##############ECHO OF PROBLEM################# ##############temp/diff_Apostode.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(-1.0); 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 Finished! diff ( y , x , 2 ) = diff ( y , x , 1 ) ; Iterations = 4000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %