) 1.645717797547856 absolute error 7.505107646466058e-14 relative error 4.560385539762116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y[1] (closed_form) 1.6513782999134903 y[1] (numeric) 1.6513782999135658 absolute error 7.549516567451064e-14 relative error 4.5716457385001104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y[1] (closed_form) 1.6570370618229908 y[1] (numeric) 1.657037061823067 absolute error 7.616129948928574e-14 relative error 4.596233919203763e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y[1] (closed_form) 1.6626940924245577 y[1] (numeric) 1.6626940924246345 absolute error 7.682743330406083e-14 relative error 4.620659546100286e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y[1] (closed_form) 1.6683494007945256 y[1] (numeric) 1.6683494007946034 absolute error 7.771561172376096e-14 relative error 4.658233562271194e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y[1] (closed_form) 1.6740029959380427 y[1] (numeric) 1.6740029959381206 absolute error 7.793765632868599e-14 relative error 4.655765641865708e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y[1] (closed_form) 1.6796548867898125 y[1] (numeric) 1.679654886789891 absolute error 7.860379014346108e-14 relative error 4.679758369511853e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y[1] (closed_form) 1.6853050822148261 y[1] (numeric) 1.6853050822149056 absolute error 7.949196856316121e-14 relative error 4.7167702395279646e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y[1] (closed_form) 1.6909535910090872 y[1] (numeric) 1.6909535910091673 absolute error 8.01581023779363e-14 relative error 4.74040818175864e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y[1] (closed_form) 1.6966004219003241 y[1] (numeric) 1.696600421900405 absolute error 8.08242361927114e-14 relative error 4.763893439457122e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y[1] (closed_form) 1.7022455835486965 y[1] (numeric) 1.7022455835487778 absolute error 8.126832540256146e-14 relative error 4.774183360378599e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y[1] (closed_form) 1.7078890845474892 y[1] (numeric) 1.7078890845475712 absolute error 8.193445921733655e-14 relative error 4.7974110238572876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y[1] (closed_form) 1.7135309334238 y[1] (numeric) 1.7135309334238829 absolute error 8.282263763703668e-14 relative error 4.8334486423042894e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y[1] (closed_form) 1.7191711386392179 y[1] (numeric) 1.7191711386393014 absolute error 8.348877145181177e-14 relative error 4.8563385910431206e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y[1] (closed_form) 1.7248097085904914 y[1] (numeric) 1.7248097085905754 absolute error 8.393286066166183e-14 relative error 4.866209892235096e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y[1] (closed_form) 1.7304466516101904 y[1] (numeric) 1.730446651610275 absolute error 8.459899447643693e-14 relative error 4.888853082972369e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y[1] (closed_form) 1.736081975967358 y[1] (numeric) 1.7360819759674428 absolute error 8.482103908136196e-14 relative error 4.8857738433750534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y[1] (closed_form) 1.7417156898681545 y[1] (numeric) 1.7417156898682402 absolute error 8.570921750106208e-14 relative error 4.920964885351074e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y[1] (closed_form) 1.7473478014564936 y[1] (numeric) 1.74734780145658 absolute error 8.637535131583718e-14 relative error 4.943226027688329e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y[1] (closed_form) 1.7529783188146704 y[1] (numeric) 1.7529783188147574 absolute error 8.704148513061227e-14 relative error 4.965348641018448e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y[1] (closed_form) 1.7586072499639815 y[1] (numeric) 1.758607249964069 absolute error 8.748557434046234e-14 relative error 4.974707931077513e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y[1] (closed_form) 1.7642346028653375 y[1] (numeric) 1.7642346028654257 absolute error 8.815170815523743e-14 relative error 4.9965978454377915e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) 1.7698603854198667 y[1] (numeric) 1.7698603854199553 absolute error 8.859579736508749e-14 relative error 5.005807130039231e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) 1.7754846054695128 y[1] (numeric) 1.7754846054696023 absolute error 8.948397578478762e-14 relative error 5.0399747488164955e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) 1.7811072707976252 y[1] (numeric) 1.7811072707977151 absolute error 8.992806499463768e-14 relative error 5.048997692001201e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) 1.78672838912954 y[1] (numeric) 1.7867283891296306 absolute error 9.059419880941277e-14 relative error 5.070395666212509e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) 1.7923479681331562 y[1] (numeric) 1.7923479681332475 absolute error 9.126033262418787e-14 relative error 5.091663797808262e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) 1.7979660154195027 y[1] (numeric) 1.7979660154195947 absolute error 9.192646643896296e-14 relative error 5.112803337248542e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) 1.8035825385433006 y[1] (numeric) 1.803582538543393 absolute error 9.237055564881302e-14 relative error 5.1215042103600066e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) 1.8091975450035158 y[1] (numeric) 1.8091975450036084 absolute error 9.259260025373806e-14 relative error 5.117882262744178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) 1.8148110422439068 y[1] (numeric) 1.8148110422440002 absolute error 9.348077867343818e-14 relative error 5.150992389701063e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) 1.8204230376535662 y[1] (numeric) 1.8204230376536605 absolute error 9.43689570931383e-14 relative error 5.183902595232763e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) 1.8260335385674535 y[1] (numeric) 1.8260335385675492 absolute error 9.57012247226885e-14 relative