##############ECHO OF PROBLEM################# ##############temp/diff0postode.ode################# diff ( y , x , 1 ) = y ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; 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; 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 */ double exact_soln_y (double x) { return(exp(c(x))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = 0.006737946999085467 y[1] (numeric) = 0.006737946999085467 absolute error = 0 relative error = 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 = 2.255140518769849e-17 relative error = 3.313622823082663e-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) = 0.006943148034746115 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 = 1.298644227673532e-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 = 1.153591111524577e-16 relative error = 1.628581835496158e-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 = 1.405126015541214e-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 = 1.656660919557851e-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) = 0.007299130846788585 absolute error = 1.916869440954372e-16 relative error = 2.626161225480279e-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) = 0.007372488331368015 absolute error = 2.185751579730777e-16 relative error = 2.964740643170514e-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 = 3.296322212655324e-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) = 0.007521422474993543 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) = 0.007597014027577871 y[1] (numeric) = 0.00759701402757757 absolute error = 3.018418848199644e-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 = 3.304648221735818e-16 relative error = 4.306647862768452e-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 = 3.590877595271991e-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] = -4.809999999999937 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 = 6.970232920967675e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.779999999999927 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) = 0.008565609397498061 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] = -4.749999999999917 y[1] (closed_form) = 0.008651695203121356 y[1] (numeric) = 0.008651695203120636 absolute error = 7.199102425303749e-16 relative error = 8.321031030666059e-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] = -4.719999999999906 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) = 0.009004777582436559 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 = 9.089951014118469e-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] = -4.689999999999896 y[1] (closed_form) = 0.009186686156245618 y[1] (numeric) = 0.009186686156244669 absolute error = 9.488937413593135e-16 relative error = 1.032901010463063e-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 = 1.028691021254247e-15 relative error = 1.097590096283483e-11 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.659999999999886 y[1] (closed_form) = 0.009466462401711399 y[1] (numeric) = 0.009466462401710328 absolute error = 1.07032438467769e-15 relative error = 1.130648746340756e-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 = 1.11369247157711e-15 relative error = 1.164755110772191e-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 = 1.155325835000554e-15 relative error = 1.196274598312273e-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 = 1.198693921899974e-15 relative error = 1.228829855584976e-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) = 0.01005183574463493 y[1] (numeric) = 0.01005183574463359 absolute error = 1.332267629550188e-15 relative error = 1.325397333776841e-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) = 0.01015285837337115 y[1] (numeric) = 0.01015285837336977 absolute error = 1.380839886877538e-15 relative error = 1.36005037802871e-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) = 0.01025489629640403 absolute error = 1.425942697252935e-15 relative error = 1.390499382965731e-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) = 0.01035795971761519 y[1] (numeric) = 0.01035795971761371 absolute error = 1.479719125008216e-15 relative error = 1.428581656377504e-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) = 0.01046205894342834 y[1] (numeric) = 0.01046205894342681 absolute error = 1.531760829287521e-15 relative error = 1.464110303306678e-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) = 0.01056720438385424 y[1] (numeric) = 0.01056720438385266 absolute error = 1.583802533566825e-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) = 0.01067340655352456 y[1] (numeric) = 0.01067340655352293 absolute error = 1.634109514370152e-15 relative error = 1.531010278841611e-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) = 0.01078067607274478 y[1] (numeric) = 0.01078067607274309 absolute error = 1.68962066560141e-15 relative error = 1.567267817157621e-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) = 0.01088902366855619 y[1] (numeric) = 0.01088902366855445 absolute error = 1.743397093356691e-15 relative error = 1.601059145817665e-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) = 0.01099846017580868 y[1] (numeric) = 0.01099846017580688 absolute error = 1.795438797635995e-15 relative error = 1.632445605053966e-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) = 0.01110899653824416 y[1] (numeric) = 0.01110899653824231 absolute error = 1.856154119295184e-15 relative error = 1.670856690705711e-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) = 0.011220643809591 y[1] (numeric) = 0.01122064380958909 absolute error = 1.911665270526441e-15 relative error = 1.703703729453046e-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) = 0.01133341315466936 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) = 0.01144731585050773 y[1] (numeric) = 0.01144731585050571 absolute error = 2.027891743416887e-15 relative error = 1.771499773308816e-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) = 0.01156236328747062 y[1] (numeric) = 0.01156236328746853 absolute error = 2.086872341600099e-15 relative error = 1.804883906269842e-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) = 0.01167856697039544 absolute error = 2.14585293978331e-15 relative error = 1.837428295117493e-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) = 0.01179593851975377 y[1] (numeric) = 0.01179593851975157 absolute error = 2.204833537966522e-15 relative error = 1.869146345815768e-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) = 0.01191448967279191 y[1] (numeric) = 0.01191448967278964 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) = 0.0120342322847261 y[1] (numeric) = 0.01203423228472377 absolute error = 2.331468351712829e-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) = 0.01215517832991733 y[1] (numeric) = 0.01215517832991493 absolute error = 2.399122567275924e-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) = 0.0122773399030709 y[1] (numeric) = 0.01227733990306844 absolute error = 2.463307335887066e-15 relative error = 2.006385222967497e-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) = 0.01240072922044593 y[1] (numeric) = 0.0124007292204434 absolute error = 2.527492104498208e-15 relative error = 2.038180222765416e-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) = 0.01252535862107698 y[1] (numeric) = 0.01252535862107438 absolute error = 2.595146320061303e-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) = 0.01265124056800797 y[1] (numeric) = 0.0126512405680053 absolute error = 2.664535259100376e-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) = 0.0127783876495385 y[1] (numeric) = 0.01277838764953576 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) = 0.01290681258047987 absolute error = 2.80331313717852e-15 relative error = 2.171963929667355e-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) = 0.01303652820344061 y[1] (numeric) = 0.01303652820343773 absolute error = 2.874436799693569e-15 relative error = 2.204909738878904e-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) = 0.0131675474900827 y[1] (numeric) = 0.01316754749007975 absolute error = 2.949029909160572e-15 relative error = 2.239619725223448e-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) = 0.01329988354244679 y[1] (numeric) = 0.01329988354244377 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) = 0.0134335495942484 y[1] (numeric) = 0.01343354959424531 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) = 0.0135685590122041 y[1] (numeric) = 0.01356855901220093 absolute error = 3.169339790609627e-15 relative error = 2.33579688731795e-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) = 0.0137049252973682 y[1] (numeric) = 0.01370492529736495 absolute error = 3.24913707050456e-15 relative error = 2.370780577059039e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.27999999999976 y[1] (closed_form) = 0.01384266208648283 y[1] (numeric) = 0.0138426620864795 absolute error = 3.328934350399493e-15 relative error = 2.404836822283014e-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) = 0.0139817831533383 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) = 0.01412230241016745 y[1] (numeric) = 0.01412230241016396 absolute error = 3.490263633665336e-15 relative error = 2.471455101508446e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.24999999999975 y[1] (closed_form) = 0.01426423390900283 y[1] (numeric) = 0.01426423390899925 absolute error = 3.573530360512223e-15 relative error = 2.505238194570548e-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) = 0.01440759184311235 absolute error = 3.656797087359109e-15 relative error = 2.538104304437482e-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) = 0.01455239054841987 y[1] (numeric) = 0.01455239054841613 absolute error = 3.74353326115795e-15 relative error = 2.572452442574413e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.21999999999974 y[1] (closed_form) = 0.01469864450490561 y[1] (numeric) = 0.01469864450490178 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) = 0.01484636833809075 y[1] (numeric) = 0.01484636833808683 absolute error = 3.920475055707584e-15 relative error = 2.640696341642672e-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) = 0.01499557682048171 y[1] (numeric) = 0.0149955768204777 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] = -4.189999999999729 y[1] (closed_form) = 0.01514628487305108 y[1] (numeric) = 0.01514628487304698 absolute error = 4.104355744161126e-15 relative error = 2.709810213238344e-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) = 0.0152985075667297 y[1] (numeric) = 0.01529850756672551 absolute error = 4.198030811863873e-15 relative error = 2.744078658361097e-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) = 0.0154522601239138 y[1] (numeric) = 0.01545226012390951 absolute error = 4.289971156090644e-15 relative error = 2.776274228940476e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.159999999999719 y[1] (closed_form) = 0.01560755791998721 y[1] (numeric) = 0.01560755791998283 absolute error = 4.383646223793392e-15 relative error = 2.808668880978264e-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) = 0.01576441648485897 y[1] (numeric) = 0.01576441648485449 absolute error = 4.479056014972116e-15 relative error = 2.841244405889716e-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) = 0.01592285150451626 y[1] (numeric) = 0.01592285150451169 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] = -4.129999999999709 y[1] (closed_form) = 0.0160828788225931 y[1] (numeric) = 0.01608287882258842 absolute error = 4.680283938185426e-15 relative error = 2.910103340212076e-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) = 0.01624451444195465 y[1] (numeric) = 0.01624451444194986 absolute error = 4.787836793695988e-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) = 0.01640777452629753 y[1] (numeric) = 0.01640777452629264 absolute error = 4.888450755302642e-15 relative error = 2.97935027536348e-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) = 0.01657267540176123 absolute error = 4.996003610813204e-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) = 0.01673923355858061 absolute error = 5.103556466323766e-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) = 0.01690746565271047 y[1] (numeric) = 0.01690746565270526 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) = 0.0170773885074901 y[1] (numeric) = 0.01707738850748479 absolute error = 5.318662177344891e-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) = 0.01724901911535169 y[1] (numeric) = 0.01724901911534626 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) = 0.01742237463949904 y[1] (numeric) = 0.0174223746394935 absolute error = 5.540706782269922e-15 relative error = 3.180224795366494e-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) = 0.01759747241562903 y[1] (numeric) = 0.01759747241562338 absolute error = 5.655198531684391e-15 relative error = 3.213642503943793e-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) = 0.0177743299536652 y[1] (numeric) = 0.01777432995365943 absolute error = 5.76969028109886e-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) = 0.01795296493950873 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) = 0.01813339523680707 y[1] (numeric) = 0.01813339523680106 absolute error = 6.005612673831706e-15 relative error = 3.311907447779855e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.999999999999666 y[1] (closed_form) = 0.01831563888874029 y[1] (numeric) = 0.01831563888873418 absolute error = 6.113165529342268e-15 relative error = 3.337675287483635e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.989999999999668 y[1] (closed_form) = 0.01849971411982539 y[1] (numeric) = 0.01849971411981924 absolute error = 6.154798892765712e-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] = -3.979999999999669 y[1] (closed_form) = 0.01868563933773896 y[1] (numeric) = 0.01868563933773276 absolute error = 6.199901703141109e-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) = 0.01887343313515148 absolute error = 6.238065619612598e-15 relative error = 3.305209802021781e-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) = 0.01906311429161163 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) = 0.01925470177538691 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) = 0.01944821474539175 y[1] (numeric) = 0.01944821474538538 absolute error = 6.362965709882928e-15 relative error = 3.271747969252876e-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) = 0.01964367255307169 y[1] (numeric) = 0.01964367255306529 absolute error = 6.408068520258325e-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] = -3.919999999999675 y[1] (closed_form) = 0.01984109474437673 y[1] (numeric) = 0.01984109474437028 absolute error = 6.453171330633722e-15 relative error = 3.252427052928946e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.909999999999676 y[1] (closed_form) = 0.0200405010616905 y[1] (numeric) = 0.02004050106168401 absolute error = 6.494804694057166e-15 relative error = 3.240839475053175e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.899999999999678 y[1] (closed_form) = 0.02024191144581092 y[1] (numeric) = 0.02024191144580438 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] = -3.889999999999679 y[1] (closed_form) = 0.02044534603794423 y[1] (numeric) = 0.02044534603793765 absolute error = 6.581540867856006e-15 relative error = 3.219089985389056e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.87999999999968 y[1] (closed_form) = 0.02065082518171918 y[1] (numeric) = 0.02065082518171255 absolute error = 6.626643678231403e-15 relative error = 3.208900186757445e-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) = 0.02085836942522138 y[1] (numeric) = 0.02085836942521471 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) = 0.02106799952304813 y[1] (numeric) = 0.02106799952304142 absolute error = 6.716849298982197e-15 relative error = 3.188176120677261e-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) = 0.02127973643838392 y[1] (numeric) = 0.02127973643837716 absolute error = 6.75848266240564e-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 = 3.16378624347212e-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) = 0.02170961562985541 y[1] (numeric) = 0.02170961562984856 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] = -3.819999999999686 y[1] (closed_form) = 0.0219278008942685 y[1] (numeric) = 0.02192780089426161 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] = -3.809999999999687 y[1] (closed_form) = 0.02214817895704424 y[1] (numeric) = 0.0221481789570373 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] = -3.799999999999689 y[1] (closed_form) = 0.02237077185617256 y[1] (numeric) = 0.02237077185616558 absolute error = 6.980527267330672e-15 relative error = 3.120378372373682e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.78999999999969 y[1] (closed_form) = 0.02259560185112888 y[1] (numeric) = 0.02259560185112185 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] = -3.779999999999691 y[1] (closed_form) = 0.02282269142510003 y[1] (numeric) = 0.02282269142509296 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) = 0.02305206328723267 y[1] (numeric) = 0.02305206328722556 absolute error = 7.115835698456863e-15 relative error = 3.086854139602311e-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) = 0.02328374037490415 y[1] (numeric) = 0.02328374037489699 absolute error = 7.167877402736167e-15 relative error = 3.078490520561679e-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) = 0.0235177458560163 y[1] (numeric) = 0.02351774585600909 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) = 0.02375410313131224 y[1] (numeric) = 0.02375410313130498 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] = -3.729999999999696 y[1] (closed_form) = 0.02399283583671646 y[1] (numeric) = 0.02399283583670915 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] = -3.719999999999697 y[1] (closed_form) = 0.02423396784569845 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] = -3.709999999999698 y[1] (closed_form) = 0.02447752327166005 y[1] (numeric) = 0.02447752327165265 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] = -3.6999999999997 y[1] (closed_form) = 0.02472352647034682 y[1] (numeric) = 0.02472352647033937 absolute error = 7.452372052796363e-15 relative error = 3.014283606238241e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.689999999999701 y[1] (closed_form) = 0.02497200204228363 y[1] (numeric) = 0.02497200204227613 absolute error = 7.500944310123714e-15 relative error = 3.003741669339448e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.679999999999702 