##############ECHO OF PROBLEM################# ##############temp/add_lin_cpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + 0.3 ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(-5.0); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=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(0.05) * c(x) * c(x) + c(0.5) * 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) = -1.25 y[1] (numeric) = -1.25 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) = -1.249995 y[1] (numeric) = -1.249995 absolute error = 0 relative error = 0 % 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) = -1.24998 y[1] (numeric) = -1.24998 absolute error = 0 relative error = 0 % 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) = -1.249955 y[1] (numeric) = -1.249955 absolute error = 0 relative error = 0 % 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) = -1.24992 y[1] (numeric) = -1.24992 absolute error = 2.220446049250313e-16 relative error = 1.776470533514396e-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) = -1.249875 y[1] (numeric) = -1.249875 absolute error = 2.220446049250313e-16 relative error = 1.776534492849536e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.93999999999998 y[1] (closed_form) = -1.24982 y[1] (numeric) = -1.24982 absolute error = 2.220446049250313e-16 relative error = 1.776612671624964e-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) = -1.249755 y[1] (numeric) = -1.249755 absolute error = 4.440892098500626e-16 relative error = 3.553410147189351e-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) = -1.24968 y[1] (numeric) = -1.24968 absolute error = 4.440892098500626e-16 relative error = 3.553623406392538e-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) = -1.249595 y[1] (numeric) = -1.249595 absolute error = 2.220446049250313e-16 relative error = 1.776932565551489e-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) = -1.2495 y[1] (numeric) = -1.2495 absolute error = 4.440892098500626e-16 relative error = 3.554135332933676e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.889999999999963 y[1] (closed_form) = -1.249395 y[1] (numeric) = -1.249395 absolute error = 2.220446049250313e-16 relative error = 1.777217012434269e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.87999999999996 y[1] (closed_form) = -1.24928 y[1] (numeric) = -1.24928 absolute error = 4.440892098500626e-16 relative error = 3.554761221263951e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.869999999999957 y[1] (closed_form) = -1.249154999999999 y[1] (numeric) = -1.249155 absolute error = 4.440892098500626e-16 relative error = 3.55511693785049e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.859999999999953 y[1] (closed_form) = -1.249019999999999 y[1] (numeric) = -1.24902 absolute error = 4.440892098500626e-16 relative error = 3.555501191734823e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.84999999999995 y[1] (closed_form) = -1.248874999999999 y[1] (numeric) = -1.248875 absolute error = 4.440892098500626e-16 relative error = 3.555914001401765e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.839999999999947 y[1] (closed_form) = -1.248719999999999 y[1] (numeric) = -1.24872 absolute error = 4.440892098500626e-16 relative error = 3.556355386716501e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.829999999999943 y[1] (closed_form) = -1.248554999999999 y[1] (numeric) = -1.248555 absolute error = 6.661338147750939e-16 relative error = 5.335238053390475e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.81999999999994 y[1] (closed_form) = -1.248379999999999 y[1] (numeric) = -1.24838 absolute error = 6.661338147750939e-16 relative error = 5.335985955999732e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.809999999999937 y[1] (closed_form) = -1.248194999999999 y[1] (numeric) = -1.248194999999999 absolute error = 6.661338147750939e-16 relative error = 5.336776823934518e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.799999999999933 y[1] (closed_form) = -1.247999999999999 y[1] (numeric) = -1.248 absolute error = 8.881784197001252e-16 relative error = 7.116814260417677e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.78999999999993 y[1] (closed_form) = -1.247794999999998 y[1] (numeric) = -1.247795 absolute error = 1.110223024625157e-15 relative error = 8.897479350575679e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.779999999999927 y[1] (closed_form) = -1.247579999999998 y[1] (numeric) = -1.247579999999999 absolute error = 1.110223024625157e-15 relative error = 8.899012685560509e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.769999999999923 y[1] (closed_form) = -1.247354999999998 y[1] (numeric) = -1.247354999999999 absolute error = 1.110223024625157e-15 relative error = 8.90061790448716e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.75999999999992 y[1] (closed_form) = -1.247119999999998 y[1] (numeric) = -1.247119999999999 absolute error = 1.110223024625157e-15 relative error = 8.902295084876822e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.749999999999917 y[1] (closed_form) = -1.246874999999998 y[1] (numeric) = -1.246874999999999 absolute error = 1.110223024625157e-15 relative error = 8.904044307770693e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.739999999999913 y[1] (closed_form) = -1.246619999999998 y[1] (numeric) = -1.246619999999999 absolute error = 1.110223024625157e-15 relative error = 8.905865657739796e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.72999999999991 y[1] (closed_form) = -1.246354999999998 y[1] (numeric) = -1.246354999999999 absolute error = 1.110223024625157e-15 relative error = 8.907759222895231e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.719999999999906 y[1] (closed_form) = -1.246079999999997 y[1] (numeric) = -1.246079999999999 absolute error = 1.332267629550188e-15 relative error = 1.069167011387865e-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) = -1.245794999999997 y[1] (numeric) = -1.245794999999999 absolute error = 1.554312234475219e-15 relative error = 1.247646871656431e-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) = -1.245499999999997 y[1] (numeric) = -1.245499999999998 absolute error = 1.554312234475219e-15 relative error = 1.247942380148714e-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) = -1.245194999999997 y[1] (numeric) = -1.245194999999998 absolute error = 1.77635683940025e-15 relative error = 1.426569203538607e-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) = -1.244879999999997 y[1] (numeric) = -1.244879999999998 absolute error = 1.554312234475219e-15 relative error = 1.248563905336437e-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) = -1.244554999999996 y[1] (numeric) = -1.244554999999998 absolute error = 1.998401444325282e-15 relative error = 1.605715652844019e-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) = -1.244219999999996 y[1] (numeric) = -1.244219999999998 absolute error = 1.998401444325282e-15 relative error = 1.60614798373703e-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) = -1.243874999999996 y[1] (numeric) = -1.243874999999998 absolute error = 2.220446049250313e-15 relative error = 1.785103848256714e-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) = -1.243519999999996 y[1] (numeric) = -1.243519999999998 absolute error = 2.220446049250313e-15 relative error = 1.785613459574692e-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) = -1.243154999999995 y[1] (numeric) = -1.243154999999998 absolute error = 2.664535259100376e-15 relative error = 2.143365275529106e-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) = -1.242779999999995 y[1] (numeric) = -1.242779999999998 absolute error = 2.664535259100376e-15 relative error = 2.144012020711941e-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) = -1.242394999999995 y[1] (numeric) = -1.242394999999998 absolute error = 2.664535259100376e-15 relative error = 2.144676418611139e-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) = -1.241999999999995 y[1] (numeric) = -1.241999999999997 absolute error = 2.664535259100376e-15 relative error = 2.145358501691133e-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) = -1.241594999999994 y[1] (numeric) = -1.241594999999997 absolute error = 2.886579864025407e-15 relative error = 2.324896495254427e-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) = -1.241179999999994 y[1] (numeric) = -1.241179999999997 absolute error = 2.886579864025407e-15 relative error = 2.325673845876844e-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) = -1.240754999999994 y[1] (numeric) = -1.240754999999997 absolute error = 3.108624468950438e-15 relative error = 2.505429733469101e-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) = -1.240319999999993 y[1] (numeric) = -1.240319999999997 absolute error = 3.33066907387547e-15 relative error = 2.685330458168446e-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) = -1.239874999999993 y[1] (numeric) = -1.239874999999997 absolute error = 3.552713678800501e-15 relative error = 2.865380525295308e-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) = -1.239419999999993 y[1] (numeric) = -1.239419999999996 absolute error = 3.552713678800501e-15 relative error = 2.86643242710342e-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) = -1.238954999999993 y[1] (numeric) = -1.238954999999996 absolute error = 3.774758283725532e-15 relative error = 3.046727511270026e-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) = -1.238479999999992 y[1] (numeric) = -1.238479999999996 absolute error = 3.996802888650564e-15 relative error = 3.227184039024117e-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) = -1.237994999999992 y[1] (numeric) = -1.237994999999996 absolute error = 4.218847493575595e-15 relative error = 3.40780656915062e-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) = -1.237499999999992 y[1] (numeric) = -1.237499999999996 absolute error = 4.440892098500626e-15 relative error = 3.588599675556086e-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) = -1.236994999999991 y[1] (numeric) = -1.236994999999996 absolute error = 4.440892098500626e-15 relative error = 3.590064712064848e-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) = -1.236479999999991 y[1] (numeric) = -1.236479999999996 absolute error = 4.662936703425657e-15 relative error = 3.771137991253956e-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) = -1.235954999999991 y[1] (numeric) = -1.235954999999995 absolute error = 4.884981308350689e-15 relative error = 3.952394147319867e-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) = -1.23541999999999 y[1] (numeric) = -1.235419999999995 absolute error = 4.884981308350689e-15 relative error = 3.954105735985112e-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) = -1.23487499999999 y[1] (numeric) = -1.234874999999995 absolute error = 5.10702591327572e-15 relative error = 4.135662243770229e-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) = -1.23431999999999 y[1] (numeric) = -1.234319999999995 absolute error = 5.10702591327572e-15 relative error = 4.137521804131638e-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) = -1.233754999999989 y[1] (numeric) = -1.233754999999995 absolute error = 5.329070518200751e-15 relative error = 4.31939122289336e-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) = -1.233179999999989 y[1] (numeric) = -1.233179999999994 absolute error = 5.551115123125783e-15 relative error = 4.501463795330635e-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) = -1.232594999999988 y[1] (numeric) = -1.232594999999994 absolute error = 5.773159728050814e-15 relative error = 4.683744237199461e-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) = -1.231999999999988 y[1] (numeric) = -1.231999999999994 absolute error = 5.995204332975845e-15 relative error = 4.866237283259662e-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) = -1.231394999999988 y[1] (numeric) = -1.231394999999994 absolute error = 6.217248937900877e-15 relative error = 5.048947687704546e-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) = -1.230779999999987 y[1] (numeric) = -1.230779999999994 absolute error = 6.217248937900877e-15 relative error = 5.0514705616771e-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) = -1.230154999999987 y[1] (numeric) = -1.230154999999993 absolute error = 6.661338147750939e-15 relative error = 5.415039688292135e-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) = -1.229519999999986 y[1] (numeric) = -1.229519999999993 absolute error = 7.105427357601002e-15 relative error = 5.779025438871333e-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) = -1.228874999999986 y[1] (numeric) = -1.228874999999993 absolute error = 7.327471962526033e-15 relative error = 5.962748011413788e-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) = -1.228219999999985 y[1] (numeric) = -1.228219999999993 absolute error = 7.549516567451064e-15 relative error = 6.146713591580624e-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) = -1.227554999999985 y[1] (numeric) = -1.227554999999993 absolute error = 7.549516567451064e-15 relative error = 6.150043433859303e-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) = -1.226879999999984 y[1] (numeric) = -1.226879999999992 absolute error = 7.993605777301127e-15 relative error = 6.515393337002175e-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) = -1.226194999999984 y[1] (numeric) = -1.226194999999992 absolute error = 7.993605777301127e-15 relative error = 6.519033087968252e-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) = -1.225499999999984 y[1] (numeric) = -1.225499999999992 absolute error = 8.215650382226158e-15 relative error = 6.70391708055999e-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) = -1.224794999999983 y[1] (numeric) = -1.224794999999992 absolute error = 8.43769498715119e-15 relative error = 6.889067139522373e-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) = -1.224079999999983 y[1] (numeric) = -1.224079999999991 absolute error = 8.659739592076221e-15 relative error = 7.074488262267452e-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) = -1.223354999999982 y[1] (numeric) = -1.223354999999991 absolute error = 8.881784197001252e-15 relative error = 7.260185471103139e-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) = -1.222619999999982 y[1] (numeric) = -1.222619999999991 absolute error = 9.103828801926284e-15 relative error = 7.446163813716788e-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) = -1.221874999999981 y[1] (numeric) = -1.22187499999999 absolute error = 9.325873406851315e-15 relative error = 7.632428363663598e-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) = -1.221119999999981 y[1] (numeric) = -1.22111999999999 absolute error = 9.769962616701378e-15 relative error = 8.000821063205527e-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) = -1.22035499999998 y[1] (numeric) = -1.22035499999999 absolute error = 9.992007221626409e-15 relative error = 8.1877873419018e-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) = -1.21957999999998 y[1] (numeric) = -1.21957999999999 absolute error = 1.021405182655144e-14 relative error = 8.37505684461176e-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) = -1.218794999999979 y[1] (numeric) = -1.21879499999999 absolute error = 1.043609643147647e-14 relative error = 8.562634759312805e-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) = -1.217999999999979 y[1] (numeric) = -1.21799999999999 absolute error = 1.088018564132653e-14 relative error = 8.932828933765784e-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) = -1.217194999999978 y[1] (numeric) = -1.217194999999989 absolute error = 1.110223024625157e-14 relative error = 9.121159917886423e-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) = -1.216379999999978 y[1] (numeric) = -1.216379999999989 absolute error = 1.13242748511766e-14 relative error = 9.309816711206042e-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) = -1.215554999999977 y[1] (numeric) = -1.215554999999988 absolute error = 1.13242748511766e-14 relative error = 9.316135305417534e-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) = -1.214719999999976 y[1] (numeric) = -1.214719999999988 absolute error = 1.176836406102666e-14 relative error = 9.688129001767392e-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) = -1.213874999999976 y[1] (numeric) = -1.213874999999988 absolute error = 1.199040866595169e-14 relative error = 9.877795214459421e-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) = -1.213019999999975 y[1] (numeric) = -1.213019999999988 absolute error = 1.221245327087672e-14 relative error = 1.006780866834592e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.129999999999709 y[1] (closed_form) = -1.212154999999975 y[1] (numeric) = -1.212154999999987 absolute error = 1.243449787580175e-14 relative error = 1.025817480091408e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.119999999999706 y[1] (closed_form) = -1.211279999999974 y[1] (numeric) = -1.211279999999987 absolute error = 1.287858708565182e-14 relative error = 1.063221310155546e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.109999999999703 y[1] (closed_form) = -1.210394999999973 y[1] (numeric) = -1.210394999999987 absolute error = 1.310063169057685e-14 relative error = 1.082343506919405e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.099999999999699 y[1] (closed_form) = -1.209499999999973 y[1] (numeric) = -1.209499999999986 absolute error = 1.354472090042691e-14 relative error = 1.11986117407418e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.089999999999696 y[1] (closed_form) = -1.208594999999972 y[1] (numeric) = -1.208594999999986 absolute error = 1.376676550535194e-14 relative error = 1.139071856606411e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.079999999999693 y[1] (closed_form) = -1.207679999999972 y[1] (numeric) = -1.207679999999986 absolute error = 1.398881011027697e-14 relative error = 1.158320921955924e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.069999999999689 y[1] (closed_form) = -1.206754999999971 y[1] (numeric) = -1.206754999999986 absolute error = 1.443289932012704e-14 relative error = 1.196009075589277e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.059999999999686 y[1] (closed_form) = -1.20581999999997 y[1] (numeric) = -1.205819999999985 absolute error = 1.48769885299771e-14 relative error = 1.233765282544448e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.049999999999683 y[1] (closed_form) = -1.20487499999997 y[1] (numeric) = -1.204874999999985 absolute error = 1.532107773982716e-14 relative error = 1.271590641338524e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.039999999999679 y[1] (closed_form) = -1.203919999999969 y[1] (numeric) = -1.203919999999985 absolute error = 1.554312234475219e-14 relative error = 1.291042788952139e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.029999999999676 y[1] (closed_form) = -1.202954999999969 y[1] (numeric) = -1.202954999999984 absolute error = 1.554312234475219e-14 relative error = 1.292078452207489e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.019999999999673 y[1] (closed_form) = -1.201979999999968 y[1] (numeric) = -1.201979999999984 absolute error = 1.620925615952729e-14 relative error = 1.348546245322528e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.009999999999669 y[1] (closed_form) = -1.200994999999967 y[1] (numeric) = -1.200994999999984 absolute error = 1.620925615952729e-14 relative error = 1.349652259961759e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.999999999999666 y[1] (closed_form) = -1.199999999999967 y[1] (numeric) = -1.199999999999983 absolute error = 1.665334536937735e-14 relative error = 1.387778780781484e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.989999999999668 y[1] (closed_form) = -1.198994999999966 y[1] (numeric) = -1.198994999999983 absolute error = 1.665334536937735e-14 relative error = 1.388942019723003e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.979999999999669 y[1] (closed_form) = -1.197979999999966 y[1] (numeric) = -1.197979999999983 absolute error = 1.643130076445232e-14 relative error = 1.371583896597004e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.96999999999967 y[1] (closed_form) = -1.196954999999966 y[1] (numeric) = -1.196954999999982 absolute error = 1.620925615952729e-14 relative error = 1.354207648535471e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.959999999999671 y[1] (closed_form) = -1.195919999999966 y[1] (numeric) = -1.195919999999982 absolute error = 1.598721155460225e-14 relative error = 1.336812793046584e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.949999999999672 y[1] (closed_form) = -1.194874999999965 y[1] (numeric) = -1.194874999999981 absolute error = 1.598721155460225e-14 relative error = 1.337981927365014e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.939999999999673 y[1] (closed_form) = -1.193819999999965 y[1] (numeric) = -1.193819999999981 absolute error = 1.576516694967722e-14 relative error = 1.32056482130285e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.929999999999674 y[1] (closed_form) = -1.192754999999965 y[1] (numeric) = -1.192754999999981 absolute error = 1.576516694967722e-14 relative error = 1.321743941520068e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.919999999999675 y[1] (closed_form) = -1.191679999999965 y[1] (numeric) = -1.191679999999981 absolute error = 1.576516694967722e-14 relative error = 1.322936270616079e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.909999999999676 y[1] (closed_form) = -1.190594999999965 y[1] (numeric) = -1.19059499999998 absolute error = 1.576516694967722e-14 relative error = 1.32414187441386e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.899999999999678 y[1] (closed_form) = -1.189499999999964 y[1] (numeric) = -1.18949999999998 absolute error = 1.532107773982716e-14 relative error = 1.2880267120494e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.889999999999679 y[1] (closed_form) = -1.188394999999964 y[1] (numeric) = -1.18839499999998 absolute error = 1.532107773982716e-14 relative error = 1.289224352157963e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.87999999999968 y[1] (closed_form) = -1.187279999999964 y[1] (numeric) = -1.187279999999979 absolute error = 1.509903313490213e-14 relative error = 1.271733132445808e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.869999999999681 y[1] (closed_form) = -1.186154999999964 y[1] (numeric) = -1.186154999999979 absolute error = 1.509903313490213e-14 relative error = 1.272939298397139e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.859999999999682 y[1] (closed_form) = -1.185019999999964 y[1] (numeric) = -1.185019999999979 absolute error = 1.48769885299771e-14 relative error = 1.255420881502215e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.849999999999683 y[1] (closed_form) = -1.183874999999964 y[1] (numeric) = -1.183874999999978 absolute error = 1.48769885299771e-14 relative error = 1.256635078025767e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.839999999999684 y[1] (closed_form) = -1.182719999999963 y[1] (numeric) = -1.182719999999978 absolute error = 1.465494392505207e-14 relative error = 1.239088197126329e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.829999999999685 y[1] (closed_form) = -1.181554999999963 y[1] (numeric) = -1.181554999999978 absolute error = 1.48769885299771e-14 relative error = 1.259102498823801e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.819999999999686 y[1] (closed_form) = -1.180379999999963 y[1] (numeric) = -1.180379999999978 absolute error = 1.443289932012704e-14 relative error = 1.222733299456742e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.809999999999687 y[1] (closed_form) = -1.179194999999963 y[1] (numeric) = -1.179194999999977 absolute error = 1.465494392505207e-14 relative error = 1.242792237505462e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.799999999999689 y[1] (closed_form) = -1.177999999999963 y[1] (numeric) = -1.177999999999977 absolute error = 1.443289932012704e-14 relative error = 1.225203677430178e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.78999999999969 y[1] (closed_form) = -1.176794999999963 y[1] (numeric) = -1.176794999999977 absolute error = 1.4210854715202e-14 relative error = 1.207589657944031e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.779999999999691 y[1] (closed_form) = -1.175579999999962 y[1] (numeric) = -1.175579999999977 absolute error = 1.4210854715202e-14 relative error = 1.208837740962117e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.769999999999692 y[1] (closed_form) = -1.174354999999962 y[1] (numeric) = -1.174354999999976 absolute error = 1.4210854715202e-14 relative error = 1.210098710798903e-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) = -1.173119999999962 y[1] (numeric) = -1.173119999999976 absolute error = 1.398881011027697e-14 relative error = 1.192444942570021e-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) = -1.171874999999962 y[1] (numeric) = -1.171874999999976 absolute error = 1.376676550535194e-14 relative error = 1.174763989790071e-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) = -1.170619999999962 y[1] (numeric) = -1.170619999999975 absolute error = 1.354472090042691e-14 relative error = 1.157055312605914e-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) = -1.169354999999961 y[1] (numeric) = -1.169354999999975 absolute error = 1.354472090042691e-14 relative error = 1.158307006890752e-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) = -1.168079999999961 y[1] (numeric) = -1.168079999999974 absolute error = 1.332267629550188e-14 relative error = 1.140561973109917e-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) = -1.166794999999961 y[1] (numeric) = -1.166794999999974 absolute error = 1.310063169057685e-14 relative error = 1.122787781107846e-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) = -1.165499999999961 y[1] (numeric) = -1.165499999999974 absolute error = 1.287858708565182e-14 relative error = 1.10498387693284e-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) = -1.164194999999961 y[1] (numeric) = -1.164194999999973 absolute error = 1.265654248072678e-14 relative error = 1.087149702646654e-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) = -1.162879999999961 y[1] (numeric) = -1.162879999999973 absolute error = 1.243449787580175e-14 relative error = 1.069284696254315e-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) = -1.16155499999996 y[1] (numeric) = -1.161554999999973 absolute error = 1.243449787580175e-14 relative error = 1.070504442389915e-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) = -1.16021999999996 y[1] (numeric) = -1.160219999999972 absolute error = 1.221245327087672e-14 relative error = 1.052598065097752e-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) = -1.15887499999996 y[1] (numeric) = -1.158874999999972 absolute error = 1.199040866595169e-14 relative error = 1.034659360668934e-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) = -1.15751999999996 y[1] (numeric) = -1.157519999999972 absolute error = 1.199040866595169e-14 relative error = 1.035870539252203e-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) = -1.15615499999996 y[1] (numeric) = -1.156154999999971 absolute error = 1.154631945610163e-14 relative error = 9.986826555351167e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.619999999999708 y[1] (closed_form) = -1.15477999999996 y[1] (numeric) = -1.154779999999971 absolute error = 1.154631945610163e-14 relative error = 9.998717899601683e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.609999999999709 y[1] (closed_form) = -1.15339499999996 y[1] (numeric) = -1.153394999999971 absolute error = 1.110223024625157e-14 relative error = 9.625696527427249e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.599999999999711 y[1] (closed_form) = -1.15199999999996 y[1] (numeric) = -1.151999999999971 absolute error = 1.110223024625157e-14 relative error = 9.637352644315933e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.589999999999712 y[1] (closed_form) = -1.150594999999959 y[1] (numeric) = -1.15059499999997 absolute error = 1.110223024625157e-14 relative error = 9.649120886369191e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.579999999999713 y[1] (closed_form) = -1.149179999999959 y[1] (numeric) = -1.14917999999997 absolute error = 1.088018564132653e-14 relative error = 9.467781932618842e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.569999999999714 y[1] (closed_form) = -1.147754999999959 y[1] (numeric) = -1.14775499999997 absolute error = 1.043609643147647e-14 relative error = 9.092616831533596e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.559999999999715 y[1] (closed_form) = -1.146319999999959 y[1] (numeric) = -1.14631999999997 absolute error = 1.06581410364015e-14 relative error = 9.297701371695412e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.549999999999716 y[1] (closed_form) = -1.144874999999959 y[1] (numeric) = -1.144874999999969 absolute error = 1.043609643147647e-14 relative error = 9.115489840792092e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.539999999999717 y[1] (closed_form) = -1.143419999999959 y[1] (numeric) = -1.143419999999969 absolute error = 1.043609643147647e-14 relative error = 9.127089286068854e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.529999999999718 y[1] (closed_form) = -1.141954999999959 y[1] (numeric) = -1.141954999999969 absolute error = 1.021405182655144e-14 relative error = 8.944355799091743e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.519999999999719 y[1] (closed_form) = -1.140479999999958 y[1] (numeric) = -1.140479999999968 absolute error = 9.992007221626409e-15 relative error = 8.76122967665086e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.50999999999972 y[1] (closed_form) = -1.138994999999958 y[1] (numeric) = -1.138994999999968 absolute error = 9.992007221626409e-15 relative error = 8.772652401131502e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.499999999999722 y[1] (closed_form) = -1.137499999999958 y[1] (numeric) = -1.137499999999968 absolute error = 9.769962616701378e-15 relative error = 8.588978124572955e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.489999999999723 y[1] (closed_form) = -1.135994999999958 y[1] (numeric) = -1.135994999999968 absolute error = 9.547918011776346e-15 relative error = 8.40489439810624e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.479999999999724 y[1] (closed_form) = -1.134479999999958 y[1] (numeric) = -1.134479999999968 absolute error = 9.547918011776346e-15 relative error = 8.41611840823699e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.469999999999725 y[1] (closed_form) = -1.132954999999958 y[1] (numeric) = -1.132954999999967 absolute error = 9.547918011776346e-15 relative error = 8.427446819844303e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.459999999999726 y[1] (closed_form) = -1.131419999999958 y[1] (numeric) = -1.131419999999967 absolute error = 9.325873406851315e-15 relative error = 8.24262732393953e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.449999999999727 y[1] (closed_form) = -1.129874999999958 y[1] (numeric) = -1.129874999999967 absolute error = 9.325873406851315e-15 relative error = 8.253898357651657e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.439999999999728 y[1] (closed_form) = -1.128319999999958 y[1] (numeric) = -1.128319999999966 absolute error = 8.881784197001252e-15 relative error = 7.871689057183766e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.429999999999729 y[1] (closed_form) = -1.126754999999958 y[1] (numeric) = -1.126754999999966 absolute error = 8.881784197001252e-15 relative error = 7.882622395286985e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.41999999999973 y[1] (closed_form) = -1.125179999999957 y[1] (numeric) = -1.125179999999966 absolute error = 8.881784197001252e-15 relative error = 7.893656301215441e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.409999999999731 y[1] (closed_form) = -1.123594999999957 y[1] (numeric) = -1.123594999999966 absolute error = 8.43769498715119e-15 relative error = 7.509551917863207e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.399999999999733 y[1] (closed_form) = -1.121999999999957 y[1] (numeric) = -1.121999999999965 absolute error = 8.215650382226158e-15 relative error = 7.322326543873861e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.389999999999734 y[1] (closed_form) = -1.120394999999957 y[1] (numeric) = -1.120394999999965 absolute error = 7.993605777301127e-15 relative error = 7.134631783702562e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.379999999999735 y[1] (closed_form) = -1.118779999999957 y[1] (numeric) = -1.118779999999965 absolute error = 7.771561172376096e-15 relative error = 6.946460584186698e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.369999999999736 y[1] (closed_form) = -1.117154999999957 y[1] (numeric) = -1.117154999999965 absolute error = 7.771561172376096e-15 relative error = 6.956564820796037e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.359999999999737 y[1] (closed_form) = -1.115519999999957 y[1] (numeric) = -1.115519999999964 absolute error = 7.105427357601002e-15 relative error = 6.36961000932415e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.349999999999738 y[1] (closed_form) = -1.113874999999957 y[1] (numeric) = -1.113874999999964 absolute error = 7.327471962526033e-15 relative error = 6.578361093054713e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.339999999999739 y[1] (closed_form) = -1.112219999999957 y[1] (numeric) = -1.112219999999964 absolute error = 6.883382752675971e-15 relative error = 6.188867987157432e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.32999999999974 y[1] (closed_form) = -1.110554999999957 y[1] (numeric) = -1.110554999999963 absolute error = 6.661338147750939e-15 relative error = 5.998206435296945e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.319999999999741 y[1] (closed_form) = -1.108879999999957 y[1] (numeric) = -1.108879999999963 absolute error = 6.439293542825908e-15 relative error = 5.807024694129356e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.309999999999742 y[1] (closed_form) = -1.107194999999956 y[1] (numeric) = -1.107194999999963 absolute error = 6.439293542825908e-15 relative error = 5.815862194849292e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.299999999999744 y[1] (closed_form) = -1.105499999999956 y[1] (numeric) = -1.105499999999962 absolute error = 5.995204332975845e-15 relative error = 5.423070405224859e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.289999999999745 y[1] (closed_form) = -1.103794999999956 y[1] (numeric) = -1.103794999999962 absolute error = 5.995204332975845e-15 relative error = 5.431447264189531e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.279999999999746 y[1] (closed_form) = -1.102079999999956 y[1] (numeric) = -1.102079999999962 absolute error = 5.773159728050814e-15 relative error = 5.238421646387779e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.269999999999747 y[1] (closed_form) = -1.100354999999956 y[1] (numeric) = -1.100354999999962 absolute error = 5.551115123125783e-15 relative error = 5.044840186236263e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.259999999999748 y[1] (closed_form) = -1.098619999999956 y[1] (numeric) = -1.098619999999962 absolute error = 5.329070518200751e-15 relative error = 4.850694979338592e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.249999999999749 y[1] (closed_form) = -1.096874999999956 y[1] (numeric) = -1.096874999999961 absolute error = 5.10702591327572e-15 relative error = 4.655978040593435e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.23999999999975 y[1] (closed_form) = -1.095119999999956 y[1] (numeric) = -1.095119999999961 absolute error = 4.884981308350689e-15 relative error = 4.460681302826069e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.229999999999751 y[1] (closed_form) = -1.093354999999956 y[1] (numeric) = -1.093354999999961 absolute error = 4.884981308350689e-15 relative error = 4.467882168509666e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.219999999999752 y[1] (closed_form) = -1.091579999999956 y[1] (numeric) = -1.09157999999996 absolute error = 4.440892098500626e-15 relative error = 4.068315742777263e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.209999999999753 y[1] (closed_form) = -1.089794999999956 y[1] (numeric) = -1.08979499999996 absolute error = 4.440892098500626e-15 relative error = 4.074979329599426e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.199999999999755 y[1] (closed_form) = -1.087999999999956 y[1] (numeric) = -1.08799999999996 absolute error = 4.440892098500626e-15 relative error = 4.081702296416183e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.189999999999756 y[1] (closed_form) = -1.086194999999956 y[1] (numeric) = -1.08619499999996 absolute error = 4.218847493575595e-15 relative error = 3.884060867133219e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.179999999999757 y[1] (closed_form) = -1.084379999999956 y[1] (numeric) = -1.08437999999996 absolute error = 3.996802888650564e-15 relative error = 3.685795467133963e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.169999999999758 y[1] (closed_form) = -1.082554999999956 y[1] (numeric) = -1.082554999999959 absolute error = 3.552713678800501e-15 relative error = 3.281785848109931e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.159999999999759 y[1] (closed_form) = -1.080719999999956 y[1] (numeric) = -1.080719999999959 absolute error = 3.552713678800501e-15 relative error = 3.287358130506187e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.14999999999976 y[1] (closed_form) = -1.078874999999956 y[1] (numeric) = -1.078874999999959 absolute error = 3.33066907387547e-15 relative error = 3.087168646854924e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.139999999999761 y[1] (closed_form) = -1.077019999999956 y[1] (numeric) = -1.077019999999959 absolute error = 3.108624468950438e-15 relative error = 2.886320095216956e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.129999999999762 y[1] (closed_form) = -1.075154999999955 y[1] (numeric) = -1.075154999999959 absolute error = 3.108624468950438e-15 relative error = 2.891326803066132e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.119999999999763 y[1] (closed_form) = -1.073279999999956 y[1] (numeric) = -1.073279999999958 absolute error = 2.886579864025407e-15 relative error = 2.689493761204464e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.109999999999765 y[1] (closed_form) = -1.071394999999955 y[1] (numeric) = -1.071394999999958 absolute error = 2.664535259100376e-15 relative error = 2.486977500455468e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.099999999999766 y[1] (closed_form) = -1.069499999999955 y[1] (numeric) = -1.069499999999958 absolute error = 2.664535259100376e-15 relative error = 2.491384066480118e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.089999999999767 y[1] (closed_form) = -1.067594999999955 y[1] (numeric) = -1.067594999999958 absolute error = 2.220446049250313e-15 relative error = 2.079858044717712e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.079999999999768 y[1] (closed_form) = -1.065679999999955 y[1] (numeric) = -1.065679999999958 absolute error = 2.220446049250313e-15 relative error = 2.083595497006987e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.069999999999769 y[1] (closed_form) = -1.063754999999955 y[1] (numeric) = -1.063754999999957 absolute error = 1.77635683940025e-15 relative error = 1.669892822501727e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.05999999999977 y[1] (closed_form) = -1.061819999999955 y[1] (numeric) = -1.061819999999957 absolute error = 1.554312234475219e-15 relative error = 1.463818947161745e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.049999999999771 y[1] (closed_form) = -1.059874999999955 y[1] (numeric) = -1.059874999999957 absolute error = 1.332267629550188e-15 relative error = 1.257004485953763e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.039999999999772 y[1] (closed_form) = -1.057919999999955 y[1] (numeric) = -1.057919999999956 absolute error = 1.110223024625157e-15 relative error = 1.049439489399202e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.029999999999773 y[1] (closed_form) = -1.055954999999955 y[1] (numeric) = -1.055954999999956 absolute error = 6.661338147750939e-16 relative error = 6.308354189100123e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.019999999999774 y[1] (closed_form) = -1.053979999999955 y[1] (numeric) = -1.053979999999956 absolute error = 6.661338147750939e-16 relative error = 6.3201750960656e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.009999999999776 y[1] (closed_form) = -1.051994999999955 y[1] (numeric) = -1.051994999999956 absolute error = 2.220446049250313e-16 relative error = 2.11070019272944e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.999999999999777 y[1] (closed_form) = -1.049999999999955 y[1] (numeric) = -1.049999999999955 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.989999999999778 y[1] (closed_form) = -1.047994999999955 y[1] (numeric) = -1.047994999999955 absolute error = 2.220446049250313e-16 relative error = 2.118756338771089e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.979999999999779 y[1] (closed_form) = -1.045979999999955 y[1] (numeric) = -1.045979999999955 absolute error = 4.440892098500626e-16 relative error = 4.245675919712438e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.96999999999978 y[1] (closed_form) = -1.043954999999955 y[1] (numeric) = -1.043954999999955 absolute error = 6.661338147750939e-16 relative error = 6.380867132923569e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.959999999999781 y[1] (closed_form) = -1.041919999999955 y[1] (numeric) = -1.041919999999954 absolute error = 8.881784197001252e-16 relative error = 8.524439685390081e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.949999999999782 y[1] (closed_form) = -1.039874999999955 y[1] (numeric) = -1.039874999999954 absolute error = 1.110223024625157e-15 relative error = 1.067650462435585e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.939999999999783 y[1] (closed_form) = -1.037819999999955 y[1] (numeric) = -1.037819999999954 absolute error = 1.332267629550188e-15 relative error = 1.283717436116326e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.929999999999784 y[1] (closed_form) = -1.035754999999955 y[1] (numeric) = -1.035754999999954 absolute error = 1.554312234475219e-15 relative error = 1.500656269557266e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.919999999999785 y[1] (closed_form) = -1.033679999999955 y[1] (numeric) = -1.033679999999954 absolute error = 1.77635683940025e-15 relative error = 1.718478484057278e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.909999999999787 y[1] (closed_form) = -1.031594999999955 y[1] (numeric) = -1.031594999999953 absolute error = 1.998401444325282e-15 relative error = 1.93719574476938e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.899999999999788 y[1] (closed_form) = -1.029499999999955 y[1] (numeric) = -1.029499999999953 absolute error = 2.442490654175344e-15 relative error = 2.372501849611899e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.889999999999789 y[1] (closed_form) = -1.027394999999955 y[1] (numeric) = -1.027394999999953 absolute error = 2.442490654175344e-15 relative error = 2.377362800262266e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.87999999999979 y[1] (closed_form) = -1.025279999999956 y[1] (numeric) = -1.025279999999953 absolute error = 2.886579864025407e-15 relative error = 2.815406390474341e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.869999999999791 y[1] (closed_form) = -1.023154999999955 y[1] (numeric) = -1.023154999999953 absolute error = 2.886579864025407e-15 relative error = 2.821253733818955e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.859999999999792 y[1] (closed_form) = -1.021019999999955 y[1] (numeric) = -1.021019999999952 absolute error = 3.108624468950438e-15 relative error = 3.04462642156919e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.849999999999793 y[1] (closed_form) = -1.018874999999956 y[1] (numeric) = -1.018874999999952 absolute error = 3.33066907387547e-15 relative error = 3.268967315790077e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.839999999999794 y[1] (closed_form) = -1.016719999999955 y[1] (numeric) = -1.016719999999952 absolute error = 3.552713678800501e-15 relative error = 3.494289163978929e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.829999999999795 y[1] (closed_form) = -1.014554999999956 y[1] (numeric) = -1.014554999999952 absolute error = 3.774758283725532e-15 relative error = 3.72060487970164e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.819999999999796 y[1] (closed_form) = -1.012379999999956 y[1] (numeric) = -1.012379999999952 absolute error = 3.996802888650564e-15 relative error = 3.947927545635768e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.809999999999798 y[1] (closed_form) = -1.010194999999956 y[1] (numeric) = -1.010194999999952 absolute error = 3.996802888650564e-15 relative error = 3.956466710536817e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.799999999999799 y[1] (closed_form) = -1.007999999999956 y[1] (numeric) = -1.007999999999951 absolute error = 4.218847493575595e-15 relative error = 4.1853645769601e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.7899999999998 y[1] (closed_form) = -1.005794999999956 y[1] (numeric) = -1.005794999999951 absolute error = 4.662936703425657e-15 relative error = 4.636070673870781e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.779999999999801 y[1] (closed_form) = -1.003579999999956 y[1] (numeric) = -1.003579999999951 absolute error = 4.662936703425657e-15 relative error = 4.646302938904585e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.769999999999802 y[1] (closed_form) = -1.001354999999956 y[1] (numeric) = -1.001354999999951 absolute error = 4.884981308350689e-15 relative error = 4.878371115489416e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.759999999999803 y[1] (closed_form) = -0.9991199999999558 y[1] (numeric) = -0.9991199999999507 absolute error = 5.10702591327572e-15 relative error = 5.111524054443856e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.749999999999804 y[1] (closed_form) = -0.996874999999956 y[1] (numeric) = -0.9968749999999506 absolute error = 5.440092820663267e-15 relative error = 5.457146403173424e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.739999999999805 y[1] (closed_form) = -0.994619999999956 y[1] (numeric) = -0.9946199999999503 absolute error = 5.662137425588298e-15 relative error = 5.692764498590968e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.729999999999806 y[1] (closed_form) = -0.992354999999956 y[1] (numeric) = -0.9923549999999501 absolute error = 5.88418203051333e-15 relative error = 5.929513158611173e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.719999999999807 y[1] (closed_form) = -0.9900799999999561 y[1] (numeric) = -0.99007999999995 absolute error = 6.106226635438361e-15 relative error = 6.167407316013486e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.709999999999809 y[1] (closed_form) = -0.9877949999999561 y[1] (numeric) = -0.9877949999999498 absolute error = 6.328271240363392e-15 relative error = 6.406462110421366e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.69999999999981 y[1] (closed_form) = -0.9854999999999562 y[1] (numeric) = -0.9854999999999496 absolute error = 6.550315845288424e-15 relative error = 6.646692892225992e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.689999999999811 y[1] (closed_form) = -0.9831949999999563 y[1] (numeric) = -0.9831949999999494 absolute error = 6.883382752675971e-15 relative error = 7.0010351483442e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.679999999999812 y[1] (closed_form) = -0.9808799999999563 y[1] (numeric) = -0.9808799999999493 absolute error = 6.994405055138486e-15 relative error = 7.130744897580537e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.669999999999813 y[1] (closed_form) = -0.9785549999999564 y[1] (numeric) = -0.9785549999999491 absolute error = 7.327471962526033e-15 relative error = 7.488053264789776e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.659999999999814 y[1] (closed_form) = -0.9762199999999565 y[1] (numeric) = -0.9762199999999489 absolute error = 7.549516567451064e-15 relative error = 7.733417229160847e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.649999999999815 y[1] (closed_form) = -0.9738749999999565 y[1] (numeric) = -0.9738749999999486 absolute error = 7.882583474838611e-15 relative error = 8.094040277077616e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.639999999999816 y[1] (closed_form) = -0.9715199999999566 y[1] (numeric) = -0.9715199999999485 absolute error = 8.104628079763643e-15 relative error = 8.342214344289366e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.629999999999817 y[1] (closed_form) = -0.9691549999999567 y[1] (numeric) = -0.9691549999999483 absolute error = 8.43769498715119e-15 relative error = 8.706238926850263e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.619999999999818 y[1] (closed_form) = -0.9667799999999568 y[1] (numeric) = -0.9667799999999481 absolute error = 8.659739592076221e-15 relative error = 8.957301135808155e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.60999999999982 y[1] (closed_form) = -0.9643949999999568 y[1] (numeric) = -0.9643949999999478 absolute error = 8.992806499463768e-15 relative error = 9.324816594304378e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.599999999999821 y[1] (closed_form) = -0.9619999999999569 y[1] (numeric) = -0.9619999999999478 absolute error = 9.103828801926284e-15 relative error = 9.463439503042298e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.589999999999822 y[1] (closed_form) = -0.959594999999957 y[1] (numeric) = -0.9595949999999475 absolute error = 9.547918011776346e-15 relative error = 9.949945562218201e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.579999999999823 y[1] (closed_form) = -0.9571799999999571 y[1] (numeric) = -0.9571799999999474 absolute error = 9.658940314238862e-15 relative error = 1.009103858651382e-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) = -0.9547549999999572 y[1] (numeric) = -0.9547549999999472 absolute error = 9.992007221626409e-15 relative error = 1.046551965857928e-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) = -0.9523199999999573 y[1] (numeric) = -0.9523199999999471 absolute error = 1.021405182655144e-14 relative error = 1.072544084609364e-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) = -0.9498749999999574 y[1] (numeric) = -0.9498749999999468 absolute error = 1.054711873393899e-14 relative error = 1.110369125825973e-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) = -0.9474199999999575 y[1] (numeric) = -0.9474199999999467 absolute error = 1.076916333886402e-14 relative error = 1.136683133020677e-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) = -0.9449549999999576 y[1] (numeric) = -0.9449549999999466 absolute error = 1.099120794378905e-14 relative error = 1.163146175615722e-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) = -0.9424799999999577 y[1] (numeric) = -0.9424799999999465 absolute error = 1.121325254871408e-14 relative error = 1.189760265333438e-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) = -0.9399949999999577 y[1] (numeric) = -0.9399949999999462 absolute error = 1.154631945610163e-14 relative error = 1.228338390746988e-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) = -0.9374999999999579 y[1] (numeric) = -0.937499999999946 absolute error = 1.187938636348917e-14 relative error = 1.267134545438902e-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) = -0.9349949999999581 y[1] (numeric) = -0.9349949999999458 absolute error = 1.221245327087672e-14 relative error = 1.306151719621738e-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) = -0.9324799999999581 y[1] (numeric) = -0.9324799999999457 absolute error = 1.243449787580175e-14 relative error = 1.333486817497674e-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) = -0.9299549999999582 y[1] (numeric) = -0.9299549999999455 absolute error = 1.27675647831893e-14 relative error = 1.372922860051279e-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) = -0.9274199999999584 y[1] (numeric) = -0.9274199999999453 absolute error = 1.310063169057685e-14 relative error = 1.412588869183049e-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) = -0.9248749999999585 y[1] (numeric) = -0.9248749999999452 absolute error = 1.332267629550188e-14 relative error = 1.440483989242057e-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) = -0.9223199999999586 y[1] (numeric) = -0.922319999999945 absolute error = 1.365574320288943e-14 relative error = 1.480586261047146e-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) = -0.9197549999999587 y[1] (numeric) = -0.9197549999999448 absolute error = 1.387778780781446e-14 relative error = 1.508857011684098e-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) = -0.9171799999999588 y[1] (numeric) = -0.9171799999999446 absolute error = 1.4210854715202e-14 relative error = 1.549407391700936e-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) = -0.914594999999959 y[1] (numeric) = -0.9145949999999445 absolute error = 1.443289932012704e-14 relative error = 1.578064533495994e-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) = -0.9119999999999591 y[1] (numeric) = -0.9119999999999443 absolute error = 1.476596622751458e-14 relative error = 1.619075244245093e-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) = -0.9093949999999592 y[1] (numeric) = -0.9093949999999442 absolute error = 1.498801083243961e-14 relative error = 1.648129892119517e-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) = -0.9067799999999593 y[1] (numeric) = -0.906779999999944 absolute error = 1.532107773982716e-14 relative error = 1.689613549022679e-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) = -0.9041549999999594 y[1] (numeric) = -0.904154999999944 absolute error = 1.543210004228968e-14 relative error = 1.706798064744471e-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) = -0.9015199999999597 y[1] (numeric) = -0.9015199999999437 absolute error = 1.598721155460225e-14 relative error = 1.773361828312513e-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) = -0.8988749999999598 y[1] (numeric) = -0.8988749999999437 absolute error = 1.609823385706477e-14 relative error = 1.790931314928715e-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) = -0.8962199999999598 y[1] (numeric) = -0.8962199999999434 absolute error = 1.643130076445232e-14 relative error = 1.833400366478437e-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) = -0.89355499999996 y[1] (numeric) = -0.8935549999999434 absolute error = 1.665334536937735e-14 relative error = 1.86371799938203e-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) = -0.8908799999999601 y[1] (numeric) = -0.8908799999999431 absolute error = 1.709743457922741e-14 relative error = 1.919162466238795e-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) = -0.8881949999999603 y[1] (numeric) = -0.888194999999943 absolute error = 1.731947918415244e-14 relative error = 1.949963598551356e-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) = -0.8854999999999604 y[1] (numeric) = -0.8854999999999428 absolute error = 1.765254609153999e-14 relative error = 1.993511698649438e-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) = -0.8827949999999607 y[1] (numeric) = -0.8827949999999427 absolute error = 1.798561299892754e-14 relative error = 2.037348761482376e-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) = -0.8800799999999608 y[1] (numeric) = -0.8800799999999425 absolute error = 1.831867990631508e-14 relative error = 2.081478945813551e-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) = -0.877354999999961 y[1] (numeric) = -0.8773549999999424 absolute error = 1.865174681370263e-14 relative error = 2.125906481834999e-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) = -0.8746199999999611 y[1] (numeric) = -0.8746199999999422 absolute error = 1.887379141862766e-14 relative error = 2.157941896895623e-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) = -0.8718749999999613 y[1] (numeric) = -0.8718749999999421 absolute error = 1.920685832601521e-14 relative error = 2.202937155672093e-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) = -0.8691199999999615 y[1] (numeric) = -0.8691199999999419 absolute error = 1.953992523340276e-14 relative error = 2.248242502002442e-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) = -0.8663549999999616 y[1] (numeric) = -0.8663549999999418 absolute error = 1.976196983832779e-14 relative error = 2.281047588843911e-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) = -0.8635799999999618 y[1] (numeric) = -0.8635799999999417 absolute error = 2.009503674571533e-14 relative error = 2.326945592268953e-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) = -0.860794999999962 y[1] (numeric) = -0.8607949999999416 absolute error = 2.042810365310288e-14 relative error = 2.373167090085767e-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) = -0.8579999999999621 y[1] (numeric) = -0.8579999999999415 absolute error = 2.065014825802791e-14 relative error = 2.406777186250445e-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) = -0.8551949999999623 y[1] (numeric) = -0.8551949999999413 absolute error = 2.098321516541546e-14 relative error = 2.453617615329414e-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) = -0.8523799999999625 y[1] (numeric) = -0.8523799999999413 absolute error = 2.120525977034049e-14 relative error = 2.48777068564976e-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) = -0.8495549999999626 y[1] (numeric) = -0.8495549999999411 absolute error = 2.153832667772804e-14 relative error = 2.535248062542035e-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) = -0.8467199999999628 y[1] (numeric) = -0.846719999999941 absolute error = 2.187139358511558e-14 relative error = 2.583072749564973e-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) = -0.8438749999999631 y[1] (numeric) = -0.8438749999999408 absolute error = 2.231548279496565e-14 relative error = 2.644406197003896e-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) = -0.8410199999999632 y[1] (numeric) = -0.8410199999999407 absolute error = 2.253752739989068e-14 relative error = 2.679784951593501e-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) = -0.8381549999999633 y[1] (numeric) = -0.8381549999999405 absolute error = 2.287059430727822e-14 relative error = 2.728683156132126e-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) = -0.8352799999999636 y[1] (numeric) = -0.8352799999999404 absolute error = 2.320366121466577e-14 relative error = 2.777950054432859e-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) = -0.8323949999999638 y[1] (numeric) = -0.8323949999999402 absolute error = 2.364775042451583e-14 relative error = 2.840928936925001e-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) = -0.8294999999999639 y[1] (numeric) = -0.8294999999999402 absolute error = 2.375877272697835e-14 relative error = 2.864228176851041e-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) = -0.8265949999999642 y[1] (numeric) = -0.8265949999999399 absolute error = 2.431388423929093e-14 relative error = 2.941450678904661e-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) = -0.8236799999999643 y[1] (numeric) = -0.8236799999999399 absolute error = 2.442490654175344e-14 relative error = 2.965339275174158e-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) = -0.8207549999999646 y[1] (numeric) = -0.8207549999999397 absolute error = 2.486899575160351e-14 relative error = 3.030014529500835e-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) = -0.8178199999999647 y[1] (numeric) = -0.8178199999999397 absolute error = 2.498001805406602e-14 relative error = 3.054464069607872e-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) = -0.8148749999999649 y[1] (numeric) = -0.8148749999999395 absolute error = 2.542410726391608e-14 relative error = 3.120000891414901e-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) = -0.8119199999999651 y[1] (numeric) = -0.8119199999999395 absolute error = 2.564615186884112e-14 relative error = 3.158704289688912e-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) = -0.8089549999999653 y[1] (numeric) = -0.8089549999999394 absolute error = 2.597921877622866e-14 relative error = 3.211454132334898e-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) = -0.8059799999999656 y[1] (numeric) = -0.8059799999999393 absolute error = 2.631228568361621e-14 relative error = 3.264632581902446e-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) = -0.8029949999999658 y[1] (numeric) = -0.8029949999999391 absolute error = 2.675637489346627e-14 relative error = 3.332072415577608e-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) = -0.7999999999999661 y[1] (numeric) = -0.799999999999939 absolute error = 2.708944180085382e-14 relative error = 3.386180225106871e-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) = -0.7969949999999663 y[1] (numeric) = -0.7969949999999388 absolute error = 2.742250870824137e-14 relative error = 3.440737860117382e-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) = -0.7939799999999665 y[1] (numeric) = -0.7939799999999387 absolute error = 2.775557561562891e-14 relative error = 3.495752489436772e-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) = -0.7909549999999667 y[1] (numeric) = -0.7909549999999386 absolute error = 2.808864252301646e-14 relative error = 3.551231425683844e-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) = -0.7879199999999669 y[1] (numeric) = -0.7879199999999384 absolute error = 2.842170943040401e-14 relative error = 3.607182128947761e-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) = -0.7848749999999671 y[1] (numeric) = -0.7848749999999384 absolute error = 2.875477633779155e-14 relative error = 3.66361221058038e-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) = -0.7818199999999673 y[1] (numeric) = -0.7818199999999382 absolute error = 2.90878432451791e-14 relative error = 3.720529437105768e-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) = -0.7787549999999676 y[1] (numeric) = -0.7787549999999381 absolute error = 2.942091015256665e-14 relative error = 3.777941734251193e-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) = -0.7756799999999678 y[1] (numeric) = -0.775679999999938 absolute error = 2.986499936241671e-14 relative error = 3.850170091070796e-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) = -0.7725949999999681 y[1] (numeric) = -0.772594999999938 absolute error = 3.008704396734174e-14 relative error = 3.894284064398939e-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) = -0.7694999999999683 y[1] (numeric) = -0.7694999999999378 absolute error = 3.05311331771918e-14 relative error = 3.967658632513719e-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) = -0.7663949999999685 y[1] (numeric) = -0.7663949999999378 absolute error = 3.075317778211684e-14 relative error = 4.01270595216802e-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) = -0.7632799999999688 y[1] (numeric) = -0.7632799999999376 absolute error = 3.11972669919669e-14 relative error = 4.087263781570089e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.869999999999901 y[1] (closed_form) = -0.760154999999969 y[1] (numeric) = -0.7601549999999376 absolute error = 3.141931159689193e-14 relative error = 4.133276975997423e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.859999999999902 y[1] (closed_form) = -0.7570199999999693 y[1] (numeric) = -0.7570199999999374 absolute error = 3.186340080674199e-14 relative error = 4.209056670463566e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.849999999999903 y[1] (closed_form) = -0.7538749999999695 y[1] (numeric) = -0.7538749999999375 absolute error = 3.208544541166702e-14 relative error = 4.256069694799313e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.839999999999904 y[1] (closed_form) = -0.7507199999999697 y[1] (numeric) = -0.7507199999999372 absolute error = 3.252953462151709e-14 relative error = 4.33311149583312e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.829999999999905 y[1] (closed_form) = -0.74755499999997 y[1] (numeric) = -0.7475549999999372 absolute error = 3.275157922644212e-14 relative error = 4.381159811176894e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.819999999999907 y[1] (closed_form) = -0.7443799999999703 y[1] (numeric) = -0.744379999999937 absolute error = 3.33066907387547e-14 relative error = 4.474420422197805e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.809999999999908 y[1] (closed_form) = -0.7411949999999705 y[1] (numeric) = -0.741194999999937 absolute error = 3.352873534367973e-14 relative error = 4.523605170526118e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.799999999999909 y[1] (closed_form) = -0.7379999999999708 y[1] (numeric) = -0.7379999999999368 absolute error = 3.397282455352979e-14 relative error = 4.603363760641075e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.78999999999991 y[1] (closed_form) = -0.734794999999971 y[1] (numeric) = -0.7347949999999368 absolute error = 3.419486915845482e-14 relative error = 4.653661110711991e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.779999999999911 y[1] (closed_form) = -0.7315799999999714 y[1] (numeric) = -0.7315799999999366 absolute error = 3.47499806707674e-14 relative error = 4.749990523356128e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.769999999999912 y[1] (closed_form) = -0.7283549999999717 y[1] (numeric) = -0.7283549999999366 absolute error = 3.508304757815495e-14 relative error = 4.816751114244608e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.759999999999913 y[1] (closed_form) = -0.7251199999999719 y[1] (numeric) = -0.7251199999999365 absolute error = 3.541611448554249e-14 relative error = 4.884172893527122e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.749999999999914 y[1] (closed_form) = -0.7218749999999721 y[1] (numeric) = -0.7218749999999364 absolute error = 3.563815909046752e-14 relative error = 4.936887839372316e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.739999999999915 y[1] (closed_form) = -0.7186199999999724 y[1] (numeric) = -0.7186199999999363 absolute error = 3.608224830031759e-14 relative error = 5.02104704855403e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.729999999999916 y[1] (closed_form) = -0.7153549999999727 y[1] (numeric) = -0.7153549999999362 absolute error = 3.641531520770513e-14 relative error = 5.090523615226919e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.719999999999918 y[1] (closed_form) = -0.712079999999973 y[1] (numeric) = -0.7120799999999362 absolute error = 3.674838211509268e-14 relative error = 5.160709767876373e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.709999999999919 y[1] (closed_form) = -0.7087949999999732 y[1] (numeric) = -0.7087949999999361 absolute error = 3.708144902248023e-14 relative error = 5.231618313120385e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.69999999999992 y[1] (closed_form) = -0.7054999999999736 y[1] (numeric) = -0.7054999999999361 absolute error = 3.752553823233029e-14 relative error = 5.318999040727384e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.689999999999921 y[1] (closed_form) = -0.7021949999999738 y[1] (numeric) = -0.702194999999936 absolute error = 3.785860513971784e-14 relative error = 5.391466065654021e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.679999999999922 y[1] (closed_form) = -0.6988799999999741 y[1] (numeric) = -0.698879999999936 absolute error = 3.808064974464287e-14 relative error = 5.448810918132481e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.669999999999923 y[1] (closed_form) = -0.6955549999999744 y[1] (numeric) = -0.6955549999999359 absolute error = 3.852473895449293e-14 relative error = 5.538704912551035e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.659999999999924 y[1] (closed_form) = -0.6922199999999746 y[1] (numeric) = -0.6922199999999358 absolute error = 3.885780586188048e-14 relative error = 5.613505224044654e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.649999999999925 y[1] (closed_form) = -0.688874999999975 y[1] (numeric) = -0.6888749999999356 absolute error = 3.941291737419306e-14 relative error = 5.721345291118778e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.639999999999926 y[1] (closed_form) = -0.6855199999999753 y[1] (numeric) = -0.6855199999999356 absolute error = 3.963496197911809e-14 relative error = 5.781736780709464e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.629999999999928 y[1] (closed_form) = -0.6821549999999755 y[1] (numeric) = -0.6821549999999355 absolute error = 4.007905118896815e-14 relative error = 5.875358413992361e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.619999999999929 y[1] (closed_form) = -0.6787799999999758 y[1] (numeric) = -0.6787799999999354 absolute error = 4.04121180963557e-14 relative error = 5.953640074303476e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.60999999999993 y[1] (closed_form) = -0.6753949999999762 y[1] (numeric) = -0.6753949999999352 absolute error = 4.096722960866828e-14 relative error = 6.065669661260406e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.599999999999931 y[1] (closed_form) = -0.6719999999999765 y[1] (numeric) = -0.6719999999999353 absolute error = 4.118927421359331e-14 relative error = 6.129356281784933e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.589999999999932 y[1] (closed_form) = -0.6685949999999767 y[1] (numeric) = -0.6685949999999351 absolute error = 4.163336342344337e-14 relative error = 6.226992936448047e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.579999999999933 y[1] (closed_form) = -0.6651799999999771 y[1] (numeric) = -0.6651799999999352 absolute error = 4.196643033083092e-14 relative error = 6.309033694764179e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.569999999999934 y[1] (closed_form) = -0.6617549999999774 y[1] (numeric) = -0.661754999999935 absolute error = 4.241051954068098e-14 relative error = 6.408794726247996e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.559999999999935 y[1] (closed_form) = -0.6583199999999777 y[1] (numeric) = -0.6583199999999351 absolute error = 4.263256414560601e-14 relative error = 6.475963687204924e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.549999999999936 y[1] (closed_form) = -0.654874999999978 y[1] (numeric) = -0.6548749999999349 absolute error = 4.307665335545607e-14 relative error = 6.577843612209586e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.539999999999937 y[1] (closed_form) = -0.6514199999999783 y[1] (numeric) = -0.6514199999999349 absolute error = 4.340972026284362e-14 relative error = 6.663860529741958e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.529999999999939 y[1] (closed_form) = -0.6479549999999786 y[1] (numeric) = -0.6479549999999349 absolute error = 4.374278717023117e-14 relative error = 6.750898931288841e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.51999999999994 y[1] (closed_form) = -0.644479999999979 y[1] (numeric) = -0.6444799999999349 absolute error = 4.407585407761871e-14 relative error = 6.838979344218619e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.509999999999941 y[1] (closed_form) = -0.6409949999999793 y[1] (numeric) = -0.6409949999999347 absolute error = 4.463096558993129e-14 relative error = 6.962763452122517e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.499999999999942 y[1] (closed_form) = -0.6374999999999796 y[1] (numeric) = -0.6374999999999347 absolute error = 4.496403249731884e-14 relative error = 7.053181568207102e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.489999999999943 y[1] (closed_form) = -0.63399499999998 y[1] (numeric) = -0.6339949999999346 absolute error = 4.54081217071689e-14 relative error = 7.162220791515759e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.479999999999944 y[1] (closed_form) = -0.6304799999999803 y[1] (numeric) = -0.6304799999999345 absolute error = 4.574118861455645e-14 relative error = 7.254978526607962e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.469999999999945 y[1] (closed_form) = -0.6269549999999806 y[1] (numeric) = -0.6269549999999344 absolute error = 4.618527782440651e-14 relative error = 7.366601721719731e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.459999999999946 y[1] (closed_form) = -0.623419999999981 y[1] (numeric) = -0.6234199999999344 absolute error = 4.662936703425657e-14 relative error = 7.47960717241314e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.449999999999947 y[1] (closed_form) = -0.6198749999999813 y[1] (numeric) = -0.6198749999999343 absolute error = 4.696243394164412e-14 relative error = 7.576113561870625e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.439999999999948 y[1] (closed_form) = -0.6163199999999817 y[1] (numeric) = -0.6163199999999343 absolute error = 4.740652315149418e-14 relative error = 7.691868372192302e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.42999999999995 y[1] (closed_form) = -0.612754999999982 y[1] (numeric) = -0.6127549999999342 absolute error = 4.773959005888173e-14 relative error = 7.79097519545057e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.419999999999951 y[1] (closed_form) = -0.6091799999999823 y[1] (numeric) = -0.6091799999999341 absolute error = 4.818367926873179e-14 relative error = 7.909596386738435e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.409999999999952 y[1] (closed_form) = -0.6055949999999827 y[1] (numeric) = -0.6055949999999342 absolute error = 4.851674617611934e-14 relative error = 8.011417890854569e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.399999999999953 y[1] (closed_form) = -0.601999999999983 y[1] (numeric) = -0.601999999999934 absolute error = 4.89608353859694e-14 relative error = 8.133029133882191e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.389999999999954 y[1] (closed_form) = -0.5983949999999834 y[1] (numeric) = -0.5983949999999341 absolute error = 4.929390229335695e-14 relative error = 8.237686192792106e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.379999999999955 y[1] (closed_form) = -0.5947799999999837 y[1] (numeric) = -0.5947799999999339 absolute error = 4.973799150320701e-14 relative error = 8.362418289654726e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.369999999999956 y[1] (closed_form) = -0.5911549999999841 y[1] (numeric) = -0.591154999999934 absolute error = 5.007105841059456e-14 relative error = 8.470038891762043e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.359999999999957 y[1] (closed_form) = -0.5875199999999844 y[1] (numeric) = -0.5875199999999339 absolute error = 5.051514762044462e-14 relative error = 8.598030300321004e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.349999999999958 y[1] (closed_form) = -0.5838749999999848 y[1] (numeric) = -0.583874999999934 absolute error = 5.084821452783217e-14 relative error = 8.70875007969745e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.339999999999959 y[1] (closed_form) = -0.5802199999999852 y[1] (numeric) = -0.5802199999999338 absolute error = 5.140332604014475e-14 relative error = 8.859282003403202e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.329999999999961 y[1] (closed_form) = -0.5765549999999855 y[1] (numeric) = -0.5765549999999339 absolute error = 5.162537064506978e-14 relative error = 8.95411030085093e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.319999999999962 y[1] (closed_form) = -0.5728799999999858 y[1] (numeric) = -0.5728799999999337 absolute error = 5.218048215738236e-14 relative error = 9.108448917292217e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.309999999999963 y[1] (closed_form) = -0.5691949999999862 y[1] (numeric) = -0.5691949999999337 absolute error = 5.25135490647699e-14 relative error = 9.225932951760148e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.299999999999964 y[1] (closed_form) = -0.5654999999999866 y[1] (numeric) = -0.5654999999999336 absolute error = 5.295763827461997e-14 relative error = 9.364745937156716e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.289999999999965 y[1] (closed_form) = -0.5617949999999869 y[1] (numeric) = -0.5617949999999337 absolute error = 5.329070518200751e-14 relative error = 9.485792002778372e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.279999999999966 y[1] (closed_form) = -0.5580799999999874 y[1] (numeric) = -0.5580799999999335 absolute error = 5.384581669432009e-14 relative error = 9.648404654229019e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.269999999999967 y[1] (closed_form) = -0.5543549999999877 y[1] (numeric) = -0.5543549999999335 absolute error = 5.417888360170764e-14 relative error = 9.773319191079514e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.259999999999968 y[1] (closed_form) = -0.5506199999999881 y[1] (numeric) = -0.5506199999999335 absolute error = 5.46229728115577e-14 relative error = 9.920266755940372e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.249999999999969 y[1] (closed_form) = -0.5468749999999885 y[1] (numeric) = -0.5468749999999335 absolute error = 5.495603971894525e-14 relative error = 1.00491044057502e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.23999999999997 y[1] (closed_form) = -0.5431199999999889 y[1] (numeric) = -0.5431199999999334 absolute error = 5.551115123125783e-14 relative error = 1.022078937090495e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.229999999999972 y[1] (closed_form) = -0.5393549999999893 y[1] (numeric) = -0.5393549999999334 absolute error = 5.584421813864537e-14 relative error = 1.035388902274874e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.219999999999973 y[1] (closed_form) = -0.5355799999999896 y[1] (numeric) = -0.5355799999999334 absolute error = 5.617728504603292e-14 relative error = 1.048905579857986e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.209999999999974 y[1] (closed_form) = -0.53179499999999 y[1] (numeric) = -0.5317949999999334 absolute error = 5.662137425588298e-14 relative error = 1.064721824309819e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.199999999999975 y[1] (closed_form) = -0.5279999999999905 y[1] (numeric) = -0.5279999999999334 absolute error = 5.706546346573305e-14 relative error = 1.08078529291163e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.189999999999976 y[1] (closed_form) = -0.5241949999999909 y[1] (numeric) = -0.5241949999999334 absolute error = 5.750955267558311e-14 relative error = 1.097102274450998e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.179999999999977 y[1] (closed_form) = -0.5203799999999912 y[1] (numeric) = -0.5203799999999335 absolute error = 5.773159728050814e-14 relative error = 1.109412300251914e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.169999999999978 y[1] (closed_form) = -0.5165549999999917 y[1] (numeric) = -0.5165549999999334 absolute error = 5.828670879282072e-14 relative error = 1.128373721923545e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.159999999999979 y[1] (closed_form) = -0.5127199999999921 y[1] (numeric) = -0.5127199999999333 absolute error = 5.873079800267078e-14 relative error = 1.145475074166635e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.14999999999998 y[1] (closed_form) = -0.5088749999999924 y[1] (numeric) = -0.5088749999999332 absolute error = 5.917488721252084e-14 relative error = 1.162857031933613e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.139999999999981 y[1] (closed_form) = -0.5050199999999928 y[1] (numeric) = -0.5050199999999333 absolute error = 5.950795411990839e-14 relative error = 1.178328662625425e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.129999999999983 y[1] (closed_form) = -0.5011549999999932 y[1] (numeric) = -0.5011549999999332 absolute error = 6.006306563222097e-14 relative error = 1.198492794289626e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.119999999999984 y[1] (closed_form) = -0.4972799999999937 y[1] (numeric) = -0.497279999999933 absolute error = 6.06736882957648e-14 relative error = 1.220111170683832e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.109999999999985 y[1] (closed_form) = -0.4933949999999941 y[1] (numeric) = -0.4933949999999331 absolute error = 6.100675520315235e-14 relative error = 1.236468857672921e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.099999999999986 y[1] (closed_form) = -0.4894999999999945 y[1] (numeric) = -0.4894999999999329 absolute error = 6.156186671546493e-14 relative error = 1.257647941071821e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.089999999999987 y[1] (closed_form) = -0.4855949999999949 y[1] (numeric) = -0.4855949999999331 absolute error = 6.183942247162122e-14 relative error = 1.27347733134859e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.079999999999988 y[1] (closed_form) = -0.4816799999999953 y[1] (numeric) = -0.4816799999999329 absolute error = 6.23945339839338e-14 relative error = 1.295352391295765e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.069999999999989 y[1] (closed_form) = -0.4777549999999958 y[1] (numeric) = -0.477754999999933 absolute error = 6.272760089132134e-14 relative error = 1.312965869353997e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.05999999999999 y[1] (closed_form) = -0.4738199999999962 y[1] (numeric) = -0.473819999999933 absolute error = 6.322720125240266e-14 relative error = 1.334413938888252e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.049999999999991 y[1] (closed_form) = -0.4698749999999966 y[1] (numeric) = -0.469874999999933 absolute error = 6.356026815979021e-14 relative error = 1.352705893265032e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.039999999999992 y[1] (closed_form) = -0.465919999999997 y[1] (numeric) = -0.4659199999999329 absolute error = 6.405986852087153e-14 relative error = 1.374911326426682e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.029999999999994 y[1] (closed_form) = -0.4619549999999975 y[1] (numeric) = -0.461954999999933 absolute error = 6.444844657949034e-14 relative error = 1.395123909893619e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.019999999999995 y[1] (closed_form) = -0.4579799999999979 y[1] (numeric) = -0.4579799999999329 absolute error = 6.494804694057166e-14 relative error = 1.418141555102231e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.009999999999996 y[1] (closed_form) = -0.4539949999999983 y[1] (numeric) = -0.453994999999933 absolute error = 6.533662499919046e-14 relative error = 1.439148558887008e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9999999999999968 y[1] (closed_form) = -0.4499999999999987 y[1] (numeric) = -0.449999999999933 absolute error = 6.578071420904053e-14 relative error = 1.461793649089794e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9899999999999968 y[1] (closed_form) = -0.4459949999999987 y[1] (numeric) = -0.445994999999933 absolute error = 6.572520305780927e-14 relative error = 1.473675782414813e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9799999999999968 y[1] (closed_form) = -0.4419799999999987 y[1] (numeric) = -0.441979999999933 absolute error = 6.572520305780927e-14 relative error = 1.487062832205291e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9699999999999968 y[1] (closed_form) = -0.4379549999999987 y[1] (numeric) = -0.437954999999933 absolute error = 6.572520305780927e-14 relative error = 1.500729596826374e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9599999999999967 y[1] (closed_form) = -0.4339199999999987 y[1] (numeric) = -0.433919999999933 absolute error = 6.572520305780927e-14 relative error = 1.514684804982703e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9499999999999967 y[1] (closed_form) = -0.4298749999999987 y[1] (numeric) = -0.4298749999999329 absolute error = 6.572520305780927e-14 relative error = 1.528937552958638e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9399999999999967 y[1] (closed_form) = -0.4258199999999986 y[1] (numeric) = -0.425819999999933 absolute error = 6.566969190657801e-14 relative error = 1.542193694673294e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9299999999999967 y[1] (closed_form) = -0.4217549999999987 y[1] (numeric) = -0.4217549999999329 absolute error = 6.572520305780927e-14 relative error = 1.558374009977581e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9199999999999967 y[1] (closed_form) = -0.4176799999999987 y[1] (numeric) = -0.417679999999933 absolute error = 6.566969190657801e-14 relative error = 1.572248896441731e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9099999999999967 y[1] (closed_form) = -0.4135949999999987 y[1] (numeric) = -0.4135949999999329 absolute error = 6.572520305780927e-14 relative error = 1.589119865032447e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8999999999999967 y[1] (closed_form) = -0.4094999999999986 y[1] (numeric) = -0.409499999999933 absolute error = 6.566969190657801e-14 relative error = 1.60365548001412e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8899999999999967 y[1] (closed_form) = -0.4053949999999986 y[1] (numeric) = -0.4053949999999329 absolute error = 6.572520305780927e-14 relative error = 1.621263287850356e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8799999999999967 y[1] (closed_form) = -0.4012799999999986 y[1] (numeric) = -0.401279999999933 absolute error = 6.566969190657801e-14 relative error = 1.636505480128046e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8699999999999967 y[1] (closed_form) = -0.3971549999999986 y[1] (numeric) = -0.3971549999999329 absolute error = 6.572520305780927e-14 relative error = 1.654900556654442e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8599999999999967 y[1] (closed_form) = -0.3930199999999986 y[1] (numeric) = -0.393019999999933 absolute error = 6.561418075534675e-14 relative error = 1.669487068224187e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8499999999999966 y[1] (closed_form) = -0.3888749999999986 y[1] (numeric) = -0.3888749999999329 absolute error = 6.572520305780927e-14 relative error = 1.690137012094105e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8399999999999966 y[1] (closed_form) = -0.3847199999999986 y[1] (numeric) = -0.3847199999999329 absolute error = 6.566969190657801e-14 relative error = 1.70694769979669e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8299999999999966 y[1] (closed_form) = -0.3805549999999986 y[1] (numeric) = -0.3805549999999328 absolute error = 6.578071420904053e-14 relative error = 1.728546838408135e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8199999999999966 y[1] (closed_form) = -0.3763799999999986 y[1] (numeric) = -0.3763799999999329 absolute error = 6.566969190657801e-14 relative error = 1.744771026796808e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8099999999999966 y[1] (closed_form) = -0.3721949999999986 y[1] (numeric) = -0.3721949999999328 absolute error = 6.572520305780927e-14 relative error = 1.765880870452573e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7999999999999966 y[1] (closed_form) = -0.3679999999999986 y[1] (numeric) = -0.3679999999999329 absolute error = 6.561418075534675e-14 relative error = 1.782994042264864e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7899999999999966 y[1] (closed_form) = -0.3637949999999985 y[1] (numeric) = -0.3637949999999329 absolute error = 6.566969190657801e-14 relative error = 1.805129039887252e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7799999999999966 y[1] (closed_form) = -0.3595799999999986 y[1] (numeric) = -0.359579999999933 absolute error = 6.561418075534675e-14 relative error = 1.82474500126111e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7699999999999966 y[1] (closed_form) = -0.3553549999999985 y[1] (numeric) = -0.3553549999999329 absolute error = 6.566969190657801e-14 relative error = 1.848002473767874e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7599999999999966 y[1] (closed_form) = -0.3511199999999985 y[1] (numeric) = -0.3511199999999329 absolute error = 6.561418075534675e-14 relative error = 1.868711003512959e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7499999999999966 y[1] (closed_form) = -0.3468749999999985 y[1] (numeric) = -0.3468749999999329 absolute error = 6.566969190657801e-14 relative error = 1.893180307216671e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7399999999999965 y[1] (closed_form) = -0.3426199999999985 y[1] (numeric) = -0.3426199999999329 absolute error = 6.561418075534675e-14 relative error = 1.915071529839094e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7299999999999965 y[1] (closed_form) = -0.3383549999999985 y[1] (numeric) = -0.3383549999999329 absolute error = 6.561418075534675e-14 relative error = 1.939211205844366e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7199999999999965 y[1] (closed_form) = -0.3340799999999985 y[1] (numeric) = -0.3340799999999329 absolute error = 6.555866960411549e-14 relative error = 1.96236439188565e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7099999999999965 y[1] (closed_form) = -0.3297949999999985 y[1] (numeric) = -0.3297949999999329 absolute error = 6.561418075534675e-14 relative error = 1.989544436857655e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6999999999999965 y[1] (closed_form) = -0.3254999999999985 y[1] (numeric) = -0.3254999999999329 absolute error = 6.561418075534675e-14 relative error = 2.015796643789464e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6899999999999965 y[1] (closed_form) = -0.3211949999999985 y[1] (numeric) = -0.3211949999999329 absolute error = 6.561418075534675e-14 relative error = 2.042814513157025e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6799999999999965 y[1] (closed_form) = -0.3168799999999985 y[1] (numeric) = -0.3168799999999329 absolute error = 6.561418075534675e-14 relative error = 2.070631808739809e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6699999999999965 y[1] (closed_form) = -0.3125549999999985 y[1] (numeric) = -0.3125549999999329 absolute error = 6.555866960411549e-14 relative error = 2.097508265876912e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6599999999999965 y[1] (closed_form) = -0.3082199999999985 y[1] (numeric) = -0.3082199999999329 absolute error = 6.561418075534675e-14 relative error = 2.128809965458019e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6499999999999965 y[1] (closed_form) = -0.3038749999999985 y[1] (numeric) = -0.3038749999999329 absolute error = 6.555866960411549e-14 relative error = 2.157422282323844e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6399999999999965 y[1] (closed_form) = -0.2995199999999985 y[1] (numeric) = -0.2995199999999328 absolute error = 6.561418075534675e-14 relative error = 2.190644389534825e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6299999999999965 y[1] (closed_form) = -0.2951549999999984 y[1] (numeric) = -0.2951549999999329 absolute error = 6.555866960411549e-14 relative error = 2.221160732635932e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6199999999999964 y[1] (closed_form) = -0.2907799999999984 y[1] (numeric) = -0.2907799999999328 absolute error = 6.561418075534675e-14 relative error = 2.256488780361342e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6099999999999964 y[1] (closed_form) = -0.2863949999999985 y[1] (numeric) = -0.2863949999999329 absolute error = 6.555866960411549e-14 relative error = 2.289099656213127e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5999999999999964 y[1] (closed_form) = -0.2819999999999984 y[1] (numeric) = -0.2819999999999328 absolute error = 6.561418075534675e-14 relative error = 2.326743998416565e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5899999999999964 y[1] (closed_form) = -0.2775949999999984 y[1] (numeric) = -0.2775949999999329 absolute error = 6.555866960411549e-14 relative error = 2.361666082030147e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5799999999999964 y[1] (closed_form) = -0.2731799999999984 y[1] (numeric) = -0.2731799999999328 absolute error = 6.566969190657801e-14 relative error = 2.403898232175796e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5699999999999964 y[1] (closed_form) = -0.2687549999999984 y[1] (numeric) = -0.2687549999999329 absolute error = 6.555866960411549e-14 relative error = 2.439346974162932e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5599999999999964 y[1] (closed_form) = -0.2643199999999984 y[1] (numeric) = -0.2643199999999327 absolute error = 6.566969190657801e-14 relative error = 2.484476842712561e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5499999999999964 y[1] (closed_form) = -0.2598749999999984 y[1] (numeric) = -0.2598749999999329 absolute error = 6.555866960411549e-14 relative error = 2.522700129066509e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5399999999999964 y[1] (closed_form) = -0.2554199999999984 y[1] (numeric) = -0.2554199999999328 absolute error = 6.561418075534675e-14 relative error = 2.5688740410049e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5299999999999964 y[1] (closed_form) = -0.2509549999999984 y[1] (numeric) = -0.2509549999999329 absolute error = 6.550315845288424e-14 relative error = 2.610155543937545e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5199999999999964 y[1] (closed_form) = -0.2464799999999984 y[1] (numeric) = -0.2464799999999329 absolute error = 6.550315845288424e-14 relative error = 2.657544565599021e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5099999999999963 y[1] (closed_form) = -0.2419949999999984 y[1] (numeric) = -0.2419949999999328 absolute error = 6.550315845288424e-14 relative error = 2.706798010408673e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4999999999999963 y[1] (closed_form) = -0.2374999999999984 y[1] (numeric) = -0.2374999999999328 absolute error = 6.550315845288424e-14 relative error = 2.758027724331987e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4899999999999963 y[1] (closed_form) = -0.2329949999999983 y[1] (numeric) = -0.2329949999999328 absolute error = 6.550315845288424e-14 relative error = 2.81135468370071e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4799999999999963 y[1] (closed_form) = -0.2284799999999983 y[1] (numeric) = -0.2284799999999328 absolute error = 6.550315845288424e-14 relative error = 2.866909946292223e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4699999999999963 y[1] (closed_form) = -0.2239549999999983 y[1] (numeric) = -0.2239549999999328 absolute error = 6.550315845288424e-14 relative error = 2.9248357238233e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4599999999999963 y[1] (closed_form) = -0.2194199999999983 y[1] (numeric) = -0.2194199999999328 absolute error = 6.550315845288424e-14 relative error = 2.98528659433437e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4499999999999963 y[1] (closed_form) = -0.2148749999999983 y[1] (numeric) = -0.2148749999999328 absolute error = 6.550315845288424e-14 relative error = 3.048430876225003e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4399999999999963 y[1] (closed_form) = -0.2103199999999983 y[1] (numeric) = -0.2103199999999328 absolute error = 6.550315845288424e-14 relative error = 3.114452189657891e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4299999999999963 y[1] (closed_form) = -0.2057549999999983 y[1] (numeric) = -0.2057549999999328 absolute error = 6.550315845288424e-14 relative error = 3.18355123583314e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4199999999999963 y[1] (closed_form) = -0.2011799999999983 y[1] (numeric) = -0.2011799999999328 absolute error = 6.547540287726861e-14 relative error = 3.254568191533411e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4099999999999963 y[1] (closed_form) = -0.1965949999999983 y[1] (numeric) = -0.1965949999999328 absolute error = 6.547540287726861e-14 relative error = 3.330471419785304e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3999999999999962 y[1] (closed_form) = -0.1919999999999983 y[1] (numeric) = -0.1919999999999328 absolute error = 6.547540287726861e-14 relative error = 3.410177233191104e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3899999999999962 y[1] (closed_form) = -0.1873949999999983 y[1] (numeric) = -0.1873949999999328 absolute error = 6.544764730165298e-14 relative error = 3.492496987734656e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3799999999999962 y[1] (closed_form) = -0.1827799999999982 y[1] (numeric) = -0.1827799999999328 absolute error = 6.544764730165298e-14 relative error = 3.580678810682438e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3699999999999962 y[1] (closed_form) = -0.1781549999999983 y[1] (numeric) = -0.1781549999999328 absolute error = 6.544764730165298e-14 relative error = 3.673635166099948e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3599999999999962 y[1] (closed_form) = -0.1735199999999982 y[1] (numeric) = -0.1735199999999328 absolute error = 6.541989172603735e-14 relative error = 3.770164345668396e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3499999999999962 y[1] (closed_form) = -0.1688749999999982 y[1] (numeric) = -0.1688749999999328 absolute error = 6.541989172603735e-14 relative error = 3.873864795028159e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3399999999999962 y[1] (closed_form) = -0.1642199999999982 y[1] (numeric) = -0.1642199999999328 absolute error = 6.541989172603735e-14 relative error = 3.983673835466938e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3299999999999962 y[1] (closed_form) = -0.1595549999999982 y[1] (numeric) = -0.1595549999999328 absolute error = 6.541989172603735e-14 relative error = 4.100146766070513e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3199999999999962 y[1] (closed_form) = -0.1548799999999982 y[1] (numeric) = -0.1548799999999328 absolute error = 6.541989172603735e-14 relative error = 4.223908298427047e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3099999999999962 y[1] (closed_form) = -0.1501949999999982 y[1] (numeric) = -0.1501949999999328 absolute error = 6.539213615042172e-14 relative error = 4.353815782843804e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2999999999999962 y[1] (closed_form) = -0.1454999999999982 y[1] (numeric) = -0.1454999999999328 absolute error = 6.539213615042172e-14 relative error = 4.494304890063405e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2899999999999961 y[1] (closed_form) = -0.1407949999999982 y[1] (numeric) = -0.1407949999999328 absolute error = 6.541989172603735e-14 relative error = 4.646464130547121e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2799999999999961 y[1] (closed_form) = -0.1360799999999982 y[1] (numeric) = -0.1360799999999328 absolute error = 6.539213615042172e-14 relative error = 4.805418588361449e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2699999999999961 y[1] (closed_form) = -0.1313549999999982 y[1] (numeric) = -0.1313549999999328 absolute error = 6.539213615042172e-14 relative error = 4.978275372115461e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2599999999999961 y[1] (closed_form) = -0.1266199999999982 y[1] (numeric) = -0.1266199999999328 absolute error = 6.539213615042172e-14 relative error = 5.164439752837046e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2499999999999961 y[1] (closed_form) = -0.1218749999999982 y[1] (numeric) = -0.1218749999999327 absolute error = 6.541989172603735e-14 relative error = 5.367785987777505e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2399999999999961 y[1] (closed_form) = -0.1171199999999981 y[1] (numeric) = -0.1171199999999327 absolute error = 6.540601393822953e-14 relative error = 5.584529878605752e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2299999999999961 y[1] (closed_form) = -0.1123549999999981 y[1] (numeric) = -0.1123549999999327 absolute error = 6.540601393822953e-14 relative error = 5.821371006028269e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2199999999999961 y[1] (closed_form) = -0.1075799999999981 y[1] (numeric) = -0.1075799999999327 absolute error = 6.541989172603735e-14 relative error = 6.081045893850018e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2099999999999961 y[1] (closed_form) = -0.1027949999999981 y[1] (numeric) = -0.1027949999999327 absolute error = 6.540601393822953e-14 relative error = 6.362762190595917e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1999999999999961 y[1] (closed_form) = -0.09799999999999812 y[1] (numeric) = -0.09799999999993271 absolute error = 6.540601393822953e-14 relative error = 6.674083054921509e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1899999999999961 y[1] (closed_form) = -0.0931949999999981 y[1] (numeric) = -0.09319499999993271 absolute error = 6.539213615042172e-14 relative error = 7.016700053696342e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1799999999999961 y[1] (closed_form) = -0.0883799999999981 y[1] (numeric) = -0.08837999999993271 absolute error = 6.539213615042172e-14 relative error = 7.398974445623798e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.169999999999996 y[1] (closed_form) = -0.08355499999999809 y[1] (numeric) = -0.0835549999999327 absolute error = 6.539213615042172e-14 relative error = 7.826238543525009e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.159999999999996 y[1] (closed_form) = -0.07871999999999808 y[1] (numeric) = -0.0787199999999327 absolute error = 6.537825836261391e-14 relative error = 8.305164934275343e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.149999999999996 y[1] (closed_form) = -0.07387499999999807 y[1] (numeric) = -0.0738749999999327 absolute error = 6.536438057480609e-14 relative error = 8.847970297774321e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.139999999999996 y[1] (closed_form) = -0.06901999999999807 y[1] (numeric) = -0.06901999999993269 absolute error = 6.537825836261391e-14 relative error = 9.472364294786401e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.129999999999996 y[1] (closed_form) = -0.06415499999999806 y[1] (numeric) = -0.0641549999999327 absolute error = 6.536438057480609e-14 relative error = 1.018850916916968e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.119999999999996 y[1] (closed_form) = -0.05927999999999805 y[1] (numeric) = -0.05927999999993269 absolute error = 6.535744168090218e-14 relative error = 1.102520946034149e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.109999999999996 y[1] (closed_form) = -0.05439499999999804 y[1] (numeric) = -0.05439499999993268 absolute error = 6.535744168090218e-14 relative error = 1.201533995420618e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.09999999999999598 y[1] (closed_form) = -0.04949999999999803 y[1] (numeric) = -0.04949999999993268 absolute error = 6.535050278699828e-14 relative error = 1.320212177515169e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.08999999999999597 y[1] (closed_form) = -0.04459499999999803 y[1] (numeric) = -0.04459499999993267 absolute error = 6.535050278699828e-14 relative error = 1.46542219502189e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.07999999999999596 y[1] (closed_form) = -0.03967999999999802 y[1] (numeric) = -0.03967999999993267 absolute error = 6.534356389309437e-14 relative error = 1.646763202951049e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.06999999999999595 y[1] (closed_form) = -0.034754999999998 y[1] (numeric) = -0.03475499999993267 absolute error = 6.533662499919046e-14 relative error = 1.879920155350143e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.05999999999999595 y[1] (closed_form) = -0.029819999999998 y[1] (numeric) = -0.02981999999993266 absolute error = 6.533662499919046e-14 relative error = 2.191033702186279e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.04999999999999594 y[1] (closed_form) = -0.02487499999999799 y[1] (numeric) = -0.02487499999993266 absolute error = 6.533315555223851e-14 relative error = 2.626458514663067e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.03999999999999593 y[1] (closed_form) = -0.01991999999999798 y[1] (numeric) = -0.01991999999993265 absolute error = 6.532968610528656e-14 relative error = 3.279602716129175e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.02999999999999592 y[1] (closed_form) = -0.01495499999999797 y[1] (numeric) = -0.01495499999993265 absolute error = 6.53262166583346e-14 relative error = 4.368185667558907e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.01999999999999591 y[1] (closed_form) = -0.009979999999997963 y[1] (numeric) = -0.00997999999993264 absolute error = 6.532274721138265e-14 relative error = 6.545365452043685e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.009999999999995901 y[1] (closed_form) = -0.004994999999997954 y[1] (numeric) = -0.004994999999932636 absolute error = 6.531841040269271e-14 relative error = 1.307675883938327e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.100886297209172e-15 y[1] (closed_form) = 2.050443148604587e-15 y[1] (numeric) = 6.736831145021105e-14 absolute error = 6.531786830160646e-14 relative error = 3185.548857868019 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 0 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.0100000000000041 y[1] (closed_form) = 0.005005000000002056 y[1] (numeric) = 0.005005000000067373 absolute error = 6.531754304095472e-14 relative error = 1.305045815003554e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.02000000000000411 y[1] (closed_form) = 0.01002000000000206 y[1] (numeric) = 0.01002000000006738 absolute error = 6.531407359400276e-14 relative error = 6.518370618162606e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.03000000000000412 y[1] (closed_form) = 0.01504500000000207 y[1] (numeric) = 0.01504500000006738 absolute error = 6.530886942357483e-14 relative error = 4.340901922470311e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.04000000000000413 y[1] (closed_form) = 0.02008000000000208 y[1] (numeric) = 0.02008000000006738 absolute error = 6.530193052967093e-14 relative error = 3.252088173788055e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.05000000000000414 y[1] (closed_form) = 0.02512500000000209 y[1] (numeric) = 0.02512500000006739 absolute error = 6.529846108271897e-14 relative error = 2.598943724685116e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.06000000000000415 y[1] (closed_form) = 0.0301800000000021 y[1] (numeric) = 0.03018000000006739 absolute error = 6.529499163576702e-14 relative error = 2.163518609534873e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.07000000000000416 y[1] (closed_form) = 0.03524500000000211 y[1] (numeric) = 0.0352450000000674 absolute error = 6.528805274186311e-14 relative error = 1.852406092831869e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.08000000000000417 y[1] (closed_form) = 0.04032000000000212 y[1] (numeric) = 0.0403200000000674 absolute error = 6.52811138479592e-14 relative error = 1.619075244244935e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.09000000000000417 y[1] (closed_form) = 0.04540500000000212 y[1] (numeric) = 0.04540500000006741 absolute error = 6.52811138479592e-14 relative error = 1.437751653957849e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1000000000000042 y[1] (closed_form) = 0.05050000000000213 y[1] (numeric) = 0.05050000000006741 absolute error = 6.52741749540553e-14 relative error = 1.292557919882229e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1100000000000042 y[1] (closed_form) = 0.05560500000000214 y[1] (numeric) = 0.05560500000006741 absolute error = 6.52741749540553e-14 relative error = 1.173890386728762e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1200000000000042 y[1] (closed_form) = 0.06072000000000215 y[1] (numeric) = 0.06072000000006741 absolute error = 6.526723606015139e-14 relative error = 1.074888604416158e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1300000000000042 y[1] (closed_form) = 0.06584500000000215 y[1] (numeric) = 0.06584500000006742 absolute error = 6.526723606015139e-14 relative error = 9.912253938818325e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1400000000000042 y[1] (closed_form) = 0.07098000000000217 y[1] (numeric) = 0.07098000000006743 absolute error = 6.526723606015139e-14 relative error = 9.195158644709693e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1500000000000042 y[1] (closed_form) = 0.07612500000000216 y[1] (numeric) = 0.07612500000006743 absolute error = 6.526723606015139e-14 relative error = 8.573692750101745e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1600000000000042 y[1] (closed_form) = 0.08128000000000218 y[1] (numeric) = 0.08128000000006744 absolute error = 6.525335827234358e-14 relative error = 8.028218291380638e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1700000000000042 y[1] (closed_form) = 0.08644500000000219 y[1] (numeric) = 0.08644500000006745 absolute error = 6.526723606015139e-14 relative error = 7.550145880056653e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1800000000000042 y[1] (closed_form) = 0.0916200000000022 y[1] (numeric) = 0.09162000000006745 absolute error = 6.525335827234358e-14 relative error = 7.122174009205633e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1900000000000042 y[1] (closed_form) = 0.09680500000000221 y[1] (numeric) = 0.09680500000006746 absolute error = 6.525335827234358e-14 relative error = 6.740701231583295e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2000000000000043 y[1] (closed_form) = 0.1020000000000022 y[1] (numeric) = 0.1020000000000675 absolute error = 6.525335827234358e-14 relative error = 6.397388065915899e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2100000000000043 y[1] (closed_form) = 0.1072050000000022 y[1] (numeric) = 0.1072050000000675 absolute error = 6.523948048453576e-14 relative error = 6.085488595171345e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2200000000000043 y[1] (closed_form) = 0.1124200000000022 y[1] (numeric) = 0.1124200000000675 absolute error = 6.525335827234358e-14 relative error = 5.804426104993977e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2300000000000043 y[1] (closed_form) = 0.1176450000000022 y[1] (numeric) = 0.1176450000000675 absolute error = 6.522560269672795e-14 relative error = 5.544273254003715e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2400000000000043 y[1] (closed_form) = 0.1228800000000023 y[1] (numeric) = 0.1228800000000675 absolute error = 6.522560269672795e-14 relative error = 5.308073136126852e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2500000000000043 y[1] (closed_form) = 0.1281250000000022 y[1] (numeric) = 0.1281250000000675 absolute error = 6.522560269672795e-14 relative error = 5.090778747061604e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2600000000000043 y[1] (closed_form) = 0.1333800000000022 y[1] (numeric) = 0.1333800000000675 absolute error = 6.522560269672795e-14 relative error = 4.890208629234281e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2700000000000043 y[1] (closed_form) = 0.1386450000000023 y[1] (numeric) = 0.1386450000000675 absolute error = 6.519784712111232e-14 relative error = 4.702502587263244e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2800000000000043 y[1] (closed_form) = 0.1439200000000023 y[1] (numeric) = 0.1439200000000675 absolute error = 6.519784712111232e-14 relative error = 4.530145019532469e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2900000000000043 y[1] (closed_form) = 0.1492050000000023 y[1] (numeric) = 0.1492050000000675 absolute error = 6.519784712111232e-14 relative error = 4.369682458437138e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3000000000000043 y[1] (closed_form) = 0.1545000000000023 y[1] (numeric) = 0.1545000000000675 absolute error = 6.517009154549669e-14 relative error = 4.218128902621082e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3100000000000043 y[1] (closed_form) = 0.1598050000000023 y[1] (numeric) = 0.1598050000000675 absolute error = 6.517009154549669e-14 relative error = 4.078100907073981e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000043 y[1] (closed_form) = 0.1651200000000023 y[1] (numeric) = 0.1651200000000675 absolute error = 6.517009154549669e-14 relative error = 3.946832094567331e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3300000000000043 y[1] (closed_form) = 0.1704450000000023 y[1] (numeric) = 0.1704450000000675 absolute error = 6.517009154549669e-14 relative error = 3.823526154800423e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000044 y[1] (closed_form) = 0.1757800000000023 y[1] (numeric) = 0.1757800000000675 absolute error = 6.517009154549669e-14 relative error = 3.707480461115931e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3500000000000044 y[1] (closed_form) = 0.1811250000000023 y[1] (numeric) = 0.1811250000000675 absolute error = 6.517009154549669e-14 relative error = 3.598072687121924e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3600000000000044 y[1] (closed_form) = 0.1864800000000023 y[1] (numeric) = 0.1864800000000675 absolute error = 6.517009154549669e-14 relative error = 3.49474965387687e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3700000000000044 y[1] (closed_form) = 0.1918450000000023 y[1] (numeric) = 0.1918450000000675 absolute error = 6.517009154549669e-14 relative error = 3.397017985639234e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3800000000000044 y[1] (closed_form) = 0.1972200000000024 y[1] (numeric) = 0.1972200000000675 absolute error = 6.517009154549669e-14 relative error = 3.304436241025044e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3900000000000044 y[1] (closed_form) = 0.2026050000000024 y[1] (numeric) = 0.2026050000000675 absolute error = 6.517009154549669e-14 relative error = 3.216608254756592e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4000000000000044 y[1] (closed_form) = 0.2080000000000024 y[1] (numeric) = 0.2080000000000675 absolute error = 6.517009154549669e-14 relative error = 3.133177478148843e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4100000000000044 y[1] (closed_form) = 0.2134050000000024 y[1] (numeric) = 0.2134050000000676 absolute error = 6.517009154549669e-14 relative error = 3.053822147817341e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4200000000000044 y[1] (closed_form) = 0.2188200000000024 y[1] (numeric) = 0.2188200000000676 absolute error = 6.517009154549669e-14 relative error = 2.978251144570696e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4300000000000044 y[1] (closed_form) = 0.2242450000000024 y[1] (numeric) = 0.2242450000000676 absolute error = 6.517009154549669e-14 relative error = 2.906200430132042e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4400000000000044 y[1] (closed_form) = 0.2296800000000024 y[1] (numeric) = 0.2296800000000676 absolute error = 6.517009154549669e-14 relative error = 2.837429969762104e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000045 y[1] (closed_form) = 0.2351250000000024 y[1] (numeric) = 0.2351250000000676 absolute error = 6.517009154549669e-14 relative error = 2.771721065199193e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4600000000000045 y[1] (closed_form) = 0.2405800000000024 y[1] (numeric) = 0.2405800000000676 absolute error = 6.517009154549669e-14 relative error = 2.708874035476599e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4700000000000045 y[1] (closed_form) = 0.2460450000000025 y[1] (numeric) = 0.2460450000000676 absolute error = 6.514233596988106e-14 relative error = 2.64757812472842e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4800000000000045 y[1] (closed_form) = 0.2515200000000025 y[1] (numeric) = 0.2515200000000676 absolute error = 6.517009154549669e-14 relative error = 2.591050077349557e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4900000000000045 y[1] (closed_form) = 0.2570050000000025 y[1] (numeric) = 0.2570050000000676 absolute error = 6.511458039426543e-14 relative error = 2.533591968804685e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5000000000000044 y[1] (closed_form) = 0.2625000000000025 y[1] (numeric) = 0.2625000000000677 absolute error = 6.522560269672795e-14 relative error = 2.484784864637232e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5100000000000044 y[1] (closed_form) = 0.2680050000000024 y[1] (numeric) = 0.2680050000000676 absolute error = 6.517009154549669e-14 relative error = 2.431674466726222e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5200000000000045 y[1] (closed_form) = 0.2735200000000025 y[1] (numeric) = 0.2735200000000677 absolute error = 6.522560269672795e-14 relative error = 2.384673979845253e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5300000000000045 y[1] (closed_form) = 0.2790450000000025 y[1] (numeric) = 0.2790450000000676 absolute error = 6.511458039426543e-14 relative error = 2.333479560438813e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5400000000000045 y[1] (closed_form) = 0.2845800000000025 y[1] (numeric) = 0.2845800000000677 absolute error = 6.522560269672795e-14 relative error = 2.291995315789141e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000045 y[1] (closed_form) = 0.2901250000000025 y[1] (numeric) = 0.2901250000000676 absolute error = 6.517009154549669e-14 relative error = 2.246276313502667e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5600000000000045 y[1] (closed_form) = 0.2956800000000025 y[1] (numeric) = 0.2956800000000678 absolute error = 6.52811138479592e-14 relative error = 2.207829878515918e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5700000000000045 y[1] (closed_form) = 0.3012450000000025 y[1] (numeric) = 0.3012450000000677 absolute error = 6.517009154549669e-14 relative error = 2.163358447293603e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5800000000000045 y[1] (closed_form) = 0.3068200000000025 y[1] (numeric) = 0.3068200000000678 absolute error = 6.522560269672795e-14 relative error = 2.125858897618389e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5900000000000045 y[1] (closed_form) = 0.3124050000000025 y[1] (numeric) = 0.3124050000000677 absolute error = 6.511458039426543e-14 relative error = 2.08430019987724e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6000000000000045 y[1] (closed_form) = 0.3180000000000026 y[1] (numeric) = 0.3180000000000677 absolute error = 6.517009154549669e-14 relative error = 2.049373947971578e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6100000000000045 y[1] (closed_form) = 0.3236050000000025 y[1] (numeric) = 0.3236050000000676 absolute error = 6.511458039426543e-14 relative error = 2.012162370614327e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6200000000000045 y[1] (closed_form) = 0.3292200000000026 y[1] (numeric) = 0.3292200000000677 absolute error = 6.517009154549669e-14 relative error = 1.979530148396093e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6300000000000046 y[1] (closed_form) = 0.3348450000000026 y[1] (numeric) = 0.3348450000000677 absolute error = 6.511458039426543e-14 relative error = 1.944618566628289e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6400000000000046 y[1] (closed_form) = 0.3404800000000026 y[1] (numeric) = 0.3404800000000677 absolute error = 6.517009154549669e-14 relative error = 1.914065188718756e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6500000000000046 y[1] (closed_form) = 0.3461250000000026 y[1] (numeric) = 0.3461250000000677 absolute error = 6.511458039426543e-14 relative error = 1.881244648443913e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6600000000000046 y[1] (closed_form) = 0.3517800000000026 y[1] (numeric) = 0.3517800000000677 absolute error = 6.511458039426543e-14 relative error = 1.851002910747199e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6700000000000046 y[1] (closed_form) = 0.3574450000000026 y[1] (numeric) = 0.3574450000000677 absolute error = 6.505906924303417e-14 relative error = 1.820114122257514e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6800000000000046 y[1] (closed_form) = 0.3631200000000026 y[1] (numeric) = 0.3631200000000677 absolute error = 6.511458039426543e-14 relative error = 1.79319730100972e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6900000000000046 y[1] (closed_form) = 0.3688050000000026 y[1] (numeric) = 0.3688050000000677 absolute error = 6.511458039426543e-14 relative error = 1.765555792200891e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7000000000000046 y[1] (closed_form) = 0.3745000000000026 y[1] (numeric) = 0.3745000000000677 absolute error = 6.511458039426543e-14 relative error = 1.738707086629238e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7100000000000046 y[1] (closed_form) = 0.3802050000000026 y[1] (numeric) = 0.3802050000000677 absolute error = 6.511458039426543e-14 relative error = 1.712617677154824e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7200000000000046 y[1] (closed_form) = 0.3859200000000026 y[1] (numeric) = 0.3859200000000677 absolute error = 6.505906924303417e-14 relative error = 1.685817507334e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7300000000000046 y[1] (closed_form) = 0.3916450000000027 y[1] (numeric) = 0.3916450000000677 absolute error = 6.505906924303417e-14 relative error = 1.661174513731408e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7400000000000047 y[1] (closed_form) = 0.3973800000000027 y[1] (numeric) = 0.3973800000000677 absolute error = 6.505906924303417e-14 relative error = 1.637200393654279e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7500000000000047 y[1] (closed_form) = 0.4031250000000027 y[1] (numeric) = 0.4031250000000678 absolute error = 6.511458039426543e-14 relative error = 1.615245405129054e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7600000000000047 y[1] (closed_form) = 0.4088800000000027 y[1] (numeric) = 0.4088800000000677 absolute error = 6.505906924303417e-14 relative error = 1.591153131555316e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7700000000000047 y[1] (closed_form) = 0.4146450000000027 y[1] (numeric) = 0.4146450000000678 absolute error = 6.511458039426543e-14 relative error = 1.570369361604867e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7800000000000047 y[1] (closed_form) = 0.4204200000000027 y[1] (numeric) = 0.4204200000000677 absolute error = 6.500355809180292e-14 relative error = 1.546157606484052e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7900000000000047 y[1] (closed_form) = 0.4262050000000027 y[1] (numeric) = 0.4262050000000678 absolute error = 6.511458039426543e-14 relative error = 1.527776079451555e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8000000000000047 y[1] (closed_form) = 0.4320000000000027 y[1] (numeric) = 0.4320000000000677 absolute error = 6.500355809180292e-14 relative error = 1.504711992865799e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8100000000000047 y[1] (closed_form) = 0.4378050000000027 y[1] (numeric) = 0.4378050000000678 absolute error = 6.511458039426543e-14 relative error = 1.487296408087277e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8200000000000047 y[1] (closed_form) = 0.4436200000000027 y[1] (numeric) = 0.4436200000000677 absolute error = 6.500355809180292e-14 relative error = 1.465298185199101e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8300000000000047 y[1] (closed_form) = 0.4494450000000028 y[1] (numeric) = 0.4494450000000679 absolute error = 6.511458039426543e-14 relative error = 1.448777501012694e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8400000000000047 y[1] (closed_form) = 0.4552800000000028 y[1] (numeric) = 0.4552800000000677 absolute error = 6.494804694057166e-14 relative error = 1.426551725104798e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8500000000000048 y[1] (closed_form) = 0.4611250000000028 y[1] (numeric) = 0.4611250000000678 absolute error = 6.505906924303417e-14 relative error = 1.410877077647791e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8600000000000048 y[1] (closed_form) = 0.4669800000000028 y[1] (numeric) = 0.4669800000000677 absolute error = 6.494804694057166e-14 relative error = 1.390810033418375e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8700000000000048 y[1] (closed_form) = 0.4728450000000028 y[1] (numeric) = 0.4728450000000678 absolute error = 6.505906924303417e-14 relative error = 1.375906887944967e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8800000000000048 y[1] (closed_form) = 0.4787200000000028 y[1] (numeric) = 0.4787200000000678 absolute error = 6.494804694057166e-14 relative error = 1.356702183751907e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8900000000000048 y[1] (closed_form) = 0.4846050000000028 y[1] (numeric) = 0.4846050000000678 absolute error = 6.500355809180292e-14 relative error = 1.341372005897639e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9000000000000048 y[1] (closed_form) = 0.4905000000000028 y[1] (numeric) = 0.4905000000000678 absolute error = 6.494804694057166e-14 relative error = 1.324119203681372e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9100000000000048 y[1] (closed_form) = 0.4964050000000029 y[1] (numeric) = 0.4964050000000678 absolute error = 6.494804694057166e-14 relative error = 1.308368105489898e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9200000000000048 y[1] (closed_form) = 0.5023200000000029 y[1] (numeric) = 0.5023200000000677 absolute error = 6.483702463810914e-14 relative error = 1.290751406237235e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9300000000000048 y[1] (closed_form) = 0.5082450000000028 y[1] (numeric) = 0.5082450000000677 absolute error = 6.483702463810914e-14 relative error = 1.275704131631571e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9400000000000048 y[1] (closed_form) = 0.5141800000000029 y[1] (numeric) = 0.5141800000000677 absolute error = 6.483702463810914e-14 relative error = 1.260979124783321e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9500000000000048 y[1] (closed_form) = 0.5201250000000028 y[1] (numeric) = 0.5201250000000677 absolute error = 6.483702463810914e-14 relative error = 1.246566203087888e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9600000000000048 y[1] (closed_form) = 0.5260800000000029 y[1] (numeric) = 0.5260800000000677 absolute error = 6.483702463810914e-14 relative error = 1.232455608236557e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9700000000000049 y[1] (closed_form) = 0.5320450000000029 y[1] (numeric) = 0.5320450000000677 absolute error = 6.483702463810914e-14 relative error = 1.218637984345474e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9800000000000049 y[1] (closed_form) = 0.5380200000000029 y[1] (numeric) = 0.5380200000000677 absolute error = 6.472600233564663e-14 relative error = 1.203040822565077e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9900000000000049 y[1] (closed_form) = 0.544005000000003 y[1] (numeric) = 0.5440050000000677 absolute error = 6.472600233564663e-14 relative error = 1.189805283694934e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.000000000000005 y[1] (closed_form) = 0.5500000000000029 y[1] (numeric) = 0.5500000000000677 absolute error = 6.472600233564663e-14 relative error = 1.17683640610266e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.010000000000004 y[1] (closed_form) = 0.5560050000000023 y[1] (numeric) = 0.5560050000000677 absolute error = 6.539213615042172e-14 relative error = 1.176106980160636e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.020000000000003 y[1] (closed_form) = 0.5620200000000016 y[1] (numeric) = 0.5620200000000676 absolute error = 6.59472476627343e-14 relative error = 1.173396812617596e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.030000000000002 y[1] (closed_form) = 0.5680450000000009 y[1] (numeric) = 0.5680450000000676 absolute error = 6.672440377997191e-14 relative error = 1.17463235799931e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (closed_form) = 0.5740800000000003 y[1] (numeric) = 0.5740800000000676 absolute error = 6.7390537594747e-14 relative error = 1.173887569585197e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999999 y[1] (closed_form) = 0.5801249999999997 y[1] (numeric) = 0.5801250000000677 absolute error = 6.80566714095221e-14 relative error = 1.173138054893723e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.059999999999998 y[1] (closed_form) = 0.5861799999999989 y[1] (numeric) = 0.5861800000000676 absolute error = 6.872280522429719e-14 relative error = 1.172383998503827e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.069999999999997 y[1] (closed_form) = 0.5922449999999982 y[1] (numeric) = 0.5922450000000677 absolute error = 6.94999613415348e-14 relative error = 1.173500178837052e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.079999999999996 y[1] (closed_form) = 0.5983199999999976 y[1] (numeric) = 0.5983200000000677 absolute error = 7.005507285384738e-14 relative error = 1.170862963862944e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.089999999999995 y[1] (closed_form) = 0.604404999999997 y[1] (numeric) = 0.6044050000000678 absolute error = 7.083222897108499e-14 relative error = 1.171933206559928e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.099999999999994 y[1] (closed_form) = 0.6104999999999963 y[1] (numeric) = 0.6105000000000677 absolute error = 7.138734048339757e-14 relative error = 1.169325806443866e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.109999999999993 y[1] (closed_form) = 0.6166049999999956 y[1] (numeric) = 0.6166050000000678 absolute error = 7.216449660063518e-14 relative error = 1.170352115221831e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999992 y[1] (closed_form) = 0.6227199999999949 y[1] (numeric) = 0.6227200000000677 absolute error = 7.271960811294775e-14 relative error = 1.167773768514715e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999991 y[1] (closed_form) = 0.6288449999999942 y[1] (numeric) = 0.6288450000000677 absolute error = 7.349676423018536e-14 relative error = 1.168758028292919e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999989 y[1] (closed_form) = 0.6349799999999935 y[1] (numeric) = 0.6349800000000676 absolute error = 7.405187574249794e-14 relative error = 1.166208002496121e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999988 y[1] (closed_form) = 0.6411249999999928 y[1] (numeric) = 0.6411250000000677 absolute error = 7.482903185973555e-14 relative error = 1.167151988453677e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.159999999999987 y[1] (closed_form) = 0.6472799999999922 y[1] (numeric) = 0.6472800000000676 absolute error = 7.538414337204813e-14 relative error = 1.16462957873021e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.169999999999986 y[1] (closed_form) = 0.6534449999999915 y[1] (numeric) = 0.6534450000000676 absolute error = 7.605027718682322e-14 relative error = 1.163835933962678e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.179999999999985 y[1] (closed_form) = 0.6596199999999908 y[1] (numeric) = 0.6596200000000675 absolute error = 7.671641100159832e-14 relative error = 1.163039492459285e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.189999999999984 y[1] (closed_form) = 0.6658049999999901 y[1] (numeric) = 0.6658050000000676 absolute error = 7.749356711883593e-14 relative error = 1.163907857688619e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.199999999999983 y[1] (closed_form) = 0.6719999999999894 y[1] (numeric) = 0.6720000000000675 absolute error = 7.815970093361102e-14 relative error = 1.163090787702563e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999982 y[1] (closed_form) = 0.6782049999999886 y[1] (numeric) = 0.6782050000000676 absolute error = 7.893685705084863e-14 relative error = 1.163908509239094e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.219999999999981 y[1] (closed_form) = 0.6844199999999879 y[1] (numeric) = 0.6844200000000675 absolute error = 7.960299086562372e-14 relative error = 1.163072248993675e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.22999999999998 y[1] (closed_form) = 0.6906449999999873 y[1] (numeric) = 0.6906450000000676 absolute error = 8.026912468039882e-14 relative error = 1.162234211214159e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.239999999999978 y[1] (closed_form) = 0.6968799999999865 y[1] (numeric) = 0.6968800000000676 absolute error = 8.104628079763643e-14 relative error = 1.162987613328521e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.249999999999977 y[1] (closed_form) = 0.7031249999999858 y[1] (numeric) = 0.7031250000000675 absolute error = 8.171241461241152e-14 relative error = 1.162132118932098e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.259999999999976 y[1] (closed_form) = 0.7093799999999851 y[1] (numeric) = 0.7093800000000675 absolute error = 8.237854842718662e-14 relative error = 1.161275316856809e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.269999999999975 y[1] (closed_form) = 0.7156449999999844 y[1] (numeric) = 0.7156450000000675 absolute error = 8.304468224196171e-14 relative error = 1.160417277308771e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.279999999999974 y[1] (closed_form) = 0.7219199999999837 y[1] (numeric) = 0.7219200000000675 absolute error = 8.382183835919932e-14 relative error = 1.161095943583793e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.289999999999973 y[1] (closed_form) = 0.728204999999983 y[1] (numeric) = 0.7282050000000674 absolute error = 8.43769498715119e-14 relative error = 1.158697755048563e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999972 y[1] (closed_form) = 0.7344999999999823 y[1] (numeric) = 0.7345000000000674 absolute error = 8.515410598874951e-14 relative error = 1.159347937219218e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.309999999999971 y[1] (closed_form) = 0.7408049999999815 y[1] (numeric) = 0.7408050000000673 absolute error = 8.58202398035246e-14 relative error = 1.15847273983743e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.31999999999997 y[1] (closed_form) = 0.7471199999999808 y[1] (numeric) = 0.7471200000000674 absolute error = 8.659739592076221e-14 relative error = 1.15908282365302e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.329999999999969 y[1] (closed_form) = 0.7534449999999802 y[1] (numeric) = 0.7534450000000672 absolute error = 8.704148513061227e-14 relative error = 1.155246701890842e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999967 y[1] (closed_form) = 0.7597799999999794 y[1] (numeric) = 0.7597800000000673 absolute error = 8.79296635503124e-14 relative error = 1.157304266370723e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.349999999999966 y[1] (closed_form) = 0.7661249999999786 y[1] (numeric) = 0.7661250000000671 absolute error = 8.848477506262498e-14 relative error = 1.154965248002969e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.359999999999965 y[1] (closed_form) = 0.7724799999999779 y[1] (numeric) = 0.7724800000000672 absolute error = 8.93729534823251e-14 relative error = 1.15696139035739e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.369999999999964 y[1] (closed_form) = 0.7788449999999771 y[1] (numeric) = 0.7788450000000671 absolute error = 8.992806499463768e-14 relative error = 1.154633656178576e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.379999999999963 y[1] (closed_form) = 0.7852199999999764 y[1] (numeric) = 0.7852200000000672 absolute error = 9.081624341433781e-14 relative error = 1.156570686105047e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.389999999999962 y[1] (closed_form) = 0.7916049999999757 y[1] (numeric) = 0.7916050000000671 absolute error = 9.137135492665038e-14 relative error = 1.154254393626281e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.399999999999961 y[1] (closed_form) = 0.797999999999975 y[1] (numeric) = 0.7980000000000671 absolute error = 9.214851104388799e-14 relative error = 1.154743246164046e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.40999999999996 y[1] (closed_form) = 0.8044049999999742 y[1] (numeric) = 0.804405000000067 absolute error = 9.281464485866309e-14 relative error = 1.153829785477043e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.419999999999959 y[1] (closed_form) = 0.8108199999999735 y[1] (numeric) = 0.810820000000067 absolute error = 9.35918009759007e-14 relative error = 1.154285796797116e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999958 y[1] (closed_form) = 0.8172449999999727 y[1] (numeric) = 0.8172450000000669 absolute error = 9.425793479067579e-14 relative error = 1.153362024737734e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.439999999999956 y[1] (closed_form) = 0.823679999999972 y[1] (numeric) = 0.8236800000000669 absolute error = 9.492406860545088e-14 relative error = 1.152438672851764e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.449999999999955 y[1] (closed_form) = 0.8301249999999711 y[1] (numeric) = 0.8301250000000668 absolute error = 9.570122472268849e-14 relative error = 1.152853181420772e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.459999999999954 y[1] (closed_form) = 0.8365799999999705 y[1] (numeric) = 0.8365800000000668 absolute error = 9.636735853746359e-14 relative error = 1.15192042049137e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.469999999999953 y[1] (closed_form) = 0.8430449999999696 y[1] (numeric) = 0.8430450000000668 absolute error = 9.71445146547012e-14 relative error = 1.152305210928298e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.479999999999952 y[1] (closed_form) = 0.849519999999969 y[1] (numeric) = 0.8495200000000667 absolute error = 9.769962616701378e-14 relative error = 1.150056810516731e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.489999999999951 y[1] (closed_form) = 0.8560049999999682 y[1] (numeric) = 0.8560050000000666 absolute error = 9.847678228425139e-14 relative error = 1.150422979822023e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.49999999999995 y[1] (closed_form) = 0.8624999999999674 y[1] (numeric) = 0.8625000000000665 absolute error = 9.914291609902648e-14 relative error = 1.149483085206148e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999949 y[1] (closed_form) = 0.8690049999999666 y[1] (numeric) = 0.8690050000000665 absolute error = 9.992007221626409e-14 relative error = 1.149821603054849e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.519999999999948 y[1] (closed_form) = 0.8755199999999659 y[1] (numeric) = 0.8755200000000664 absolute error = 1.004751837285767e-13 relative error = 1.147605808303415e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.529999999999947 y[1] (closed_form) = 0.8820449999999651 y[1] (numeric) = 0.8820450000000664 absolute error = 1.012523398458143e-13 relative error = 1.147927144826151e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.539999999999945 y[1] (closed_form) = 0.8885799999999643 y[1] (numeric) = 0.8885800000000663 absolute error = 1.020294959630519e-13 relative error = 1.148230839801211e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.549999999999944 y[1] (closed_form) = 0.8951249999999635 y[1] (numeric) = 0.8951250000000663 absolute error = 1.028066520802895e-13 relative error = 1.148517269434925e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.559999999999943 y[1] (closed_form) = 0.9016799999999627 y[1] (numeric) = 0.9016800000000662 absolute error = 1.034727858950646e-13 relative error = 1.147555517423796e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.569999999999942 y[1] (closed_form) = 0.908244999999962 y[1] (numeric) = 0.9082450000000662 absolute error = 1.042499420123022e-13 relative error = 1.147817406231871e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.579999999999941 y[1] (closed_form) = 0.9148199999999612 y[1] (numeric) = 0.9148200000000661 absolute error = 1.049160758270773e-13 relative error = 1.146849389246865e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.58999999999994 y[1] (closed_form) = 0.9214049999999604 y[1] (numeric) = 0.9214050000000662 absolute error = 1.058042542467774e-13 relative error = 1.148292599310639e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.599999999999939 y[1] (closed_form) = 0.9279999999999596 y[1] (numeric) = 0.928000000000066 absolute error = 1.0635936575909e-13 relative error = 1.146113855162658e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.609999999999938 y[1] (closed_form) = 0.9346049999999588 y[1] (numeric) = 0.9346050000000661 absolute error = 1.072475441787901e-13 relative error = 1.147517338113907e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.619999999999937 y[1] (closed_form) = 0.941219999999958 y[1] (numeric) = 0.9412200000000659 absolute error = 1.079136779935652e-13 relative error = 1.146529801678354e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.629999999999936 y[1] (closed_form) = 0.9478449999999572 y[1] (numeric) = 0.9478450000000659 absolute error = 1.086908341108028e-13 relative error = 1.146715276345898e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.639999999999934 y[1] (closed_form) = 0.9544799999999565 y[1] (numeric) = 0.9544800000000657 absolute error = 1.092459456231154e-13 relative error = 1.144559819201245e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.649999999999933 y[1] (closed_form) = 0.9611249999999556 y[1] (numeric) = 0.9611250000000657 absolute error = 1.101341240428155e-13 relative error = 1.145887621722675e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.659999999999932 y[1] (closed_form) = 0.9677799999999548 y[1] (numeric) = 0.9677800000000656 absolute error = 1.108002578575906e-13 relative error = 1.144890965483848e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.669999999999931 y[1] (closed_form) = 0.974444999999954 y[1] (numeric) = 0.9744450000000655 absolute error = 1.114663916723657e-13 relative error = 1.143896183698115e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.67999999999993 y[1] (closed_form) = 0.9811199999999533 y[1] (numeric) = 0.9811200000000654 absolute error = 1.121325254871408e-13 relative error = 1.142903268582295e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.689999999999929 y[1] (closed_form) = 0.9878049999999524 y[1] (numeric) = 0.9878050000000654 absolute error = 1.130207039068409e-13 relative error = 1.144160071135967e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.699999999999928 y[1] (closed_form) = 0.9944999999999516 y[1] (numeric) = 0.9945000000000653 absolute error = 1.13686837721616e-13 relative error = 1.143155733751851e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.709999999999927 y[1] (closed_form) = 1.001204999999951 y[1] (numeric) = 1.001205000000065 absolute error = 1.143529715363911e-13 relative error = 1.142153420492274e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.719999999999926 y[1] (closed_form) = 1.00791999999995 y[1] (numeric) = 1.007920000000065 absolute error = 1.152411499560912e-13 relative error = 1.143356119097716e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.729999999999924 y[1] (closed_form) = 1.014644999999949 y[1] (numeric) = 1.014645000000065 absolute error = 1.159072837708663e-13 relative error = 1.142343221233753e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.739999999999923 y[1] (closed_form) = 1.021379999999948 y[1] (numeric) = 1.021380000000065 absolute error = 1.165734175856414e-13 relative error = 1.14133248727846e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.749999999999922 y[1] (closed_form) = 1.028124999999948 y[1] (numeric) = 1.028125000000065 absolute error = 1.174615960053416e-13 relative error = 1.142483608562651e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.759999999999921 y[1] (closed_form) = 1.034879999999947 y[1] (numeric) = 1.034880000000065 absolute error = 1.181277298201167e-13 relative error = 1.141463066443672e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.76999999999992 y[1] (closed_form) = 1.041644999999946 y[1] (numeric) = 1.041645000000065 absolute error = 1.187938636348917e-13 relative error = 1.140444812147113e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.779999999999919 y[1] (closed_form) = 1.048419999999945 y[1] (numeric) = 1.048420000000065 absolute error = 1.196820420545919e-13 relative error = 1.14154672797732e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.789999999999918 y[1] (closed_form) = 1.055204999999944 y[1] (numeric) = 1.055205000000065 absolute error = 1.20348175869367e-13 relative error = 1.140519385990147e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.799999999999917 y[1] (closed_form) = 1.061999999999943 y[1] (numeric) = 1.062000000000065 absolute error = 1.212363542890671e-13 relative error = 1.141585256959261e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.809999999999916 y[1] (closed_form) = 1.068804999999942 y[1] (numeric) = 1.068805000000064 absolute error = 1.219024881038422e-13 relative error = 1.140549380886586e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.819999999999915 y[1] (closed_form) = 1.075619999999942 y[1] (numeric) = 1.075620000000064 absolute error = 1.225686219186173e-13 relative error = 1.139516017911752e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.829999999999913 y[1] (closed_form) = 1.082444999999941 y[1] (numeric) = 1.082445000000064 absolute error = 1.234568003383174e-13 relative error = 1.14053647380074e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.839999999999912 y[1] (closed_form) = 1.08927999999994 y[1] (numeric) = 1.089280000000064 absolute error = 1.241229341530925e-13 relative error = 1.139495209249223e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.849999999999911 y[1] (closed_form) = 1.096124999999939 y[1] (numeric) = 1.096125000000064 absolute error = 1.247890679678676e-13 relative error = 1.138456544352829e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.85999999999991 y[1] (closed_form) = 1.102979999999938 y[1] (numeric) = 1.102980000000064 absolute error = 1.256772463875677e-13 relative error = 1.139433592518221e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.869999999999909 y[1] (closed_form) = 1.109844999999938 y[1] (numeric) = 1.109845000000064 absolute error = 1.261213355974178e-13 relative error = 1.136386933287305e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.879999999999908 y[1] (closed_form) = 1.116719999999937 y[1] (numeric) = 1.116720000000064 absolute error = 1.270095140171179e-13 relative error = 1.137344312066813e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.889999999999907 y[1] (closed_form) = 1.123604999999936 y[1] (numeric) = 1.123605000000063 absolute error = 1.27675647831893e-13 relative error = 1.136303663937952e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.899999999999906 y[1] (closed_form) = 1.130499999999935 y[1] (numeric) = 1.130500000000063 absolute error = 1.283417816466681e-13 relative error = 1.135265649240827e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.909999999999905 y[1] (closed_form) = 1.137404999999934 y[1] (numeric) = 1.137405000000063 absolute error = 1.292299600663682e-13 relative error = 1.136182450986023e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.919999999999904 y[1] (closed_form) = 1.144319999999933 y[1] (numeric) = 1.144320000000063 absolute error = 1.296740492762183e-13 relative error = 1.133197438445765e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.929999999999902 y[1] (closed_form) = 1.151244999999932 y[1] (numeric) = 1.151245000000063 absolute error = 1.305622276959184e-13 relative error = 1.13409593697194e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.939999999999901 y[1] (closed_form) = 1.158179999999932 y[1] (numeric) = 1.158180000000063 absolute error = 1.314504061156185e-13 relative error = 1.134973891067246e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9499999999999 y[1] (closed_form) = 1.165124999999931 y[1] (numeric) = 1.165125000000063 absolute error = 1.321165399303936e-13 relative error = 1.133925887182933e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999899 y[1] (closed_form) = 1.17207999999993 y[1] (numeric) = 1.172080000000063 absolute error = 1.330047183500938e-13 relative error = 1.134775086599052e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999898 y[1] (closed_form) = 1.179044999999929 y[1] (numeric) = 1.179045000000063 absolute error = 1.338928967697939e-13 relative error = 1.135604635699248e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999897 y[1] (closed_form) = 1.186019999999928 y[1] (numeric) = 1.186020000000063 absolute error = 1.34559030584569e-13 relative error = 1.134542677059216e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999896 y[1] (closed_form) = 1.193004999999927 y[1] (numeric) = 1.193005000000063 absolute error = 1.354472090042691e-13 relative error = 1.135344856092618e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999895 y[1] (closed_form) = 1.199999999999926 y[1] (numeric) = 1.200000000000063 absolute error = 1.361133428190442e-13 relative error = 1.134277856825438e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.009999999999894 y[1] (closed_form) = 1.207004999999925 y[1] (numeric) = 1.207005000000063 absolute error = 1.370015212387443e-13 relative error = 1.135053469030806e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999893 y[1] (closed_form) = 1.214019999999925 y[1] (numeric) = 1.214020000000062 absolute error = 1.378896996584444e-13 relative error = 1.13581077460382e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999891 y[1] (closed_form) = 1.221044999999924 y[1] (numeric) = 1.221045000000062 absolute error = 1.385558334732195e-13 relative error = 1.134731590344567e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.03999999999989 y[1] (closed_form) = 1.228079999999923 y[1] (numeric) = 1.228080000000062 absolute error = 1.394440118929197e-13 relative error = 1.135463584562312e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999889 y[1] (closed_form) = 1.235124999999922 y[1] (numeric) = 1.235125000000062 absolute error = 1.403321903126198e-13 relative error = 1.136178041191205e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999888 y[1] (closed_form) = 1.242179999999921 y[1] (numeric) = 1.242180000000062 absolute error = 1.409983241273949e-13 relative error = 1.135087701680947e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999887 y[1] (closed_form) = 1.24924499999992 y[1] (numeric) = 1.249245000000062 absolute error = 1.41886502547095e-13 relative error = 1.135778030307138e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.079999999999886 y[1] (closed_form) = 1.256319999999919 y[1] (numeric) = 1.256320000000062 absolute error = 1.425526363618701e-13 relative error = 1.134684127944148e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.089999999999885 y[1] (closed_form) = 1.263404999999918 y[1] (numeric) = 1.263405000000062 absolute error = 1.434408147815702e-13 relative error = 1.135351013978728e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.099999999999884 y[1] (closed_form) = 1.270499999999918 y[1] (numeric) = 1.270500000000062 absolute error = 1.441069485963453e-13 relative error = 1.134253826024043e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999883 y[1] (closed_form) = 1.277604999999917 y[1] (numeric) = 1.277605000000062 absolute error = 1.449951270160454e-13 relative error = 1.134897930237084e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999882 y[1] (closed_form) = 1.284719999999916 y[1] (numeric) = 1.284720000000061 absolute error = 1.456612608308205e-13 relative error = 1.133797721144141e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.12999999999988 y[1] (closed_form) = 1.291844999999915 y[1] (numeric) = 1.291845000000061 absolute error = 1.467714838554457e-13 relative error = 1.136138498468898e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.139999999999879 y[1] (closed_form) = 1.298979999999914 y[1] (numeric) = 1.298980000000061 absolute error = 1.472155730652958e-13 relative error = 1.133316702838423e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.149999999999878 y[1] (closed_form) = 1.306124999999913 y[1] (numeric) = 1.306125000000061 absolute error = 1.481037514849959e-13 relative error = 1.133917132625176e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.159999999999877 y[1] (closed_form) = 1.313279999999912 y[1] (numeric) = 1.313280000000061 absolute error = 1.48769885299771e-13 relative error = 1.132811626612611e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.169999999999876 y[1] (closed_form) = 1.320444999999911 y[1] (numeric) = 1.320445000000061 absolute error = 1.496580637194711e-13 relative error = 1.133391119807952e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.179999999999875 y[1] (closed_form) = 1.32761999999991 y[1] (numeric) = 1.327620000000061 absolute error = 1.503241975342462e-13 relative error = 1.1322833155139e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.189999999999874 y[1] (closed_form) = 1.334804999999909 y[1] (numeric) = 1.33480500000006 absolute error = 1.512123759539463e-13 relative error = 1.13284244480622e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.199999999999873 y[1] (closed_form) = 1.341999999999908 y[1] (numeric) = 1.34200000000006 absolute error = 1.518785097687214e-13 relative error = 1.131732561614991e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.209999999999872 y[1] (closed_form) = 1.349204999999907 y[1] (numeric) = 1.34920500000006 absolute error = 1.527666881884215e-13 relative error = 1.132271880021435e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.219999999999871 y[1] (closed_form) = 1.356419999999906 y[1] (numeric) = 1.35642000000006 absolute error = 1.534328220031966e-13 relative error = 1.131160127417815e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.229999999999869 y[1] (closed_form) = 1.363644999999906 y[1] (numeric) = 1.36364500000006 absolute error = 1.540989558179717e-13 relative error = 1.130051852336806e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.239999999999868 y[1] (closed_form) = 1.370879999999905 y[1] (numeric) = 1.37088000000006 absolute error = 1.549871342376719e-13 relative error = 1.130566747181975e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.249999999999867 y[1] (closed_form) = 1.378124999999904 y[1] (numeric) = 1.378125000000059 absolute error = 1.556532680524469e-13 relative error = 1.129456820335295e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.259999999999866 y[1] (closed_form) = 1.385379999999903 y[1] (numeric) = 1.385380000000059 absolute error = 1.565414464721471e-13 relative error = 1.129953128182579e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.269999999999865 y[1] (closed_form) = 1.392644999999902 y[1] (numeric) = 1.392645000000059 absolute error = 1.572075802869222e-13 relative error = 1.128841738468405e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.279999999999864 y[1] (closed_form) = 1.399919999999901 y[1] (numeric) = 1.399920000000059 absolute error = 1.578737141016973e-13 relative error = 1.127733828373824e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.289999999999863 y[1] (closed_form) = 1.4072049999999 y[1] (numeric) = 1.407205000000059 absolute error = 1.589839371263224e-13 relative error = 1.129785192110131e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.299999999999862 y[1] (closed_form) = 1.414499999999899 y[1] (numeric) = 1.414500000000059 absolute error = 1.596500709410975e-13 relative error = 1.128667875158069e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.309999999999861 y[1] (closed_form) = 1.421804999999898 y[1] (numeric) = 1.421805000000059 absolute error = 1.605382493607976e-13 relative error = 1.129115802524321e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.31999999999986 y[1] (closed_form) = 1.429119999999897 y[1] (numeric) = 1.429120000000059 absolute error = 1.614264277804978e-13 relative error = 1.1295512467848e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.329999999999858 y[1] (closed_form) = 1.436444999999896 y[1] (numeric) = 1.436445000000058 absolute error = 1.620925615952729e-13 relative error = 1.128428596954875e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.339999999999857 y[1] (closed_form) = 1.443779999999895 y[1] (numeric) = 1.443780000000058 absolute error = 1.63202784619898e-13 relative error = 1.130385409272256e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.349999999999856 y[1] (closed_form) = 1.451124999999894 y[1] (numeric) = 1.451125000000058 absolute error = 1.638689184346731e-13 relative error = 1.129254326365303e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.359999999999855 y[1] (closed_form) = 1.458479999999893 y[1] (numeric) = 1.458480000000058 absolute error = 1.647570968543732e-13 relative error = 1.129649339410793e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.369999999999854 y[1] (closed_form) = 1.465844999999892 y[1] (numeric) = 1.465845000000058 absolute error = 1.656452752740734e-13 relative error = 1.130032679267491e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.379999999999853 y[1] (closed_form) = 1.473219999999891 y[1] (numeric) = 1.473220000000058 absolute error = 1.665334536937735e-13 relative error = 1.130404513200919e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.389999999999852 y[1] (closed_form) = 1.48060499999989 y[1] (numeric) = 1.480605000000058 absolute error = 1.671995875085486e-13 relative error = 1.12926531727612e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.399999999999851 y[1] (closed_form) = 1.487999999999889 y[1] (numeric) = 1.488000000000058 absolute error = 1.683098105331737e-13 relative error = 1.13111431809937e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.40999999999985 y[1] (closed_form) = 1.495404999999889 y[1] (numeric) = 1.495405000000057 absolute error = 1.687538997430238e-13 relative error = 1.128482917624566e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.419999999999848 y[1] (closed_form) = 1.502819999999887 y[1] (numeric) = 1.502820000000057 absolute error = 1.69864122767649e-13 relative error = 1.130302516386937e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.429999999999847 y[1] (closed_form) = 1.510244999999887 y[1] (numeric) = 1.510245000000057 absolute error = 1.70530256582424e-13 relative error = 1.129156240096387e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.439999999999846 y[1] (closed_form) = 1.517679999999886 y[1] (numeric) = 1.517680000000057 absolute error = 1.711963903971991e-13 relative error = 1.128013747280138e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.449999999999845 y[1] (closed_form) = 1.525124999999885 y[1] (numeric) = 1.525125000000057 absolute error = 1.723066134218243e-13 relative error = 1.129786826796737e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.459999999999844 y[1] (closed_form) = 1.532579999999884 y[1] (numeric) = 1.532580000000057 absolute error = 1.729727472365994e-13 relative error = 1.128637638730849e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.469999999999843 y[1] (closed_form) = 1.540044999999883 y[1] (numeric) = 1.540045000000057 absolute error = 1.736388810513745e-13 relative error = 1.127492255430119e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.479999999999842 y[1] (closed_form) = 1.547519999999882 y[1] (numeric) = 1.547520000000056 absolute error = 1.745270594710746e-13 relative error = 1.127785485622725e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.489999999999841 y[1] (closed_form) = 1.555004999999881 y[1] (numeric) = 1.555005000000056 absolute error = 1.754152378907747e-13 relative error = 1.128068642163776e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.49999999999984 y[1] (closed_form) = 1.56249999999988 y[1] (numeric) = 1.562500000000056 absolute error = 1.763034163104749e-13 relative error = 1.128341864387126e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.509999999999839 y[1] (closed_form) = 1.570004999999879 y[1] (numeric) = 1.570005000000056 absolute error = 1.7696955012525e-13 relative error = 1.127190997004873e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.519999999999837 y[1] (closed_form) = 1.577519999999878 y[1] (numeric) = 1.577520000000056 absolute error = 1.778577285449501e-13 relative error = 1.127451496938003e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.529999999999836 y[1] (closed_form) = 1.585044999999877 y[1] (numeric) = 1.585045000000056 absolute error = 1.787459069646502e-13 relative error = 1.12770241201142e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.539999999999835 y[1] (closed_form) = 1.592579999999876 y[1] (numeric) = 1.592580000000055 absolute error = 1.794120407794253e-13 relative error = 1.126549628774939e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.549999999999834 y[1] (closed_form) = 1.600124999999875 y[1] (numeric) = 1.600125000000055 absolute error = 1.803002191991254e-13 relative error = 1.126788339655587e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.559999999999833 y[1] (closed_form) = 1.607679999999874 y[1] (numeric) = 1.607680000000055 absolute error = 1.811883976188255e-13 relative error = 1.127017799679288e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.569999999999832 y[1] (closed_form) = 1.615244999999873 y[1] (numeric) = 1.615245000000055 absolute error = 1.818545314336006e-13 relative error = 1.125863453739928e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.579999999999831 y[1] (closed_form) = 1.622819999999872 y[1] (numeric) = 1.622820000000054 absolute error = 1.825206652483757e-13 relative error = 1.12471293950278e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.58999999999983 y[1] (closed_form) = 1.630404999999871 y[1] (numeric) = 1.630405000000054 absolute error = 1.834088436680759e-13 relative error = 1.124928123184671e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.599999999999829 y[1] (closed_form) = 1.63799999999987 y[1] (numeric) = 1.638000000000054 absolute error = 1.84074977482851e-13 relative error = 1.123778861311756e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.609999999999828 y[1] (closed_form) = 1.645604999999869 y[1] (numeric) = 1.645605000000054 absolute error = 1.851852005074761e-13 relative error = 1.125332023830086e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.619999999999826 y[1] (closed_form) = 1.653219999999868 y[1] (numeric) = 1.653220000000054 absolute error = 1.858513343222512e-13 relative error = 1.124177873013066e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.629999999999825 y[1] (closed_form) = 1.660844999999867 y[1] (numeric) = 1.660845000000054 absolute error = 1.869615573468764e-13 relative error = 1.125701419138399e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.639999999999824 y[1] (closed_form) = 1.668479999999866 y[1] (numeric) = 1.668480000000053 absolute error = 1.878497357665765e-13 relative error = 1.125873464270423e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.649999999999823 y[1] (closed_form) = 1.676124999999865 y[1] (numeric) = 1.676125000000053 absolute error = 1.887379141862766e-13 relative error = 1.126037223872276e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.659999999999822 y[1] (closed_form) = 1.683779999999864 y[1] (numeric) = 1.683780000000053 absolute error = 1.894040480010517e-13 relative error = 1.124874080943277e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.669999999999821 y[1] (closed_form) = 1.691444999999863 y[1] (numeric) = 1.691445000000053 absolute error = 1.905142710256769e-13 relative error = 1.126340324549083e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.67999999999982 y[1] (closed_form) = 1.699119999999862 y[1] (numeric) = 1.699120000000053 absolute error = 1.91180404840452e-13 relative error = 1.125173059233412e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.689999999999819 y[1] (closed_form) = 1.706804999999861 y[1] (numeric) = 1.706805000000053 absolute error = 1.920685832601521e-13 relative error = 1.125310643337509e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.699999999999818 y[1] (closed_form) = 1.71449999999986 y[1] (numeric) = 1.714500000000053 absolute error = 1.929567616798522e-13 relative error = 1.125440429745512e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.709999999999817 y[1] (closed_form) = 1.722204999999859 y[1] (numeric) = 1.722205000000052 absolute error = 1.938449400995523e-13 relative error = 1.125562520719474e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.719999999999815 y[1] (closed_form) = 1.729919999999858 y[1] (numeric) = 1.729920000000052 absolute error = 1.947331185192525e-13 relative error = 1.125677016967655e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.729999999999814 y[1] (closed_form) = 1.737644999999856 y[1] (numeric) = 1.737645000000052 absolute error = 1.956212969389526e-13 relative error = 1.125784017673165e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.739999999999813 y[1] (closed_form) = 1.745379999999855 y[1] (numeric) = 1.745380000000052 absolute error = 1.965094753586527e-13 relative error = 1.125883620522001e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.749999999999812 y[1] (closed_form) = 1.753124999999854 y[1] (numeric) = 1.753125000000052 absolute error = 1.973976537783528e-13 relative error = 1.125975921730448e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.759999999999811 y[1] (closed_form) = 1.760879999999853 y[1] (numeric) = 1.760880000000052 absolute error = 1.98285832198053e-13 relative error = 1.126061016071904e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.76999999999981 y[1] (closed_form) = 1.768644999999852 y[1] (numeric) = 1.768645000000051 absolute error = 1.989519660128281e-13 relative error = 1.124883546516371e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.779999999999809 y[1] (closed_form) = 1.776419999999851 y[1] (numeric) = 1.776420000000051 absolute error = 1.998401444325282e-13 relative error = 1.124960000633549e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.789999999999808 y[1] (closed_form) = 1.78420499999985 y[1] (numeric) = 1.784205000000051 absolute error = 2.007283228522283e-13 relative error = 1.125029482891513e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.799999999999807 y[1] (closed_form) = 1.791999999999849 y[1] (numeric) = 1.792000000000051 absolute error = 2.016165012719284e-13 relative error = 1.125092082990767e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.809999999999806 y[1] (closed_form) = 1.799804999999848 y[1] (numeric) = 1.799805000000051 absolute error = 2.022826350867035e-13 relative error = 1.123914174517354e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.819999999999804 y[1] (closed_form) = 1.807619999999847 y[1] (numeric) = 1.80762000000005 absolute error = 2.033928581113287e-13 relative error = 1.125196988921045e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.829999999999803 y[1] (closed_form) = 1.815444999999846 y[1] (numeric) = 1.81544500000005 absolute error = 2.042810365310288e-13 relative error = 1.125239467629403e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.839999999999802 y[1] (closed_form) = 1.823279999999845 y[1] (numeric) = 1.82328000000005 absolute error = 2.049471703458039e-13 relative error = 1.124057579449242e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.849999999999801 y[1] (closed_form) = 1.831124999999844 y[1] (numeric) = 1.83112500000005 absolute error = 2.05835348765504e-13 relative error = 1.124092286247643e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.8599999999998 y[1] (closed_form) = 1.838979999999843 y[1] (numeric) = 1.83898000000005 absolute error = 2.067235271852041e-13 relative error = 1.124120584156553e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.869999999999799 y[1] (closed_form) = 1.846844999999842 y[1] (numeric) = 1.846845000000049 absolute error = 2.073896609999792e-13 relative error = 1.122940262989027e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.879999999999798 y[1] (closed_form) = 1.854719999999841 y[1] (numeric) = 1.854720000000049 absolute error = 2.082778394196794e-13 relative error = 1.122961090729044e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.889999999999797 y[1] (closed_form) = 1.86260499999984 y[1] (numeric) = 1.862605000000049 absolute error = 2.091660178393795e-13 relative error = 1.122975713258568e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.899999999999796 y[1] (closed_form) = 1.870499999999839 y[1] (numeric) = 1.870500000000048 absolute error = 2.098321516541546e-13 relative error = 1.12179712191485e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.909999999999795 y[1] (closed_form) = 1.878404999999837 y[1] (numeric) = 1.878405000000048 absolute error = 2.109423746787797e-13 relative error = 1.12298665452231e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.919999999999793 y[1] (closed_form) = 1.886319999999836 y[1] (numeric) = 1.886320000000048 absolute error = 2.116085084935548e-13 relative error = 1.121805995237145e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.929999999999792 y[1] (closed_form) = 1.894244999999835 y[1] (numeric) = 1.894245000000048 absolute error = 2.122746423083299e-13 relative error = 1.120629286646386e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.939999999999791 y[1] (closed_form) = 1.902179999999834 y[1] (numeric) = 1.902180000000048 absolute error = 2.133848653329551e-13 relative error = 1.121791130876014e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.94999999999979 y[1] (closed_form) = 1.910124999999833 y[1] (numeric) = 1.910125000000047 absolute error = 2.142730437526552e-13 relative error = 1.121774982017794e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.959999999999789 y[1] (closed_form) = 1.918079999999832 y[1] (numeric) = 1.918080000000047 absolute error = 2.153832667772804e-13 relative error = 1.122910758556991e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.969999999999788 y[1] (closed_form) = 1.926044999999831 y[1] (numeric) = 1.926045000000047 absolute error = 2.160494005920555e-13 relative error = 1.121725611769582e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.979999999999787 y[1] (closed_form) = 1.93401999999983 y[1] (numeric) = 1.934020000000047 absolute error = 2.171596236166806e-13 relative error = 1.122840630483137e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.989999999999786 y[1] (closed_form) = 1.942004999999829 y[1] (numeric) = 1.942005000000047 absolute error = 2.180478020363807e-13 relative error = 1.122797325632014e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.999999999999785 y[1] (closed_form) = 1.949999999999828 y[1] (numeric) = 1.950000000000047 absolute error = 2.189359804560809e-13 relative error = 1.122748617723591e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.009999999999784 y[1] (closed_form) = 1.958004999999827 y[1] (numeric) = 1.958005000000046 absolute error = 2.19602114270856e-13 relative error = 1.12156053876714e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.019999999999782 y[1] (closed_form) = 1.966019999999826 y[1] (numeric) = 1.966020000000046 absolute error = 2.207123372954811e-13 relative error = 1.122635259537038e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.029999999999781 y[1] (closed_form) = 1.974044999999824 y[1] (numeric) = 1.974045000000046 absolute error = 2.216005157151812e-13 relative error = 1.122570740359014e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.03999999999978 y[1] (closed_form) = 1.982079999999823 y[1] (numeric) = 1.982080000000046 absolute error = 2.224886941348814e-13 relative error = 1.122501080354482e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.049999999999779 y[1] (closed_form) = 1.990124999999822 y[1] (numeric) = 1.990125000000046 absolute error = 2.233768725545815e-13 relative error = 1.122426342840784e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.059999999999778 y[1] (closed_form) = 1.998179999999821 y[1] (numeric) = 1.998180000000045 absolute error = 2.242650509742816e-13 relative error = 1.122346590268653e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.069999999999777 y[1] (closed_form) = 2.00624499999982 y[1] (numeric) = 2.006245000000045 absolute error = 2.251532293939817e-13 relative error = 1.122261884236481e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.079999999999776 y[1] (closed_form) = 2.014319999999819 y[1] (numeric) = 2.014320000000045 absolute error = 2.260414078136819e-13 relative error = 1.1221722855043e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.089999999999775 y[1] (closed_form) = 2.022404999999818 y[1] (numeric) = 2.022405000000045 absolute error = 2.26929586233382e-13 relative error = 1.122077854007493e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.099999999999774 y[1] (closed_form) = 2.030499999999817 y[1] (numeric) = 2.030500000000044 absolute error = 2.278177646530821e-13 relative error = 1.121978648870242e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.109999999999773 y[1] (closed_form) = 2.038604999999816 y[1] (numeric) = 2.038605000000044 absolute error = 2.287059430727822e-13 relative error = 1.121874728418712e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.119999999999771 y[1] (closed_form) = 2.046719999999814 y[1] (numeric) = 2.046720000000044 absolute error = 2.295941214924824e-13 relative error = 1.121766150193984e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.12999999999977 y[1] (closed_form) = 2.054844999999813 y[1] (numeric) = 2.054845000000044 absolute error = 2.304822999121825e-13 relative error = 1.121652970964737e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.139999999999769 y[1] (closed_form) = 2.062979999999812 y[1] (numeric) = 2.062980000000044 absolute error = 2.313704783318826e-13 relative error = 1.121535246739686e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.149999999999768 y[1] (closed_form) = 2.071124999999811 y[1] (numeric) = 2.071125000000043 absolute error = 2.322586567515827e-13 relative error = 1.121413032779788e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.159999999999767 y[1] (closed_form) = 2.07927999999981 y[1] (numeric) = 2.079280000000043 absolute error = 2.331468351712829e-13 relative error = 1.121286383610212e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.169999999999766 y[1] (closed_form) = 2.087444999999809 y[1] (numeric) = 2.087445000000043 absolute error = 2.34035013590983e-13 relative error = 1.121155353032077e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.179999999999765 y[1] (closed_form) = 2.095619999999808 y[1] (numeric) = 2.095620000000042 absolute error = 2.349231920106831e-13 relative error = 1.121019994133978e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.189999999999764 y[1] (closed_form) = 2.103804999999807 y[1] (numeric) = 2.103805000000042 absolute error = 2.353672812205332e-13 relative error = 1.118769473504221e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.199999999999763 y[1] (closed_form) = 2.111999999999806 y[1] (numeric) = 2.112000000000042 absolute error = 2.362554596402333e-13 relative error = 1.118633805114844e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.209999999999761 y[1] (closed_form) = 2.120204999999804 y[1] (numeric) = 2.120205000000042 absolute error = 2.375877272697835e-13 relative error = 1.120588467953832e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.21999999999976 y[1] (closed_form) = 2.128419999999803 y[1] (numeric) = 2.128420000000042 absolute error = 2.384759056894836e-13 relative error = 1.120436312802481e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.229999999999759 y[1] (closed_form) = 2.136644999999802 y[1] (numeric) = 2.136645000000041 absolute error = 2.389199948993337e-13 relative error = 1.118201642759353e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.239999999999758 y[1] (closed_form) = 2.144879999999801 y[1] (numeric) = 2.144880000000041 absolute error = 2.402522625288839e-13 relative error = 1.120119832013475e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.249999999999757 y[1] (closed_form) = 2.153124999999799 y[1] (numeric) = 2.153125000000041 absolute error = 2.41140440948584e-13 relative error = 1.119955603825168e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.259999999999756 y[1] (closed_form) = 2.161379999999799 y[1] (numeric) = 2.16138000000004 absolute error = 2.415845301584341e-13 relative error = 1.117732791820303e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.269999999999755 y[1] (closed_form) = 2.169644999999798 y[1] (numeric) = 2.16964500000004 absolute error = 2.424727085781342e-13 relative error = 1.11756858185628e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.279999999999754 y[1] (closed_form) = 2.177919999999796 y[1] (numeric) = 2.17792000000004 absolute error = 2.438049762076844e-13 relative error = 1.11943953959607e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.289999999999753 y[1] (closed_form) = 2.186204999999795 y[1] (numeric) = 2.186205000000039 absolute error = 2.442490654175344e-13 relative error = 1.117228555499403e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.299999999999752 y[1] (closed_form) = 2.194499999999794 y[1] (numeric) = 2.194500000000039 absolute error = 2.455813330470846e-13 relative error = 1.119076477772193e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.30999999999975 y[1] (closed_form) = 2.202804999999793 y[1] (numeric) = 2.202805000000039 absolute error = 2.460254222569347e-13 relative error = 1.116873360360803e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.319999999999749 y[1] (closed_form) = 2.211119999999791 y[1] (numeric) = 2.211120000000038 absolute error = 2.469136006766348e-13 relative error = 1.116690187220314e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.329999999999748 y[1] (closed_form) = 2.21944499999979 y[1] (numeric) = 2.219445000000038 absolute error = 2.478017790963349e-13 relative error = 1.116503356002777e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.339999999999747 y[1] (closed_form) = 2.227779999999789 y[1] (numeric) = 2.227780000000038 absolute error = 2.486899575160351e-13 relative error = 1.116312910233769e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.349999999999746 y[1] (closed_form) = 2.236124999999788 y[1] (numeric) = 2.236125000000037 absolute error = 2.491340467258851e-13 relative error = 1.114132916209553e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.359999999999745 y[1] (closed_form) = 2.244479999999787 y[1] (numeric) = 2.244480000000037 absolute error = 2.500222251455853e-13 relative error = 1.113942762446575e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.369999999999744 y[1] (closed_form) = 2.252844999999786 y[1] (numeric) = 2.252845000000037 absolute error = 2.509104035652854e-13 relative error = 1.113749075348323e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.379999999999743 y[1] (closed_form) = 2.261219999999784 y[1] (numeric) = 2.261220000000036 absolute error = 2.517985819849855e-13 relative error = 1.1135518966974e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.389999999999742 y[1] (closed_form) = 2.269604999999784 y[1] (numeric) = 2.269605000000036 absolute error = 2.522426711948356e-13 relative error = 1.111394587141197e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.399999999999741 y[1] (closed_form) = 2.277999999999782 y[1] (numeric) = 2.278000000000036 absolute error = 2.535749388243858e-13 relative error = 1.113147229255531e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.409999999999739 y[1] (closed_form) = 2.286404999999781 y[1] (numeric) = 2.286405000000035 absolute error = 2.544631172440859e-13 relative error = 1.112939821440691e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.419999999999738 y[1] (closed_form) = 2.29481999999978 y[1] (numeric) = 2.294820000000035 absolute error = 2.549072064539359e-13 relative error = 1.110793903024901e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.429999999999737 y[1] (closed_form) = 2.303244999999778 y[1] (numeric) = 2.303245000000035 absolute error = 2.562394740834861e-13 relative error = 1.112515056294536e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.439999999999736 y[1] (closed_form) = 2.311679999999777 y[1] (numeric) = 2.311680000000035 absolute error = 2.571276525031863e-13 relative error = 1.112297776955336e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.449999999999735 y[1] (closed_form) = 2.320124999999776 y[1] (numeric) = 2.320125000000034 absolute error = 2.580158309228864e-13 relative error = 1.1120772842968e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.459999999999734 y[1] (closed_form) = 2.328579999999775 y[1] (numeric) = 2.328580000000034 absolute error = 2.593480985524366e-13 relative error = 1.113760740676557e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.469999999999733 y[1] (closed_form) = 2.337044999999774 y[1] (numeric) = 2.337045000000034 absolute error = 2.602362769721367e-13 relative error = 1.11352702653206e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.479999999999732 y[1] (closed_form) = 2.345519999999773 y[1] (numeric) = 2.345520000000034 absolute error = 2.611244553918368e-13 relative error = 1.113290252872975e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.489999999999731 y[1] (closed_form) = 2.354004999999772 y[1] (numeric) = 2.354005000000034 absolute error = 2.620126338115369e-13 relative error = 1.113050455761829e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.49999999999973 y[1] (closed_form) = 2.36249999999977 y[1] (numeric) = 2.362500000000034 absolute error = 2.633449014410871e-13 relative error = 1.114687413507356e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.509999999999728 y[1] (closed_form) = 2.371004999999769 y[1] (numeric) = 2.371005000000033 absolute error = 2.642330798607873e-13 relative error = 1.114434933122507e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.519999999999727 y[1] (closed_form) = 2.379519999999768 y[1] (numeric) = 2.379520000000033 absolute error = 2.655653474903374e-13 relative error = 1.116045872656516e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.529999999999726 y[1] (closed_form) = 2.388044999999766 y[1] (numeric) = 2.388045000000033 absolute error = 2.664535259100376e-13 relative error = 1.115781008775227e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.539999999999725 y[1] (closed_form) = 2.396579999999765 y[1] (numeric) = 2.396580000000033 absolute error = 2.673417043297377e-13 relative error = 1.115513374599487e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.549999999999724 y[1] (closed_form) = 2.405124999999764 y[1] (numeric) = 2.405125000000032 absolute error = 2.682298827494378e-13 relative error = 1.115243002960196e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.559999999999723 y[1] (closed_form) = 2.413679999999763 y[1] (numeric) = 2.413680000000032 absolute error = 2.691180611691379e-13 relative error = 1.114969926291656e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.569999999999722 y[1] (closed_form) = 2.422244999999762 y[1] (numeric) = 2.422245000000032 absolute error = 2.704503287986881e-13 relative error = 1.116527555217225e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.579999999999721 y[1] (closed_form) = 2.43081999999976 y[1] (numeric) = 2.430820000000032 absolute error = 2.713385072183883e-13 relative error = 1.116242696778926e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.58999999999972 y[1] (closed_form) = 2.439404999999759 y[1] (numeric) = 2.439405000000032 absolute error = 2.726707748479384e-13 relative error = 1.117775747971187e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.599999999999719 y[1] (closed_form) = 2.447999999999758 y[1] (numeric) = 2.448000000000031 absolute error = 2.735589532676386e-13 relative error = 1.11747938426334e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.609999999999717 y[1] (closed_form) = 2.456604999999757 y[1] (numeric) = 2.456605000000031 absolute error = 2.744471316873387e-13 relative error = 1.117180546678713e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.619999999999716 y[1] (closed_form) = 2.465219999999756 y[1] (numeric) = 2.465220000000031 absolute error = 2.753353101070388e-13 relative error = 1.1168792647596e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.629999999999715 y[1] (closed_form) = 2.473844999999754 y[1] (numeric) = 2.473845000000031 absolute error = 2.76667577736589e-13 relative error = 1.118370705264948e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.639999999999714 y[1] (closed_form) = 2.482479999999753 y[1] (numeric) = 2.48248000000003 absolute error = 2.775557561562891e-13 relative error = 1.118058377736444e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.649999999999713 y[1] (closed_form) = 2.491124999999752 y[1] (numeric) = 2.49112500000003 absolute error = 2.784439345759893e-13 relative error = 1.117743728540386e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.659999999999712 y[1] (closed_form) = 2.499779999999751 y[1] (numeric) = 2.49978000000003 absolute error = 2.793321129956894e-13 relative error = 1.117426785539996e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.669999999999711 y[1] (closed_form) = 2.50844499999975 y[1] (numeric) = 2.50844500000003 absolute error = 2.802202914153895e-13 relative error = 1.117107576269033e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.67999999999971 y[1] (closed_form) = 2.517119999999748 y[1] (numeric) = 2.51712000000003 absolute error = 2.815525590449397e-13 relative error = 1.118550403019991e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.689999999999709 y[1] (closed_form) = 2.525804999999747 y[1] (numeric) = 2.525805000000029 absolute error = 2.824407374646398e-13 relative error = 1.118220676040582e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.699999999999708 y[1] (closed_form) = 2.534499999999746 y[1] (numeric) = 2.534500000000029 absolute error = 2.833289158843399e-13 relative error = 1.117888798123371e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.709999999999706 y[1] (closed_form) = 2.543204999999745 y[1] (numeric) = 2.543205000000029 absolute error = 2.842170943040401e-13 relative error = 1.117554795244853e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.719999999999705 y[1] (closed_form) = 2.551919999999743 y[1] (numeric) = 2.551920000000028 absolute error = 2.851052727237402e-13 relative error = 1.117218693077247e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.729999999999704 y[1] (closed_form) = 2.560644999999742 y[1] (numeric) = 2.560645000000028 absolute error = 2.864375403532904e-13 relative error = 1.118614803509738e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.739999999999703 y[1] (closed_form) = 2.56937999999974 y[1] (numeric) = 2.569380000000028 absolute error = 2.873257187729905e-13 relative error = 1.118268682612224e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.749999999999702 y[1] (closed_form) = 2.578124999999739 y[1] (numeric) = 2.578125000000028 absolute error = 2.882138971926906e-13 relative error = 1.117920570929337e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.759999999999701 y[1] (closed_form) = 2.586879999999738 y[1] (numeric) = 2.586880000000027 absolute error = 2.895461648222408e-13 relative error = 1.119287190833244e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.7699999999997 y[1] (closed_form) = 2.595644999999737 y[1] (numeric) = 2.595645000000027 absolute error = 2.899902540320909e-13 relative error = 1.117218471833091e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.779999999999699 y[1] (closed_form) = 2.604419999999736 y[1] (numeric) = 2.604420000000027 absolute error = 2.913225216616411e-13 relative error = 1.118569668723442e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.789999999999698 y[1] (closed_form) = 2.613204999999734 y[1] (numeric) = 2.613205000000026 absolute error = 2.922107000813412e-13 relative error = 1.118208101091843e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.799999999999697 y[1] (closed_form) = 2.621999999999733 y[1] (numeric) = 2.622000000000026 absolute error = 2.930988785010413e-13 relative error = 1.117844692986541e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.809999999999695 y[1] (closed_form) = 2.630804999999732 y[1] (numeric) = 2.630805000000026 absolute error = 2.939870569207415e-13 relative error = 1.117479467010179e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.819999999999694 y[1] (closed_form) = 2.639619999999731 y[1] (numeric) = 2.639620000000026 absolute error = 2.948752353404416e-13 relative error = 1.117112445505306e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.829999999999693 y[1] (closed_form) = 2.648444999999729 y[1] (numeric) = 2.648445000000025 absolute error = 2.957634137601417e-13 relative error = 1.116743650557863e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.839999999999692 y[1] (closed_form) = 2.657279999999728 y[1] (numeric) = 2.657280000000025 absolute error = 2.970956813896919e-13 relative error = 1.118044321222161e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.849999999999691 y[1] (closed_form) = 2.666124999999727 y[1] (numeric) = 2.666125000000025 absolute error = 2.97983859809392e-13 relative error = 1.117666500293207e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.85999999999969 y[1] (closed_form) = 2.674979999999725 y[1] (numeric) = 2.674980000000024 absolute error = 2.988720382290921e-13 relative error = 1.117287001133178e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.869999999999689 y[1] (closed_form) = 2.683844999999724 y[1] (numeric) = 2.683845000000024 absolute error = 2.997602166487923e-13 relative error = 1.116905844595433e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.879999999999688 y[1] (closed_form) = 2.692719999999723 y[1] (numeric) = 2.692720000000024 absolute error = 3.006483950684924e-13 relative error = 1.116523051295802e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.889999999999687 y[1] (closed_form) = 2.701604999999721 y[1] (numeric) = 2.701605000000023 absolute error = 3.015365734881925e-13 relative error = 1.11613864161572e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.899999999999685 y[1] (closed_form) = 2.71049999999972 y[1] (numeric) = 2.710500000000023 absolute error = 3.028688411177427e-13 relative error = 1.117391038988283e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.909999999999684 y[1] (closed_form) = 2.719404999999719 y[1] (numeric) = 2.719405000000022 absolute error = 3.033129303275928e-13 relative error = 1.115365053486421e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.919999999999683 y[1] (closed_form) = 2.728319999999718 y[1] (numeric) = 2.728320000000022 absolute error = 3.042011087472929e-13 relative error = 1.114975914655628e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.929999999999682 y[1] (closed_form) = 2.737244999999716 y[1] (numeric) = 2.737245000000021 absolute error = 3.05089287166993e-13 relative error = 1.114585238687164e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.939999999999681 y[1] (closed_form) = 2.746179999999715 y[1] (numeric) = 2.746180000000021 absolute error = 3.064215547965432e-13 relative error = 1.115810161011205e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.94999999999968 y[1] (closed_form) = 2.755124999999714 y[1] (numeric) = 2.755125000000021 absolute error = 3.073097332162433e-13 relative error = 1.115411218061886e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.959999999999679 y[1] (closed_form) = 2.764079999999712 y[1] (numeric) = 2.76408000000002 absolute error = 3.081979116359435e-13 relative error = 1.115010823261178e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.969999999999678 y[1] (closed_form) = 2.773044999999711 y[1] (numeric) = 2.77304500000002 absolute error = 3.090860900556436e-13 relative error = 1.114608995006124e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.979999999999677 y[1] (closed_form) = 2.78201999999971 y[1] (numeric) = 2.78202000000002 absolute error = 3.099742684753437e-13 relative error = 1.114205751487682e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.989999999999676 y[1] (closed_form) = 2.791004999999708 y[1] (numeric) = 2.791005000000019 absolute error = 3.108624468950438e-13 relative error = 1.113801110693375e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.999999999999674 y[1] (closed_form) = 2.799999999999707 y[1] (numeric) = 2.800000000000019 absolute error = 3.11750625314744e-13 relative error = 1.113395090409916e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.009999999999677 y[1] (closed_form) = 2.80900499999971 y[1] (numeric) = 2.809005000000019 absolute error = 3.090860900556436e-13 relative error = 1.100340120632308e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.019999999999681 y[1] (closed_form) = 2.818019999999712 y[1] (numeric) = 2.818020000000018 absolute error = 3.059774655866931e-13 relative error = 1.085788836086062e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.029999999999684 y[1] (closed_form) = 2.827044999999715 y[1] (numeric) = 2.827045000000018 absolute error = 3.028688411177427e-13 relative error = 1.071326565787857e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.039999999999687 y[1] (closed_form) = 2.836079999999717 y[1] (numeric) = 2.836080000000017 absolute error = 2.997602166487923e-13 relative error = 1.056952612933423e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.049999999999691 y[1] (closed_form) = 2.84512499999972 y[1] (numeric) = 2.845125000000017 absolute error = 2.966515921798418e-13 relative error = 1.042666287702196e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.059999999999694 y[1] (closed_form) = 2.854179999999723 y[1] (numeric) = 2.854180000000017 absolute error = 2.939870569207415e-13 relative error = 1.030022832900413e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.069999999999697 y[1] (closed_form) = 2.863244999999726 y[1] (numeric) = 2.863245000000016 absolute error = 2.90878432451791e-13 relative error = 1.015904794915625e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.079999999999701 y[1] (closed_form) = 2.872319999999728 y[1] (numeric) = 2.872320000000016 absolute error = 2.877698079828406e-13 relative error = 1.001872381847662e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.089999999999704 y[1] (closed_form) = 2.881404999999731 y[1] (numeric) = 2.881405000000016 absolute error = 2.851052727237402e-13 relative error = 9.8946615530884e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.099999999999707 y[1] (closed_form) = 2.890499999999734 y[1] (numeric) = 2.890500000000016 absolute error = 2.819966482547898e-13 relative error = 9.755981603695406e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.109999999999711 y[1] (closed_form) = 2.899604999999736 y[1] (numeric) = 2.899605000000016 absolute error = 2.793321129956894e-13 relative error = 9.633453970306809e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.119999999999714 y[1] (closed_form) = 2.90871999999974 y[1] (numeric) = 2.908720000000015 absolute error = 2.757793993168889e-13 relative error = 9.481125695045023e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.129999999999717 y[1] (closed_form) = 2.917844999999742 y[1] (numeric) = 2.917845000000015 absolute error = 2.731148640577885e-13 relative error = 9.360156692963904e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.139999999999721 y[1] (closed_form) = 2.926979999999745 y[1] (numeric) = 2.926980000000015 absolute error = 2.700062395888381e-13 relative error = 9.224738111940006e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.149999999999724 y[1] (closed_form) = 2.936124999999747 y[1] (numeric) = 2.936125000000015 absolute error = 2.673417043297377e-13 relative error = 9.10525622477792e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.159999999999727 y[1] (closed_form) = 2.94527999999975 y[1] (numeric) = 2.945280000000015 absolute error = 2.642330798607873e-13 relative error = 8.97140780709507e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.169999999999731 y[1] (closed_form) = 2.954444999999753 y[1] (numeric) = 2.954445000000014 absolute error = 2.611244553918368e-13 relative error = 8.838358994391793e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.179999999999734 y[1] (closed_form) = 2.963619999999756 y[1] (numeric) = 2.963620000000014 absolute error = 2.580158309228864e-13 relative error = 8.706103715149299e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.189999999999737 y[1] (closed_form) = 2.972804999999759 y[1] (numeric) = 2.972805000000014 absolute error = 2.55351295663786e-13 relative error = 8.58957434691501e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.199999999999741 y[1] (closed_form) = 2.981999999999762 y[1] (numeric) = 2.982000000000014 absolute error = 2.517985819849855e-13 relative error = 8.443949764755386e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.209999999999744 y[1] (closed_form) = 2.991204999999765 y[1] (numeric) = 2.991205000000013 absolute error = 2.486899575160351e-13 relative error = 8.314039242247009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.219999999999748 y[1] (closed_form) = 3.000419999999767 y[1] (numeric) = 3.000420000000013 absolute error = 2.455813330470846e-13 relative error = 8.18489854910658e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.229999999999751 y[1] (closed_form) = 3.00964499999977 y[1] (numeric) = 3.009645000000013 absolute error = 2.429167977879843e-13 relative error = 8.071277435976762e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.239999999999754 y[1] (closed_form) = 3.018879999999773 y[1] (numeric) = 3.018880000000012 absolute error = 2.393640841091838e-13 relative error = 7.928903570503026e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.249999999999758 y[1] (closed_form) = 3.028124999999776 y[1] (numeric) = 3.028125000000012 absolute error = 2.362554596402333e-13 relative error = 7.80203788285658e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.259999999999761 y[1] (closed_form) = 3.037379999999779 y[1] (numeric) = 3.037380000000012 absolute error = 2.331468351712829e-13 relative error = 7.675919218909056e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.269999999999764 y[1] (closed_form) = 3.046644999999781 y[1] (numeric) = 3.046645000000011 absolute error = 2.300382107023324e-13 relative error = 7.550542012684409e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.279999999999768 y[1] (closed_form) = 3.055919999999785 y[1] (numeric) = 3.055920000000011 absolute error = 2.264854970235319e-13 relative error = 7.411368655709178e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.289999999999771 y[1] (closed_form) = 3.065204999999787 y[1] (numeric) = 3.065205000000011 absolute error = 2.233768725545815e-13 relative error = 7.287501898065446e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.299999999999774 y[1] (closed_form) = 3.07449999999979 y[1] (numeric) = 3.074500000000011 absolute error = 2.207123372954811e-13 relative error = 7.178804270466619e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.309999999999778 y[1] (closed_form) = 3.083804999999793 y[1] (numeric) = 3.08380500000001 absolute error = 2.171596236166806e-13 relative error = 7.0419375938717e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.319999999999781 y[1] (closed_form) = 3.093119999999796 y[1] (numeric) = 3.09312000000001 absolute error = 2.140509991477302e-13 relative error = 6.920229384819997e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.329999999999784 y[1] (closed_form) = 3.102444999999799 y[1] (numeric) = 3.10244500000001 absolute error = 2.109423746787797e-13 relative error = 6.79923011298487e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.339999999999788 y[1] (closed_form) = 3.111779999999801 y[1] (numeric) = 3.111780000000009 absolute error = 2.078337502098293e-13 relative error = 6.678934571526347e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.349999999999791 y[1] (closed_form) = 3.121124999999805 y[1] (numeric) = 3.121125000000009 absolute error = 2.047251257408789e-13 relative error = 6.55933760233543e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.359999999999794 y[1] (closed_form) = 3.130479999999808 y[1] (numeric) = 3.130480000000009 absolute error = 2.016165012719284e-13 relative error = 6.440434095472286e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.369999999999798 y[1] (closed_form) = 3.13984499999981 y[1] (numeric) = 3.139845000000009 absolute error = 1.989519660128281e-13 relative error = 6.336362655253367e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.379999999999801 y[1] (closed_form) = 3.149219999999813 y[1] (numeric) = 3.149220000000009 absolute error = 1.958433415438776e-13 relative error = 6.218788828468295e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.389999999999804 y[1] (closed_form) = 3.158604999999816 y[1] (numeric) = 3.158605000000009 absolute error = 1.927347170749272e-13 relative error = 6.101893623132313e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.399999999999808 y[1] (closed_form) = 3.167999999999819 y[1] (numeric) = 3.168000000000009 absolute error = 1.896260926059767e-13 relative error = 5.985672115087992e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.409999999999811 y[1] (closed_form) = 3.177404999999822 y[1] (numeric) = 3.177405000000009 absolute error = 1.865174681370263e-13 relative error = 5.870119425664552e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.419999999999814 y[1] (closed_form) = 3.186819999999825 y[1] (numeric) = 3.186820000000008 absolute error = 1.834088436680759e-13 relative error = 5.755230721160465e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.429999999999818 y[1] (closed_form) = 3.196244999999828 y[1] (numeric) = 3.196245000000008 absolute error = 1.803002191991254e-13 relative error = 5.64100121233307e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.439999999999821 y[1] (closed_form) = 3.205679999999831 y[1] (numeric) = 3.205680000000008 absolute error = 1.767475055203249e-13 relative error = 5.513572955514406e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.449999999999824 y[1] (closed_form) = 3.215124999999834 y[1] (numeric) = 3.215125000000008 absolute error = 1.740829702612245e-13 relative error = 5.414500844017994e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.459999999999828 y[1] (closed_form) = 3.224579999999837 y[1] (numeric) = 3.224580000000008 absolute error = 1.709743457922741e-13 relative error = 5.30222062384195e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.469999999999831 y[1] (closed_form) = 3.23404499999984 y[1] (numeric) = 3.234045000000008 absolute error = 1.674216321134736e-13 relative error = 5.176849181550717e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.479999999999834 y[1] (closed_form) = 3.243519999999843 y[1] (numeric) = 3.243520000000008 absolute error = 1.647570968543732e-13 relative error = 5.079577029103603e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.489999999999838 y[1] (closed_form) = 3.253004999999846 y[1] (numeric) = 3.253005000000007 absolute error = 1.612043831755727e-13 relative error = 4.955552886502799e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.499999999999841 y[1] (closed_form) = 3.262499999999849 y[1] (numeric) = 3.262500000000007 absolute error = 1.580957587066223e-13 relative error = 4.845847010164892e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.509999999999844 y[1] (closed_form) = 3.272004999999852 y[1] (numeric) = 3.272005000000007 absolute error = 1.554312234475219e-13 relative error = 4.750335755829498e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.519999999999848 y[1] (closed_form) = 3.281519999999855 y[1] (numeric) = 3.281520000000007 absolute error = 1.523225989785715e-13 relative error = 4.641830583954332e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.529999999999851 y[1] (closed_form) = 3.291044999999858 y[1] (numeric) = 3.291045000000007 absolute error = 1.483257960899209e-13 relative error = 4.506951320626952e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.539999999999854 y[1] (closed_form) = 3.300579999999861 y[1] (numeric) = 3.300580000000007 absolute error = 1.456612608308205e-13 relative error = 4.413201947258563e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.549999999999858 y[1] (closed_form) = 3.310124999999864 y[1] (numeric) = 3.310125000000006 absolute error = 1.4210854715202e-13 relative error = 4.293147453707213e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.559999999999861 y[1] (closed_form) = 3.319679999999867 y[1] (numeric) = 3.319680000000006 absolute error = 1.389999226830696e-13 relative error = 4.187148239681992e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.569999999999864 y[1] (closed_form) = 3.329244999999871 y[1] (numeric) = 3.329245000000006 absolute error = 1.354472090042691e-13 relative error = 4.068406170296099e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.579999999999868 y[1] (closed_form) = 3.338819999999873 y[1] (numeric) = 3.338820000000006 absolute error = 1.327826737451687e-13 relative error = 3.976934178697078e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.589999999999871 y[1] (closed_form) = 3.348404999999876 y[1] (numeric) = 3.348405000000005 absolute error = 1.292299600663682e-13 relative error = 3.85944830647347e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.599999999999874 y[1] (closed_form) = 3.35799999999988 y[1] (numeric) = 3.358000000000005 absolute error = 1.256772463875677e-13 relative error = 3.742621988909238e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.609999999999878 y[1] (closed_form) = 3.367604999999882 y[1] (numeric) = 3.367605000000005 absolute error = 1.225686219186173e-13 relative error = 3.639637722316648e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.619999999999881 y[1] (closed_form) = 3.377219999999886 y[1] (numeric) = 3.377220000000005 absolute error = 1.190159082398168e-13 relative error = 3.524079220181712e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.629999999999884 y[1] (closed_form) = 3.386844999999889 y[1] (numeric) = 3.386845000000005 absolute error = 1.154631945610163e-13 relative error = 3.409166777960611e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.639999999999888 y[1] (closed_form) = 3.396479999999892 y[1] (numeric) = 3.396480000000005 absolute error = 1.127986593019159e-13 relative error = 3.321045885797045e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.649999999999891 y[1] (closed_form) = 3.406124999999895 y[1] (numeric) = 3.406125000000005 absolute error = 1.096900348329655e-13 relative error = 3.220376082292014e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.659999999999894 y[1] (closed_form) = 3.415779999999898 y[1] (numeric) = 3.415780000000005 absolute error = 1.06581410364015e-13 relative error = 3.120265660084028e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.669999999999898 y[1] (closed_form) = 3.425444999999901 y[1] (numeric) = 3.425445000000005 absolute error = 1.034727858950646e-13 relative error = 3.020710765902462e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.679999999999901 y[1] (closed_form) = 3.435119999999904 y[1] (numeric) = 3.435120000000005 absolute error = 1.003641614261142e-13 relative error = 2.921707580117054e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.689999999999904 y[1] (closed_form) = 3.444804999999907 y[1] (numeric) = 3.444805000000005 absolute error = 9.725553695716371e-14 relative error = 2.823252316376873e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.699999999999908 y[1] (closed_form) = 3.454499999999911 y[1] (numeric) = 3.454500000000005 absolute error = 9.414691248821327e-14 relative error = 2.725341221253892e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.709999999999911 y[1] (closed_form) = 3.464204999999914 y[1] (numeric) = 3.464205000000005 absolute error = 9.103828801926284e-14 relative error = 2.627970573891127e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.719999999999914 y[1] (closed_form) = 3.473919999999917 y[1] (numeric) = 3.473920000000005 absolute error = 8.748557434046234e-14 relative error = 2.518353167040819e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.729999999999918 y[1] (closed_form) = 3.48364499999992 y[1] (numeric) = 3.483645000000005 absolute error = 8.43769498715119e-14 relative error = 2.422088067857484e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.739999999999921 y[1] (closed_form) = 3.493379999999923 y[1] (numeric) = 3.493380000000005 absolute error = 8.126832540256146e-14 relative error = 2.326352283535236e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.749999999999925 y[1] (closed_form) = 3.503124999999927 y[1] (numeric) = 3.503125000000004 absolute error = 7.771561172376096e-14 relative error = 2.218465276681894e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.759999999999928 y[1] (closed_form) = 3.51287999999993 y[1] (numeric) = 3.512880000000004 absolute error = 7.460698725481052e-14 relative error = 2.123812576996994e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.769999999999931 y[1] (closed_form) = 3.522644999999933 y[1] (numeric) = 3.522645000000004 absolute error = 7.149836278586008e-14 relative error = 2.02967834640906e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.779999999999935 y[1] (closed_form) = 3.532419999999936 y[1] (numeric) = 3.532420000000004 absolute error = 6.794564910705958e-14 relative error = 1.923487272381563e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.789999999999938 y[1] (closed_form) = 3.542204999999939 y[1] (numeric) = 3.542205000000004 absolute error = 6.483702463810914e-14 relative error = 1.830414237406086e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.799999999999941 y[1] (closed_form) = 3.551999999999943 y[1] (numeric) = 3.552000000000004 absolute error = 6.128431095930864e-14 relative error = 1.725346592322906e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.809999999999945 y[1] (closed_form) = 3.561804999999945 y[1] (numeric) = 3.561805000000004 absolute error = 5.861977570020827e-14 relative error = 1.645788461193388e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.819999999999948 y[1] (closed_form) = 3.571619999999949 y[1] (numeric) = 3.571620000000004 absolute error = 5.506706202140776e-14 relative error = 1.541795096382273e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.829999999999951 y[1] (closed_form) = 3.581444999999952 y[1] (numeric) = 3.581445000000004 absolute error = 5.195843755245733e-14 relative error = 1.450767429137067e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.839999999999955 y[1] (closed_form) = 3.591279999999955 y[1] (numeric) = 3.591280000000004 absolute error = 4.840572387365683e-14 relative error = 1.347868277429146e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.849999999999958 y[1] (closed_form) = 3.601124999999959 y[1] (numeric) = 3.601125000000004 absolute error = 4.485301019485632e-14 relative error = 1.245527722443871e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.859999999999961 y[1] (closed_form) = 3.610979999999962 y[1] (numeric) = 3.610980000000004 absolute error = 4.174438572590589e-14 relative error = 1.156040347105393e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.869999999999965 y[1] (closed_form) = 3.620844999999965 y[1] (numeric) = 3.620845000000004 absolute error = 3.819167204710538e-14 relative error = 1.054772354163345e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.879999999999968 y[1] (closed_form) = 3.630719999999968 y[1] (numeric) = 3.630720000000003 absolute error = 3.508304757815495e-14 relative error = 9.662834803607895e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.889999999999971 y[1] (closed_form) = 3.640604999999971 y[1] (numeric) = 3.640605000000003 absolute error = 3.197442310920451e-14 relative error = 8.78272240718363e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.899999999999975 y[1] (closed_form) = 3.650499999999975 y[1] (numeric) = 3.650500000000003 absolute error = 2.797762022055394e-14 relative error = 7.664051560212063e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.909999999999978 y[1] (closed_form) = 3.660404999999978 y[1] (numeric) = 3.660405000000003 absolute error = 2.486899575160351e-14 relative error = 6.794055781150899e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.919999999999981 y[1] (closed_form) = 3.670319999999982 y[1] (numeric) = 3.670320000000003 absolute error = 2.131628207280301e-14 relative error = 5.807744848624401e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.929999999999985 y[1] (closed_form) = 3.680244999999985 y[1] (numeric) = 3.680245000000003 absolute error = 1.77635683940025e-14 relative error = 4.826735283657087e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.939999999999988 y[1] (closed_form) = 3.690179999999988 y[1] (numeric) = 3.690180000000003 absolute error = 1.465494392505207e-14 relative error = 3.971335795286981e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.949999999999991 y[1] (closed_form) = 3.700124999999991 y[1] (numeric) = 3.700125000000003 absolute error = 1.154631945610163e-14 relative error = 3.120521457005278e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.959999999999995 y[1] (closed_form) = 3.710079999999995 y[1] (numeric) = 3.710080000000003 absolute error = 8.43769498715119e-15 relative error = 2.274262276595438e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.969999999999998 y[1] (closed_form) = 3.720044999999998 y[1] (numeric) = 3.720045000000003 absolute error = 5.329070518200751e-15 relative error = 1.432528509252107e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.980000000000001 y[1] (closed_form) = 3.730020000000001 y[1] (numeric) = 3.730020000000003 absolute error = 1.77635683940025e-15 relative error = 4.762325240616002e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.990000000000005 y[1] (closed_form) = 3.740005000000004 y[1] (numeric) = 3.740005000000004 absolute error = 8.881784197001252e-16 relative error = 2.374805433950287e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + 0.3 ; Iterations = 10000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %