##############ECHO OF PROBLEM################# ##############temp/diff0postode.ode################# diff ( y , x , 1 ) = y ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-5.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=false # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #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(exp(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -5.0 y[1] (closed_form) 0.006737946999085467 y[1] (numeric) 0.006737946999085467 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] -4.989999999999997 y[1] (closed_form) 0.006805664492230567 y[1] (numeric) 0.006805664492230545 absolute error 2.2551405187698492e-17 relative error 3.3136228230826634e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.979999999999993 y[1] (closed_form) 0.006874062557496298 y[1] (numeric) 0.006874062557496253 absolute error 4.423544863740858e-17 relative error 6.435124537696994e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.96999999999999 y[1] (closed_form) 0.006943148034746182 y[1] (numeric) 0.0069431480347461145 absolute error 6.765421556309548e-17 relative error 9.74402608507377e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -4.959999999999987 y[1] (closed_form) 0.007012927832585517 y[1] (numeric) 0.007012927832585426 absolute error 9.107298248878237e-17 relative error 1.2986442276735322e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.949999999999983 y[1] (closed_form) 0.007083408929052238 y[1] (numeric) 0.007083408929052123 absolute error 1.1535911115245767e-16 relative error 1.6285818354961578e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.93999999999998 y[1] (closed_form) 0.007154598372314725 y[1] (numeric) 0.007154598372314584 absolute error 1.4051260155412137e-16 relative error 1.963948138554441e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.929999999999977 y[1] (closed_form) 0.007226503281376629 y[1] (numeric) 0.007226503281376463 absolute error 1.6566609195578508e-16 relative error 2.292479301610808e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.919999999999973 y[1] (closed_form) 0.007299130846788777 y[1] (numeric) 0.0072991308467885855 absolute error 1.9168694409543718e-16 relative error 2.6261612254802786e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.90999999999997 y[1] (closed_form) 0.007372488331368234 y[1] (numeric) 0.0073724883313680155 absolute error 2.185751579730777e-16 relative error 2.9647406431705143e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.899999999999967 y[1] (closed_form) 0.007446583070924589 y[1] (numeric) 0.007446583070924343 absolute error 2.454633718507182e-16 relative error 3.2963222126553245e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.889999999999963 y[1] (closed_form) 0.0075214224749935435 y[1] (numeric) 0.00752142247499327 absolute error 2.732189474663471e-16 relative error 3.632543556417919e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.87999999999996 y[1] (closed_form) 0.0075970140275778714 y[1] (numeric) 0.00759701402757757 absolute error 3.0184188481996443e-16 relative error 3.973164768740063e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.869999999999957 y[1] (closed_form) 0.007673365287895823 y[1] (numeric) 0.007673365287895493 absolute error 3.3046482217358175e-16 relative error 4.3066478627684524e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.859999999999953 y[1] (closed_form) 0.007750483891137057 y[1] (numeric) 0.007750483891136698 absolute error 3.5908775952719907e-16 relative error 4.633101165952079e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.84999999999995 y[1] (closed_form) 0.007828377549226164 y[1] (numeric) 0.007828377549225777 absolute error 3.86843335142828e-16 relative error 4.941551844048037e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.839999999999947 y[1] (closed_form) 0.007907054051593863 y[1] (numeric) 0.007907054051593443 absolute error 4.198030811863873e-16 relative error 5.309222353194431e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.829999999999943 y[1] (closed_form) 0.007986521265955957 y[1] (numeric) 0.007986521265955506 absolute error 4.510281037539698e-16 relative error 5.647366215332846e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.81999999999994 y[1] (closed_form) 0.008066787139100102 y[1] (numeric) 0.008066787139099621 absolute error 4.805184028455756e-16 relative error 5.956750743012419e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.8099999999999365 y[1] (closed_form) 0.008147859697680502 y[1] (numeric) 0.008147859697679989 absolute error 5.134781488891349e-16 relative error 6.302000377293066e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.799999999999933 y[1] (closed_form) 0.008229747049020578 y[1] (numeric) 0.00822974704902003 absolute error 5.48172618408671e-16 relative error 6.660868373517131e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.78999999999993 y[1] (closed_form) 0.008312457381923702 y[1] (numeric) 0.008312457381923122 absolute error 5.793976409762536e-16 relative error 6.9702329209676754e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.7799999999999265 y[1] (closed_form) 0.00839599896749209 y[1] (numeric) 0.008395998967491474 absolute error 6.158268339717665e-16 relative error 7.334765480035734e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.769999999999923 y[1] (closed_form) 0.008480380159953916 y[1] (numeric) 0.008480380159953265 absolute error 6.505213034913027e-16 relative error 7.67089789869559e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.75999999999992 y[1] (closed_form) 0.008565609397498746 y[1] (numeric) 0.00856560939749806 absolute error 6.852157730108388e-16 relative error 7.999614986073606e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.7499999999999165 y[1] (closed_form) 0.008651695203121356 y[1] (numeric) 0.008651695203120636 absolute error 7.199102425303749e-16 relative error 8.32103103066606e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.739999999999913 y[1] (closed_form) 0.00873864618547405 y[1] (numeric) 0.008738646185473294 absolute error 7.563394355258879e-16 relative error 8.655109950361932e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.72999999999991 y[1] (closed_form) 0.008826471039727522 y[1] (numeric) 0.00882647103972673 absolute error 7.927686285214008e-16 relative error 8.981716758069984e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.7199999999999065 y[1] (closed_form) 0.008915178548440384 y[1] (numeric) 0.008915178548439552 absolute error 8.326672684688674e-16 relative error 9.339883255782171e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.709999999999903 y[1] (closed_form) 0.00900477758243743 y[1] (numeric) 0.00900477758243656 absolute error 8.708311849403572e-16 relative error 9.670768400085668e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.6999999999999 y[1] (closed_form) 0.009095277101696728 y[1] (numeric) 0.009095277101695819 absolute error 9.08995101411847e-16 relative error 9.994144117305381e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -4.6899999999998965 y[1] (closed_form) 0.009186686156245618 y[1] (numeric) 0.00918668615624467 absolute error 9.488937413593135e-16 relative error 1.0329010104630633e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.679999999999893 y[1] (closed_form) 0.009279013887065733 y[1] (numeric) 0.009279013887064744 absolute error 9.8879238130678e-16 relative error 1.065622266914682e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.66999999999989 y[1] (closed_form) 0.00937226952700709 y[1] (numeric) 0.009372269527006061 absolute error 1.0286910212542466e-15 relative error 1.0975900962834831e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.6599999999998865 y[1] (closed_form) 0.009466462401711399 y[1] (numeric) 0.009466462401710328 absolute error 1.07032438467769e-15 relative error 1.1306487463407565e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.649999999999883 y[1] (closed_form) 0.009561601930544625 y[1] (numeric) 0.009561601930543511 absolute error 1.1136924715771102e-15 relative error 1.1647551107721912e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.63999999999988 y[1] (closed_form) 0.009657697627538936 y[1] (numeric) 0.00965769762753778 absolute error 1.1553258350005535e-15 relative error 1.1962745983122734e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.629999999999876 y[1] (closed_form) 0.009754759102344107 y[1] (numeric) 0.009754759102342908 absolute error 1.1986939218999737e-15 relative error 1.2288298555849757e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.619999999999873 y[1] (closed_form) 0.009852796061188508 y[1] (numeric) 0.009852796061187268 absolute error 1.240327285323417e-15 relative error 1.25885817347751e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.60999999999987 y[1] (closed_form) 0.009951818307849719 y[1] (numeric) 0.009951818307848434 absolute error 1.285430095698814e-15 relative error 1.291653500833011e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.599999999999866 y[1] (closed_form) 0.010051835744634925 y[1] (numeric) 0.010051835744633593 absolute error 1.3322676295501878e-15 relative error 1.3253973337768411e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.589999999999863 y[1] (closed_form) 0.010152858373371152 y[1] (numeric) 0.010152858373369772 absolute error 1.3808398868775384e-15 relative error 1.3600503780287096e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.57999999999986 y[1] (closed_form) 0.01025489629640546 y[1] (numeric) 0.010254896296404034 absolute error 1.4259426972529354e-15 relative error 1.3904993829657311e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.569999999999856 y[1] (closed_form) 0.010357959717615188 y[1] (numeric) 0.010357959717613708 absolute error 1.4797191250082165e-15 relative error 1.4285816563775036e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.559999999999853 y[1] (closed_form) 0.010462058943428337 y[1] (numeric) 0.010462058943426805 absolute error 1.5317608292875207e-15 relative error 1.4641103033066782e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.54999999999985 y[1] (closed_form) 0.010567204383854242 y[1] (numeric) 0.010567204383852658 absolute error 1.5838025335668249e-15 relative error 1.498790480466845e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.539999999999846 y[1] (closed_form) 0.010673406553524565 y[1] (numeric) 0.01067340655352293 absolute error 1.6341095143701523e-15 relative error 1.5310102788416112e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.529999999999843 y[1] (closed_form) 0.010780676072744778 y[1] (numeric) 0.010780676072743089 absolute error 1.6896206656014101e-15 relative error 1.5672678171576207e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.51999999999984 y[1] (closed_form) 0.010889023668556192 y[1] (numeric) 0.010889023668554449 absolute error 1.7433970933566911e-15 relative error 1.6010591458176647e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.509999999999836 y[1] (closed_form) 0.010998460175808678 y[1] (numeric) 0.010998460175806883 absolute error 1.7954387976359953e-15 relative error 1.6324456050539665e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.499999999999833 y[1] (closed_form) 0.011108996538244162 y[1] (numeric) 0.011108996538242306 absolute error 1.8561541192951836e-15 relative error 1.6708566907057107e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.48999999999983 y[1] (closed_form) 0.011220643809590997 y[1] (numeric) 0.011220643809589086 absolute error 1.9116652705264414e-15 relative error 1.7037037294530458e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.479999999999826 y[1] (closed_form) 0.011333413154669361 y[1] (numeric) 0.01133341315466739 absolute error 1.970645868709653e-15 relative error 1.738792931851909e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.469999999999823 y[1] (closed_form) 0.011447315850507735 y[1] (numeric) 0.011447315850505707 absolute error 2.0278917434168875e-15 relative error 1.7714997733088164e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.45999999999982 y[1] (closed_form) 0.011562363287470621 y[1] (numeric) 0.011562363287468534 absolute error 2.086872341600099e-15 relative error 1.8048839062698423e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.449999999999816 y[1] (closed_form) 0.01167856697039759 y[1] (numeric) 0.011678566970395444 absolute error 2.1458529397833104e-15 relative error 1.8374282951174925e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.439999999999813 y[1] (closed_form) 0.011795938519753772 y[1] (numeric) 0.011795938519751567 absolute error 2.204833537966522e-15 relative error 1.8691463458157677e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.42999999999981 y[1] (closed_form) 0.011914489672791911 y[1] (numeric) 0.011914489672789644 absolute error 2.267283583101687e-15 relative error 1.902963236670796e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.419999999999806 y[1] (closed_form) 0.012034232284726104 y[1] (numeric) 0.012034232284723773 absolute error 2.3314683517128287e-15 relative error 1.937363594578391e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.409999999999803 y[1] (closed_form) 0.012155178329917332 y[1] (numeric) 0.012155178329914933 absolute error 2.3991225672759242e-15 relative error 1.973745264905744e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.3999999999998 y[1] (closed_form) 0.012277339903070901 y[1] (numeric) 0.012277339903068438 absolute error 2.463307335887066e-15 relative error 2.0063852229674972e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.389999999999796 y[1] (closed_form) 0.012400729220445928 y[1] (numeric) 0.0124007292204434 absolute error 2.527492104498208e-15 relative error 2.0381802227654155e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.379999999999793 y[1] (closed_form) 0.012525358621076977 y[1] (numeric) 0.012525358621074381 absolute error 2.5951463200613034e-15 relative error 2.071913785920936e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.36999999999979 y[1] (closed_form) 0.012651240568007968 y[1] (numeric) 0.012651240568005304 absolute error 2.6645352591003757e-15 relative error 2.106145436707893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.359999999999786 y[1] (closed_form) 0.012778387649538496 y[1] (numeric) 0.012778387649535762 absolute error 2.733924198139448e-15 relative error 2.139490734762759e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.349999999999783 y[1] (closed_form) 0.01290681258048267 y[1] (numeric) 0.012906812580479867 absolute error 2.8033131371785203e-15 relative error 2.1719639296673553e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.33999999999978 y[1] (closed_form) 0.013036528203440607 y[1] (numeric) 0.013036528203437732 absolute error 2.8744367996935694e-15 relative error 2.2049097388789037e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.329999999999776 y[1] (closed_form) 0.013167547490082698 y[1] (numeric) 0.01316754749007975 absolute error 2.949029909160572e-15 relative error 2.2396197252234485e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.319999999999773 y[1] (closed_form) 0.013299883542446793 y[1] (numeric) 0.013299883542443772 absolute error 3.020153571675621e-15 relative error 2.270812042854926e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.30999999999977 y[1] (closed_form) 0.013433549594248403 y[1] (numeric) 0.013433549594245309 absolute error 3.094746681142624e-15 relative error 2.303744560907152e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.299999999999766 y[1] (closed_form) 0.013568559012204103 y[1] (numeric) 0.013568559012200934 absolute error 3.1693397906096266e-15 relative error 2.3357968873179503e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.289999999999763 y[1] (closed_form) 0.013704925297368196 y[1] (numeric) 0.013704925297364947 absolute error 3.2491370705045597e-15 relative error 2.3707805770590393e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.2799999999997596 y[1] (closed_form) 0.013842662086482833 y[1] (numeric) 0.013842662086479504 absolute error 3.328934350399493e-15 relative error 2.4048368222830135e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.269999999999756 y[1] (closed_form) 0.01398178315334171 y[1] (numeric) 0.013981783153338301 absolute error 3.408731630294426e-15 relative error 2.437980615855656e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.259999999999753 y[1] (closed_form) 0.014122302410167448 y[1] (numeric) 0.014122302410163958 absolute error 3.490263633665336e-15 relative error 2.4714551015084457e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.2499999999997495 y[1] (closed_form) 0.014264233909002827 y[1] (numeric) 0.014264233908999254 absolute error 3.573530360512223e-15 relative error 2.5052381945705476e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.239999999999746 y[1] (closed_form) 0.01440759184311601 y[1] (numeric) 0.014407591843112353 absolute error 3.656797087359109e-15 relative error 2.5381043044374816e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.229999999999743 y[1] (closed_form) 0.014552390548419872 y[1] (numeric) 0.014552390548416129 absolute error 3.74353326115795e-15 relative error 2.5724524425744126e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.2199999999997395 y[1] (closed_form) 0.014698644504905609 y[1] (numeric) 0.014698644504901775 absolute error 3.833738881908744e-15 relative error 2.608226139920079e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.209999999999736 y[1] (closed_form) 0.014846368338090749 y[1] (numeric) 0.014846368338086828 absolute error 3.920475055707584e-15 relative error 2.6406963416426722e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.199999999999733 y[1] (closed_form) 0.014995576820481712 y[1] (numeric) 0.014995576820477703 absolute error 4.008945952982401e-15 relative error 2.673418969456901e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.1899999999997295 y[1] (closed_form) 0.015146284873051082 y[1] (numeric) 0.015146284873046978 absolute error 4.1043557441611256e-15 relative error 2.7098102132383438e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.179999999999726 y[1] (closed_form) 0.015298507566729704 y[1] (numeric) 0.015298507566725506 absolute error 4.198030811863873e-15 relative error 2.7440786583610967e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.169999999999723 y[1] (closed_form) 0.015452260123913798 y[1] (numeric) 0.015452260123909508 absolute error 4.289971156090644e-15 relative error 2.7762742289404756e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.1599999999997195 y[1] (closed_form) 0.01560755791998721 y[1] (numeric) 0.015607557919982827 absolute error 4.3836462237933915e-15 relative error 2.8086688809782637e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.149999999999716 y[1] (closed_form) 0.015764416484858965 y[1] (numeric) 0.015764416484854486 absolute error 4.479056014972116e-15 relative error 2.8412444058897164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.139999999999713 y[1] (closed_form) 0.015922851504516264 y[1] (numeric) 0.015922851504511688 absolute error 4.576200529626817e-15 relative error 2.873983047778126e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.1299999999997095 y[1] (closed_form) 0.016082878822593103 y[1] (numeric) 0.016082878822588423 absolute error 4.6802839381854255e-15 relative error 2.9101033402120762e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.119999999999706 y[1] (closed_form) 0.016244514441954648 y[1] (numeric) 0.01624451444194986 absolute error 4.7878367936959876e-15 relative error 2.947356051055893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.109999999999703 y[1] (closed_form) 0.016407774526297526 y[1] (numeric) 0.016407774526292638 absolute error 4.888450755302642e-15 relative error 2.9793502753634795e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.099999999999699 y[1] (closed_form) 0.01657267540176623 y[1] (numeric) 0.016572675401761234 absolute error 4.9960036108132044e-15 relative error 3.01460294713837e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.089999999999696 y[1] (closed_form) 0.01673923355858572 y[1] (numeric) 0.016739233558580615 absolute error 5.1035564663237665e-15 relative error 3.048859106040791e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.079999999999693 y[1] (closed_form) 0.016907465652710472 y[1] (numeric) 0.016907465652705265 absolute error 5.207639874882375e-15 relative error 3.080083072088055e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.069999999999689 y[1] (closed_form) 0.017077388507490104 y[1] (numeric) 0.017077388507484786 absolute error 5.3186621773448906e-15 relative error 3.114447021576008e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.059999999999686 y[1] (closed_form) 0.017249019115351687 y[1] (numeric) 0.017249019115346258 absolute error 5.429684479807406e-15 relative error 3.14782217092853e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.049999999999683 y[1] (closed_form) 0.017422374639499038 y[1] (numeric) 0.017422374639493497 absolute error 5.540706782269922e-15 relative error 3.1802247953664937e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.039999999999679 y[1] (closed_form) 0.017597472415629034 y[1] (numeric) 0.01759747241562338 absolute error 5.655198531684391e-15 relative error 3.2136425039437926e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.029999999999676 y[1] (closed_form) 0.017774329953665204 y[1] (numeric) 0.017774329953659435 absolute error 5.7696902810988604e-15 relative error 3.246080328282139e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.019999999999673 y[1] (closed_form) 0.017952964939508733 y[1] (numeric) 0.01795296493950285 absolute error 5.88418203051333e-15 relative error 3.277554459856448e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -4.009999999999669 y[1] (closed_form) 0.018133395236807067 y[1] (numeric) 0.01813339523680106 absolute error 6.005612673831706e-15 relative error 3.3119074477798547e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9999999999996665 y[1] (closed_form) 0.01831563888874029 y[1] (numeric) 0.018315638888734175 absolute error 6.113165529342268e-15 relative error 3.3376752874836347e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9899999999996676 y[1] (closed_form) 0.018499714119825393 y[1] (numeric) 0.01849971411981924 absolute error 6.1547988927657116e-15 relative error 3.32696973201865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9799999999996687 y[1] (closed_form) 0.018685639337738962 y[1] (numeric) 0.018685639337732762 absolute error 6.1999017031411086e-15 relative error 3.318003516539735e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.96999999999967 y[1] (closed_form) 0.01887343313515772 y[1] (numeric) 0.018873433135151482 absolute error 6.238065619612598e-15 relative error 3.3052098020217814e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.959999999999671 y[1] (closed_form) 0.01906311429161791 y[1] (numeric) 0.019063114291611626 absolute error 6.283168429987995e-15 relative error 3.295982143248607e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.949999999999672 y[1] (closed_form) 0.01925470177539324 y[1] (numeric) 0.019254701775386913 absolute error 6.324801793411439e-15 relative error 3.284809012983151e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.939999999999673 y[1] (closed_form) 0.019448214745391747 y[1] (numeric) 0.019448214745385384 absolute error 6.3629657098829284e-15 relative error 3.2717479692528756e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.929999999999674 y[1] (closed_form) 0.019643672553071694 y[1] (numeric) 0.019643672553065285 absolute error 6.4080685202583254e-15 relative error 3.262154010633969e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9199999999996753 y[1] (closed_form) 0.01984109474437673 y[1] (numeric) 0.019841094744370277 absolute error 6.453171330633722e-15 relative error 3.2524270529289465e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.9099999999996764 y[1] (closed_form) 0.020040501061690502 y[1] (numeric) 0.020040501061684007 absolute error 6.494804694057166e-15 relative error 3.2408394750531754e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8999999999996775 y[1] (closed_form) 0.020241911445810917 y[1] (numeric) 0.020241911445804377 absolute error 6.539907504432563e-15 relative error 3.230874476425003e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8899999999996786 y[1] (closed_form) 0.020445346037944227 y[1] (numeric) 0.020445346037937646 absolute error 6.581540867856006e-15 relative error 3.2190899853890555e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8799999999996797 y[1] (closed_form) 0.02065082518171918 y[1] (numeric) 0.020650825181712552 absolute error 6.626643678231403e-15 relative error 3.2089001867574454e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.869999999999681 y[1] (closed_form) 0.020858369425221377 y[1] (numeric) 0.020858369425214705 absolute error 6.6717464886068e-15 relative error 3.198594459900353e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.859999999999682 y[1] (closed_form) 0.021067999523048133 y[1] (numeric) 0.021067999523041416 absolute error 6.716849298982197e-15 relative error 3.1881761206772605e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.849999999999683 y[1] (closed_form) 0.021279736438383916 y[1] (numeric) 0.021279736438377158 absolute error 6.7584826624056404e-15 relative error 3.176018031038598e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.839999999999684 y[1] (closed_form) 0.02149360134509671 y[1] (numeric) 0.02149360134508991 absolute error 6.800116025829084e-15 relative error 3.1637862434721204e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.829999999999685 y[1] (closed_form) 0.021709615629855405 y[1] (numeric) 0.021709615629848564 absolute error 6.841749389252527e-15 relative error 3.151483428312589e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8199999999996863 y[1] (closed_form) 0.021927800894268497 y[1] (numeric) 0.021927800894261607 absolute error 6.890321646579878e-15 relative error 3.142276637681837e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.8099999999996874 y[1] (closed_form) 0.02214817895704424 y[1] (numeric) 0.022148178957037305 absolute error 6.935424456955275e-15 relative error 