y[1] (closed_form) = 0.02522297483523474 y[1] (numeric) = 0.02522297483522718 absolute error = 7.552986014403018e-15 relative error = 2.994486599515622e-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) = 0.02547646994668859 y[1] (numeric) = 0.02547646994668099 absolute error = 7.598088824778415e-15 relative error = 2.982394672683453e-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) = 0.02573251272636756 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) = 0.02599112877875531 absolute error = 7.69870278638507e-15 relative error = 2.962050187168313e-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) = 0.02625234396569568 y[1] (numeric) = 0.02625234396568794 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] = -3.629999999999707 y[1] (closed_form) = 0.02651618440890194 y[1] (numeric) = 0.02651618440889415 absolute error = 7.788908407135864e-15 relative error = 2.93741674406254e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.619999999999708 y[1] (closed_form) = 0.02678267649264599 y[1] (numeric) = 0.02678267649263815 absolute error = 7.837480664463214e-15 relative error = 2.926324658633441e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.609999999999709 y[1] (closed_form) = 0.02705184686635827 y[1] (numeric) = 0.02705184686635038 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] = -3.599999999999711 y[1] (closed_form) = 0.02732372244730047 y[1] (numeric) = 0.02732372244729253 absolute error = 7.934625179117916e-15 relative error = 2.903932725279839e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.589999999999712 y[1] (closed_form) = 0.02759833042325724 y[1] (numeric) = 0.02759833042324926 absolute error = 7.979727989493313e-15 relative error = 2.891380698438467e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.579999999999713 y[1] (closed_form) = 0.02787569825525503 y[1] (numeric) = 0.02787569825524699 absolute error = 8.031769693772617e-15 relative error = 2.881280181836699e-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) = 0.02815585368030008 absolute error = 8.080341951099967e-15 relative error = 2.869862176031713e-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) = 0.02843882471419261 y[1] (numeric) = 0.02843882471418449 absolute error = 8.125444761475364e-15 relative error = 2.857166160393506e-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) = 0.02872463965424759 y[1] (numeric) = 0.02872463965423941 absolute error = 8.180955912706622e-15 relative error = 2.848062155410497e-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) = 0.02901332708220526 y[1] (numeric) = 0.02901332708219703 absolute error = 8.229528170033973e-15 relative error = 2.836464824153652e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.529999999999718 y[1] (closed_form) = 0.02930491586704901 y[1] (numeric) = 0.02930491586704073 absolute error = 8.281569874313277e-15 relative error = 2.82600022190312e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.519999999999719 y[1] (closed_form) = 0.02959943516790031 y[1] (numeric) = 0.02959943516789197 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] = -3.50999999999972 y[1] (closed_form) = 0.02989691443693467 y[1] (numeric) = 0.02989691443692629 absolute error = 8.382183835919932e-15 relative error = 2.803695295580261e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.499999999999722 y[1] (closed_form) = 0.03019738342232691 y[1] (numeric) = 0.03019738342231848 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] = -3.489999999999723 y[1] (closed_form) = 0.03050087217122595 y[1] (numeric) = 0.03050087217121747 absolute error = 8.482797797526587e-15 relative error = 2.781165649921686e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.479999999999724 y[1] (closed_form) = 0.03080741103275959 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) = 0.03111703066106084 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) = 0.03174563637807661 y[1] (numeric) = 0.03174563637806792 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) = 0.03206468532786948 y[1] (numeric) = 0.03206468532786075 absolute error = 8.736067425019201e-15 relative error = 2.724513693395307e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.429999999999729 y[1] (closed_form) = 0.03238694077291581 y[1] (numeric) = 0.03238694077290703 absolute error = 8.784639682346551e-15 relative error = 2.712401811563774e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.41999999999973 y[1] (closed_form) = 0.03271243493902863 y[1] (numeric) = 0.03271243493901979 absolute error = 8.840150833577809e-15 relative error = 2.702382396802502e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.409999999999731 y[1] (closed_form) = 0.03304120037589581 y[1] (numeric) = 0.03304120037588691 absolute error = 8.902600878712974e-15 relative error = 2.694393901381256e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.399999999999733 y[1] (closed_form) = 0.033373269960335 y[1] (numeric) = 0.03337326996032605 absolute error = 8.951173136040325e-15 relative error = 2.682138473898131e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.389999999999734 y[1] (closed_form) = 0.03370867689958138 y[1] (numeric) = 0.03370867689957237 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] = -3.379999999999735 y[1] (closed_form) = 0.03404745473460837 y[1] (numeric) = 0.03404745473459933 absolute error = 9.041378756791119e-15 relative error = 2.655522660141989e-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 = 2.645241593321599e-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) = 0.03473525894474769 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) = 0.03543695772160788 y[1] (numeric) = 0.03543695772159863 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] = -3.32999999999974 y[1] (closed_form) = 0.03579310506766459 y[1] (numeric) = 0.0357931050676553 absolute error = 9.298117831235686e-15 relative error = 2.597739931659515e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.319999999999741 y[1] (closed_form) = 0.03615283175405577 y[1] (numeric) = 0.03615283175404642 absolute error = 9.346690088563037e-15 relative error = 2.585327244114007e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.309999999999742 y[1] (closed_form) = 0.0365161737537498 y[1] (numeric) = 0.03651617375374041 absolute error = 9.395262345890387e-15 relative error = 2.572904381835898e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.299999999999744 y[1] (closed_form) = 0.03688316740124947 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] = -3.289999999999745 y[1] (closed_form) = 0.03725384939622532 y[1] (numeric) = 0.03725384939621582 absolute error = 9.499345754448996e-15 relative error = 2.549896429068481e-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) = 0.03762825680718578 y[1] (numeric) = 0.03762825680717623 absolute error = 9.547918011776346e-15 relative error = 2.537432988379362e-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 = 2.530442267511902e-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 = 2.52153189396503e-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) = 0.03916389509899686 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] = -3.229999999999751 y[1] (closed_form) = 0.03955749878840856 y[1] (numeric) = 0.0395574987883987 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] = -3.219999999999752 y[1] (closed_form) = 0.0399550582606638 y[1] (numeric) = 0.03995505826065389 absolute error = 9.908740494779522e-15 relative error = 2.479971479489692e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.209999999999753 y[1] (closed_form) = 0.0403566132720411 y[1] (numeric) = 0.04035661327203113 absolute error = 9.96425164601078e-15 relative error = 2.469050506999301e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.199999999999755 y[1] (closed_form) = 0.04076220397837622 y[1] (numeric) = 0.0407622039783662 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] = -3.189999999999756 y[1] (closed_form) = 0.04117187093907779 y[1] (numeric) = 0.04117187093906773 absolute error = 1.006833505456939e-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) = 0.04158565512118328 y[1] (numeric) = 0.04158565512117317 absolute error = 1.011690731189674e-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 = 1.01793573570319e-14 relative error = 2.423448910359755e-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 = 1.024180740216707e-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) = 0.04285212686705046 y[1] (numeric) = 0.04285212686704016 absolute error = 1.030425744730223e-14 relative error = 2.404608172488471e-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) = 0.04328279790197623 y[1] (numeric) = 0.04328279790196588 absolute error = 1.035282970462958e-14 relative error = 2.391903991067289e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.129999999999762 y[1] (closed_form) = 0.04371779725276133 y[1] (numeric) = 0.04371779725275092 absolute error = 1.040834085586084e-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] = -3.119999999999763 y[1] (closed_form) = 0.04415716841970332 y[1] (numeric) = 0.04415716841969285 absolute error = 1.04638520070921e-14 relative error = 2.369683650825545e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.109999999999765 y[1] (closed_form) = 0.04460095534028503 y[1] (numeric) = 0.04460095534027451 absolute error = 1.052630205222727e-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] = -3.099999999999766 y[1] (closed_form) = 0.04504920239356836 y[1] (numeric) = 0.04504920239355779 absolute error = 1.057487430955462e-14 relative error = 2.347405447308071e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.089999999999767 y[1] (closed_form) = 0.04550195440463218 y[1] (numeric) = 0.04550195440462155 absolute error = 1.063038546078587e-14 relative error = 2.336248101840584e-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 = 1.069977439982495e-14 relative error = 2.328099969398652e-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 = 2.313903606283587e-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) = 0.04688769521999928 y[1] (numeric) = 0.04688769521998847 absolute error = 1.080385780838355e-14 relative error = 2.304198949786579e-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 = 1.085243006571091e-14 relative error = 2.291527986589684e-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 = 1.090100232303826e-14 relative error = 2.27888105069374e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.029999999999773 y[1] (closed_form) = 0.04831563812607873 y[1] (numeric) = 0.04831563812606776 absolute error = 1.097039126207733e-14 relative error = 2.270567395477692e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.019999999999774 y[1] (closed_form) = 0.04880121836202397 y[1] (numeric) = 0.04880121836201294 absolute error = 1.102590241330859e-14 relative error = 2.259349824325021e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.009999999999776 y[1] (closed_form) = 0.04929167876047322 y[1] (numeric) = 0.04929167876046214 absolute error = 1.108835245844375e-14 relative error = 2.249538408364263e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.999999999999777 y[1] (closed_form) = 0.04978706836787507 y[1] (numeric) = 0.04978706836786392 absolute error = 1.115080250357892e-14 relative error = 2.239698554087578e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.989999999999778 y[1] (closed_form) = 0.05028743672360305 y[1] (numeric) = 0.05028743672359184 absolute error = 1.121325254871408e-14 relative error = 2.229831798814076e-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 = 1.127570259384925e-14 relative error = 2.219939652085266e-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 = 1.133815263898441e-14 relative error = 2.210023596065635e-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) = 0.05181891717272578 absolute error = 1.139366379021567e-14 relative error = 2.198746020152284e-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) = 0.0523397059484438 y[1] (numeric) = 0.05233970594843235 absolute error = 1.144917494144693e-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] = -2.939999999999783 y[1] (closed_form) = 0.05286572873836182 y[1] (numeric) = 0.05286572873835032 absolute error = 1.150468609267818e-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] = -2.929999999999784 y[1] (closed_form) = 0.0533970381452086 y[1] (numeric) = 0.05339703814519705 absolute error = 1.155325835000554e-14 relative error = 2.16365153411458e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.919999999999785 y[1] (closed_form) = 0.05393368730036759 y[1] (numeric) = 0.05393368730035598 absolute error = 1.160876950123679e-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] = -2.909999999999787 y[1] (closed_form) = 0.0544757298692015 y[1] (numeric) = 0.05447572986918982 absolute error = 1.167121954637196e-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] = -2.899999999999788 y[1] (closed_form) = 0.05502322005641892 y[1] (numeric) = 0.05502322005640719 absolute error = 1.172673069760322e-14 relative error = 2.13123308406506e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.889999999999789 y[1] (closed_form) = 0.05557621261149481 y[1] (numeric) = 0.05557621261148303 absolute error = 1.178224184883447e-14 relative error = 2.120015253863765e-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 = 1.184469189396964e-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 = 1.19002030452009e-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 = 2.085226981213822e-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) = 0.05784432087485043 y[1] (numeric) = 0.05784432087483844 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] = -2.839999999999794 y[1] (closed_form) = 0.05842566596451284 y[1] (numeric) = 0.05842566596450079 absolute error = 1.205285871108686e-14 relative error = 2.062939037512664e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.829999999999795 y[1] (closed_form) = 0.05901285366945992 y[1] (numeric) = 0.05901285366944781 absolute error = 1.210836986231811e-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] = -2.819999999999796 y[1] (closed_form) = 0.05960594270895149 y[1] (numeric) = 0.05960594270893933 absolute error = 1.216388101354937e-14 relative error = 2.040716153579537e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.809999999999798 y[1] (closed_form) = 0.06020499239238573 y[1] (numeric) = 0.06020499239237351 absolute error = 1.221939216478063e-14 relative error = 2.029631045402481e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.799999999999799 y[1] (closed_form) = 0.06081006262523021 y[1] (numeric) = 0.06081006262521792 absolute error = 1.228184220991579e-14 relative error = 2.019705568403745e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.7899999999998 y[1] (closed_form) = 0.06142121391501243 y[1] (numeric) = 0.06142121391500008 absolute error = 1.234429225505096e-14 relative error = 2.009776666435079e-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 = 1.239980340628222e-14 relative error = 1.998726908572466e-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 = 1.244837566360957e-14 relative error = 1.986590712319326e-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 = 1.250388681484083e-14 relative error = 1.975594479172701e-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 = 1.255939796607208e-14 relative error = 1.964620390702488e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.739999999999805 y[1] (closed_form) = 0.06457034689318106 y[1] (numeric) = 0.06457034689316844 absolute error = 1.261490911730334e-14 relative error = 1.953669094913216e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.729999999999806 y[1] (closed_form) = 0.06521928966814015 y[1] (numeric) = 0.0652192896681275 absolute error = 1.265654248072678e-14 relative error = 1.940613359196022e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.719999999999807 y[1] (closed_form) = 0.06587475442641565 y[1] (numeric) = 0.06587475442640295 absolute error = 1.269817584415023e-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] = -2.709999999999809 y[1] (closed_form) = 0.06653680671502959 y[1] (numeric) = 0.06653680671501683 absolute error = 1.27675647831893e-14 relative error = 1.918872487805357e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.69999999999981 y[1] (closed_form) = 0.06720551273976255 y[1] (numeric) = 0.06720551273974971 absolute error = 1.283695372222837e-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] = -2.689999999999811 y[1] (closed_form) = 0.06788093937177428 y[1] (numeric) = 0.06788093937176141 absolute error = 1.2864709297844e-14 relative error = 1.895187281865063e-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 = 1.293409823688307e-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 = 1.297573160030652e-14 relative error = 1.873691645624699e-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 = 1.303124275153777e-14 relative error = 1.862984136909963e-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 = 1.30589983271534e-14 relative error = 1.848375669923931e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.639999999999816 y[1] (closed_form) = 0.07136126955639917 y[1] (numeric) = 0.07136126955638605 absolute error = 1.311450947838466e-14 relative error = 1.837762915361229e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.629999999999817 y[1] (closed_form) = 0.07207846223877926 y[1] (numeric) = 0.0720784622387661 absolute error = 1.315614284180811e-14 relative error = 1.825252985867658e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.619999999999818 y[1] (closed_form) = 0.07280286282744881 y[1] (numeric) = 0.07280286282743559 absolute error = 1.322553178084718e-14 relative error = 1.816622488073472e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.60999999999982 y[1] (closed_form) = 0.07353454376307035 y[1] (numeric) = 0.07353454376305708 absolute error = 1.326716514427062e-14 relative error = 1.804208534565424e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.599999999999821 y[1] (closed_form) = 0.0742735782143472 y[1] (numeric) = 0.07427357821433388 absolute error = 1.332267629550188e-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 = 1.336430965892532e-14 relative error = 1.78143195387826e-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 = 1.771032293094634e-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 = 1.347533196138784e-14 relative error = 1.760663216907768e-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 = 1.351696532481128e-14 relative error = 1.748529941022585e-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 = 1.357247647604254e-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] = -2.539999999999827 y[1] (closed_form) = 0.07886639979068857 y[1] (numeric) = 0.07886639979067496 absolute error = 1.361410983946598e-14 relative error = 1.726224333251908e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.529999999999828 y[1] (closed_form) = 0.07965902028591169 y[1] (numeric) = 0.07965902028589804 absolute error = 1.365574320288943e-14 relative error = 1.714274560982085e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.519999999999829 y[1] (closed_form) = 0.08045960674954615 y[1] (numeric) = 0.08045960674953244 absolute error = 1.371125435412068e-14 relative error = 1.704116501190583e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.509999999999831 y[1] (closed_form) = 0.08126823924090545 y[1] (numeric) = 0.08126823924089169 absolute error = 1.376676550535194e-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] = -2.499999999999832 y[1] (closed_form) = 0.08208499862391261 y[1] (numeric) = 0.0820849986238988 absolute error = 1.380839886877538e-14 relative error = 1.682207358258125e-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 = 1.385003223219883e-14 relative error = 1.670490630295814e-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 = 1.390554338343009e-14 relative error = 1.660497704153831e-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) = 0.08458485900156471 absolute error = 1.396105453466134e-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 = 1.40165656858926e-14 relative error = 1.640612597911085e-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] = -2.439999999999838 y[1] (closed_form) = 0.08716085146199538 y[1] (numeric) = 0.08716085146198128 absolute error = 1.409983241273949e-14 relative error = 1.617679517379132e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.429999999999839 y[1] (closed_form) = 0.0880368325823867 y[1] (numeric) = 0.08803683258237256 absolute error = 1.414146577616293e-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] = -2.419999999999841 y[1] (closed_form) = 0.08892161745940051 y[1] (numeric) = 0.0889216174593863 absolute error = 1.4210854715202e-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] = -2.409999999999842 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] = -2.399999999999843 y[1] (closed_form) = 0.09071795328942678 y[1] (numeric) = 0.09071795328941247 absolute error = 1.43079992298567e-14 relative error = 1.577195991647698e-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 = 1.433575480547233e-14 relative error = 1.564531732384327e-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 = 1.437738816889578e-14 relative error = 1.553462826019293e-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 = 1.443289932012704e-14 relative error = 1.543943858244548e-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) = 0.09442022319630231 absolute error = 1.447453268355048e-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 = 1.451616604697392e-14 relative error = 1.52210271221245e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.339999999999849 y[1] (closed_form) = 0.09632763823050754 y[1] (numeric) = 0.09632763823049298 absolute error = 1.455779941039737e-14 relative error = 1.511279595121104e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.32999999999985 y[1] (closed_form) = 0.09729574708954733 y[1] (numeric) = 0.09729574708953276 absolute error = 1.457167719820518e-14 relative error = 1.497668462815128e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.319999999999852 y[1] (closed_form) = 0.09827358560437613 y[1] (numeric) = 0.09827358560436154 absolute error = 1.458555498601299e-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] = -2.309999999999853 y[1] (closed_form) = 0.09926125155966029 y[1] (numeric) = 0.09926125155964566 absolute error = 1.462718834943644e-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] = -2.299999999999854 y[1] (closed_form) = 0.1002588437228184 y[1] (numeric) = 0.1002588437228037 absolute error = 1.466882171285988e-14 relative error = 1.463095041611908e-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) = 0.1012664618538981 y[1] (numeric) = 0.1012664618538834 absolute error = 1.471045507628332e-14 relative error = 1.452648271399744e-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) = 0.1022842067155374 absolute error = 1.476596622751458e-14 relative error = 1.443621327442864e-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) = 0.103312180083115 y[1] (numeric) = 0.1033121800831002 absolute error = 1.480759959093803e-14 relative error = 1.433286915349697e-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) = 0.1043504847547798 y[1] (numeric) = 0.104350484754765 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] = -2.249999999999859 y[1] (closed_form) = 0.1053992245618792 y[1] (numeric) = 0.1053992245618643 absolute error = 1.486311074216928e-14 relative error = 1.41017268428225e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.23999999999986 y[1] (closed_form) = 0.1064585043792677 y[1] (numeric) = 0.1064585043792528 absolute error = 1.490474410559273e-14 relative error = 1.40005199138373e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.229999999999861 y[1] (closed_form) = 0.1075284301358099 y[1] (numeric) = 0.1075284301357949 absolute error = 1.494637746901617e-14 relative error = 1.389993088352419e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.219999999999863 y[1] (closed_form) = 0.1086091088249729 y[1] (numeric) = 0.108609108824958 absolute error = 1.496025525682398e-14 relative error = 1.377440199876137e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.209999999999864 y[1] (closed_form) = 0.1097006485155264 y[1] (numeric) = 0.1097006485155114 absolute error = 1.498801083243961e-14 relative error = 1.366264560443168e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.199999999999865 y[1] (closed_form) = 0.1108031583623489 y[1] (numeric) = 0.1108031583623339 absolute error = 1.501576640805524e-14 relative error = 1.355174945370296e-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) = 0.1119167486173439 y[1] (numeric) = 0.1119167486173288 absolute error = 1.504352198367087e-14 relative error = 1.344170749197369e-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) = 0.1130415306404498 absolute error = 1.508515534709431e-14 relative error = 1.334479041607595e-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) = 0.1141776169108516 y[1] (numeric) = 0.1141776169108364 absolute error = 1.511291092270994e-14 relative error = 1.323631665434909e-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) = 0.1153251210380776 y[1] (numeric) = 0.1153251210380625 absolute error = 1.515454428613339e-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] = -2.14999999999987 y[1] (closed_form) = 0.1164841577735121 y[1] (numeric) = 0.1164841577734969 absolute error = 1.51684220739412e-14 relative error = 1.302187556133957e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.139999999999871 y[1] (closed_form) = 0.1176548430217943 y[1] (numeric) = 0.1176548430217792 absolute error = 1.518229986174902e-14 relative error = 1.290410107379656e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.129999999999872 y[1] (closed_form) = 0.1188372938524248 y[1] (numeric) = 0.1188372938524096 absolute error = 1.519617764955683e-14 relative error = 1.278738109639877e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.119999999999874 y[1] (closed_form) = 0.1200316285114719 y[1] (numeric) = 0.1200316285114567 absolute error = 1.521005543736464e-14 relative error = 1.267170630440206e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.109999999999875 y[1] (closed_form) = 0.1212379664333969 y[1] (numeric) = 0.1212379664333816 absolute error = 1.523781101298027e-14 relative error = 1.256851418845869e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.099999999999876 y[1] (closed_form) = 0.1224564282529971 y[1] (numeric) = 0.1224564282529819 absolute error = 1.52655665885959e-14 relative error = 1.246612105740743e-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) = 0.1236871358174701 y[1] (numeric) = 0.1236871358174548 absolute error = 1.52655665885959e-14 relative error = 1.234208108038325e-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) = 0.1249302121985977 y[1] (numeric) = 0.1249302121985824 absolute error = 1.527944437640372e-14 relative error = 1.223038375386288e-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) = 0.1261857817050387 absolute error = 1.52655665885959e-14 relative error = 1.209769150083609e-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 = 1.521005543736464e-14 relative error = 1.193376357748187e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.049999999999881 y[1] (closed_form) = 0.1287349035878195 y[1] (numeric) = 0.1287349035878043 absolute error = 1.523781101298027e-14 relative error = 1.183658090254089e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.039999999999882 y[1] (closed_form) = 0.1300287108784412 y[1] (numeric) = 0.130028710878426 absolute error = 1.523781101298027e-14 relative error = 1.17188049547192e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.029999999999883 y[1] (closed_form) = 0.1313355211485084 y[1] (numeric) = 0.1313355211484931 absolute error = 1.523781101298027e-14 relative error = 1.160220089715868e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.019999999999885 y[1] (closed_form) = 0.132655465080137 y[1] (numeric) = 0.1326554650801218 absolute error = 1.523781101298027e-14 relative error = 1.148675706935642e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.009999999999886 y[1] (closed_form) = 0.1339886746688203 y[1] (numeric) = 0.1339886746688051 absolute error = 1.521005543736464e-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] = -1.999999999999887 y[1] (closed_form) = 0.135335283236628 y[1] (numeric) = 0.1353352832366128 absolute error = 1.52655665885959e-14 relative error = 1.127981279050837e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.989999999999888 y[1] (closed_form) = 0.1366954254455392 y[1] (numeric) = 0.136695425445524 absolute error = 1.523781101298027e-14 relative error = 1.114727209291372e-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) = 0.1380692373109081 y[1] (numeric) = 0.1380692373108929 absolute error = 1.521005543736464e-14 relative error = 1.101625223228707e-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) = 0.1394568562150663 y[1] (numeric) = 0.1394568562150511 absolute error = 1.518229986174902e-14 relative error = 1.088673606576597e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.959999999999891 y[1] (closed_form) = 0.1408584209210603 y[1] (numeric) = 0.1408584209210452 absolute error = 1.515454428613339e-14 relative error = 1.075870664106498e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.949999999999892 y[1] (closed_form) = 0.1422740715865289 y[1] (numeric) = 0.1422740715865138 absolute error = 1.512678871051776e-14 relative error = 1.06321471943803e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.939999999999893 y[1] (closed_form) = 0.1437039497777182 y[1] (numeric) = 0.1437039497777031 absolute error = 1.515454428613339e-14 relative error = 1.05456699760685e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.929999999999894 y[1] (closed_form) = 0.1451481984836391 y[1] (numeric) = 0.1451481984836239 absolute error = 1.518229986174902e-14 relative error = 1.045986103882671e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.919999999999896 y[1] (closed_form) = 0.1466069621303654 y[1] (numeric) = 0.1466069621303503 absolute error = 1.518229986174902e-14 relative error = 1.035578368252979e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.909999999999897 y[1] (closed_form) = 0.1480803865954778 y[1] (numeric) = 0.1480803865954626 absolute error = 1.518229986174902e-14 relative error = 1.025274191323098e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.899999999999898 y[1] (closed_form) = 0.1495686192226504 y[1] (numeric) = 0.1495686192226352 absolute error = 1.515454428613339e-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] = -1.889999999999899 y[1] (closed_form) = 0.1510718088363861 y[1] (numeric) = 0.151071808836371 absolute error = 1.512678871051776e-14 relative error = 1.001297914351471e-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) = 0.1525901057568991 y[1] (numeric) = 0.152590105756884 absolute error = 1.512678871051776e-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) = 0.1541236618151467 y[1] (numeric) = 0.1541236618151316 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] = -1.859999999999902 y[1] (closed_form) = 0.1556726303680125 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] = -1.849999999999903 y[1] (closed_form) = 0.1572371663136428 y[1] (numeric) = 0.1572371663136278 absolute error = 1.498801083243961e-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] = -1.839999999999904 y[1] (closed_form) = 0.1588174261069359 y[1] (numeric) = 0.158817426106921 absolute error = 1.493249968120836e-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] = -1.829999999999905 y[1] (closed_form) = 0.1604135677751879 y[1] (numeric) = 0.160413567775173 absolute error = 1.48769885299771e-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] = -1.819999999999907 y[1] (closed_form) = 0.1620257509338959 y[1] (numeric) = 0.1620257509338811 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] = -1.809999999999908 y[1] (closed_form) = 0.1636541368027192 y[1] (numeric) = 0.1636541368027044 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] = -1.799999999999909 y[1] (closed_form) = 0.1652988882216016 y[1] (numeric) = 0.1652988882215868 absolute error = 1.476596622751458e-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] = -1.78999999999991 y[1] (closed_form) = 0.1669601696670557 y[1] (numeric) = 0.166960169667041 absolute error = 1.476596622751458e-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 = 1.471045507628332e-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) = 0.1703329888254244 y[1] (numeric) = 0.1703329888254097 absolute error = 1.46826995006677e-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] = -1.759999999999913 y[1] (closed_form) = 0.1720448638230655 y[1] (numeric) = 0.1720448638230508 absolute error = 1.46826995006677e-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] = -1.749999999999914 y[1] (closed_form) = 0.17377394345046 y[1] (numeric) = 0.1737739434504454 absolute error = 1.462718834943644e-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] = -1.739999999999915 y[1] (closed_form) = 0.1755204006170117 y[1] (numeric) = 0.1755204006169972 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] = -1.729999999999916 y[1] (closed_form) = 0.1772844099698926 y[1] (numeric) = 0.1772844099698781 absolute error = 1.448841047135829e-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] = -1.719999999999918 y[1] (closed_form) = 0.179066147911508 y[1] (numeric) = 0.1790661479114936 absolute error = 1.440514374451141e-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] = -1.709999999999919 y[1] (closed_form) = 0.1808657926171368 y[1] (numeric) = 0.1808657926171224 absolute error = 1.437738816889578e-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] = -1.69999999999992 y[1] (closed_form) = 0.1826835240527493 y[1] (numeric) = 0.1826835240527349 absolute error = 1.434963259328015e-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) = 0.1845195239930039 y[1] (numeric) = 0.1845195239929895 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) = 0.1863739760394245 y[1] (numeric) = 0.1863739760394102 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) = 0.1882470656387613 y[1] (numeric) = 0.1882470656387471 absolute error = 1.415534356397075e-14 relative error = 7.519556023855529e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.659999999999924 y[1] (closed_form) = 0.1901389801015349 y[1] (numeric) = 0.1901389801015209 absolute error = 1.407207683712386e-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] = -1.649999999999925 y[1] (closed_form) = 0.1920499086207685 y[1] (numeric) = 0.1920499086207544 absolute error = 1.40165656858926e-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] = -1.639999999999926 y[1] (closed_form) = 0.1939800422909062 y[1] (numeric) = 0.1939800422908922 absolute error = 1.396105453466134e-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] = -1.629999999999928 y[1] (closed_form) = 0.1959295741269236 y[1] (numeric) = 0.1959295741269097 absolute error = 1.387778780781446e-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] = -1.619999999999929 y[1] (closed_form) = 0.1978986990836288 y[1] (numeric) = 0.197898699083615 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] = -1.60999999999993 y[1] (closed_form) = 0.1998876140751586 y[1] (numeric) = 0.1998876140751448 absolute error = 1.373900992973631e-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] = -1.599999999999931 y[1] (closed_form) = 0.2018965179946694 y[1] (numeric) = 0.2018965179946557 absolute error = 1.365574320288943e-14 relative error = 6.763733886311985e-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) = 0.2039256117342273 y[1] (numeric) = 0.2039256117342138 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) = 0.2059750982048973 y[1] (numeric) = 0.2059750982048839 absolute error = 1.340594302234877e-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] = -1.569999999999934 y[1] (closed_form) = 0.2080451823570342 y[1] (numeric) = 0.2080451823570208 absolute error = 1.335043187111751e-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] = -1.559999999999935 y[1] (closed_form) = 0.2101360712007783 y[1] (numeric) = 0.2101360712007651 absolute error = 1.323940956865499e-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] = -1.549999999999936 y[1] (closed_form) = 0.2122479738267566 y[1] (numeric) = 0.2122479738267434 absolute error = 1.315614284180811e-14 relative error = 6.198477471707955e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.539999999999937 y[1] (closed_form) = 0.2143811014269914 y[1] (numeric) = 0.2143811014269783 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] = -1.529999999999939 y[1] (closed_form) = 0.2165356673160204 y[1] (numeric) = 0.2165356673160075 absolute error = 1.290634266126744e-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] = -1.51999999999994 y[1] (closed_form) = 0.218711886952228 y[1] (numeric) = 0.2187118869522151 absolute error = 1.282307593442056e-14 relative error = 5.862999086657522e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.509999999999941 y[1] (closed_form) = 0.2209099779593913 y[1] (numeric) = 0.2209099779593786 absolute error = 1.271205363195804e-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] = -1.499999999999942 y[1] (closed_form) = 0.2231301601484428 y[1] (numeric) = 0.2231301601484302 absolute error = 1.25732757538799e-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 = 1.240674230018612e-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) = 0.2276376883838255 y[1] (numeric) = 0.2276376883838132 absolute error = 1.224020884649235e-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] = -1.469999999999945 y[1] (closed_form) = 0.2299254851867364 y[1] (numeric) = 0.2299254851867243 absolute error = 1.212918654402984e-14 relative error = 5.275268434979701e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.459999999999946 y[1] (closed_form) = 0.2322362747297713 y[1] (numeric) = 0.2322362747297593 absolute error = 1.199040866595169e-14 relative error = 5.163021444390484e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.449999999999947 y[1] (closed_form) = 0.23457028809381 y[1] (numeric) = 0.2345702880937981 absolute error = 1.187938636348917e-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] = -1.439999999999948 y[1] (closed_form) = 0.236927758682134 y[1] (numeric) = 0.2369277586821222 absolute error = 1.176836406102666e-14 relative error = 4.967068496526522e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.42999999999995 y[1] (closed_form) = 0.2393089222437666 y[1] (numeric) = 0.239308922243755 absolute error = 1.157407503171726e-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] = -1.419999999999951 y[1] (closed_form) = 0.2417140168970484 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] = -1.409999999999952 y[1] (closed_form) = 0.2441432831534489 y[1] (numeric) = 0.2441432831534376 absolute error = 1.129651927556097e-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] = -1.399999999999953 y[1] (closed_form) = 0.2465969639416181 y[1] (numeric) = 0.246596963941607 absolute error = 1.112998582186719e-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) = 0.2490753046316797 y[1] (numeric) = 0.2490753046316687 absolute error = 1.096345236817342e-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) = 0.2515785530597678 y[1] (numeric) = 0.251578553059757 absolute error = 1.082467449009528e-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] = -1.369999999999956 y[1] (closed_form) = 0.2541069595528114 y[1] (numeric) = 0.2541069595528008 absolute error = 1.060262988517024e-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] = -1.359999999999957 y[1] (closed_form) = 0.2566607769535669 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] = -1.349999999999958 y[1] (closed_form) = 0.2592402606459023 y[1] (numeric) = 0.259240260645892 absolute error = 1.032507412901396e-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] = -1.339999999999959 y[1] (closed_form) = 0.2618456685803366 y[1] (numeric) = 0.2618456685803265 absolute error = 1.004751837285767e-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] = -1.329999999999961 y[1] (closed_form) = 0.2644772612998344 y[1] (numeric) = 0.2644772612998246 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] = -1.319999999999962 y[1] (closed_form) = 0.2671353019658606 y[1] (numeric) = 0.2671353019658511 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] = -1.309999999999963 y[1] (closed_form) = 0.2698200563846969 y[1] (numeric) = 0.2698200563846876 absolute error = 9.325873406851315e-15 relative error = 3.456330686387122e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.299999999999964 y[1] (closed_form) = 0.2725317930340225 y[1] (numeric) = 0.2725317930340133 absolute error = 9.159339953157541e-15 relative error = 3.360833556771155e-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) = 0.2752707830897531 absolute error = 8.93729534823251e-15 relative error = 3.246728638585004e-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] = -1.269999999999967 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] = -1.259999999999968 y[1] (closed_form) = 0.2836540264997794 y[1] (numeric) = 0.2836540264997711 absolute error = 8.271161533457416e-15 relative error = 2.915933059551985e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.249999999999969 y[1] (closed_form) = 0.2865047968601989 y[1] (numeric) = 0.2865047968601908 absolute error = 8.049116928532385e-15 relative error = 2.809417858528904e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.23999999999997 y[1] (closed_form) = 0.2893842179390592 y[1] (numeric) = 0.2893842179390513 absolute error = 7.827072323607354e-15 relative error = 2.704733651112806e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.229999999999972 y[1] (closed_form) = 0.2922925776808677 y[1] (numeric) = 0.2922925776808601 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] = -1.219999999999973 y[1] (closed_form) = 0.2952301669240223 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] = -1.209999999999974 y[1] (closed_form) = 0.2981972794298952 y[1] (numeric) = 0.2981972794298881 absolute error = 7.105427357601002e-15 relative error = 2.38279415935163e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.199999999999975 y[1] (closed_form) = 0.3011942119122097 y[1] (numeric) = 0.3011942119122029 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) = 0.3042212640667113 y[1] (numeric) = 0.3042212640667049 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] = -1.169999999999978 y[1] (closed_form) = 0.3103669412654918 y[1] (numeric) = 0.3103669412654856 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] = -1.159999999999979 y[1] (closed_form) = 0.3134861808826118 y[1] (numeric) = 0.313486180882606 absolute error = 5.828670879282072e-15 relative error = 1.859307119335088e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.14999999999998 y[1] (closed_form) = 0.3166367693790594 y[1] (numeric) = 0.3166367693790539 absolute error = 5.495603971894525e-15 relative error = 1.735617749849987e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.139999999999981 y[1] (closed_form) = 0.3198190218163098 y[1] (numeric) = 0.3198190218163046 absolute error = 5.218048215738236e-15 relative error = 1.631562808898608e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.129999999999983 y[1] (closed_form) = 0.3230332564222586 y[1] (numeric) = 0.3230332564222537 absolute error = 4.829470157119431e-15 relative error = 1.495038068404482e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.119999999999984 y[1] (closed_form) = 0.3262797946230448 y[1] (numeric) = 0.3262797946230402 absolute error = 4.551914400963142e-15 relative error = 1.39509539848216e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.109999999999985 y[1] (closed_form) = 0.3295589610751941 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] = -1.099999999999986 y[1] (closed_form) = 0.3328710836980843 y[1] (numeric) = 0.3328710836980804 absolute error = 3.885780586188048e-15 relative error = 1.167353001353662e-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) = 0.3362164937067377 y[1] (numeric) = 0.3362164937067342 absolute error = 3.552713678800501e-15 relative error = 1.056674418209634e-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) = 0.3395955256449401 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] = -1.069999999999989 y[1] (closed_form) = 0.3430085174187104 y[1] (numeric) = 0.3430085174187076 absolute error = 2.720046410331634e-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] = -1.05999999999999 y[1] (closed_form) = 0.3464558103300608 y[1] (numeric) = 0.3464558103300584 absolute error = 2.386979502944087e-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] = -1.049999999999991 y[1] (closed_form) = 0.3499377491111584 y[1] (numeric) = 0.3499377491111564 absolute error = 1.998401444325282e-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] = -1.039999999999992 y[1] (closed_form) = 0.3534546819587828 y[1] (numeric) = 0.3534546819587812 absolute error = 1.665334536937735e-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] = -1.029999999999994 y[1] (closed_form) = 0.3570069605691497 y[1] (numeric) = 0.3570069605691484 absolute error = 1.27675647831893e-15 relative error = 3.576278950649847e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.019999999999995 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] = -1.009999999999996 y[1] (closed_form) = 0.3642189795715248 y[1] (numeric) = 0.3642189795715244 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 relative error = 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) = 0.3715766910220469 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) = 0.3753110988514007 y[1] (numeric) = 0.3753110988514008 absolute error = 5.551115123125783e-17 relative error = 1.479070333948123e-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) = 0.3790830381034 y[1] (numeric) = 0.3790830381034 absolute error = 5.551115123125783e-17 relative error = 1.464353338228665e-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 = 1.110223024625157e-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) = 0.3867410234545025 y[1] (numeric) = 0.3867410234545023 absolute error = 1.665334536937735e-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) = 0.3906278353585224 y[1] (numeric) = 0.3906278353585221 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) = 0.3985190410845155 y[1] (numeric) = 0.3985190410845153 absolute error = 1.665334536937735e-16 relative error = 4.178807949566859e-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 = 1.110223024625157e-16 relative error = 2.758152077158914e-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) = 0.4065696597406004 y[1] (numeric) = 0.4065696597406004 absolute error = 5.551115123125783e-17 relative error = 1.365354002723052e-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) = 0.4106557527523468 y[1] (numeric) = 0.4106557527523467 absolute error = 1.110223024625157e-16 relative error = 2.703537006809438e-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) = 0.4147829116815828 y[1] (numeric) = 0.4147829116815825 absolute error = 2.220446049250313e-16 relative error = 5.353272728252816e-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 = 1.665334536937735e-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) = 0.42316208231775 absolute error = 1.665334536937735e-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 = 1.110223024625157e-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 = 1.110223024625157e-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) = 0.4360492863215371 y[1] (numeric) = 0.4360492863215369 absolute error = 1.110223024625157e-16 relative error = 2.546095268245646e-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) = 0.4404316545060007 y[1] (numeric) = 0.4404316545060007 absolute error = 5.551115123125783e-17 relative error = 1.260380598518073e-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) = 0.4448580662229427 y[1] (numeric) = 0.4448580662229426 absolute error = 5.551115123125783e-17 relative error = 1.247839602023495e-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 = 1.235423390528989e-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 = 1.110223024625157e-16 relative error = 2.446261444806118e-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 = 1.665334536937735e-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) = 0.4630130683112298 absolute error = 1.665334536937735e-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) = 0.4676664270099108 y[1] (numeric) = 0.467666427009911 absolute error = 1.665334536937735e-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) = 0.4723665527410164 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) = 0.477113915521036 y[1] (numeric) = 0.4771139155210363 absolute error = 2.775557561562891e-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 = 4.607604537185928e-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) = 0.4867522559599733 y[1] (numeric) = 0.4867522559599736 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 = 2.775557561562891e-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) = 0.4965853037914112 y[1] (numeric) = 0.4965853037914115 absolute error = 2.220446049250313e-16 relative error = 4.471429243469926e-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 = 3.33066907387547e-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 = 3.33066907387547e-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 = 3.33066907387547e-16 relative error = 6.444152992564149e-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 = 4.25335506596156e-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 = 1.110223024625157e-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 = 1.110223024625157e-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 relative error = 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 = 1.110223024625157e-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 relative error = 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 = 1.110223024625157e-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 = 3.33066907387547e-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 = 1.110223024625157e-16 relative error = 1.943636918406815e-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 = 3.33066907387547e-16 relative error = 5.658581298923641e-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 = 3.33066907387547e-16 relative error = 5.602277474255503e-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 = 3.33066907387547e-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] = -0.4999999999999963 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) = 0.6312836455069279 absolute error = 3.33066907387547e-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 = 3.33066907387547e-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 = 3.33066907387547e-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] = -0.4199999999999963 y[1] (closed_form) = 0.6570468198150592 y[1] (numeric) = 0.6570468198150591 absolute error = 1.110223024625157e-16 relative error = 1.689716761642122e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4099999999999963 y[1] (closed_form) = 0.6636502501363218 y[1] (numeric) = 0.6636502501363215 absolute error = 3.33066907387547e-16 relative error = 5.018711396840896e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3999999999999962 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] = -0.3899999999999962 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] = -0.3799999999999962 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 = 3.33066907387547e-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) = 0.7189237334319289 y[1] (numeric) = 0.7189237334319282 absolute error = 7.771561172376096e-16 relative error = 1.080999389918172e-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] = -0.3099999999999962 y[1] (closed_form) = 0.7334469562242921 y[1] (numeric) = 0.7334469562242913 absolute error = 7.771561172376096e-16 relative error = 1.059594167843204e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2999999999999962 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] = -0.2899999999999961 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] = -0.2799999999999961 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] = -0.2699999999999961 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 = 1.007917150481804e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2499999999999961 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 = 1.129096061377588e-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 = 1.110223024625157e-15 relative error = 1.397326709817151e-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 = 1.106738461398194e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2099999999999961 y[1] (closed_form) = 0.8105842459701903 y[1] (numeric) = 0.8105842459701893 absolute error = 9.992007221626409e-16 relative error = 1.232692008424979e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1999999999999961 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] = -0.1899999999999961 y[1] (closed_form) = 0.8269591339433656 y[1] (numeric) = 0.8269591339433647 absolute error = 8.881784197001252e-16 relative error = 1.074029396670226e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1799999999999961 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] = -0.169999999999996 y[1] (closed_form) = 0.843664816596387 y[1] (numeric) = 0.8436648165963859 absolute error = 1.110223024625157e-15 relative error = 1.315952737135762e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.159999999999996 y[1] (closed_form) = 0.8521437889662147 y[1] (numeric) = 0.8521437889662135 absolute error = 1.221245327087672e-15 relative error = 1.433144667485327e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.149999999999996 y[1] (closed_form) = 0.8607079764250612 y[1] (numeric) = 0.8607079764250598 absolute error = 1.443289932012704e-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] = -0.139999999999996 y[1] (closed_form) = 0.8693582353988093 y[1] (numeric) = 0.8693582353988076 absolute error = 1.665334536937735e-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 = 1.77635683940025e-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 = 1.665334536937735e-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] = -0.109999999999996 y[1] (closed_form) = 0.8958341352965319 y[1] (numeric) = 0.89583413529653 absolute error = 1.887379141862766e-15 relative error = 2.10683994670288e-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 = 1.77635683940025e-15 relative error = 1.963177919029923e-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 = 1.77635683940025e-15 relative error = 1.943643972355613e-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 = 1.998401444325282e-15 relative error = 2.164842440660528e-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 = 2.109423746787797e-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] = -0.05999999999999595 y[1] (closed_form) = 0.9417645335842525 y[1] (numeric) = 0.9417645335842503 absolute error = 2.220446049250313e-15 relative error = 2.35775076472623e-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 = 2.331468351712829e-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 = 2.442490654175344e-15 relative error = 2.516875568734065e-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 = 2.442490654175344e-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 = 2.442490654175344e-15 relative error = 2.467038093351315e-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) = 1.000000000000002 absolute error = 2.220446049250313e-15 relative error = 2.220446049250304e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.0100000000000041 y[1] (closed_form) = 1.010050167084172 y[1] (numeric) = 1.01005016708417 absolute error = 2.220446049250313e-15 relative error = 2.198352241909261e-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) = 1.020201340026758 absolute error = 2.442490654175344e-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) = 1.030454533953521 y[1] (numeric) = 1.030454533953519 absolute error = 2.442490654175344e-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) = 1.040810774192392 y[1] (numeric) = 1.04081077419239 absolute error = 2.664535259100376e-15 relative error = 2.56005733719263e-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) = 1.051271096376028 y[1] (numeric) = 1.051271096376026 absolute error = 2.664535259100376e-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) = 1.061836546545362 absolute error = 2.442490654175344e-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) = 1.072508181254219 absolute error = 2.442490654175344e-15 relative error = 2.277363191131118e-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) = 1.083287067674961 absolute error = 2.220446049250313e-15 relative error = 2.04973004433258e-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) = 1.094174283705215 y[1] (numeric) = 1.094174283705213 absolute error = 1.77635683940025e-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] = 0.1000000000000042 y[1] (closed_form) = 1.105170918075652 y[1] (numeric) = 1.10517091807565 absolute error = 1.77635683940025e-15 relative error = 1.607314136073434e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1100000000000042 y[1] (closed_form) = 1.116278070458876 y[1] (numeric) = 1.116278070458874 absolute error = 1.998401444325282e-15 relative error = 1.790236229852464e-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) = 1.12749685157938 y[1] (numeric) = 1.127496851579379 absolute error = 1.77635683940025e-15 relative error = 1.575487183766373e-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) = 1.138828383324627 y[1] (numeric) = 1.138828383324625 absolute error = 1.77635683940025e-15 relative error = 1.559810824361843e-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 = 1.998401444325282e-15 relative error = 1.737326753257045e-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 = 1.998401444325282e-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] = 0.1600000000000042 y[1] (closed_form) = 1.173510870991815 y[1] (numeric) = 1.173510870991813 absolute error = 1.998401444325282e-15 relative error = 1.702925378642888e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1700000000000042 y[1] (closed_form) = 1.185304851320371 y[1] (numeric) = 1.185304851320369 absolute error = 1.77635683940025e-15 relative error = 1.498649767122338e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1800000000000042 y[1] (closed_form) = 1.197217363121815 y[1] (numeric) = 1.197217363121813 absolute error = 1.77635683940025e-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] = 0.1900000000000042 y[1] (closed_form) = 1.209249597657257 y[1] (numeric) = 1.209249597657255 absolute error = 1.998401444325282e-15 relative error = 1.652596327670392e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2000000000000043 y[1] (closed_form) = 1.221402758160175 y[1] (numeric) = 1.221402758160173 absolute error = 1.77635683940025e-15 relative error = 1.454357972857385e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2100000000000043 y[1] (closed_form) = 1.233678059956749 y[1] (numeric) = 1.233678059956746 absolute error = 2.220446049250313e-15 relative error = 1.799858586549038e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2200000000000043 y[1] (closed_form) = 1.246076730587386 y[1] (numeric) = 1.246076730587384 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] = 0.2300000000000043 y[1] (closed_form) = 1.258600009929483 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) = 1.271249150321408 absolute error = 2.220446049250313e-15 relative error = 1.746664726335445e-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 = 1.998401444325282e-15 relative error = 1.556356609731549e-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) = 1.296930086665777 y[1] (numeric) = 1.296930086665775 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 = 1.998401444325282e-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) = 1.323129812337443 y[1] (numeric) = 1.323129812337441 absolute error = 1.998401444325282e-15 relative error = 1.510359320522681e-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) = 1.336427488025478 y[1] (numeric) = 1.336427488025475 absolute error = 2.442490654175344e-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) = 1.349858807576006 absolute error = 2.664535259100376e-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) = 1.363425114132184 y[1] (numeric) = 1.363425114132181 absolute error = 2.664535259100376e-15 relative error = 1.95429527553946e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000043 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] = 0.3300000000000043 y[1] (closed_form) = 1.390968128463786 y[1] (numeric) = 1.390968128463783 absolute error = 3.108624468950438e-15 relative error = 2.234863909055678e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000044 y[1] (closed_form) = 1.4049475905636 y[1] (numeric) = 1.404947590563597 absolute error = 3.33066907387547e-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] = 0.3500000000000044 y[1] (closed_form) = 1.419067548593263 y[1] (numeric) = 1.41906754859326 absolute error = 3.33066907387547e-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] = 0.3600000000000044 y[1] (closed_form) = 1.433329414560347 y[1] (numeric) = 1.433329414560343 absolute error = 3.552713678800501e-15 relative error = 2.47864422700782e-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) = 1.447734614663331 y[1] (numeric) = 1.447734614663327 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) = 1.462284589434227 absolute error = 3.552713678800501e-15 relative error = 2.429563782912513e-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) = 1.476980793882649 y[1] (numeric) = 1.476980793882645 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) = 1.491824697641277 y[1] (numeric) = 1.491824697641273 absolute error = 3.33066907387547e-15 relative error = 2.232614246929675e-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) = 1.50681778511286 y[1] (numeric) = 1.506817785112857 absolute error = 3.552713678800501e-15 relative error = 2.357759321598666e-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) = 1.521961555618641 y[1] (numeric) = 1.521961555618637 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] = 0.4300000000000044 y[1] (closed_form) = 1.537257523548288 y[1] (numeric) = 1.537257523548284 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] = 0.4400000000000044 y[1] (closed_form) = 1.552707218511343 y[1] (numeric) = 1.552707218511339 absolute error = 3.996802888650564e-15 relative error = 2.574086628181259e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000045 y[1] (closed_form) = 1.568312185490176 y[1] (numeric) = 1.568312185490172 absolute error = 3.996802888650564e-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] = 0.4600000000000045 y[1] (closed_form) = 1.584073984994489 y[1] (numeric) = 1.584073984994485 absolute error = 3.774758283725532e-15 relative error = 2.38294317025771e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4700000000000045 y[1] (closed_form) = 1.599994193217367 y[1] (numeric) = 1.599994193217364 absolute error = 3.33066907387547e-15 relative error = 2.081675726071202e-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) = 1.616074402192901 y[1] (numeric) = 1.616074402192897 absolute error = 3.33066907387547e-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) = 1.632316219955386 y[1] (numeric) = 1.632316219955382 absolute error = 3.774758283725532e-15 relative error = 2.312516556276517e-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) = 1.648721270700136 y[1] (numeric) = 1.648721270700132 absolute error = 3.774758283725532e-15 relative error = 2.289506632083765e-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) = 1.665291194945894 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 = 3.996802888650564e-15 relative error = 2.376181443489378e-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) = 1.698932308618558 y[1] (numeric) = 1.698932308618555 absolute error = 3.552713678800501e-15 relative error = 2.091144927186237e-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) = 1.716006862184863 absolute error = 3.552713678800501e-15 relative error = 2.07033768750615e-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 = 3.996802888650564e-15 relative error = 2.305954668735114e-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) = 1.750672500296105 absolute error = 3.774758283725532e-15 relative error = 2.156176145502411e-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) = 1.768267051433739 absolute error = 3.774758283725532e-15 relative error = 2.134721834388584e-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) = 1.786038430750081 y[1] (numeric) = 1.786038430750078 absolute error = 3.774758283725532e-15 relative error = 2.113480997237136e-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) = 1.803988415397865 y[1] (numeric) = 1.803988415397862 absolute error = 3.552713678800501e-15 relative error = 1.969366127008614e-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) = 1.822118800390517 y[1] (numeric) = 1.822118800390514 absolute error = 3.552713678800501e-15 relative error = 1.949770606636122e-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) = 1.840431398781646 y[1] (numeric) = 1.840431398781642 absolute error = 3.552713678800501e-15 relative error = 1.930370064949107e-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) = 1.858928041846351 y[1] (numeric) = 1.858928041846347 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) = 1.877610579264352 y[1] (numeric) = 1.877610579264348 absolute error = 3.996802888650564e-15 relative error = 2.128664448735963e-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) = 1.89648087930496 y[1] (numeric) = 1.896480879304956 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) = 1.915540829013905 y[1] (numeric) = 1.915540829013901 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) = 1.93479233440204 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) = 1.954237320635948 y[1] (numeric) = 1.954237320635944 absolute error = 4.218847493575595e-15 relative error = 2.158820450835877e-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) = 1.973877732230457 y[1] (numeric) = 1.973877732230452 absolute error = 4.440892098500626e-15 relative error = 2.249831398362489e-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) = 1.993715533243092 y[1] (numeric) = 1.993715533243087 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 = 2.425809927022672e-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 = 2.401672714955879e-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) = 2.054433210643897 y[1] (numeric) = 2.054433210643893 absolute error = 4.884981308350689e-15 relative error = 2.377775672161981e-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) = 2.075080607674127 absolute error = 4.884981308350689e-15 relative error = 2.354116408916785e-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) = 2.117000016612685 y[1] (numeric) = 2.117000016612679 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) = 2.138276220496829 y[1] (numeric) = 2.138276220496822 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) = 2.159766253784919 absolute error = 6.217248937900877e-15 relative error = 2.878667507192196e-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) = 2.181472265498211 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) = 2.203396426255941 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) = 2.225540928492472 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 = 2.17312333836809e-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) = 2.270499837532416 y[1] (numeric) = 2.270499837532412 absolute error = 4.440892098500626e-15 relative error = 1.955909454425241e-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) = 2.293318740264194 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) = 2.316366976781103 y[1] (numeric) = 2.316366976781098 absolute error = 4.884981308350689e-15 relative error = 2.108897837569336e-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 = 3.996802888650564e-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) = 2.363160693705806 y[1] (numeric) = 2.363160693705802 absolute error = 3.996802888650564e-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 = 3.996802888650564e-15 relative error = 1.674466762237584e-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) = 2.410899706417221 y[1] (numeric) = 2.410899706417217 absolute error = 3.996802888650564e-15 relative error = 1.657805539571828e-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) = 2.435129651289886 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) = 2.459603111156961 y[1] (numeric) = 2.459603111156957 absolute error = 3.996802888650564e-15 relative error = 1.624978790488896e-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) = 2.484322533384828 y[1] (numeric) = 2.484322533384824 absolute error = 3.996802888650564e-15 relative error = 1.608809981369455e-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 = 3.996802888650564e-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) = 2.534509177617863 absolute error = 3.552713678800501e-15 relative error = 1.401736363858672e-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) = 2.559981418329284 y[1] (numeric) = 2.55998141832928 absolute error = 3.996802888650564e-15 relative error = 1.561262460748246e-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) = 2.585709659315854 absolute error = 4.440892098500626e-15 relative error = 1.717475155225131e-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) = 2.61169647342313 y[1] (numeric) = 2.611696473423126 absolute error = 3.996802888650564e-15 relative error = 1.530347392709071e-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) = 2.637944459354165 y[1] (numeric) = 2.637944459354161 absolute error = 4.440892098500626e-15 relative error = 1.683466868588987e-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) = 2.664456241929426 absolute error = 4.440892098500626e-15 relative error = 1.666716093368759e-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) = 2.691234472349275 y[1] (numeric) = 2.691234472349271 absolute error = 3.996802888650564e-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] = 1.000000000000005 y[1] (closed_form) = 2.718281828459058 y[1] (numeric) = 2.718281828459055 absolute error = 3.552713678800501e-15 relative error = 1.306970322799261e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.010000000000004 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] = 1.020000000000003 y[1] (closed_form) = 2.773194763964305 y[1] (numeric) = 2.773194763964308 absolute error = 2.664535259100376e-15 relative error = 9.608179323443551e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.030000000000002 y[1] (closed_form) = 2.801065834699084 y[1] (numeric) = 2.801065834699089 absolute error = 5.329070518200751e-15 relative error = 1.902515268361498e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (closed_form) = 2.829217014351561 y[1] (numeric) = 2.82921701435157 absolute error = 8.881784197001252e-15 relative error = 3.139308208577596e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999999 y[1] (closed_form) = 2.857651118063162 y[1] (numeric) = 2.857651118063175 absolute error = 1.243449787580175e-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] = 1.059999999999998 y[1] (closed_form) = 2.886370989267953 y[1] (numeric) = 2.886370989267968 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] = 1.069999999999997 y[1] (closed_form) = 2.915379499976988 y[1] (numeric) = 2.915379499977006 absolute error = 1.77635683940025e-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) = 2.944679551065533 absolute error = 2.131628207280301e-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) = 2.974274072563051 y[1] (numeric) = 2.974274072563075 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] = 1.099999999999994 y[1] (closed_form) = 3.004166023946415 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] = 1.109999999999993 y[1] (closed_form) = 3.034358394435654 y[1] (numeric) = 3.034358394435685 absolute error = 3.108624468950438e-14 relative error = 1.024475050360225e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999992 y[1] (closed_form) = 3.064854203292977 y[1] (numeric) = 3.064854203293012 absolute error = 3.508304757815495e-14 relative error = 1.144688955855081e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999991 y[1] (closed_form) = 3.095656500124682 y[1] (numeric) = 3.095656500124722 absolute error = 3.952393967665557e-14 relative error = 1.276754694038686e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999989 y[1] (closed_form) = 3.126768365186123 y[1] (numeric) = 3.126768365186166 absolute error = 4.307665335545607e-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] = 1.149999999999988 y[1] (closed_form) = 3.158192909689731 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] = 1.159999999999987 y[1] (closed_form) = 3.189933276116144 y[1] (numeric) = 3.189933276116195 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] = 1.169999999999986 y[1] (closed_form) = 3.221992638528455 y[1] (numeric) = 3.22199263852851 absolute error = 5.506706202140776e-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) = 3.254374202889622 y[1] (numeric) = 3.254374202889681 absolute error = 5.861977570020827e-14 relative error = 1.801261073424151e-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) = 3.287081207383066 y[1] (numeric) = 3.287081207383129 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] = 1.199999999999983 y[1] (closed_form) = 3.32011692273649 y[1] (numeric) = 3.320116922736557 absolute error = 6.705747068735946e-14 relative error = 2.019732203650517e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999982 y[1] (closed_form) = 3.353484652548962 y[1] (numeric) = 3.353484652549033 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] = 1.219999999999981 y[1] (closed_form) = 3.387187733621269 y[1] (numeric) = 3.387187733621345 absolute error = 7.549516567451064e-14 relative error = 2.228845036404232e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.22999999999998 y[1] (closed_form) = 3.421229536289604 y[1] (numeric) = 3.421229536289684 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] = 