error 5.240934665294665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) 1.8316425522669233 y[1] (numeric) 1.8316425522670197 absolute error 9.636735853746359e-14 relative error 5.2612535354234374e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) 1.8372500859802456 y[1] (numeric) 1.8372500859803427 absolute error 9.703349235223868e-14 relative error 5.281452595522262e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) 1.8428561468831215 y[1] (numeric) 1.8428561468832192 absolute error 9.769962616701378e-14 relative error 5.301532967304915e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) 1.8484607420991912 y[1] (numeric) 1.8484607420992896 absolute error 9.836575998178887e-14 relative error 5.321495758145261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) 1.8540638787005368 y[1] (numeric) 1.8540638787006356 absolute error 9.880984919163893e-14 relative error 5.32936595803226e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) 1.8596655637081774 y[1] (numeric) 1.8596655637082766 absolute error 9.9253938401489e-14 relative error 5.3371928984680674e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) 1.8652658040925614 y[1] (numeric) 1.8652658040926613 absolute error 9.992007221626409e-14 relative error 5.356881147825176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) 1.8708646067740495 y[1] (numeric) 1.87086460677415 absolute error 1.0036416142611415e-13 relative error 5.364587103883112e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) 1.8764619786233943 y[1] (numeric) 1.8764619786234953 absolute error 1.0103029524088925e-13 relative error 5.384084324213532e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) 1.8820579264622128 y[1] (numeric) 1.8820579264623147 absolute error 1.0191847366058937e-13 relative error 5.415267629523498e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) 1.8876524570634539 y[1] (numeric) 1.8876524570635567 absolute error 1.028066520802895e-13 relative error 5.446270138106976e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) 1.893245577151861 y[1] (numeric) 1.893245577151964 absolute error 1.0302869668521453e-13 relative error 5.441908748056216e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) 1.8988372934044269 y[1] (numeric) 1.8988372934045306 absolute error 1.0369483049998962e-13 relative error 5.4609644997057684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) 1.9044276124508464 y[1] (numeric) 1.904427612450951 absolute error 1.0458300891968975e-13 relative error 5.491571758146258e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) 1.9100165408739604 y[1] (numeric) 1.9100165408740657 absolute error 1.0524914273446484e-13 relative error 5.5103786005071096e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) 1.9156040852101983 y[1] (numeric) 1.915604085210304 absolute error 1.056932319443149e-13 relative error 5.517488334898661e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) 1.9211902519500113 y[1] (numeric) 1.9211902519501178 absolute error 1.0658141036401503e-13 relative error 5.54767599178867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) 1.9267750475383036 y[1] (numeric) 1.926775047538411 absolute error 1.0724754417879012e-13 relative error 5.566168417834364e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) 1.9323584783748582 y[1] (numeric) 1.9323584783749657 absolute error 1.0746958878371515e-13 relative error 5.56157617680228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) 1.9379405508147554 y[1] (numeric) 1.9379405508148633 absolute error 1.0791367799356522e-13 relative error 5.5684720539128914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) 1.9435212711687897 y[1] (numeric) 1.943521271168898 absolute error 1.0835776720341528e-13 relative error 5.5753321978437295e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) 1.9491006457038798 y[1] (numeric) 1.9491006457039888 absolute error 1.0902390101819037e-13 relative error 5.5935490688228935e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) 1.954678680643474 y[1] (numeric) 1.9546786806435834 absolute error 1.0946799022804043e-13 relative error 5.600306143002691e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) 1.9602553821679523 y[1] (numeric) 1.960255382168062 absolute error 1.0969003483296547e-13 relative error 5.595701245398614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) 1.9658307564150215 y[1] (numeric) 1.965830756415132 absolute error 1.1057821325266559e-13 relative error 5.6250118628890034e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) 1.9714048094801084 y[1] (numeric) 1.9714048094802197 absolute error 1.1124434706744069e-13 relative error 5.642897213828835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) 1.9769775474167468 y[1] (numeric) 1.9769775474168585 absolute error 1.1168843627729075e-13 relative error 5.649453956785217e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) 1.9825489762369601 y[1] (numeric) 1.9825489762370727 absolute error 1.1257661469699087e-13 relative error 5.678377485063218e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) 1.9881191019116409 y[1] (numeric) 1.9881191019117541 absolute error 1.1324274851176597e-13 relative error 5.695974069303967e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) 1.9936879303709243 y[1] (numeric) 1.9936879303710378 absolute error 1.13464793116691e-13 relative error 5.69120128522727e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) 1.9992554675045584 y[1] (numeric) 1.9992554675046728 absolute error 1.1435297153639112e-13 relative error 5.719777857060201e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) 2.004821719162271 y[1] (numeric) 2.0048217191623854 absolute error 1.1457501614131615e-13 relative error 5.714972810110624e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) 2.0103866911541295 y[1] (numeric) 2.0103866911542445 absolute error 1.1501910535116622e-13 relative error 5.721242876172029e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) 2.0159503892509014 y[1] (numeric) 2.015950389251017 absolute error 1.1546319456101628e-13 relative error 5.727481944827063e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) 2.0215128191844047 y[1] (numeric) 2.0215128191845206 absolute error 1.1590728377086634e-13 relative error 5.733690267550717e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) 2.02707398664786 y[1] (numeric) 2.0270739866479768 absolute error 1.1679546219056647e-13 relative error 5.761775986465559e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) 2.0326338972962357 y[1] (numeric) 2.0326338972963525 absolute error 1.1679546219056647e-13 relative error 5.746015666959268e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) 2.038192556746589 y[1] (numeric) 2.0381925567467056 absolute error 1.1679546219056647e-13 relative error 5.730344849114656e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) 2.0437499705784057 y[1] (numeric) 2.043749970578523 absolute error 1.1723955140041653e-13 relative error 5.736491894223065e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) 2.049306144333933 y[1] (numeric) 2.04930614433405 absolute error 1.1723955140041653e-13 relative error 5.720938851648338e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) 2.0548610835185106 y[1] (numeric) 2.054861083518628 absolute error 1.1723955140041653e-13 relative error 5.705473345169827e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) 2.060414793600898 y[1] (numeric) 2.0604147936010158 absolute error 1.176836406102666e-13 relative error 5.711648012611867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) 2.065967280013598 y[1] (numeric) 2.0659672800137163 absolute error 1.1812772982011666e-13 relative error 5.717792869369119e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) 2.0715185481531764 y[1] (numeric) 2.0715185481532954 absolute error 1.1901590823981678e-13 relative error 5.745346009376705e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) 2.0770686033805763 y[1] (numeric) 2.0770686033806958 absolute error 1.1945999744966684e-13 relative error 5.751374665970938e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) 2.0826174510214344 y[1] (numeric) 2.0826174510215547 absolute error 1.2034817586936697e-13 relative error 5.778698138265448e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) 2.0881650963663887 y[1] (numeric) 2.0881650963665086 absolute error 1.199040866595169e-13 relative error 5.742078864748852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) 2.0937115446713834 y[1] (numeric) 2.0937115446715038 absolute error 1.2034817586936697e-13 relative error 5.7480781522010525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) 2.0992568011579724 y[1] (numeric) 2.0992568011580937 absolute error 1.212363542890671e-13 relative error 5.775203596920197e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) 2.104800871013621 y[1] (numeric) 2.104800871013743 absolute error 1.2212453270876722e-13 relative error 5.8021893847827525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) 2.1103437593919976 y[1] (numeric) 2.11034375939212 absolute error 1.2256862191861728e-13 relative error 5.807993194148143e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) 2.1158854714132693 y[1] (numeric) 2.115885471413392 absolute error 1.2256862191861728e-13 relative error 5.7927814891015666e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) 2.1214260121643926 y[1] (numeric) 2.121426012164515 absolute error 1.2256862191861728e-13 relative error 5.777652447730958e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) 2.126965386699397 y[1] (numeric) 2.1269653866995206 absolute error 1.234568003383174e-13 relative error 5.804363395395747e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) 2.132503600039672 y[1] (numeric) 2.1325036000397963 absolute error 1.2434497875801753e-13 relative error 5.830938749913683e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) 2.1380406571742436 y[1] (numeric) 2.138040657174369 absolute error 1.2523315717771766e-13 relative error 5.8573795946066305e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) 2.143576563060056 y[1] (numeric) 2.143576563060182 absolute error 1.2612133559741778e-13 relative error 5.883687001007964e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) 2.1491113226222427 y[1] (numeric) 2.1491113226223697 absolute error 1.270095140171179e-13 relative error 5.909862029024489e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) 2.1546449407544004 y[1] (numeric) 2.154644940754528 absolute error 1.2745360322696797e-13 relative error 5.915294943321054e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) 2.160177422318856 y[1] (numeric) 2.160177422318984 absolute error 1.2789769243681803e-13 relative error 5.92070313833414e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) 2.165708772146934 y[1] (numeric) 2.1657087721470623 absolute error 1.283417816466681e-13 relative error 5.926086798800696e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) 2.1712389950392175 y[1] (numeric) 2.171238995039347 absolute error 1.2967404927621828e-13 relative error 5.972352632413738e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) 2.1767680957658113 y[1] (numeric) 2.176768095765941 absolute error 1.2967404927621828e-13 relative error 5.957182555572026e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) 2.182296079066597 y[1] (numeric) 2.182296079066727 absolute error 1.3011813848606835e-13 relative error 5.962442023069664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) 2.1878229496514874 y[1] (numeric) 2.187822949651619 absolute error 1.3145040611561853e-13 relative error 6.008274396086673e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) 2.1933487122006814 y[1] (numeric) 2.193348712200814 absolute error 1.3278267374516872e-13 relative error 6.053878847743373e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) 2.198873371364911 y[1] (numeric) 2.1988733713650452 absolute error 1.341149413747189e-13 relative error 6.099257152378423e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) 2.2043969317656895 y[1] (numeric) 2.204396931765824 absolute error 1.3455903058456897e-13 relative error 6.1041198454576495e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) 2.2099193979955536 y[1] (numeric) 2.2099193979956886 absolute error 1.3500311979441904e-13 relative error 6.108961255187402e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) 2.2154407746183082 y[1] (numeric) 2.215440774618444 absolute error 1.3589129821411916e-13 relative error 6.133826720668327e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) 2.220961066169264 y[1] (numeric) 2.2209610661694 absolute error 1.3633538742396922e-13 relative error 6.138576200217768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) 2.2264802771554733 y[1] (numeric) 2.226480277155609 absolute error 1.3589129821411916e-13 relative error 6.103413518117142e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) 2.2319984120559657 y[1] (numeric) 2.231998412056102 absolute error 1.3633538742396922e-13 relative error 6.1082206280956224e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) 2.2375154753219797 y[1] (numeric) 2.2375154753221165 absolute error 1.3677947663381929e-13 relative error 6.113006955365823e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) 2.243031471377192 y[1] (numeric) 2.2430314713773303 absolute error 1.3811174426336947e-13 relative error 6.1573698820449745e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) 2.248546404617944 y[1] (numeric) 2.2485464046180828 absolute error 1.3855583347321954e-13 relative error 6.1620179680820014e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) 2.2540602794134674 y[1] (numeric) 2.254060279413607 absolute error 1.3944401189291966e-13 relative error 6.186347950251118e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) 2.259573100106106 y[1] (numeric) 2.259573100106246 absolute error 1.3988810110276972e-13 relative error 6.190908410805598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) 2.265084871011537 y[1] (numeric) 2.265084871011677 absolute error 1.3988810110276972e-13 relative error 6.175843691026853e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) 2.2705955964189863 y[1] (numeric) 2.2705955964191262 absolute error 1.3988810110276972e-13 relative error 6.160854945873708e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) 2.276105280591448 y[1] (numeric) 2.2761052805915885 absolute error 1.4033219031261979e-13 relative error 6.165452517036222e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) 2.2816139277658944 y[1] (numeric) 2.2816139277660348 absolute error 1.4033219031261979e-13 relative error 6.1505668686914945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) 2.287121542153489 y[1] (numeric) 2.287121542153631 absolute error 1.4166445794216997e-13 relative error 6.194006541899068e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) 2.2926281279397966 y[1] (numeric) 2.292628127939939 absolute error 1.425526363618701e-13 relative error 6.217869990540981e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) 2.298133689284988 y[1] (numeric) 2.298133689285131 absolute error 1.4299672557172016e-13 relative error 6.222297955877856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) 2.303638230324047 y[1] (numeric) 2.303638230324191 absolute error 1.4432899320127035e-13 relative error 6.265262978422092e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) 2.3091417551669715 y[1] (numeric) 2.3091417551671167 absolute error 1.4521717162097048e-13 relative error 6.288794150295463e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) 2.314644267898977 y[1] (numeric) 2.3146442678991224 absolute error 1.4521717162097048e-13 relative error 6.273844047439107e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) 2.320145772580693 y[1] (numeric) 2.3201457725808385 absolute error 1.4566126083082054e-13 relative error 6.278108149592767e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) 2.3256462732483607 y[1] (numeric) 2.3256462732485064 absolute error 1.4566126083082054e-13 relative error 6.263259486463833e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) 2.331145773914028 y[1] (numeric) 2.3311457739141748 absolute error 1.4654943925052066e-13 relative error 6.286584086265098e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) 2.3366442785657435 y[1] (numeric) 2.336644278565891 absolute error 1.474376176702208e-13 relative error 6.309801582666213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) 2.3421417911677453 y[1] (numeric) 2.3421417911678937 absolute error 1.4832579608992091e-13 relative error 6.332912748889068e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) 2.347638315660652 y[1] (numeric) 2.347638315660801 absolute error 1.4876988529977098e-13 relative error 6.337001926887764e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) 2.3531338559616497 y[1] (numeric) 2.3531338559617985 absolute error 1.4876988529977098e-13 relative error 6.322202407774782e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) 2.3586284159646755 y[1] (numeric) 2.3586284159648243 absolute error 1.4876988529977098e-13 relative error 6.307474475114568e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) 2.3641219995406044 y[1] (numeric) 2.3641219995407536 absolute error 1.4921397450962104e-13 relative error 6.311602131303556e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) 2.3696146105374285 y[1] (numeric) 2.3696146105375786 absolute error 1.5010215292932116e-13 relative error 6.334454229891755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) 2.375106252780438 y[1] (numeric) 2.3751062527805886 absolute error 1.5054624213917123e-13 relative error 6.338505570558497e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) 2.3805969300723997 y[1] (numeric) 2.380596930072551 absolute error 1.5143442055887135e-13 relative error 6.3611953223121175e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) 2.3860866461937325 y[1] (numeric) 2.3860866461938848 absolute error 1.5232259897857148e-13 relative error 6.383783221852205e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) 2.3915754049026825 y[1] (numeric) 2.3915754049028366 absolute error 1.5409895581797173e-13 relative error 6.443407784762793e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) 2.3970632099354976 y[1] (numeric) 2.397063209935652 absolute error 