3.131374579556329e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7999999999996885 y[1] (closed_form) 0.022370771856172565 y[1] (numeric) 0.022370771856165584 absolute error 6.980527267330672e-15 relative error 3.1203783723736816e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7899999999996896 y[1] (closed_form) 0.02259560185112888 y[1] (numeric) 0.022595601851121853 absolute error 7.025630077706069e-15 relative error 3.109290969098514e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7799999999996907 y[1] (closed_form) 0.022822691425100034 y[1] (numeric) 0.022822691425092963 absolute error 7.070732888081466e-15 relative error 3.098115273251771e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.769999999999692 y[1] (closed_form) 0.023052063287232673 y[1] (numeric) 0.023052063287225557 absolute error 7.115835698456863e-15 relative error 3.0868541396023107e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.759999999999693 y[1] (closed_form) 0.023283740374904154 y[1] (numeric) 0.023283740374896986 absolute error 7.167877402736167e-15 relative error 3.0784905205616786e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.749999999999694 y[1] (closed_form) 0.023517745856016303 y[1] (numeric) 0.023517745856009086 absolute error 7.216449660063518e-15 relative error 3.068512477447921e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.739999999999695 y[1] (closed_form) 0.023754103131312244 y[1] (numeric) 0.023754103131304976 absolute error 7.268491364342822e-15 relative error 3.059888779703757e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7299999999996962 y[1] (closed_form) 0.023992835836716464 y[1] (numeric) 0.023992835836709154 absolute error 7.310124727766265e-15 relative error 3.046794792210228e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7199999999996973 y[1] (closed_form) 0.024233967845698454 y[1] (numeric) 0.0242339678456911 absolute error 7.355227538141662e-15 relative error 3.035090078922928e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.7099999999996984 y[1] (closed_form) 0.024477523271660053 y[1] (numeric) 0.024477523271652653 absolute error 7.400330348517059e-15 relative error 3.023316642940392e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6999999999996995 y[1] (closed_form) 0.02472352647034682 y[1] (numeric) 0.024723526470339367 absolute error 7.452372052796363e-15 relative error 3.0142836062382415e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6899999999997006 y[1] (closed_form) 0.024972002042283628 y[1] (numeric) 0.024972002042276127 absolute error 7.500944310123714e-15 relative error 3.0037416693394483e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6799999999997017 y[1] (closed_form) 0.025222974835234738 y[1] (numeric) 0.025222974835227185 absolute error 7.552986014403018e-15 relative error 2.9944865995156224e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.669999999999703 y[1] (closed_form) 0.025476469946688587 y[1] (numeric) 0.02547646994668099 absolute error 7.598088824778415e-15 relative error 2.9823946726834534e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.659999999999704 y[1] (closed_form) 0.025732512726367562 y[1] (numeric) 0.02573251272635992 absolute error 7.643191635153812e-15 relative error 2.970246907649246e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.649999999999705 y[1] (closed_form) 0.02599112877876301 y[1] (numeric) 0.025991128778755312 absolute error 7.69870278638507e-15 relative error 2.9620501871683125e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.639999999999706 y[1] (closed_form) 0.026252343965695677 y[1] (numeric) 0.026252343965687937 absolute error 7.740336149808513e-15 relative error 2.948436208181229e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6299999999997072 y[1] (closed_form) 0.026516184408901942 y[1] (numeric) 0.026516184408894153 absolute error 7.788908407135864e-15 relative error 2.9374167440625405e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6199999999997083 y[1] (closed_form) 0.02678267649264599 y[1] (numeric) 0.02678267649263815 absolute error 7.837480664463214e-15 relative error 2.9263246586334405e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.6099999999997094 y[1] (closed_form) 0.02705184686635827 y[1] (numeric) 0.027051846866350385 absolute error 7.886052921790565e-15 relative error 2.915162488073107e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5999999999997105 y[1] (closed_form) 0.02732372244730047 y[1] (numeric) 0.027323722447292535 absolute error 7.934625179117916e-15 relative error 2.9039327252798386e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5899999999997116 y[1] (closed_form) 0.027598330423257243 y[1] (numeric) 0.027598330423249263 absolute error 7.979727989493313e-15 relative error 2.8913806984384672e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5799999999997127 y[1] (closed_form) 0.027875698255255026 y[1] (numeric) 0.027875698255246995 absolute error 8.031769693772617e-15 relative error 2.8812801818366993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.569999999999714 y[1] (closed_form) 0.02815585368030816 y[1] (numeric) 0.028155853680300078 absolute error 8.080341951099967e-15 relative error 2.8698621760317126e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.559999999999715 y[1] (closed_form) 0.028438824714192613 y[1] (numeric) 0.028438824714184487 absolute error 8.125444761475364e-15 relative error 2.8571661603935057e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.549999999999716 y[1] (closed_form) 0.028724639654247586 y[1] (numeric) 0.028724639654239405 absolute error 8.180955912706622e-15 relative error 2.8480621554104974e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.539999999999717 y[1] (closed_form) 0.029013327082205262 y[1] (numeric) 0.029013327082197032 absolute error 8.229528170033973e-15 relative error 2.8364648241536517e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5299999999997183 y[1] (closed_form) 0.02930491586704901 y[1] (numeric) 0.029304915867040728 absolute error 8.281569874313277e-15 relative error 2.8260002219031202e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5199999999997194 y[1] (closed_form) 0.02959943516790031 y[1] (numeric) 0.029599435167891975 absolute error 8.333611578592581e-15 relative error 2.815463042223904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.5099999999997205 y[1] (closed_form) 0.029896914436934673 y[1] (numeric) 0.02989691443692629 absolute error 8.382183835919932e-15 relative error 2.8036952955802605e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4999999999997216 y[1] (closed_form) 0.030197383422326907 y[1] (numeric) 0.030197383422318484 absolute error 8.423817199343375e-15 relative error 2.789585137735839e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4899999999997227 y[1] (closed_form) 0.03050087217122595 y[1] (numeric) 0.030500872171217466 absolute error 8.482797797526587e-15 relative error 2.7811656499216856e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4799999999997238 y[1] (closed_form) 0.030807411032759587 y[1] (numeric) 0.03080741103275105 absolute error 8.534839501805891e-15 relative error 2.770385181906465e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.469999999999725 y[1] (closed_form) 0.03111703066106943 y[1] (numeric) 0.031117030661060842 absolute error 8.586881206085195e-15 relative error 2.759543897235753e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.459999999999726 y[1] (closed_form) 0.03142976201837632 y[1] (numeric) 0.03142976201836769 absolute error 8.631984016460592e-15 relative error 2.746436327266383e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.449999999999727 y[1] (closed_form) 0.031745636378076605 y[1] (numeric) 0.031745636378067925 absolute error 8.680556273787943e-15 relative error 2.734409280824087e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.439999999999728 y[1] (closed_form) 0.032064685327869484 y[1] (numeric) 0.03206468532786075 absolute error 8.7360674250192e-15 relative error 2.7245136933953073e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4299999999997293 y[1] (closed_form) 0.03238694077291581 y[1] (numeric) 0.032386940772907026 absolute error 8.784639682346551e-15 relative error 2.7124018115637745e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4199999999997304 y[1] (closed_form) 0.03271243493902863 y[1] (numeric) 0.03271243493901979 absolute error 8.840150833577809e-15 relative error 2.7023823968025018e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.4099999999997315 y[1] (closed_form) 0.033041200375895814 y[1] (numeric) 0.03304120037588691 absolute error 8.902600878712974e-15 relative error 2.6943939013812558e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3999999999997326 y[1] (closed_form) 0.033373269960335 y[1] (numeric) 0.03337326996032605 absolute error 8.951173136040325e-15 relative error 2.6821384738981305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3899999999997337 y[1] (closed_form) 0.03370867689958138 y[1] (numeric) 0.033708676899572375 absolute error 9.006684287271582e-15 relative error 2.671918661804087e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3799999999997348 y[1] (closed_form) 0.03404745473460837 y[1] (numeric) 0.03404745473459933 absolute error 9.041378756791119e-15 relative error 2.6555226601419892e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.369999999999736 y[1] (closed_form) 0.0343896373434818 y[1] (numeric) 0.0343896373434727 absolute error 9.096889908022376e-15 relative error 2.6452415933215992e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.359999999999737 y[1] (closed_form) 0.034735258944747695 y[1] (numeric) 0.03473525894473855 absolute error 9.145462165349727e-15 relative error 2.632904559570761e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.349999999999738 y[1] (closed_form) 0.03508435410085421 y[1] (numeric) 0.03508435410084502 absolute error 9.194034422677078e-15 relative error 2.620551142611238e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.339999999999739 y[1] (closed_form) 0.035436957721607876 y[1] (numeric) 0.035436957721598626 absolute error 9.249545573908335e-15 relative error 2.610140985175027e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3299999999997403 y[1] (closed_form) 0.035793105067664595 y[1] (numeric) 0.0357931050676553 absolute error 9.298117831235686e-15 relative error 2.5977399316595148e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3199999999997414 y[1] (closed_form) 0.036152831754055766 y[1] (numeric) 0.03615283175404642 absolute error 9.346690088563037e-15 relative error 2.5853272441140072e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.3099999999997425 y[1] (closed_form) 0.036516173753749805 y[1] (numeric) 0.03651617375374041 absolute error 9.395262345890387e-15 relative error 2.5729043818358978e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2999999999997436 y[1] (closed_form) 0.036883167401249466 y[1] (numeric) 0.03688316740124002 absolute error 9.443834603217738e-15 relative error 2.560472776233913e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2899999999997447 y[1] (closed_form) 0.03725384939622532 y[1] (numeric) 0.03725384939621582 absolute error 9.499345754448996e-15 relative error 2.5498964290684814e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.279999999999746 y[1] (closed_form) 0.037628256807185775 y[1] (numeric) 0.03762825680717623 absolute error 9.547918011776346e-15 relative error 2.5374329883793616e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.269999999999747 y[1] (closed_form) 0.03800642707518394 y[1] (numeric) 0.03800642707517432 absolute error 9.617306950815419e-15 relative error 2.5304422675119018e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.259999999999748 y[1] (closed_form) 0.03838839801756174 y[1] (numeric) 0.03838839801755206 absolute error 9.679756995950584e-15 relative error 2.5215318939650295e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.249999999999749 y[1] (closed_form) 0.03877420783173174 y[1] (numeric) 0.038774207831722 absolute error 9.735268147181841e-15 relative error 2.51075874700779e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.23999999999975 y[1] (closed_form) 0.039163895098996857 y[1] (numeric) 0.03916389509898706 absolute error 9.797718192317006e-15 relative error 2.501722100815239e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2299999999997513 y[1] (closed_form) 0.039557498788408564 y[1] (numeric) 0.039557498788398704 absolute error 9.860168237452172e-15 relative error 2.492616707187127e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2199999999997524 y[1] (closed_form) 0.0399550582606638 y[1] (numeric) 0.03995505826065389 absolute error 9.908740494779522e-15 relative error 2.4799714794896917e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.2099999999997535 y[1] (closed_form) 0.0403566132720411 y[1] (numeric) 0.04035661327203113 absolute error 9.96425164601078e-15 relative error 2.4690505069993014e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1999999999997546 y[1] (closed_form) 0.04076220397837622 y[1] (numeric) 0.040762203978366204 absolute error 1.001282390333813e-14 relative error 2.456399047669207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1899999999997557 y[1] (closed_form) 0.041171870939077794 y[1] (numeric) 0.041171870939067726 absolute error 1.0068335054569388e-14 relative error 2.445440254456143e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.179999999999757 y[1] (closed_form) 0.041585655121183285 y[1] (numeric) 0.04158565512117317 absolute error 1.0116907311896739e-14 relative error 2.43278776838201e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.169999999999758 y[1] (closed_form) 0.04200359790345572 y[1] (numeric) 0.04200359790344554 absolute error 1.0179357357031904e-14 relative error 2.4234489103597547e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.159999999999759 y[1] (closed_form) 0.04242574108052161 y[1] (numeric) 0.04242574108051137 absolute error 1.0241807402167069e-14 relative error 2.414055038597607e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.14999999999976 y[1] (closed_form) 0.042852126867050463 y[1] (numeric) 0.04285212686704016 absolute error 1.0304257447302234e-14 relative error 2.4046081724884714e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.139999999999761 y[1] (closed_form) 0.043282797901976235 y[1] (numeric) 0.04328279790196588 absolute error 1.0352829704629585e-14 relative error 2.3919039910672893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1299999999997623 y[1] (closed_form) 0.04371779725276133 y[1] (numeric) 0.04371779725275092 absolute error 1.0408340855860843e-14 relative error 2.380801758076552e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1199999999997634 y[1] (closed_form) 0.04415716841970332 y[1] (numeric) 0.044157168419692854 absolute error 1.04638520070921e-14 relative error 2.3696836508255446e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.1099999999997645 y[1] (closed_form) 0.044600955340285034 y[1] (numeric) 0.04460095534027451 absolute error 1.0526302052227265e-14 relative error 2.360106856885993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0999999999997656 y[1] (closed_form) 0.04504920239356836 y[1] (numeric) 0.04504920239355779 absolute error 1.0574874309554616e-14 relative error 2.3474054473080708e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0899999999997667 y[1] (closed_form) 0.04550195440463218 y[1] (numeric) 0.04550195440462155 absolute error 1.0630385460785874e-14 relative error 2.3362481018405843e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.079999999999768 y[1] (closed_form) 0.04595925664905488 y[1] (numeric) 0.04595925664904418 absolute error 1.0699774399824946e-14 relative error 2.3280999693986518e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.069999999999769 y[1] (closed_form) 0.04642115485744199 y[1] (numeric) 0.04642115485743125 absolute error 1.074140776324839e-14 relative error 2.3139036062835873e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.05999999999977 y[1] (closed_form) 0.046887695219999276 y[1] (numeric) 0.04688769521998847 absolute error 1.0803857808383555e-14 relative error 2.3041989497865793e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.049999999999771 y[1] (closed_form) 0.04735892439115176 y[1] (numeric) 0.04735892439114091 absolute error 1.0852430065710905e-14 relative error 2.2915279865896835e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.039999999999772 y[1] (closed_form) 0.04783488949420926 y[1] (numeric) 0.04783488949419836 absolute error 1.0901002323038256e-14 relative error 2.2788810506937403e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0299999999997733 y[1] (closed_form) 0.04831563812607873 y[1] (numeric) 0.04831563812606776 absolute error 1.0970391262077328e-14 relative error 2.2705673954776923e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0199999999997744 y[1] (closed_form) 0.04880121836202397 y[1] (numeric) 0.04880121836201294 absolute error 1.1025902413308586e-14 relative error 2.2593498243250214e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -3.0099999999997755 y[1] (closed_form) 0.049291678760473225 y[1] (numeric) 0.049291678760462136 absolute error 1.1088352458443751e-14 relative error 2.2495384083642634e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9999999999997766 y[1] (closed_form) 0.04978706836787507 y[1] (numeric) 0.04978706836786392 absolute error 1.1150802503578916e-14 relative error 2.2396985540875776e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9899999999997777 y[1] (closed_form) 0.05028743672360305 y[1] (numeric) 0.05028743672359184 absolute error 1.1213252548714081e-14 relative error 2.2298317988140758e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.979999999999779 y[1] (closed_form) 0.05079283386490974 y[1] (numeric) 0.05079283386489846 absolute error 1.1275702593849246e-14 relative error 2.2199396520852663e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.96999999999978 y[1] (closed_form) 0.05130331033193041 y[1] (numeric) 0.05130331033191907 absolute error 1.1338152638984411e-14 relative error 2.2100235960656353e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.959999999999781 y[1] (closed_form) 0.05181891717273718 y[1] (numeric) 0.051818917172725784 absolute error 1.1393663790215669e-14 relative error 2.1987460201522837e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.949999999999782 y[1] (closed_form) 0.052339705948443796 y[1] (numeric) 0.05233970594843235 absolute error 1.1449174941446927e-14 relative error 2.187474066576666e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9399999999997832 y[1] (closed_form) 0.052865728738361824 y[1] (numeric) 0.05286572873835032 absolute error 1.1504686092678185e-14 relative error 2.176208739997913e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9299999999997843 y[1] (closed_form) 0.0533970381452086 y[1] (numeric) 0.05339703814519705 absolute error 1.1553258350005535e-14 relative error 2.1636515341145803e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9199999999997854 y[1] (closed_form) 0.053933687300367586 y[1] (numeric) 0.05393368730035598 absolute error 1.1608769501236793e-14 relative error 2.152415323763275e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.9099999999997865 y[1] (closed_form) 0.054475729869201496 y[1] (numeric) 0.054475729869189825 absolute error 1.1671219546371958e-14 relative error 2.142462262441466e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8999999999997876 y[1] (closed_form) 0.055023220056418916 y[1] (numeric) 0.05502322005640719 absolute error 1.1726730697603216e-14 relative error 2.1312330840650602e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8899999999997887 y[1] (closed_form) 0.05557621261149481 y[1] (numeric) 0.05557621261148303 absolute error 1.1782241848834474e-14 relative error 2.1200152538637648e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.87999999999979 y[1] (closed_form) 0.05613476283414552 y[1] (numeric) 0.05613476283413368 absolute error 1.1844691893969639e-14 relative error 2.11004577127469e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.869999999999791 y[1] (closed_form) 0.05669892657985877 y[1] (numeric) 0.05669892657984687 absolute error 1.1900203045200897e-14 relative error 2.098840976899238e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.859999999999792 y[1] (closed_form) 0.05726876026547926 y[1] (numeric) 0.05726876026546732 absolute error 1.194183640862434e-14 relative error 2.0852269812138222e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.849999999999793 y[1] (closed_form) 0.057844320874850426 y[1] (numeric) 0.057844320874838435 absolute error 1.199040866595169e-14 relative error 2.072875691961816e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8399999999997942 y[1] (closed_form) 0.05842566596451284 y[1] (numeric) 0.058425665964500786 absolute error 1.2052858711086856e-14 relative error 2.0629390375126644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8299999999997953 y[1] (closed_form) 0.05901285366945992 y[1] (numeric) 0.059012853669447814 absolute error 1.2108369862318114e-14 relative error 2.051819071509227e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8199999999997964 y[1] (closed_form) 0.05960594270895149 y[1] (numeric) 0.059605942708939326 absolute error 1.2163881013549371e-14 relative error 2.0407161535795365e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.8099999999997975 y[1] (closed_form) 0.060204992392385734 y[1] (numeric) 0.060204992392373514 absolute error 1.2219392164780629e-14 relative error 2.0296310454024814e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7999999999997986 y[1] (closed_form) 0.060810062625230206 y[1] (numeric) 0.060810062625217924 absolute error 1.2281842209915794e-14 relative error 2.0197055684037455e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7899999999997998 y[1] (closed_form) 0.06142121391501243 y[1] (numeric) 0.061421213915000085 absolute error 1.234429225505096e-14 relative error 2.0097766664350794e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.779999999999801 y[1] (closed_form) 0.06203850737737066 y[1] (numeric) 0.06203850737735826 absolute error 1.2399803406282217e-14 relative error 1.9987269085724657e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.769999999999802 y[1] (closed_form) 0.06266200474216556 y[1] (numeric) 0.06266200474215311 absolute error 1.2448375663609568e-14 relative error 1.9865907123193263e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.759999999999803 y[1] (closed_form) 0.06329176835965318 y[1] (numeric) 0.06329176835964068 absolute error 1.2503886814840826e-14 relative error 1.9755944791727008e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.749999999999804 y[1] (closed_form) 0.06392786120672009 y[1] (numeric) 0.06392786120670753 absolute error 1.2559397966072083e-14 relative error 1.9646203907024877e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7399999999998053 y[1] (closed_form) 0.06457034689318106 y[1] (numeric) 0.06457034689316844 absolute error 1.2614909117303341e-14 relative error 1.9536690949132157e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7299999999998064 y[1] (closed_form) 0.06521928966814015 y[1] (numeric) 0.0652192896681275 absolute error 1.2656542480726785e-14 relative error 1.9406133591960216e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7199999999998075 y[1] (closed_form) 0.06587475442641565 y[1] (numeric) 0.06587475442640295 absolute error 1.2698175844150228e-14 relative error 1.927624012372528e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.7099999999998086 y[1] (closed_form) 0.0665368067150296 y[1] (numeric) 0.06653680671501683 absolute error 1.27675647831893e-14 relative error 1.9188724878053568e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6999999999998097 y[1] (closed_form) 0.06720551273976255 y[1] (numeric) 0.06720551273974971 absolute error 1.2836953722228372e-14 relative error 1.910104275513296e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6899999999998108 y[1] (closed_form) 0.06788093937177428 y[1] (numeric) 0.06788093937176141 absolute error 1.2864709297844001e-14 relative error 1.8951872818650627e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.679999999999812 y[1] (closed_form) 0.06856315415429082 y[1] (numeric) 0.06856315415427788 absolute error 1.2934098236883074e-14 relative error 1.886450294829914e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.669999999999813 y[1] (closed_form) 0.06925222530935894 y[1] (numeric) 0.06925222530934597 absolute error 1.2975731600306517e-14 relative error 1.8736916456246988e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.659999999999814 y[1] (closed_form) 0.06994822174466837 y[1] (numeric) 0.06994822174465534 absolute error 1.3031242751537775e-14 relative error 1.8629841369099634e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.649999999999815 y[1] (closed_form) 0.07065121306044264 y[1] (numeric) 0.07065121306042958 absolute error 1.3058998327153404e-14 relative error 1.8483756699239308e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6399999999998163 y[1] (closed_form) 0.07136126955639917 y[1] (numeric) 0.07136126955638605 absolute error 1.3114509478384662e-14 relative error 1.8377629153612287e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6299999999998174 y[1] (closed_form) 0.07207846223877926 y[1] (numeric) 0.0720784622387661 absolute error 1.3156142841808105e-14 relative error 1.8252529858676575e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6199999999998185 y[1] (closed_form) 0.07280286282744881 y[1] (numeric) 0.07280286282743559 absolute error 1.3225531780847177e-14 relative error 1.8166224880734723e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.6099999999998196 y[1] (closed_form) 0.07353454376307035 y[1] (numeric) 0.07353454376305708 absolute error 1.326716514427062e-14 relative error 1.8042085345654242e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5999999999998207 y[1] (closed_form) 0.0742735782143472 y[1] (numeric) 0.07427357821433388 absolute error 1.3322676295501878e-14 relative error 1.793730235677319e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.589999999999822 y[1] (closed_form) 0.07502004008534033 y[1] (numeric) 0.07502004008532696 absolute error 1.3364309658925322e-14 relative error 1.7814319538782602e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.579999999999823 y[1] (closed_form) 0.0757740040228589 y[1] (numeric) 0.07577400402284548 absolute error 1.341982081015658e-14 relative error 1.7710322930946337e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.569999999999824 y[1] (closed_form) 0.07653554542392497 y[1] (numeric) 0.0765355454239115 absolute error 1.3475331961387838e-14 relative error 1.7606632169077684e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.559999999999825 y[1] (closed_form) 0.07730474044331327 y[1] (numeric) 0.07730474044329975 absolute error 1.3516965324811281e-14 relative error 1.7485299410225852e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.549999999999826 y[1] (closed_form) 0.07808166600116673 y[1] (numeric) 0.07808166600115315 absolute error 1.3572476476042539e-14 relative error 1.738241148163992e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5399999999998273 y[1] (closed_form) 0.07886639979068857 y[1] (numeric) 0.07886639979067496 absolute error 1.3614109839465982e-14 relative error 1.7262243332519084e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5299999999998284 y[1] (closed_form) 0.0796590202859117 y[1] (numeric) 0.07965902028589804 absolute error 1.3655743202889425e-14 relative error 1.7142745609820847e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5199999999998295 y[1] (closed_form) 0.08045960674954615 y[1] (numeric) 0.08045960674953244 absolute error 1.3711254354120683e-14 relative error 1.7041165011905834e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.5099999999998306 y[1] (closed_form) 0.08126823924090545 y[1] (numeric) 0.08126823924089169 absolute error 1.3766765505351941e-14 relative error 1.693990867027742e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4999999999998317 y[1] (closed_form) 0.08208499862391261 y[1] (numeric) 0.0820849986238988 absolute error 1.3808398868775384e-14 relative error 1.6822073582581248e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.489999999999833 y[1] (closed_form) 0.08290996657518655 y[1] (numeric) 0.0829099665751727 absolute error 1.3850032232198828e-14 relative error 1.6704906302958143e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.479999999999834 y[1] (closed_form) 0.08374322559220987 y[1] (numeric) 0.08374322559219596 absolute error 1.3905543383430086e-14 relative error 1.6604977041538312e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.469999999999835 y[1] (closed_form) 0.08458485900157867 y[1] (numeric) 0.0845848590015647 absolute error 1.3961054534661343e-14 relative error 1.650538252289429e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.459999999999836 y[1] (closed_form) 0.08543495096733524 y[1] (numeric) 0.08543495096732122 absolute error 1.4016565685892601e-14 relative error 1.6406125979110847e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.449999999999837 y[1] (closed_form) 0.08629358649938455 y[1] (numeric) 0.08629358649937051 absolute error 1.404432126150823e-14 relative error 1.627504642144917e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4399999999998383 y[1] (closed_form) 0.08716085146199538 y[1] (numeric) 0.08716085146198128 absolute error 1.4099832412739488e-14 relative error 1.6176795173791316e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4299999999998394 y[1] (closed_form) 0.0880368325823867 y[1] (numeric) 0.08803683258237256 absolute error 1.4141465776162931e-14 relative error 1.606312421897852e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4199999999998405 y[1] (closed_form) 0.08892161745940051 y[1] (numeric) 0.0889216174593863 absolute error 1.4210854715202004e-14 relative error 1.598132728713616e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.4099999999998416 y[1] (closed_form) 0.08981529457226187 y[1] (numeric) 0.0898152945722476 absolute error 1.426636586643326e-14 relative error 1.588411632381287e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3999999999998427 y[1] (closed_form) 0.09071795328942678 y[1] (numeric) 0.09071795328941247 absolute error 1.4307999229856705e-14 relative error 1.5771959916476984e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.389999999999844 y[1] (closed_form) 0.09162968387751916 y[1] (numeric) 0.09162968387750482 absolute error 1.4335754805472334e-14 relative error 1.5645317323843275e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.379999999999845 y[1] (closed_form) 0.09255057751035763 y[1] (numeric) 0.09255057751034325 absolute error 1.4377388168895777e-14 relative error 1.5534628260192928e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.369999999999846 y[1] (closed_form) 0.09348072627807287 y[1] (numeric) 0.09348072627805844 absolute error 1.4432899320127035e-14 relative error 1.5439438582445482e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.359999999999847 y[1] (closed_form) 0.09442022319631678 y[1] (numeric) 0.0944202231963023 absolute error 1.4474532683550478e-14 relative error 1.532990729481257e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.349999999999848 y[1] (closed_form) 0.0953691622155641 y[1] (numeric) 0.09536916221554959 absolute error 1.4516166046973922e-14 relative error 1.5221027122124498e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3399999999998493 y[1] (closed_form) 0.09632763823050754 y[1] (numeric) 0.09632763823049298 absolute error 1.4557799410397365e-14 relative error 1.5112795951211044e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3299999999998504 y[1] (closed_form) 0.09729574708954733 y[1] (numeric) 0.09729574708953276 absolute error 1.457167719820518e-14 relative error 1.4976684628151278e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3199999999998515 y[1] (closed_form) 0.09827358560437613 y[1] (numeric) 0.09827358560436154 absolute error 1.4585554986012994e-14 relative error 1.484178571109702e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.3099999999998526 y[1] (closed_form) 0.09926125155966029 y[1] (numeric) 0.09926125155964566 absolute error 1.4627188349436437e-14 relative error 1.473605069410682e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2999999999998537 y[1] (closed_form) 0.1002588437228184 y[1] (numeric) 0.10025884372280373 absolute error 1.466882171285988e-14 relative error 1.4630950416119083e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.289999999999855 y[1] (closed_form) 0.10126646185389811 y[1] (numeric) 0.1012664618538834 absolute error 1.4710455076283324e-14 relative error 1.4526482713997445e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.279999999999856 y[1] (closed_form) 0.1022842067155522 y[1] (numeric) 0.10228420671553744 absolute error 1.4765966227514582e-14 relative error 1.4436213274428644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.269999999999857 y[1] (closed_form) 0.10331218008311498 y[1] (numeric) 0.10331218008310017 absolute error 1.4807599590938025e-14 relative error 1.4332869153496968e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.259999999999858 y[1] (closed_form) 0.10435048475477982 y[1] (numeric) 0.10435048475476497 absolute error 1.484923295436147e-14 relative error 1.423015234596818e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2499999999998592 y[1] (closed_form) 0.10539922456187917 y[1] (numeric) 0.1053992245618643 absolute error 1.4863110742169283e-14 relative error 1.4101726842822502e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2399999999998603 y[1] (closed_form) 0.1064585043792677 y[1] (numeric) 0.10645850437925279 absolute error 1.4904744105592727e-14 relative error 1.4000519913837298e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2299999999998614 y[1] (closed_form) 0.10752843013580986 y[1] (numeric) 0.10752843013579491 absolute error 1.494637746901617e-14 relative error 1.3899930883524193e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2199999999998625 y[1] (closed_form) 0.10860910882497292 y[1] (numeric) 0.10860910882495796 absolute error 1.4960255256823984e-14 relative error 1.3774401998761372e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.2099999999998636 y[1] (closed_form) 0.10970064851552636 y[1] (numeric) 0.10970064851551137 absolute error 1.4988010832439613e-14 relative error 1.3662645604431685e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1999999999998647 y[1] (closed_form) 0.11080315836234887 y[1] (numeric) 0.11080315836233386 absolute error 1.5015766408055242e-14 relative error 1.3551749453702962e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.189999999999866 y[1] (closed_form) 0.11191674861734388 y[1] (numeric) 0.11191674861732884 absolute error 1.504352198367087e-14 relative error 1.3441707491973688e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.179999999999867 y[1] (closed_form) 0.1130415306404649 y[1] (numeric) 0.11304153064044982 absolute error 1.5085155347094314e-14 relative error 1.3344790416075945e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.169999999999868 y[1] (closed_form) 0.11417761691085156 y[1] (numeric) 0.11417761691083644 absolute error 1.5112910922709943e-14 relative error 1.3236316654349087e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.159999999999869 y[1] (closed_form) 0.11532512103807761 y[1] (numeric) 0.11532512103806246 absolute error 1.5154544286133387e-14 relative error 1.314071396563262e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1499999999998702 y[1] (closed_form) 0.11648415777351208 y[1] (numeric) 0.11648415777349691 absolute error 1.51684220739412e-14 relative error 1.3021875561339574e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1399999999998713 y[1] (closed_form) 0.11765484302179434 y[1] (numeric) 0.11765484302177916 absolute error 1.5182299861749016e-14 relative error 1.2904101073796556e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1299999999998724 y[1] (closed_form) 0.1188372938524248 y[1] (numeric) 0.1188372938524096 absolute error 1.519617764955683e-14 relative error 1.2787381096398775e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1199999999998735 y[1] (closed_form) 0.12003162851147191 y[1] (numeric) 0.1200316285114567 absolute error 1.5210055437364645e-14 relative error 1.2671706304402059e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.1099999999998746 y[1] (closed_form) 0.12123796643339686 y[1] (numeric) 0.12123796643338162 absolute error 1.5237811012980274e-14 relative error 1.2568514188458695e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0999999999998757 y[1] (closed_form) 0.12245642825299713 y[1] (numeric) 0.12245642825298186 absolute error 1.5265566588595902e-14 relative error 1.2466121057407435e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.089999999999877 y[1] (closed_form) 0.12368713581747005 y[1] (numeric) 0.12368713581745479 absolute error 1.5265566588595902e-14 relative error 1.2342081080383247e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.079999999999878 y[1] (closed_form) 0.12493021219859768 y[1] (numeric) 0.1249302121985824 absolute error 1.5279444376403717e-14 relative error 1.2230383753862883e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.069999999999879 y[1] (closed_form) 0.126185781705054 y[1] (numeric) 0.12618578170503875 absolute error 1.5265566588595902e-14 relative error 1.2097691500836091e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.05999999999988 y[1] (closed_form) 0.127453969894836 y[1] (numeric) 0.1274539698948208 absolute error 1.5210055437364645e-14 relative error 1.1933763577481868e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0499999999998813 y[1] (closed_form) 0.1287349035878195 y[1] (numeric) 0.12873490358780426 absolute error 1.5237811012980274e-14 relative error 1.1836580902540892e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0399999999998824 y[1] (closed_form) 0.13002871087844123 y[1] (numeric) 0.130028710878426 absolute error 1.5237811012980274e-14 relative error 1.1718804954719199e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0299999999998835 y[1] (closed_form) 0.13133552114850838 y[1] (numeric) 0.13133552114849315 absolute error 1.5237811012980274e-14 relative error 1.1602200897158684e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0199999999998846 y[1] (closed_form) 0.13265546508013704 y[1] (numeric) 0.1326554650801218 absolute error 1.5237811012980274e-14 relative error 1.1486757069356417e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -2.0099999999998857 y[1] (closed_form) 0.13398867466882028 y[1] (numeric) 0.13398867466880507 absolute error 1.5210055437364645e-14 relative error 1.135174705993572e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9999999999998868 y[1] (closed_form) 0.13533528323662802 y[1] (numeric) 0.13533528323661276 absolute error 1.5265566588595902e-14 relative error 1.1279812790508373e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9899999999998879 y[1] (closed_form) 0.1366954254455392 y[1] (numeric) 0.13669542544552396 absolute error 1.5237811012980274e-14 relative error 1.1147272092913722e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.979999999999889 y[1] (closed_form) 0.13806923731090814 y[1] (numeric) 0.13806923731089293 absolute error 1.5210055437364645e-14 relative error 1.1016252232287065e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.96999999999989 y[1] (closed_form) 0.13945685621506626 y[1] (numeric) 0.13945685621505108 absolute error 1.5182299861749016e-14 relative error 1.0886736065765974e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9599999999998912 y[1] (closed_form) 0.14085842092106032 y[1] (numeric) 0.14085842092104517 absolute error 1.5154544286133387e-14 relative error 1.0758706641064984e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9499999999998923 y[1] (closed_form) 0.1422740715865289 y[1] (numeric) 0.14227407158651378 absolute error 1.5126788710517758e-14 relative error 1.0632147194380303e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9399999999998934 y[1] (closed_form) 0.14370394977771825 y[1] (numeric) 0.1437039497777031 absolute error 1.5154544286133387e-14 relative error 1.0545669976068498e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9299999999998945 y[1] (closed_form) 0.14514819848363905 y[1] (numeric) 0.14514819848362387 absolute error 1.5182299861749016e-14 relative error 1.0459861038826705e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9199999999998956 y[1] (closed_form) 0.14660696213036545 y[1] (numeric) 0.14660696213035027 absolute error 1.5182299861749016e-14 relative error 1.0355783682529791e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.9099999999998967 y[1] (closed_form) 0.14808038659547776 y[1] (numeric) 0.14808038659546258 absolute error 1.5182299861749016e-14 relative error 1.0252741913230978e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8999999999998978 y[1] (closed_form) 0.14956861922265036 y[1] (numeric) 0.1495686192226352 absolute error 1.5154544286133387e-14 relative error 1.013216834179239e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8899999999998989 y[1] (closed_form) 0.15107180883638613 y[1] (numeric) 0.151071808836371 absolute error 1.5126788710517758e-14 relative error 1.0012979143514712e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8799999999999 y[1] (closed_form) 0.15259010575689913 y[1] (numeric) 0.152590105756884 absolute error 1.5126788710517758e-14 relative error 9.913348336370639e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.869999999999901 y[1] (closed_form) 0.15412366181514667 y[1] (numeric) 0.15412366181513157 absolute error 1.509903313490213e-14 relative error 9.796700232188654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8599999999999022 y[1] (closed_form) 0.15567263036801254 y[1] (numeric) 0.1556726303679975 absolute error 1.504352198367087e-14 relative error 9.663562533829967e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8499999999999033 y[1] (closed_form) 0.15723716631364282 y[1] (numeric) 0.15723716631362783 absolute error 1.4988010832439613e-14 relative error 9.532104389710797e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8399999999999044 y[1] (closed_form) 0.1588174261069359 y[1] (numeric) 0.15881742610692096 absolute error 1.4932499681208355e-14 relative error 9.402305557548777e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8299999999999055 y[1] (closed_form) 0.16041356777518792 y[1] (numeric) 0.16041356777517304 absolute error 1.4876988529977098e-14 relative error 9.274146031604072e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8199999999999066 y[1] (closed_form) 0.1620257509338959 y[1] (numeric) 0.16202575093388108 absolute error 1.482147737874584e-14 relative error 9.14760603997619e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.8099999999999077 y[1] (closed_form) 0.16365413680271917 y[1] (numeric) 0.16365413680270438 absolute error 1.479372180313021e-14 relative error 9.039625940506263e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7999999999999088 y[1] (closed_form) 0.1652988882216016 y[1] (numeric) 0.16529888822158684 absolute error 1.4765966227514582e-14 relative error 8.932889014788264e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7899999999999099 y[1] (closed_form) 0.16696016966705574 y[1] (numeric) 0.16696016966704097 absolute error 1.4765966227514582e-14 relative error 8.8440052839909e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.779999999999911 y[1] (closed_form) 0.1686381472686105 y[1] (numeric) 0.1686381472685958 absolute error 1.4710455076283324e-14 relative error 8.723088645448761e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.769999999999912 y[1] (closed_form) 0.17033298882542441 y[1] (numeric) 0.17033298882540973 absolute error 1.4682699500667695e-14 relative error 8.619997571765799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7599999999999132 y[1] (closed_form) 0.17204486382306547 y[1] (numeric) 0.1720448638230508 absolute error 1.4682699500667695e-14 relative error 8.534227162844972e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7499999999999143 y[1] (closed_form) 0.17377394345046002 y[1] (numeric) 0.1737739434504454 absolute error 1.4627188349436437e-14 relative error 8.417365721809956e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7399999999999154 y[1] (closed_form) 0.1755204006170117 y[1] (numeric) 0.17552040061699717 absolute error 1.454392162258955e-14 relative error 8.286171619631052e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7299999999999165 y[1] (closed_form) 0.17728440996989261 y[1] (numeric) 0.17728440996987813 absolute error 1.4488410471358293e-14 relative error 8.172410915217414e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7199999999999176 y[1] (closed_form) 0.179066147911508 y[1] (numeric) 0.17906614791149358 absolute error 1.4405143744511406e-14 relative error 8.044593527320546e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.7099999999999187 y[1] (closed_form) 0.18086579261713678 y[1] (numeric) 0.1808657926171224 absolute error 1.4377388168895777e-14 relative error 7.949202533466541e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6999999999999198 y[1] (closed_form) 0.1826835240527493 y[1] (numeric) 0.18268352405273494 absolute error 1.4349632593280148e-14 relative error 7.854913390622318e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.689999999999921 y[1] (closed_form) 0.18451952399300386 y[1] (numeric) 0.18451952399298954 absolute error 1.432187701766452e-14 relative error 7.761713615848879e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.679999999999922 y[1] (closed_form) 0.18637397603942452 y[1] (numeric) 0.18637397603941022 absolute error 1.429412144204889e-14 relative error 7.669590865532209e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.669999999999923 y[1] (closed_form) 0.18824706563876126 y[1] (numeric) 0.1882470656387471 absolute error 1.4155343563970746e-14 relative error 7.51955602385553e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6599999999999242 y[1] (closed_form) 0.19013898010153493 y[1] (numeric) 0.19013898010152086 absolute error 1.4072076837123859e-14 relative error 7.400942631336992e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6499999999999253 y[1] (closed_form) 0.19204990862076846 y[1] (numeric) 0.19204990862075444 absolute error 1.4016565685892601e-14 relative error 7.29839747727786e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6399999999999264 y[1] (closed_form) 0.19398004229090618 y[1] (numeric) 0.19398004229089222 absolute error 1.3961054534661343e-14 relative error 7.19716026957266e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6299999999999275 y[1] (closed_form) 0.19592957412692355 y[1] (numeric) 0.19592957412690967 absolute error 1.3877787807814457e-14 relative error 7.083049034151628e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6199999999999286 y[1] (closed_form) 0.1978986990836288 y[1] (numeric) 0.19789869908361502 absolute error 1.379452108096757e-14 relative error 6.970496089586838e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.6099999999999297 y[1] (closed_form) 0.19988761407515857 y[1] (numeric) 0.19988761407514483 absolute error 1.3739009929736312e-14 relative error 6.873367313579714e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5999999999999308 y[1] (closed_form) 0.20189651799466937 y[1] (numeric) 0.20189651799465572 absolute error 1.3655743202889425e-14 relative error 6.7637338863119846e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.589999999999932 y[1] (closed_form) 0.20392561173422732 y[1] (numeric) 0.20392561173421378 absolute error 1.354472090042691e-14 relative error 6.641991059994713e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.579999999999933 y[1] (closed_form) 0.20597509820489726 y[1] (numeric) 0.20597509820488386 absolute error 1.3405943022348765e-14 relative error 6.50852609814657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5699999999999341 y[1] (closed_form) 0.20804518235703418 y[1] (numeric) 0.20804518235702082 absolute error 1.3350431871117507e-14 relative error 6.417082923942131e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5599999999999352 y[1] (closed_form) 0.21013607120077835 y[1] (numeric) 0.2101360712007651 absolute error 1.3239409568654992e-14 relative error 6.300398352839268e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5499999999999363 y[1] (closed_form) 0.2122479738267566 y[1] (numeric) 0.21224797382674343 absolute error 1.3156142841808105e-14 relative error 6.1984774717079555e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5399999999999374 y[1] (closed_form) 0.21438110142699138 y[1] (numeric) 0.21438110142697833 absolute error 1.304512053934559e-14 relative error 6.0850142351695e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5299999999999385 y[1] (closed_form) 0.21653566731602036 y[1] (numeric) 0.21653566731600746 absolute error 1.2906342661267445e-14 relative error 5.960377253892052e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5199999999999396 y[1] (closed_form) 0.21871188695222796 y[1] (numeric) 0.21871188695221513 absolute error 1.2823075934420558e-14 relative error 5.8629990866575224e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.5099999999999407 y[1] (closed_form) 0.2209099779593913 y[1] (numeric) 0.22090997795937858 absolute error 1.2712053631958042e-14 relative error 5.754404463475539e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4999999999999418 y[1] (closed_form) 0.2231301601484428 y[1] (numeric) 0.22313016014843023 absolute error 1.2573275753879898e-14 relative error 5.634951252450685e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.489999999999943 y[1] (closed_form) 0.2253726555394516 y[1] (numeric) 0.2253726555394392 absolute error 1.2406742300186124e-14 relative error 5.504990066558592e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.479999999999944 y[1] (closed_form) 0.22763768838382548 y[1] (numeric) 0.22763768838381324 absolute error 1.2240208846492351e-14 relative error 5.377057258573912e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4699999999999451 y[1] (closed_form) 0.22992548518673644 y[1] (numeric) 0.22992548518672432 absolute error 1.2129186544029835e-14 relative error 5.2752684349797005e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4599999999999462 y[1] (closed_form) 0.23223627472977132 y[1] (numeric) 0.23223627472975933 absolute error 1.199040866595169e-14 relative error 5.1630214443904835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4499999999999473 y[1] (closed_form) 0.23457028809381 y[1] (numeric) 0.23457028809379812 absolute error 1.1879386363489175e-14 relative error 5.064318443748655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4399999999999484 y[1] (closed_form) 0.23692775868213398 y[1] (numeric) 0.2369277586821222 absolute error 1.176836406102666e-14 relative error 4.9670684965265225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4299999999999495 y[1] (closed_form) 0.2393089222437666 y[1] (numeric) 0.23930892224375502 absolute error 1.1574075031717257e-14 relative error 4.836457798229348e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4199999999999506 y[1] (closed_form) 0.24171401689704838 y[1] (numeric) 0.2417140168970369 absolute error 1.149080830487037e-14 relative error 4.753885791308732e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.4099999999999517 y[1] (closed_form) 0.24414328315344885 y[1] (numeric) 0.24414328315343756 absolute error 1.1296519275560968e-14 relative error 4.627003917392592e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3999999999999528 y[1] (closed_form) 0.24659696394161812 y[1] (numeric) 0.246596963941607 absolute error 1.1129985821867194e-14 relative error 4.513431813581541e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.389999999999954 y[1] (closed_form) 0.24907530463167965 y[1] (numeric) 0.2490753046316687 absolute error 1.0963452368173421e-14 relative error 4.401661732135844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.379999999999955 y[1] (closed_form) 0.25157855305976784 y[1] (numeric) 0.251578553059757 absolute error 1.0824674490095276e-14 relative error 4.302701624777866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3699999999999561 y[1] (closed_form) 0.25410695955281143 y[1] (numeric) 0.2541069595528008 absolute error 1.0602629885170245e-14 relative error 4.172506689241891e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3599999999999572 y[1] (closed_form) 0.25666077695356687 y[1] (numeric) 0.2566607769535564 absolute error 1.049160758270773e-14 relative error 4.087733118880799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3499999999999583 y[1] (closed_form) 0.25924026064590233 y[1] (numeric) 0.259240260645892 absolute error 1.0325074129013956e-14 relative error 3.982820455159559e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3399999999999594 y[1] (closed_form) 0.2618456685803366 y[1] (numeric) 0.26184566858032654 absolute error 1.0047518372857667e-14 relative error 3.837190978690946e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3299999999999605 y[1] (closed_form) 0.2644772612998344 y[1] (numeric) 0.26447726129982463 absolute error 9.769962616701378e-15 relative error 3.694065254867147e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3199999999999616 y[1] (closed_form) 0.2671353019658606 y[1] (numeric) 0.26713530196585106 absolute error 9.547918011776346e-15 relative error 3.574188039361624e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.3099999999999627 y[1] (closed_form) 0.2698200563846969 y[1] (numeric) 0.2698200563846876 absolute error 9.325873406851315e-15 relative error 3.4563306863871223e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2999999999999639 y[1] (closed_form) 0.2725317930340225 y[1] (numeric) 0.2725317930340133 absolute error 9.159339953157541e-15 relative error 3.3608335567711555e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.289999999999965 y[1] (closed_form) 0.275270783089762 y[1] (numeric) 0.27527078308975306 absolute error 8.93729534823251e-15 relative error 3.2467286385850043e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.279999999999966 y[1] (closed_form) 0.2780373004532036 y[1] (numeric) 0.2780373004531948 absolute error 8.770761894538737e-15 relative error 3.154527065340624e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2699999999999672 y[1] (closed_form) 0.280831621778389 y[1] (numeric) 0.2808316217783805 absolute error 8.493206138382448e-15 relative error 3.024305484047178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2599999999999683 y[1] (closed_form) 0.2836540264997794 y[1] (numeric) 0.2836540264997711 absolute error 8.271161533457416e-15 relative error 2.9159330595519855e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2499999999999694 y[1] (closed_form) 0.28650479686019886 y[1] (numeric) 0.2865047968601908 absolute error 8.049116928532385e-15 relative error 2.8094178585289037e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2399999999999705 y[1] (closed_form) 0.28938421793905916 y[1] (numeric) 0.28938421793905134 absolute error 7.827072323607354e-15 relative error 2.7047336511128055e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2299999999999716 y[1] (closed_form) 0.2922925776808677 y[1] (numeric) 0.29229257768086014 absolute error 7.549516567451064e-15 relative error 2.582862906527108e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2199999999999727 y[1] (closed_form) 0.29523016692402226 y[1] (numeric) 0.295230166924015 absolute error 7.271960811294775e-15 relative error 2.463149645939204e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.2099999999999738 y[1] (closed_form) 0.2981972794298952 y[1] (numeric) 0.2981972794298881 absolute error 7.105427357601002e-15 relative error 2.3827941593516296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1999999999999749 y[1] (closed_form) 0.3011942119122097 y[1] (numeric) 0.30119421191220286 absolute error 6.827871601444713e-15 relative error 2.266933205022831e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.189999999999976 y[1] (closed_form) 0.30422126406671135 y[1] (numeric) 0.30422126406670486 absolute error 6.494804694057166e-15 relative error 2.134895045545846e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.179999999999977 y[1] (closed_form) 0.3072787386011383 y[1] (numeric) 0.307278738601132 absolute error 6.328271240363392e-15 relative error 2.059456267352677e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1699999999999782 y[1] (closed_form) 0.3103669412654918 y[1] (numeric) 0.31036694126548564 absolute error 6.161737786669619e-15 relative error 1.985307378919197e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1599999999999793 y[1] (closed_form) 0.3134861808826118 y[1] (numeric) 0.313486180882606 absolute error 5.828670879282072e-15 relative error 1.8593071193350875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1499999999999804 y[1] (closed_form) 0.31663676937905944 y[1] (numeric) 0.31663676937905394 absolute error 5.495603971894525e-15 relative error 1.7356177498499872e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1399999999999815 y[1] (closed_form) 0.31981902181630983 y[1] (numeric) 0.3198190218163046 absolute error 5.218048215738236e-15 relative error 1.6315628088986077e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1299999999999826 y[1] (closed_form) 0.32303325642225855 y[1] (numeric) 0.3230332564222537 absolute error 4.829470157119431e-15 relative error 1.4950380684044818e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1199999999999837 y[1] (closed_form) 0.3262797946230448 y[1] (numeric) 0.32627979462304024 absolute error 4.551914400963142e-15 relative error 1.3950953984821605e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.1099999999999848 y[1] (closed_form) 0.32955896107519406 y[1] (numeric) 0.3295589610751899 absolute error 4.163336342344337e-15 relative error 1.263305457925147e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0999999999999859 y[1] (closed_form) 0.33287108369808427 y[1] (numeric) 0.3328710836980804 absolute error 3.885780586188048e-15 relative error 1.1673530013536623e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.089999999999987 y[1] (closed_form) 0.33621649370673773 y[1] (numeric) 0.3362164937067342 absolute error 3.552713678800501e-15 relative error 1.0566744182096339e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] -1.079999999999988 y[1] (closed_form) 0.3395955256449432 y[1] (numeric) 0.33959552564494005 absolute error 3.164135620181696e-15 relative error 9.317365457546959e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0699999999999892 y[1] (closed_form) 0.34300851741871036 y[1] (numeric) 0.34300851741870764 absolute error 2.7200464103316335e-15 relative error 7.929967543666778e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0599999999999903 y[1] (closed_form) 0.3464558103300608 y[1] (numeric) 0.3464558103300584 absolute error 2.3869795029440866e-15 relative error 6.889708389274996e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0499999999999914 y[1] (closed_form) 0.3499377491111584 y[1] (numeric) 0.3499377491111564 absolute error 1.9984014443252818e-15 relative error 5.710734121715133e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0399999999999925 y[1] (closed_form) 0.3534546819587828 y[1] (numeric) 0.35345468195878116 absolute error 1.6653345369377348e-15 relative error 4.71159280649148e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0299999999999936 y[1] (closed_form) 0.35700696056914966 y[1] (numeric) 0.3570069605691484 absolute error 1.27675647831893e-15 relative error 3.5762789506498474e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0199999999999947 y[1] (closed_form) 0.3605949401730802 y[1] (numeric) 0.3605949401730793 absolute error 8.881784197001252e-16 relative error 2.463091742978459e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -1.0099999999999958 y[1] (closed_form) 0.3642189795715248 y[1] (numeric) 0.36421897957152444 absolute error 3.885780586188048e-16 relative error 1.066880312157089e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9999999999999968 y[1] (closed_form) 0.3678794411714435 y[1] (numeric) 0.3678794411714435 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] -0.9899999999999968 y[1] (closed_form) 0.3715766910220469 y[1] (numeric) 0.37157669102204693 absolute error 5.551115123125783e-17 relative error 1.493935237933538e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9799999999999968 y[1] (closed_form) 0.37531109885140074 y[1] (numeric) 0.3753110988514008 absolute error 5.551115123125783e-17 relative error 1.4790703339481228e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9699999999999968 y[1] (closed_form) 0.37908303810340005 y[1] (numeric) 0.3790830381034 absolute error 5.551115123125783e-17 relative error 1.4643533382286655e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9599999999999967 y[1] (closed_form) 0.3828928859751133 y[1] (numeric) 0.3828928859751132 absolute error 1.1102230246251565e-16 relative error 2.899565558126659e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9499999999999967 y[1] (closed_form) 0.38674102345450245 y[1] (numeric) 0.3867410234545023 absolute error 1.6653345369377348e-16 relative error 4.306071598152169e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9399999999999967 y[1] (closed_form) 0.39062783535852236 y[1] (numeric) 0.39062783535852214 absolute error 2.220446049250313e-16 relative error 5.684300626483426e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9299999999999967 y[1] (closed_form) 0.3945537103716024 y[1] (numeric) 0.3945537103716022 absolute error 2.220446049250313e-16 relative error 5.627740890230207e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9199999999999967 y[1] (closed_form) 0.39851904108451547 y[1] (numeric) 0.3985190410845153 absolute error 1.6653345369377348e-16 relative error 4.1788079495668585e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.9099999999999967 y[1] (closed_form) 0.4025242240336373 y[1] (numeric) 0.4025242240336372 absolute error 1.1102230246251565e-16 relative error 2.7581520771589135e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8999999999999967 y[1] (closed_form) 0.40656965974060044 y[1] (numeric) 0.4065696597406004 absolute error 5.551115123125783e-17 relative error 1.3653540027230525e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8899999999999967 y[1] (closed_form) 0.41065575275234684 y[1] (numeric) 0.4106557527523467 absolute error 1.1102230246251565e-16 relative error 2.7035370068094383e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8799999999999967 y[1] (closed_form) 0.41478291168158277 y[1] (numeric) 0.41478291168158254 absolute error 2.220446049250313e-16 relative error 5.3532727282528155e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8699999999999967 y[1] (closed_form) 0.4189515492476404 y[1] (numeric) 0.4189515492476402 absolute error 1.6653345369377348e-16 relative error 3.975005080965491e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8599999999999967 y[1] (closed_form) 0.4231620823177502 y[1] (numeric) 0.42316208231775004 absolute error 1.6653345369377348e-16 relative error 3.935453119561983e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8499999999999966 y[1] (closed_form) 0.4274149319487281 y[1] (numeric) 0.427414931948728 absolute error 1.1102230246251565e-16 relative error 2.597529804499991e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8399999999999966 y[1] (closed_form) 0.4317105234290811 y[1] (numeric) 0.431710523429081 absolute error 1.1102230246251565e-16 relative error 2.571683951103725e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8299999999999966 y[1] (closed_form) 0.43604928632153706 y[1] (numeric) 0.43604928632153694 absolute error 1.1102230246251565e-16 relative error 2.5460952682456464e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8199999999999966 y[1] (closed_form) 0.44043165450600075 y[1] (numeric) 0.4404316545060007 absolute error 5.551115123125783e-17 relative error 1.2603805985180728e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.8099999999999966 y[1] (closed_form) 0.44485806622294266 y[1] (numeric) 0.4448580662229426 absolute error 5.551115123125783e-17 relative error 1.2478396020234947e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7999999999999966 y[1] (closed_form) 0.4493289641172231 y[1] (numeric) 0.4493289641172232 absolute error 5.551115123125783e-17 relative error 1.2354233905289892e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7899999999999966 y[1] (closed_form) 0.4538447952823574 y[1] (numeric) 0.4538447952823575 absolute error 1.1102230246251565e-16 relative error 2.4462614448061184e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7799999999999966 y[1] (closed_form) 0.4584060113052251 y[1] (numeric) 0.4584060113052253 absolute error 1.6653345369377348e-16 relative error 3.632881105105945e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7699999999999966 y[1] (closed_form) 0.4630130683112297 y[1] (numeric) 0.46301306831122985 absolute error 1.6653345369377348e-16 relative error 3.596733334140635e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7599999999999966 y[1] (closed_form) 0.46766642700991085 y[1] (numeric) 0.467666427009911 absolute error 1.6653345369377348e-16 relative error 3.560945239506027e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7499999999999966 y[1] (closed_form) 0.47236655274101635 y[1] (numeric) 0.4723665527410166 absolute error 2.220446049250313e-16 relative error 4.700684323150444e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7399999999999965 y[1] (closed_form) 0.47711391552103605 y[1] (numeric) 0.4771139155210363 absolute error 2.7755575615628914e-16 relative error 5.817389665803023e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7299999999999965 y[1] (closed_form) 0.4819089900902041 y[1] (numeric) 0.4819089900902043 absolute error 2.220446049250313e-16 relative error 4.6076045371859283e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7199999999999965 y[1] (closed_form) 0.48675225595997335 y[1] (numeric) 0.48675225595997357 absolute error 2.220446049250313e-16 relative error 4.561758106022841e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.7099999999999965 y[1] (closed_form) 0.4916441974609668 y[1] (numeric) 0.4916441974609671 absolute error 2.7755575615628914e-16 relative error 5.645459818089792e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6999999999999965 y[1] (closed_form) 0.49658530379141125 y[1] (numeric) 0.49658530379141147 absolute error 2.220446049250313e-16 relative error 4.4714292434699255e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6899999999999965 y[1] (closed_form) 0.5015760690660573 y[1] (numeric) 0.5015760690660577 absolute error 3.3306690738754696e-16 relative error 6.640406668677852e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6799999999999965 y[1] (closed_form) 0.5066169923655914 y[1] (numeric) 0.5066169923655919 absolute error 4.440892098500626e-16 relative error 8.765778024468497e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6699999999999965 y[1] (closed_form) 0.5117085777865443 y[1] (numeric) 0.5117085777865447 absolute error 3.3306690738754696e-16 relative error 6.50891780685536e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6599999999999965 y[1] (closed_form) 0.5168513344917011 y[1] (numeric) 0.5168513344917014 absolute error 3.3306690738754696e-16 relative error 6.44415299256415e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6499999999999965 y[1] (closed_form) 0.5220457767610179 y[1] (numeric) 0.5220457767610182 absolute error 2.220446049250313e-16 relative error 4.2533550659615595e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6399999999999965 y[1] (closed_form) 0.5272924240430504 y[1] (numeric) 0.5272924240430505 absolute error 1.1102230246251565e-16 relative error 2.105516737965712e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6299999999999965 y[1] (closed_form) 0.5325918010068991 y[1] (numeric) 0.5325918010068992 absolute error 1.1102230246251565e-16 relative error 2.084566496379044e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.6199999999999964 y[1] (closed_form) 0.5379444375946764 y[1] (numeric) 0.5379444375946764 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] -0.6099999999999964 y[1] (closed_form) 0.5433508690745017 y[1] (numeric) 0.5433508690745018 absolute error 1.1102230246251565e-16 relative error 2.04328931417045e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5999999999999964 y[1] (closed_form) 0.5488116360940284 y[1] (numeric) 0.5488116360940284 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] -0.5899999999999964 y[1] (closed_form) 0.554327284734509 y[1] (numeric) 0.5543272847345089 absolute error 1.1102230246251565e-16 relative error 2.002829474931745e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5799999999999964 y[1] (closed_form) 0.559898366565404 y[1] (numeric) 0.5598983665654038 absolute error 2.220446049250313e-16 relative error 3.965801977368215e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5699999999999964 y[1] (closed_form) 0.5655254386995391 y[1] (numeric) 0.5655254386995388 absolute error 3.3306690738754696e-16 relative error 5.889512382563285e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5599999999999964 y[1] (closed_form) 0.571209063848817 y[1] (numeric) 0.5712090638488169 absolute error 1.1102230246251565e-16 relative error 1.9436369184068153e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5499999999999964 y[1] (closed_form) 0.5769498103804888 y[1] (numeric) 0.5769498103804885 absolute error 2.220446049250313e-16 relative error 3.848594815874826e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5399999999999964 y[1] (closed_form) 0.5827482523739917 y[1] (numeric) 0.5827482523739915 absolute error 2.220446049250313e-16 relative error 3.810300657624782e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5299999999999964 y[1] (closed_form) 0.5886049696783573 y[1] (numeric) 0.588604969678357 absolute error 3.3306690738754696e-16 relative error 5.6585812989236414e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5199999999999964 y[1] (closed_form) 0.5945205479701965 y[1] (numeric) 0.5945205479701962 absolute error 3.3306690738754696e-16 relative error 5.6022774742555026e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.5099999999999963 y[1] (closed_form) 0.6004955788122681 y[1] (numeric) 0.6004955788122678 absolute error 3.3306690738754696e-16 relative error 5.546533882003369e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.49999999999999634 y[1] (closed_form) 0.6065306597126356 y[1] (numeric) 0.6065306597126352 absolute error 4.440892098500626e-16 relative error 7.321793263682084e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4899999999999963 y[1] (closed_form) 0.6126263941844183 y[1] (numeric) 0.6126263941844178 absolute error 5.551115123125783e-16 relative error 9.061175254317782e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4799999999999963 y[1] (closed_form) 0.6187833918061432 y[1] (numeric) 0.6187833918061426 absolute error 5.551115123125783e-16 relative error 8.971015054109396e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4699999999999963 y[1] (closed_form) 0.6250022682827031 y[1] (numeric) 0.6250022682827026 absolute error 5.551115123125783e-16 relative error 8.881751962882291e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4599999999999963 y[1] (closed_form) 0.6312836455069283 y[1] (numeric) 0.631283645506928 absolute error 3.3306690738754696e-16 relative error 5.276026232551776e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4499999999999963 y[1] (closed_form) 0.6376281516217757 y[1] (numeric) 0.6376281516217753 absolute error 3.3306690738754696e-16 relative error 5.223528894394135e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4399999999999963 y[1] (closed_form) 0.6440364210831437 y[1] (numeric) 0.6440364210831434 absolute error 3.3306690738754696e-16 relative error 5.171553913478889e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.4299999999999963 y[1] (closed_form) 0.650509094723319 y[1] (numeric) 0.6505090947233187 absolute error 2.220446049250313e-16 relative error 3.413397394843089e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.41999999999999627 y[1] (closed_form) 0.6570468198150592 y[1] (numeric) 0.6570468198150591 absolute error 1.1102230246251565e-16 relative error 1.6897167616421217e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.40999999999999626 y[1] (closed_form) 0.6636502501363218 y[1] (numeric) 0.6636502501363215 absolute error 3.3306690738754696e-16 relative error 5.0187113968408955e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.39999999999999625 y[1] (closed_form) 0.6703200460356418 y[1] (numeric) 0.6703200460356413 absolute error 4.440892098500626e-16 relative error 6.625032512103179e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.38999999999999624 y[1] (closed_form) 0.6770568744981672 y[1] (numeric) 0.6770568744981668 absolute error 4.440892098500626e-16 relative error 6.559112337190586e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.37999999999999623 y[1] (closed_form) 0.6838614092123584 y[1] (numeric) 0.6838614092123579 absolute error 4.440892098500626e-16 relative error 6.493848078977656e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3699999999999962 y[1] (closed_form) 0.6907343306373572 y[1] (numeric) 0.6907343306373569 absolute error 3.3306690738754696e-16 relative error 4.821924908238137e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3599999999999962 y[1] (closed_form) 0.6976763260710337 y[1] (numeric) 0.6976763260710332 absolute error 4.440892098500626e-16 relative error 6.36526127166952e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3499999999999962 y[1] (closed_form) 0.7046880897187161 y[1] (numeric) 0.7046880897187155 absolute error 5.551115123125783e-16 relative error 7.877407329733032e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3399999999999962 y[1] (closed_form) 0.7117703227626124 y[1] (numeric) 0.7117703227626118 absolute error 6.661338147750939e-16 relative error 9.358830980611999e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3299999999999962 y[1] (closed_form) 0.718923733431929 y[1] (numeric) 0.7189237334319282 absolute error 7.771561172376096e-16 relative error 1.0809993899181718e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.3199999999999962 y[1] (closed_form) 0.7261490370736937 y[1] (numeric) 0.726149037073693 absolute error 6.661338147750939e-16 relative error 9.173513710898041e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.30999999999999617 y[1] (closed_form) 0.7334469562242921 y[1] (numeric) 0.7334469562242913 absolute error 7.771561172376096e-16 relative error 1.0595941678432039e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.29999999999999616 y[1] (closed_form) 0.7408182206817208 y[1] (numeric) 0.74081822068172 absolute error 7.771561172376096e-16 relative error 1.049051029714752e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.28999999999999615 y[1] (closed_form) 0.748263567578568 y[1] (numeric) 0.7482635675785675 absolute error 5.551115123125783e-16 relative error 7.418662839739171e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.27999999999999614 y[1] (closed_form) 0.7557837414557284 y[1] (numeric) 0.7557837414557278 absolute error 5.551115123125783e-16 relative error 7.344845911124898e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.26999999999999613 y[1] (closed_form) 0.7633794943368561 y[1] (numeric) 0.7633794943368555 absolute error 6.661338147750939e-16 relative error 8.726116167866953e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2599999999999961 y[1] (closed_form) 0.7710515858035693 y[1] (numeric) 0.7710515858035685 absolute error 7.771561172376096e-16 relative error 1.0079171504818039e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.24999999999999611 y[1] (closed_form) 0.7788007830714079 y[1] (numeric) 0.7788007830714069 absolute error 9.992007221626409e-16 relative error 1.282999123629572e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2399999999999961 y[1] (closed_form) 0.7866278610665565 y[1] (numeric) 0.7866278610665556 absolute error 8.881784197001252e-16 relative error 1.1290960613775878e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2299999999999961 y[1] (closed_form) 0.7945336025033372 y[1] (numeric) 0.794533602503336 absolute error 1.1102230246251565e-15 relative error 1.3973267098171514e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.2199999999999961 y[1] (closed_form) 0.8025187979624816 y[1] (numeric) 0.8025187979624807 absolute error 8.881784197001252e-16 relative error 1.1067384613981943e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.20999999999999608 y[1] (closed_form) 0.8105842459701903 y[1] (numeric) 0.8105842459701893 absolute error 9.992007221626409e-16 relative error 1.2326920084249787e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.19999999999999607 y[1] (closed_form) 0.818730753077985 y[1] (numeric) 0.8187307530779843 absolute error 7.771561172376096e-16 relative error 9.492206251150609e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.18999999999999606 y[1] (closed_form) 0.8269591339433656 y[1] (numeric) 0.8269591339433647 absolute error 8.881784197001252e-16 relative error 1.0740293966702256e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.17999999999999605 y[1] (closed_form) 0.8352702114112753 y[1] (numeric) 0.8352702114112746 absolute error 7.771561172376096e-16 relative error 9.304247974131916e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -0.16999999999999604 y[1] (closed_form) 0.843664816596387 y[1] (numeric) 0.8436648165963859 absolute error 1.1102230246251565e-15 relative error 1.3159527371357624e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.15999999999999603 y[1] (closed_form) 0.8521437889662147 y[1] (numeric) 0.8521437889662135 absolute error 1.2212453270876722e-15 relative error 1.4331446674853268e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.14999999999999603 y[1] (closed_form) 0.8607079764250612 y[1] (numeric) 0.8607079764250598 absolute error 1.4432899320127035e-15 relative error 1.676863665197328e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.13999999999999602 y[1] (closed_form) 0.8693582353988093 y[1] (numeric) 0.8693582353988076 absolute error 1.6653345369377348e-15 relative error 1.915590684171502e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.129999999999996 y[1] (closed_form) 0.8780954309205649 y[1] (numeric) 0.8780954309205631 absolute error 1.7763568394002505e-15 relative error 2.022965587621814e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.119999999999996 y[1] (closed_form) 0.886920436717161 y[1] (numeric) 0.8869204367171594 absolute error 1.6653345369377348e-15 relative error 1.877659447223686e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.10999999999999599 y[1] (closed_form) 0.8958341352965319 y[1] (numeric) 0.89583413529653 absolute error 1.887379141862766e-15 relative error 2.1068399467028804e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.09999999999999598 y[1] (closed_form) 0.9048374180359632 y[1] (numeric) 0.9048374180359614 absolute error 1.7763568394002505e-15 relative error 1.9631779190299228e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.08999999999999597 y[1] (closed_form) 0.9139311852712318 y[1] (numeric) 0.9139311852712301 absolute error 1.7763568394002505e-15 relative error 1.9436439723556126e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.07999999999999596 y[1] (closed_form) 0.9231163463866395 y[1] (numeric) 0.9231163463866375 absolute error 1.9984014443252818e-15 relative error 2.1648424406605277e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.06999999999999595 y[1] (closed_form) 0.932393819905952 y[1] (numeric) 0.9323938199059499 absolute error 2.1094237467877974e-15 relative error 2.262374226161826e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.059999999999995945 y[1] (closed_form) 0.9417645335842525 y[1] (numeric) 0.9417645335842503 absolute error 2.220446049250313e-15 relative error 2.3577507647262304e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.04999999999999594 y[1] (closed_form) 0.9512294245007179 y[1] (numeric) 0.9512294245007156 absolute error 2.3314683517128287e-15 relative error 2.451005290271137e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.03999999999999593 y[1] (closed_form) 0.9607894391523272 y[1] (numeric) 0.9607894391523246 absolute error 2.55351295663786e-15 relative error 2.657723797308534e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.02999999999999592 y[1] (closed_form) 0.9704455335485122 y[1] (numeric) 0.9704455335485097 absolute error 2.4424906541753444e-15 relative error 2.5168755687340647e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.01999999999999591 y[1] (closed_form) 0.9801986733067594 y[1] (numeric) 0.9801986733067569 absolute error 2.4424906541753444e-15 relative error 2.491832238392503e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] -0.009999999999995901 y[1] (closed_form) 0.9900498337491721 y[1] (numeric) 0.9900498337491697 absolute error 2.4424906541753444e-15 relative error 2.4670380933513153e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.100886297209172e-15 y[1] (closed_form) 1.000000000000004 y[1] (numeric) 1.0000000000000018 absolute error 2.220446049250313e-15 relative error 2.2204460492503042e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.010000000000004103 y[1] (closed_form) 1.0100501670841722 y[1] (numeric) 1.01005016708417 absolute error 2.220446049250313e-15 relative error 2.1983522419092605e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.02000000000000411 y[1] (closed_form) 1.02020134002676 y[1] (numeric) 1.0202013400267576 absolute error 2.4424906541753444e-15 relative error 2.394126098786812e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.03000000000000412 y[1] (closed_form) 1.0304545339535212 y[1] (numeric) 1.0304545339535187 absolute error 2.4424906541753444e-15 relative error 2.370304146078427e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.04000000000000413 y[1] (closed_form) 1.0408107741923924 y[1] (numeric) 1.0408107741923898 absolute error 2.6645352591003757e-15 relative error 2.5600573371926297e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.05000000000000414 y[1] (closed_form) 1.0512710963760283 y[1] (numeric) 1.0512710963760257 absolute error 2.6645352591003757e-15 relative error 2.534584341075901e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.06000000000000415 y[1] (closed_form) 1.061836546545364 y[1] (numeric) 1.0618365465453616 absolute error 2.4424906541753444e-15 relative error 2.30025107171332e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.07000000000000416 y[1] (closed_form) 1.072508181254221 y[1] (numeric) 1.0725081812542185 absolute error 2.4424906541753444e-15 relative error 2.2773631911311183e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.08000000000000417 y[1] (closed_form) 1.083287067674963 y[1] (numeric) 1.0832870676749609 absolute error 2.220446049250313e-15 relative error 2.0497300443325803e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.09000000000000417 y[1] (closed_form) 1.0941742837052149 y[1] (numeric) 1.094174283705213 absolute error 1.7763568394002505e-15 relative error 1.623467911697717e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.10000000000000418 y[1] (closed_form) 1.1051709180756522 y[1] (numeric) 1.1051709180756504 absolute error 1.7763568394002505e-15 relative error 1.6073141360734338e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000419 y[1] (closed_form) 1.116278070458876 y[1] (numeric) 1.116278070458874 absolute error 1.9984014443252818e-15 relative error 1.7902362298524645e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1200000000000042 y[1] (closed_form) 1.1274968515793804 y[1] (numeric) 1.1274968515793786 absolute error 1.7763568394002505e-15 relative error 1.5754871837663732e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1300000000000042 y[1] (closed_form) 1.1388283833246267 y[1] (numeric) 1.1388283833246249 absolute error 1.7763568394002505e-15 relative error 1.5598108243618427e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1400000000000042 y[1] (closed_form) 1.150273798857232 y[1] (numeric) 1.15027379885723 absolute error 1.9984014443252818e-15 relative error 1.7373267532570447e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.1500000000000042 y[1] (closed_form) 1.161834242728288 y[1] (numeric) 1.161834242728286 absolute error 1.9984014443252818e-15 relative error 1.720040063230119e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000422 y[1] (closed_form) 1.1735108709918152 y[1] (numeric) 1.1735108709918132 absolute error 1.9984014443252818e-15 relative error 1.7029253786428877e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000423 y[1] (closed_form) 1.1853048513203706 y[1] (numeric) 1.1853048513203688 absolute error 1.7763568394002505e-15 relative error 1.4986497671223378e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000424 y[1] (closed_form) 1.1972173631218153 y[1] (numeric) 1.1972173631218135 absolute error 1.7763568394002505e-15 relative error 1.4837379527877e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000425 y[1] (closed_form) 1.2092495976572566 y[1] (numeric) 1.2092495976572546 absolute error 1.9984014443252818e-15 relative error 1.6525963276703923e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.20000000000000426 y[1] (closed_form) 1.221402758160175 y[1] (numeric) 1.2214027581601732 absolute error 1.7763568394002505e-15 relative error 1.4543579728573847e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.21000000000000427 y[1] (closed_form) 1.2336780599567485 y[1] (numeric) 1.2336780599567463 absolute error 2.220446049250313e-15 relative error 1.7998585865490384e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.22000000000000428 y[1] (closed_form) 1.246076730587386 y[1] (numeric) 1.2460767305873839 absolute error 2.220446049250313e-15 relative error 1.781949694384888e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000428 y[1] (closed_form) 1.2586000099294832 y[1] (numeric) 1.258600009929481 absolute error 2.220446049250313e-15 relative error 1.764218998675139e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2400000000000043 y[1] (closed_form) 1.27124915032141 y[1] (numeric) 1.2712491503214078 absolute error 2.220446049250313e-15 relative error 1.7466647263354452e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000043 y[1] (closed_form) 1.284025416687747 y[1] (numeric) 1.284025416687745 absolute error 1.9984014443252818e-15 relative error 1.5563566097315492e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000043 y[1] (closed_form) 1.2969300866657774 y[1] (numeric) 1.2969300866657751 absolute error 2.220446049250313e-15 relative error 1.71207844746571e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2700000000000043 y[1] (closed_form) 1.309964450733253 y[1] (numeric) 1.309964450733251 absolute error 1.9984014443252818e-15 relative error 1.525538684051064e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2800000000000043 y[1] (closed_form) 1.3231298123374426 y[1] (numeric) 1.3231298123374406 absolute error 1.9984014443252818e-15 relative error 1.5103593205226806e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2900000000000043 y[1] (closed_form) 1.3364274880254778 y[1] (numeric) 1.3364274880254754 absolute error 2.4424906541753444e-15 relative error 1.827626770670539e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3000000000000043 y[1] (closed_form) 1.349858807576009 y[1] (numeric) 1.3498588075760063 absolute error 2.6645352591003757e-15 relative error 1.973936269590432e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3100000000000043 y[1] (closed_form) 1.3634251141321836 y[1] (numeric) 1.363425114132181 absolute error 2.6645352591003757e-15 relative error 1.9542952755394603e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.32000000000000434 y[1] (closed_form) 1.377127764335963 y[1] (numeric) 1.37712776433596 absolute error 2.886579864025407e-15 relative error 2.096087188698346e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.33000000000000435 y[1] (closed_form) 1.3909681284637863 y[1] (numeric) 1.3909681284637831 absolute error 3.1086244689504383e-15 relative error 2.2348639090556784e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.34000000000000435 y[1] (closed_form) 1.4049475905636 y[1] (numeric) 1.4049475905635966 absolute error 3.3306690738754696e-15 relative error 2.370671401727775e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.35000000000000436 y[1] (closed_form) 1.4190675485932633 y[1] (numeric) 1.41906754859326 absolute error 3.3306690738754696e-15 relative error 2.347082827154491e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.36000000000000437 y[1] (closed_form) 1.4333294145603466 y[1] (numeric) 1.433329414560343 absolute error 3.552713678800501e-15 relative error 2.4786442270078196e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000044 y[1] (closed_form) 1.4477346146633308 y[1] (numeric) 1.4477346146633272 absolute error 3.552713678800501e-15 relative error 2.453981304872427e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000044 y[1] (closed_form) 1.462284589434231 y[1] (numeric) 1.4622845894342273 absolute error 3.552713678800501e-15 relative error 2.4295637829125127e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3900000000000044 y[1] (closed_form) 1.4769807938826491 y[1] (numeric) 1.4769807938826454 absolute error 3.774758283725532e-15 relative error 2.555726045565254e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4000000000000044 y[1] (closed_form) 1.4918246976412768 y[1] (numeric) 1.4918246976412735 absolute error 3.3306690738754696e-15 relative error 2.2326142469296752e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4100000000000044 y[1] (closed_form) 1.5068177851128601 y[1] (numeric) 1.5068177851128566 absolute error 3.552713678800501e-15 relative error 2.3577593215986657e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4200000000000044 y[1] (closed_form) 1.5219615556186405 y[1] (numeric) 1.5219615556186368 absolute error 3.774758283725532e-15 relative error 2.480192925892392e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000443 y[1] (closed_form) 1.5372575235482882 y[1] (numeric) 1.5372575235482844 absolute error 3.774758283725532e-15 relative error 2.455514593945625e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.44000000000000444 y[1] (closed_form) 1.5527072185113429 y[1] (numeric) 1.5527072185113389 absolute error 3.9968028886505635e-15 relative error 2.5740866281812586e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.45000000000000445 y[1] (closed_form) 1.5683121854901758 y[1] (numeric) 1.5683121854901718 absolute error 3.9968028886505635e-15 relative error 2.548474038286812e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.46000000000000446 y[1] (closed_form) 1.584073984994489 y[1] (numeric) 1.5840739849944852 absolute error 3.774758283725532e-15 relative error 2.3829431702577105e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.47000000000000447 y[1] (closed_form) 1.5999941932173674 y[1] (numeric) 1.599994193217364 absolute error 3.3306690738754696e-15 relative error 2.0816757260712017e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000045 y[1] (closed_form) 1.6160744021929005 y[1] (numeric) 1.6160744021928972 absolute error 3.3306690738754696e-15 relative error 2.060962706516472e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000045 y[1] (closed_form) 1.6323162199553862 y[1] (numeric) 1.6323162199553825 absolute error 3.774758283725532e-15 relative error 2.3125165562765175e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000044 y[1] (closed_form) 1.6487212707001355 y[1] (numeric) 1.6487212707001317 absolute error 3.774758283725532e-15 relative error 2.2895066320837647e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000044 y[1] (closed_form) 1.6652911949458937 y[1] (numeric) 1.66529119494589 absolute error 3.774758283725532e-15 relative error 2.266725660462149e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000045 y[1] (closed_form) 1.682027649698894 y[1] (numeric) 1.68202764969889 absolute error 3.9968028886505635e-15 relative error 2.3761814434893777e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000045 y[1] (closed_form) 1.6989323086185582 y[1] (numeric) 1.6989323086185546 absolute error 3.552713678800501e-15 relative error 2.0911449271862374e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000045 y[1] (closed_form) 1.716006862184866 y[1] (numeric) 1.7160068621848625 absolute error 3.552713678800501e-15 relative error 2.0703376875061504e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000045 y[1] (closed_form) 1.733253017867403 y[1] (numeric) 1.733253017867399 absolute error 3.9968028886505635e-15 relative error 2.3059546687351135e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000045 y[1] (closed_form) 1.750672500296109 y[1] (numeric) 1.7506725002961052 absolute error 3.774758283725532e-15 relative error 2.1561761455024107e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000045 y[1] (closed_form) 1.768267051433743 y[1] (numeric) 1.7682670514337393 absolute error 3.774758283725532e-15 relative error 2.1347218343885838e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000045 y[1] (closed_form) 1.7860384307500814 y[1] (numeric) 1.7860384307500776 absolute error 3.774758283725532e-15 relative error 2.1134809972371364e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000045 y[1] (closed_form) 1.8039884153978651 y[1] (numeric) 1.8039884153978616 absolute error 3.552713678800501e-15 relative error 1.9693661270086144e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000045 y[1] (closed_form) 1.8221188003905173 y[1] (numeric) 1.8221188003905138 absolute error 3.552713678800501e-15 relative error 1.9497706066361215e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000045 y[1] (closed_form) 1.8404313987816459 y[1] (numeric) 1.8404313987816423 absolute error 3.552713678800501e-15 relative error 1.9303700649491066e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000045 y[1] (closed_form) 1.8589280418463505 y[1] (numeric) 1.8589280418463467 absolute error 3.774758283725532e-15 relative error 2.030610221994561e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000046 y[1] (closed_form) 1.8776105792643516 y[1] (numeric) 1.8776105792643476 absolute error 3.9968028886505635e-15 relative error 2.1286644487359632e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000046 y[1] (closed_form) 1.8964808793049601 y[1] (numeric) 1.8964808793049557 absolute error 4.440892098500626e-15 relative error 2.341648759532005e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000046 y[1] (closed_form) 1.9155408290139049 y[1] (numeric) 1.9155408290139007 absolute error 4.218847493575595e-15 relative error 2.202431516819927e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000046 y[1] (closed_form) 1.9347923344020403 y[1] (numeric) 1.934792334402036 absolute error 4.440892098500626e-15 relative error 2.295281007443681e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000046 y[1] (closed_form) 1.9542373206359485 y[1] (numeric) 1.9542373206359442 absolute error 4.218847493575595e-15 relative error 2.1588204508358772e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000046 y[1] (closed_form) 1.9738777322304566 y[1] (numeric) 1.9738777322304522 absolute error 4.440892098500626e-15 relative error 2.2498313983624887e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000046 y[1] (closed_form) 1.9937155332430916 y[1] (numeric) 1.9937155332430867 absolute error 4.884981308350689e-15 relative error 2.450189722103684e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000046 y[1] (closed_form) 2.013752707470486 y[1] (numeric) 2.013752707470481 absolute error 4.884981308350689e-15 relative error 2.4258099270226724e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000046 y[1] (closed_form) 2.03399125864676 y[1] (numeric) 2.033991258646755 absolute error 4.884981308350689e-15 relative error 2.4016727149558786e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000046 y[1] (closed_form) 2.0544332106438974 y[1] (numeric) 2.0544332106438925 absolute error 4.884981308350689e-15 relative error 2.3777756721619806e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000046 y[1] (closed_form) 2.075080607674132 y[1] (numeric) 2.0750806076741273 absolute error 4.884981308350689e-15 relative error 2.3541164089167855e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000047 y[1] (closed_form) 2.095935514494374 y[1] (numeric) 2.095935514494369 absolute error 4.884981308350689e-15 relative error 2.330692559274252e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000047 y[1] (closed_form) 2.1170000166126846 y[1] (numeric) 2.1170000166126792 absolute error 5.329070518200751e-15 relative error 2.51727466999625e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000047 y[1] (closed_form) 2.1382762204968286 y[1] (numeric) 2.1382762204968224 absolute error 6.217248937900877e-15 relative error 2.907598596619242e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000047 y[1] (closed_form) 2.159766253784925 y[1] (numeric) 2.1597662537849187 absolute error 6.217248937900877e-15 relative error 2.8786675071921956e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000047 y[1] (closed_form) 2.1814722654982113 y[1] (numeric) 2.181472265498205 absolute error 6.217248937900877e-15 relative error 2.850024286914765e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000047 y[1] (closed_form) 2.203396426255947 y[1] (numeric) 2.2033964262559413 absolute error 5.773159728050814e-15 relative error 2.62011849490955e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000047 y[1] (closed_form) 2.225540928492478 y[1] (numeric) 2.2255409284924723 absolute error 5.773159728050814e-15 relative error 2.594047880288321e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000047 y[1] (closed_form) 2.247907986676482 y[1] (numeric) 2.247907986676477 absolute error 4.884981308350689e-15 relative error 2.1731233383680902e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000047 y[1] (closed_form) 2.2704998375324164 y[1] (numeric) 2.270499837532412 absolute error 4.440892098500626e-15 relative error 1.9559094544252406e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000047 y[1] (closed_form) 2.2933187402641937 y[1] (numeric) 2.293318740264189 absolute error 4.884981308350689e-15 relative error 2.130092613200349e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000047 y[1] (closed_form) 2.3163669767811026 y[1] (numeric) 2.3163669767810977 absolute error 4.884981308350689e-15 relative error 2.1088978375693364e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000048 y[1] (closed_form) 2.339646851926002 y[1] (numeric) 2.339646851925998 absolute error 3.9968028886505635e-15 relative error 1.708293234665047e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000048 y[1] (closed_form) 2.3631606937058063 y[1] (numeric) 2.3631606937058023 absolute error 3.9968028886505635e-15 relative error 1.691295432974958e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000048 y[1] (closed_form) 2.386910853524288 y[1] (numeric) 2.386910853524284 absolute error 3.9968028886505635e-15 relative error 1.6744667622375844e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000048 y[1] (closed_form) 2.4108997064172213 y[1] (numeric) 2.4108997064172173 absolute error 3.9968028886505635e-15 relative error 1.6578055395718282e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000048 y[1] (closed_form) 2.4351296512898863 y[1] (numeric) 2.435129651289882 absolute error 4.440892098500626e-15 relative error 1.823677887601709e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000048 y[1] (closed_form) 2.4596031111569614 y[1] (numeric) 2.4596031111569574 absolute error 3.9968028886505635e-15 relative error 1.6249787904888956e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000048 y[1] (closed_form) 2.4843225333848284 y[1] (numeric) 2.4843225333848244 absolute error 3.9968028886505635e-15 relative error 1.6088099813694552e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000048 y[1] (closed_form) 2.50929038993631 y[1] (numeric) 2.509290389936306 absolute error 3.9968028886505635e-15 relative error 1.592802054588831e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000048 y[1] (closed_form) 2.534509177617867 y[1] (numeric) 2.5345091776178634 absolute error 3.552713678800501e-15 relative error 1.4017363638586716e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000048 y[1] (closed_form) 2.5599814183292837 y[1] (numeric) 2.5599814183292797 absolute error 3.9968028886505635e-15 relative error 1.5612624607482465e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000048 y[1] (closed_form) 2.585709659315859 y[1] (numeric) 2.5857096593158544 absolute error 4.440892098500626e-15 relative error 1.7174751552251314e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000048 y[1] (closed_form) 2.6116964734231303 y[1] (numeric) 2.6116964734231263 absolute error 3.9968028886505635e-15 relative error 1.5303473927090712e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000049 y[1] (closed_form) 2.6379444593541654 y[1] (numeric) 2.637944459354161 absolute error 4.440892098500626e-15 relative error 1.6834668685889874e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000049 y[1] (closed_form) 2.66445624192943 y[1] (numeric) 2.6644562419294258 absolute error 4.440892098500626e-15 relative error 1.6667160933687594e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000049 y[1] (closed_form) 2.6912344723492754 y[1] (numeric) 2.6912344723492714 absolute error 3.9968028886505635e-15 relative error 1.485118792032123e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000049 y[1] (closed_form) 2.7182818284590584 y[1] (numeric) 2.718281828459055 absolute error 3.552713678800501e-15 relative error 1.3069703227992609e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0100000000000038 y[1] (closed_form) 2.745601015016927 y[1] (numeric) 2.745601015016926 absolute error 8.881784197001252e-16 relative error 3.234914377006265e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0200000000000027 y[1] (closed_form) 2.7731947639643053 y[1] (numeric) 2.773194763964308 absolute error 2.6645352591003757e-15 relative error 9.60817932344355e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0300000000000016 y[1] (closed_form) 2.8010658346990835 y[1] (numeric) 2.801065834699089 absolute error 5.329070518200751e-15 relative error 1.9025152683614983e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0400000000000005 y[1] (closed_form) 2.8292170143515607 y[1] (numeric) 2.8292170143515696 absolute error 8.881784197001252e-15 relative error 3.1393082085775957e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999994 y[1] (closed_form) 2.857651118063162 y[1] (numeric) 2.8576511180631745 absolute error 1.2434497875801753e-14 relative error 4.351300197985511e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0599999999999983 y[1] (closed_form) 2.886370989267953 y[1] (numeric) 2.8863709892679683 absolute error 1.509903313490213e-14 relative error 5.231147759952913e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0699999999999972 y[1] (closed_form) 2.9153794999769884 y[1] (numeric) 2.915379499977006 absolute error 1.7763568394002505e-14 relative error 6.093055258892613e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.079999999999996 y[1] (closed_form) 2.944679551065512 y[1] (numeric) 2.9446795510655335 absolute error 2.1316282072803006e-14 relative error 7.238914015309359e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.089999999999995 y[1] (closed_form) 2.9742740725630505 y[1] (numeric) 2.9742740725630745 absolute error 2.398081733190338e-14 relative error 8.062746319554255e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999939 y[1] (closed_form) 3.0041660239464147 y[1] (numeric) 3.004166023946442 absolute error 2.708944180085382e-14 relative error 9.017291849026321e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999928 y[1] (closed_form) 3.0343583944356536 y[1] (numeric) 3.0343583944356847 absolute error 3.108624468950438e-14 relative error 1.0244750503602253e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999917 y[1] (closed_form) 3.0648542032929766 y[1] (numeric) 3.0648542032930117 absolute error 3.5083047578154947e-14 relative error 1.1446889558550813e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999906 y[1] (closed_form) 3.095656500124682 y[1] (numeric) 3.0956565001247216 absolute error 3.952393967665557e-14 relative error 1.2767546940386857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999895 y[1] (closed_form) 3.126768365186123 y[1] (numeric) 3.126768365186166 absolute error 4.3076653355456074e-14 relative error 1.377673313926211e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999884 y[1] (closed_form) 3.1581929096897308 y[1] (numeric) 3.158192909689778 absolute error 4.707345624410664e-14 relative error 1.490518710864032e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1599999999999873 y[1] (closed_form) 3.189933276116144 y[1] (numeric) 3.1899332761161947 absolute error 5.062616992290714e-14 relative error 1.587060466184618e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1699999999999862 y[1] (closed_form) 3.221992638528455 y[1] (numeric) 3.2219926385285103 absolute error 5.5067062021407764e-14 relative error 1.709099560406132e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.179999999999985 y[1] (closed_form) 3.2543742028896223 y[1] (numeric) 3.254374202889681 absolute error 5.861977570020827e-14 relative error 1.8012610734241508e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.189999999999984 y[1] (closed_form) 3.2870812073830655 y[1] (numeric) 3.2870812073831286 absolute error 6.306066779870889e-14 relative error 1.918439607061403e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999829 y[1] (closed_form) 3.3201169227364904 y[1] (numeric) 3.3201169227365575 absolute error 6.705747068735946e-14 relative error 2.0197322036505173e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999818 y[1] (closed_form) 3.3534846525489623 y[1] (numeric) 3.3534846525490334 absolute error 7.105427357601002e-14 relative error 2.118819107223351e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999807 y[1] (closed_form) 3.387187733621269 y[1] (numeric) 3.3871877336213445 absolute error 7.549516567451064e-14 relative error 2.2288450364042318e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999796 y[1] (closed_form) 3.4212295362896037 y[1] (numeric) 3.4212295362896836 absolute error 7.993605777301127e-14 relative error 2.336471637612004e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999785 y[1] (closed_form) 3.4556134647626013 y[1] (numeric) 3.4556134647626853 absolute error 8.393286066166183e-14 relative error 2.428884524196284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999774 y[1] (closed_form) 3.4903429574617624 y[1] (numeric) 3.490342957461851 absolute error 8.881784197001252e-14 relative error 2.544673777117948e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2599999999999763 y[1] (closed_form) 3.5254214873652985 y[1] (numeric) 3.525421487365392 absolute error 9.370282327836321e-14 relative error 2.657918311730477e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2699999999999751 y[1] (closed_form) 3.560852562355432 y[1] (numeric) 3.5608525623555303 absolute error 9.814371537686384e-14 relative error 2.7561858756641063e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.279999999999974 y[1] (closed_form) 3.596639725569188 y[1] (numeric) 3.5966397255692915 absolute error 1.0347278589506459e-13 relative error 2.876929406063585e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.289999999999973 y[1] (closed_form) 3.632786555752711 y[1] (numeric) 3.6327865557528196 absolute error 1.0880185641326534e-13 relative error 2.9949972216499154e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999718 y[1] (closed_form) 3.669296667619141 y[1] (numeric) 3.6692966676192547 absolute error 1.1368683772161603e-13 relative error 3.098327772863971e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999707 y[1] (closed_form) 3.70617371221009 y[1] (numeric) 3.7061737122102087 absolute error 1.1857181902996672e-13 relative error 3.1993054896301442e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999696 y[1] (closed_form) 3.743421377260749 y[1] (numeric) 3.743421377260872 absolute error 1.2301271112846734e-13 relative error 3.286103773294204e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999685 y[1] (closed_form) 3.781043387568662 y[1] (numeric) 3.7810433875687908 absolute error 1.2878587085651816e-13 relative error 3.4060934418245807e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999674 y[1] (closed_form) 3.8190435053662113 y[1] (numeric) 3.8190435053663463 absolute error 1.3500311979441904e-13 relative error 3.534998216300065e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999663 y[1] (closed_form) 3.8574255306968444 y[1] (numeric) 3.8574255306969847 absolute error 1.4033219031261979e-13 relative error 3.637975359365363e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3599999999999652 y[1] (closed_form) 3.896193301795079 y[1] (numeric) 3.8961933017952255 absolute error 1.4654943925052066e-13 relative error 3.761349294014788e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3699999999999641 y[1] (closed_form) 3.9353506954703317 y[1] (numeric) 3.935350695470484 absolute error 1.5232259897857148e-13 relative error 3.870623249762668e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.379999999999963 y[1] (closed_form) 3.974901627494601 y[1] (numeric) 3.9749016274947593 absolute error 1.580957587066223e-13 relative error 3.977350222029791e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.389999999999962 y[1] (closed_form) 4.014850052994049 y[1] (numeric) 4.014850052994213 absolute error 1.6342482922482304e-13 relative error 4.07050891235527e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999608 y[1] (closed_form) 4.055199966844516 y[1] (numeric) 4.055199966844685 absolute error 1.6964207816272392e-13 relative error 4.183322143167406e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999597 y[1] (closed_form) 4.095955404071011 y[1] (numeric) 4.095955404071186 absolute error 1.7497114868092467e-13 relative error 4.271803069609085e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999586 y[1] (closed_form) 4.137120440251222 y[1] (numeric) 4.1371204402514 absolute error 1.7852386235972517e-13 relative error 4.3151719882944605e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999575 y[1] (closed_form) 4.1786991919230685 y[1] (numeric) 4.178699191923254 absolute error 1.8562928971732617e-13 relative error 4.442274525912888e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999564 y[1] (closed_form) 4.220695816996369 y[1] (numeric) 4.220695816996559 absolute error 1.900701818158268e-13 relative error 4.5032902169929175e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4499999999999553 y[1] (closed_form) 4.263114515168627 y[1] (numeric) 4.263114515168825 absolute error 1.9806378759312793e-13 relative error 4.645987971667084e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4599999999999542 y[1] (closed_form) 4.305959528345009 y[1] (numeric) 4.305959528345213 absolute error 2.0339285811132868e-13 relative error 4.723519967441554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4699999999999531 y[1] (closed_form) 4.349235141062537 y[1] (numeric) 4.349235141062747 absolute error 2.0961010704922955e-13 relative error 4.819470556333749e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.479999999999952 y[1] (closed_form) 4.392945680918546 y[1] (numeric) 4.392945680918762 absolute error 2.1671553440683056e-13 relative error 4.933262328923591e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.489999999999951 y[1] (closed_form) 4.437095519003447 y[1] (numeric) 4.43709551900367 absolute error 2.2293278334473143e-13 relative error 5.024295338920295e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999498 y[1] (closed_form) 4.48168907033784 y[1] (numeric) 4.481689070338071 absolute error 2.3092638912203256e-13 relative error 5.1526642187300336e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999487 y[1] (closed_form) 4.5267307943140205 y[1] (numeric) 4.5267307943142585 absolute error 2.3803181647963356e-13 relative error 5.258360333214929e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999476 y[1] (closed_form) 4.57222519514192 y[1] (numeric) 4.572225195142166 absolute error 2.460254222569347e-13 relative error 5.380868434003242e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999465 y[1] (closed_form) 4.618176822299533 y[1] (numeric) 4.6181768222997865 absolute error 2.531308496145357e-13 relative error 5.481185743955425e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999454 y[1] (closed_form) 4.664590270987872 y[1] (numeric) 4.664590270988133 absolute error 2.611244553918368e-13 relative error 5.59801483564248e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5499999999999443 y[1] (closed_form) 4.711470182590479 y[1] (numeric) 4.711470182590748 absolute error 2.6911806116913795e-13 relative error 5.711976320333421e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5599999999999432 y[1] (closed_form) 4.758821245137584 y[1] (numeric) 4.758821245137861 absolute error 2.7711166694643907e-13 relative error 5.823115697602282e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999942 y[1] (closed_form) 4.8066481937749 y[1] (numeric) 4.806648193775186 absolute error 2.859934511434403e-13 relative error 5.949955969605411e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.579999999999941 y[1] (closed_form) 4.854955811237147 y[1] (numeric) 4.854955811237442 absolute error 2.948752353404416e-13 relative error 6.073695555743916e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.58999999999994 y[1] (closed_form) 4.903748928326327 y[1] (numeric) 4.90374892832663 absolute error 3.028688411177427e-13 relative error 6.176271370017169e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999388 y[1] (closed_form) 4.953032424394812 y[1] (numeric) 4.953032424395122 absolute error 3.099742684753437e-13 relative error 6.25827254731162e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999377 y[1] (closed_form) 5.002811227833276 y[1] (numeric) 5.002811227833595 absolute error 3.1885605267234496e-13 relative error 6.373537560209761e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999366 y[1] (closed_form) 5.053090316563547 y[1] (numeric) 5.0530903165638765 absolute error 3.2951419370874646e-13 relative error 6.521043026455126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999355 y[1] (closed_form) 5.103874718536397 y[1] (numeric) 5.103874718536734 absolute error 3.375077994860476e-13 relative error 6.612775941781588e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999344 y[1] (closed_form) 5.155169512234343 y[1] (numeric) 5.15516951223469 absolute error 3.4727776210274897e-13 relative error 6.736495497938196e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6499999999999333 y[1] (closed_form) 5.206979827179501 y[1] (numeric) 5.206979827179858 absolute error 3.5704772471945034e-13 relative error 6.857098290562318e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6599999999999322 y[1] (closed_form) 5.259310844446542 y[1] (numeric) 5.259310844446908 absolute error 3.659295089164516e-13 relative error 6.957746361442909e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.669999999999931 y[1] (closed_form) 5.312167797180801 y[1] (numeric) 5.312167797181178 absolute error 3.765876499528531e-13 relative error 7.089152005942101e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.67999999999993 y[1] (closed_form) 5.365555971121599 y[1] (numeric) 5.365555971121984 absolute error 3.8546943414985435e-13 relative error 7.184147108417491e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.689999999999929 y[1] (closed_form) 5.4194807051308205 y[1] (numeric) 5.419480705131215 absolute error 3.943512183468556e-13 relative error 7.276549909542234e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999278 y[1] (closed_form) 5.473947391726805 y[1] (numeric) 5.47394739172721 absolute error 4.050093593832571e-13 relative error 7.398853704647924e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999267 y[1] (closed_form) 5.528961477623599 y[1] (numeric) 5.528961477624013 absolute error 4.1389114358025836e-13 relative error 7.4858749740856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999256 y[1] (closed_form) 5.584528464275638 y[1] (numeric) 5.584528464276062 absolute error 4.2366110619695974e-13 relative error 7.586336230661729e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999245 y[1] (closed_form) 5.640653908427895 y[1] (numeric) 5.64065390842833 absolute error 4.3520742565306136e-13 relative error 7.715549167141827e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999234 y[1] (closed_form) 5.697343422671555 y[1] (numeric) 5.697343422672001 absolute error 4.4586556668946287e-13 relative error 7.825850288666486e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7499999999999223 y[1] (closed_form) 5.754602676005283 y[1] (numeric) 5.754602676005741 absolute error 4.583000645652646e-13 relative error 7.964060950310583e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7599999999999212 y[1] (closed_form) 5.812437394402131 y[1] (numeric) 5.8124373944026 absolute error 4.698463840213662e-13 relative error 8.083465715671504e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.76999999999992 y[1] (closed_form) 5.870853361382132 y[1] (numeric) 5.870853361382613 absolute error 4.813927034774679e-13 relative error 8.199705798206772e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.779999999999919 y[1] (closed_form) 5.929856418590665 y[1] (numeric) 5.929856418591158 absolute error 4.929390229335695e-13 relative error 8.312832354391562e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999179 y[1] (closed_form) 5.989452466382621 y[1] (numeric) 5.989452466383126 absolute error 5.044853423896711e-13 relative error 8.422895835992153e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999168 y[1] (closed_form) 6.049647464412443 y[1] (numeric) 6.049647464412958 absolute error 5.151434834260726e-13 relative error 8.515264508493217e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999157 y[1] (closed_form) 6.110447432230095 y[1] (numeric) 6.1104474322306235 absolute error 5.284661597215745e-13 relative error 8.64856731986815e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999146 y[1] (closed_form) 6.171858449883026 y[1] (numeric) 6.171858449883567 absolute error 5.409006575973763e-13 relative error 8.763983522785229e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999135 y[1] (closed_form) 6.233886658524178 y[1] (numeric) 6.233886658524732 absolute error 5.53335155473178e-13 relative error 8.876246646489007e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999124 y[1] (closed_form) 6.296538261026105 y[1] (numeric) 6.2965382610266705 absolute error 5.657696533489798e-13 relative error 8.985408011429762e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8499999999999113 y[1] (closed_form) 6.359819522601267 y[1] (numeric) 6.359819522601844 absolute error 5.773159728050814e-13 relative error 9.077552763147437e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8599999999999102 y[1] (closed_form) 6.423736771428557 y[1] (numeric) 6.423736771429147 absolute error 5.897504706808832e-13 relative error 9.18080070316658e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.869999999999909 y[1] (closed_form) 6.488296399286122 y[1] (numeric) 6.488296399286724 absolute error 6.021849685566849e-13 relative error 9.281095244399449e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.879999999999908 y[1] (closed_form) 6.553504862190546 y[1] (numeric) 6.553504862191161 absolute error 6.155076448521868e-13 relative error 9.392037662217433e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999069 y[1] (closed_form) 6.619368681042461 y[1] (numeric) 6.619368681043091 absolute error 6.297184995673888e-13 relative error 9.51327127873797e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999058 y[1] (closed_form) 6.68589444227864 y[1] (numeric) 6.685894442279282 absolute error 6.421529974431905e-13 relative error 9.604593715726335e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999047 y[1] (closed_form) 6.7530887985306425 y[1] (numeric) 6.7530887985313 absolute error 6.572520305780927e-13 relative error 9.732613477866596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999999036 y[1] (closed_form) 6.820958469290092 y[1] (numeric) 6.820958469290764 absolute error 6.714628852932947e-13 relative error 9.844113379613919e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999999025 y[1] (closed_form) 6.889510241580621 y[1] (numeric) 6.8895102415813065 absolute error 6.856737400084967e-13 relative error 9.95243081097716e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999999014 y[1] (closed_form) 6.9587509706365855 y[1] (numeric) 6.958750970637286 absolute error 7.007727731433988e-13 relative error 1.0070381539739052e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9499999999999003 y[1] (closed_form) 7.028687580588592 y[1] (numeric) 7.028687580589306 absolute error 7.140954494389007e-13 relative error 1.0159726709308387e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9599999999998992 y[1] (closed_form) 7.099327065155917 y[1] (numeric) 7.099327065156646 absolute error 7.291944825738028e-13 relative error 1.0271318335969468e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.969999999999898 y[1] (closed_form) 7.170676488345882 y[1] (numeric) 7.1706764883466265 absolute error 7.442935157087049e-13 relative error 1.037968338019942e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.979999999999897 y[1] (closed_form) 7.242742985160266 y[1] (numeric) 7.242742985161026 absolute error 7.602807272633072e-13 relative error 1.0497138015542656e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998959 y[1] (closed_form) 7.315533762308805 y[1] (numeric) 7.315533762309579 absolute error 7.744915819785092e-13 relative error 1.0586945630254016e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998948 y[1] (closed_form) 7.389056098929872 y[1] (numeric) 7.389056098930662 absolute error 7.895906151134113e-13 relative error 1.0685946953735601e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998936 y[1] (closed_form) 7.463317347318401 y[1] (numeric) 7.463317347319208 absolute error 8.073541835074138e-13 relative error 1.0817631703648504e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998925 y[1] (closed_form) 7.538324933661112 y[1] (numeric) 7.538324933661936 absolute error 8.233413950620161e-13 relative error 1.0922073568167971e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998914 y[1] (closed_form) 7.614086358779148 y[1] (numeric) 7.614086358779988 absolute error 8.402167850363185e-13 relative error 1.1035030934046824e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998903 y[1] (closed_form) 7.690609198878155 y[1] (numeric) 7.690609198879012 absolute error 8.570921750106208e-13 relative error 1.1144659062062945e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998892 y[1] (closed_form) 7.767901106305912 y[1] (numeric) 7.7679011063067875 absolute error 8.757439218243235e-13 relative error 1.1273880934367231e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999888 y[1] (closed_form) 7.8459698103175715 y[1] (numeric) 7.845969810318464 absolute error 8.926193117986259e-13 relative error 1.1376787489353039e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999887 y[1] (closed_form) 7.924823117848592 y[1] (numeric) 7.9248231178495026 absolute error 9.103828801926284e-13 relative error 1.1487737538800443e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999886 y[1] (closed_form) 8.00446891429544 y[1] (numeric) 8.004468914296368 absolute error 9.272582701669307e-13 relative error 1.1584257245485834e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999885 y[1] (closed_form) 8.08491516430413 y[1] (numeric) 8.084915164305075 absolute error 9.450218385609332e-13 relative error 1.1688704449656045e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998837 y[1] (closed_form) 8.166169912566701 y[1] (numeric) 8.166169912567666 absolute error 9.64561763794336e-13 relative error 1.1811678842366452e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998826 y[1] (closed_form) 8.248241284625694 y[1] (numeric) 8.24824128462668 absolute error 9.85878045867139e-13 relative error 1.1952584943226212e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998815 y[1] (closed_form) 8.331137487686705 y[1] (numeric) 8.33113748768771 absolute error 1.0054179711005418e-12 relative error 1.2068195640589706e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998804 y[1] (closed_form) 8.414866811439124 y[1] (numeric) 8.41486681144015 absolute error 1.0267342531733448e-12 relative error 1.220143201527097e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998793 y[1] (closed_form) 8.499437628885097 y[1] (numeric) 8.499437628886145 absolute error 1.0480505352461478e-12 relative error 1.2330822120329207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998782 y[1] (closed_form) 8.584858397176848 y[1] (numeric) 8.584858397177916 absolute error 1.0675904604795505e-12 relative error 1.2435737563599537e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999877 y[1] (closed_form) 8.67113765846239 y[1] (numeric) 8.67113765846348 absolute error 1.0889067425523535e-12 relative error 1.2557830188402798e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999876 y[1] (closed_form) 8.758284040739749 y[1] (numeric) 8.758284040740858 absolute error 1.1084466677857563e-12 relative error 1.26559799000551e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999875 y[1] (closed_form) 8.846306258719776 y[1] (numeric) 8.846306258720904 absolute error 1.127986593019159e-12 relative error 1.2750933101680786e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.189999999999874 y[1] (closed_form) 8.935213114697621 y[1] (numeric) 8.935213114698774 absolute error 1.1528555887707626e-12 relative error 1.2902384912055638e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998727 y[1] (closed_form) 9.025013499432973 y[1] (numeric) 9.025013499434143 absolute error 1.170619157164765e-12 relative error 1.2970829985332578e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998716 y[1] (closed_form) 9.115716393039136 y[1] (numeric) 9.115716393040328 absolute error 1.191935439237568e-12 relative error 1.3075609067299893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998705 y[1] (closed_form) 9.207330865881058 y[1] (numeric) 9.207330865882273 absolute error 1.2150280781497713e-12 relative error 1.3196311676516516e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998694 y[1] (closed_form) 9.29986607948237 y[1] (numeric) 9.299866079483609 absolute error 1.2381207170619746e-12 relative error 1.3313317702429628e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998683 y[1] (closed_form) 9.393331287441546 y[1] (numeric) 9.393331287442805 absolute error 1.2594369991347776e-12 relative error 1.340777792878004e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999867 y[1] (closed_form) 9.487735836357265 y[1] (numeric) 9.487735836358548 absolute error 1.2825296380469808e-12 relative error 1.3517762932777828e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999866 y[1] (closed_form) 9.583089166763095 y[1] (numeric) 9.583089166764402 absolute error 1.3073986337985843e-12 relative error 1.3642768120461805e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999865 y[1] (closed_form) 9.679400814071535 y[1] (numeric) 9.679400814072865 absolute error 1.3304912727107876e-12 relative error 1.374559539653086e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.279999999999864 y[1] (closed_form) 9.776680409527575 y[1] (numeric) 9.77668040952893 absolute error 1.3553602684623911e-12 relative error 1.3863194987345242e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999863 y[1] (closed_form) 9.87493768117183 y[1] (numeric) 9.874937681173208 absolute error 1.3784529073745944e-12 relative error 1.3959104876204317e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998617 y[1] (closed_form) 9.974182454813342 y[1] (numeric) 9.974182454814745 absolute error 1.4033219031261979e-12 relative error 1.4069543137833644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998606 y[1] (closed_form) 10.074424655012182 y[1] (numeric) 10.074424655013612 absolute error 1.4299672557172016e-12 relative error 1.4194033949182108e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998595 y[1] (closed_form) 10.175674306071905 y[1] (numeric) 10.175674306073363 absolute error 1.4583889651476056e-12 relative error 1.433211128109096e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998584 y[1] (closed_form) 10.277941533041993 y[1] (numeric) 10.277941533043476 absolute error 1.4832579608992091e-12 relative error 1.4431469143220596e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998573 y[1] (closed_form) 10.381236562730363 y[1] (numeric) 10.381236562731871 absolute error 1.5081269566508126e-12 relative error 1.4527430788593464e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999856 y[1] (closed_form) 10.485569724726066 y[1] (numeric) 10.485569724727602 absolute error 1.5365486660812167e-12 relative error 1.4653935898760702e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999855 y[1] (closed_form) 10.590951452432247 y[1] (numeric) 10.590951452433806 absolute error 1.55964130499342e-12 relative error 1.4726168012367228e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.369999999999854 y[1] (closed_form) 10.69739228410949 y[1] (numeric) 10.697392284111082 absolute error 1.5916157281026244e-12 relative error 1.487853942186359e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999853 y[1] (closed_form) 10.80490286392967 y[1] (numeric) 10.80490286393129 absolute error 1.6200374375330284e-12 relative error 1.499354004320805e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999852 y[1] (closed_form) 10.913493943040356 y[1] (numeric) 10.913493943042004 absolute error 1.6484591469634324e-12 relative error 1.5104779052126303e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998507 y[1] (closed_form) 11.023176380639956 y[1] (numeric) 11.023176380641633 absolute error 1.6768808563938364e-12 relative error 1.521231992022688e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998496 y[1] (closed_form) 11.13396114506363 y[1] (numeric) 11.133961145065333 absolute error 1.7035262089848402e-12 relative error 1.5300270827154074e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998485 y[1] (closed_form) 11.245859314880143 y[1] (numeric) 11.245859314881875 