1.239999999999978 y[1] (closed_form) = 3.455613464762601 y[1] (numeric) = 3.455613464762685 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] = 1.249999999999977 y[1] (closed_form) = 3.490342957461762 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] = 1.259999999999976 y[1] (closed_form) = 3.525421487365298 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] = 1.269999999999975 y[1] (closed_form) = 3.560852562355432 y[1] (numeric) = 3.56085256235553 absolute error = 9.814371537686384e-14 relative error = 2.756185875664106e-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) = 3.596639725569291 absolute error = 1.034727858950646e-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) = 3.63278655575282 absolute error = 1.088018564132653e-13 relative error = 2.994997221649915e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999972 y[1] (closed_form) = 3.669296667619141 y[1] (numeric) = 3.669296667619255 absolute error = 1.13686837721616e-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] = 1.309999999999971 y[1] (closed_form) = 3.70617371221009 y[1] (numeric) = 3.706173712210209 absolute error = 1.185718190299667e-13 relative error = 3.199305489630144e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.31999999999997 y[1] (closed_form) = 3.743421377260749 y[1] (numeric) = 3.743421377260872 absolute error = 1.230127111284673e-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] = 1.329999999999969 y[1] (closed_form) = 3.781043387568662 y[1] (numeric) = 3.781043387568791 absolute error = 1.287858708565182e-13 relative error = 3.406093441824581e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999967 y[1] (closed_form) = 3.819043505366211 y[1] (numeric) = 3.819043505366346 absolute error = 1.35003119794419e-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] = 1.349999999999966 y[1] (closed_form) = 3.857425530696844 y[1] (numeric) = 3.857425530696985 absolute error = 1.403321903126198e-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] = 1.359999999999965 y[1] (closed_form) = 3.896193301795079 y[1] (numeric) = 3.896193301795225 absolute error = 1.465494392505207e-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] = 1.369999999999964 y[1] (closed_form) = 3.935350695470332 y[1] (numeric) = 3.935350695470484 absolute error = 1.523225989785715e-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) = 3.974901627494759 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 = 1.63424829224823e-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] = 1.399999999999961 y[1] (closed_form) = 4.055199966844516 y[1] (numeric) = 4.055199966844685 absolute error = 1.696420781627239e-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] = 1.40999999999996 y[1] (closed_form) = 4.095955404071011 y[1] (numeric) = 4.095955404071186 absolute error = 1.749711486809247e-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] = 1.419999999999959 y[1] (closed_form) = 4.137120440251222 y[1] (numeric) = 4.1371204402514 absolute error = 1.785238623597252e-13 relative error = 4.315171988294461e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999958 y[1] (closed_form) = 4.178699191923068 y[1] (numeric) = 4.178699191923254 absolute error = 1.856292897173262e-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] = 1.439999999999956 y[1] (closed_form) = 4.220695816996369 y[1] (numeric) = 4.220695816996559 absolute error = 1.900701818158268e-13 relative error = 4.503290216992918e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.449999999999955 y[1] (closed_form) = 4.263114515168627 y[1] (numeric) = 4.263114515168825 absolute error = 1.980637875931279e-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] = 1.459999999999954 y[1] (closed_form) = 4.305959528345009 y[1] (numeric) = 4.305959528345213 absolute error = 2.033928581113287e-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] = 1.469999999999953 y[1] (closed_form) = 4.349235141062537 y[1] (numeric) = 4.349235141062747 absolute error = 2.096101070492296e-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 = 2.167155344068306e-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 = 2.229327833447314e-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] = 1.49999999999995 y[1] (closed_form) = 4.48168907033784 y[1] (numeric) = 4.481689070338071 absolute error = 2.309263891220326e-13 relative error = 5.152664218730034e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999949 y[1] (closed_form) = 4.52673079431402 y[1] (numeric) = 4.526730794314259 absolute error = 2.380318164796336e-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] = 1.519999999999948 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] = 1.529999999999947 y[1] (closed_form) = 4.618176822299533 y[1] (numeric) = 4.618176822299787 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] = 1.539999999999945 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] = 1.549999999999944 y[1] (closed_form) = 4.711470182590479 y[1] (numeric) = 4.711470182590748 absolute error = 2.691180611691379e-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] = 1.559999999999943 y[1] (closed_form) = 4.758821245137584 y[1] (numeric) = 4.758821245137861 absolute error = 2.771116669464391e-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] = 1.599999999999939 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] = 1.609999999999938 y[1] (closed_form) = 5.002811227833276 y[1] (numeric) = 5.002811227833595 absolute error = 3.18856052672345e-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] = 1.619999999999937 y[1] (closed_form) = 5.053090316563547 y[1] (numeric) = 5.053090316563877 absolute error = 3.295141937087465e-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] = 1.629999999999936 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] = 1.639999999999934 y[1] (closed_form) = 5.155169512234343 y[1] (numeric) = 5.15516951223469 absolute error = 3.47277762102749e-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] = 1.649999999999933 y[1] (closed_form) = 5.206979827179501 y[1] (numeric) = 5.206979827179858 absolute error = 3.570477247194503e-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] = 1.659999999999932 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 = 3.854694341498544e-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) = 5.41948070513082 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] = 1.699999999999928 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] = 1.709999999999927 y[1] (closed_form) = 5.528961477623599 y[1] (numeric) = 5.528961477624013 absolute error = 4.138911435802584e-13 relative error = 7.485874974085599e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.719999999999926 y[1] (closed_form) = 5.584528464275638 y[1] (numeric) = 5.584528464276062 absolute error = 4.236611061969597e-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] = 1.729999999999924 y[1] (closed_form) = 5.640653908427895 y[1] (numeric) = 5.64065390842833 absolute error = 4.352074256530614e-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] = 1.739999999999923 y[1] (closed_form) = 5.697343422671555 y[1] (numeric) = 5.697343422672001 absolute error = 4.458655666894629e-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] = 1.749999999999922 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] = 1.759999999999921 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] = 1.789999999999918 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] = 1.799999999999917 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] = 1.809999999999916 y[1] (closed_form) = 6.110447432230095 y[1] (numeric) = 6.110447432230623 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] = 1.819999999999915 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] = 1.829999999999913 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] = 1.839999999999912 y[1] (closed_form) = 6.296538261026105 y[1] (numeric) = 6.29653826102667 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] = 1.849999999999911 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] = 1.85999999999991 y[1] (closed_form) = 6.423736771428557 y[1] (numeric) = 6.423736771429147 absolute error = 5.897504706808832e-13 relative error = 9.180800703166579e-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] = 1.889999999999907 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] = 1.899999999999906 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] = 1.909999999999905 y[1] (closed_form) = 6.753088798530642 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] = 1.919999999999904 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] = 1.929999999999902 y[1] (closed_form) = 6.889510241580621 y[1] (numeric) = 6.889510241581307 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] = 1.939999999999901 y[1] (closed_form) = 6.958750970636586 y[1] (numeric) = 6.958750970637286 absolute error = 7.007727731433988e-13 relative error = 1.007038153973905e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9499999999999 y[1] (closed_form) = 7.028687580588592 y[1] (numeric) = 7.028687580589306 absolute error = 7.140954494389007e-13 relative error = 1.015972670930839e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999899 y[1] (closed_form) = 7.099327065155917 y[1] (numeric) = 7.099327065156646 absolute error = 7.291944825738028e-13 relative error = 1.027131833596947e-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) = 7.170676488346627 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 = 1.049713801554266e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999896 y[1] (closed_form) = 7.315533762308805 y[1] (numeric) = 7.315533762309579 absolute error = 7.744915819785092e-13 relative error = 1.058694563025402e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999895 y[1] (closed_form) = 7.389056098929872 y[1] (numeric) = 7.389056098930662 absolute error = 7.895906151134113e-13 relative error = 1.06859469537356e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.009999999999894 y[1] (closed_form) = 7.463317347318401 y[1] (numeric) = 7.463317347319208 absolute error = 8.073541835074138e-13 relative error = 1.08176317036485e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999893 y[1] (closed_form) = 7.538324933661112 y[1] (numeric) = 7.538324933661936 absolute error = 8.233413950620161e-13 relative error = 1.092207356816797e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999891 y[1] (closed_form) = 7.614086358779148 y[1] (numeric) = 7.614086358779988 absolute error = 8.402167850363185e-13 relative error = 1.103503093404682e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.03999999999989 y[1] (closed_form) = 7.690609198878155 y[1] (numeric) = 7.690609198879012 absolute error = 8.570921750106208e-13 relative error = 1.114465906206295e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999889 y[1] (closed_form) = 7.767901106305912 y[1] (numeric) = 7.767901106306788 absolute error = 8.757439218243235e-13 relative error = 1.127388093436723e-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) = 7.845969810317571 y[1] (numeric) = 7.845969810318464 absolute error = 8.926193117986259e-13 relative error = 1.137678748935304e-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) = 7.924823117849503 absolute error = 9.103828801926284e-13 relative error = 1.148773753880044e-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 = 1.158425724548583e-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 = 1.168870444965605e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.099999999999884 y[1] (closed_form) = 8.166169912566701 y[1] (numeric) = 8.166169912567666 absolute error = 9.64561763794336e-13 relative error = 1.181167884236645e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999883 y[1] (closed_form) = 8.248241284625694 y[1] (numeric) = 8.24824128462668 absolute error = 9.85878045867139e-13 relative error = 1.195258494322621e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999882 y[1] (closed_form) = 8.331137487686705 y[1] (numeric) = 8.331137487687711 absolute error = 1.005417971100542e-12 relative error = 1.206819564058971e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.12999999999988 y[1] (closed_form) = 8.414866811439124 y[1] (numeric) = 8.414866811440151 absolute error = 1.026734253173345e-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] = 2.139999999999879 y[1] (closed_form) = 8.499437628885097 y[1] (numeric) = 8.499437628886145 absolute error = 1.048050535246148e-12 relative error = 1.233082212032921e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.149999999999878 y[1] (closed_form) = 8.584858397176848 y[1] (numeric) = 8.584858397177916 absolute error = 1.067590460479551e-12 relative error = 1.243573756359954e-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) = 8.671137658463479 absolute error = 1.088906742552354e-12 relative error = 1.25578301884028e-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 = 1.108446667785756e-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 = 1.275093310168079e-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 = 1.152855588770763e-12 relative error = 1.290238491205564e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.199999999999873 y[1] (closed_form) = 9.025013499432973 y[1] (numeric) = 9.025013499434143 absolute error = 1.170619157164765e-12 relative error = 1.297082998533258e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.209999999999872 y[1] (closed_form) = 9.115716393039136 y[1] (numeric) = 9.115716393040328 absolute error = 1.191935439237568e-12 relative error = 1.307560906729989e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.219999999999871 y[1] (closed_form) = 9.207330865881058 y[1] (numeric) = 9.207330865882273 absolute error = 1.215028078149771e-12 relative error = 1.319631167651652e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.229999999999869 y[1] (closed_form) = 9.299866079482371 y[1] (numeric) = 9.299866079483609 absolute error = 1.238120717061975e-12 relative error = 1.331331770242963e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.239999999999868 y[1] (closed_form) = 9.393331287441546 y[1] (numeric) = 9.393331287442805 absolute error = 1.259436999134778e-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 = 1.282529638046981e-12 relative error = 1.351776293277783e-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 = 1.307398633798584e-12 relative error = 1.36427681204618e-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 = 1.330491272710788e-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) = 9.776680409528931 absolute error = 1.355360268462391e-12 relative error = 1.386319498734524e-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) = 9.874937681171829 y[1] (numeric) = 9.874937681173208 absolute error = 1.378452907374594e-12 relative error = 1.395910487620432e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.299999999999862 y[1] (closed_form) = 9.974182454813342 y[1] (numeric) = 9.974182454814745 absolute error = 1.403321903126198e-12 relative error = 1.406954313783364e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.309999999999861 y[1] (closed_form) = 10.07442465501218 y[1] (numeric) = 10.07442465501361 absolute error = 1.429967255717202e-12 relative error = 1.419403394918211e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.31999999999986 y[1] (closed_form) = 10.1756743060719 y[1] (numeric) = 10.17567430607336 absolute error = 1.458388965147606e-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] = 2.329999999999858 y[1] (closed_form) = 10.27794153304199 y[1] (numeric) = 10.27794153304348 absolute error = 1.483257960899209e-12 relative error = 1.44314691432206e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.339999999999857 y[1] (closed_form) = 10.38123656273036 y[1] (numeric) = 10.38123656273187 absolute error = 1.508126956650813e-12 relative error = 1.452743078859346e-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) = 10.48556972472607 y[1] (numeric) = 10.4855697247276 absolute error = 1.536548666081217e-12 relative error = 1.46539358987607e-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) = 10.59095145243225 y[1] (numeric) = 10.59095145243381 absolute error = 1.55964130499342e-12 relative error = 1.472616801236723e-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) = 10.69739228411108 absolute error = 1.591615728102624e-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 = 1.620037437533028e-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) = 10.91349394304036 y[1] (numeric) = 10.913493943042 absolute error = 1.648459146963432e-12 relative error = 1.51047790521263e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.399999999999851 y[1] (closed_form) = 11.02317638063996 y[1] (numeric) = 11.02317638064163 absolute error = 1.676880856393836e-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] = 2.40999999999985 y[1] (closed_form) = 11.13396114506363 y[1] (numeric) = 11.13396114506533 absolute error = 1.70352620898484e-12 relative error = 1.530027082715407e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.419999999999848 y[1] (closed_form) = 11.24585931488014 y[1] (numeric) = 11.24585931488187 absolute error = 1.731947918415244e-12 relative error = 1.540076102609241e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.429999999999847 y[1] (closed_form) = 11.35888207999972 y[1] (numeric) = 11.35888208000149 absolute error = 1.763922341524449e-12 relative error = 1.552901358691182e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.439999999999846 y[1] (closed_form) = 11.47304074279307 y[1] (numeric) = 11.47304074279486 absolute error = 1.790567694115452e-12 relative error = 1.560674048194433e-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) = 11.5883467192216 y[1] (numeric) = 11.58834671922342 absolute error = 1.824318474064057e-12 relative error = 1.574269840440707e-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) = 11.70481153998088 absolute error = 1.854516540333861e-12 relative error = 1.584405296915344e-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) = 11.82244685164451 y[1] (numeric) = 11.82244685164639 absolute error = 1.886490963443066e-12 relative error = 1.595685721505827e-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) = 11.94126441784721 y[1] (numeric) = 11.94126441784914 absolute error = 1.920241743391671e-12 relative error = 1.608072375084258e-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) = 12.0612761204428 y[1] (numeric) = 12.06127612044475 absolute error = 1.953992523340276e-12 relative error = 1.620054547983054e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.49999999999984 y[1] (closed_form) = 12.18249396070152 y[1] (numeric) = 12.18249396070351 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] = 2.509999999999839 y[1] (closed_form) = 12.30493006050843 y[1] (numeric) = 12.30493006051045 absolute error = 2.021494083237485e-12 relative error = 1.642832647806175e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.519999999999837 y[1] (closed_form) = 12.42859666357552 y[1] (numeric) = 12.42859666357758 absolute error = 2.05524486318609e-12 relative error = 1.653641934659762e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.529999999999836 y[1] (closed_form) = 12.55350613666618 y[1] (numeric) = 12.55350613666827 absolute error = 2.090771999974095e-12 relative error = 1.665488491591512e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.539999999999835 y[1] (closed_form) = 12.67967097083179 y[1] (numeric) = 12.67967097083391 absolute error = 2.1245227799227e-12 relative error = 1.675534629258073e-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) = 12.80710378266091 y[1] (numeric) = 12.80710378266307 absolute error = 2.158273559871304e-12 relative error = 1.68521595241019e-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) = 12.93581731554092 y[1] (numeric) = 12.93581731554311 absolute error = 2.19735341033811e-12 relative error = 1.698658350484155e-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) = 13.06582444093236 y[1] (numeric) = 13.06582444093459 absolute error = 2.229327833447314e-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) = 13.19713815965613 y[1] (numeric) = 13.19713815965839 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] = 2.58999999999983 y[1] (closed_form) = 13.3297716031935 y[1] (numeric) = 13.32977160319581 absolute error = 2.303934820702125e-12 relative error = 1.728412826030834e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.599999999999829 y[1] (closed_form) = 13.46373803499938 y[1] (numeric) = 13.46373803500173 absolute error = 2.34123831432953e-12 relative error = 1.738921470577793e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.609999999999828 y[1] (closed_form) = 13.59905085182858 y[1] (numeric) = 13.59905085183096 absolute error = 2.380318164796336e-12 relative error = 1.75035610259246e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.619999999999826 y[1] (closed_form) = 13.73572358507554 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] = 2.629999999999825 y[1] (closed_form) = 13.87376990212748 y[1] (numeric) = 13.87376990212994 absolute error = 2.456701508890546e-12 relative error = 1.770752669405179e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.639999999999824 y[1] (closed_form) = 14.01320360773115 y[1] (numeric) = 14.01320360773365 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 = 1.79467524710532e-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) = 14.29628909867506 y[1] (numeric) = 14.29628909867764 absolute error = 2.581046487648564e-12 relative error = 1.805396120513377e-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) = 14.4399691928003 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) = 14.58509329587816 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] = 2.689999999999819 y[1] (closed_form) = 14.7316759204399 y[1] (numeric) = 14.73167592044261 absolute error = 2.710720536924782e-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] = 2.699999999999818 y[1] (closed_form) = 14.87973172487012 y[1] (numeric) = 14.87973172487288 absolute error = 2.756905814749189e-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] = 2.709999999999817 y[1] (closed_form) = 15.02927551487265 y[1] (numeric) = 15.02927551487544 absolute error = 2.797762022055394e-12 relative error = 1.861541508961486e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.719999999999815 y[1] (closed_form) = 15.18032224495109 y[1] (numeric) = 15.18032224495394 absolute error = 2.843947299879801e-12 relative error = 1.873443299812482e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.729999999999814 y[1] (closed_form) = 15.33288701990435 y[1] (numeric) = 15.33288701990724 absolute error = 2.888356220864807e-12 relative error = 1.88376541033355e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.739999999999813 y[1] (closed_form) = 15.48698509633704 y[1] (numeric) = 15.48698509633998 absolute error = 2.936317855528614e-12 relative error = 1.895990625201226e-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) = 15.64263188418523 y[1] (numeric) = 15.64263188418821 absolute error = 2.98072677651362e-12 relative error = 1.905514876641154e-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) = 15.79984294825741 y[1] (numeric) = 15.79984294826044 absolute error = 3.030464768016827e-12 relative error = 1.918034741194096e-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) = 15.958634009791 y[1] (numeric) = 15.95863400979407 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) = 16.11902094802446 y[1] (numeric) = 16.11902094802759 absolute error = 3.126388037344441e-12 relative error = 1.939564473193149e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.789999999999808 y[1] (closed_form) = 16.2810198017853 y[1] (numeric) = 16.28101980178847 absolute error = 3.172573315168847e-12 relative error = 1.948633042520444e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.799999999999807 y[1] (closed_form) = 16.44464677109387 y[1] (numeric) = 16.44464677109709 absolute error = 3.218758592993254e-12 relative error = 1.95732911615416e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.809999999999806 y[1] (closed_form) = 16.60991821878347 y[1] (numeric) = 16.60991821878673 absolute error = 3.26494387081766e-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] = 2.819999999999804 y[1] (closed_form) = 16.77685067213659 y[1] (numeric) = 16.77685067213991 absolute error = 3.314681862320867e-12 relative error = 1.975747371838967e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.829999999999803 y[1] (closed_form) = 16.94546082453768 y[1] (numeric) = 16.94546082454105 absolute error = 3.371525281181675e-12 relative error = 1.989633280612573e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.839999999999802 y[1] (closed_form) = 17.11576553714249 y[1] (numeric) = 17.11576553714591 absolute error = 3.421263272684882e-12 relative error = 1.998895851465413e-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 = 3.471001264188089e-12 relative error = 2.007777108827057e-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) = 17.4615269365765 y[1] (numeric) = 17.46152693658003 absolute error = 3.531397396727698e-12 relative error = 2.022387509153345e-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) = 17.63701819983378 y[1] (numeric) = 17.63701819983736 absolute error = 3.581135388230905e-12 relative error = 2.030465324498365e-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 = 3.641531520770513e-12 relative error = 2.044165082715164e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.889999999999797 y[1] (closed_form) = 17.99330960154666 y[1] (numeric) = 17.99330960155037 absolute error = 3.709033080667723e-12 relative error = 2.061340110742553e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.899999999999796 y[1] (closed_form) = 18.17414536943935 y[1] (numeric) = 18.17414536944312 absolute error = 3.769429213207331e-12 relative error = 2.074061330853993e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.909999999999795 y[1] (closed_form) = 18.35679856701415 y[1] (numeric) = 18.35679856701798 absolute error = 3.82627263206814e-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] = 2.919999999999793 y[1] (closed_form) = 18.54128745974304 y[1] (numeric) = 18.54128745974693 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] = 2.929999999999792 y[1] (closed_form) = 18.72763049666903 y[1] (numeric) = 18.72763049667297 absolute error = 3.943512183468556e-12 relative error = 2.105718704867637e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.939999999999791 y[1] (closed_form) = 18.91584631225109 y[1] (numeric) = 18.91584631225509 absolute error = 4.000355602329364e-12 relative error = 2.114817141297285e-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) = 19.10595372822764 y[1] (numeric) = 19.1059537282317 absolute error = 4.060751734868973e-12 relative error = 2.125385517326734e-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) = 19.29797175549869 y[1] (numeric) = 19.29797175550281 absolute error = 4.121147867408581e-12 relative error = 2.13553419997846e-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) = 19.49191959602699 y[1] (numeric) = 19.49191959603117 absolute error = 4.18154399994819e-12 relative error = 2.145270494959618e-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) = 19.6878166447582 y[1] (numeric) = 19.68781664476245 absolute error = 4.241940132487798e-12 relative error = 2.154601604143442e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.989999999999786 y[1] (closed_form) = 19.88568249156047 y[1] (numeric) = 19.88568249156478 absolute error = 4.309441692385008e-12 relative error = 2.167107764198662e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.999999999999785 y[1] (closed_form) = 20.08553692318334 y[1] (numeric) = 20.08553692318772 absolute error = 4.376943252282217e-12 relative error = 2.179151729436824e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.009999999999784 y[1] (closed_form) = 20.28739992523654 y[1] (numeric) = 20.28739992524098 absolute error = 4.440892098500626e-12 relative error = 2.188990267292149e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.019999999999782 y[1] (closed_form) = 20.49129168418848 y[1] (numeric) = 20.49129168419299 absolute error = 4.508393658397836e-12 relative error = 2.200151033854351e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.029999999999781 y[1] (closed_form) = 20.69723258938498 y[1] (numeric) = 20.69723258938955 absolute error = 4.575895218295045e-12 relative error = 2.210872974699957e-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 = 2.22456259095052e-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) = 21.11534442253595 y[1] (numeric) = 21.11534442254067 absolute error = 4.725109192804666e-12 relative error = 2.237760890019705e-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) = 21.32755716202217 y[1] (numeric) = 21.32755716202696 absolute error = 4.796163466380676e-12 relative error = 2.248810508369506e-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) = 21.54190267499761 y[1] (numeric) = 21.54190267500248 absolute error = 4.867217739956686e-12 relative error = 2.259418684314163e-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) = 21.75840239619714 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] = 3.089999999999775 y[1] (closed_form) = 21.97707797575847 y[1] (numeric) = 21.97707797576349 absolute error = 5.016431714466307e-12 relative error = 2.282574471455949e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.099999999999774 y[1] (closed_form) = 22.19795128143661 y[1] (numeric) = 22.19795128144169 absolute error = 5.083933274363517e-12 relative error = 2.29027139032197e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.109999999999773 y[1] (closed_form) = 22.42104440074124 y[1] (numeric) = 22.4210444007464 absolute error = 5.158540261618327e-12 relative error = 2.300758238294994e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.119999999999771 y[1] (closed_form) = 22.64637964317022 y[1] (numeric) = 22.64637964317546 absolute error = 5.240252676230739e-12 relative error = 2.313947199861199e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.12999999999977 y[1] (closed_form) = 22.87397954243556 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 = 5.400124791776761e-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) = 23.33606458094278 absolute error = 5.481837206389173e-12 relative error = 2.349083834327045e-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) = 23.57059592906263 y[1] (numeric) = 23.57059592906819 absolute error = 5.559996907322784e-12 relative error = 2.358869891985754e-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) = 23.8074843564231 y[1] (numeric) = 23.80748435642874 absolute error = 5.648814749292796e-12 relative error = 2.372705433604028e-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) = 24.04675355206458 absolute error = 5.737632591262809e-12 relative error = 2.386032101523145e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.189999999999764 y[1] (closed_form) = 24.28842744308882 y[1] (numeric) = 24.28842744309464 absolute error = 5.819345005875221e-12 relative error = 2.395933215318596e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.199999999999763 y[1] (closed_form) = 24.53253019710353 y[1] (numeric) = 24.53253019710943 absolute error = 5.904610134166433e-12 relative error = 2.406849227016776e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.209999999999761 y[1] (closed_form) = 24.77908622458179 y[1] (numeric) = 24.77908622458778 absolute error = 5.993427976136445e-12 relative error = 2.418744550067685e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.21999999999976 y[1] (closed_form) = 25.02812018133181 y[1] (numeric) = 25.0281201813379 absolute error = 6.085798531785258e-12 relative error = 2.431584349001403e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.229999999999759 y[1] (closed_form) = 25.27965697095681 y[1] (numeric) = 25.27965697096299 absolute error = 6.178169087434071e-12 relative error = 2.443929161907545e-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) = 25.53372174735161 absolute error = 6.263434215725283e-12 relative error = 2.453004805841307e-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) = 25.79033991719315 absolute error = 6.355804771374096e-12 relative error = 2.464412951431694e-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) = 26.04953714251198 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) = 26.31133934325944 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) = 26.57577269986741 y[1] (numeric) = 26.57577269987405 absolute error = 6.640021865678136e-12 relative error = 2.498524479670637e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.289999999999753 y[1] (closed_form) = 26.84286365589193 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] = 3.299999999999752 y[1] (closed_form) = 27.11263892065115 y[1] (numeric) = 27.11263892065799 absolute error = 6.835421118012164e-12 relative error = 2.521119813536764e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.30999999999975 y[1] (closed_form) = 27.38512547189638 y[1] (numeric) = 27.38512547190332 absolute error = 6.931344387339777e-12 relative error = 2.531061759951758e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.319999999999749 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] = 3.329999999999748 y[1] (closed_form) = 27.93834170322947 y[1] (numeric) = 27.9383417032366 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) = 28.21912670540871 absolute error = 7.23332505003782e-12 relative error = 2.563270339848354e-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) = 28.50273364376004 y[1] (numeric) = 28.50273364376737 absolute error = 7.332801033044234e-12 relative error = 2.572665879944314e-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) = 28.78919087923533 y[1] (numeric) = 28.78919087924278 absolute error = 7.442935157087049e-12 relative error = 2.58532279990383e-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) = 29.07852705778962 y[1] (numeric) = 29.07852705779717 absolute error = 7.549516567451064e-12 relative error = 2.596251368732476e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.379999999999743 y[1] (closed_form) = 29.37077111328188 y[1] (numeric) = 29.37077111328954 absolute error = 7.65609797781508e-12 relative error = 2.606706493433835e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.389999999999742 y[1] (closed_form) = 29.66595227036119 y[1] (numeric) = 29.66595227036895 absolute error = 7.762679388179095e-12 relative error = 2.616696513711671e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.399999999999741 y[1] (closed_form) = 29.96410004738924 y[1] (numeric) = 29.96410004739711 absolute error = 7.87281351222191e-12 relative error = 2.627415306907529e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.409999999999739 y[1] (closed_form) = 30.2652442593922 y[1] (numeric) = 30.26524425940018 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] = 3.419999999999738 y[1] (closed_form) = 30.56941502104221 y[1] (numeric) = 30.56941502105031 absolute error = 8.100187187665142e-12 relative error = 2.649768463704472e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.429999999999737 y[1] (closed_form) = 30.87664274966893 y[1] (numeric) = 30.87664274967714 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) = 31.18695816830123 y[1] (numeric) = 31.18695816830956 absolute error = 8.324008149429574e-12 relative error = 2.669067019780784e-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) = 31.50039230873958 y[1] (numeric) = 31.50039230874803 absolute error = 8.44124770082999e-12 relative error = 2.679727800878219e-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) = 31.81697651465923 y[1] (numeric) = 31.81697651466779 absolute error = 8.565592679588008e-12 relative error = 2.692145394657953e-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] = 3.479999999999732 y[1] (closed_form) = 32.45972207585509 y[1] (numeric) = 32.4597220758639 absolute error = 8.810729923425242e-12 relative error = 2.714357782495937e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.489999999999731 y[1] (closed_form) = 32.78594770622306 y[1] (numeric) = 32.78594770623199 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] = 3.49999999999973 y[1] (closed_form) = 33.11545195868336 y[1] (numeric) = 33.11545195869243 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] = 3.509999999999728 y[1] (closed_form) = 33.44826778393583 y[1] (numeric) = 33.44826778394503 absolute error = 9.201528428093297e-12 relative error = 2.750973081037251e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.519999999999727 y[1] (closed_form) = 33.78442846384034 y[1] (numeric) = 33.78442846384968 absolute error = 9.336531547887716e-12 relative error = 2.763560602447562e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.529999999999726 y[1] (closed_form) = 34.12396761474503 y[1] (numeric) = 34.12396761475448 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 = 2.785114708676346e-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) = 34.81331748759241 y[1] (numeric) = 34.81331748760215 absolute error = 9.734435479913373e-12 relative error = 2.79618151398032e-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) = 35.16319714509687 y[1] (numeric) = 35.16319714510674 absolute error = 9.869438599707792e-12 relative error = 2.806752343645742e-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 = 2.816835972074726e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.579999999999721 y[1] (closed_form) = 35.87354084705274 y[1] (numeric) = 35.87354084706289 absolute error = 1.014655026665423e-11 relative error = 2.828421735650285e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.58999999999972 y[1] (closed_form) = 36.23407592646631 y[1] (numeric) = 36.2340759264766 absolute error = 1.028865881380625e-11 relative error = 2.839498055555806e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.599999999999719 y[1] (closed_form) = 36.59823444366769 y[1] (numeric) = 36.59823444367812 absolute error = 1.043787278831587e-11 relative error = 2.852015390081709e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.609999999999717 y[1] (closed_form) = 36.96605281481206 y[1] (numeric) = 36.96605281482264 absolute error = 1.057998133546789e-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] = 3.619999999999716 y[1] (closed_form) = 37.33756782204306 y[1] (numeric) = 37.33756782205379 absolute error = 1.072919530997751e-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] = 3.629999999999715 y[1] (closed_form) = 37.71281661717101 y[1] (numeric) = 37.71281661718189 absolute error = 1.087840928448713e-11 relative error = 2.884539066629696e-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 = 1.102051783163915e-11 relative error = 2.893144247962715e-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 = 1.117683723350638e-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) = 38.8613428713326 absolute error = 1.1326051208016e-11 relative error = 2.914477568497601e-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 = 2.927112909659621e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.67999999999971 y[1] (closed_form) = 39.64639407256109 y[1] (numeric) = 39.64639407257274 absolute error = 1.165290086646564e-11 relative error = 2.939208253123456e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.689999999999709 y[1] (closed_form) = 40.04484695727506 y[1] (numeric) = 40.04484695728687 absolute error = 1.181632569569047e-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] = 3.699999999999708 y[1] (closed_form) = 40.44730436005556 y[1] (numeric) = 40.44730436006754 absolute error = 1.197975052491529e-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] = 3.709999999999706 y[1] (closed_form) = 40.85380652697827 y[1] (numeric) = 40.85380652699042 absolute error = 1.214317535414011e-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] = 3.719999999999705 y[1] (closed_form) = 41.26439410859864 y[1] (numeric) = 41.26439410861095 absolute error = 1.231370561072254e-11 relative error = 2.984099458316442e-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 = 1.249134129466256e-11 relative error = 2.997027010632337e-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) = 42.09799016499706 absolute error = 1.266187155124499e-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) = 42.52108200005011 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 = 1.301003749176743e-11 relative error = 3.029223352260798e-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) = 43.3800648358386 y[1] (numeric) = 43.38006483585178 absolute error = 1.318056774834986e-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] = 3.779999999999699 y[1] (closed_form) = 43.81604173556077 y[1] (numeric) = 43.81604173557414 absolute error = 1.337241428700509e-11 relative error = 3.051944848809137e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.789999999999698 y[1] (closed_form) = 44.25640027596999 y[1] (numeric) = 44.25640027598354 absolute error = 1.355715539830271e-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] = 3.799999999999697 y[1] (closed_form) = 44.70118449328726 y[1] (numeric) = 44.70118449330099 absolute error = 1.373479108224274e-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] = 3.809999999999695 y[1] (closed_form) = 45.15043886630497 y[1] (numeric) = 45.15043886631889 absolute error = 1.392663762089796e-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] = 3.819999999999694 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 = 1.431033069820842e-11 relative error = 3.106717789942226e-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) = 46.52547443978938 absolute error = 1.450217723686364e-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) = 46.99306323157946 absolute error = 1.469402377551887e-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 = 3.137652058193547e-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 = 1.508482228018693e-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] = 3.879999999999688 y[1] (closed_form) = 48.42421507133005 y[1] (numeric) = 48.42421507134534 absolute error = 1.529087967355736e-11 relative error = 3.157692830133337e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.889999999999687 y[1] (closed_form) = 48.91088652371656 y[1] (numeric) = 48.91088652373205 absolute error = 1.548983163957018e-11 relative error = 3.166949679405068e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.899999999999685 y[1] (closed_form) = 49.40244910551463 y[1] (numeric) = 49.40244910553034 absolute error = 1.571009988765582e-11 relative error = 3.180024507307705e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.909999999999684 y[1] (closed_form) = 49.89895197339212 y[1] (numeric) = 49.89895197340804 absolute error = 1.592326270838385e-11 relative error = 3.191101632129406e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.919999999999683 y[1] (closed_form) = 50.40044477804953 y[1] (numeric) = 50.40044477806565 absolute error = 1.612932010175427e-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 = 1.634958834983991e-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 = 1.656985659792554e-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) = 51.93536683481481 y[1] (numeric) = 51.9353668348316 absolute error = 1.679012484601117e-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) = 52.4573259490822 y[1] (numeric) = 52.45732594909923 absolute error = 1.7024603948812e-11 relative error = 3.245419708457301e-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 = 1.725197762425523e-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] = 3.979999999999677 y[1] (closed_form) = 53.51703422747386 y[1] (numeric) = 53.51703422749134 absolute error = 1.748645672705607e-11 relative error = 3.267456236967463e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.989999999999676 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] = 3.999999999999674 y[1] (closed_form) = 54.59815003312647 y[1] (numeric) = 54.59815003314444 absolute error = 1.797673121473053e-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 = 1.799094206944574e-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) = 55.70110582677783 y[1] (numeric) = 55.70110582679581 absolute error = 1.797673121473053e-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) = 56.26091124711007 y[1] (numeric) = 56.26091124712802 absolute error = 1.795541493265773e-11 relative error = 3.191454694680233e-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) = 56.8263428054692 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) = 57.39745704542845 y[1] (numeric) = 57.39745704544637 absolute error = 1.791988779586973e-11 relative error = 3.122069986774265e-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) = 57.97431107894155 y[1] (numeric) = 57.97431107895945 absolute error = 1.789857151379692e-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 = 3.051754908962129e-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 = 1.784883352229372e-11 relative error = 3.017785397191259e-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) = 59.73989170414536 absolute error = 1.783462266757851e-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) = 60.34028759734431 y[1] (numeric) = 60.34028759736213 absolute error = 1.781330638550571e-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) = 60.94671756962236 absolute error = 1.778488467607531e-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 = 1.77422521119297e-11 relative error = 2.882142706650401e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.129999999999717 y[1] (closed_form) = 62.17792293474324 y[1] (numeric) = 62.17792293476094 absolute error = 1.76996195477841e-11 relative error = 2.846608363930095e-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) = 62.80282144920182 absolute error = 1.767830326571129e-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 = 2.782400837616405e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.159999999999727 y[1] (closed_form) = 64.07152259991916 y[1] (numeric) = 64.07152259993678 absolute error = 1.762145984685048e-11 relative error = 2.750279551944457e-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) = 64.71545210740319 absolute error = 1.757882728270488e-11 relative error = 2.716326118457064e-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 = 1.755040557327447e-11 relative error = 2.684950124619126e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.189999999999737 y[1] (closed_form) = 66.02279096039258 y[1] (numeric) = 66.02279096041008 absolute error = 1.749356215441367e-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 = 2.614736552961136e-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 = 1.740829702612245e-11 relative error = 2.584499897887017e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.219999999999748 y[1] (closed_form) = 68.03348428940249 y[1] (numeric) = 68.03348428941983 absolute error = 1.733724275254644e-11 relative error = 2.548339679149293e-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 = 1.728039933368564e-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 = 2.481499637078807e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.249999999999758 y[1] (closed_form) = 70.10541234667086 y[1] (numeric) = 70.10541234668803 absolute error = 1.716671249596402e-11 relative error = 2.448700024910306e-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 = 2.414300553174272e-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] = 4.279999999999768 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 = 1.685407369222958e-11 relative error = 2.309838209083431e-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 = 1.678301941865357e-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 = 1.672617599979276e-11 relative error = 2.246919148153416e-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 = 1.661248916207114e-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 = 2.176230073440316e-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 = 1.644195890548872e-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 = 1.635669377719751e-11 relative error = 2.111127810186337e-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 = 1.627142864890629e-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 = 1.615774181118468e-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 = 2.00779546227277e-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 = 1.591615728102624e-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 = 1.578825958858943e-11 relative error = 1.938378294470292e-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) = 82.26946350420179 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 = 1.869212821817076e-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 = 1.527666881884215e-11 relative error = 1.802026461737001e-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 = 1.514877112640534e-11 relative error = 1.769159381189487e-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 = 1.500666257925332e-11 relative error = 1.735124844738163e-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 = 1.485034317738609e-11 relative error = 1.699965688399698e-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 = 1.472244548494928e-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 = 1.458033693779726e-11 relative error = 1.636007674028444e-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 = 1.440980668121483e-11 relative error = 1.600784925383819e-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) = 90.92181851051539 y[1] (numeric) = 90.92181851052963 absolute error = 1.423927642463241e-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 = 1.408295702276519e-11 relative error = 1.533496523441485e-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 = 1.498321637305979e-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 = 1.372768565488514e-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) = 94.63240831491061 y[1] (numeric) = 94.63240831492418 absolute error = 1.357136625301791e-11 relative error = 1.434114009637813e-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) = 95.58347983005299 y[1] (numeric) = 95.58347983006639 absolute error = 1.340083599643549e-11 relative error = 1.402003360859232e-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 = 1.321609488513786e-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 = 1.303135377384024e-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 = 1.302855581450626e-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 = 1.268465175206152e-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) = 100.4841496363771 y[1] (numeric) = 100.4841496363895 absolute error = 1.240607616637135e-11 relative error = 1.234630159210715e-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) = 101.4940321295336 y[1] (numeric) = 101.4940321295457 absolute error = 1.215028078149771e-11 relative error = 1.197142386262741e-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) = 102.5140641104816 y[1] (numeric) = 102.5140641104936 absolute error = 1.193711796076968e-11 relative error = 1.164437100835725e-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) = 103.5443475832694 y[1] (numeric) = 103.5443475832811 absolute error = 1.170974428532645e-11 relative error = 1.13089169603484e-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) = 104.5849855771143 absolute error = 1.146815975516802e-11 relative error = 1.096539784548078e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.659999999999894 y[1] (closed_form) = 105.6360821566483 y[1] (numeric) = 105.6360821566596 absolute error = 1.121236437029438e-11 relative error = 1.061414257456794e-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) = 106.6977424324399 y[1] (numeric) = 106.6977424324509 absolute error = 1.097077984013595e-11 relative error = 1.02821105583209e-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) = 107.7700725713898 y[1] (numeric) = 107.7700725714005 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] = 4.689999999999904 y[1] (closed_form) = 108.8531798074056 y[1] (numeric) = 108.853179807416 absolute error = 1.045918907038867e-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) = 109.9471724521134 y[1] (numeric) = 109.9471724521236 absolute error = 1.021760454023024e-11 relative error = 9.293194460894789e-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) = 111.0521599056893 y[1] (numeric) = 111.0521599056992 absolute error = 9.933387445926201e-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] = 4.719999999999914 y[1] (closed_form) = 112.1682526677996 y[1] (numeric) = 112.1682526678093 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) = 113.2955623486506 y[1] (numeric) = 113.2955623486599 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) = 114.4342016801497 y[1] (numeric) = 114.4342016801588 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] = 4.749999999999925 y[1] (closed_form) = 115.5842845271789 y[1] (numeric) = 115.5842845271878 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) = 116.74592589899 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) = 117.9192419606625 y[1] (numeric) = 117.9192419606708 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] = 4.779999999999935 y[1] (closed_form) = 119.1043500448061 y[1] (numeric) = 119.1043500448139 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) = 120.3013686632156 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) = 121.5104175187277 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] = 4.809999999999945 y[1] (closed_form) = 122.7316175172584 y[1] (numeric) = 122.7316175172653 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) = 123.9650907798174 y[1] (numeric) = 123.965090779824 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) = 125.2109606547591 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) = 126.469351730109 y[1] (numeric) = 126.4693517301149 absolute error = 5.826450433232822e-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) = 127.7403898460235 y[1] (numeric) = 127.7403898460289 absolute error = 5.471179065352771e-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) = 130.3209168964589 absolute error = 4.718003765447065e-12 relative error = 3.620296632194301e-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 = 3.260393890980849e-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) = 132.953574051279 y[1] (numeric) = 132.9535740512829 absolute error = 3.950617610826157e-12 relative error = 2.971426408817292e-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) = 134.2897796849321 y[1] (numeric) = 134.2897796849356 absolute error = 3.524291969370097e-12 relative error = 2.624393291610663e-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) = 135.6394144084622 y[1] (numeric) = 135.6394144084654 absolute error = 3.154809746774845e-12 relative error = 2.325879804578413e-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) = 137.0026131864664 y[1] (numeric) = 137.0026131864691 absolute error = 2.728484105318785e-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) = 138.3795123399585 y[1] (numeric) = 138.3795123399608 absolute error = 2.273736754432321e-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) = 139.7702495600013 y[1] (numeric) = 139.7702495600031 absolute error = 1.790567694115452e-12 relative error = 1.281079270983764e-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) = 141.1749639214769 absolute error = 1.335820343228988e-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) = 142.5937958969883 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) = 144.0268873709197 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) = 145.4743816536102 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) = 146.9364234956955 y[1] (numeric) = 146.9364234956949 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 = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %