##############ECHO OF PROBLEM################# ##############temp/diffpostode.ode################# diff ( y , x , 2 ) = diff ( y , x , 1 ) ; ! // 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); array_y_init[1 + 1] = exact_soln_yp(x_start); glob_look_poles=true; 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(c(1.0) + exp(c(x))); } double exact_soln_yp (double x) { return(exp(c(x))); } double exact_soln_ypp (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) = 1.006737946999085 y[1] (numeric) = 1.006737946999085 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) = 1.006805664492231 y[1] (numeric) = 1.00680566449223 absolute error = 4.440892098500626e-16 relative error = 4.410873175550053e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.979999999999993 y[1] (closed_form) = 1.006874062557496 y[1] (numeric) = 1.006874062557496 absolute error = 6.661338147750939e-16 relative error = 6.615860310107603e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.96999999999999 y[1] (closed_form) = 1.006943148034746 y[1] (numeric) = 1.006943148034746 absolute error = 4.440892098500626e-16 relative error = 4.410270934528854e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.959999999999987 y[1] (closed_form) = 1.007012927832585 y[1] (numeric) = 1.007012927832585 absolute error = 4.440892098500626e-16 relative error = 4.409965329897849e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.949999999999983 y[1] (closed_form) = 1.007083408929052 y[1] (numeric) = 1.007083408929051 absolute error = 1.110223024625157e-15 relative error = 1.102414174219973e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.93999999999998 y[1] (closed_form) = 1.007154598372315 y[1] (numeric) = 1.007154598372314 absolute error = 8.881784197001252e-16 relative error = 8.818690011796903e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.929999999999977 y[1] (closed_form) = 1.007226503281377 y[1] (numeric) = 1.007226503281376 absolute error = 8.881784197001252e-16 relative error = 8.818060454193645e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.919999999999973 y[1] (closed_form) = 1.007299130846789 y[1] (numeric) = 1.007299130846788 absolute error = 6.661338147750939e-16 relative error = 6.613068495503483e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.90999999999997 y[1] (closed_form) = 1.007372488331368 y[1] (numeric) = 1.007372488331367 absolute error = 8.881784197001252e-16 relative error = 8.816782570380909e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.899999999999967 y[1] (closed_form) = 1.007446583070924 y[1] (numeric) = 1.007446583070923 absolute error = 1.110223024625157e-15 relative error = 1.102016765237266e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.889999999999963 y[1] (closed_form) = 1.007521422474994 y[1] (numeric) = 1.007521422474992 absolute error = 1.332267629550188e-15 relative error = 1.322321887982739e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.87999999999996 y[1] (closed_form) = 1.007597014027578 y[1] (numeric) = 1.007597014027576 absolute error = 1.554312234475219e-15 relative error = 1.542593132806443e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.869999999999957 y[1] (closed_form) = 1.007673365287896 y[1] (numeric) = 1.007673365287894 absolute error = 1.554312234475219e-15 relative error = 1.54247625075527e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.859999999999953 y[1] (closed_form) = 1.007750483891137 y[1] (numeric) = 1.007750483891135 absolute error = 1.998401444325282e-15 relative error = 1.983031986855548e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.84999999999995 y[1] (closed_form) = 1.007828377549226 y[1] (numeric) = 1.007828377549224 absolute error = 2.442490654175344e-15 relative error = 2.42351843685414e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.839999999999947 y[1] (closed_form) = 1.007907054051594 y[1] (numeric) = 1.007907054051591 absolute error = 2.442490654175344e-15 relative error = 2.423329258741665e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.829999999999943 y[1] (closed_form) = 1.007986521265956 y[1] (numeric) = 1.007986521265953 absolute error = 2.886579864025407e-15 relative error = 2.863708792851791e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.81999999999994 y[1] (closed_form) = 1.0080667871391 y[1] (numeric) = 1.008066787139097 absolute error = 2.886579864025407e-15 relative error = 2.863480774143486e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.809999999999937 y[1] (closed_form) = 1.008147859697681 y[1] (numeric) = 1.008147859697678 absolute error = 2.886579864025407e-15 relative error = 2.863250500666662e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.799999999999933 y[1] (closed_form) = 1.008229747049021 y[1] (numeric) = 1.008229747049017 absolute error = 3.33066907387547e-15 relative error = 3.30348225057233e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.78999999999993 y[1] (closed_form) = 1.008312457381924 y[1] (numeric) = 1.008312457381921 absolute error = 3.108624468950438e-15 relative error = 3.0829971862313e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.779999999999927 y[1] (closed_form) = 1.008395998967492 y[1] (numeric) = 1.008395998967489 absolute error = 3.108624468950438e-15 relative error = 3.082741772213886e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.769999999999923 y[1] (closed_form) = 1.008480380159954 y[1] (numeric) = 1.008480380159951 absolute error = 3.108624468950438e-15 relative error = 3.082483834199514e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.75999999999992 y[1] (closed_form) = 1.008565609397499 y[1] (numeric) = 1.008565609397496 absolute error = 3.108624468950438e-15 relative error = 3.082223347678374e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.749999999999917 y[1] (closed_form) = 1.008651695203121 y[1] (numeric) = 1.008651695203118 absolute error = 3.33066907387547e-15 relative error = 3.302100308476399e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.739999999999913 y[1] (closed_form) = 1.008738646185474 y[1] (numeric) = 1.00873864618547 absolute error = 3.996802888650564e-15 relative error = 3.962178809907202e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.72999999999991 y[1] (closed_form) = 1.008826471039727 y[1] (numeric) = 1.008826471039724 absolute error = 3.774758283725532e-15 relative error = 3.741731994636452e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.719999999999906 y[1] (closed_form) = 1.00891517854844 y[1] (numeric) = 1.008915178548436 absolute error = 3.996802888650564e-15 relative error = 3.96148553776433e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.709999999999903 y[1] (closed_form) = 1.009004777582437 y[1] (numeric) = 1.009004777582433 absolute error = 3.996802888650564e-15 relative error = 3.961133760165985e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.6999999999999 y[1] (closed_form) = 1.009095277101697 y[1] (numeric) = 1.009095277101693 absolute error = 4.218847493575595e-15 relative error = 4.180821761145175e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.689999999999896 y[1] (closed_form) = 1.009186686156246 y[1] (numeric) = 1.009186686156242 absolute error = 3.996802888650564e-15 relative error = 3.960419755311522e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.679999999999893 y[1] (closed_form) = 1.009279013887066 y[1] (numeric) = 1.009279013887062 absolute error = 4.218847493575595e-15 relative error = 4.180060652730135e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.66999999999989 y[1] (closed_form) = 1.009372269527007 y[1] (numeric) = 1.009372269527003 absolute error = 3.996802888650564e-15 relative error = 3.959691591808312e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.659999999999886 y[1] (closed_form) = 1.009466462401711 y[1] (numeric) = 1.009466462401707 absolute error = 4.218847493575595e-15 relative error = 4.179284454421755e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.649999999999883 y[1] (closed_form) = 1.009561601930545 y[1] (numeric) = 1.00956160193054 absolute error = 4.440892098500626e-15 relative error = 4.398832215893002e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.63999999999988 y[1] (closed_form) = 1.009657697627539 y[1] (numeric) = 1.009657697627535 absolute error = 4.218847493575595e-15 relative error = 4.178492872870585e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.629999999999876 y[1] (closed_form) = 1.009754759102344 y[1] (numeric) = 1.009754759102339 absolute error = 4.662936703425657e-15 relative error = 4.617890296026863e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.619999999999873 y[1] (closed_form) = 1.009852796061188 y[1] (numeric) = 1.009852796061184 absolute error = 4.440892098500626e-15 relative error = 4.397563799220838e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.60999999999987 y[1] (closed_form) = 1.00995181830785 y[1] (numeric) = 1.009951818307845 absolute error = 4.662936703425657e-15 relative error = 4.616989265129793e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.599999999999866 y[1] (closed_form) = 1.010051835744635 y[1] (numeric) = 1.01005183574463 absolute error = 4.884981308350689e-15 relative error = 4.836366942246445e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.589999999999863 y[1] (closed_form) = 1.010152858373371 y[1] (numeric) = 1.010152858373366 absolute error = 5.10702591327572e-15 relative error = 5.055696146323301e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.57999999999986 y[1] (closed_form) = 1.010254896296406 y[1] (numeric) = 1.010254896296401 absolute error = 4.884981308350689e-15 relative error = 4.835394835757818e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.569999999999856 y[1] (closed_form) = 1.010357959717615 y[1] (numeric) = 1.01035795971761 absolute error = 4.884981308350689e-15 relative error = 4.834901592417792e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.559999999999853 y[1] (closed_form) = 1.010462058943428 y[1] (numeric) = 1.010462058943423 absolute error = 4.884981308350689e-15 relative error = 4.83440349403973e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.54999999999985 y[1] (closed_form) = 1.010567204383854 y[1] (numeric) = 1.010567204383849 absolute error = 5.551115123125783e-15 relative error = 5.49306874302369e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.539999999999846 y[1] (closed_form) = 1.010673406553525 y[1] (numeric) = 1.010673406553519 absolute error = 5.551115123125783e-15 relative error = 5.492491528055062e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.529999999999843 y[1] (closed_form) = 1.010780676072745 y[1] (numeric) = 1.010780676072739 absolute error = 5.551115123125783e-15 relative error = 5.491908635109557e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.51999999999984 y[1] (closed_form) = 1.010889023668556 y[1] (numeric) = 1.01088902366855 absolute error = 5.773159728050814e-15 relative error = 5.710972809952757e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.509999999999836 y[1] (closed_form) = 1.010998460175809 y[1] (numeric) = 1.010998460175803 absolute error = 5.773159728050814e-15 relative error = 5.710354620171117e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.499999999999833 y[1] (closed_form) = 1.011108996538244 y[1] (numeric) = 1.011108996538238 absolute error = 5.995204332975845e-15 relative error = 5.929335366910744e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.48999999999983 y[1] (closed_form) = 1.011220643809591 y[1] (numeric) = 1.011220643809585 absolute error = 5.995204332975845e-15 relative error = 5.928680718374179e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.479999999999826 y[1] (closed_form) = 1.011333413154669 y[1] (numeric) = 1.011333413154663 absolute error = 6.217248937900877e-15 relative error = 6.147575920098701e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.469999999999823 y[1] (closed_form) = 1.011447315850508 y[1] (numeric) = 1.011447315850501 absolute error = 6.439293542825908e-15 relative error = 6.366415177454124e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.45999999999982 y[1] (closed_form) = 1.011562363287471 y[1] (numeric) = 1.011562363287464 absolute error = 6.439293542825908e-15 relative error = 6.365691109640423e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.449999999999816 y[1] (closed_form) = 1.011678566970398 y[1] (numeric) = 1.011678566970391 absolute error = 6.439293542825908e-15 relative error = 6.364959931996193e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.439999999999813 y[1] (closed_form) = 1.011795938519754 y[1] (numeric) = 1.011795938519747 absolute error = 6.217248937900877e-15 relative error = 6.144765659957722e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.42999999999981 y[1] (closed_form) = 1.011914489672792 y[1] (numeric) = 1.011914489672785 absolute error = 6.439293542825908e-15 relative error = 6.36347597405003e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.419999999999806 y[1] (closed_form) = 1.012034232284726 y[1] (numeric) = 1.01203423228472 absolute error = 6.439293542825908e-15 relative error = 6.3627230556113e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.409999999999803 y[1] (closed_form) = 1.012155178329917 y[1] (numeric) = 1.01215517832991 absolute error = 7.105427357601002e-15 relative error = 7.020096828754207e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.3999999999998 y[1] (closed_form) = 1.012277339903071 y[1] (numeric) = 1.012277339903064 absolute error = 7.105427357601002e-15 relative error = 7.019249643858838e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.389999999999796 y[1] (closed_form) = 1.012400729220446 y[1] (numeric) = 1.012400729220439 absolute error = 7.105427357601002e-15 relative error = 7.018394152157732e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.379999999999793 y[1] (closed_form) = 1.012525358621077 y[1] (numeric) = 1.01252535862107 absolute error = 7.105427357601002e-15 relative error = 7.017530274281363e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.36999999999979 y[1] (closed_form) = 1.012651240568008 y[1] (numeric) = 1.012651240568001 absolute error = 7.327471962526033e-15 relative error = 7.235928490460317e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.359999999999786 y[1] (closed_form) = 1.012778387649538 y[1] (numeric) = 1.012778387649531 absolute error = 7.771561172376096e-15 relative error = 7.673506136334897e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.349999999999783 y[1] (closed_form) = 1.012906812580483 y[1] (numeric) = 1.012906812580475 absolute error = 7.993605777301127e-15 relative error = 7.891748459008393e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.33999999999978 y[1] (closed_form) = 1.013036528203441 y[1] (numeric) = 1.013036528203433 absolute error = 7.771561172376096e-15 relative error = 7.671550784213569e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.329999999999776 y[1] (closed_form) = 1.013167547490083 y[1] (numeric) = 1.013167547490075 absolute error = 7.771561172376096e-15 relative error = 7.670558726075034e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.319999999999773 y[1] (closed_form) = 1.013299883542447 y[1] (numeric) = 1.013299883542439 absolute error = 7.549516567451064e-15 relative error = 7.450426759212016e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.30999999999977 y[1] (closed_form) = 1.013433549594248 y[1] (numeric) = 1.013433549594241 absolute error = 7.771561172376096e-15 relative error = 7.66854538759608e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.299999999999766 y[1] (closed_form) = 1.013568559012204 y[1] (numeric) = 1.013568559012196 absolute error = 7.993605777301127e-15 relative error = 7.886596033613626e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.289999999999763 y[1] (closed_form) = 1.013704925297368 y[1] (numeric) = 1.01370492529736 absolute error = 7.993605777301127e-15 relative error = 7.88553510772005e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.27999999999976 y[1] (closed_form) = 1.013842662086483 y[1] (numeric) = 1.013842662086474 absolute error = 8.43769498715119e-15 relative error = 8.322489576229173e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.269999999999756 y[1] (closed_form) = 1.013981783153342 y[1] (numeric) = 1.013981783153333 absolute error = 8.43769498715119e-15 relative error = 8.321347707955006e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.259999999999753 y[1] (closed_form) = 1.014122302410168 y[1] (numeric) = 1.014122302410159 absolute error = 8.43769498715119e-15 relative error = 8.320194681744132e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.24999999999975 y[1] (closed_form) = 1.014264233909003 y[1] (numeric) = 1.014264233908995 absolute error = 8.215650382226158e-15 relative error = 8.100108539332803e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.239999999999746 y[1] (closed_form) = 1.014407591843116 y[1] (numeric) = 1.014407591843108 absolute error = 8.215650382226158e-15 relative error = 8.098963817195837e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.229999999999743 y[1] (closed_form) = 1.01455239054842 y[1] (numeric) = 1.014552390548411 absolute error = 8.659739592076221e-15 relative error = 8.535527265768077e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.21999999999974 y[1] (closed_form) = 1.014698644504906 y[1] (numeric) = 1.014698644504897 absolute error = 8.659739592076221e-15 relative error = 8.534296994455437e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.209999999999736 y[1] (closed_form) = 1.014846368338091 y[1] (numeric) = 1.014846368338082 absolute error = 8.43769498715119e-15 relative error = 8.31425844383592e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.199999999999733 y[1] (closed_form) = 1.014995576820482 y[1] (numeric) = 1.014995576820473 absolute error = 8.43769498715119e-15 relative error = 8.313036213992815e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.189999999999729 y[1] (closed_form) = 1.015146284873051 y[1] (numeric) = 1.015146284873043 absolute error = 8.43769498715119e-15 relative error = 8.311802065262313e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.179999999999726 y[1] (closed_form) = 1.01529850756673 y[1] (numeric) = 1.015298507566721 absolute error = 8.43769498715119e-15 relative error = 8.31055588505987e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.169999999999723 y[1] (closed_form) = 1.015452260123914 y[1] (numeric) = 1.015452260123905 absolute error = 8.659739592076221e-15 relative error = 8.527963285068162e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.159999999999719 y[1] (closed_form) = 1.015607557919987 y[1] (numeric) = 1.015607557919979 absolute error = 8.659739592076221e-15 relative error = 8.526659263753198e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.149999999999716 y[1] (closed_form) = 1.015764416484859 y[1] (numeric) = 1.015764416484851 absolute error = 8.215650382226158e-15 relative error = 8.088145488160661e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.139999999999713 y[1] (closed_form) = 1.015922851504516 y[1] (numeric) = 1.015922851504508 absolute error = 8.43769498715119e-15 relative error = 8.305448563004078e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.129999999999709 y[1] (closed_form) = 1.016082878822593 y[1] (numeric) = 1.016082878822585 absolute error = 8.43769498715119e-15 relative error = 8.304140501735983e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.119999999999706 y[1] (closed_form) = 1.016244514441955 y[1] (numeric) = 1.016244514441946 absolute error = 8.659739592076221e-15 relative error = 8.521314968013875e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.109999999999703 y[1] (closed_form) = 1.016407774526298 y[1] (numeric) = 1.016407774526289 absolute error = 8.881784197001252e-15 relative error = 8.738406395150466e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.099999999999699 y[1] (closed_form) = 1.016572675401766 y[1] (numeric) = 1.016572675401757 absolute error = 8.881784197001252e-15 relative error = 8.736988915712322e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.089999999999696 y[1] (closed_form) = 1.016739233558586 y[1] (numeric) = 1.016739233558577 absolute error = 8.43769498715119e-15 relative error = 8.298779774258609e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.079999999999693 y[1] (closed_form) = 1.01690746565271 y[1] (numeric) = 1.016907465652702 absolute error = 8.659739592076221e-15 relative error = 8.515759677816798e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.069999999999689 y[1] (closed_form) = 1.01707738850749 y[1] (numeric) = 1.017077388507482 absolute error = 8.659739592076221e-15 relative error = 8.514336952062175e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.059999999999686 y[1] (closed_form) = 1.017249019115352 y[1] (numeric) = 1.017249019115343 absolute error = 8.659739592076221e-15 relative error = 8.512900410174044e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.049999999999683 y[1] (closed_form) = 1.017422374639499 y[1] (numeric) = 1.01742237463949 absolute error = 8.659739592076221e-15 relative error = 8.511449922795936e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.039999999999679 y[1] (closed_form) = 1.017597472415629 y[1] (numeric) = 1.01759747241562 absolute error = 9.103828801926284e-15 relative error = 8.946394865068907e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.029999999999676 y[1] (closed_form) = 1.017774329953665 y[1] (numeric) = 1.017774329953656 absolute error = 9.103828801926284e-15 relative error = 8.944840259766368e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.019999999999673 y[1] (closed_form) = 1.017952964939509 y[1] (numeric) = 1.0179529649395 absolute error = 9.103828801926284e-15 relative error = 8.943270578780891e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.009999999999669 y[1] (closed_form) = 1.018133395236807 y[1] (numeric) = 1.018133395236798 absolute error = 8.881784197001252e-15 relative error = 8.723595786714612e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.999999999999666 y[1] (closed_form) = 1.01831563888874 y[1] (numeric) = 1.018315638888731 absolute error = 9.103828801926284e-15 relative error = 8.940085425635848e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.989999999999668 y[1] (closed_form) = 1.018499714119825 y[1] (numeric) = 1.018499714119817 absolute error = 8.659739592076221e-15 relative error = 8.502446757739014e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.979999999999669 y[1] (closed_form) = 1.018685639337739 y[1] (numeric) = 1.01868563933773 absolute error = 8.881784197001252e-15 relative error = 8.718866600274661e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.96999999999967 y[1] (closed_form) = 1.018873433135158 y[1] (numeric) = 1.018873433135149 absolute error = 8.659739592076221e-15 relative error = 8.499328091644796e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.959999999999671 y[1] (closed_form) = 1.019063114291618 y[1] (numeric) = 1.019063114291609 absolute error = 9.103828801926284e-15 relative error = 8.933527937820254e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.949999999999672 y[1] (closed_form) = 1.019254701775393 y[1] (numeric) = 1.019254701775384 absolute error = 8.881784197001252e-15 relative error = 8.713998749802652e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.939999999999673 y[1] (closed_form) = 1.019448214745392 y[1] (numeric) = 1.019448214745383 absolute error = 8.881784197001252e-15 relative error = 8.712344647363463e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.929999999999674 y[1] (closed_form) = 1.019643672553072 y[1] (numeric) = 1.019643672553063 absolute error = 8.881784197001252e-15 relative error = 8.710674558262373e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.919999999999675 y[1] (closed_form) = 1.019841094744377 y[1] (numeric) = 1.019841094744368 absolute error = 8.881784197001252e-15 relative error = 8.708988334332097e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.909999999999676 y[1] (closed_form) = 1.02004050106169 y[1] (numeric) = 1.020040501061682 absolute error = 8.881784197001252e-15 relative error = 8.707285826157697e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.899999999999678 y[1] (closed_form) = 1.020241911445811 y[1] (numeric) = 1.020241911445802 absolute error = 9.103828801926284e-15 relative error = 8.923206055145307e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.889999999999679 y[1] (closed_form) = 1.020445346037944 y[1] (numeric) = 1.020445346037935 absolute error = 8.881784197001252e-15 relative error = 8.70383135313059e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.87999999999968 y[1] (closed_form) = 1.020650825181719 y[1] (numeric) = 1.02065082518171 absolute error = 8.881784197001252e-15 relative error = 8.702079083137876e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.869999999999681 y[1] (closed_form) = 1.020858369425221 y[1] (numeric) = 