1.545430450278218e-13 relative error 6.4471827187227315e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) 2.402550065006596 y[1] (numeric) 2.4025500650067504 absolute error 1.545430450278218e-13 relative error 6.432458881034703e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) 2.408035973808738 y[1] (numeric) 2.408035973808893 absolute error 1.5498713423767185e-13 relative error 6.436246631005769e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) 2.413520940013194 y[1] (numeric) 2.4135209400133495 absolute error 1.5543122344752192e-13 relative error 6.440019677089365e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) 2.41900496726991 y[1] (numeric) 2.4190049672700664 absolute error 1.5631940186722204e-13 relative error 6.462136456199351e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) 2.4244880592076727 y[1] (numeric) 2.42448805920783 absolute error 1.5720758028692217e-13 relative error 6.4841556835011965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) 2.429970219434274 y[1] (numeric) 2.429970219434431 absolute error 1.5720758028692217e-13 relative error 6.469527034924814e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) 2.4354514515366694 y[1] (numeric) 2.435451451536827 absolute error 1.5765166949677223e-13 relative error 6.4732010731439765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) 2.440931759081142 y[1] (numeric) 2.440931759081301 absolute error 1.5898393712632242e-13 relative error 6.513247924070189e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) 2.4464111456134594 y[1] (numeric) 2.4464111456136197 absolute error 1.603162047558726e-13 relative error 6.553117820907895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) 2.45188961465903 y[1] (numeric) 2.4518896146591906 absolute error 1.6076029396572267e-13 relative error 6.556587743778942e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) 2.4573671697230592 y[1] (numeric) 2.457367169723221 absolute error 1.616484723854228e-13 relative error 6.578116383138637e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) 2.462843814290704 y[1] (numeric) 2.4628438142908653 absolute error 1.6120438317557273e-13 relative error 6.545457013562161e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) 2.468319551827225 y[1] (numeric) 2.4683195518273875 absolute error 1.6253665080512292e-13 relative error 6.584911207497497e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) 2.4737943857781377 y[1] (numeric) 2.4737943857783002 absolute error 1.6253665080512292e-13 relative error 6.570337928630905e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) 2.479268319569362 y[1] (numeric) 2.4792683195695253 absolute error 1.6342482922482304e-13 relative error 6.591655608022662e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) 2.484741356607371 y[1] (numeric) 2.484741356607535 absolute error 1.6431300764452317e-13 relative error 6.612881747534227e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) 2.490213500279337 y[1] (numeric) 2.4902135002795025 absolute error 1.6564527527407336e-13 relative error 6.651850343574649e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) 2.495684753953279 y[1] (numeric) 2.4956847539534452 absolute error 1.6608936448392342e-13 relative error 6.6550618711289656e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) 2.501155120978205 y[1] (numeric) 2.501155120978371 absolute error 1.6608936448392342e-13 relative error 6.640506344083355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) 2.5066246046842546 y[1] (numeric) 2.506624604684421 absolute error 1.6653345369377348e-13 relative error 6.6437333050415324e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) 2.512093208382842 y[1] (numeric) 2.512093208383009 absolute error 1.674216321134736e-13 relative error 6.664626597245218e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) 2.5175609353667943 y[1] (numeric) 2.517560935366962 absolute error 1.6786572132332367e-13 relative error 6.667791788676868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) 2.5230277889104924 y[1] (numeric) 2.5230277889106616 absolute error 1.6919798895287386e-13 relative error 6.706148449753613e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) 2.528493772270007 y[1] (numeric) 2.5284937722701777 absolute error 1.7053025658242404e-13 relative error 6.744341570172309e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) 2.5339588886832365 y[1] (numeric) 2.533958888683408 absolute error 1.7141843500212417e-13 relative error 6.764846729269598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) 2.5394231413700394 y[1] (numeric) 2.5394231413702113 absolute error 1.7186252421197423e-13 relative error 6.767778138748984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) 2.5448865335323694 y[1] (numeric) 2.5448865335325426 absolute error 1.7319479184152442e-13 relative error 6.8055997609105776e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) 2.5503490683544094 y[1] (numeric) 2.5503490683545835 absolute error 1.7408297026122455e-13 relative error 6.825848760128748e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) 2.5558107490027 y[1] (numeric) 2.555810749002875 absolute error 1.7497114868092467e-13 relative error 6.846013490991066e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) 2.561271578626272 y[1] (numeric) 2.5612715786264477 absolute error 1.758593271006248e-13 relative error 6.866094504314387e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) 2.566731560356773 y[1] (numeric) 2.5667315603569496 absolute error 1.7674750552032492e-13 relative error 6.886092346008993e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) 2.5721906973085975 y[1] (numeric) 2.5721906973087743 absolute error 1.7674750552032492e-13 relative error 6.871477519348159e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) 2.5776489925790123 y[1] (numeric) 2.5776489925791894 absolute error 1.7719159473017498e-13 relative error 6.874155295787177e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) 2.5831064492482807 y[1] (numeric) 2.5831064492484583 absolute error 1.7763568394002505e-13 relative error 6.876823988098495e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) 2.588563070379789 y[1] (numeric) 2.588563070379968 absolute error 1.7896795156957523e-13 relative error 6.913795287333579e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) 2.594018859020167 y[1] (numeric) 2.5940188590203466 absolute error 1.794120407794253e-13 relative error 6.916373801815543e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) 2.599473818199413 y[1] (numeric) 2.5994738181995927 absolute error 1.7985612998927536e-13 relative error 6.918943700454616e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) 2.6049279509310144 y[1] (numeric) 2.604927950931192 absolute error 1.7763568394002505e-13 relative error 6.819216780123886e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) 2.610381260212061 y[1] (numeric) 2.610381260212237 absolute error 1.758593271006248e-13 relative error 6.736921145623701e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) 2.615833749023373 y[1] (numeric) 2.615833749023546 absolute error 1.7319479184152442e-13 relative error 6.62101679459511e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) 2.6212854203296123 y[1] (numeric) 2.621285420329783 absolute error 1.7053025658242404e-13 relative error 6.505596653453358e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) 2.6267362770794014 y[1] (numeric) 2.6267362770795715 absolute error 1.7008616737257398e-13 relative error 6.475190100229182e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) 2.6321863222054405 y[1] (numeric) 2.632186322205608 absolute error 1.674216321134736e-13 relative error 6.36055398894389e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) 2.6376355586246176 y[1] (numeric) 2.6376355586247837 absolute error 1.6608936448392342e-13 relative error 6.296903449790081e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) 2.6430839892381264 y[1] (numeric) 2.64308398923829 absolute error 1.6342482922482304e-13 relative error 6.183111467143749e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) 2.6485316169315753 y[1] (numeric) 2.6485316169317374 absolute error 1.6209256159527285e-13 relative error 6.120091622053705e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) 2.6539784445751007 y[1] (numeric) 2.653978444575262 absolute error 1.6120438317557273e-13 relative error 6.074065277549057e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) 2.659424475023478 y[1] (numeric) 2.6594244750236373 absolute error 1.5942802633617248e-13 relative error 5.99483188311881e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) 2.6648697111162285 y[1] (numeric) 2.6648697111163857 absolute error 1.5720758028692217e-13 relative error 5.8992595259403115e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) 2.6703141556777306 y[1] (numeric) 2.6703141556778855 absolute error 1.5498713423767185e-13 relative error 5.8040786664794444e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) 2.6757578115173244 y[1] (numeric) 2.675757811517478 absolute error 1.5365486660812167e-13 relative error 5.742480352546915e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) 2.681200681429422 y[1] (numeric) 2.681200681429574 absolute error 1.5232259897857148e-13 relative error 5.681133830585337e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) 2.686642768193609 y[1] (numeric) 2.68664276819376 absolute error 1.509903313490213e-13 relative error 5.620037510626734e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) 2.692084074574753 y[1] (numeric) 2.6920840745749026 absolute error 1.496580637194711e-13 relative error 5.5591898162805855e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) 2.697524603323105 y[1] (numeric) 2.6975246033232523 absolute error 1.474376176702208e-13 relative error 5.4656635008478165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) 2.7029643571744018 y[1] (numeric) 2.702964357174547 absolute error 1.4521717162097048e-13 relative error 5.372515225201718e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y[1] (closed_form) 2.7084033388499695 y[1] (numeric) 2.7084033388501134 absolute error 1.438849039914203e-13 relative error 5.312536058699295e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) 2.713841551056825 y[1] (numeric) 2.713841551056967 absolute error 1.4210854715202004e-13 relative error 5.236434938387618e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y[1] (closed_form) 2.7192789964877737 y[1] (numeric) 2.719278996487914 absolute error 1.4033219031261979e-13 relative error 5.16063965830182e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) 2.724715677821511 y[1] (numeric) 2.7247156778216493 absolute error 1.3811174426336947e-13 relative error 5.068849766144914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) 2.7301515977227195 y[1] (numeric) 2.730151597722856 absolute error 1.3633538742396922e-13 relative error 4.993692934036689e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) 2.7355867588421674 y[1] (numeric) 2.7355867588423024 absolute error 1.3500311979441904e-13 relative error 4.935069939129216e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) 2.7410211638168045 y[1] (numeric) 2.7410211638169377 absolute error 1.3322676295501878e-13 relative error 4.860479178843837e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y[1] (closed_form) 2.7464548152698582 y[1] (numeric) 2.74645481526999 absolute error 1.318944953254686e-13 relative error 4.802354460454105e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) 2.7518877158109296 y[1] (numeric) 2.7518877158110597 absolute error 1.3011813848606835e-13 relative error 4.728322952222089e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) 2.757319868036086 y[1] (numeric) 2.7573198680362134 absolute error 1.2745360322696797e-13 relative error 4.622372786866668e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) 2.762751274527955 y[1] (numeric) 2.7627512745280804 absolute error 1.2523315717771766e-13 relative error 4.532914646799504e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) 2.7681819378558186 y[1] (numeric) 2.7681819378559425 absolute error 1.2390088954816747e-13 relative error 4.475894010208692e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) 2.773611860575702 y[1] (numeric) 2.773611860575824 absolute error 1.2212453270876722e-13 relative error 4.403086619460105e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) 2.7790410452304677 y[1] (numeric) 2.779041045230588 absolute error 1.2034817586936697e-13 relative error 4.330564893091977e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) 2.784469494349903 y[1] (numeric) 2.784469494350022 absolute error 1.1901590823981678e-13 relative error 4.2742758892247704e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) 2.789897210450812 y[1] (numeric) 2.7898972104509294 absolute error 1.1723955140041653e-13 relative error 4.202289280094018e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) 2.795324196037103 y[1] (numeric) 2.795324196037218 absolute error 1.1501910535116622e-13 relative error 4.114696446094782e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) 2.8007504535998757 y[1] (numeric) 2.800750453599988 absolute error 1.1235457009206584e-13 relative error 4.011588035187271e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) 2.8061759856175104 y[1] (numeric) 2.8061759856176205 absolute error 1.1013412404281553e-13 relative error 3.9247048156382844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 2.811600794555752 y[1] (numeric) 2.811600794555861 absolute error 1.0880185641326534e-13 relative error 3.869747676268409e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 2.8170248828677984 y[1] (numeric) 2.8170248828679054 absolute error 1.0702549957386509e-13 relative error 3.7992387012538765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) 2.8224482529943837 y[1] (numeric) 2.8224482529944885 absolute error 1.0480505352461478e-13 relative error 3.7132674943969404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 2.827870907363862 y[1] (numeric) 2.8278709073639656 absolute error 1.0347278589506459e-13 relative error 3.659034987262619e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 2.833292848392294 y[1] (numeric) 2.8332928483923956 absolute error 1.0169642905566434e-13 relative error 3.5893370187049435e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 2.838714078483526 y[1] (numeric) 2.838714078483626 absolute error 9.992007221626409e-14 relative error 3.519906177717009e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) 2.8441346000292738 y[1] (numeric) 2.8441346000293715 absolute error 9.769962616701378e-14 relative error 3.4351266696733755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) 2.8495544154092056 y[1] (numeric) 2.8495544154093015 absolute error 9.592326932761353e-14 relative error 3.366255047066319e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) 2.8549735269910204 y[1] (numeric) 2.8549735269911145 absolute error 9.414691248821327e-14 relative error 3.2976457258936044e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) 2.8603919371305295 y[1] (numeric) 2.8603919371306223 absolute error 9.281464485866309e-14 relative error 3.2448226291594262e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) 2.865809648171736 y[1] (numeric) 2.8658096481718274 absolute error 9.14823772291129e-14 relative error 3.1922000572325083e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) 2.871226662446912 y[1] (numeric) 2.8712266624470018 absolute error 8.970602038971265e-14 relative error 3.124309953059001e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) 2.876642982276679 y[1] (numeric) 2.876642982276767 absolute error 8.79296635503124e-14 relative error 3.0566762748125835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) 2.8820586099700845 y[1] (numeric) 2.88205860997017 absolute error 8.570921750106208e-14 relative error 2.9738887753553262e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) 2.887473547824677 y[1] (numeric) 2.8874735478247615 absolute error 8.43769498715119e-14 relative error 2.9221722199006318e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) 2.8928877981265866 y[1] (numeric) 2.892887798126669 absolute error 8.260059303211165e-14 relative error 2.8552988845818077e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) 2.898301363150595 y[1] (numeric) 2.8983013631506758 absolute error 8.08242361927114e-14 relative error 2.7886760576495574e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) 2.9037142451602147 y[1] (numeric) 2.9037142451602946 absolute error 7.993605777301127e-14 relative error 2.7528899548654016e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) 2.909126446407763 y[1] (numeric) 2.90912644640784 absolute error 7.72715225139109e-14 relative error 2.6561761386936974e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) 2.9145379691344315 y[1] (numeric) 2.9145379691345075 absolute error 7.593925488436071e-14 relative error 2.605533216193213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) 2.919948815570366 y[1] (numeric) 2.919948815570439 absolute error 7.283063041541027e-14 relative error 2.494243393139203e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) 2.925358987934733 y[1] (numeric) 2.9253589879348043 absolute error 7.149836278586008e-14 relative error 2.4440885060857793e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) 2.9307684884357945 y[1] (numeric) 2.930768488435864 absolute error 6.927791673660977e-14 relative error 2.3638140306873806e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) 2.936177319270979 y[1] (numeric) 2.9361773192710467 absolute error 6.794564910705958e-14 relative error 2.314085346995656e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) 2.941585482626952 y[1] (numeric) 2.9415854826270174 absolute error 6.52811138479592e-14 relative error 2.219249252945748e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) 2.9469929806796866 y[1] (numeric) 2.9469929806797506 absolute error 6.394884621840902e-14 relative error 2.1699694107740977e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) 2.952399815594532 y[1] (numeric) 2.952399815594595 absolute error 6.306066779870889e-14 relative error 2.1359121981251786e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) 2.9578059895262845 y[1] (numeric) 2.957805989526346 absolute error 6.17284001691587e-14 relative error 2.0869658249304235e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) 2.9632115046192533 y[1] (numeric) 2.9632115046193133 absolute error 5.995204332975845e-14 relative error 2.0232117496945858e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) 2.968616363007331 y[1] (numeric) 2.9686163630073885 absolute error 5.773159728050814e-14 relative error 1.944730818030783e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) 2.974020566814059 y[1] (numeric) 2.9740205668141155 absolute error 5.639932965095795e-14 relative error 1.896400121784502e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) 2.979424118152696 y[1] (numeric) 2.979424118152751 absolute error 5.5067062021407764e-14 relative error 1.8482451587171306e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) 2.9848270191262833 y[1] (numeric) 2.984827019126337 absolute error 5.3734794391857577e-14 relative error 1.8002649415706104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) 2.9902292718277104 y[1] (numeric) 2.9902292718277623 absolute error 5.1958437552457326e-14 relative error 1.7376071474512355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) 2.9956308783397807 y[1] (numeric) 2.99563087833983 absolute error 4.929390229335695e-14 relative error 1.6455265783839262e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) 3.001031840735276 y[1] (numeric) 3.0010318407353234 absolute error 4.75175454539567e-14 relative error 1.5833735853437175e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) 3.0064321610770213 y[1] (numeric) 3.0064321610770666 absolute error 4.529709940470639e-14 relative error 1.5066729258404155e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) 3.0118318414179472 y[1] (numeric) 3.011831841417991 absolute error 4.39648317751562e-14 relative error 1.4597372658912422e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) 3.0172308838011546 y[1] (numeric) 3.0172308838011968 absolute error 4.218847493575595e-14 relative error 1.398251461704722e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) 3.022629290259976 y[1] (numeric) 3.0226292902600167 absolute error 4.085620730620576e-14 relative error 1.3516777408946408e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) 3.028027062818038 y[1] (numeric) 3.0280270628180768 absolute error 3.863576125695545e-14 relative error 1.2759384396320096e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) 3.033424203489324 y[1] (numeric) 3.0334242034893615 absolute error 3.730349362740526e-14 relative error 1.2297486643805157e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) 3.038820714278235 y[1] (numeric) 3.03882071427827 absolute error 3.5083047578154947e-14 relative error 1.1544954729745447e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) 3.0442165971796475 y[1] (numeric) 3.0442165971796813 absolute error 3.375077994860476e-14 relative error 1.1086852354682512e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) 3.049611854178979 y[1] (numeric) 3.0496118541790103 absolute error 3.108624468950438e-14 relative error 1.0193508608941799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) 3.0550064872522436 y[1] (numeric) 3.0550064872522724 absolute error 2.886579864025407e-14 relative error 9.448686528393189e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) 3.0604004983661115 y[1] (numeric) 3.0604004983661395 absolute error 2.7977620220553945e-14 relative error 9.14181664638032e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) 3.065793889477971 y[1] (numeric) 3.065793889477997 absolute error 2.5757174171303632e-14 relative error 8.401469602931932e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) 3.0711866625359834 y[1] (numeric) 3.071186662536007 absolute error 2.353672812205332e-14 relative error 7.663724386787432e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) 3.076578819479142 y[1] (numeric) 3.0765788194791632 absolute error 2.1316282072803006e-14 relative error 6.928566867144917e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) 3.08197036223733 y[1] (numeric) 3.0819703622373495 absolute error 1.9539925233402755e-14 relative error 6.340075645379638e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) 3.0873612927313774 y[1] (numeric) 3.087361292731395 absolute error 1.7763568394002505e-14 relative error 5.753640960591023e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) 3.0927516128731174 y[1] (numeric) 3.0927516128731325 absolute error 1.509903313490213e-14 relative error 4.882071056742693e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) 3.0981413245654417 y[1] (numeric) 3.0981413245654554 absolute error 1.3766765505351941e-14 relative error 4.44355633366174e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) 3.1035304297023583 y[1] (numeric) 3.10353042970237 absolute error 1.1546319456101628e-14 relative error 3.7203822284445813e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) 3.1089189301690436 y[1] (numeric) 3.1089189301690534 absolute error 9.769962616701378e-15 relative error 3.142559467181136e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) 3.1143068278419 y[1] (numeric) 3.1143068278419084 absolute error 8.43769498715119e-15 relative error 2.709333233231294e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) 3.119694124588609 y[1] (numeric) 3.1196941245886154 absolute error 6.217248937900877e-15 relative error 1.9929033711664724e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) 3.1250808222681856 y[1] (numeric) 3.1250808222681896 absolute error 3.9968028886505635e-15 relative error 1.2789438468825526e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) 3.130466922731031 y[1] (numeric) 3.1304669227310336 absolute error 2.6645352591003757e-15 relative error 8.511622466771906e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) 3.1358524278189863 y[1] (numeric) 3.1358524278189877 absolute error 1.3322676295501878e-15 relative error 4.248502313856625e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) / ( 0.2 * x + 0.3 ) ; 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%