absolute error 1.7319479184152442e-12 relative error 1.5400761026092414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998474 y[1] (closed_form) 11.358882079999724 y[1] (numeric) 11.358882080001488 absolute error 1.7639223415244487e-12 relative error 1.5529013586911818e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998463 y[1] (closed_form) 11.47304074279307 y[1] (numeric) 11.473040742794861 absolute error 1.7905676941154525e-12 relative error 1.5606740481944328e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999845 y[1] (closed_form) 11.588346719221596 y[1] (numeric) 11.58834671922342 absolute error 1.8243184740640572e-12 relative error 1.5742698404407072e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.459999999999844 y[1] (closed_form) 11.70481153997903 y[1] (numeric) 11.704811539980884 absolute error 1.8545165403338615e-12 relative error 1.5844052969153437e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999843 y[1] (closed_form) 11.822446851644505 y[1] (numeric) 11.822446851646392 absolute error 1.886490963443066e-12 relative error 1.5956857215058274e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999842 y[1] (closed_form) 11.941264417847215 y[1] (numeric) 11.941264417849135 absolute error 1.9202417433916708e-12 relative error 1.6080723750842577e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999841 y[1] (closed_form) 12.061276120442797 y[1] (numeric) 12.06127612044475 absolute error 1.9539925233402755e-12 relative error 1.6200545479830536e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998397 y[1] (closed_form) 12.182493960701521 y[1] (numeric) 12.182493960703507 absolute error 1.98596694644948e-12 relative error 1.630180940664402e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998386 y[1] (closed_form) 12.304930060508426 y[1] (numeric) 12.304930060510447 absolute error 2.021494083237485e-12 relative error 1.6428326478061747e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998375 y[1] (closed_form) 12.428596663575524 y[1] (numeric) 12.42859666357758 absolute error 2.0552448631860898e-12 relative error 1.6536419346597623e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998364 y[1] (closed_form) 12.553506136666178 y[1] (numeric) 12.553506136668268 absolute error 2.0907719999740948e-12 relative error 1.6654884915915124e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998353 y[1] (closed_form) 12.679670970831788 y[1] (numeric) 12.679670970833913 absolute error 2.1245227799226996e-12 relative error 1.6755346292580734e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.549999999999834 y[1] (closed_form) 12.807103782660908 y[1] (numeric) 12.807103782663066 absolute error 2.1582735598713043e-12 relative error 1.6852159524101896e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999833 y[1] (closed_form) 12.935817315540916 y[1] (numeric) 12.935817315543114 absolute error 2.19735341033811e-12 relative error 1.6986583504841546e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999832 y[1] (closed_form) 13.065824440932364 y[1] (numeric) 13.065824440934593 absolute error 2.2293278334473143e-12 relative error 1.706228216616258e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999831 y[1] (closed_form) 13.197138159656125 y[1] (numeric) 13.197138159658394 absolute error 2.26840768391412e-12 relative error 1.718863329663912e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998298 y[1] (closed_form) 13.329771603193505 y[1] (numeric) 13.329771603195809 absolute error 2.303934820702125e-12 relative error 1.7284128260308342e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998287 y[1] (closed_form) 13.463738034999384 y[1] (numeric) 13.463738035001725 absolute error 2.34123831432953e-12 relative error 1.7389214705777934e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998276 y[1] (closed_form) 13.599050851828581 y[1] (numeric) 13.599050851830961 absolute error 2.3803181647963356e-12 relative error 1.7503561025924605e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998265 y[1] (closed_form) 13.735723585075542 y[1] (numeric) 13.73572358507796 absolute error 2.417621658423741e-12 relative error 1.760097779668915e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998254 y[1] (closed_form) 13.873769902127483 y[1] (numeric) 13.87376990212994 absolute error 2.4567015088905464e-12 relative error 1.7707526694051786e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998243 y[1] (closed_form) 14.01320360773115 y[1] (numeric) 14.013203607733647 absolute error 2.497557716196752e-12 relative error 1.782288894181797e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999823 y[1] (closed_form) 14.1540386453733 y[1] (numeric) 14.15403864537584 absolute error 2.540190280342358e-12 relative error 1.7946752471053205e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999822 y[1] (closed_form) 14.296289098675057 y[1] (numeric) 14.296289098677638 absolute error 2.581046487648564e-12 relative error 1.8053961205133774e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999821 y[1] (closed_form) 14.439969192800296 y[1] (numeric) 14.43996919280292 absolute error 2.62367905179417e-12 relative error 1.816956128342936e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.67999999999982 y[1] (closed_form) 14.585093295878162 y[1] (numeric) 14.58509329588083 absolute error 2.668087972779176e-12 relative error 1.829325269748665e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998188 y[1] (closed_form) 14.731675920439901 y[1] (numeric) 14.731675920442612 absolute error 2.7107205369247822e-12 relative error 1.840062564208131e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998177 y[1] (closed_form) 14.87973172487012 y[1] (numeric) 14.879731724872878 absolute error 2.7569058147491887e-12 relative error 1.852792688554506e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998166 y[1] (closed_form) 15.029275514872646 y[1] (numeric) 15.029275514875444 absolute error 2.7977620220553945e-12 relative error 1.8615415089614863e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998155 y[1] (closed_form) 15.180322244951094 y[1] (numeric) 15.180322244953938 absolute error 2.843947299879801e-12 relative error 1.8734432998124823e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998144 y[1] (closed_form) 15.33288701990435 y[1] (numeric) 15.332887019907238 absolute error 2.8883562208648073e-12 relative error 1.8837654103335495e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998133 y[1] (closed_form) 15.486985096337042 y[1] (numeric) 15.486985096339978 absolute error 2.936317855528614e-12 relative error 1.8959906252012263e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999812 y[1] (closed_form) 15.642631884185233 y[1] (numeric) 15.642631884188214 absolute error 2.9807267765136203e-12 relative error 1.9055148766411537e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999811 y[1] (closed_form) 15.799842948257412 y[1] (numeric) 15.799842948260443 absolute error 3.0304647680168273e-12 relative error 1.9180347411940962e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.76999999999981 y[1] (closed_form) 15.958634009790996 y[1] (numeric) 15.958634009794075 absolute error 3.078426402680634e-12 relative error 1.9290036984318e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999809 y[1] (closed_form) 16.119020948024463 y[1] (numeric) 16.11902094802759 absolute error 3.126388037344441e-12 relative error 1.9395644731931493e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998077 y[1] (closed_form) 16.2810198017853 y[1] (numeric) 16.28101980178847 absolute error 3.1725733151688473e-12 relative error 1.9486330425204436e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998066 y[1] (closed_form) 16.444646771093872 y[1] (numeric) 16.44464677109709 absolute error 3.218758592993254e-12 relative error 1.9573291161541604e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998055 y[1] (closed_form) 16.60991821878347 y[1] (numeric) 16.609918218786735 absolute error 3.2649438708176604e-12 relative error 1.965659209041421e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998044 y[1] (closed_form) 16.776850672136593 y[1] (numeric) 16.776850672139908 absolute error 3.3146818623208674e-12 relative error 1.9757473718389666e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999998033 y[1] (closed_form) 16.945460824537683 y[1] (numeric) 16.945460824541055 absolute error 3.3715252811816754e-12 relative error 1.9896332806125734e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999998022 y[1] (closed_form) 17.115765537142494 y[1] (numeric) 17.115765537145915 absolute error 3.4212632726848824e-12 relative error 1.9988958514654135e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999801 y[1] (closed_form) 17.2877818405642 y[1] (numeric) 17.28778184056767 absolute error 3.4710012641880894e-12 relative error 2.0077771088270572e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8599999999998 y[1] (closed_form) 17.461526936576497 y[1] (numeric) 17.46152693658003 absolute error 3.531397396727698e-12 relative error 2.0223875091533448e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999799 y[1] (closed_form) 17.637018199833776 y[1] (numeric) 17.637018199837357 absolute error 3.581135388230905e-12 relative error 2.0304653244983647e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999798 y[1] (closed_form) 17.8142731796086 y[1] (numeric) 17.81427317961224 absolute error 3.6415315207705135e-12 relative error 2.0441650827151637e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997967 y[1] (closed_form) 17.993309601546656 y[1] (numeric) 17.993309601550365 absolute error 3.709033080667723e-12 relative error 2.0613401107425532e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997956 y[1] (closed_form) 18.174145369439348 y[1] (numeric) 18.174145369443117 absolute error 3.7694292132073315e-12 relative error 2.0740613308539935e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997945 y[1] (closed_form) 18.356798567014152 y[1] (numeric) 18.35679856701798 absolute error 3.8262726320681395e-12 relative error 2.084389943104609e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997934 y[1] (closed_form) 18.54128745974304 y[1] (numeric) 18.541287459746925 absolute error 3.886668764607748e-12 relative error 2.096223777904586e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997923 y[1] (closed_form) 18.727630496669025 y[1] (numeric) 18.72763049667297 absolute error 3.943512183468556e-12 relative error 2.1057187048676368e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997912 y[1] (closed_form) 18.91584631225109 y[1] (numeric) 18.91584631225509 absolute error 4.000355602329364e-12 relative error 2.1148171412972848e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.94999999999979 y[1] (closed_form) 19.105953728227636 y[1] (numeric) 19.105953728231697 absolute error 4.0607517348689726e-12 relative error 2.1253855173267335e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999789 y[1] (closed_form) 19.297971755498686 y[1] (numeric) 19.297971755502807 absolute error 4.121147867408581e-12 relative error 2.1355341999784604e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999788 y[1] (closed_form) 19.491919596026985 y[1] (numeric) 19.491919596031167 absolute error 4.1815439999481896e-12 relative error 2.1452704949596184e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999787 y[1] (closed_form) 19.687816644758204 y[1] (numeric) 19.687816644762446 absolute error 4.241940132487798e-12 relative error 2.1546016041434417e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997857 y[1] (closed_form) 19.885682491560466 y[1] (numeric) 19.885682491564776 absolute error 4.309441692385008e-12 relative error 2.1671077641986618e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997846 y[1] (closed_form) 20.08553692318334 y[1] (numeric) 20.085536923187718 absolute error 4.376943252282217e-12 relative error 2.1791517294368244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997835 y[1] (closed_form) 20.28739992523654 y[1] (numeric) 20.28739992524098 absolute error 4.440892098500626e-12 relative error 2.1889902672921493e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997824 y[1] (closed_form) 20.491291684188482 y[1] (numeric) 20.49129168419299 absolute error 4.508393658397836e-12 relative error 2.2001510338543512e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997813 y[1] (closed_form) 20.697232589384978 y[1] (numeric) 20.697232589389554 absolute error 4.575895218295045e-12 relative error 2.2108729746999567e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.03999999999978 y[1] (closed_form) 20.90524323508816 y[1] (numeric) 20.90524323509281 absolute error 4.650502205549856e-12 relative error 2.2245625909505203e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999779 y[1] (closed_form) 21.115344422535948 y[1] (numeric) 21.115344422540673 absolute error 4.725109192804666e-12 relative error 2.2377608900197054e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999778 y[1] (closed_form) 21.327557162022167 y[1] (numeric) 21.327557162026963 absolute error 4.796163466380676e-12 relative error 2.2488105083695058e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999777 y[1] (closed_form) 21.541902674997612 y[1] (numeric) 21.54190267500248 absolute error 4.867217739956686e-12 relative error 2.2594186843141634e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999776 y[1] (closed_form) 21.7584023961922 y[1] (numeric) 21.758402396197145 absolute error 4.945377440890297e-12 relative error 2.272858710323216e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997747 y[1] (closed_form) 21.97707797575847 y[1] (numeric) 21.977077975763486 absolute error 5.016431714466307e-12 relative error 2.2825744714559493e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997736 y[1] (closed_form) 22.19795128143661 y[1] (numeric) 22.197951281441693 absolute error 5.083933274363517e-12 relative error 2.2902713903219696e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997725 y[1] (closed_form) 22.421044400741245 y[1] (numeric) 22.421044400746403 absolute error 5.158540261618327e-12 relative error 2.3007582382949943e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997714 y[1] (closed_form) 22.646379643170217 y[1] (numeric) 22.646379643175457 absolute error 5.240252676230739e-12 relative error 2.3139471998611993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997703 y[1] (closed_form) 22.873979542435556 y[1] (numeric) 22.87397954244087 absolute error 5.314859663485549e-12 relative error 2.323539571951387e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999769 y[1] (closed_form) 23.10386685871685 y[1] (numeric) 23.10386685872225 absolute error 5.4001247917767614e-12 relative error 2.337325100079232e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999768 y[1] (closed_form) 23.3360645809373 y[1] (numeric) 23.336064580942782 absolute error 5.481837206389173e-12 relative error 2.3490838343270445e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999767 y[1] (closed_form) 23.570595929062634 y[1] (numeric) 23.570595929068194 absolute error 5.559996907322784e-12 relative error 2.3588698919857545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999766 y[1] (closed_form) 23.807484356423096 y[1] (numeric) 23.807484356428745 absolute error 5.6488147492927965e-12 relative error 2.3727054336040276e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999765 y[1] (closed_form) 24.04675355205884 y[1] (numeric) 24.046753552064576 absolute error 5.737632591262809e-12 relative error 2.3860321015231445e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997637 y[1] (closed_form) 24.288427443088818 y[1] (numeric) 24.288427443094637 absolute error 5.8193450058752205e-12 relative error 2.3959332153185955e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997626 y[1] (closed_form) 24.532530197103526 y[1] (numeric) 24.53253019710943 absolute error 5.9046101341664325e-12 relative error 2.4068492270167757e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997615 y[1] (closed_form) 24.779086224581786 y[1] (numeric) 24.77908622458778 absolute error 5.993427976136445e-12 relative error 2.4187445500676855e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997604 y[1] (closed_form) 25.02812018133181 y[1] (numeric) 25.028120181337897 absolute error 6.085798531785258e-12 relative error 2.4315843490014028e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997593 y[1] (closed_form) 25.279656970956808 y[1] (numeric) 25.279656970962986 absolute error 6.178169087434071e-12 relative error 2.4439291619075454e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999758 y[1] (closed_form) 25.53372174734535 y[1] (numeric) 25.533721747351613 absolute error 6.263434215725283e-12 relative error 2.4530048058413068e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999757 y[1] (closed_form) 25.7903399171868 y[1] (numeric) 25.790339917193155 absolute error 6.355804771374096e-12 relative error 2.4644129514316943e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999756 y[1] (closed_form) 26.049537142511983 y[1] (numeric) 26.04953714251843 absolute error 6.448175327022909e-12 relative error 2.475351209407748e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999755 y[1] (closed_form) 26.311339343259444 y[1] (numeric) 26.31133934326598 absolute error 6.536993168992922e-12 relative error 2.48447754168303e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.279999999999754 y[1] (closed_form) 26.575772699867414 y[1] (numeric) 26.575772699874054 absolute error 6.640021865678136e-12 relative error 2.4985244796706374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997527 y[1] (closed_form) 26.842863655891925 y[1] (numeric) 26.84286365589866 absolute error 6.73594513500575e-12 relative error 2.509398856007388e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997516 y[1] (closed_form) 27.11263892065115 y[1] (numeric) 27.112638920657986 absolute error 6.835421118012164e-12 relative error 2.5211198135367638e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997505 y[1] (closed_form) 27.385125471896384 y[1] (numeric) 27.385125471903315 absolute error 6.931344387339777e-12 relative error 2.5310617599517578e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997494 y[1] (closed_form) 27.66035055850982 y[1] (numeric) 27.66035055851685 absolute error 7.030820370346191e-12 relative error 2.541840659421119e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997483 y[1] (closed_form) 27.938341703229472 y[1] (numeric) 27.938341703236603 absolute error 7.130296353352605e-12 relative error 2.552154465391335e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999747 y[1] (closed_form) 28.21912670540148 y[1] (numeric) 28.219126705408712 absolute error 7.23332505003782e-12 relative error 2.5632703398483535e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999746 y[1] (closed_form) 28.502733643760042 y[1] (numeric) 28.502733643767375 absolute error 7.332801033044234e-12 relative error 2.5726658799443144e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999745 y[1] (closed_form) 28.789190879235335 y[1] (numeric) 28.789190879242778 absolute error 7.44293515708705e-12 relative error 2.5853227999038298e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.369999999999744 y[1] (closed_form) 29.078527057789625 y[1] (numeric) 29.078527057797174 absolute error 7.549516567451064e-12 relative error 2.5962513687324756e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997428 y[1] (closed_form) 29.37077111328188 y[1] (numeric) 29.370771113289535 absolute error 7.65609797781508e-12 relative error 2.6067064934338354e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997417 y[1] (closed_form) 29.66595227036119 y[1] (numeric) 29.66595227036895 absolute error 7.762679388179095e-12 relative error 2.6166965137116707e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997406 y[1] (closed_form) 29.96410004738924 y[1] (numeric) 29.964100047397114 absolute error 7.87281351222191e-12 relative error 2.6274153069075287e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997395 y[1] (closed_form) 30.265244259392198 y[1] (numeric) 30.265244259400177 absolute error 7.979394922585925e-12 relative error 2.636487865155651e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997384 y[1] (closed_form) 30.56941502104221 y[1] (numeric) 30.56941502105031 absolute error 8.100187187665142e-12 relative error 2.6497684637044718e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997373 y[1] (closed_form) 30.876642749668928 y[1] (numeric) 30.876642749677142 absolute error 8.213874025386758e-12 relative error 2.660222515763904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999736 y[1] (closed_form) 31.186958168301235 y[1] (numeric) 31.18695816830956 absolute error 8.324008149429574e-12 relative error 2.6690670197807835e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999735 y[1] (closed_form) 31.500392308739585 y[1] (numeric) 31.500392308748026 absolute error 8.44124770082999e-12 relative error 2.6797278008782192e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.459999999999734 y[1] (closed_form) 31.816976514659228 y[1] (numeric) 31.816976514667793 absolute error 8.565592679588008e-12 relative error 2.6921453946579527e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999733 y[1] (closed_form) 32.13674244474457 y[1] (numeric) 32.13674244475325 absolute error 8.682832230988424e-12 relative error 2.701839567565865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997318 y[1] (closed_form) 32.45972207585509 y[1] (numeric) 32.4597220758639 absolute error 8.810729923425242e-12 relative error 2.7143577824959367e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997307 y[1] (closed_form) 32.785947706223055 y[1] (numeric) 32.785947706231994 absolute error 8.93862761586206e-12 relative error 2.726359382975967e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997295 y[1] (closed_form) 33.11545195868336 y[1] (numeric) 33.115451958692425 absolute error 9.066525308298878e-12 relative error 2.737853410429297e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997284 y[1] (closed_form) 33.448267783935826 y[1] (numeric) 33.44826778394503 absolute error 9.201528428093297e-12 relative error 2.7509730810372512e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997273 y[1] (closed_form) 33.78442846384034 y[1] (numeric) 33.78442846384968 absolute error 9.336531547887716e-12 relative error 2.7635606024475616e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997262 y[1] (closed_form) 34.12396761474503 y[1] (numeric) 34.123967614754484 absolute error 9.457323812966933e-12 relative error 2.771460786664329e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999725 y[1] (closed_form) 34.46691919084791 y[1] (numeric) 34.46691919085751 absolute error 9.599432360118954e-12 relative error 2.7851147086763458e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.549999999999724 y[1] (closed_form) 34.813317487592414 y[1] (numeric) 34.81331748760215 absolute error 9.734435479913373e-12 relative error 2.7961815139803205e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999723 y[1] (closed_form) 35.163197145096866 y[1] (numeric) 35.163197145106736 absolute error 9.869438599707792e-12 relative error 2.8067523436457425e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999722 y[1] (closed_form) 35.51659315161859 y[1] (numeric) 35.5165931516286 absolute error 1.000444171950221e-11 relative error 2.8168359720747258e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997207 y[1] (closed_form) 35.873540847052745 y[1] (numeric) 35.87354084706289 absolute error 1.014655026665423e-11 relative error 2.8284217356502846e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997196 y[1] (closed_form) 36.23407592646631 y[1] (numeric) 36.2340759264766 absolute error 1.028865881380625e-11 relative error 2.8394980555558055e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997185 y[1] (closed_form) 36.598234443667685 y[1] (numeric) 36.59823444367812 absolute error 1.0437872788315872e-11 relative error 2.8520153900817087e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997174 y[1] (closed_form) 36.96605281481206 y[1] (numeric) 36.96605281482264 absolute error 1.0579981335467892e-11 relative error 2.862080349360038e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997163 y[1] (closed_form) 37.33756782204306 y[1] (numeric) 37.33756782205379 absolute error 1.0729195309977513e-11 relative error 2.8735656701354e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997152 y[1] (closed_form) 37.71281661717101 y[1] (numeric) 37.712816617181886 absolute error 1.0878409284487134e-11 relative error 2.8845390666296957e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.639999999999714 y[1] (closed_form) 38.09183672538813 y[1] (numeric) 38.09183672539915 absolute error 1.1020517831639154e-11 relative error 2.8931442479627145e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999713 y[1] (closed_form) 38.47466604902108 y[1] (numeric) 38.47466604903226 absolute error 1.1176837233506376e-11 relative error 2.904986158753352e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999712 y[1] (closed_form) 38.86134287132127 y[1] (numeric) 38.861342871332596 absolute error 1.1326051208015997e-11 relative error 2.9144775684976005e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999711 y[1] (closed_form) 39.25190586029315 y[1] (numeric) 39.25190586030464 absolute error 1.148947603724082e-11 relative error 2.9271129096596205e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997097 y[1] (closed_form) 39.64639407256109 y[1] (numeric) 39.64639407257274 absolute error 1.1652900866465643e-11 relative error 2.9392082531234564e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997086 y[1] (closed_form) 40.044846957275055 y[1] (numeric) 40.04484695728687 absolute error 1.1816325695690466e-11 relative error 2.950773094050685e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997075 y[1] (closed_form) 40.44730436005556 y[1] (numeric) 40.44730436006754 absolute error 1.1979750524915289e-11 relative error 2.96181679210892e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997064 y[1] (closed_form) 40.853806526978275 y[1] (numeric) 40.85380652699042 absolute error 1.2143175354140112e-11 relative error 2.97234857322811e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997053 y[1] (closed_form) 41.26439410859864 y[1] (numeric) 41.26439410861095 absolute error 1.2313705610722536e-11 relative error 2.9840994583164415e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.729999999999704 y[1] (closed_form) 41.67910816401697 y[1] (numeric) 41.67910816402946 absolute error 1.2491341294662561e-11 relative error 2.9970270106323374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999703 y[1] (closed_form) 42.0979901649844 y[1] (numeric) 42.097990164997064 absolute error 1.2661871551244985e-11 relative error 3.007714026636995e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999702 y[1] (closed_form) 42.521082000050114 y[1] (numeric) 42.52108200006295 absolute error 1.283240180782741e-11 relative error 3.017891644387668e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999701 y[1] (closed_form) 42.94842597875018 y[1] (numeric) 42.94842597876319 absolute error 1.3010037491767434e-11 relative error 3.0292233522607977e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7699999999997 y[1] (closed_form) 43.380064835838596 y[1] (numeric) 43.380064835851776 absolute error 1.3180567748349858e-11 relative error 3.038392818966164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996987 y[1] (closed_form) 43.816041735560766 y[1] (numeric) 43.81604173557414 absolute error 1.3372414287005085e-11 relative error 3.0519448488091375e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996976 y[1] (closed_form) 44.25640027596999 y[1] (numeric) 44.256400275983545 absolute error 1.3557155398302712e-11 relative error 3.063320856139282e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996965 y[1] (closed_form) 44.70118449328726 y[1] (numeric) 44.70118449330099 absolute error 1.3734791082242737e-11 relative error 3.072578777930433e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996954 y[1] (closed_form) 45.15043886630497 y[1] (numeric) 45.15043886631889 absolute error 1.3926637620897964e-11 relative error 3.084496622975505e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996943 y[1] (closed_form) 45.60420832083479 y[1] (numeric) 45.60420832084891 absolute error 1.411848415955319e-11 relative error 3.095873095795636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999693 y[1] (closed_form) 46.06253823420034 y[1] (numeric) 46.06253823421465 absolute error 1.4310330698208418e-11 relative error 3.1067177899422265e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999692 y[1] (closed_form) 46.52547443977488 y[1] (numeric) 46.525474439789384 absolute error 1.4502177236863645e-11 relative error 3.117040161650808e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999691 y[1] (closed_form) 46.99306323156476 y[1] (numeric) 46.993063231579455 absolute error 1.4694023775518872e-11 relative error 3.12684953162386e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.85999999999969 y[1] (closed_form) 47.46535136883881 y[1] (numeric) 47.4653513688537 absolute error 1.48929757415317e-11 relative error 3.1376520581935474e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999689 y[1] (closed_form) 47.94238608080433 y[1] (numeric) 47.94238608081942 absolute error 1.5084822280186927e-11 relative error 3.146447958339467e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996877 y[1] (closed_form) 48.42421507133005 y[1] (numeric) 48.424215071345344 absolute error 1.5290879673557356e-11 relative error 3.1576928301333367e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996866 y[1] (closed_form) 48.910886523716556 y[1] (numeric) 48.910886523732046 absolute error 1.5489831639570184e-11 relative error 3.1669496794050684e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996855 y[1] (closed_form) 49.402449105514634 y[1] (numeric) 49.402449105530344 absolute error 1.5710099887655815e-11 relative error 3.1800245073077053e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996844 y[1] (closed_form) 49.898951973392116 y[1] (numeric) 49.89895197340804 absolute error 1.5923262708383845e-11 relative error 3.1911016321294063e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996833 y[1] (closed_form) 50.400444778049525 y[1] (numeric) 50.400444778065655 absolute error 1.6129320101754274e-11 relative error 3.200233683012841e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999682 y[1] (closed_form) 50.90697766918525 y[1] (numeric) 50.9069776692016 absolute error 1.6349588349839905e-11 relative error 3.211659599217683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999681 y[1] (closed_form) 51.41860130051052 y[1] (numeric) 51.41860130052709 absolute error 1.6569856597925536e-11 relative error 3.222541294167996e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.94999999999968 y[1] (closed_form) 51.935366834814815 y[1] (numeric) 51.935366834831605 absolute error 1.6790124846011167e-11 relative error 3.232888466815628e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999679 y[1] (closed_form) 52.457325949082204 y[1] (numeric) 52.45732594909923 absolute error 1.7024603948812e-11 relative error 3.2454197084573015e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999678 y[1] (closed_form) 52.98453083965909 y[1] (numeric) 52.98453083967634 absolute error 1.7251977624255233e-11 relative error 3.256040461406157e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996767 y[1] (closed_form) 53.51703422747386 y[1] (numeric) 53.517034227491344 absolute error 1.7486456727056066e-11 relative error 3.2674562369674634e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996756 y[1] (closed_form) 54.05488936330905 y[1] (numeric) 54.05488936332679 absolute error 1.77351466845721e-11 relative error 3.280951435377504e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996745 y[1] (closed_form) 54.598150033126466 y[1] (numeric) 54.59815003314444 absolute error 1.7976731214730535e-11 relative error 3.292553173289474e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999677 y[1] (closed_form) 55.14687056344602 y[1] (numeric) 55.14687056346401 absolute error 1.7990942069445737e-11 relative error 3.262368632277566e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999681 y[1] (closed_form) 55.701105826777834 y[1] (numeric) 55.70110582679581 absolute error 1.7976731214730535e-11 relative error 3.227356252250269e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.029999999999684 y[1] (closed_form) 56.260911247110066 y[1] (numeric) 56.26091124712802 absolute error 1.7955414932657732e-11 relative error 3.1914546946802326e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999687 y[1] (closed_form) 56.82634280545126 y[1] (numeric) 56.826342805469196 absolute error 1.793409865058493e-11 relative error 3.155948063028356e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999691 y[1] (closed_form) 57.397457045428446 y[1] (numeric) 57.397457045446366 absolute error 1.7919887795869727e-11 relative error 3.1220699867742654e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.059999999999694 y[1] (closed_form) 57.974311078941554 y[1] (numeric) 57.97431107895945 absolute error 1.7898571513796924e-11 relative error 3.087328021789699e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999697 y[1] (closed_form) 58.55696259187465 y[1] (numeric) 58.55696259189252 absolute error 1.787014980436652e-11 relative error 3.0517549089621286e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999701 y[1] (closed_form) 59.14546984986457 y[1] (numeric) 59.14546984988242 absolute error 1.7848833522293717e-11 relative error 3.0177853971912586e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.089999999999704 y[1] (closed_form) 59.73989170412753 y[1] (numeric) 59.739891704145364 absolute error 1.7834622667578515e-11 relative error 2.985379142618414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999707 y[1] (closed_form) 60.340287597344314 y[1] (numeric) 60.34028759736213 absolute error 1.7813306385505712e-11 relative error 2.952141445591934e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999711 y[1] (closed_form) 60.94671756960458 y[1] (numeric) 60.946717569622365 absolute error 1.7784884676075308e-11 relative error 2.918103777412454e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999714 y[1] (closed_form) 61.55924226441092 y[1] (numeric) 61.55924226442866 absolute error 1.7742252111929702e-11 relative error 2.8821427066504006e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1299999999997175 y[1] (closed_form) 62.177922934743236 y[1] (numeric) 62.177922934760936 absolute error 1.7699619547784096e-11 relative error 2.8466083639300948e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999721 y[1] (closed_form) 62.80282144918414 y[1] (numeric) 62.802821449201815 absolute error 1.7678303265711293e-11 relative error 2.814889977517236e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999724 y[1] (closed_form) 63.43400029810582 y[1] (numeric) 63.43400029812347 absolute error 1.764988155628089e-11 relative error 2.7824008376164045e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1599999999997275 y[1] (closed_form) 64.07152259991916 y[1] (numeric) 64.07152259993678 absolute error 1.7621459846850485e-11 relative error 2.7502795519444574e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999731 y[1] (closed_form) 64.71545210738562 y[1] (numeric) 64.7154521074032 absolute error 1.757882728270488e-11 relative error 2.7163261184570637e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999734 y[1] (closed_form) 65.36585321399254 y[1] (numeric) 65.36585321401009 absolute error 1.7550405573274475e-11 relative error 2.6849501246191258e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.1899999999997375 y[1] (closed_form) 66.02279096039258 y[1] (numeric) 66.02279096041008 absolute error 1.7493562154413667e-11 relative error 2.649624758351725e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999741 y[1] (closed_form) 66.68633104090786 y[1] (numeric) 66.6863310409253 absolute error 1.743671873555286e-11 relative error 2.6147365529611356e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999744 y[1] (closed_form) 67.35653981009935 y[1] (numeric) 67.35653981011676 absolute error 1.7408297026122455e-11 relative error 2.5844998978870167e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2199999999997475 y[1] (closed_form) 68.0334842894025 y[1] (numeric) 68.03348428941983 absolute error 1.7337242752546445e-11 relative error 2.5483396791492934e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999751 y[1] (closed_form) 68.71723217382934 y[1] (numeric) 68.71723217384663 absolute error 1.7280399333685637e-11 relative error 2.514711199364459e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999754 y[1] (closed_form) 69.40785183873813 y[1] (numeric) 69.40785183875535 absolute error 1.722355591482483e-11 relative error 2.4814996370788073e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2499999999997575 y[1] (closed_form) 70.10541234667086 y[1] (numeric) 70.10541234668803 absolute error 1.716671249596402e-11 relative error 2.4487000249103058e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999761 y[1] (closed_form) 70.80998345425964 y[1] (numeric) 70.80998345427673 absolute error 1.709565822238801e-11 relative error 2.4143005531742723e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999764 y[1] (closed_form) 71.52163561920236 y[1] (numeric) 71.52163561921938 absolute error 1.7024603948812e-11 relative error 2.380343206838125e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.2799999999997675 y[1] (closed_form) 72.24044000730856 y[1] (numeric) 72.2404400073255 absolute error 1.693933882052079e-11 relative error 2.344855432609081e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999771 y[1] (closed_form) 72.96646849961608 y[1] (numeric) 72.96646849963294 absolute error 1.6854073692229576e-11 relative error 2.3098382090834305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999774 y[1] (closed_form) 73.69979369957916 y[1] (numeric) 73.69979369959594 absolute error 1.6783019418653566e-11 relative error 2.277213893849665e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999778 y[1] (closed_form) 74.44048894032889 y[1] (numeric) 74.44048894034562 absolute error 1.6726175999792758e-11 relative error 2.2469191481534162e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999781 y[1] (closed_form) 75.18862829200661 y[1] (numeric) 75.18862829202322 absolute error 1.6612489162071142e-11 relative error 2.209441712057039e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999784 y[1] (closed_form) 75.94428656917094 y[1] (numeric) 75.94428656918747 absolute error 1.652722403377993e-11 relative error 2.1762300734403163e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999788 y[1] (closed_form) 76.7075393382793 y[1] (numeric) 76.70753933829575 absolute error 1.6441958905488718e-11 relative error 2.143460609912134e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999791 y[1] (closed_form) 77.47846292524466 y[1] (numeric) 77.47846292526101 absolute error 1.6356693777197506e-11 relative error 2.1111278101863373e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999794 y[1] (closed_form) 78.25713442306815 y[1] (numeric) 78.25713442308442 absolute error 1.6271428648906294e-11 relative error 2.079226228875294e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999798 y[1] (closed_form) 79.04363169954846 y[1] (numeric) 79.04363169956461 absolute error 1.6157741811184678e-11 relative error 2.044154786890565e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999801 y[1] (closed_form) 79.83803340506863 y[1] (numeric) 79.83803340508466 absolute error 1.602984411874786e-11 relative error 2.0077954622727697e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999804 y[1] (closed_form) 80.64041898046122 y[1] (numeric) 80.64041898047714 absolute error 1.5916157281026244e-11 relative error 1.973719566720338e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999808 y[1] (closed_form) 81.45086866495245 y[1] (numeric) 81.45086866496824 absolute error 1.5788259588589426e-11 relative error 1.9383782944702916e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999811 y[1] (closed_form) 82.26946350418612 y[1] (numeric) 82.2694635042018 absolute error 1.567457275086781e-11 relative error 1.905272270320596e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999814 y[1] (closed_form) 83.09628535832833 y[1] (numeric) 83.09628535834386 absolute error 1.553246420371579e-11 relative error 1.8692128218170763e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999818 y[1] (closed_form) 83.93141691025353 y[1] (numeric) 83.93141691026892 absolute error 1.539035565656377e-11 relative error 1.833682335307221e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999821 y[1] (closed_form) 84.77494167381282 y[1] (numeric) 84.7749416738281 absolute error 1.5276668818842154e-11 relative error 1.8020264617370008e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999824 y[1] (closed_form) 85.62694400218552 y[1] (numeric) 85.62694400220067 absolute error 1.5148771126405336e-11 relative error 1.7691593811894865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999828 y[1] (closed_form) 86.48750909631448 y[1] (numeric) 86.48750909632949 absolute error 1.5006662579253316e-11 relative error 1.7351248447381633e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.469999999999831 y[1] (closed_form) 87.35672301342625 y[1] (numeric) 87.3567230134411 absolute error 1.4850343177386094e-11 relative error 1.6999656883996984e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999834 y[1] (closed_form) 88.23467267563686 y[1] (numeric) 88.23467267565158 absolute error 1.4722445484949276e-11 relative error 1.668555573280253e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999838 y[1] (closed_form) 89.12144587864418 y[1] (numeric) 89.12144587865876 absolute error 1.4580336937797256e-11 relative error 1.6360076740284443e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.499999999999841 y[1] (closed_form) 90.0171313005075 y[1] (numeric) 90.01713130052191 absolute error 1.4409806681214832e-11 relative error 1.6007849253838188e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999844 y[1] (closed_form) 90.9218185105154 y[1] (numeric) 90.92181851052963 absolute error 1.4239276424632408e-11 relative error 1.566101146886497e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999848 y[1] (closed_form) 91.83559797814279 y[1] (numeric) 91.83559797815687 absolute error 1.4082957022765186e-11 relative error 1.5334965234414853e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.529999999999851 y[1] (closed_form) 92.75856108209793 y[1] (numeric) 92.75856108211183 absolute error 1.389821591146756e-11 relative error 1.4983216373059786e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999854 y[1] (closed_form) 93.69080011946033 y[1] (numeric) 93.69080011947406 absolute error 1.3727685654885136e-11 relative error 1.46521170033575e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999858 y[1] (closed_form) 94.6324083149106 y[1] (numeric) 94.63240831492418 absolute error 1.3571366253017914e-11 relative error 1.4341140096378126e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.559999999999861 y[1] (closed_form) 95.583479830053 y[1] (numeric) 95.5834798300664 absolute error 1.340083599643549e-11 relative error 1.4020033608592318e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999864 y[1] (closed_form) 96.54410977283156 y[1] (numeric) 96.54410977284478 absolute error 1.3216094885137863e-11 relative error 1.36891778444437e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999868 y[1] (closed_form) 97.51439420704111 y[1] (numeric) 97.51439420705414 absolute error 1.3031353773840237e-11 relative error 1.336351815525025e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.589999999999871 y[1] (closed_form) 98.49443016193362 y[1] (numeric) 98.49443016194645 absolute error 1.283240180782741e-11 relative error 1.3028555814506259e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999874 y[1] (closed_form) 99.48431564192131 y[1] (numeric) 99.48431564193393 absolute error 1.261923898709938e-11 relative error 1.2684651752061515e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999878 y[1] (closed_form) 100.48414963637707 y[1] (numeric) 100.48414963638947 absolute error 1.240607616637135e-11 relative error 1.2346301592107147e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.619999999999881 y[1] (closed_form) 101.49403212953355 y[1] (numeric) 101.4940321295457 absolute error 1.2150280781497713e-11 relative error 1.1971423862627413e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999884 y[1] (closed_form) 102.51406411048163 y[1] (numeric) 102.51406411049356 absolute error 1.1937117960769683e-11 relative error 1.1644371008357246e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999888 y[1] (closed_form) 103.54434758326943 y[1] (numeric) 103.54434758328114 absolute error 1.1709744285326451e-11 relative error 1.1308916960348395e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999891 y[1] (closed_form) 104.5849855771028 y[1] (numeric) 104.58498557711427 absolute error 1.1468159755168017e-11 relative error 1.0965397845480782e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6599999999998944 y[1] (closed_form) 105.63608215664834 y[1] (numeric) 105.63608215665955 absolute error 1.1212364370294381e-11 relative error 1.0614142574567942e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999898 y[1] (closed_form) 106.69774243243992 y[1] (numeric) 106.6977424324509 absolute error 1.0970779840135947e-11 relative error 1.0282110558320903e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999901 y[1] (closed_form) 107.77007257138983 y[1] (numeric) 107.77007257140055 absolute error 1.071498445526231e-11 relative error 9.942448956007163e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6899999999999045 y[1] (closed_form) 108.85317980740558 y[1] (numeric) 108.85317980741604 absolute error 1.0459189070388675e-11 relative error 9.608528743849436e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999908 y[1] (closed_form) 109.94717245211336 y[1] (numeric) 109.94717245212358 absolute error 1.021760454023024e-11 relative error 9.29319446089479e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999911 y[1] (closed_form) 111.05215990568931 y[1] (numeric) 111.05215990569924 absolute error 9.9333874459262e-12 relative error 8.944794459074094e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.7199999999999145 y[1] (closed_form) 112.1682526677996 y[1] (numeric) 112.16825266780928 absolute error 9.677592061052565e-12 relative error 8.62774611432521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999918 y[1] (closed_form) 113.29556234865056 y[1] (numeric) 113.29556234865994 absolute error 9.379164112033322e-12 relative error 8.278492041171315e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999921 y[1] (closed_form) 114.43420168014966 y[1] (numeric) 114.43420168015876 absolute error 9.109157872444484e-12 relative error 7.960170769491728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.7499999999999245 y[1] (closed_form) 115.58428452717894 y[1] (numeric) 115.58428452718778 absolute error 8.839151632855646e-12 relative error 7.647364578163889e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999928 y[1] (closed_form) 116.7459258989815 y[1] (numeric) 116.74592589899002 absolute error 8.526512829121202e-12 relative error 7.30347784170136e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999931 y[1] (closed_form) 117.91924196066255 y[1] (numeric) 117.91924196067077 absolute error 8.22808488010196e-12 relative error 6.97772877716329e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.7799999999999345 y[1] (closed_form) 119.10435004480605 y[1] (numeric) 119.10435004481394 absolute error 7.887024366937112e-12 relative error 6.621944844138841e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999938 y[1] (closed_form) 120.301368663208 y[1] (numeric) 120.30136866321557 absolute error 7.574385563202668e-12 relative error 6.296175718837983e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999941 y[1] (closed_form) 121.51041751872773 y[1] (numeric) 121.510417518735 absolute error 7.261746759468224e-12 relative error 5.976233896446789e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.8099999999999445 y[1] (closed_form) 122.73161751725839 y[1] (numeric) 122.73161751726529 absolute error 6.906475391588174e-12 relative error 5.6272992496143e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999948 y[1] (closed_form) 123.96509077981744 y[1] (numeric) 123.96509077982401 absolute error 6.565414878423326e-12 relative error 5.296180430412132e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999951 y[1] (closed_form) 125.21096065475909 y[1] (numeric) 125.2109606547653 absolute error 6.210143510543276e-12 relative error 4.959744321159185e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999955 y[1] (closed_form) 126.46935173010904 y[1] (numeric) 126.46935173011487 absolute error 5.8264504332328215e-12 relative error 4.607005850450403e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999958 y[1] (closed_form) 127.74038984602348 y[1] (numeric) 127.74038984602895 absolute error 5.4711790653527714e-12 relative error 4.283045536300348e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999961 y[1] (closed_form) 129.0242021073732 y[1] (numeric) 129.0242021073783 absolute error 5.087485988042317e-12 relative error 3.943047819670716e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999965 y[1] (closed_form) 130.3209168964542 y[1] (numeric) 130.32091689645893 absolute error 4.718003765447065e-12 relative error 3.6202966321943007e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999968 y[1] (closed_form) 131.630663885826 y[1] (numeric) 131.6306638858303 absolute error 4.291678123991005e-12 relative error 3.2603938909808485e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999971 y[1] (closed_form) 132.95357405127896 y[1] (numeric) 132.9535740512829 absolute error 3.950617610826157e-12 relative error 2.9714264088172917e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999975 y[1] (closed_form) 134.28977968493209 y[1] (numeric) 134.2897796849356 absolute error 3.524291969370097e-12 relative error 2.6243932916106633e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999978 y[1] (closed_form) 135.63941440846222 y[1] (numeric) 135.63941440846537 absolute error 3.154809746774845e-12 relative error 2.3258798045784133e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999981 y[1] (closed_form) 137.00261318646642 y[1] (numeric) 137.00261318646915 absolute error 2.7284841053187847e-12 relative error 1.991556249810506e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999985 y[1] (closed_form) 138.37951233995852 y[1] (numeric) 138.3795123399608 absolute error 2.2737367544323206e-12 relative error 1.643116611689168e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999988 y[1] (closed_form) 139.77024956000128 y[1] (numeric) 139.77024956000307 absolute error 1.7905676941154525e-12 relative error 1.2810792709837643e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999991 y[1] (closed_form) 141.1749639214756 y[1] (numeric) 141.17496392147694 absolute error 1.3358203432289883e-12 relative error 9.462161746837767e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999995 y[1] (closed_form) 142.59379589698833 y[1] (numeric) 142.5937958969892 absolute error 8.810729923425242e-13 relative error 6.178901310538245e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999998 y[1] (closed_form) 144.0268873709193 y[1] (numeric) 144.02688737091967 absolute error 3.694822225952521e-13 relative error 2.565369767685855e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.980000000000001 y[1] (closed_form) 145.47438165361018 y[1] (numeric) 145.4743816536101 absolute error 8.526512829121202e-14 relative error 5.861178258467341e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000005 y[1] (closed_form) 146.93642349569546 y[1] (numeric) 146.93642349569492 absolute error 5.400124791776761e-13 relative error 3.67514375490088e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 Finished! diff ( y , x , 1 ) = y ; Iterations 10000 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.01000000000008%