1.020858369425212 absolute error = 8.881784197001252e-15 relative error = 8.700309918605071e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.859999999999682 y[1] (closed_form) = 1.021067999523048 y[1] (numeric) = 1.021067999523039 absolute error = 8.659739592076221e-15 relative error = 8.48106061116525e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.849999999999683 y[1] (closed_form) = 1.021279736438384 y[1] (numeric) = 1.021279736438375 absolute error = 9.325873406851315e-15 relative error = 9.131556295608502e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.839999999999684 y[1] (closed_form) = 1.021493601345097 y[1] (numeric) = 1.021493601345087 absolute error = 9.547918011776346e-15 relative error = 9.347016955567517e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.829999999999685 y[1] (closed_form) = 1.021709615629856 y[1] (numeric) = 1.021709615629846 absolute error = 9.769962616701378e-15 relative error = 9.562367298147105e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.819999999999686 y[1] (closed_form) = 1.021927800894268 y[1] (numeric) = 1.021927800894258 absolute error = 9.992007221626409e-15 relative error = 9.777605827811519e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.809999999999687 y[1] (closed_form) = 1.022148178957044 y[1] (numeric) = 1.022148178957034 absolute error = 9.992007221626409e-15 relative error = 9.775497748107149e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.799999999999689 y[1] (closed_form) = 1.022370771856173 y[1] (numeric) = 1.022370771856163 absolute error = 9.769962616701378e-15 relative error = 9.556183417649404e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.78999999999969 y[1] (closed_form) = 1.022595601851129 y[1] (numeric) = 1.022595601851119 absolute error = 9.992007221626409e-15 relative error = 9.771220611098484e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.779999999999691 y[1] (closed_form) = 1.0228226914251 y[1] (numeric) = 1.02282269142509 absolute error = 1.021405182655144e-14 relative error = 9.986141207250879e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.769999999999692 y[1] (closed_form) = 1.023052063287233 y[1] (numeric) = 1.023052063287222 absolute error = 1.043609643147647e-14 relative error = 1.020094363325323e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.759999999999693 y[1] (closed_form) = 1.023283740374904 y[1] (numeric) = 1.023283740374893 absolute error = 1.088018564132653e-14 relative error = 1.06326185123789e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.749999999999694 y[1] (closed_form) = 1.023517745856016 y[1] (numeric) = 1.023517745856005 absolute error = 1.088018564132653e-14 relative error = 1.063018759115595e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.739999999999695 y[1] (closed_form) = 1.023754103131312 y[1] (numeric) = 1.023754103131301 absolute error = 1.110223024625157e-14 relative error = 1.084462588456901e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.729999999999696 y[1] (closed_form) = 1.023992835836717 y[1] (numeric) = 1.023992835836705 absolute error = 1.154631945610163e-14 relative error = 1.12757814820716e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.719999999999697 y[1] (closed_form) = 1.024233967845698 y[1] (numeric) = 1.024233967845687 absolute error = 1.13242748511766e-14 relative error = 1.105633596100633e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.709999999999698 y[1] (closed_form) = 1.02447752327166 y[1] (numeric) = 1.024477523271649 absolute error = 1.13242748511766e-14 relative error = 1.105370746935728e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.6999999999997 y[1] (closed_form) = 1.024723526470347 y[1] (numeric) = 1.024723526470336 absolute error = 1.110223024625157e-14 relative error = 1.083436649931628e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.689999999999701 y[1] (closed_form) = 1.024972002042284 y[1] (numeric) = 1.024972002042273 absolute error = 1.110223024625157e-14 relative error = 1.0831740012537e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.679999999999702 y[1] (closed_form) = 1.025222974835235 y[1] (numeric) = 1.025222974835224 absolute error = 1.13242748511766e-14 relative error = 1.10456701899375e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.669999999999703 y[1] (closed_form) = 1.025476469946689 y[1] (numeric) = 1.025476469946677 absolute error = 1.110223024625157e-14 relative error = 1.082641149906515e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.659999999999704 y[1] (closed_form) = 1.025732512726368 y[1] (numeric) = 1.025732512726356 absolute error = 1.154631945610163e-14 relative error = 1.125665737689433e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.649999999999705 y[1] (closed_form) = 1.025991128778763 y[1] (numeric) = 1.025991128778751 absolute error = 1.176836406102666e-14 relative error = 1.14702395868028e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.639999999999706 y[1] (closed_form) = 1.026252343965696 y[1] (numeric) = 1.026252343965684 absolute error = 1.154631945610163e-14 relative error = 1.125095550231219e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.629999999999707 y[1] (closed_form) = 1.026516184408902 y[1] (numeric) = 1.02651618440889 absolute error = 1.176836406102666e-14 relative error = 1.146437264192111e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.619999999999708 y[1] (closed_form) = 1.026782676492646 y[1] (numeric) = 1.026782676492634 absolute error = 1.176836406102666e-14 relative error = 1.146139716850876e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.609999999999709 y[1] (closed_form) = 1.027051846866358 y[1] (numeric) = 1.027051846866346 absolute error = 1.199040866595169e-14 relative error = 1.167458945966133e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.599999999999711 y[1] (closed_form) = 1.0273237224473 y[1] (numeric) = 1.027323722447288 absolute error = 1.199040866595169e-14 relative error = 1.167149984367929e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.589999999999712 y[1] (closed_form) = 1.027598330423257 y[1] (numeric) = 1.027598330423245 absolute error = 1.199040866595169e-14 relative error = 1.166838083613172e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.579999999999713 y[1] (closed_form) = 1.027875698255255 y[1] (numeric) = 1.027875698255243 absolute error = 1.199040866595169e-14 relative error = 1.166523217379742e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.569999999999714 y[1] (closed_form) = 1.028155853680308 y[1] (numeric) = 1.028155853680296 absolute error = 1.199040866595169e-14 relative error = 1.166205359141976e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.559999999999715 y[1] (closed_form) = 1.028438824714193 y[1] (numeric) = 1.02843882471418 absolute error = 1.221245327087672e-14 relative error = 1.18747493554326e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.549999999999716 y[1] (closed_form) = 1.028724639654248 y[1] (numeric) = 1.028724639654235 absolute error = 1.221245327087672e-14 relative error = 1.187145014333603e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.539999999999717 y[1] (closed_form) = 1.029013327082205 y[1] (numeric) = 1.029013327082193 absolute error = 1.221245327087672e-14 relative error = 1.186811963408235e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.529999999999718 y[1] (closed_form) = 1.029304915867049 y[1] (numeric) = 1.029304915867037 absolute error = 1.221245327087672e-14 relative error = 1.186475754911691e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.519999999999719 y[1] (closed_form) = 1.0295994351679 y[1] (numeric) = 1.029599435167889 absolute error = 1.176836406102666e-14 relative error = 1.14300412947561e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.50999999999972 y[1] (closed_form) = 1.029896914436935 y[1] (numeric) = 1.029896914436923 absolute error = 1.199040866595169e-14 relative error = 1.164233866309531e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.499999999999722 y[1] (closed_form) = 1.030197383422327 y[1] (numeric) = 1.030197383422315 absolute error = 1.221245327087672e-14 relative error = 1.185447902256053e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.489999999999723 y[1] (closed_form) = 1.030500872171226 y[1] (numeric) = 1.030500872171214 absolute error = 1.199040866595169e-14 relative error = 1.16355153011063e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.479999999999724 y[1] (closed_form) = 1.03080741103276 y[1] (numeric) = 1.030807411032747 absolute error = 1.221245327087672e-14 relative error = 1.184746359035306e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.469999999999725 y[1] (closed_form) = 1.03111703066107 y[1] (numeric) = 1.031117030661057 absolute error = 1.221245327087672e-14 relative error = 1.184390608217098e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.459999999999726 y[1] (closed_form) = 1.031429762018376 y[1] (numeric) = 1.031429762018364 absolute error = 1.243449787580175e-14 relative error = 1.205559344290108e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.449999999999727 y[1] (closed_form) = 1.031745636378077 y[1] (numeric) = 1.031745636378064 absolute error = 1.221245327087672e-14 relative error = 1.183669001377927e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.439999999999728 y[1] (closed_form) = 1.032064685327869 y[1] (numeric) = 1.032064685327857 absolute error = 1.243449787580175e-14 relative error = 1.204817687551389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.429999999999729 y[1] (closed_form) = 1.032386940772916 y[1] (numeric) = 1.032386940772903 absolute error = 1.243449787580175e-14 relative error = 1.204441608539956e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.41999999999973 y[1] (closed_form) = 1.032712434939029 y[1] (numeric) = 1.032712434939016 absolute error = 1.243449787580175e-14 relative error = 1.204061988130886e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.409999999999731 y[1] (closed_form) = 1.033041200375896 y[1] (numeric) = 1.033041200375883 absolute error = 1.265654248072678e-14 relative error = 1.225173059517995e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.399999999999733 y[1] (closed_form) = 1.033373269960335 y[1] (numeric) = 1.033373269960322 absolute error = 1.310063169057685e-14 relative error = 1.267754070228631e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.389999999999734 y[1] (closed_form) = 1.033708676899581 y[1] (numeric) = 1.033708676899568 absolute error = 1.310063169057685e-14 relative error = 1.267342722697247e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.379999999999735 y[1] (closed_form) = 1.034047454734608 y[1] (numeric) = 1.034047454734595 absolute error = 1.310063169057685e-14 relative error = 1.266927511942783e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.369999999999736 y[1] (closed_form) = 1.034389637343482 y[1] (numeric) = 1.034389637343469 absolute error = 1.310063169057685e-14 relative error = 1.266508404339962e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.359999999999737 y[1] (closed_form) = 1.034735258944748 y[1] (numeric) = 1.034735258944735 absolute error = 1.310063169057685e-14 relative error = 1.26608536602273e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.349999999999738 y[1] (closed_form) = 1.035084354100854 y[1] (numeric) = 1.035084354100841 absolute error = 1.310063169057685e-14 relative error = 1.26565836288357e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.339999999999739 y[1] (closed_form) = 1.035436957721608 y[1] (numeric) = 1.035436957721595 absolute error = 1.287858708565182e-14 relative error = 1.24378282903771e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.32999999999974 y[1] (closed_form) = 1.035793105067665 y[1] (numeric) = 1.035793105067652 absolute error = 1.265654248072678e-14 relative error = 1.221918008413464e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.319999999999741 y[1] (closed_form) = 1.036152831754056 y[1] (numeric) = 1.036152831754043 absolute error = 1.287858708565182e-14 relative error = 1.242923504233467e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.309999999999742 y[1] (closed_form) = 1.03651617375375 y[1] (numeric) = 1.036516173753737 absolute error = 1.310063169057685e-14 relative error = 1.263910011469751e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.299999999999744 y[1] (closed_form) = 1.03688316740125 y[1] (numeric) = 1.036883167401236 absolute error = 1.310063169057685e-14 relative error = 1.263462664112013e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.289999999999745 y[1] (closed_form) = 1.037253849396225 y[1] (numeric) = 1.037253849396212 absolute error = 1.310063169057685e-14 relative error = 1.263011142181115e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.279999999999746 y[1] (closed_form) = 1.037628256807186 y[1] (numeric) = 1.037628256807173 absolute error = 1.287858708565182e-14 relative error = 1.241156165627142e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.269999999999747 y[1] (closed_form) = 1.038006427075184 y[1] (numeric) = 1.038006427075171 absolute error = 1.243449787580175e-14 relative error = 1.197921087139965e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.259999999999748 y[1] (closed_form) = 1.038388398017562 y[1] (numeric) = 1.038388398017549 absolute error = 1.243449787580175e-14 relative error = 1.197480432133204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.249999999999749 y[1] (closed_form) = 1.038774207831732 y[1] (numeric) = 1.038774207831719 absolute error = 1.243449787580175e-14 relative error = 1.197035677441077e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.23999999999975 y[1] (closed_form) = 1.039163895098997 y[1] (numeric) = 1.039163895098985 absolute error = 1.221245327087672e-14 relative error = 1.175219166916234e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.229999999999751 y[1] (closed_form) = 1.039557498788409 y[1] (numeric) = 1.039557498788396 absolute error = 1.221245327087672e-14 relative error = 1.174774198167026e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.219999999999752 y[1] (closed_form) = 1.039955058260664 y[1] (numeric) = 1.039955058260652 absolute error = 1.221245327087672e-14 relative error = 1.174325099327098e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.209999999999753 y[1] (closed_form) = 1.040356613272041 y[1] (numeric) = 1.040356613272029 absolute error = 1.221245327087672e-14 relative error = 1.173871835395668e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.199999999999755 y[1] (closed_form) = 1.040762203978376 y[1] (numeric) = 1.040762203978364 absolute error = 1.221245327087672e-14 relative error = 1.173414371140101e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.189999999999756 y[1] (closed_form) = 1.041171870939078 y[1] (numeric) = 1.041171870939066 absolute error = 1.221245327087672e-14 relative error = 1.172952671095674e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.179999999999757 y[1] (closed_form) = 1.041585655121183 y[1] (numeric) = 1.041585655121171 absolute error = 1.221245327087672e-14 relative error = 1.172486699565372e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.169999999999758 y[1] (closed_form) = 1.042003597903456 y[1] (numeric) = 1.042003597903443 absolute error = 1.243449787580175e-14 relative error = 1.193325810085527e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.159999999999759 y[1] (closed_form) = 1.042425741080522 y[1] (numeric) = 1.042425741080509 absolute error = 1.243449787580175e-14 relative error = 1.192842558062009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.14999999999976 y[1] (closed_form) = 1.042852126867051 y[1] (numeric) = 1.042852126867038 absolute error = 1.243449787580175e-14 relative error = 1.192354846430397e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.139999999999761 y[1] (closed_form) = 1.043282797901976 y[1] (numeric) = 1.043282797901964 absolute error = 1.221245327087672e-14 relative error = 1.170579376506136e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.129999999999762 y[1] (closed_form) = 1.043717797252761 y[1] (numeric) = 1.043717797252749 absolute error = 1.199040866595169e-14 relative error = 1.14881711296985e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.119999999999763 y[1] (closed_form) = 1.044157168419703 y[1] (numeric) = 1.044157168419691 absolute error = 1.243449787580175e-14 relative error = 1.190864579766372e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.109999999999765 y[1] (closed_form) = 1.044600955340285 y[1] (numeric) = 1.044600955340273 absolute error = 1.221245327087672e-14 relative error = 1.16910224985372e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.099999999999766 y[1] (closed_form) = 1.045049202393568 y[1] (numeric) = 1.045049202393556 absolute error = 1.199040866595169e-14 relative error = 1.147353506274058e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.089999999999767 y[1] (closed_form) = 1.045501954404632 y[1] (numeric) = 1.04550195440462 absolute error = 1.176836406102666e-14 relative error = 1.12561856163418e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.079999999999768 y[1] (closed_form) = 1.045959256649055 y[1] (numeric) = 1.045959256649043 absolute error = 1.199040866595169e-14 relative error = 1.146355232264536e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.069999999999769 y[1] (closed_form) = 1.046421154857442 y[1] (numeric) = 1.04642115485743 absolute error = 1.199040866595169e-14 relative error = 1.14584922239891e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.05999999999977 y[1] (closed_form) = 1.046887695219999 y[1] (numeric) = 1.046887695219987 absolute error = 1.221245327087672e-14 relative error = 1.166548554027118e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.049999999999771 y[1] (closed_form) = 1.047358924391152 y[1] (numeric) = 1.047358924391139 absolute error = 1.265654248072678e-14 relative error = 1.208424560671429e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.039999999999772 y[1] (closed_form) = 1.047834889494209 y[1] (numeric) = 1.047834889494196 absolute error = 1.287858708565182e-14 relative error = 1.229066450714227e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.029999999999773 y[1] (closed_form) = 1.048315638126079 y[1] (numeric) = 1.048315638126065 absolute error = 1.332267629550188e-14 relative error = 1.270864977204469e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.019999999999774 y[1] (closed_form) = 1.048801218362024 y[1] (numeric) = 1.048801218362011 absolute error = 1.332267629550188e-14 relative error = 1.270276584566588e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.009999999999776 y[1] (closed_form) = 1.049291678760473 y[1] (numeric) = 1.04929167876046 absolute error = 1.332267629550188e-14 relative error = 1.269682831301963e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.999999999999777 y[1] (closed_form) = 1.049787068367875 y[1] (numeric) = 1.049787068367862 absolute error = 1.354472090042691e-14 relative error = 1.290235068477759e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.989999999999778 y[1] (closed_form) = 1.050287436723603 y[1] (numeric) = 1.05028743672359 absolute error = 1.332267629550188e-14 relative error = 1.268479068650225e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.979999999999779 y[1] (closed_form) = 1.05079283386491 y[1] (numeric) = 1.050792833864896 absolute error = 1.332267629550188e-14 relative error = 1.267868971517429e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.96999999999978 y[1] (closed_form) = 1.05130331033193 y[1] (numeric) = 1.051303310331917 absolute error = 1.332267629550188e-14 relative error = 1.267253338267857e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.959999999999781 y[1] (closed_form) = 1.051818917172737 y[1] (numeric) = 1.051818917172724 absolute error = 1.354472090042691e-14 relative error = 1.28774265981399e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.949999999999782 y[1] (closed_form) = 1.052339705948444 y[1] (numeric) = 1.05233970594843 absolute error = 1.354472090042691e-14 relative error = 1.287105373280526e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.939999999999783 y[1] (closed_form) = 1.052865728738362 y[1] (numeric) = 1.052865728738348 absolute error = 1.332267629550188e-14 relative error = 1.265372775640281e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.929999999999784 y[1] (closed_form) = 1.053397038145209 y[1] (numeric) = 1.053397038145195 absolute error = 1.332267629550188e-14 relative error = 1.264734550512888e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.919999999999785 y[1] (closed_form) = 1.053933687300368 y[1] (numeric) = 1.053933687300354 absolute error = 1.332267629550188e-14 relative error = 1.26409056433405e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.909999999999787 y[1] (closed_form) = 1.054475729869202 y[1] (numeric) = 1.054475729869188 absolute error = 1.354472090042691e-14 relative error = 1.284498117572323e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.899999999999788 y[1] (closed_form) = 1.055023220056419 y[1] (numeric) = 1.055023220056405 absolute error = 1.354472090042691e-14 relative error = 1.283831544456679e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.889999999999789 y[1] (closed_form) = 1.055576212611495 y[1] (numeric) = 1.055576212611481 absolute error = 1.354472090042691e-14 relative error = 1.283158974084617e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.87999999999979 y[1] (closed_form) = 1.056134762834146 y[1] (numeric) = 1.056134762834132 absolute error = 1.354472090042691e-14 relative error = 1.282480359237447e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.869999999999791 y[1] (closed_form) = 1.056698926579859 y[1] (numeric) = 1.056698926579845 absolute error = 1.332267629550188e-14 relative error = 1.260782608970979e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.859999999999792 y[1] (closed_form) = 1.057268760265479 y[1] (numeric) = 1.057268760265466 absolute error = 1.354472090042691e-14 relative error = 1.28110480603114e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.849999999999793 y[1] (closed_form) = 1.05784432087485 y[1] (numeric) = 1.057844320874837 absolute error = 1.354472090042691e-14 relative error = 1.280407772026914e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.839999999999794 y[1] (closed_form) = 1.058425665964513 y[1] (numeric) = 1.058425665964499 absolute error = 1.376676550535194e-14 relative error = 1.300683264592482e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.829999999999795 y[1] (closed_form) = 1.05901285366946 y[1] (numeric) = 1.059012853669446 absolute error = 1.376676550535194e-14 relative error = 1.299962078614094e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.819999999999796 y[1] (closed_form) = 1.059605942708951 y[1] (numeric) = 1.059605942708937 absolute error = 1.398881011027697e-14 relative error = 1.320189850437576e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.809999999999798 y[1] (closed_form) = 1.060204992392386 y[1] (numeric) = 1.060204992392371 absolute error = 1.443289932012704e-14 relative error = 1.36133100897391e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.799999999999799 y[1] (closed_form) = 1.06081006262523 y[1] (numeric) = 1.060810062625215 absolute error = 1.465494392505207e-14 relative error = 1.381486134170416e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.7899999999998 y[1] (closed_form) = 1.061421213915013 y[1] (numeric) = 1.061421213914998 absolute error = 1.465494392505207e-14 relative error = 1.380690694036334e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.779999999999801 y[1] (closed_form) = 1.062038507377371 y[1] (numeric) = 1.062038507377356 absolute error = 1.465494392505207e-14 relative error = 1.379888188917125e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.769999999999802 y[1] (closed_form) = 1.062662004742166 y[1] (numeric) = 1.062662004742151 absolute error = 1.443289932012704e-14 relative error = 1.358183435158096e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.759999999999803 y[1] (closed_form) = 1.063291768359653 y[1] (numeric) = 1.063291768359639 absolute error = 1.443289932012704e-14 relative error = 1.357379013889363e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.749999999999804 y[1] (closed_form) = 1.06392786120672 y[1] (numeric) = 1.063927861206706 absolute error = 1.443289932012704e-14 relative error = 1.356567474768173e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.739999999999805 y[1] (closed_form) = 1.064570346893181 y[1] (numeric) = 1.064570346893166 absolute error = 1.465494392505207e-14 relative error = 1.376606437312549e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.729999999999806 y[1] (closed_form) = 1.06521928966814 y[1] (numeric) = 1.065219289668125 absolute error = 1.465494392505207e-14 relative error = 1.375767794218005e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.719999999999807 y[1] (closed_form) = 1.065874754426416 y[1] (numeric) = 1.065874754426401 absolute error = 1.465494392505207e-14 relative error = 1.374921759258517e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.709999999999809 y[1] (closed_form) = 1.06653680671503 y[1] (numeric) = 1.066536806715015 absolute error = 1.465494392505207e-14 relative error = 1.374068277136145e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.69999999999981 y[1] (closed_form) = 1.067205512739763 y[1] (numeric) = 1.067205512739748 absolute error = 1.48769885299771e-14 relative error = 1.394013463422283e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.689999999999811 y[1] (closed_form) = 1.067880939371774 y[1] (numeric) = 1.067880939371759 absolute error = 1.48769885299771e-14 relative error = 1.393131760431e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.679999999999812 y[1] (closed_form) = 1.068563154154291 y[1] (numeric) = 1.068563154154276 absolute error = 1.48769885299771e-14 relative error = 1.392242327665829e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.669999999999813 y[1] (closed_form) = 1.069252225309359 y[1] (numeric) = 1.069252225309344 absolute error = 1.48769885299771e-14 relative error = 1.391345108089239e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.659999999999814 y[1] (closed_form) = 1.069948221744668 y[1] (numeric) = 1.069948221744654 absolute error = 1.465494392505207e-14 relative error = 1.369687207961855e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.649999999999815 y[1] (closed_form) = 1.070651213060443 y[1] (numeric) = 1.070651213060428 absolute error = 1.48769885299771e-14 relative error = 1.389527079267152e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.639999999999816 y[1] (closed_form) = 1.071361269556399 y[1] (numeric) = 1.071361269556384 absolute error = 1.48769885299771e-14 relative error = 1.3886061548722e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.629999999999817 y[1] (closed_form) = 1.072078462238779 y[1] (numeric) = 1.072078462238765 absolute error = 1.465494392505207e-14 relative error = 1.366965613174312e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.619999999999818 y[1] (closed_form) = 1.072802862827449 y[1] (numeric) = 1.072802862827434 absolute error = 1.465494392505207e-14 relative error = 1.366042581805562e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.60999999999982 y[1] (closed_form) = 1.07353454376307 y[1] (numeric) = 1.073534543763056 absolute error = 1.443289932012704e-14 relative error = 1.344428030190371e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.599999999999821 y[1] (closed_form) = 1.074273578214347 y[1] (numeric) = 1.074273578214333 absolute error = 1.4210854715202e-14 relative error = 1.322833866846397e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.589999999999822 y[1] (closed_form) = 1.07502004008534 y[1] (numeric) = 1.075020040085326 absolute error = 1.4210854715202e-14 relative error = 1.321915330441084e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.579999999999823 y[1] (closed_form) = 1.075774004022859 y[1] (numeric) = 1.075774004022845 absolute error = 1.443289932012704e-14 relative error = 1.341629307471196e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.569999999999824 y[1] (closed_form) = 1.076535545423925 y[1] (numeric) = 1.07653554542391 absolute error = 1.465494392505207e-14 relative error = 1.361306088530607e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.559999999999825 y[1] (closed_form) = 1.077304740443313 y[1] (numeric) = 1.077304740443298 absolute error = 1.48769885299771e-14 relative error = 1.380945239677975e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.549999999999826 y[1] (closed_form) = 1.078081666001167 y[1] (numeric) = 1.078081666001152 absolute error = 1.48769885299771e-14 relative error = 1.379950053798707e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.539999999999827 y[1] (closed_form) = 1.078866399790689 y[1] (numeric) = 1.078866399790674 absolute error = 1.509903313490213e-14 relative error = 1.399527609519724e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.529999999999828 y[1] (closed_form) = 1.079659020285912 y[1] (numeric) = 1.079659020285896 absolute error = 1.532107773982716e-14 relative error = 1.419066339645815e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.519999999999829 y[1] (closed_form) = 1.080459606749546 y[1] (numeric) = 1.080459606749531 absolute error = 1.532107773982716e-14 relative error = 1.418014856281308e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.509999999999831 y[1] (closed_form) = 1.081268239240905 y[1] (numeric) = 1.08126823924089 absolute error = 1.509903313490213e-14 relative error = 1.396418815140845e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.499999999999832 y[1] (closed_form) = 1.082084998623912 y[1] (numeric) = 1.082084998623898 absolute error = 1.48769885299771e-14 relative error = 1.374844725589595e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.489999999999833 y[1] (closed_form) = 1.082909966575186 y[1] (numeric) = 1.082909966575171 absolute error = 1.509903313490213e-14 relative error = 1.394301798020602e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.479999999999834 y[1] (closed_form) = 1.08374322559221 y[1] (numeric) = 1.083743225592194 absolute error = 1.554312234475219e-14 relative error = 1.434207105309348e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.469999999999835 y[1] (closed_form) = 1.084584859001579 y[1] (numeric) = 1.084584859001563 absolute error = 1.576516694967722e-14 relative error = 1.453566940275189e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.459999999999836 y[1] (closed_form) = 1.085434950967335 y[1] (numeric) = 1.08543495096732 absolute error = 1.576516694967722e-14 relative error = 1.452428534351816e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.449999999999837 y[1] (closed_form) = 1.086293586499385 y[1] (numeric) = 1.086293586499369 absolute error = 1.576516694967722e-14 relative error = 1.451280495955147e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.439999999999838 y[1] (closed_form) = 1.087160851461995 y[1] (numeric) = 1.08716085146198 absolute error = 1.576516694967722e-14 relative error = 1.450122760443084e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.429999999999839 y[1] (closed_form) = 1.088036832582387 y[1] (numeric) = 1.088036832582371 absolute error = 1.576516694967722e-14 relative error = 1.448955263054799e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.419999999999841 y[1] (closed_form) = 1.088921617459401 y[1] (numeric) = 1.088921617459385 absolute error = 1.576516694967722e-14 relative error = 1.44777793891717e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.409999999999842 y[1] (closed_form) = 1.089815294572262 y[1] (numeric) = 1.089815294572246 absolute error = 1.598721155460225e-14 relative error = 1.466965240277438e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.399999999999843 y[1] (closed_form) = 1.090717953289427 y[1] (numeric) = 1.090717953289411 absolute error = 1.554312234475219e-14 relative error = 1.425035894740403e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.389999999999844 y[1] (closed_form) = 1.091629683877519 y[1] (numeric) = 1.091629683877504 absolute error = 1.554312234475219e-14 relative error = 1.423845702834161e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.379999999999845 y[1] (closed_form) = 1.092550577510358 y[1] (numeric) = 1.092550577510342 absolute error = 1.532107773982716e-14 relative error = 1.402322057688163e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.369999999999846 y[1] (closed_form) = 1.093480726278073 y[1] (numeric) = 1.093480726278058 absolute error = 1.48769885299771e-14 relative error = 1.360516758316769e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.359999999999847 y[1] (closed_form) = 1.094420223196317 y[1] (numeric) = 1.094420223196302 absolute error = 1.509903313490213e-14 relative error = 1.379637621352111e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.349999999999848 y[1] (closed_form) = 1.095369162215564 y[1] (numeric) = 1.095369162215549 absolute error = 1.509903313490213e-14 relative error = 1.378442415191044e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.339999999999849 y[1] (closed_form) = 1.096327638230508 y[1] (numeric) = 1.096327638230492 absolute error = 1.554312234475219e-14 relative error = 1.417744276687129e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.32999999999985 y[1] (closed_form) = 1.097295747089547 y[1] (numeric) = 1.097295747089532 absolute error = 1.554312234475219e-14 relative error = 1.416493446363805e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.319999999999852 y[1] (closed_form) = 1.098273585604376 y[1] (numeric) = 1.09827358560436 absolute error = 1.598721155460225e-14 relative error = 1.455667491611805e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.309999999999853 y[1] (closed_form) = 1.09926125155966 y[1] (numeric) = 1.099261251559644 absolute error = 1.620925615952729e-14 relative error = 1.47455904013074e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.299999999999854 y[1] (closed_form) = 1.100258843722818 y[1] (numeric) = 1.100258843722802 absolute error = 1.643130076445232e-14 relative error = 1.493403198546955e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.289999999999855 y[1] (closed_form) = 1.101266461853898 y[1] (numeric) = 1.101266461853882 absolute error = 1.643130076445232e-14 relative error = 1.492036789787594e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.279999999999856 y[1] (closed_form) = 1.102284206715552 y[1] (numeric) = 1.102284206715536 absolute error = 1.665334536937735e-14 relative error = 1.510803227327269e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.269999999999857 y[1] (closed_form) = 1.103312180083115 y[1] (numeric) = 1.103312180083099 absolute error = 1.643130076445232e-14 relative error = 1.489270313612826e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.259999999999858 y[1] (closed_form) = 1.10435048475478 y[1] (numeric) = 1.104350484754763 absolute error = 1.643130076445232e-14 relative error = 1.487870109288798e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.249999999999859 y[1] (closed_form) = 1.105399224561879 y[1] (numeric) = 1.105399224561863 absolute error = 1.643130076445232e-14 relative error = 1.486458502896526e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.23999999999986 y[1] (closed_form) = 1.106458504379268 y[1] (numeric) = 1.106458504379251 absolute error = 1.643130076445232e-14 relative error = 1.485035426038902e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.229999999999861 y[1] (closed_form) = 1.10752843013581 y[1] (numeric) = 1.107528430135793 absolute error = 1.643130076445232e-14 relative error = 1.483600810359102e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.219999999999863 y[1] (closed_form) = 1.108609108824973 y[1] (numeric) = 1.108609108824957 absolute error = 1.643130076445232e-14 relative error = 1.482154587550524e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.209999999999864 y[1] (closed_form) = 1.109700648515526 y[1] (numeric) = 1.109700648515511 absolute error = 1.576516694967722e-14 relative error = 1.420668445203368e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.199999999999865 y[1] (closed_form) = 1.110803158362349 y[1] (numeric) = 1.110803158362333 absolute error = 1.554312234475219e-14 relative error = 1.399268828841587e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.189999999999866 y[1] (closed_form) = 1.111916748617344 y[1] (numeric) = 1.111916748617328 absolute error = 1.532107773982716e-14 relative error = 1.377897918965494e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.179999999999867 y[1] (closed_form) = 1.113041530640465 y[1] (numeric) = 1.11304153064045 absolute error = 1.509903313490213e-14 relative error = 1.356556131936413e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.169999999999868 y[1] (closed_form) = 1.114177616910851 y[1] (numeric) = 1.114177616910837 absolute error = 1.48769885299771e-14 relative error = 1.3352438878843e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.159999999999869 y[1] (closed_form) = 1.115325121038078 y[1] (numeric) = 1.115325121038063 absolute error = 1.509903313490213e-14 relative error = 1.353778629217e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.14999999999987 y[1] (closed_form) = 1.116484157773512 y[1] (numeric) = 1.116484157773497 absolute error = 1.48769885299771e-14 relative error = 1.332485412031705e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.139999999999871 y[1] (closed_form) = 1.117654843021794 y[1] (numeric) = 1.117654843021779 absolute error = 1.509903313490213e-14 relative error = 1.350956713441065e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.129999999999872 y[1] (closed_form) = 1.118837293852425 y[1] (numeric) = 1.118837293852409 absolute error = 1.532107773982716e-14 relative error = 1.369374959523652e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.119999999999874 y[1] (closed_form) = 1.120031628511472 y[1] (numeric) = 1.120031628511456 absolute error = 1.576516694967722e-14 relative error = 1.407564442678214e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.109999999999875 y[1] (closed_form) = 1.121237966433397 y[1] (numeric) = 1.121237966433381 absolute error = 1.576516694967722e-14 relative error = 1.406050046612803e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.099999999999876 y[1] (closed_form) = 1.122456428252997 y[1] (numeric) = 1.122456428252981 absolute error = 1.576516694967722e-14 relative error = 1.404523734984911e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.089999999999877 y[1] (closed_form) = 1.12368713581747 y[1] (numeric) = 1.123687135817454 absolute error = 1.554312234475219e-14 relative error = 1.383225085463379e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.079999999999878 y[1] (closed_form) = 1.124930212198598 y[1] (numeric) = 1.124930212198582 absolute error = 1.576516694967722e-14 relative error = 1.401435109371389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.069999999999879 y[1] (closed_form) = 1.126185781705054 y[1] (numeric) = 1.126185781705038 absolute error = 1.576516694967722e-14 relative error = 1.399872668060916e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.05999999999988 y[1] (closed_form) = 1.127453969894836 y[1] (numeric) = 1.12745396989482 absolute error = 1.576516694967722e-14 relative error = 1.398298056562587e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.049999999999881 y[1] (closed_form) = 1.12873490358782 y[1] (numeric) = 1.128734903587804 absolute error = 1.532107773982716e-14 relative error = 1.357367233982689e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.039999999999882 y[1] (closed_form) = 1.130028710878441 y[1] (numeric) = 1.130028710878426 absolute error = 1.532107773982716e-14 relative error = 1.355813139288925e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.029999999999883 y[1] (closed_form) = 1.131335521148508 y[1] (numeric) = 1.131335521148493 absolute error = 1.509903313490213e-14 relative error = 1.334620265398712e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.019999999999885 y[1] (closed_form) = 1.132655465080137 y[1] (numeric) = 1.132655465080122 absolute error = 1.532107773982716e-14 relative error = 1.352668857580904e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.009999999999886 y[1] (closed_form) = 1.13398867466882 y[1] (numeric) = 1.133988674668805 absolute error = 1.509903313490213e-14 relative error = 1.331497701183989e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.999999999999887 y[1] (closed_form) = 1.135335283236628 y[1] (numeric) = 1.135335283236613 absolute error = 1.48769885299771e-14 relative error = 1.310360802631413e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.989999999999888 y[1] (closed_form) = 1.136695425445539 y[1] (numeric) = 1.136695425445524 absolute error = 1.48769885299771e-14 relative error = 1.308792856639316e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.979999999999889 y[1] (closed_form) = 1.138069237310908 y[1] (numeric) = 1.138069237310893 absolute error = 1.465494392505207e-14 relative error = 1.287702315869601e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.96999999999989 y[1] (closed_form) = 1.139456856215066 y[1] (numeric) = 1.139456856215052 absolute error = 1.465494392505207e-14 relative error = 1.286134165161057e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.959999999999891 y[1] (closed_form) = 1.14085842092106 y[1] (numeric) = 1.140858420921046 absolute error = 1.465494392505207e-14 relative error = 1.28455412663918e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.949999999999892 y[1] (closed_form) = 1.142274071586529 y[1] (numeric) = 1.142274071586515 absolute error = 1.443289932012704e-14 relative error = 1.263523324142416e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.939999999999893 y[1] (closed_form) = 1.143703949777718 y[1] (numeric) = 1.143703949777704 absolute error = 1.4210854715202e-14 relative error = 1.242529128098571e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.929999999999894 y[1] (closed_form) = 1.145148198483639 y[1] (numeric) = 1.145148198483625 absolute error = 1.443289932012704e-14 relative error = 1.260352095845631e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.919999999999896 y[1] (closed_form) = 1.146606962130365 y[1] (numeric) = 1.146606962130351 absolute error = 1.398881011027697e-14 relative error = 1.220017893863659e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.909999999999897 y[1] (closed_form) = 1.148080386595478 y[1] (numeric) = 1.148080386595464 absolute error = 1.398881011027697e-14 relative error = 1.218452146174141e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.899999999999898 y[1] (closed_form) = 1.14956861922265 y[1] (numeric) = 1.149568619222636 absolute error = 1.398881011027697e-14 relative error = 1.216874736867499e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.889999999999899 y[1] (closed_form) = 1.151071808836386 y[1] (numeric) = 1.151071808836373 absolute error = 1.354472090042691e-14 relative error = 1.176705119215735e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.8799999999999 y[1] (closed_form) = 1.152590105756899 y[1] (numeric) = 1.152590105756886 absolute error = 1.354472090042691e-14 relative error = 1.175155055797757e-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) = 1.154123661815147 y[1] (numeric) = 1.154123661815133 absolute error = 1.332267629550188e-14 relative error = 1.154354315424801e-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) = 1.155672630368012 y[1] (numeric) = 1.155672630367999 absolute error = 1.310063169057685e-14 relative error = 1.133593661935654e-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) = 1.157237166313643 y[1] (numeric) = 1.15723716631363 absolute error = 1.310063169057685e-14 relative error = 1.132061091012888e-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) = 1.158817426106936 y[1] (numeric) = 1.158817426106922 absolute error = 1.354472090042691e-14 relative error = 1.16883993934494e-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) = 1.160413567775188 y[1] (numeric) = 1.160413567775175 absolute error = 1.310063169057685e-14 relative error = 1.128962298820251e-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) = 1.162025750933896 y[1] (numeric) = 1.162025750933883 absolute error = 1.310063169057685e-14 relative error = 1.127395987571544e-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) = 1.163654136802719 y[1] (numeric) = 1.163654136802706 absolute error = 1.310063169057685e-14 relative error = 1.125818340368077e-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) = 1.165298888221602 y[1] (numeric) = 1.165298888221589 absolute error = 1.287858708565182e-14 relative error = 1.105174579313829e-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) = 1.166960169667056 y[1] (numeric) = 1.166960169667043 absolute error = 1.265654248072678e-14 relative error = 1.084573647816772e-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) = 1.16863814726861 y[1] (numeric) = 1.168638147268598 absolute error = 1.243449787580175e-14 relative error = 1.064016086148153e-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) = 1.170332988825424 y[1] (numeric) = 1.170332988825411 absolute error = 1.287858708565182e-14 relative error = 1.100420752778839e-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) = 1.172044863823065 y[1] (numeric) = 1.172044863823053 absolute error = 1.287858708565182e-14 relative error = 1.098813491118715e-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) = 1.17377394345046 y[1] (numeric) = 1.173773943450447 absolute error = 1.287858708565182e-14 relative error = 1.097194835301382e-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) = 1.175520400617012 y[1] (numeric) = 1.175520400616999 absolute error = 1.287858708565182e-14 relative error = 1.095564745528198e-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) = 1.177284409969893 y[1] (numeric) = 1.17728440996988 absolute error = 1.287858708565182e-14 relative error = 1.093923182587729e-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) = 1.179066147911508 y[1] (numeric) = 1.179066147911495 absolute error = 1.287858708565182e-14 relative error = 1.092270107870011e-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) = 1.180865792617137 y[1] (numeric) = 1.180865792617124 absolute error = 1.287858708565182e-14 relative error = 1.0906054833809e-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) = 1.182683524052749 y[1] (numeric) = 1.182683524052736 absolute error = 1.287858708565182e-14 relative error = 1.088929271756509e-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) = 1.184519523993004 y[1] (numeric) = 1.184519523992991 absolute error = 1.310063169057685e-14 relative error = 1.105986978282531e-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) = 1.186373976039425 y[1] (numeric) = 1.186373976039412 absolute error = 1.287858708565182e-14 relative error = 1.085541940884907e-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) = 1.188247065638761 y[1] (numeric) = 1.188247065638748 absolute error = 1.287858708565182e-14 relative error = 1.083830750192404e-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) = 1.190138980101535 y[1] (numeric) = 1.190138980101522 absolute error = 1.310063169057685e-14 relative error = 1.100764861046664e-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) = 1.192049908620769 y[1] (numeric) = 1.192049908620755 absolute error = 1.310063169057685e-14 relative error = 1.099000268011815e-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) = 1.193980042290906 y[1] (numeric) = 1.193980042290893 absolute error = 1.287858708565182e-14 relative error = 1.078626662883032e-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) = 1.195929574126924 y[1] (numeric) = 1.19592957412691 absolute error = 1.310063169057685e-14 relative error = 1.095435046845533e-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) = 1.197898699083629 y[1] (numeric) = 1.197898699083616 absolute error = 1.310063169057685e-14 relative error = 1.093634353271992e-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) = 1.199887614075159 y[1] (numeric) = 1.199887614075146 absolute error = 1.310063169057685e-14 relative error = 1.091821562028079e-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) = 1.201896517994669 y[1] (numeric) = 1.201896517994656 absolute error = 1.310063169057685e-14 relative error = 1.089996642342794e-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) = 1.203925611734227 y[1] (numeric) = 1.203925611734214 absolute error = 1.310063169057685e-14 relative error = 1.088159564252951e-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) = 1.205975098204897 y[1] (numeric) = 1.205975098204884 absolute error = 1.287858708565182e-14 relative error = 1.067898259659066e-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) = 1.208045182357034 y[1] (numeric) = 1.208045182357021 absolute error = 1.287858708565182e-14 relative error = 1.066068328713022e-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) = 1.210136071200778 y[1] (numeric) = 1.210136071200766 absolute error = 1.243449787580175e-14 relative error = 1.027528901230372e-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) = 1.212247973826757 y[1] (numeric) = 1.212247973826744 absolute error = 1.243449787580175e-14 relative error = 1.025738804623383e-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) = 1.214381101426991 y[1] (numeric) = 1.214381101426979 absolute error = 1.221245327087672e-14 relative error = 1.005652447697527e-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) = 1.21653566731602 y[1] (numeric) = 1.216535667316008 absolute error = 1.199040866595169e-14 relative error = 9.856191633415492e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.51999999999994 y[1] (closed_form) = 1.218711886952228 y[1] (numeric) = 1.218711886952216 absolute error = 1.221245327087672e-14 relative error = 1.00207878511941e-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) = 1.220909977959391 y[1] (numeric) = 1.220909977959379 absolute error = 1.221245327087672e-14 relative error = 1.000274671461725e-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) = 1.223130160148443 y[1] (numeric) = 1.223130160148431 absolute error = 1.221245327087672e-14 relative error = 9.98459008597628e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.489999999999943 y[1] (closed_form) = 1.225372655539452 y[1] (numeric) = 1.225372655539439 absolute error = 1.243449787580175e-14 relative error = 1.014752354689003e-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) = 1.227637688383826 y[1] (numeric) = 1.227637688383813 absolute error = 1.221245327087672e-14 relative error = 9.947929577621808e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.469999999999945 y[1] (closed_form) = 1.229925485186737 y[1] (numeric) = 1.229925485186725 absolute error = 1.199040866595169e-14 relative error = 9.748890327393465e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.459999999999946 y[1] (closed_form) = 1.232236274729771 y[1] (numeric) = 1.232236274729759 absolute error = 1.176836406102666e-14 relative error = 9.550411964302427e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.449999999999947 y[1] (closed_form) = 1.23457028809381 y[1] (numeric) = 1.234570288093798 absolute error = 1.199040866595169e-14 relative error = 9.712212242257192e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.439999999999948 y[1] (closed_form) = 1.236927758682134 y[1] (numeric) = 1.236927758682123 absolute error = 1.13242748511766e-14 relative error = 9.155162677602025e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.42999999999995 y[1] (closed_form) = 1.239308922243767 y[1] (numeric) = 1.239308922243755 absolute error = 1.13242748511766e-14 relative error = 9.137572277519004e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.419999999999951 y[1] (closed_form) = 1.241714016897048 y[1] (numeric) = 1.241714016897037 absolute error = 1.13242748511766e-14 relative error = 9.119873575620192e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.409999999999952 y[1] (closed_form) = 1.244143283153449 y[1] (numeric) = 1.244143283153438 absolute error = 1.110223024625157e-14 relative error = 8.923594570322692e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.399999999999953 y[1] (closed_form) = 1.246596963941618 y[1] (numeric) = 1.246596963941607 absolute error = 1.06581410364015e-14 relative error = 8.54978902138627e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.389999999999954 y[1] (closed_form) = 1.24907530463168 y[1] (numeric) = 1.249075304631669 absolute error = 1.021405182655144e-14 relative error = 8.177290663482697e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.379999999999955 y[1] (closed_form) = 1.251578553059768 y[1] (numeric) = 1.251578553059758 absolute error = 9.992007221626409e-15 relative error = 7.983523844507146e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.369999999999956 y[1] (closed_form) = 1.254106959552811 y[1] (numeric) = 1.254106959552802 absolute error = 9.769962616701378e-15 relative error = 7.790374291667391e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.359999999999957 y[1] (closed_form) = 1.256660776953567 y[1] (numeric) = 1.256660776953557 absolute error = 9.769962616701378e-15 relative error = 7.774542498561944e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.349999999999958 y[1] (closed_form) = 1.259240260645902 y[1] (numeric) = 1.259240260645893 absolute error = 9.103828801926284e-15 relative error = 7.229620181661485e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.339999999999959 y[1] (closed_form) = 1.261845668580337 y[1] (numeric) = 1.261845668580327 absolute error = 9.103828801926284e-15 relative error = 7.214692754121602e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.329999999999961 y[1] (closed_form) = 1.264477261299835 y[1] (numeric) = 1.264477261299825 absolute error = 9.103828801926284e-15 relative error = 7.19967774870692e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.319999999999962 y[1] (closed_form) = 1.267135301965861 y[1] (numeric) = 1.267135301965852 absolute error = 8.881784197001252e-15 relative error = 7.009341609551769e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.309999999999963 y[1] (closed_form) = 1.269820056384697 y[1] (numeric) = 1.269820056384688 absolute error = 8.659739592076221e-15 relative error = 6.819658855232887e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.299999999999964 y[1] (closed_form) = 1.272531793034023 y[1] (numeric) = 1.272531793034013 absolute error = 9.103828801926284e-15 relative error = 7.154107152184042e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.289999999999965 y[1] (closed_form) = 1.275270783089762 y[1] (numeric) = 1.275270783089753 absolute error = 8.659739592076221e-15 relative error = 6.790510460135501e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.279999999999966 y[1] (closed_form) = 1.278037300453204 y[1] (numeric) = 1.278037300453195 absolute error = 8.43769498715119e-15 relative error = 6.602072556222817e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.269999999999967 y[1] (closed_form) = 1.280831621778389 y[1] (numeric) = 1.280831621778381 absolute error = 8.43769498715119e-15 relative error = 6.587669170312762e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.259999999999968 y[1] (closed_form) = 1.283654026499779 y[1] (numeric) = 1.283654026499771 absolute error = 8.215650382226158e-15 relative error = 6.400206140145325e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.249999999999969 y[1] (closed_form) = 1.286504796860199 y[1] (numeric) = 1.286504796860191 absolute error = 8.215650382226158e-15 relative error = 6.386023901564148e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.23999999999997 y[1] (closed_form) = 1.289384217939059 y[1] (numeric) = 1.289384217939051 absolute error = 8.215650382226158e-15 relative error = 6.371762790270526e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.229999999999972 y[1] (closed_form) = 1.292292577680868 y[1] (numeric) = 1.29229257768086 absolute error = 7.993605777301127e-15 relative error = 6.185600625863187e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.219999999999973 y[1] (closed_form) = 1.295230166924022 y[1] (numeric) = 1.295230166924015 absolute error = 7.549516567451064e-15 relative error = 5.828706557522542e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.209999999999974 y[1] (closed_form) = 1.298197279429895 y[1] (numeric) = 1.298197279429888 absolute error = 6.883382752675971e-15 relative error = 5.302262500271773e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.199999999999975 y[1] (closed_form) = 1.30119421191221 y[1] (numeric) = 1.301194211912203 absolute error = 6.661338147750939e-15 relative error = 5.119403457814007e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.189999999999976 y[1] (closed_form) = 1.304221264066711 y[1] (numeric) = 1.304221264066705 absolute error = 6.217248937900877e-15 relative error = 4.767020067219869e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.179999999999977 y[1] (closed_form) = 1.307278738601138 y[1] (numeric) = 1.307278738601132 absolute error = 6.217248937900877e-15 relative error = 4.755870920499849e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.169999999999978 y[1] (closed_form) = 1.310366941265492 y[1] (numeric) = 1.310366941265486 absolute error = 6.217248937900877e-15 relative error = 4.744662538492114e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.159999999999979 y[1] (closed_form) = 1.313486180882612 y[1] (numeric) = 1.313486180882606 absolute error = 5.329070518200751e-15 relative error = 4.057195725211074e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.14999999999998 y[1] (closed_form) = 1.316636769379059 y[1] (numeric) = 1.316636769379055 absolute error = 4.884981308350689e-15 relative error = 3.710196632784682e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.139999999999981 y[1] (closed_form) = 1.31981902181631 y[1] (numeric) = 1.319819021816306 absolute error = 4.218847493575595e-15 relative error = 3.196534845944027e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.129999999999983 y[1] (closed_form) = 1.323033256422259 y[1] (numeric) = 1.323033256422255 absolute error = 3.774758283725532e-15 relative error = 2.853109145520059e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.119999999999984 y[1] (closed_form) = 1.326279794623045 y[1] (numeric) = 1.326279794623042 absolute error = 3.108624468950438e-15 relative error = 2.343867773265725e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.109999999999985 y[1] (closed_form) = 1.329558961075194 y[1] (numeric) = 1.329558961075191 absolute error = 2.886579864025407e-15 relative error = 2.171080748228776e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.099999999999986 y[1] (closed_form) = 1.332871083698084 y[1] (numeric) = 1.332871083698082 absolute error = 2.442490654175344e-15 relative error = 1.832503296116675e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.089999999999987 y[1] (closed_form) = 1.336216493706738 y[1] (numeric) = 1.336216493706735 absolute error = 2.442490654175344e-15 relative error = 1.827915360780903e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.079999999999988 y[1] (closed_form) = 1.339595525644943 y[1] (numeric) = 1.339595525644941 absolute error = 2.220446049250313e-15 relative error = 1.657549616091236e-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) = 1.34300851741871 y[1] (numeric) = 1.343008517418709 absolute error = 1.77635683940025e-15 relative error = 1.322669824026466e-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) = 1.346455810330061 y[1] (numeric) = 1.346455810330059 absolute error = 1.554312234475219e-15 relative error = 1.154373000993034e-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) = 1.349937749111158 y[1] (numeric) = 1.349937749111157 absolute error = 1.332267629550188e-15 relative error = 9.869104189636855e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.039999999999992 y[1] (closed_form) = 1.353454681958783 y[1] (numeric) = 1.353454681958782 absolute error = 6.661338147750939e-16 relative error = 4.921729730995011e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.029999999999994 y[1] (closed_form) = 1.35700696056915 y[1] (numeric) = 1.357006960569149 absolute error = 2.220446049250313e-16 relative error = 1.63628198953307e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.019999999999995 y[1] (closed_form) = 1.36059494017308 y[1] (numeric) = 1.360594940173081 absolute error = 4.440892098500626e-16 relative error = 3.263934009585324e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.009999999999996 y[1] (closed_form) = 1.364218979571525 y[1] (numeric) = 1.364218979571526 absolute error = 6.661338147750939e-16 relative error = 4.882895083194883e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9999999999999968 y[1] (closed_form) = 1.367879441171443 y[1] (numeric) = 1.367879441171445 absolute error = 1.332267629550188e-15 relative error = 9.739656796137254e-14 % 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) = 1.371576691022047 y[1] (numeric) = 1.371576691022048 absolute error = 1.110223024625157e-15 relative error = 8.094501983683177e-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) = 1.375311098851401 y[1] (numeric) = 1.375311098851402 absolute error = 8.881784197001252e-16 relative error = 6.458018265408406e-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) = 1.3790830381034 y[1] (numeric) = 1.379083038103401 absolute error = 1.332267629550188e-15 relative error = 9.660532344610695e-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) = 1.382892885975113 y[1] (numeric) = 1.382892885975115 absolute error = 1.554312234475219e-15 relative error = 1.123957068720643e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9499999999999967 y[1] (closed_form) = 1.386741023454503 y[1] (numeric) = 1.386741023454504 absolute error = 1.332267629550188e-15 relative error = 9.607184088571805e-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) = 1.390627835358522 y[1] (numeric) = 1.390627835358524 absolute error = 1.554312234475219e-15 relative error = 1.117705395329223e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9299999999999967 y[1] (closed_form) = 1.394553710371602 y[1] (numeric) = 1.394553710371604 absolute error = 1.77635683940025e-15 relative error = 1.273781587750328e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9199999999999967 y[1] (closed_form) = 1.398519041084515 y[1] (numeric) = 1.398519041084517 absolute error = 1.554312234475219e-15 relative error = 1.11139869305597e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9099999999999967 y[1] (closed_form) = 1.402524224033637 y[1] (numeric) = 1.402524224033639 absolute error = 1.554312234475219e-15 relative error = 1.108224876148693e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8999999999999967 y[1] (closed_form) = 1.406569659740601 y[1] (numeric) = 1.406569659740602 absolute error = 1.332267629550188e-15 relative error = 9.471750085920981e-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) = 1.410655752752347 y[1] (numeric) = 1.410655752752348 absolute error = 1.332267629550188e-15 relative error = 9.444314298160873e-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) = 1.414782911681583 y[1] (numeric) = 1.414782911681584 absolute error = 8.881784197001252e-16 relative error = 6.277842433398167e-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) = 1.41895154924764 y[1] (numeric) = 1.418951549247642 absolute error = 1.332267629550188e-15 relative error = 9.389098805076084e-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) = 1.42316208231775 y[1] (numeric) = 1.423162082317751 absolute error = 1.110223024625157e-15 relative error = 7.801100369516987e-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) = 1.427414931948728 y[1] (numeric) = 1.427414931948729 absolute error = 1.110223024625157e-15 relative error = 7.777857718704564e-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) = 1.431710523429081 y[1] (numeric) = 1.431710523429082 absolute error = 1.110223024625157e-15 relative error = 7.75452164705801e-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) = 1.436049286321537 y[1] (numeric) = 1.436049286321538 absolute error = 8.881784197001252e-16 relative error = 6.18487421121324e-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) = 1.440431654506001 y[1] (numeric) = 1.440431654506002 absolute error = 8.881784197001252e-16 relative error = 6.166057354555486e-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) = 1.444858066222943 y[1] (numeric) = 1.444858066222944 absolute error = 8.881784197001252e-16 relative error = 6.147167257901986e-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) = 1.449328964117223 y[1] (numeric) = 1.449328964117224 absolute error = 6.661338147750939e-16 relative error = 4.59615333211002e-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) = 1.453844795282357 y[1] (numeric) = 1.453844795282357 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] = -0.7799999999999966 y[1] (closed_form) = 1.458406011305225 y[1] (numeric) = 1.458406011305225 absolute error = 2.220446049250313e-16 relative error = 1.522515700043699e-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) = 1.46301306831123 y[1] (numeric) = 1.46301306831123 absolute error = 6.661338147750939e-16 relative error = 4.55316380423053e-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) = 1.467666427009911 y[1] (numeric) = 1.467666427009912 absolute error = 8.881784197001252e-16 relative error = 6.051636825335158e-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) = 1.472366552741016 y[1] (numeric) = 1.472366552741017 absolute error = 8.881784197001252e-16 relative error = 6.032318637275866e-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) = 1.477113915521036 y[1] (numeric) = 1.477113915521037 absolute error = 8.881784197001252e-16 relative error = 6.012931097374639e-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) = 1.481908990090204 y[1] (numeric) = 1.481908990090205 absolute error = 6.661338147750939e-16 relative error = 4.495106104556031e-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) = 1.486752255959973 y[1] (numeric) = 1.486752255959974 absolute error = 8.881784197001252e-16 relative error = 5.97395037498458e-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) = 1.491644197460967 y[1] (numeric) = 1.491644197460968 absolute error = 8.881784197001252e-16 relative error = 5.954358426841713e-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) = 1.496585303791411 y[1] (numeric) = 1.496585303791412 absolute error = 1.110223024625157e-15 relative error = 7.418374494340855e-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) = 1.501576069066057 y[1] (numeric) = 1.501576069066058 absolute error = 1.110223024625157e-15 relative error = 7.39371815718725e-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) = 1.506616992365591 y[1] (numeric) = 1.506616992365593 absolute error = 1.554312234475219e-15 relative error = 1.031657177870229e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6699999999999965 y[1] (closed_form) = 1.511708577786544 y[1] (numeric) = 1.511708577786546 absolute error = 1.77635683940025e-15 relative error = 1.175065661135036e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6599999999999965 y[1] (closed_form) = 1.516851334491701 y[1] (numeric) = 1.516851334491703 absolute error = 1.77635683940025e-15 relative error = 1.171081699971283e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6499999999999965 y[1] (closed_form) = 1.522045776761018 y[1] (numeric) = 1.52204577676102 absolute error = 1.77635683940025e-15 relative error = 1.167085028927591e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6399999999999965 y[1] (closed_form) = 1.527292424043051 y[1] (numeric) = 1.527292424043052 absolute error = 1.77635683940025e-15 relative error = 1.163075787869016e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6299999999999965 y[1] (closed_form) = 1.532591801006899 y[1] (numeric) = 1.532591801006901 absolute error = 1.998401444325282e-15 relative error = 1.303935883653005e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6199999999999964 y[1] (closed_form) = 1.537944437594676 y[1] (numeric) = 1.537944437594678 absolute error = 1.998401444325282e-15 relative error = 1.299397686597023e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6099999999999964 y[1] (closed_form) = 1.543350869074502 y[1] (numeric) = 1.543350869074504 absolute error = 2.220446049250313e-15 relative error = 1.438717594128057e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5999999999999964 y[1] (closed_form) = 1.548811636094028 y[1] (numeric) = 1.54881163609403 absolute error = 2.220446049250313e-15 relative error = 1.433644994332616e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5899999999999964 y[1] (closed_form) = 1.554327284734509 y[1] (numeric) = 1.554327284734511 absolute error = 2.220446049250313e-15 relative error = 1.428557595982485e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5799999999999964 y[1] (closed_form) = 1.559898366565404 y[1] (numeric) = 1.559898366565406 absolute error = 2.220446049250313e-15 relative error = 1.423455589699288e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5699999999999964 y[1] (closed_form) = 1.565525438699539 y[1] (numeric) = 1.565525438699542 absolute error = 2.664535259100376e-15 relative error = 1.702007002398996e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5599999999999964 y[1] (closed_form) = 1.571209063848817 y[1] (numeric) = 1.571209063848819 absolute error = 2.220446049250313e-15 relative error = 1.413208528603528e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5499999999999964 y[1] (closed_form) = 1.576949810380489 y[1] (numeric) = 1.576949810380491 absolute error = 2.220446049250313e-15 relative error = 1.408063867748943e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5399999999999964 y[1] (closed_form) = 1.582748252373992 y[1] (numeric) = 1.582748252373994 absolute error = 2.442490654175344e-15 relative error = 1.543195925512355e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5299999999999964 y[1] (closed_form) = 1.588604969678357 y[1] (numeric) = 1.58860496967836 absolute error = 2.442490654175344e-15 relative error = 1.537506617941572e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5199999999999964 y[1] (closed_form) = 1.594520547970196 y[1] (numeric) = 1.594520547970199 absolute error = 2.220446049250313e-15 relative error = 1.392547780006292e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5099999999999963 y[1] (closed_form) = 1.600495578812268 y[1] (numeric) = 1.60049557881227 absolute error = 2.220446049250313e-15 relative error = 1.387349067779438e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4999999999999963 y[1] (closed_form) = 1.606530659712636 y[1] (numeric) = 1.606530659712638 absolute error = 2.220446049250313e-15 relative error = 1.382137362786148e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4899999999999963 y[1] (closed_form) = 1.612626394184418 y[1] (numeric) = 1.612626394184421 absolute error = 2.220446049250313e-15 relative error = 1.376912877810919e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4799999999999963 y[1] (closed_form) = 1.618783391806143 y[1] (numeric) = 1.618783391806145 absolute error = 1.77635683940025e-15 relative error = 1.097340662371323e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4699999999999963 y[1] (closed_form) = 1.625002268282703 y[1] (numeric) = 1.625002268282705 absolute error = 1.77635683940025e-15 relative error = 1.093141144521293e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4599999999999963 y[1] (closed_form) = 1.631283645506928 y[1] (numeric) = 1.63128364550693 absolute error = 1.77635683940025e-15 relative error = 1.088931924434417e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4499999999999963 y[1] (closed_form) = 1.637628151621776 y[1] (numeric) = 1.637628151621777 absolute error = 1.554312234475219e-15 relative error = 9.491240321778499e-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) = 1.644036421083144 y[1] (numeric) = 1.644036421083145 absolute error = 1.554312234475219e-15 relative error = 9.454244532193445e-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) = 1.650509094723319 y[1] (numeric) = 1.650509094723321 absolute error = 1.554312234475219e-15 relative error = 9.417168553898665e-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) = 1.657046819815059 y[1] (numeric) = 1.657046819815061 absolute error = 1.554312234475219e-15 relative error = 9.380013985656083e-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) = 1.663650250136322 y[1] (numeric) = 1.663650250136323 absolute error = 1.332267629550188e-15 relative error = 8.008099235046669e-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) = 1.670320046035642 y[1] (numeric) = 1.670320046035643 absolute error = 1.332267629550188e-15 relative error = 7.976121897789638e-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) = 1.677056874498167 y[1] (numeric) = 1.677056874498169 absolute error = 1.554312234475219e-15 relative error = 9.268094947229042e-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) = 1.683861409212358 y[1] (numeric) = 1.68386140921236 absolute error = 1.554312234475219e-15 relative error = 9.230642296162977e-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) = 1.690734330637357 y[1] (numeric) = 1.690734330637359 absolute error = 1.332267629550188e-15 relative error = 7.879816511728144e-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) = 1.697676326071034 y[1] (numeric) = 1.697676326071035 absolute error = 1.554312234475219e-15 relative error = 9.155527532579754e-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) = 1.704688089718716 y[1] (numeric) = 1.704688089718718 absolute error = 1.554312234475219e-15 relative error = 9.117868798694371e-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) = 1.711770322762612 y[1] (numeric) = 1.711770322762614 absolute error = 1.332267629550188e-15 relative error = 7.782981231968385e-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) = 1.718923733431929 y[1] (numeric) = 1.71892373343193 absolute error = 1.332267629550188e-15 relative error = 7.750591859536663e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3199999999999962 y[1] (closed_form) = 1.726149037073694 y[1] (numeric) = 1.726149037073695 absolute error = 1.110223024625157e-15 relative error = 6.431791234592904e-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) = 1.733446956224292 y[1] (numeric) = 1.733446956224293 absolute error = 1.332267629550188e-15 relative error = 7.685655593708313e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2999999999999962 y[1] (closed_form) = 1.740818220681721 y[1] (numeric) = 1.740818220681722 absolute error = 1.110223024625157e-15 relative error = 6.377593084879263e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2899999999999961 y[1] (closed_form) = 1.748263567578568 y[1] (numeric) = 1.748263567578569 absolute error = 1.332267629550188e-15 relative error = 7.620519321325472e-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) = 1.755783741455728 y[1] (numeric) = 1.75578374145573 absolute error = 1.332267629550188e-15 relative error = 7.587879976867759e-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) = 1.763379494336856 y[1] (numeric) = 1.763379494336858 absolute error = 1.554312234475219e-15 relative error = 8.81439440271897e-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) = 1.771051585803569 y[1] (numeric) = 1.771051585803571 absolute error = 1.998401444325282e-15 relative error = 1.128369981057643e-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) = 1.778800783071408 y[1] (numeric) = 1.77880078307141 absolute error = 1.998401444325282e-15 relative error = 1.12345433133591e-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) = 1.786627861066556 y[1] (numeric) = 1.786627861066558 absolute error = 1.998401444325282e-15 relative error = 1.118532565104131e-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) = 1.794533602503337 y[1] (numeric) = 1.794533602503339 absolute error = 1.998401444325282e-15 relative error = 1.113604917476916e-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) = 1.802518797962481 y[1] (numeric) = 1.802518797962483 absolute error = 1.998401444325282e-15 relative error = 1.108671624719931e-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) = 1.81058424597019 y[1] (numeric) = 1.810584245970192 absolute error = 1.77635683940025e-15 relative error = 9.81095932627206e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1999999999999961 y[1] (closed_form) = 1.818730753077985 y[1] (numeric) = 1.818730753077987 absolute error = 1.77635683940025e-15 relative error = 9.767013816607973e-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) = 1.826959133943366 y[1] (numeric) = 1.826959133943367 absolute error = 1.554312234475219e-15 relative error = 8.507646425130172e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1799999999999961 y[1] (closed_form) = 1.835270211411275 y[1] (numeric) = 1.835270211411277 absolute error = 1.554312234475219e-15 relative error = 8.469119287235602e-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) = 1.843664816596387 y[1] (numeric) = 1.843664816596389 absolute error = 1.77635683940025e-15 relative error = 9.634922917711286e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.159999999999996 y[1] (closed_form) = 1.852143788966215 y[1] (numeric) = 1.852143788966217 absolute error = 1.998401444325282e-15 relative error = 1.078966685108558e-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) = 1.860707976425061 y[1] (numeric) = 1.860707976425063 absolute error = 1.998401444325282e-15 relative error = 1.07400057915846e-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) = 1.869358235398809 y[1] (numeric) = 1.869358235398812 absolute error = 2.220446049250313e-15 relative error = 1.187811949150882e-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) = 1.878095430920565 y[1] (numeric) = 1.878095430920567 absolute error = 1.998401444325282e-15 relative error = 1.064057454921632e-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) = 1.886920436717161 y[1] (numeric) = 1.886920436717163 absolute error = 2.220446049250313e-15 relative error = 1.17675658498533e-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) = 1.895834135296532 y[1] (numeric) = 1.895834135296534 absolute error = 2.220446049250313e-15 relative error = 1.17122379427091e-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) = 1.904837418035963 y[1] (numeric) = 1.904837418035966 absolute error = 2.220446049250313e-15 relative error = 1.165687962776249e-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) = 1.913931185271232 y[1] (numeric) = 1.913931185271234 absolute error = 1.998401444325282e-15 relative error = 1.044134428501973e-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) = 1.92311634638664 y[1] (numeric) = 1.923116346386642 absolute error = 2.220446049250313e-15 relative error = 1.154608276000736e-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) = 1.932393819905952 y[1] (numeric) = 1.932393819905955 absolute error = 2.664535259100376e-15 relative error = 1.378877965584705e-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) = 1.941764533584252 y[1] (numeric) = 1.941764533584255 absolute error = 3.108624468950438e-15 relative error = 1.6009276177335e-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) = 1.951229424500718 y[1] (numeric) = 1.951229424500721 absolute error = 2.886579864025407e-15 relative error = 1.479364665056764e-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) = 1.960789439152327 y[1] (numeric) = 1.96078943915233 absolute error = 3.108624468950438e-15 relative error = 1.585394334995161e-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) = 1.970445533548512 y[1] (numeric) = 1.970445533548515 absolute error = 2.886579864025407e-15 relative error = 1.464937657437837e-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) = 1.980198673306759 y[1] (numeric) = 1.980198673306762 absolute error = 3.108624468950438e-15 relative error = 1.569854838736613e-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) = 1.990049833749172 y[1] (numeric) = 1.990049833749175 absolute error = 2.886579864025407e-15 relative error = 1.450506321536285e-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) = 2.000000000000004 y[1] (numeric) = 2.000000000000007 absolute error = 3.108624468950438e-15 relative error = 1.554312234475216e-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) = 2.010050167084172 y[1] (numeric) = 2.010050167084175 absolute error = 3.552713678800501e-15 relative error = 1.767475129217374e-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) = 2.02020134002676 y[1] (numeric) = 2.020201340026763 absolute error = 3.552713678800501e-15 relative error = 1.758593863101507e-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) = 2.030454533953521 y[1] (numeric) = 2.030454533953524 absolute error = 3.108624468950438e-15 relative error = 1.530999299401992e-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) = 2.040810774192392 y[1] (numeric) = 2.040810774192396 absolute error = 3.552713678800501e-15 relative error = 1.740834438806024e-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) = 2.051271096376028 y[1] (numeric) = 2.051271096376031 absolute error = 3.108624468950438e-15 relative error = 1.515462521966224e-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) = 2.061836546545364 y[1] (numeric) = 2.061836546545367 absolute error = 3.108624468950438e-15 relative error = 1.507696851216932e-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) = 2.072508181254221 y[1] (numeric) = 2.072508181254223 absolute error = 2.220446049250313e-15 relative error = 1.071381077929721e-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) = 2.083287067674963 y[1] (numeric) = 2.083287067674965 absolute error = 1.77635683940025e-15 relative error = 8.526702185996577e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.09000000000000417 y[1] (closed_form) = 2.094174283705215 y[1] (numeric) = 2.094174283705216 absolute error = 1.332267629550188e-15 relative error = 6.361780105488698e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1000000000000042 y[1] (closed_form) = 2.105170918075652 y[1] (numeric) = 2.105170918075653 absolute error = 1.332267629550188e-15 relative error = 6.328548518844355e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1100000000000042 y[1] (closed_form) = 2.116278070458876 y[1] (numeric) = 2.116278070458878 absolute error = 1.77635683940025e-15 relative error = 8.393778039835191e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1200000000000042 y[1] (closed_form) = 2.12749685157938 y[1] (numeric) = 2.127496851579382 absolute error = 1.77635683940025e-15 relative error = 8.349515714119833e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1300000000000042 y[1] (closed_form) = 2.138828383324626 y[1] (numeric) = 2.138828383324628 absolute error = 1.332267629550188e-15 relative error = 6.228959929357639e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1400000000000042 y[1] (closed_form) = 2.150273798857232 y[1] (numeric) = 2.150273798857234 absolute error = 1.77635683940025e-15 relative error = 8.261072800795411e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1500000000000042 y[1] (closed_form) = 2.161834242728288 y[1] (numeric) = 2.16183424272829 absolute error = 1.77635683940025e-15 relative error = 8.216896579260602e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1600000000000042 y[1] (closed_form) = 2.173510870991815 y[1] (numeric) = 2.173510870991817 absolute error = 1.77635683940025e-15 relative error = 8.172753415259729e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1700000000000042 y[1] (closed_form) = 2.185304851320371 y[1] (numeric) = 2.185304851320371 absolute error = 8.881784197001252e-16 relative error = 4.064322738145591e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1800000000000042 y[1] (closed_form) = 2.197217363121815 y[1] (numeric) = 2.197217363121816 absolute error = 8.881784197001252e-16 relative error = 4.042287461438033e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1900000000000042 y[1] (closed_form) = 2.209249597657257 y[1] (numeric) = 2.209249597657258 absolute error = 8.881784197001252e-16 relative error = 4.020271954069706e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2000000000000043 y[1] (closed_form) = 2.221402758160175 y[1] (numeric) = 2.221402758160176 absolute error = 8.881784197001252e-16 relative error = 3.998277288697248e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2100000000000043 y[1] (closed_form) = 2.233678059956748 y[1] (numeric) = 2.23367805995675 absolute error = 1.332267629550188e-15 relative error = 5.964456800797807e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2200000000000043 y[1] (closed_form) = 2.246076730587386 y[1] (numeric) = 2.246076730587387 absolute error = 4.440892098500626e-16 relative error = 1.97717737690077e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2300000000000043 y[1] (closed_form) = 2.258600009929483 y[1] (numeric) = 2.258600009929483 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] = 0.2400000000000043 y[1] (closed_form) = 2.27124915032141 y[1] (numeric) = 2.27124915032141 absolute error = 4.440892098500626e-16 relative error = 1.955264176046994e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2500000000000043 y[1] (closed_form) = 2.284025416687747 y[1] (numeric) = 2.284025416687746 absolute error = 8.881784197001252e-16 relative error = 3.8886538355083e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2600000000000043 y[1] (closed_form) = 2.296930086665777 y[1] (numeric) = 2.296930086665776 absolute error = 8.881784197001252e-16 relative error = 3.866806503411711e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2700000000000043 y[1] (closed_form) = 2.309964450733253 y[1] (numeric) = 2.309964450733252 absolute error = 1.77635683940025e-15 relative error = 7.689974790895075e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2800000000000043 y[1] (closed_form) = 2.323129812337442 y[1] (numeric) = 2.323129812337441 absolute error = 1.332267629550188e-15 relative error = 5.734796318634093e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2900000000000043 y[1] (closed_form) = 2.336427488025478 y[1] (numeric) = 2.336427488025477 absolute error = 1.332267629550188e-15 relative error = 5.70215697417638e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3000000000000043 y[1] (closed_form) = 2.349858807576009 y[1] (numeric) = 2.349858807576008 absolute error = 1.332267629550188e-15 relative error = 5.669564593646736e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3100000000000043 y[1] (closed_form) = 2.363425114132184 y[1] (numeric) = 2.363425114132182 absolute error = 1.77635683940025e-15 relative error = 7.516027602391386e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000043 y[1] (closed_form) = 2.377127764335963 y[1] (numeric) = 2.377127764335961 absolute error = 1.77635683940025e-15 relative error = 7.472702418653822e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3300000000000043 y[1] (closed_form) = 2.390968128463786 y[1] (numeric) = 2.390968128463785 absolute error = 1.332267629550188e-15 relative error = 5.572084435965189e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000044 y[1] (closed_form) = 2.4049475905636 y[1] (numeric) = 2.404947590563598 absolute error = 1.332267629550188e-15 relative error = 5.539695063533467e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3500000000000044 y[1] (closed_form) = 2.419067548593263 y[1] (numeric) = 2.419067548593262 absolute error = 1.332267629550188e-15 relative error = 5.507360182335249e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3600000000000044 y[1] (closed_form) = 2.433329414560347 y[1] (numeric) = 2.433329414560345 absolute error = 1.332267629550188e-15 relative error = 5.475081267576349e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3700000000000044 y[1] (closed_form) = 2.447734614663331 y[1] (numeric) = 2.44773461466333 absolute error = 8.881784197001252e-16 relative error = 3.628573189182473e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3800000000000044 y[1] (closed_form) = 2.462284589434231 y[1] (numeric) = 2.46228458943423 absolute error = 8.881784197001252e-16 relative error = 3.607131456336676e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3900000000000044 y[1] (closed_form) = 2.476980793882649 y[1] (numeric) = 2.476980793882648 absolute error = 1.332267629550188e-15 relative error = 5.378594912162675e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4000000000000044 y[1] (closed_form) = 2.491824697641277 y[1] (numeric) = 2.491824697641275 absolute error = 1.77635683940025e-15 relative error = 7.128739196949621e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4100000000000044 y[1] (closed_form) = 2.50681778511286 y[1] (numeric) = 2.506817785112858 absolute error = 1.77635683940025e-15 relative error = 7.086102747273579e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4200000000000044 y[1] (closed_form) = 2.521961555618641 y[1] (numeric) = 2.521961555618639 absolute error = 1.77635683940025e-15 relative error = 7.043552410395518e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4300000000000044 y[1] (closed_form) = 2.537257523548288 y[1] (numeric) = 2.537257523548287 absolute error = 1.332267629550188e-15 relative error = 5.250817535017283e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4400000000000044 y[1] (closed_form) = 2.552707218511343 y[1] (numeric) = 2.552707218511341 absolute error = 1.77635683940025e-15 relative error = 6.958717500067104e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000045 y[1] (closed_form) = 2.568312185490176 y[1] (numeric) = 2.568312185490174 absolute error = 1.332267629550188e-15 relative error = 5.187327448263139e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4600000000000045 y[1] (closed_form) = 2.584073984994489 y[1] (numeric) = 2.584073984994487 absolute error = 1.77635683940025e-15 relative error = 6.874249149658302e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4700000000000045 y[1] (closed_form) = 2.599994193217367 y[1] (numeric) = 2.599994193217365 absolute error = 1.77635683940025e-15 relative error = 6.832156948789546e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4800000000000045 y[1] (closed_form) = 2.616074402192901 y[1] (numeric) = 2.616074402192898 absolute error = 2.220446049250313e-15 relative error = 8.487702212861547e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4900000000000045 y[1] (closed_form) = 2.632316219955386 y[1] (numeric) = 2.632316219955384 absolute error = 2.220446049250313e-15 relative error = 8.435331714393897e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5000000000000044 y[1] (closed_form) = 2.648721270700135 y[1] (numeric) = 2.648721270700134 absolute error = 1.77635683940025e-15 relative error = 6.706469491713285e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5100000000000044 y[1] (closed_form) = 2.665291194945894 y[1] (numeric) = 2.665291194945891 absolute error = 2.664535259100376e-15 relative error = 9.997163777650443e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5200000000000045 y[1] (closed_form) = 2.682027649698894 y[1] (numeric) = 2.682027649698891 absolute error = 3.108624468950438e-15 relative error = 1.159057576941624e-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) = 2.698932308618558 y[1] (numeric) = 2.698932308618555 absolute error = 3.552713678800501e-15 relative error = 1.316340416340026e-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) = 2.716006862184866 y[1] (numeric) = 2.716006862184863 absolute error = 2.664535259100376e-15 relative error = 9.810487949050746e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000045 y[1] (closed_form) = 2.733253017867403 y[1] (numeric) = 2.7332530178674 absolute error = 3.108624468950438e-15 relative error = 1.137335054101912e-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) = 2.750672500296109 y[1] (numeric) = 2.750672500296106 absolute error = 3.552713678800501e-15 relative error = 1.29158003303485e-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) = 2.768267051433743 y[1] (numeric) = 2.76826705143374 absolute error = 3.552713678800501e-15 relative error = 1.283371008935166e-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) = 2.786038430750081 y[1] (numeric) = 2.786038430750078 absolute error = 3.552713678800501e-15 relative error = 1.275184735281634e-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) = 2.803988415397865 y[1] (numeric) = 2.803988415397861 absolute error = 3.996802888650564e-15 relative error = 1.425399215882084e-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) = 2.822118800390517 y[1] (numeric) = 2.822118800390513 absolute error = 4.440892098500626e-15 relative error = 1.573602109835386e-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) = 2.840431398781646 y[1] (numeric) = 2.840431398781641 absolute error = 4.884981308350689e-15 relative error = 1.719802601268954e-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) = 2.858928041846351 y[1] (numeric) = 2.858928041846346 absolute error = 4.884981308350689e-15 relative error = 1.708675852224624e-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) = 2.877610579264352 y[1] (numeric) = 2.877610579264347 absolute error = 4.884981308350689e-15 relative error = 1.697582481643333e-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) = 2.89648087930496 y[1] (numeric) = 2.896480879304956 absolute error = 3.996802888650564e-15 relative error = 1.37988236594527e-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) = 2.915540829013905 y[1] (numeric) = 2.915540829013901 absolute error = 3.996802888650564e-15 relative error = 1.370861573563476e-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) = 2.93479233440204 y[1] (numeric) = 2.934792334402036 absolute error = 3.996802888650564e-15 relative error = 1.36186906371517e-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) = 2.954237320635948 y[1] (numeric) = 2.954237320635944 absolute error = 4.440892098500626e-15 relative error = 1.503227945663028e-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) = 2.973877732230457 y[1] (numeric) = 2.973877732230452 absolute error = 4.884981308350689e-15 relative error = 1.642630177901387e-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) = 2.993715533243091 y[1] (numeric) = 2.993715533243086 absolute error = 4.884981308350689e-15 relative error = 1.63174531918829e-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) = 3.013752707470486 y[1] (numeric) = 3.013752707470481 absolute error = 5.329070518200751e-15 relative error = 1.768250760917131e-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) = 3.03399125864676 y[1] (numeric) = 3.033991258646755 absolute error = 5.329070518200751e-15 relative error = 1.756455462095714e-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) = 3.054433210643897 y[1] (numeric) = 3.054433210643892 absolute error = 5.329070518200751e-15 relative error = 1.744700293209994e-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) = 3.075080607674132 y[1] (numeric) = 3.075080607674127 absolute error = 5.329070518200751e-15 relative error = 1.732985634555917e-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) = 3.095935514494374 y[1] (numeric) = 3.095935514494369 absolute error = 5.329070518200751e-15 relative error = 1.721311859775959e-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) = 3.117000016612685 y[1] (numeric) = 3.117000016612679 absolute error = 5.773159728050814e-15 relative error = 1.852152613821491e-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) = 3.138276220496829 y[1] (numeric) = 3.138276220496822 absolute error = 6.661338147750939e-15 relative error = 2.122610528749558e-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) = 3.159766253784925 y[1] (numeric) = 3.159766253784918 absolute error = 6.661338147750939e-15 relative error = 2.108174343520397e-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) = 3.181472265498211 y[1] (numeric) = 3.181472265498205 absolute error = 6.661338147750939e-15 relative error = 2.093791047619832e-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) = 3.203396426255947 y[1] (numeric) = 3.203396426255941 absolute error = 6.217248937900877e-15 relative error = 1.940830328379759e-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) = 3.225540928492478 y[1] (numeric) = 3.225540928492472 absolute error = 6.217248937900877e-15 relative error = 1.927505827931513e-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) = 3.247907986676482 y[1] (numeric) = 3.247907986676477 absolute error = 5.329070518200751e-15 relative error = 1.640770163459551e-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) = 3.270499837532416 y[1] (numeric) = 3.270499837532411 absolute error = 4.884981308350689e-15 relative error = 1.493649763345163e-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) = 3.293318740264194 y[1] (numeric) = 3.293318740264188 absolute error = 5.329070518200751e-15 relative error = 1.618145991472799e-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) = 3.316366976781103 y[1] (numeric) = 3.316366976781097 absolute error = 5.329070518200751e-15 relative error = 1.606900127612897e-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) = 3.339646851926002 y[1] (numeric) = 3.339646851925997 absolute error = 4.440892098500626e-15 relative error = 1.329749011018793e-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) = 3.363160693705806 y[1] (numeric) = 3.363160693705802 absolute error = 4.440892098500626e-15 relative error = 1.320451950693824e-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) = 3.386910853524288 y[1] (numeric) = 3.386910853524284 absolute error = 4.440892098500626e-15 relative error = 1.311192496808591e-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) = 3.410899706417221 y[1] (numeric) = 3.410899706417217 absolute error = 4.440892098500626e-15 relative error = 1.301970881801535e-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) = 3.435129651289886 y[1] (numeric) = 3.435129651289881 absolute error = 4.884981308350689e-15 relative error = 1.422066065691694e-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) = 3.459603111156961 y[1] (numeric) = 3.459603111156957 absolute error = 4.440892098500626e-15 relative error = 1.283642069860292e-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) = 3.484322533384828 y[1] (numeric) = 3.484322533384824 absolute error = 4.440892098500626e-15 relative error = 1.274535309504354e-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) = 3.50929038993631 y[1] (numeric) = 3.509290389936305 absolute error = 4.440892098500626e-15 relative error = 1.265467261197847e-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) = 3.534509177617867 y[1] (numeric) = 3.534509177617863 absolute error = 3.996802888650564e-15 relative error = 1.130794316212319e-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) = 3.559981418329284 y[1] (numeric) = 3.559981418329279 absolute error = 4.440892098500626e-15 relative error = 1.247448111845696e-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) = 3.585709659315859 y[1] (numeric) = 3.585709659315854 absolute error = 4.884981308350689e-15 relative error = 1.362347142541018e-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) = 3.61169647342313 y[1] (numeric) = 3.611696473423126 absolute error = 4.440892098500626e-15 relative error = 1.22958618787021e-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) = 3.637944459354165 y[1] (numeric) = 3.637944459354161 absolute error = 4.884981308350689e-15 relative error = 1.34278611532676e-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) = 3.66445624192943 y[1] (numeric) = 3.664456241929425 absolute error = 4.884981308350689e-15 relative error = 1.333071262376058e-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) = 3.691234472349275 y[1] (numeric) = 3.691234472349271 absolute error = 4.440892098500626e-15 relative error = 1.203091305027349e-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) = 3.718281828459058 y[1] (numeric) = 3.718281828459054 absolute error = 3.996802888650564e-15 relative error = 1.074905849809381e-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) = 3.745601015016927 y[1] (numeric) = 3.745601015016926 absolute error = 1.332267629550188e-15 relative error = 3.556886129112092e-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) = 3.773194763964305 y[1] (numeric) = 3.773194763964308 absolute error = 2.220446049250313e-15 relative error = 5.884790444576474e-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) = 3.801065834699084 y[1] (numeric) = 3.801065834699088 absolute error = 4.884981308350689e-15 relative error = 1.285160931377926e-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) = 3.829217014351561 y[1] (numeric) = 3.829217014351569 absolute error = 8.43769498715119e-15 relative error = 2.203503994557495e-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) = 3.857651118063162 y[1] (numeric) = 3.857651118063174 absolute error = 1.199040866595169e-14 relative error = 3.108214895278503e-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) = 3.886370989267953 y[1] (numeric) = 3.886370989267968 absolute error = 1.465494392505207e-14 relative error = 3.77085562997487e-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) = 3.915379499976988 y[1] (numeric) = 3.915379499977006 absolute error = 1.731947918415244e-14 relative error = 4.423448399894373e-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) = 3.944679551065512 y[1] (numeric) = 3.944679551065533 absolute error = 2.087219286295294e-14 relative error = 5.291226471695293e-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) = 3.974274072563051 y[1] (numeric) = 3.974274072563074 absolute error = 2.353672812205332e-14 relative error = 5.922271009073674e-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) = 4.004166023946414 y[1] (numeric) = 4.004166023946442 absolute error = 2.753353101070388e-14 relative error = 6.876221127206774e-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) = 4.034358394435653 y[1] (numeric) = 4.034358394435683 absolute error = 3.019806626980426e-14 relative error = 7.485221519103168e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999992 y[1] (closed_form) = 4.064854203292977 y[1] (numeric) = 4.06485420329301 absolute error = 3.375077994860476e-14 relative error = 8.303072696005415e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999991 y[1] (closed_form) = 4.095656500124682 y[1] (numeric) = 4.095656500124719 absolute error = 3.730349362740526e-14 relative error = 9.108062071677555e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999989 y[1] (closed_form) = 4.126768365186123 y[1] (numeric) = 4.126768365186163 absolute error = 3.996802888650564e-14 relative error = 9.685067188088474e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999988 y[1] (closed_form) = 4.158192909689731 y[1] (numeric) = 4.158192909689777 absolute error = 4.529709940470639e-14 relative error = 1.08934579007029e-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) = 4.189933276116144 y[1] (numeric) = 4.189933276116194 absolute error = 4.973799150320701e-14 relative error = 1.187083140123692e-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) = 4.221992638528455 y[1] (numeric) = 4.221992638528509 absolute error = 5.417888360170764e-14 relative error = 1.283253862341913e-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) = 4.254374202889622 y[1] (numeric) = 4.25437420288968 absolute error = 5.861977570020827e-14 relative error = 1.377870702120961e-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) = 4.287081207383066 y[1] (numeric) = 4.287081207383127 absolute error = 6.128431095930864e-14 relative error = 1.429511315385556e-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) = 4.32011692273649 y[1] (numeric) = 4.320116922736558 absolute error = 6.750155989720952e-14 relative error = 1.562493819136081e-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) = 4.353484652548962 y[1] (numeric) = 4.353484652549033 absolute error = 7.105427357601002e-14 relative error = 1.632124131514e-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) = 4.387187733621269 y[1] (numeric) = 4.387187733621345 absolute error = 7.549516567451064e-14 relative error = 1.720810009928512e-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) = 4.421229536289603 y[1] (numeric) = 4.421229536289683 absolute error = 7.993605777301127e-14 relative error = 1.808005151437929e-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) = 4.455613464762601 y[1] (numeric) = 4.455613464762685 absolute error = 8.348877145181177e-14 relative error = 1.873788471825173e-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) = 4.490342957461762 y[1] (numeric) = 4.49034295746185 absolute error = 8.79296635503124e-14 relative error = 1.958194827951761e-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) = 4.525421487365298 y[1] (numeric) = 4.525421487365391 absolute error = 9.325873406851315e-14 relative error = 2.060774545064717e-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) = 4.560852562355432 y[1] (numeric) = 4.560852562355529 absolute error = 9.681144774731365e-14 relative error = 2.122661200372498e-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) = 4.596639725569188 y[1] (numeric) = 4.59663972556929 absolute error = 1.012523398458143e-13 relative error = 2.202746917114034e-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) = 4.632786555752711 y[1] (numeric) = 4.632786555752818 absolute error = 1.074695887837152e-13 relative error = 2.319761281690519e-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) = 4.669296667619141 y[1] (numeric) = 4.669296667619253 absolute error = 1.119104808822158e-13 relative error = 2.396731003585569e-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) = 4.70617371221009 y[1] (numeric) = 4.706173712210206 absolute error = 1.163513729807164e-13 relative error = 2.472313605399747e-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) = 4.743421377260749 y[1] (numeric) = 4.743421377260869 absolute error = 1.20792265079217e-13 relative error = 2.546521918931281e-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) = 4.781043387568662 y[1] (numeric) = 4.781043387568787 absolute error = 1.252331571777177e-13 relative error = 2.619368765891986e-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) = 4.819043505366212 y[1] (numeric) = 4.819043505366341 absolute error = 1.296740492762183e-13 relative error = 2.690866955897382e-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) = 4.857425530696844 y[1] (numeric) = 4.857425530696979 absolute error = 1.35003119794419e-13 relative error = 2.779314246636563e-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) = 4.896193301795079 y[1] (numeric) = 4.896193301795219 absolute error = 1.403321903126198e-13 relative error = 2.866148896963895e-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) = 4.935350695470332 y[1] (numeric) = 4.935350695470477 absolute error = 1.456612608308205e-13 relative error = 2.951386230050654e-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) = 4.974901627494601 y[1] (numeric) = 4.97490162749475 absolute error = 1.49213974509621e-13 relative error = 2.99933517649808e-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) = 5.014850052994049 y[1] (numeric) = 5.014850052994205 absolute error = 1.554312234475219e-13 relative error = 3.099419161191545e-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) = 5.055199966844516 y[1] (numeric) = 5.055199966844677 absolute error = 1.616484723854228e-13 relative error = 3.197667222773082e-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) = 5.095955404071011 y[1] (numeric) = 5.095955404071178 absolute error = 1.669775429036235e-13 relative error = 3.276668056597003e-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) = 5.137120440251222 y[1] (numeric) = 5.137120440251392 absolute error = 1.70530256582424e-13 relative error = 3.319568979661387e-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) = 5.178699191923068 y[1] (numeric) = 5.178699191923246 absolute error = 1.77635683940025e-13 relative error = 3.430121684168751e-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) = 5.220695816996369 y[1] (numeric) = 5.220695816996551 absolute error = 1.820765760385257e-13 relative error = 3.487592122217917e-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) = 5.263114515168627 y[1] (numeric) = 5.263114515168817 absolute error = 1.900701818158268e-13 relative error = 3.611363219782366e-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) = 5.305959528345009 y[1] (numeric) = 5.305959528345205 absolute error = 1.953992523340276e-13 relative error = 3.682637443617571e-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) = 5.349235141062537 y[1] (numeric) = 5.349235141062739 absolute error = 2.016165012719284e-13 relative error = 3.769071576686768e-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) = 5.392945680918546 y[1] (numeric) = 5.392945680918754 absolute error = 2.087219286295294e-13 relative error = 3.870276857562919e-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) = 5.437095519003447 y[1] (numeric) = 5.437095519003662 absolute error = 2.149391775674303e-13 relative error = 3.953198482833092e-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) = 5.48168907033784 y[1] (numeric) = 5.481689070338063 absolute error = 2.229327833447314e-13 relative error = 4.066862977527326e-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) = 5.52673079431402 y[1] (numeric) = 5.526730794314251 absolute error = 2.300382107023324e-13 relative error = 4.162283622335994e-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) = 5.57222519514192 y[1] (numeric) = 5.572225195142158 absolute error = 2.380318164796336e-13 relative error = 4.271755145272284e-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) = 5.618176822299533 y[1] (numeric) = 5.618176822299779 absolute error = 2.451372438372346e-13 relative error = 4.363288155407314e-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) = 5.664590270987872 y[1] (numeric) = 5.664590270988125 absolute error = 2.531308496145357e-13 relative error = 4.468652409177533e-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) = 5.711470182590479 y[1] (numeric) = 5.71147018259074 absolute error = 2.611244553918368e-13 relative error = 4.57193064209261e-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) = 5.758821245137584 y[1] (numeric) = 5.758821245137853 absolute error = 2.691180611691379e-13 relative error = 4.673144897427849e-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) = 5.8066481937749 y[1] (numeric) = 5.806648193775178 absolute error = 2.779998453661392e-13 relative error = 4.787613027153477e-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) = 5.854955811237147 y[1] (numeric) = 5.854955811237434 absolute error = 2.868816295631405e-13 relative error = 4.899808620460324e-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) = 5.903748928326327 y[1] (numeric) = 5.903748928326622 absolute error = 2.948752353404416e-13 relative error = 4.994711647130236e-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) = 5.953032424394812 y[1] (numeric) = 5.953032424395114 absolute error = 3.019806626980426e-13 relative error = 5.072719937834743e-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) = 6.002811227833276 y[1] (numeric) = 6.002811227833587 absolute error = 3.108624468950438e-13 relative error = 5.178614404092299e-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) = 6.053090316563547 y[1] (numeric) = 6.053090316563869 absolute error = 3.215205879314453e-13 relative error = 5.311676699282733e-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) = 6.103874718536397 y[1] (numeric) = 6.103874718536726 absolute error = 3.295141937087465e-13 relative error = 5.398442938353071e-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) = 6.155169512234343 y[1] (numeric) = 6.155169512234682 absolute error = 3.392841563254478e-13 relative error = 5.512182169005558e-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) = 6.206979827179501 y[1] (numeric) = 6.20697982717985 absolute error = 3.490541189421492e-13 relative error = 5.623574244815325e-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) = 6.259310844446542 y[1] (numeric) = 6.2593108444469 absolute error = 3.579359031391505e-13 relative error = 5.718455466334964e-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) = 6.312167797180801 y[1] (numeric) = 6.31216779718117 absolute error = 3.68594044175552e-13 relative error = 5.839420877565658e-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) = 6.365555971121599 y[1] (numeric) = 6.365555971121976 absolute error = 3.774758283725532e-13 relative error = 5.929974225111443e-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) = 6.41948070513082 y[1] (numeric) = 6.419480705131207 absolute error = 3.863576125695545e-13 relative error = 6.018518168623127e-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) = 6.473947391726805 y[1] (numeric) = 6.473947391727202 absolute error = 3.97015753605956e-13 relative error = 6.132514362308703e-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) = 6.528961477623599 y[1] (numeric) = 6.528961477624005 absolute error = 4.058975378029572e-13 relative error = 6.216877510980432e-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) = 6.584528464275638 y[1] (numeric) = 6.584528464276054 absolute error = 4.156675004196586e-13 relative error = 6.312790698299245e-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) = 6.640653908427895 y[1] (numeric) = 6.640653908428322 absolute error = 4.272138198757602e-13 relative error = 6.433309516907177e-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) = 6.697343422671555 y[1] (numeric) = 6.697343422671993 absolute error = 4.378719609121617e-13 relative error = 6.537994743257404e-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) = 6.754602676005283 y[1] (numeric) = 6.754602676005733 absolute error = 4.503064587879635e-13 relative error = 6.666660947913486e-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) = 6.812437394402131 y[1] (numeric) = 6.812437394402592 absolute error = 4.618527782440651e-13 relative error = 6.779552625666338e-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) = 6.870853361382132 y[1] (numeric) = 6.870853361382605 absolute error = 4.733990977001667e-13 relative error = 6.889960719594493e-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) = 6.929856418590665 y[1] (numeric) = 6.92985641859115 absolute error = 4.849454171562684e-13 relative error = 6.997914355848839e-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) = 6.989452466382621 y[1] (numeric) = 6.989452466383118 absolute error = 4.9649173661237e-13 relative error = 7.103442494249173e-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) = 7.049647464412443 y[1] (numeric) = 7.04964746441295 absolute error = 5.071498776487715e-13 relative error = 7.193975020863546e-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) = 7.110447432230095 y[1] (numeric) = 7.110447432230615 absolute error = 5.204725539442734e-13 relative error = 7.319828448278595e-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) = 7.171858449883026 y[1] (numeric) = 7.171858449883559 absolute error = 5.329070518200751e-13 relative error = 7.430529416385329e-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) = 7.233886658524178 y[1] (numeric) = 7.233886658524724 absolute error = 5.453415496958769e-13 relative error = 7.538707411917549e-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) = 7.296538261026105 y[1] (numeric) = 7.296538261026662 absolute error = 5.577760475716786e-13 relative error = 7.644392828733542e-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) = 7.359819522601267 y[1] (numeric) = 7.359819522601836 absolute error = 5.693223670277803e-13 relative error = 7.735547934014529e-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) = 7.423736771428557 y[1] (numeric) = 7.423736771429139 absolute error = 5.81756864903582e-13 relative error = 7.836442519656229e-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) = 7.488296399286122 y[1] (numeric) = 7.488296399286716 absolute error = 5.941913627793838e-13 relative error = 7.934933809992211e-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) = 7.553504862190546 y[1] (numeric) = 7.553504862191152 absolute error = 6.066258606551855e-13 relative error = 8.031051435363234e-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) = 7.619368681042461 y[1] (numeric) = 7.619368681043082 absolute error = 6.208367153703875e-13 relative error = 8.148138531674862e-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) = 7.68589444227864 y[1] (numeric) = 7.685894442279273 absolute error = 6.332712132461893e-13 relative error = 8.239395141347311e-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) = 7.753088798530642 y[1] (numeric) = 7.753088798531291 absolute error = 6.483702463810914e-13 relative error = 8.36273468845049e-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) = 7.820958469290092 y[1] (numeric) = 7.820958469290755 absolute error = 6.625811010962934e-13 relative error = 8.471865739960078e-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) = 7.889510241580621 y[1] (numeric) = 7.889510241581298 absolute error = 6.767919558114954e-13 relative error = 8.578377302111262e-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) = 7.958750970636586 y[1] (numeric) = 7.958750970637277 absolute error = 6.918909889463976e-13 relative error = 8.693461970340506e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9499999999999 y[1] (closed_form) = 8.028687580588592 y[1] (numeric) = 8.028687580589297 absolute error = 7.052136652418994e-13 relative error = 8.783673024554275e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999899 y[1] (closed_form) = 8.099327065155917 y[1] (numeric) = 8.099327065156636 absolute error = 7.194245199571014e-13 relative error = 8.882522142513973e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999898 y[1] (closed_form) = 8.170676488345883 y[1] (numeric) = 8.170676488346617 absolute error = 7.336353746723034e-13 relative error = 8.978881684016163e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999897 y[1] (closed_form) = 8.242742985160266 y[1] (numeric) = 8.242742985161014 absolute error = 7.478462293875054e-13 relative error = 9.072783547101764e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999896 y[1] (closed_form) = 8.315533762308805 y[1] (numeric) = 8.31553376230957 absolute error = 7.65609797781508e-13 relative error = 9.206983215578174e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999895 y[1] (closed_form) = 8.389056098929872 y[1] (numeric) = 8.389056098930656 absolute error = 7.833733661755105e-13 relative error = 9.338039428243177e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.009999999999894 y[1] (closed_form) = 8.463317347318402 y[1] (numeric) = 8.463317347319199 absolute error = 7.975842208907125e-13 relative error = 9.424014108881628e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999893 y[1] (closed_form) = 8.538324933661112 y[1] (numeric) = 8.538324933661926 absolute error = 8.135714324453147e-13 relative error = 9.528466517336754e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999891 y[1] (closed_form) = 8.614086358779147 y[1] (numeric) = 8.614086358779979 absolute error = 8.313350008393172e-13 relative error = 9.650878412567253e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.03999999999989 y[1] (closed_form) = 8.690609198878155 y[1] (numeric) = 8.690609198879002 absolute error = 8.473222123939195e-13 relative error = 9.749859796978303e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999889 y[1] (closed_form) = 8.767901106305912 y[1] (numeric) = 8.767901106306775 absolute error = 8.633094239485217e-13 relative error = 9.846249558262307e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999888 y[1] (closed_form) = 8.845969810317571 y[1] (numeric) = 8.845969810318453 absolute error = 8.810729923425242e-13 relative error = 9.960162777346101e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999887 y[1] (closed_form) = 8.924823117848593 y[1] (numeric) = 8.924823117849494 absolute error = 9.00612917575927e-13 relative error = 1.009110103005635e-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) = 9.00446891429544 y[1] (numeric) = 9.004468914296361 absolute error = 9.201528428093297e-13 relative error = 1.021884634804503e-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) = 9.08491516430413 y[1] (numeric) = 9.084915164305068 absolute error = 9.379164112033322e-13 relative error = 1.032388739180013e-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) = 9.166169912566701 y[1] (numeric) = 9.166169912567659 absolute error = 9.57456336436735e-13 relative error = 1.044554427388559e-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) = 9.248241284625694 y[1] (numeric) = 9.248241284626673 absolute error = 9.78772618509538e-13 relative error = 1.058333783026025e-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) = 9.331137487686705 y[1] (numeric) = 9.331137487687704 absolute error = 9.983125437429408e-13 relative error = 1.0698722905544e-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) = 9.414866811439124 y[1] (numeric) = 9.414866811440143 absolute error = 1.019628825815744e-12 relative error = 1.082998672457998e-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) = 9.499437628885097 y[1] (numeric) = 9.499437628886136 absolute error = 1.039168751049147e-12 relative error = 1.093926600338244e-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) = 9.584858397176848 y[1] (numeric) = 9.584858397177907 absolute error = 1.058708676282549e-12 relative error = 1.104563711232692e-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) = 9.67113765846239 y[1] (numeric) = 9.67113765846347 absolute error = 1.080024958355352e-12 relative error = 1.116750682801329e-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) = 9.758284040739749 y[1] (numeric) = 9.758284040740849 absolute error = 1.099564883588755e-12 relative error = 1.126801473494924e-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) = 9.846306258719776 y[1] (numeric) = 9.846306258720896 absolute error = 1.119104808822158e-12 relative error = 1.136573227986984e-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) = 9.935213114697621 y[1] (numeric) = 9.935213114698765 absolute error = 1.143973804573761e-12 relative error = 1.151433584128586e-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) = 10.02501349943297 y[1] (numeric) = 10.02501349943413 absolute error = 1.161737372967764e-12 relative error = 1.158838711821658e-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) = 10.11571639303914 y[1] (numeric) = 10.11571639304032 absolute error = 1.183053655040567e-12 relative error = 1.169520386964045e-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) = 10.20733086588106 y[1] (numeric) = 10.20733086588226 absolute error = 1.20614629395277e-12 relative error = 1.181647102264927e-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) = 10.29986607948237 y[1] (numeric) = 10.2998660794836 absolute error = 1.229238932864973e-12 relative error = 1.193451374395685e-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) = 10.39333128744155 y[1] (numeric) = 10.3933312874428 absolute error = 1.250555214937776e-12 relative error = 1.203228474443844e-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) = 10.48773583635727 y[1] (numeric) = 10.48773583635854 absolute error = 1.27364785384998e-12 relative error = 1.214416413345094e-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) = 10.5830891667631 y[1] (numeric) = 10.58308916676439 absolute error = 1.298516849601583e-12 relative error = 1.22697336206867e-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) = 10.67940081407153 y[1] (numeric) = 10.67940081407286 absolute error = 1.321609488513786e-12 relative error = 1.237531497808744e-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) = 10.77668040952758 y[1] (numeric) = 10.77668040952892 absolute error = 1.34647848426539e-12 relative error = 1.249437148637144e-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) = 10.87493768117183 y[1] (numeric) = 10.8749376811732 absolute error = 1.369571123177593e-12 relative error = 1.259382962303114e-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) = 10.97418245481334 y[1] (numeric) = 10.97418245481474 absolute error = 1.394440118929197e-12 relative error = 1.270655125947525e-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) = 11.07442465501218 y[1] (numeric) = 11.0744246550136 absolute error = 1.4210854715202e-12 relative error = 1.283213815425644e-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) = 11.1756743060719 y[1] (numeric) = 11.17567430607335 absolute error = 1.449507180950604e-12 relative error = 1.297019885559e-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) = 11.27794153304199 y[1] (numeric) = 11.27794153304347 absolute error = 1.474376176702208e-12 relative error = 1.307309647228261e-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) = 11.38123656273036 y[1] (numeric) = 11.38123656273186 absolute error = 1.499245172453811e-12 relative error = 1.317295501407399e-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) = 11.48556972472607 y[1] (numeric) = 11.48556972472759 absolute error = 1.527666881884215e-12 relative error = 1.330074971026873e-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) = 11.59095145243225 y[1] (numeric) = 11.5909514524338 absolute error = 1.550759520796419e-12 relative error = 1.337905285136025e-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) = 11.69739228410949 y[1] (numeric) = 11.69739228411107 absolute error = 1.582733943905623e-12 relative error = 1.353065628187672e-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) = 11.80490286392967 y[1] (numeric) = 11.80490286393128 absolute error = 1.611155653336027e-12 relative error = 1.364819068743865e-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) = 11.91349394304036 y[1] (numeric) = 11.913493943042 absolute error = 1.639577362766431e-12 relative error = 1.376235528053667e-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) = 12.02317638063996 y[1] (numeric) = 12.02317638064162 absolute error = 1.667999072196835e-12 relative error = 1.387319805839905e-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) = 12.13396114506363 y[1] (numeric) = 12.13396114506532 absolute error = 1.694644424787839e-12 relative error = 1.396612700937532e-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) = 12.24585931488014 y[1] (numeric) = 12.24585931488187 absolute error = 1.723066134218243e-12 relative error = 1.407060206975036e-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) = 12.35888207999972 y[1] (numeric) = 12.35888208000148 absolute error = 1.755040557327447e-12 relative error = 1.420064165971464e-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) = 12.47304074279307 y[1] (numeric) = 12.47304074279485 absolute error = 1.781685909918451e-12 relative error = 1.428429479754494e-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) = 12.5883467192216 y[1] (numeric) = 12.58834671922341 absolute error = 1.815436689867056e-12 relative error = 1.442156567784236e-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) = 12.70481153997903 y[1] (numeric) = 12.70481153998088 absolute error = 1.84563475613686e-12 relative error = 1.452705339492117e-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) = 12.82244685164451 y[1] (numeric) = 12.82244685164638 absolute error = 1.877609179246065e-12 relative error = 1.464314261521199e-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) = 12.94126441784721 y[1] (numeric) = 12.94126441784913 absolute error = 1.911359959194669e-12 relative error = 1.4769499312283e-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) = 13.0612761204428 y[1] (numeric) = 13.06127612044474 absolute error = 1.945110739143274e-12 relative error = 1.489219522814385e-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) = 13.18249396070152 y[1] (numeric) = 13.1824939607035 absolute error = 1.977085162252479e-12 relative error = 1.499780821555003e-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) = 13.30493006050843 y[1] (numeric) = 13.30493006051044 absolute error = 2.012612299040484e-12 relative error = 1.512681607409799e-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) = 13.42859666357552 y[1] (numeric) = 13.42859666357757 absolute error = 2.046363078989089e-12 relative error = 1.523884535559667e-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) = 13.55350613666618 y[1] (numeric) = 13.55350613666826 absolute error = 2.081890215777094e-12 relative error = 1.53605288165619e-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) = 13.67967097083179 y[1] (numeric) = 13.6796709708339 absolute error = 2.115640995725698e-12 relative error = 1.546558393280608e-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) = 13.80710378266091 y[1] (numeric) = 13.80710378266306 absolute error = 2.149391775674303e-12 relative error = 1.556728919770654e-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) = 13.93581731554092 y[1] (numeric) = 13.9358173155431 absolute error = 2.188471626141109e-12 relative error = 1.570393452058656e-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) = 14.06582444093236 y[1] (numeric) = 14.06582444093458 absolute error = 2.220446049250313e-12 relative error = 1.578610666281805e-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) = 14.19713815965613 y[1] (numeric) = 14.19713815965838 absolute error = 2.259525899717119e-12 relative error = 1.591536177437501e-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) = 14.3297716031935 y[1] (numeric) = 14.3297716031958 absolute error = 2.295053036505124e-12 relative error = 1.601597778427712e-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) = 14.46373803499938 y[1] (numeric) = 14.46373803500172 absolute error = 2.332356530132529e-12 relative error = 1.612554461708783e-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) = 14.59905085182858 y[1] (numeric) = 14.59905085183095 absolute error = 2.371436380599334e-12 relative error = 1.624377094557694e-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) = 14.73572358507554 y[1] (numeric) = 14.73572358507795 absolute error = 2.40873987422674e-12 relative error = 1.634626124954142e-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) = 14.87376990212748 y[1] (numeric) = 14.87376990212993 absolute error = 2.447819724693545e-12 relative error = 1.645729186884503e-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) = 15.01320360773115 y[1] (numeric) = 15.01320360773364 absolute error = 2.488675931999751e-12 relative error = 1.657658150135385e-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) = 15.1540386453733 y[1] (numeric) = 15.15403864537583 absolute error = 2.531308496145357e-12 relative error = 1.670385403773663e-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) = 15.29628909867506 y[1] (numeric) = 15.29628909867763 absolute error = 2.572164703451563e-12 relative error = 1.68156125113663e-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) = 15.4399691928003 y[1] (numeric) = 15.43996919280291 absolute error = 2.614797267597169e-12 relative error = 1.693524925436028e-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) = 15.58509329587816 y[1] (numeric) = 15.58509329588082 absolute error = 2.659206188582175e-12 relative error = 1.706249772200891e-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) = 15.7316759204399 y[1] (numeric) = 15.7316759204426 absolute error = 2.701838752727781e-12 relative error = 1.717451316942861e-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) = 15.87973172487012 y[1] (numeric) = 15.87973172487287 absolute error = 2.748024030552187e-12 relative error = 1.730522957291751e-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) = 16.02927551487264 y[1] (numeric) = 16.02927551487543 absolute error = 2.788880237858393e-12 relative error = 1.739866680356671e-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) = 16.18032224495109 y[1] (numeric) = 16.18032224495393 absolute error = 2.8350655156828e-12 relative error = 1.752168759535956e-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) = 16.33288701990435 y[1] (numeric) = 16.33288701990723 absolute error = 2.881250793507206e-12 relative error = 1.764079302082921e-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) = 16.48698509633704 y[1] (numeric) = 16.48698509633996 absolute error = 2.920330643974012e-12 relative error = 1.771294525293669e-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) = 16.64263188418523 y[1] (numeric) = 16.6426318841882 absolute error = 2.966515921798418e-12 relative error = 1.782480044287568e-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) = 16.79984294825741 y[1] (numeric) = 16.79984294826043 absolute error = 3.012701199622825e-12 relative error = 1.79329128784226e-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) = 16.958634009791 y[1] (numeric) = 16.95863400979406 absolute error = 3.058886477447231e-12 relative error = 1.803734001029326e-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) = 17.11902094802446 y[1] (numeric) = 17.11902094802757 absolute error = 3.108624468950438e-12 relative error = 1.815889167019901e-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) = 17.2810198017853 y[1] (numeric) = 17.28101980178845 absolute error = 3.154809746774845e-12 relative error = 1.825592345220808e-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) = 17.44464677109387 y[1] (numeric) = 17.44464677109707 absolute error = 3.200995024599251e-12 relative error = 1.834944018415646e-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) = 17.60991821878347 y[1] (numeric) = 17.60991821878672 absolute error = 3.247180302423658e-12 relative error = 1.843949677722001e-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) = 17.77685067213659 y[1] (numeric) = 17.77685067213989 absolute error = 3.296918293926865e-12 relative error = 1.854613257844625e-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) = 17.94546082453768 y[1] (numeric) = 17.94546082454104 absolute error = 3.357314426466473e-12 relative error = 1.870843250721017e-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) = 18.11576553714249 y[1] (numeric) = 18.1157655371459 absolute error = 3.40705241796968e-12 relative error = 1.880711257266081e-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) = 18.2877818405642 y[1] (numeric) = 18.28778184056766 absolute error = 3.456790409472887e-12 relative error = 1.890218529294442e-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) = 18.4615269365765 y[1] (numeric) = 18.46152693658001 absolute error = 3.517186542012496e-12 relative error = 1.905143899578613e-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) = 18.63701819983378 y[1] (numeric) = 18.63701819983734 absolute error = 3.566924533515703e-12 relative error = 1.913892284307324e-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) = 18.8142731796086 y[1] (numeric) = 18.81427317961223 absolute error = 3.627320666055311e-12 relative error = 1.927962154810581e-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) = 18.99330960154666 y[1] (numeric) = 18.99330960155035 absolute error = 3.694822225952521e-12 relative error = 1.945328277938272e-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) = 19.17414536943935 y[1] (numeric) = 19.1741453694431 absolute error = 3.755218358492129e-12 relative error = 1.958480175328895e-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) = 19.35679856701415 y[1] (numeric) = 19.35679856701796 absolute error = 3.812061777352937e-12 relative error = 1.969365835034858e-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) = 19.54128745974304 y[1] (numeric) = 19.54128745974691 absolute error = 3.872457909892546e-12 relative error = 1.981680028949059e-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) = 19.72763049666903 y[1] (numeric) = 19.72763049667295 absolute error = 3.929301328753354e-12 relative error = 1.991775611073418e-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) = 19.91584631225109 y[1] (numeric) = 19.91584631225508 absolute error = 3.986144747614162e-12 relative error = 2.001494028984404e-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) = 20.10595372822764 y[1] (numeric) = 20.10595372823168 absolute error = 4.046540880153771e-12 relative error = 2.012608272579805e-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) = 20.29797175549869 y[1] (numeric) = 20.29797175550279 absolute error = 4.106937012693379e-12 relative error = 2.023323838541069e-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) = 20.49191959602699 y[1] (numeric) = 20.49191959603115 absolute error = 4.167333145232988e-12 relative error = 2.033647031311287e-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) = 20.6878166447582 y[1] (numeric) = 20.68781664476243 absolute error = 4.227729277772596e-12 relative error = 2.043584081572862e-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) = 20.88568249156047 y[1] (numeric) = 20.88568249156476 absolute error = 4.295230837669806e-12 relative error = 2.056543203414795e-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) = 21.08553692318334 y[1] (numeric) = 21.0855369231877 absolute error = 4.362732397567015e-12 relative error = 2.069063933947176e-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) = 21.28739992523654 y[1] (numeric) = 21.28739992524097 absolute error = 4.426681243785424e-12 relative error = 2.079484229794324e-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) = 21.49129168418848 y[1] (numeric) = 21.49129168419298 absolute error = 4.494182803682634e-12 relative error = 2.091164584113426e-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) = 21.69723258938498 y[1] (numeric) = 21.69723258938954 absolute error = 4.561684363579843e-12 relative error = 2.102426816317383e-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) = 21.90524323508816 y[1] (numeric) = 21.9052432350928 absolute error = 4.636291350834654e-12 relative error = 2.116521282634365e-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) = 22.11534442253595 y[1] (numeric) = 22.11534442254066 absolute error = 4.710898338089464e-12 relative error = 2.130149206850684e-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) = 22.32755716202217 y[1] (numeric) = 22.32755716202695 absolute error = 4.781952611665474e-12 relative error = 2.141726735694708e-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) = 22.54190267499761 y[1] (numeric) = 22.54190267500246 absolute error = 4.853006885241484e-12 relative error = 2.152882547321174e-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) = 22.7584023961922 y[1] (numeric) = 22.75840239619713 absolute error = 4.931166586175095e-12 relative error = 2.166745494842006e-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) = 22.97707797575847 y[1] (numeric) = 22.97707797576347 absolute error = 5.002220859751105e-12 relative error = 2.177048302237823e-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) = 23.19795128143661 y[1] (numeric) = 23.19795128144168 absolute error = 5.069722419648315e-12 relative error = 2.185418168243672e-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) = 23.42104440074124 y[1] (numeric) = 23.42104440074639 absolute error = 5.144329406903125e-12 relative error = 2.196456024284004e-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) = 23.64637964317022 y[1] (numeric) = 23.64637964317544 absolute error = 5.226041821515537e-12 relative error = 2.210081162688672e-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) = 23.87397954243556 y[1] (numeric) = 23.87397954244086 absolute error = 5.300648808770347e-12 relative error = 2.220261938043694e-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) = 24.10386685871685 y[1] (numeric) = 24.10386685872223 absolute error = 5.385913937061559e-12 relative error = 2.234460540555888e-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) = 24.3360645809373 y[1] (numeric) = 24.33606458094277 absolute error = 5.467626351673971e-12 relative error = 2.246717555128787e-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) = 24.57059592906263 y[1] (numeric) = 24.57059592906818 absolute error = 5.545786052607582e-12 relative error = 2.257082436510181e-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) = 24.8074843564231 y[1] (numeric) = 24.80748435642873 absolute error = 5.634603894577594e-12 relative error = 2.271332237328891e-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) = 25.04675355205884 y[1] (numeric) = 25.04675355206456 absolute error = 5.723421736547607e-12 relative error = 2.285095241845082e-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) = 25.28842744308882 y[1] (numeric) = 25.28842744309462 absolute error = 5.805134151160019e-12 relative error = 2.295569451372323e-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) = 25.53253019710353 y[1] (numeric) = 25.53253019710942 absolute error = 5.890399279451231e-12 relative error = 2.307017453413e-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) = 25.77908622458179 y[1] (numeric) = 25.77908622458776 absolute error = 5.979217121421243e-12 relative error = 2.319406153240501e-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) = 26.02812018133181 y[1] (numeric) = 26.02812018133788 absolute error = 6.071587677070056e-12 relative error = 2.332703105245684e-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) = 26.27965697095681 y[1] (numeric) = 26.27965697096297 absolute error = 6.163958232718869e-12 relative error = 2.345524616067486e-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) = 26.53372174734535 y[1] (numeric) = 26.5337217473516 absolute error = 6.249223361010081e-12 relative error = 2.35520045793625e-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) = 26.7903399171868 y[1] (numeric) = 26.79033991719314 absolute error = 6.341593916658894e-12 relative error = 2.367119617093986e-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) = 27.04953714251198 y[1] (numeric) = 27.04953714251842 absolute error = 6.433964472307707e-12 relative error = 2.378585791841838e-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) = 27.31133934325944 y[1] (numeric) = 27.31133934326597 absolute error = 6.52278231427772e-12 relative error = 2.388305543092148e-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) = 27.57577269986741 y[1] (numeric) = 27.57577269987404 absolute error = 6.625811010962934e-12 relative error = 2.402765312536389e-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) = 27.84286365589193 y[1] (numeric) = 27.84286365589865 absolute error = 6.721734280290548e-12 relative error = 2.41416772475849e-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) = 28.11263892065115 y[1] (numeric) = 28.11263892065797 absolute error = 6.821210263296962e-12 relative error = 2.426385613442428e-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) = 28.38512547189638 y[1] (numeric) = 28.3851254719033 absolute error = 6.917133532624575e-12 relative error = 2.436886720642862e-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) = 28.66035055850982 y[1] (numeric) = 28.66035055851684 absolute error = 7.016609515630989e-12 relative error = 2.448193891176122e-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) = 28.93834170322947 y[1] (numeric) = 28.93834170323659 absolute error = 7.116085498637403e-12 relative error = 2.459050892278067e-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) = 29.21912670540148 y[1] (numeric) = 29.2191267054087 absolute error = 7.219114195322618e-12 relative error = 2.470681026201952e-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) = 29.50273364376004 y[1] (numeric) = 29.50273364376736 absolute error = 7.318590178329032e-12 relative error = 2.480648155082723e-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) = 29.78919087923533 y[1] (numeric) = 29.78919087924276 absolute error = 7.428724302371847e-12 relative error = 2.493765048029575e-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) = 30.07852705778962 y[1] (numeric) = 30.07852705779716 absolute error = 7.535305712735862e-12 relative error = 2.505211009255321e-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) = 30.37077111328188 y[1] (numeric) = 30.37077111328952 absolute error = 7.641887123099877e-12 relative error = 2.516197924180428e-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) = 30.66595227036119 y[1] (numeric) = 30.66595227036894 absolute error = 7.748468533463893e-12 relative error = 2.526733383379335e-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) = 30.96410004738924 y[1] (numeric) = 30.9641000473971 absolute error = 7.858602657506708e-12 relative error = 2.53797224704721e-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) = 31.2652442593922 y[1] (numeric) = 31.26524425940016 absolute error = 7.965184067870723e-12 relative error = 2.547616133041389e-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) = 31.56941502104221 y[1] (numeric) = 31.5694150210503 absolute error = 8.08597633294994e-12 relative error = 2.561332329902322e-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) = 31.87664274966893 y[1] (numeric) = 31.87664274967713 absolute error = 8.199663170671556e-12 relative error = 2.572310777852137e-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) = 32.18695816830123 y[1] (numeric) = 32.18695816830956 absolute error = 8.327560863108374e-12 relative error = 2.587246927642149e-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) = 32.50039230873958 y[1] (numeric) = 32.50039230874804 absolute error = 8.455458555545192e-12 relative error = 2.601648150958307e-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) = 32.81697651465923 y[1] (numeric) = 32.81697651466779 absolute error = 8.562039965909207e-12 relative error = 2.609027666544654e-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) = 33.13674244474457 y[1] (numeric) = 33.13674244475324 absolute error = 8.668621376273222e-12 relative error = 2.616014954013094e-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) = 33.45972207585509 y[1] (numeric) = 33.45972207586389 absolute error = 8.79651906871004e-12 relative error = 2.628987487931858e-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) = 33.78594770622306 y[1] (numeric) = 33.78594770623198 absolute error = 8.924416761146858e-12 relative error = 2.641458170345497e-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) = 34.11545195868336 y[1] (numeric) = 34.11545195869241 absolute error = 9.052314453583676e-12 relative error = 2.653435300973524e-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) = 34.44826778393583 y[1] (numeric) = 34.44826778394501 absolute error = 9.187317573378095e-12 relative error = 2.666989710775064e-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) = 34.78442846384034 y[1] (numeric) = 34.78442846384966 absolute error = 9.322320693172514e-12 relative error = 2.680026984736403e-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) = 35.12396761474503 y[1] (numeric) = 35.12396761475447 absolute error = 9.443112958251731e-12 relative error = 2.68850975545471e-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) = 35.46691919084791 y[1] (numeric) = 35.4669191908575 absolute error = 9.585221505403752e-12 relative error = 2.702580806025345e-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) = 35.81331748759241 y[1] (numeric) = 35.81331748760213 absolute error = 9.720224625198171e-12 relative error = 2.714136892949322e-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) = 36.16319714509687 y[1] (numeric) = 36.16319714510672 absolute error = 9.85522774499259e-12 relative error = 2.725209196922124e-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) = 36.51659315161859 y[1] (numeric) = 36.51659315162858 absolute error = 9.990230864787009e-12 relative error = 2.735805835803769e-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) = 36.87354084705274 y[1] (numeric) = 36.87354084706288 absolute error = 1.013233941193903e-11 relative error = 2.747861794441391e-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) = 37.23407592646631 y[1] (numeric) = 37.23407592647659 absolute error = 1.027444795909105e-11 relative error = 2.759420692857287e-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) = 37.59823444366769 y[1] (numeric) = 37.59823444367811 absolute error = 1.042366193360067e-11 relative error = 2.772380694954741e-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) = 37.96605281481206 y[1] (numeric) = 37.96605281482262 absolute error = 1.056577048075269e-11 relative error = 2.782952057800058e-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) = 38.33756782204306 y[1] (numeric) = 38.33756782205378 absolute error = 1.071498445526231e-11 relative error = 2.794904597234644e-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) = 38.71281661717101 y[1] (numeric) = 38.71281661718187 absolute error = 1.086419842977193e-11 relative error = 2.806357010187973e-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) = 39.09183672538813 y[1] (numeric) = 39.09183672539913 absolute error = 1.100630697692395e-11 relative error = 2.815500088737433e-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) = 39.47466604902108 y[1] (numeric) = 39.47466604903224 absolute error = 1.116262637879117e-11 relative error = 2.827795012864458e-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) = 39.86134287132127 y[1] (numeric) = 39.86134287133258 absolute error = 1.131184035330079e-11 relative error = 2.837797108295425e-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) = 40.25190586029315 y[1] (numeric) = 40.25190586030462 absolute error = 1.147526518252562e-11 relative error = 2.850862570918784e-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) = 40.64639407256109 y[1] (numeric) = 40.64639407257273 absolute error = 1.163869001175044e-11 relative error = 2.8634003771585e-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) = 41.04484695727506 y[1] (numeric) = 41.04484695728686 absolute error = 1.180211484097526e-11 relative error = 2.87541938047923e-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) = 41.44730436005556 y[1] (numeric) = 41.44730436006753 absolute error = 1.196553967020009e-11 relative error = 2.886928318969704e-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) = 41.85380652697827 y[1] (numeric) = 41.8538065269904 absolute error = 1.212896449942491e-11 relative error = 2.897935816568268e-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) = 42.26439410859864 y[1] (numeric) = 42.26439410861094 absolute error = 1.229949475600733e-11 relative error = 2.910131569472805e-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) = 42.67910816401697 y[1] (numeric) = 42.67910816402944 absolute error = 1.247713043994736e-11 relative error = 2.923474968595269e-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) = 43.0979901649844 y[1] (numeric) = 43.09799016499705 absolute error = 1.264766069652978e-11 relative error = 2.934628888287594e-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) = 43.52108200005011 y[1] (numeric) = 43.52108200006293 absolute error = 1.281819095311221e-11 relative error = 2.945283151070887e-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) = 43.94842597875018 y[1] (numeric) = 43.94842597876318 absolute error = 1.299582663705223e-11 relative error = 2.957063045519751e-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) = 44.3800648358386 y[1] (numeric) = 44.38006483585176 absolute error = 1.316635689363466e-11 relative error = 2.966727728392663e-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) = 44.81604173556077 y[1] (numeric) = 44.81604173557412 absolute error = 1.335820343228988e-11 relative error = 2.980674534156902e-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) = 45.25640027596999 y[1] (numeric) = 45.25640027598353 absolute error = 1.354294454358751e-11 relative error = 2.992492655404251e-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) = 45.70118449328726 y[1] (numeric) = 45.70118449330098 absolute error = 1.372058022752753e-11 relative error = 3.002237333595338e-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) = 46.15043886630497 y[1] (numeric) = 46.15043886631888 absolute error = 1.391242676618276e-11 relative error = 3.014581682849479e-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) = 46.60420832083479 y[1] (numeric) = 46.6042083208489 absolute error = 1.410427330483799e-11 relative error = 3.026394785582606e-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) = 47.06253823420034 y[1] (numeric) = 47.06253823421464 absolute error = 1.429611984349322e-11 relative error = 3.037685679499587e-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) = 47.52547443977488 y[1] (numeric) = 47.52547443978937 absolute error = 1.448796638214844e-11 relative error = 3.048463282677556e-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) = 47.99306323156476 y[1] (numeric) = 47.99306323157944 absolute error = 1.467981292080367e-11 relative error = 3.058736394877341e-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) = 48.46535136883881 y[1] (numeric) = 48.46535136885369 absolute error = 1.48787648868165e-11 relative error = 3.069979782790334e-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) = 48.94238608080433 y[1] (numeric) = 48.9423860808194 absolute error = 1.507061142547172e-11 relative error = 3.079255555826397e-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) = 49.42421507133005 y[1] (numeric) = 49.42421507134533 absolute error = 1.527666881884215e-11 relative error = 3.090927958450033e-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) = 49.91088652371656 y[1] (numeric) = 49.91088652373203 absolute error = 1.547562078485498e-11 relative error = 3.100650351602412e-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) = 50.40244910551463 y[1] (numeric) = 50.40244910553033 absolute error = 1.569588903294061e-11 relative error = 3.114112371817919e-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) = 50.89895197339212 y[1] (numeric) = 50.89895197340802 absolute error = 1.590905185366864e-11 relative error = 3.12561481854975e-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) = 51.40044477804953 y[1] (numeric) = 51.40044477806564 absolute error = 1.611510924703907e-11 relative error = 3.13520813226912e-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) = 51.90697766918525 y[1] (numeric) = 51.90697766920159 absolute error = 1.63353774951247e-11 relative error = 3.147048475685429e-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) = 52.41860130051052 y[1] (numeric) = 52.41860130052707 absolute error = 1.655564574321033e-11 relative error = 3.158353205248362e-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) = 52.93536683481481 y[1] (numeric) = 52.93536683483159 absolute error = 1.677591399129597e-11 relative error = 3.169131526687124e-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) = 53.4573259490822 y[1] (numeric) = 53.45732594909921 absolute error = 1.70103930940968e-11 relative error = 3.182050877423068e-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) = 53.98453083965909 y[1] (numeric) = 53.98453083967632 absolute error = 1.723776676954003e-11 relative error = 3.193093743972396e-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) = 54.51703422747386 y[1] (numeric) = 54.51703422749133 absolute error = 1.747224587234086e-11 relative error = 3.204914962805465e-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) = 55.05488936330905 y[1] (numeric) = 55.05488936332677 absolute error = 1.77209358298569e-11 relative error = 3.218776031483027e-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) = 55.59815003312647 y[1] (numeric) = 55.59815003314443 absolute error = 1.796252036001533e-11 relative error = 3.230776626436835e-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) = 56.14687056344602 y[1] (numeric) = 56.146870563464 absolute error = 1.797673121473053e-11 relative error = 3.201733424201587e-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) = 56.70110582677783 y[1] (numeric) = 56.7011058267958 absolute error = 1.796252036001533e-11 relative error = 3.167931224285276e-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) = 57.26091124711007 y[1] (numeric) = 57.26091124712801 absolute error = 1.794120407794253e-11 relative error = 3.133237611346609e-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) = 57.82634280545126 y[1] (numeric) = 57.82634280546918 absolute error = 1.791988779586973e-11 relative error = 3.098914253692078e-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) = 58.39745704542845 y[1] (numeric) = 58.39745704544635 absolute error = 1.790567694115452e-11 relative error = 3.066174084810812e-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) = 58.97431107894155 y[1] (numeric) = 58.97431107895944 absolute error = 1.788436065908172e-11 relative error = 3.032567965930481e-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) = 59.55696259187465 y[1] (numeric) = 59.55696259189251 absolute error = 1.785593894965132e-11 relative error = 2.998127871633165e-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) = 60.14546984986457 y[1] (numeric) = 60.1454698498824 absolute error = 1.783462266757851e-11 relative error = 2.965247875209453e-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) = 60.73989170412753 y[1] (numeric) = 60.73989170414535 absolute error = 1.782041181286331e-11 relative error = 2.93388929629131e-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) = 61.34028759734431 y[1] (numeric) = 61.34028759736211 absolute error = 1.779909553079051e-11 relative error = 2.90169743703013e-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) = 61.94671756960458 y[1] (numeric) = 61.94671756962235 absolute error = 1.777067382136011e-11 relative error = 2.868703059430489e-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) = 62.55924226441092 y[1] (numeric) = 62.55924226442865 absolute error = 1.77280412572145e-11 relative error = 2.833800509009639e-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) = 63.17792293474324 y[1] (numeric) = 63.17792293476092 absolute error = 1.768540869306889e-11 relative error = 2.799302014302723e-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) = 63.80282144918414 y[1] (numeric) = 63.8028214492018 absolute error = 1.766409241099609e-11 relative error = 2.768544087829201e-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) = 64.43400029810581 y[1] (numeric) = 64.43400029812346 absolute error = 1.764988155628089e-11 relative error = 2.739218653913025e-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) = 65.07152259991916 y[1] (numeric) = 65.07152259993678 absolute error = 1.762145984685048e-11 relative error = 2.708014065567966e-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) = 65.71545210738562 y[1] (numeric) = 65.71545210740319 absolute error = 1.757882728270488e-11 relative error = 2.674991454670253e-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) = 66.36585321399254 y[1] (numeric) = 66.36585321401009 absolute error = 1.755040557327447e-11 relative error = 2.644493323499404e-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) = 67.02279096039258 y[1] (numeric) = 67.02279096041008 absolute error = 1.749356215441367e-11 relative error = 2.610091567919272e-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) = 67.68633104090786 y[1] (numeric) = 67.6863310409253 absolute error = 1.743671873555286e-11 relative error = 2.576106352258118e-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) = 68.35653981009935 y[1] (numeric) = 68.35653981011676 absolute error = 1.740829702612245e-11 relative error = 2.54669078839922e-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) = 69.03348428940249 y[1] (numeric) = 69.03348428941983 absolute error = 1.733724275254644e-11 relative error = 2.511425133905334e-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) = 69.71723217382934 y[1] (numeric) = 69.71723217384663 absolute error = 1.728039933368564e-11 relative error = 2.478641046821764e-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) = 70.40785183873813 y[1] (numeric) = 70.40785183875535 absolute error = 1.722355591482483e-11 relative error = 2.446254993587021e-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) = 71.10541234667086 y[1] (numeric) = 71.10541234668803 absolute error = 1.716671249596402e-11 relative error = 2.414262421019173e-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) = 71.80998345425964 y[1] (numeric) = 71.80998345427673 absolute error = 1.709565822238801e-11 relative error = 2.380679872078974e-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) = 72.52163561920236 y[1] (numeric) = 72.52163561921938 absolute error = 1.7024603948812e-11 relative error = 2.347520681718354e-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) = 73.24044000730856 y[1] (numeric) = 73.2404400073255 absolute error = 1.693933882052079e-11 relative error = 2.312839575899658e-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) = 73.96646849961608 y[1] (numeric) = 73.96646849963294 absolute error = 1.685407369222958e-11 relative error = 2.278610028856124e-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) = 74.69979369957916 y[1] (numeric) = 74.69979369959594 absolute error = 1.678301941865357e-11 relative error = 2.246729018576676e-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) = 75.44048894032889 y[1] (numeric) = 75.44048894034562 absolute error = 1.672617599979276e-11 relative error = 2.217135153116869e-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) = 76.18862829200661 y[1] (numeric) = 76.18862829202322 absolute error = 1.661248916207114e-11 relative error = 2.180442086239011e-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) = 76.94428656917094 y[1] (numeric) = 76.94428656918747 absolute error = 1.652722403377993e-11 relative error = 2.147946880880152e-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) = 77.7075393382793 y[1] (numeric) = 77.70753933829575 absolute error = 1.644195890548872e-11 relative error = 2.115876920759642e-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) = 78.47846292524466 y[1] (numeric) = 78.47846292526101 absolute error = 1.635669377719751e-11 relative error = 2.084227081865533e-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) = 79.25713442306815 y[1] (numeric) = 79.25713442308442 absolute error = 1.627142864890629e-11 relative error = 2.052992297456874e-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) = 80.04363169954846 y[1] (numeric) = 80.04363169956461 absolute error = 1.615774181118468e-11 relative error = 2.018616780387268e-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) = 80.83803340506863 y[1] (numeric) = 80.83803340508467 absolute error = 1.604405497346306e-11 relative error = 1.984716141357427e-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) = 81.64041898046122 y[1] (numeric) = 81.64041898047715 absolute error = 1.593036813574145e-11 relative error = 1.951284466038081e-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) = 82.45086866495245 y[1] (numeric) = 82.45086866496825 absolute error = 1.580247044330463e-11 relative error = 1.916592353625719e-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) = 83.26946350418612 y[1] (numeric) = 83.26946350420181 absolute error = 1.568878360558301e-11 relative error = 1.884098076937208e-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) = 84.09628535832833 y[1] (numeric) = 84.09628535834388 absolute error = 1.554667505843099e-11 relative error = 1.848675597523447e-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) = 84.93141691025353 y[1] (numeric) = 84.93141691026894 absolute error = 1.540456651127897e-11 relative error = 1.813765397032864e-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) = 85.77494167381282 y[1] (numeric) = 85.77494167382811 absolute error = 1.529087967355736e-11 relative error = 1.782674447241936e-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) = 86.62694400218552 y[1] (numeric) = 86.62694400220069 absolute error = 1.516298198112054e-11 relative error = 1.750377109082595e-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) = 87.48750909631448 y[1] (numeric) = 87.4875090963295 absolute error = 1.502087343396852e-11 relative error = 1.716916344872972e-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) = 88.35672301342625 y[1] (numeric) = 88.35672301344111 absolute error = 1.48645540321013e-11 relative error = 1.682334238430567e-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) = 89.23467267563686 y[1] (numeric) = 89.23467267565159 absolute error = 1.473665633966448e-11 relative error = 1.651449587676689e-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) = 90.12144587864418 y[1] (numeric) = 90.12144587865878 absolute error = 1.459454779251246e-11 relative error = 1.619431163162339e-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) = 91.0171313005075 y[1] (numeric) = 91.01713130052192 absolute error = 1.442401753593003e-11 relative error = 1.584758531699582e-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) = 91.92181851051539 y[1] (numeric) = 91.92181851052965 absolute error = 1.425348727934761e-11 relative error = 1.550609801928264e-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) = 92.83559797814279 y[1] (numeric) = 92.83559797815688 absolute error = 1.409716787748039e-11 relative error = 1.518508867772837e-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) = 93.75856108209793 y[1] (numeric) = 93.75856108211184 absolute error = 1.391242676618276e-11 relative error = 1.483856685257851e-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) = 94.69080011946033 y[1] (numeric) = 94.69080011947408 absolute error = 1.374189650960034e-11 relative error = 1.451238820694702e-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) = 95.63240831491061 y[1] (numeric) = 95.63240831492419 absolute error = 1.358557710773312e-11 relative error = 1.420603888066563e-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) = 96.58347983005299 y[1] (numeric) = 96.58347983006641 absolute error = 1.341504685115069e-11 relative error = 1.388958740641322e-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) = 97.54410977283156 y[1] (numeric) = 97.54410977284479 absolute error = 1.323030573985307e-11 relative error = 1.356340815520778e-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) = 98.51439420704111 y[1] (numeric) = 98.51439420705415 absolute error = 1.304556462855544e-11 relative error = 1.324229289898332e-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) = 99.49443016193362 y[1] (numeric) = 99.49443016194647 absolute error = 1.284661266254261e-11 relative error = 1.291189129043095e-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) = 100.4843156419213 y[1] (numeric) = 100.4843156419339 absolute error = 1.263344984181458e-11 relative error = 1.257255897212281e-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) = 101.4841496363771 y[1] (numeric) = 101.4841496363895 absolute error = 1.242028702108655e-11 relative error = 1.22386471834164e-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) = 102.4940321295336 y[1] (numeric) = 102.4940321295457 absolute error = 1.216449163621292e-11 relative error = 1.18684877387195e-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) = 103.5140641104816 y[1] (numeric) = 103.5140641104936 absolute error = 1.195132881548489e-11 relative error = 1.154560872301285e-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) = 104.5443475832694 y[1] (numeric) = 104.5443475832812 absolute error = 1.172395514004165e-11 relative error = 1.12143367011818e-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) = 105.5849855771028 y[1] (numeric) = 105.5849855771143 absolute error = 1.148237060988322e-11 relative error = 1.087500324702728e-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) = 106.6360821566483 y[1] (numeric) = 106.6360821566596 absolute error = 1.122657522500958e-11 relative error = 1.052793294535873e-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) = 107.6977424324399 y[1] (numeric) = 107.6977424324509 absolute error = 1.099920154956635e-11 relative error = 1.021302889098746e-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) = 108.7700725713898 y[1] (numeric) = 108.7700725714006 absolute error = 1.074340616469271e-11 relative error = 9.877171091930106e-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) = 109.8531798074056 y[1] (numeric) = 109.8531798074161 absolute error = 1.048761077981908e-11 relative error = 9.546934188164549e-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) = 110.9471724521134 y[1] (numeric) = 110.9471724521236 absolute error = 1.024602624966064e-11 relative error = 9.235049459311817e-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) = 112.0521599056893 y[1] (numeric) = 112.0521599056993 absolute error = 9.976020010071807e-12 relative error = 8.903014469750785e-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) = 113.1682526677996 y[1] (numeric) = 113.1682526678093 absolute error = 9.720224625198171e-12 relative error = 8.58917973553189e-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) = 114.2955623486506 y[1] (numeric) = 114.29556234866 absolute error = 9.421796676178928e-12 relative error = 8.243361756634437e-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) = 115.4342016801497 y[1] (numeric) = 115.4342016801588 absolute error = 9.15179043659009e-12 relative error = 7.928144608257688e-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) = 116.5842845271789 y[1] (numeric) = 116.5842845271878 absolute error = 8.881784197001252e-12 relative error = 7.618337439752155e-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) = 117.7459258989815 y[1] (numeric) = 117.7459258989901 absolute error = 8.569145393266808e-12 relative error = 7.277657658082021e-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) = 118.9192419606625 y[1] (numeric) = 118.9192419606708 absolute error = 8.270717444247566e-12 relative error = 6.954902594302987e-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) = 120.1043500448061 y[1] (numeric) = 120.104350044814 absolute error = 7.929656931082718e-12 relative error = 6.602306184683973e-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) = 121.301368663208 y[1] (numeric) = 121.3013686632156 absolute error = 7.617018127348274e-12 relative error = 6.279416474266541e-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) = 122.5104175187277 y[1] (numeric) = 122.510417518735 absolute error = 7.30437932361383e-12 relative error = 5.962251595867131e-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) = 123.7316175172584 y[1] (numeric) = 123.7316175172653 absolute error = 6.94910795573378e-12 relative error = 5.616275043656082e-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) = 124.9650907798174 y[1] (numeric) = 124.9650907798241 absolute error = 6.608047442568932e-12 relative error = 5.287914729892045e-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) = 126.2109606547591 y[1] (numeric) = 126.2109606547653 absolute error = 6.252776074688882e-12 relative error = 4.954225878838602e-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) = 127.469351730109 y[1] (numeric) = 127.4693517301149 absolute error = 5.869082997378428e-12 relative error = 4.604309128209141e-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) = 128.7403898460235 y[1] (numeric) = 128.740389846029 absolute error = 5.513811629498377e-12 relative error = 4.282891822910452e-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) = 130.0242021073732 y[1] (numeric) = 130.0242021073784 absolute error = 5.144329406903125e-12 relative error = 3.956439896208683e-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) = 131.3209168964542 y[1] (numeric) = 131.320916896459 absolute error = 4.774847184307873e-12 relative error = 3.63601419876836e-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) = 132.630663885826 y[1] (numeric) = 132.6306638858304 absolute error = 4.348521542851813e-12 relative error = 3.278669815447204e-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) = 133.953574051279 y[1] (numeric) = 133.953574051283 absolute error = 4.007461029686965e-12 relative error = 2.991679063488715e-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) = 135.2897796849321 y[1] (numeric) = 135.2897796849357 absolute error = 3.581135388230905e-12 relative error = 2.647011028158067e-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) = 136.6394144084622 y[1] (numeric) = 136.6394144084654 absolute error = 3.211653165635653e-12 relative error = 2.350458818591623e-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) = 138.0026131864664 y[1] (numeric) = 138.0026131864692 absolute error = 2.785327524179593e-12 relative error = 2.018315059306966e-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) = 139.3795123399585 y[1] (numeric) = 139.3795123399609 absolute error = 2.330580173293129e-12 relative error = 1.672111011271617e-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) = 140.7702495600013 y[1] (numeric) = 140.7702495600031 absolute error = 1.84741111297626e-12 relative error = 1.312359052250474e-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) = 142.1749639214756 y[1] (numeric) = 142.174963921477 absolute error = 1.392663762089796e-12 relative error = 9.795421948262114e-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) = 143.5937958969883 y[1] (numeric) = 143.5937958969893 absolute error = 9.379164112033322e-13 relative error = 6.531733528906619e-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) = 145.0268873709193 y[1] (numeric) = 145.0268873709197 absolute error = 4.263256414560601e-13 relative error = 2.93963174129011e-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) = 146.4743816536102 y[1] (numeric) = 146.4743816536102 absolute error = 2.842170943040401e-14 relative error = 1.940387739449009e-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) = 147.9364234956955 y[1] (numeric) = 147.936423495695 absolute error = 4.831690603168681e-13 relative error = 3.266058817022348e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 Finished! diff ( y , x , 2 ) = diff ( y , x , 1 ) ; 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 %