##############ECHO OF PROBLEM################# ##############temp/sing2_backpostode.ode################# diff ( y , x , 1 ) = 1.0 / ( x * x + 1.0 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=20; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(-1.5); x_end=c(-2.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=2; array_given_rad_poles[1][1]=c(0.0); array_given_rad_poles[1][2]=c(1.0); array_given_ord_poles[1][1]=c(1.0); array_given_ord_poles[1][2]=c(0.0); /* 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(arctan(c(x))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -1.501 y[1] (closed_form) = -0.9831012735990039 y[1] (numeric) = -0.9831012735990039 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] = -1.502 y[1] (closed_form) = -0.9834085402617772 y[1] (numeric) = -0.9834085402617773 absolute error = 1.110223024625157e-16 relative error = 1.128954019790821e-14 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.503 y[1] (closed_form) = -0.9837155235700464 y[1] (numeric) = -0.9837155235700465 absolute error = 1.110223024625157e-16 relative error = 1.128601712613008e-14 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.504 y[1] (closed_form) = -0.9840222238578065 y[1] (numeric) = -0.9840222238578066 absolute error = 1.110223024625157e-16 relative error = 1.12824994975478e-14 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.504999999999999 y[1] (closed_form) = -0.9843286414586493 y[1] (numeric) = -0.9843286414586494 absolute error = 1.110223024625157e-16 relative error = 1.12789873002166e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.505999999999999 y[1] (closed_form) = -0.9846347767057648 y[1] (numeric) = -0.9846347767057649 absolute error = 1.110223024625157e-16 relative error = 1.127548052222536e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.506999999999999 y[1] (closed_form) = -0.9849406299319408 y[1] (numeric) = -0.984940629931941 absolute error = 2.220446049250313e-16 relative error = 2.254395830339282e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.507999999999999 y[1] (closed_form) = -0.9852462014695631 y[1] (numeric) = -0.9852462014695633 absolute error = 2.220446049250313e-16 relative error = 2.253696635357095e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.508999999999999 y[1] (closed_form) = -0.9855514916506163 y[1] (numeric) = -0.9855514916506165 absolute error = 2.220446049250313e-16 relative error = 2.252998517136306e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.509999999999999 y[1] (closed_form) = -0.9858565008066833 y[1] (numeric) = -0.9858565008066835 absolute error = 2.220446049250313e-16 relative error = 2.252301473321339e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.510999999999999 y[1] (closed_form) = -0.9861612292689462 y[1] (numeric) = -0.9861612292689466 absolute error = 3.33066907387547e-16 relative error = 3.377408252344839e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.511999999999999 y[1] (closed_form) = -0.9864656773681865 y[1] (numeric) = -0.9864656773681868 absolute error = 3.33066907387547e-16 relative error = 3.37636589927937e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.512999999999999 y[1] (closed_form) = -0.9867698454347849 y[1] (numeric) = -0.9867698454347852 absolute error = 3.33066907387547e-16 relative error = 3.375325147281866e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.513999999999998 y[1] (closed_form) = -0.9870737337987219 y[1] (numeric) = -0.9870737337987223 absolute error = 4.440892098500626e-16 relative error = 4.499047990477868e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.514999999999998 y[1] (closed_form) = -0.9873773427895783 y[1] (numeric) = -0.9873773427895788 absolute error = 4.440892098500626e-16 relative error = 4.497664576699764e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.515999999999998 y[1] (closed_form) = -0.987680672736535 y[1] (numeric) = -0.9876806727365356 absolute error = 5.551115123125783e-16 relative error = 5.620354104677868e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.516999999999998 y[1] (closed_form) = -0.9879837239683736 y[1] (numeric) = -0.9879837239683742 absolute error = 5.551115123125783e-16 relative error = 5.618630133732324e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.517999999999998 y[1] (closed_form) = -0.9882864968134766 y[1] (numeric) = -0.988286496813477 absolute error = 4.440892098500626e-16 relative error = 4.493527041823758e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.518999999999998 y[1] (closed_form) = -0.9885889915998272 y[1] (numeric) = -0.9885889915998277 absolute error = 5.551115123125783e-16 relative error = 5.615190104577686e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.519999999999998 y[1] (closed_form) = -0.9888912086550105 y[1] (numeric) = -0.988891208655011 absolute error = 5.551115123125783e-16 relative error = 5.613474034900004e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.520999999999998 y[1] (closed_form) = -0.989193148306213 y[1] (numeric) = -0.9891931483062136 absolute error = 6.661338147750939e-16 relative error = 6.734112705043593e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.521999999999998 y[1] (closed_form) = -0.9894948108802233 y[1] (numeric) = -0.989494810880224 absolute error = 6.661338147750939e-16 relative error = 6.732059708150691e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.522999999999997 y[1] (closed_form) = -0.9897961967034322 y[1] (numeric) = -0.9897961967034329 absolute error = 6.661338147750939e-16 relative error = 6.730009844387029e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.523999999999997 y[1] (closed_form) = -0.990097306101833 y[1] (numeric) = -0.9900973061018337 absolute error = 6.661338147750939e-16 relative error = 6.727963106957298e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.524999999999997 y[1] (closed_form) = -0.9903981394010216 y[1] (numeric) = -0.9903981394010224 absolute error = 7.771561172376096e-16 relative error = 7.846906070599267e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.525999999999997 y[1] (closed_form) = -0.9906986969261973 y[1] (numeric) = -0.9906986969261982 absolute error = 8.881784197001252e-16 relative error = 8.965171978683754e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.526999999999997 y[1] (closed_form) = -0.9909989790021625 y[1] (numeric) = -0.9909989790021634 absolute error = 8.881784197001252e-16 relative error = 8.962455446668903e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.527999999999997 y[1] (closed_form) = -0.9912989859533233 y[1] (numeric) = -0.9912989859533242 absolute error = 8.881784197001252e-16 relative error = 8.959743047108759e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.528999999999997 y[1] (closed_form) = -0.9915987181036897 y[1] (numeric) = -0.9915987181036907 absolute error = 9.992007221626409e-16 relative error = 1.007666411745155e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.529999999999997 y[1] (closed_form) = -0.9918981757768761 y[1] (numeric) = -0.9918981757768771 absolute error = 9.992007221626409e-16 relative error = 1.00736219358408e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.530999999999997 y[1] (closed_form) = -0.992197359296101 y[1] (numeric) = -0.9921973592961021 absolute error = 1.110223024625157e-15 relative error = 1.118953819240949e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.531999999999996 y[1] (closed_form) = -0.992496268984188 y[1] (numeric) = -0.9924962689841891 absolute error = 1.110223024625157e-15 relative error = 1.118616824385104e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.532999999999996 y[1] (closed_form) = -0.9927949051635656 y[1] (numeric) = -0.9927949051635667 absolute error = 1.110223024625157e-15 relative error = 1.118280340532413e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.533999999999996 y[1] (closed_form) = -0.9930932681562679 y[1] (numeric) = -0.9930932681562689 absolute error = 9.992007221626409e-16 relative error = 1.00614992992321e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.534999999999996 y[1] (closed_form) = -0.9933913582839341 y[1] (numeric) = -0.9933913582839351 absolute error = 9.992007221626409e-16 relative error = 1.005848011290074e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.535999999999996 y[1] (closed_form) = -0.9936891758678098 y[1] (numeric) = -0.9936891758678109 absolute error = 1.110223024625157e-15 relative error = 1.117273943993176e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.536999999999996 y[1] (closed_form) = -0.9939867212287469 y[1] (numeric) = -0.993986721228748 absolute error = 1.110223024625157e-15 relative error = 1.116939493168199e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.537999999999996 y[1] (closed_form) = -0.9942839946872034 y[1] (numeric) = -0.9942839946872045 absolute error = 1.110223024625157e-15 relative error = 1.116605547869074e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.538999999999996 y[1] (closed_form) = -0.9945809965632445 y[1] (numeric) = -0.9945809965632456 absolute error = 1.110223024625157e-15 relative error = 1.116272107009395e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.539999999999996 y[1] (closed_form) = -0.9948777271765422 y[1] (numeric) = -0.9948777271765434 absolute error = 1.221245327087672e-15 relative error = 1.227533086456323e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.540999999999995 y[1] (closed_form) = -0.9951741868463763 y[1] (numeric) = -0.9951741868463775 absolute error = 1.221245327087672e-15 relative error = 1.227167407705476e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.541999999999995 y[1] (closed_form) = -0.9954703758916337 y[1] (numeric) = -0.995470375891635 absolute error = 1.332267629550188e-15 relative error = 1.338329760297375e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.542999999999995 y[1] (closed_form) = -0.9957662946308099 y[1] (numeric) = -0.9957662946308112 absolute error = 1.332267629550188e-15 relative error = 1.337932039609896e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.543999999999995 y[1] (closed_form) = -0.9960619433820084 y[1] (numeric) = -0.9960619433820098 absolute error = 1.443289932012704e-15 relative error = 1.448996160933713e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.544999999999995 y[1] (closed_form) = -0.9963573224629414 y[1] (numeric) = -0.9963573224629428 absolute error = 1.443289932012704e-15 relative error = 1.448566593001965e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.545999999999995 y[1] (closed_form) = -0.9966524321909299 y[1] (numeric) = -0.9966524321909314 absolute error = 1.443289932012704e-15 relative error = 1.448137671063457e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.546999999999995 y[1] (closed_form) = -0.9969472728829042 y[1] (numeric) = -0.9969472728829056 absolute error = 1.443289932012704e-15 relative error = 1.447709393736638e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.547999999999995 y[1] (closed_form) = -0.997241844855404 y[1] (numeric) = -0.9972418448554055 absolute error = 1.443289932012704e-15 relative error = 1.447281759643745e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.548999999999995 y[1] (closed_form) = -0.997536148424579 y[1] (numeric) = -0.9975361484245805 absolute error = 1.443289932012704e-15 relative error = 1.446854767410794e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.549999999999994 y[1] (closed_form) = -0.9978301839061888 y[1] (numeric) = -0.9978301839061904 absolute error = 1.554312234475219e-15 relative error = 1.557692139949685e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.550999999999994 y[1] (closed_form) = -0.9981239516156036 y[1] (numeric) = -0.9981239516156052 absolute error = 1.554312234475219e-15 relative error = 1.557233680205095e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.551999999999994 y[1] (closed_form) = -0.9984174518678042 y[1] (numeric) = -0.9984174518678058 absolute error = 1.665334536937735e-15 relative error = 1.667974186370927e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.552999999999994 y[1] (closed_form) = -0.9987106849773825 y[1] (numeric) = -0.9987106849773841 absolute error = 1.665334536937735e-15 relative error = 1.6674844496887e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.553999999999994 y[1] (closed_form) = -0.9990036512585417 y[1] (numeric) = -0.9990036512585434 absolute error = 1.665334536937735e-15 relative error = 1.666995445752127e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.554999999999994 y[1] (closed_form) = -0.9992963510250967 y[1] (numeric) = -0.9992963510250984 absolute error = 1.665334536937735e-15 relative error = 1.666507173001686e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.555999999999994 y[1] (closed_form) = -0.9995887845904744 y[1] (numeric) = -0.9995887845904761 absolute error = 1.665334536937735e-15 relative error = 1.666019629882114e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.556999999999994 y[1] (closed_form) = -0.9998809522677138 y[1] (numeric) = -0.9998809522677156 absolute error = 1.77635683940025e-15 relative error = 1.776568335831883e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.557999999999994 y[1] (closed_form) = -1.000172854369467 y[1] (numeric) = -1.000172854369469 absolute error = 1.998401444325282e-15 relative error = 1.998056071602866e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.558999999999994 y[1] (closed_form) = -1.000464491207998 y[1] (numeric) = -1.000464491208 absolute error = 1.998401444325282e-15 relative error = 1.997473635383439e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.559999999999993 y[1] (closed_form) = -1.000755863095184 y[1] (numeric) = -1.000755863095186 absolute error = 1.998401444325282e-15 relative error = 1.996892067306538e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.560999999999993 y[1] (closed_form) = -1.001046970342518 y[1] (numeric) = -1.001046970342521 absolute error = 2.220446049250313e-15 relative error = 2.218123739479042e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.561999999999993 y[1] (closed_form) = -1.001337813261105 y[1] (numeric) = -1.001337813261107 absolute error = 2.220446049250313e-15 relative error = 2.217479475801358e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.562999999999993 y[1] (closed_form) = -1.001628392161663 y[1] (numeric) = -1.001628392161666 absolute error = 2.220446049250313e-15 relative error = 2.216836170606406e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.563999999999993 y[1] (closed_form) = -1.001918707354527 y[1] (numeric) = -1.001918707354529 absolute error = 2.442490654175344e-15 relative error = 2.437813204051767e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.564999999999993 y[1] (closed_form) = -1.002208759149645 y[1] (numeric) = -1.002208759149648 absolute error = 2.442490654175344e-15 relative error = 2.437107670309877e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.565999999999993 y[1] (closed_form) = -1.002498547856581 y[1] (numeric) = -1.002498547856584 absolute error = 2.664535259100376e-15 relative error = 2.657894382787244e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.566999999999993 y[1] (closed_form) = -1.002788073784514 y[1] (numeric) = -1.002788073784517 absolute error = 2.664535259100376e-15 relative error = 2.657126992989099e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.567999999999993 y[1] (closed_form) = -1.003077337242239 y[1] (numeric) = -1.003077337242241 absolute error = 2.664535259100376e-15 relative error = 2.656360741262468e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.568999999999992 y[1] (closed_form) = -1.003366338538167 y[1] (numeric) = -1.003366338538169 absolute error = 2.664535259100376e-15 relative error = 2.65559562520546e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.569999999999992 y[1] (closed_form) = -1.003655077980325 y[1] (numeric) = -1.003655077980328 absolute error = 2.664535259100376e-15 relative error = 2.654831642422687e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.570999999999992 y[1] (closed_form) = -1.003943555876358 y[1] (numeric) = -1.00394355587636 absolute error = 2.664535259100376e-15 relative error = 2.654068790525243e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.571999999999992 y[1] (closed_form) = -1.004231772533526 y[1] (numeric) = -1.004231772533528 absolute error = 2.664535259100376e-15 relative error = 2.653307067130683e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.572999999999992 y[1] (closed_form) = -1.004519728258708 y[1] (numeric) = -1.00451972825871 absolute error = 2.664535259100376e-15 relative error = 2.652546469863e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.573999999999992 y[1] (closed_form) = -1.0048074233584 y[1] (numeric) = -1.004807423358403 absolute error = 2.664535259100376e-15 relative error = 2.651786996352609e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.574999999999992 y[1] (closed_form) = -1.005094858138716 y[1] (numeric) = -1.005094858138719 absolute error = 2.664535259100376e-15 relative error = 2.651028644236318e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.575999999999992 y[1] (closed_form) = -1.00538203290539 y[1] (numeric) = -1.005382032905393 absolute error = 2.664535259100376e-15 relative error = 2.650271411157313e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.576999999999992 y[1] (closed_form) = -1.005668947963771 y[1] (numeric) = -1.005668947963774 absolute error = 2.886579864025407e-15 relative error = 2.870308235995564e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.577999999999991 y[1] (closed_form) = -1.005955603618831 y[1] (numeric) = -1.005955603618834 absolute error = 2.886579864025407e-15 relative error = 2.869490317108635e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.578999999999991 y[1] (closed_form) = -1.006242000175158 y[1] (numeric) = -1.006242000175161 absolute error = 2.886579864025407e-15 relative error = 2.868673602893673e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.579999999999991 y[1] (closed_form) = -1.006528137936962 y[1] (numeric) = -1.006528137936965 absolute error = 2.886579864025407e-15 relative error = 2.867858090824869e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.580999999999991 y[1] (closed_form) = -1.006814017208072 y[1] (numeric) = -1.006814017208075 absolute error = 2.886579864025407e-15 relative error = 2.867043778383207e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.581999999999991 y[1] (closed_form) = -1.007099638291938 y[1] (numeric) = -1.007099638291941 absolute error = 2.886579864025407e-15 relative error = 2.866230663056445e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.582999999999991 y[1] (closed_form) = -1.007385001491629 y[1] (numeric) = -1.007385001491632 absolute error = 2.886579864025407e-15 relative error = 2.865418742339092e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.583999999999991 y[1] (closed_form) = -1.007670107109836 y[1] (numeric) = -1.007670107109839 absolute error = 3.108624468950438e-15 relative error = 3.084962476327184e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.584999999999991 y[1] (closed_form) = -1.007954955448872 y[1] (numeric) = -1.007954955448875 absolute error = 3.108624468950438e-15 relative error = 3.084090665109213e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.585999999999991 y[1] (closed_form) = -1.008239546810671 y[1] (numeric) = -1.008239546810674 absolute error = 2.886579864025407e-15 relative error = 2.862990122889371e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.58699999999999 y[1] (closed_form) = -1.008523881496789 y[1] (numeric) = -1.008523881496792 absolute error = 3.108624468950438e-15 relative error = 3.08235087535737e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.58799999999999 y[1] (closed_form) = -1.008807959808403 y[1] (numeric) = -1.008807959808406 absolute error = 3.108624468950438e-15 relative error = 3.081482891491896e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.58899999999999 y[1] (closed_form) = -1.009091782046315 y[1] (numeric) = -1.009091782046319 absolute error = 3.108624468950438e-15 relative error = 3.080616178090883e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.58999999999999 y[1] (closed_form) = -1.00937534851095 y[1] (numeric) = -1.009375348510953 absolute error = 3.108624468950438e-15 relative error = 3.079750732506339e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.59099999999999 y[1] (closed_form) = -1.009658659502352 y[1] (numeric) = -1.009658659502356 absolute error = 3.108624468950438e-15 relative error = 3.078886552097358e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.59199999999999 y[1] (closed_form) = -1.009941715320195 y[1] (numeric) = -1.009941715320198 absolute error = 3.33066907387547e-15 relative error = 3.297882465246526e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.59299999999999 y[1] (closed_form) = -1.010224516263772 y[1] (numeric) = -1.010224516263775 absolute error = 3.33066907387547e-15 relative error = 3.296959260297564e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.59399999999999 y[1] (closed_form) = -1.010507062632003 y[1] (numeric) = -1.010507062632006 absolute error = 3.33066907387547e-15 relative error = 3.296037402450499e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.59499999999999 y[1] (closed_form) = -1.01078935472343 y[1] (numeric) = -1.010789354723434 absolute error = 3.33066907387547e-15 relative error = 3.295116888905898e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.595999999999989 y[1] (closed_form) = -1.011071392836224 y[1] (numeric) = -1.011071392836228 absolute error = 3.33066907387547e-15 relative error = 3.294197716871788e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.596999999999989 y[1] (closed_form) = -1.011353177268179 y[1] (numeric) = -1.011353177268182 absolute error = 3.33066907387547e-15 relative error = 3.293279883563644e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.597999999999989 y[1] (closed_form) = -1.011634708316713 y[1] (numeric) = -1.011634708316716 absolute error = 3.33066907387547e-15 relative error = 3.292363386204357e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.598999999999989 y[1] (closed_form) = -1.011915986278873 y[1] (numeric) = -1.011915986278876 absolute error = 3.552713678800501e-15 relative error = 3.510878103492489e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.599999999999989 y[1] (closed_form) = -1.012197011451331 y[1] (numeric) = -1.012197011451335 absolute error = 3.552713678800501e-15 relative error = 3.509903347478244e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.600999999999989 y[1] (closed_form) = -1.012477784130386 y[1] (numeric) = -1.01247778413039 absolute error = 3.552713678800501e-15 relative error = 3.508930007636578e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.601999999999989 y[1] (closed_form) = -1.012758304611964 y[1] (numeric) = -1.012758304611967 absolute error = 3.552713678800501e-15 relative error = 3.507958081036636e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.602999999999989 y[1] (closed_form) = -1.013038573191618 y[1] (numeric) = -1.013038573191621 absolute error = 3.552713678800501e-15 relative error = 3.506987564755345e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.603999999999989 y[1] (closed_form) = -1.013318590164529 y[1] (numeric) = -1.013318590164532 absolute error = 3.552713678800501e-15 relative error = 3.506018455877397e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.604999999999988 y[1] (closed_form) = -1.013598355825506 y[1] (numeric) = -1.013598355825509 absolute error = 3.33066907387547e-15 relative error = 3.285985079526761e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.605999999999988 y[1] (closed_form) = -1.013877870468987 y[1] (numeric) = -1.01387787046899 absolute error = 3.33066907387547e-15 relative error = 3.285079170664619e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.606999999999988 y[1] (closed_form) = -1.014157134389038 y[1] (numeric) = -1.014157134389042 absolute error = 3.552713678800501e-15 relative error = 3.50311954462636e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.607999999999988 y[1] (closed_form) = -1.014436147879355 y[1] (numeric) = -1.014436147879358 absolute error = 3.774758283725532e-15 relative error = 3.721040788635677e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.608999999999988 y[1] (closed_form) = -1.014714911233262 y[1] (numeric) = -1.014714911233266 absolute error = 3.774758283725532e-15 relative error = 3.720018541107053e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.609999999999988 y[1] (closed_form) = -1.014993424743714 y[1] (numeric) = -1.014993424743718 absolute error = 3.774758283725532e-15 relative error = 3.718997770531035e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.610999999999988 y[1] (closed_form) = -1.015271688703296 y[1] (numeric) = -1.0152716887033 absolute error = 3.996802888650564e-15 relative error = 3.936683089976907e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.611999999999988 y[1] (closed_form) = -1.015549703404223 y[1] (numeric) = -1.015549703404227 absolute error = 3.996802888650564e-15 relative error = 3.93560539208754e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.612999999999988 y[1] (closed_form) = -1.015827469138342 y[1] (numeric) = -1.015827469138346 absolute error = 4.218847493575595e-15 relative error = 4.153114206641959e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.613999999999987 y[1] (closed_form) = -1.01610498619713 y[1] (numeric) = -1.016104986197134 absolute error = 4.218847493575595e-15 relative error = 4.151979914364003e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.614999999999987 y[1] (closed_form) = -1.016382254871695 y[1] (numeric) = -1.016382254871699 absolute error = 4.218847493575595e-15 relative error = 4.150847255896031e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.615999999999987 y[1] (closed_form) = -1.016659275452779 y[1] (numeric) = -1.016659275452783 absolute error = 4.218847493575595e-15 relative error = 4.149716227884403e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.616999999999987 y[1] (closed_form) = -1.016936048230754 y[1] (numeric) = -1.016936048230759 absolute error = 4.218847493575595e-15 relative error = 4.148586826984316e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.617999999999987 y[1] (closed_form) = -1.017212573495627 y[1] (numeric) = -1.017212573495631 absolute error = 4.440892098500626e-15 relative error = 4.365746368273453e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.618999999999987 y[1] (closed_form) = -1.017488851537036 y[1] (numeric) = -1.01748885153704 absolute error = 4.440892098500626e-15 relative error = 4.364560940193241e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.619999999999987 y[1] (closed_form) = -1.017764882644252 y[1] (numeric) = -1.017764882644257 absolute error = 4.440892098500626e-15 relative error = 4.363377214355004e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.620999999999987 y[1] (closed_form) = -1.018040667106182 y[1] (numeric) = -1.018040667106187 absolute error = 4.662936703425657e-15 relative error = 4.580304946638551e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.621999999999987 y[1] (closed_form) = -1.018316205211365 y[1] (numeric) = -1.01831620521137 absolute error = 4.662936703425657e-15 relative error = 4.579065598251774e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.622999999999986 y[1] (closed_form) = -1.018591497247975 y[1] (numeric) = -1.01859149724798 absolute error = 4.662936703425657e-15 relative error = 4.577828026273489e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.623999999999986 y[1] (closed_form) = -1.018866543503821 y[1] (numeric) = -1.018866543503826 absolute error = 4.662936703425657e-15 relative error = 4.57659222707431e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.624999999999986 y[1] (closed_form) = -1.019141344266346 y[1] (numeric) = -1.019141344266351 absolute error = 4.662936703425657e-15 relative error = 4.575358197034374e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.625999999999986 y[1] (closed_form) = -1.019415899822629 y[1] (numeric) = -1.019415899822634 absolute error = 4.662936703425657e-15 relative error = 4.574125932543306e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.626999999999986 y[1] (closed_form) = -1.019690210459386 y[1] (numeric) = -1.019690210459391 absolute error = 4.662936703425657e-15 relative error = 4.57289543000019e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.627999999999986 y[1] (closed_form) = -1.019964276462967 y[1] (numeric) = -1.019964276462972 absolute error = 4.662936703425657e-15 relative error = 4.57166668581354e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.628999999999986 y[1] (closed_form) = -1.02023809811936 y[1] (numeric) = -1.020238098119365 absolute error = 4.662936703425657e-15 relative error = 4.57043969640127e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.629999999999986 y[1] (closed_form) = -1.020511675714189 y[1] (numeric) = -1.020511675714194 absolute error = 4.662936703425657e-15 relative error = 4.569214458190664e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.630999999999986 y[1] (closed_form) = -1.020785009532716 y[1] (numeric) = -1.020785009532721 absolute error = 4.884981308350689e-15 relative error = 4.785514347028745e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.631999999999985 y[1] (closed_form) = -1.021058099859841 y[1] (numeric) = -1.021058099859846 absolute error = 4.884981308350689e-15 relative error = 4.784234422136453e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.632999999999985 y[1] (closed_form) = -1.021330946980099 y[1] (numeric) = -1.021330946980104 absolute error = 5.10702591327572e-15 relative error = 5.000363426151263e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.633999999999985 y[1] (closed_form) = -1.021603551177666 y[1] (numeric) = -1.021603551177671 absolute error = 4.884981308350689e-15 relative error = 4.781680038914769e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.634999999999985 y[1] (closed_form) = -1.021875912736357 y[1] (numeric) = -1.021875912736362 absolute error = 4.884981308350689e-15 relative error = 4.780405573187251e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.635999999999985 y[1] (closed_form) = -1.022148031939624 y[1] (numeric) = -1.022148031939629 absolute error = 4.884981308350689e-15 relative error = 4.779132919799268e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.636999999999985 y[1] (closed_form) = -1.022419909070559 y[1] (numeric) = -1.022419909070564 absolute error = 4.884981308350689e-15 relative error = 4.777862075075818e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.637999999999985 y[1] (closed_form) = -1.022691544411894 y[1] (numeric) = -1.022691544411899 absolute error = 4.884981308350689e-15 relative error = 4.776593035351466e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.638999999999985 y[1] (closed_form) = -1.022962938246002 y[1] (numeric) = -1.022962938246007 absolute error = 4.884981308350689e-15 relative error = 4.775325796970319e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.639999999999985 y[1] (closed_form) = -1.023234090854895 y[1] (numeric) = -1.0232340908549 absolute error = 4.884981308350689e-15 relative error = 4.774060356285988e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.640999999999984 y[1] (closed_form) = -1.023505002520226 y[1] (numeric) = -1.023505002520231 absolute error = 4.884981308350689e-15 relative error = 4.772796709661569e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.641999999999984 y[1] (closed_form) = -1.023775673523289 y[1] (numeric) = -1.023775673523294 absolute error = 4.884981308350689e-15 relative error = 4.771534853469602e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.642999999999984 y[1] (closed_form) = -1.02404610414502 y[1] (numeric) = -1.024046104145025 absolute error = 5.10702591327572e-15 relative error = 4.987105456096232e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.643999999999984 y[1] (closed_form) = -1.024316294665998 y[1] (numeric) = -1.024316294666003 absolute error = 4.884981308350689e-15 relative error = 4.769016497920255e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.644999999999984 y[1] (closed_form) = -1.024586245366441 y[1] (numeric) = -1.024586245366446 absolute error = 5.10702591327572e-15 relative error = 4.984476354598342e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.645999999999984 y[1] (closed_form) = -1.024855956526213 y[1] (numeric) = -1.024855956526218 absolute error = 5.10702591327572e-15 relative error = 4.983164590842767e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.646999999999984 y[1] (closed_form) = -1.025125428424819 y[1] (numeric) = -1.025125428424824 absolute error = 5.10702591327572e-15 relative error = 4.981854680088311e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.647999999999984 y[1] (closed_form) = -1.025394661341408 y[1] (numeric) = -1.025394661341413 absolute error = 5.10702591327572e-15 relative error = 4.980546618601246e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.648999999999984 y[1] (closed_form) = -1.025663655554772 y[1] (numeric) = -1.025663655554778 absolute error = 5.10702591327572e-15 relative error = 4.979240402657512e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.649999999999983 y[1] (closed_form) = -1.025932411343349 y[1] (numeric) = -1.025932411343354 absolute error = 5.10702591327572e-15 relative error = 4.977936028542677e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.650999999999983 y[1] (closed_form) = -1.026200928985217 y[1] (numeric) = -1.026200928985223 absolute error = 5.10702591327572e-15 relative error = 4.976633492551912e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.651999999999983 y[1] (closed_form) = -1.026469208758105 y[1] (numeric) = -1.02646920875811 absolute error = 5.329070518200751e-15 relative error = 5.191651607989527e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.652999999999983 y[1] (closed_form) = -1.026737250939382 y[1] (numeric) = -1.026737250939387 absolute error = 5.10702591327572e-15 relative error = 4.97403392017111e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.653999999999983 y[1] (closed_form) = -1.027005055806064 y[1] (numeric) = -1.027005055806069 absolute error = 5.329070518200751e-15 relative error = 5.188942827567808e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.654999999999983 y[1] (closed_form) = -1.027272623634814 y[1] (numeric) = -1.027272623634819 absolute error = 5.329070518200751e-15 relative error = 5.18759129328768e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.655999999999983 y[1] (closed_form) = -1.02753995470194 y[1] (numeric) = -1.027539954701945 absolute error = 5.329070518200751e-15 relative error = 5.186241657869704e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.656999999999983 y[1] (closed_form) = -1.027807049283398 y[1] (numeric) = -1.027807049283403 absolute error = 5.551115123125783e-15 relative error = 5.400931164070244e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.657999999999983 y[1] (closed_form) = -1.028073907654788 y[1] (numeric) = -1.028073907654794 absolute error = 5.551115123125783e-15 relative error = 5.399529237921059e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.658999999999982 y[1] (closed_form) = -1.028340530091361 y[1] (numeric) = -1.028340530091367 absolute error = 5.551115123125783e-15 relative error = 5.39812927788872e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.659999999999982 y[1] (closed_form) = -1.028606916868013 y[1] (numeric) = -1.028606916868019 absolute error = 5.773159728050814e-15 relative error = 5.612600531240257e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.660999999999982 y[1] (closed_form) = -1.02887306825929 y[1] (numeric) = -1.028873068259295 absolute error = 5.551115123125783e-15 relative error = 5.395335240446616e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.661999999999982 y[1] (closed_form) = -1.029138984539384 y[1] (numeric) = -1.02913898453939 absolute error = 5.551115123125783e-15 relative error = 5.393941155198117e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.662999999999982 y[1] (closed_form) = -1.029404665982138 y[1] (numeric) = -1.029404665982144 absolute error = 5.551115123125783e-15 relative error = 5.392549020388938e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.663999999999982 y[1] (closed_form) = -1.029670112861044 y[1] (numeric) = -1.029670112861049 absolute error = 5.551115123125783e-15 relative error = 5.391158832124826e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.664999999999982 y[1] (closed_form) = -1.029935325449241 y[1] (numeric) = -1.029935325449247 absolute error = 5.551115123125783e-15 relative error = 5.389770586521514e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.665999999999982 y[1] (closed_form) = -1.030200304019522 y[1] (numeric) = -1.030200304019527 absolute error = 5.551115123125783e-15 relative error = 5.38838427970469e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.666999999999982 y[1] (closed_form) = -1.030465048844326 y[1] (numeric) = -1.030465048844331 absolute error = 5.773159728050814e-15 relative error = 5.602479904122373e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.667999999999981 y[1] (closed_form) = -1.030729560195745 y[1] (numeric) = -1.030729560195751 absolute error = 5.773159728050814e-15 relative error = 5.60104216566219e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.668999999999981 y[1] (closed_form) = -1.030993838345523 y[1] (numeric) = -1.030993838345529 absolute error = 5.551115123125783e-15 relative error = 5.384236953378768e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.669999999999981 y[1] (closed_form) = -1.031257883565053 y[1] (numeric) = -1.031257883565059 absolute error = 5.773159728050814e-15 relative error = 5.598172697689381e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.670999999999981 y[1] (closed_form) = -1.031521696125381 y[1] (numeric) = -1.031521696125386 absolute error = 5.773159728050814e-15 relative error = 5.596740960210585e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.671999999999981 y[1] (closed_form) = -1.031785276297204 y[1] (numeric) = -1.03178527629721 absolute error = 5.773159728050814e-15 relative error = 5.595311215109709e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.672999999999981 y[1] (closed_form) = -1.032048624350873 y[1] (numeric) = -1.032048624350878 absolute error = 5.773159728050814e-15 relative error = 5.59388345842906e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.673999999999981 y[1] (closed_form) = -1.03231174055639 y[1] (numeric) = -1.032311740556396 absolute error = 5.773159728050814e-15 relative error = 5.592457686221048e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.674999999999981 y[1] (closed_form) = -1.032574625183413 y[1] (numeric) = -1.032574625183419 absolute error = 5.773159728050814e-15 relative error = 5.591033894548148e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.675999999999981 y[1] (closed_form) = -1.032837278501251 y[1] (numeric) = -1.032837278501257 absolute error = 5.995204332975845e-15 relative error = 5.804597159462988e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.676999999999981 y[1] (closed_form) = -1.033099700778868 y[1] (numeric) = -1.033099700778874 absolute error = 6.217248937900877e-15 relative error = 6.018053178423736e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.67799999999998 y[1] (closed_form) = -1.033361892284882 y[1] (numeric) = -1.033361892284888 absolute error = 6.217248937900877e-15 relative error = 6.01652623763184e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.67899999999998 y[1] (closed_form) = -1.033623853287565 y[1] (numeric) = -1.033623853287571 absolute error = 6.217248937900877e-15 relative error = 6.015001412870038e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.67999999999998 y[1] (closed_form) = -1.033885584054846 y[1] (numeric) = -1.033885584054852 absolute error = 6.439293542825908e-15 relative error = 6.228245796378485e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.68099999999998 y[1] (closed_form) = -1.034147084854308 y[1] (numeric) = -1.034147084854314 absolute error = 6.439293542825908e-15 relative error = 6.226670883797044e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.68199999999998 y[1] (closed_form) = -1.034408355953189 y[1] (numeric) = -1.034408355953196 absolute error = 6.439293542825908e-15 relative error = 6.225098149842585e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.68299999999998 y[1] (closed_form) = -1.034669397618386 y[1] (numeric) = -1.034669397618392 absolute error = 6.217248937900877e-15 relative error = 6.008923190549379e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.68399999999998 y[1] (closed_form) = -1.034930210116449 y[1] (numeric) = -1.034930210116456 absolute error = 6.439293542825908e-15 relative error = 6.221959200612536e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.68499999999998 y[1] (closed_form) = -1.035190793713589 y[1] (numeric) = -1.035190793713595 absolute error = 6.439293542825908e-15 relative error = 6.220392976763179e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.68599999999998 y[1] (closed_form) = -1.035451148675669 y[1] (numeric) = -1.035451148675676 absolute error = 6.439293542825908e-15 relative error = 6.218828914393204e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.686999999999979 y[1] (closed_form) = -1.035711275268215 y[1] (numeric) = -1.035711275268221 absolute error = 6.439293542825908e-15 relative error = 6.217267009242845e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.687999999999979 y[1] (closed_form) = -1.035971173756407 y[1] (numeric) = -1.035971173756414 absolute error = 6.439293542825908e-15 relative error = 6.215707257063128e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.688999999999979 y[1] (closed_form) = -1.036230844405086 y[1] (numeric) = -1.036230844405093 absolute error = 6.439293542825908e-15 relative error = 6.214149653615832e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.689999999999979 y[1] (closed_form) = -1.036490287478751 y[1] (numeric) = -1.036490287478757 absolute error = 6.439293542825908e-15 relative error = 6.212594194673456e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.690999999999979 y[1] (closed_form) = -1.036749503241559 y[1] (numeric) = -1.036749503241565 absolute error = 6.439293542825908e-15 relative error = 6.211040876019188e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.691999999999979 y[1] (closed_form) = -1.037008491957327 y[1] (numeric) = -1.037008491957334 absolute error = 6.661338147750939e-15 relative error = 6.423610027703663e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.692999999999979 y[1] (closed_form) = -1.037267253889534 y[1] (numeric) = -1.03726725388954 absolute error = 6.661338147750939e-15 relative error = 6.422007561476875e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.693999999999979 y[1] (closed_form) = -1.037525789301316 y[1] (numeric) = -1.037525789301323 absolute error = 6.883382752675971e-15 relative error = 6.634420872864601e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.694999999999979 y[1] (closed_form) = -1.037784098455472 y[1] (numeric) = -1.037784098455479 absolute error = 6.661338147750939e-15 relative error = 6.418809227916452e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.695999999999978 y[1] (closed_form) = -1.038042181614461 y[1] (numeric) = -1.038042181614468 absolute error = 6.661338147750939e-15 relative error = 6.417213351957046e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.696999999999978 y[1] (closed_form) = -1.038300039040403 y[1] (numeric) = -1.03830003904041 absolute error = 6.661338147750939e-15 relative error = 6.415619664145777e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.697999999999978 y[1] (closed_form) = -1.038557670995081 y[1] (numeric) = -1.038557670995088 absolute error = 6.883382752675971e-15 relative error = 6.62782909887011e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.698999999999978 y[1] (closed_form) = -1.03881507773994 y[1] (numeric) = -1.038815077739947 absolute error = 6.883382752675971e-15 relative error = 6.626186797029892e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.699999999999978 y[1] (closed_form) = -1.039072259536085 y[1] (numeric) = -1.039072259536092 absolute error = 6.883382752675971e-15 relative error = 6.624546743023624e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.700999999999978 y[1] (closed_form) = -1.039329216644288 y[1] (numeric) = -1.039329216644294 absolute error = 6.883382752675971e-15 relative error = 6.62290893245602e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.701999999999978 y[1] (closed_form) = -1.03958594932498 y[1] (numeric) = -1.039585949324987 absolute error = 6.883382752675971e-15 relative error = 6.621273360942849e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.702999999999978 y[1] (closed_form) = -1.039842457838258 y[1] (numeric) = -1.039842457838265 absolute error = 6.883382752675971e-15 relative error = 6.619640024110885e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.703999999999978 y[1] (closed_form) = -1.040098742443884 y[1] (numeric) = -1.040098742443891 absolute error = 6.883382752675971e-15 relative error = 6.618008917597885e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.704999999999977 y[1] (closed_form) = -1.040354803401282 y[1] (numeric) = -1.040354803401289 absolute error = 6.883382752675971e-15 relative error = 6.616380037052549e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.705999999999977 y[1] (closed_form) = -1.040610640969541 y[1] (numeric) = -1.040610640969548 absolute error = 6.883382752675971e-15 relative error = 6.614753378134492e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.706999999999977 y[1] (closed_form) = -1.040866255407417 y[1] (numeric) = -1.040866255407424 absolute error = 6.883382752675971e-15 relative error = 6.613128936514202e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.707999999999977 y[1] (closed_form) = -1.041121646973329 y[1] (numeric) = -1.041121646973336 absolute error = 6.883382752675971e-15 relative error = 6.611506707873018e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.708999999999977 y[1] (closed_form) = -1.041376815925365 y[1] (numeric) = -1.041376815925372 absolute error = 6.661338147750939e-15 relative error = 6.396664536680404e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.709999999999977 y[1] (closed_form) = -1.041631762521275 y[1] (numeric) = -1.041631762521282 absolute error = 6.883382752675971e-15 relative error = 6.608268872307335e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.710999999999977 y[1] (closed_form) = -1.04188648701848 y[1] (numeric) = -1.041886487018487 absolute error = 6.883382752675971e-15 relative error = 6.606653256799441e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.711999999999977 y[1] (closed_form) = -1.042140989674065 y[1] (numeric) = -1.042140989674072 absolute error = 6.883382752675971e-15 relative error = 6.60503983710379e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.712999999999977 y[1] (closed_form) = -1.042395270744784 y[1] (numeric) = -1.042395270744791 absolute error = 6.883382752675971e-15 relative error = 6.603428608955454e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.713999999999976 y[1] (closed_form) = -1.042649330487056 y[1] (numeric) = -1.042649330487063 absolute error = 7.105427357601002e-15 relative error = 6.814781489651769e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.714999999999976 y[1] (closed_form) = -1.042903169156973 y[1] (numeric) = -1.04290316915698 absolute error = 7.105427357601002e-15 relative error = 6.813122797723063e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.715999999999976 y[1] (closed_form) = -1.04315678701029 y[1] (numeric) = -1.043156787010297 absolute error = 7.105427357601002e-15 relative error = 6.811466354895041e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.716999999999976 y[1] (closed_form) = -1.043410184302435 y[1] (numeric) = -1.043410184302442 absolute error = 7.105427357601002e-15 relative error = 6.809812156808962e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.717999999999976 y[1] (closed_form) = -1.043663361288503 y[1] (numeric) = -1.04366336128851 absolute error = 7.105427357601002e-15 relative error = 6.808160199116951e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.718999999999976 y[1] (closed_form) = -1.04391631822326 y[1] (numeric) = -1.043916318223267 absolute error = 7.105427357601002e-15 relative error = 6.806510477481954e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.719999999999976 y[1] (closed_form) = -1.04416905536114 y[1] (numeric) = -1.044169055361147 absolute error = 7.105427357601002e-15 relative error = 6.804862987577711e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.720999999999976 y[1] (closed_form) = -1.044421572956249 y[1] (numeric) = -1.044421572956256 absolute error = 7.105427357601002e-15 relative error = 6.803217725088725e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.721999999999976 y[1] (closed_form) = -1.044673871262364 y[1] (numeric) = -1.044673871262372 absolute error = 7.327471962526033e-15 relative error = 7.014123894638672e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.722999999999975 y[1] (closed_form) = -1.044925950532932 y[1] (numeric) = -1.04492595053294 absolute error = 7.327471962526033e-15 relative error = 7.012431798434025e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.723999999999975 y[1] (closed_form) = -1.045177811021072 y[1] (numeric) = -1.045177811021079 absolute error = 7.549516567451064e-15 relative error = 7.223188712814013e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.724999999999975 y[1] (closed_form) = -1.045429452979574 y[1] (numeric) = -1.045429452979582 absolute error = 7.549516567451064e-15 relative error = 7.221450042309615e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.725999999999975 y[1] (closed_form) = -1.045680876660902 y[1] (numeric) = -1.04568087666091 absolute error = 7.771561172376096e-15 relative error = 7.432058236727507e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.726999999999975 y[1] (closed_form) = -1.04593208231719 y[1] (numeric) = -1.045932082317198 absolute error = 7.771561172376096e-15 relative error = 7.430273249825875e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.727999999999975 y[1] (closed_form) = -1.046183070200249 y[1] (numeric) = -1.046183070200256 absolute error = 7.771561172376096e-15 relative error = 7.428490666445741e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.728999999999975 y[1] (closed_form) = -1.046433840561558 y[1] (numeric) = -1.046433840561566 absolute error = 7.771561172376096e-15 relative error = 7.426710481959917e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.729999999999975 y[1] (closed_form) = -1.046684393652274 y[1] (numeric) = -1.046684393652282 absolute error = 7.993605777301127e-15 relative error = 7.63707362580275e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.730999999999975 y[1] (closed_form) = -1.046934729723227 y[1] (numeric) = -1.046934729723235 absolute error = 7.993605777301127e-15 relative error = 7.635247499540258e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.731999999999974 y[1] (closed_form) = -1.047184849024921 y[1] (numeric) = -1.047184849024929 absolute error = 7.993605777301127e-15 relative error = 7.633423826504288e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.732999999999974 y[1] (closed_form) = -1.047434751807534 y[1] (numeric) = -1.047434751807542 absolute error = 7.993605777301127e-15 relative error = 7.631602601982362e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.733999999999974 y[1] (closed_form) = -1.047684438320921 y[1] (numeric) = -1.047684438320929 absolute error = 8.215650382226158e-15 relative error = 7.841722260753466e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.734999999999974 y[1] (closed_form) = -1.047933908814612 y[1] (numeric) = -1.04793390881462 absolute error = 8.215650382226158e-15 relative error = 7.839855465235807e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.735999999999974 y[1] (closed_form) = -1.048183163537812 y[1] (numeric) = -1.04818316353782 absolute error = 8.215650382226158e-15 relative error = 7.83799117178797e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.736999999999974 y[1] (closed_form) = -1.048432202739404 y[1] (numeric) = -1.048432202739412 absolute error = 8.215650382226158e-15 relative error = 7.83612937561421e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.737999999999974 y[1] (closed_form) = -1.048681026667946 y[1] (numeric) = -1.048681026667955 absolute error = 8.215650382226158e-15 relative error = 7.834270071930609e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.738999999999974 y[1] (closed_form) = -1.048929635571675 y[1] (numeric) = -1.048929635571683 absolute error = 8.215650382226158e-15 relative error = 7.832413255965032e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.739999999999974 y[1] (closed_form) = -1.049178029698504 y[1] (numeric) = -1.049178029698512 absolute error = 8.215650382226158e-15 relative error = 7.830558922957092e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.740999999999973 y[1] (closed_form) = -1.049426209296023 y[1] (numeric) = -1.049426209296031 absolute error = 8.43769498715119e-15 relative error = 8.040293745675908e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.741999999999973 y[1] (closed_form) = -1.049674174611503 y[1] (numeric) = -1.049674174611511 absolute error = 8.43769498715119e-15 relative error = 8.038394381069805e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.742999999999973 y[1] (closed_form) = -1.049921925891891 y[1] (numeric) = -1.0499219258919 absolute error = 8.43769498715119e-15 relative error = 8.036497551933215e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.743999999999973 y[1] (closed_form) = -1.050169463383815 y[1] (numeric) = -1.050169463383824 absolute error = 8.43769498715119e-15 relative error = 8.034603253425e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.744999999999973 y[1] (closed_form) = -1.050416787333581 y[1] (numeric) = -1.05041678733359 absolute error = 8.43769498715119e-15 relative error = 8.032711480715917e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.745999999999973 y[1] (closed_form) = -1.050663897987176 y[1] (numeric) = -1.050663897987184 absolute error = 8.43769498715119e-15 relative error = 8.030822228988571e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.746999999999973 y[1] (closed_form) = -1.050910795590264 y[1] (numeric) = -1.050910795590273 absolute error = 8.43769498715119e-15 relative error = 8.028935493437383e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.747999999999973 y[1] (closed_form) = -1.051157480388194 y[1] (numeric) = -1.051157480388202 absolute error = 8.43769498715119e-15 relative error = 8.027051269268559e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.748999999999973 y[1] (closed_form) = -1.051403952625992 y[1] (numeric) = -1.051403952626 absolute error = 8.215650382226158e-15 relative error = 7.81398087928689e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.749999999999972 y[1] (closed_form) = -1.051650212548367 y[1] (numeric) = -1.051650212548375 absolute error = 8.43769498715119e-15 relative error = 8.023290335961519e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.750999999999972 y[1] (closed_form) = -1.05189626039971 y[1] (numeric) = -1.051896260399718 absolute error = 8.43769498715119e-15 relative error = 8.021413617294307e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.751999999999972 y[1] (closed_form) = -1.052142096424092 y[1] (numeric) = -1.052142096424101 absolute error = 8.43769498715119e-15 relative error = 8.019539390951394e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.752999999999972 y[1] (closed_form) = -1.05238772086527 y[1] (numeric) = -1.052387720865278 absolute error = 8.43769498715119e-15 relative error = 8.017667652197372e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.753999999999972 y[1] (closed_form) = -1.052633133966679 y[1] (numeric) = -1.052633133966687 absolute error = 8.43769498715119e-15 relative error = 8.015798396308401e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.754999999999972 y[1] (closed_form) = -1.05287833597144 y[1] (numeric) = -1.052878335971449 absolute error = 8.43769498715119e-15 relative error = 8.013931618572183e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.755999999999972 y[1] (closed_form) = -1.053123327122358 y[1] (numeric) = -1.053123327122366 absolute error = 8.43769498715119e-15 relative error = 8.012067314287921e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.756999999999972 y[1] (closed_form) = -1.05336810766192 y[1] (numeric) = -1.053368107661928 absolute error = 8.43769498715119e-15 relative error = 8.010205478766292e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.757999999999972 y[1] (closed_form) = -1.053612677832298 y[1] (numeric) = -1.053612677832306 absolute error = 8.215650382226158e-15 relative error = 7.797600157136524e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.758999999999971 y[1] (closed_form) = -1.053857037875348 y[1] (numeric) = -1.053857037875356 absolute error = 8.215650382226158e-15 relative error = 7.795792111223648e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.759999999999971 y[1] (closed_form) = -1.054101188032612 y[1] (numeric) = -1.054101188032621 absolute error = 8.43769498715119e-15 relative error = 8.004634738055281e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.760999999999971 y[1] (closed_form) = -1.054345128545318 y[1] (numeric) = -1.054345128545326 absolute error = 8.43769498715119e-15 relative error = 8.00278273091914e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.761999999999971 y[1] (closed_form) = -1.054588859654377 y[1] (numeric) = -1.054588859654385 absolute error = 8.43769498715119e-15 relative error = 8.000933169269868e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.762999999999971 y[1] (closed_form) = -1.054832381600388 y[1] (numeric) = -1.054832381600397 absolute error = 8.43769498715119e-15 relative error = 7.999086048486251e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.763999999999971 y[1] (closed_form) = -1.055075694623637 y[1] (numeric) = -1.055075694623645 absolute error = 8.43769498715119e-15 relative error = 7.997241363958305e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.764999999999971 y[1] (closed_form) = -1.055318798964095 y[1] (numeric) = -1.055318798964103 absolute error = 8.659739592076221e-15 relative error = 8.205804350852707e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.765999999999971 y[1] (closed_form) = -1.055561694861421 y[1] (numeric) = -1.05556169486143 absolute error = 8.659739592076221e-15 relative error = 8.203916108582465e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.766999999999971 y[1] (closed_form) = -1.055804382554963 y[1] (numeric) = -1.055804382554971 absolute error = 8.881784197001252e-15 relative error = 8.412338823133166e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.76799999999997 y[1] (closed_form) = -1.056046862283754 y[1] (numeric) = -1.056046862283763 absolute error = 8.881784197001252e-15 relative error = 8.410407259573642e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.76899999999997 y[1] (closed_form) = -1.056289134286519 y[1] (numeric) = -1.056289134286528 absolute error = 9.103828801926284e-15 relative error = 8.618690192317049e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.76999999999997 y[1] (closed_form) = -1.056531198801668 y[1] (numeric) = -1.056531198801677 absolute error = 9.103828801926284e-15 relative error = 8.616715542571739e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.77099999999997 y[1] (closed_form) = -1.056773056067303 y[1] (numeric) = -1.056773056067312 absolute error = 9.103828801926284e-15 relative error = 8.614743486936981e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.77199999999997 y[1] (closed_form) = -1.057014706321213 y[1] (numeric) = -1.057014706321222 absolute error = 9.103828801926284e-15 relative error = 8.612774020534534e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.77299999999997 y[1] (closed_form) = -1.057256149800879 y[1] (numeric) = -1.057256149800888 absolute error = 9.325873406851315e-15 relative error = 8.820826824802794e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.77399999999997 y[1] (closed_form) = -1.057497386743471 y[1] (numeric) = -1.057497386743481 absolute error = 9.325873406851315e-15 relative error = 8.81881461245974e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.77499999999997 y[1] (closed_form) = -1.05773841738585 y[1] (numeric) = -1.05773841738586 absolute error = 9.547918011776346e-15 relative error = 9.026728967047984e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.77599999999997 y[1] (closed_form) = -1.057979241964568 y[1] (numeric) = -1.057979241964578 absolute error = 9.547918011776346e-15 relative error = 9.024674240344034e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.776999999999969 y[1] (closed_form) = -1.058219860715868 y[1] (numeric) = -1.058219860715877 absolute error = 9.547918011776346e-15 relative error = 9.022622203780358e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.777999999999969 y[1] (closed_form) = -1.058460273875684 y[1] (numeric) = -1.058460273875693 absolute error = 9.547918011776346e-15 relative error = 9.020572852314483e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.778999999999969 y[1] (closed_form) = -1.058700481679643 y[1] (numeric) = -1.058700481679653 absolute error = 9.769962616701378e-15 relative error = 9.22825934791415e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.779999999999969 y[1] (closed_form) = -1.058940484363065 y[1] (numeric) = -1.058940484363075 absolute error = 9.769962616701378e-15 relative error = 9.226167816766252e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.780999999999969 y[1] (closed_form) = -1.059180282160962 y[1] (numeric) = -1.059180282160971 absolute error = 9.547918011776346e-15 relative error = 9.01444085826115e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.781999999999969 y[1] (closed_form) = -1.059419875308038 y[1] (numeric) = -1.059419875308048 absolute error = 9.769962616701378e-15 relative error = 9.221992945772e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.782999999999969 y[1] (closed_form) = -1.059659264038693 y[1] (numeric) = -1.059659264038703 absolute error = 9.769962616701378e-15 relative error = 9.219909595717584e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.783999999999969 y[1] (closed_form) = -1.059898448587019 y[1] (numeric) = -1.059898448587029 absolute error = 9.769962616701378e-15 relative error = 9.21782896250673e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.784999999999969 y[1] (closed_form) = -1.060137429186804 y[1] (numeric) = -1.060137429186814 absolute error = 9.769962616701378e-15 relative error = 9.215751041066052e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.785999999999969 y[1] (closed_form) = -1.060376206071528 y[1] (numeric) = -1.060376206071538 absolute error = 9.769962616701378e-15 relative error = 9.213675826334355e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.786999999999968 y[1] (closed_form) = -1.06061477947437 y[1] (numeric) = -1.060614779474379 absolute error = 9.769962616701378e-15 relative error = 9.211603313262592e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.787999999999968 y[1] (closed_form) = -1.060853149628199 y[1] (numeric) = -1.060853149628209 absolute error = 9.769962616701378e-15 relative error = 9.20953349681385e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.788999999999968 y[1] (closed_form) = -1.061091316765586 y[1] (numeric) = -1.061091316765596 absolute error = 9.992007221626409e-15 relative error = 9.416726971326094e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.789999999999968 y[1] (closed_form) = -1.061329281118792 y[1] (numeric) = -1.061329281118802 absolute error = 9.992007221626409e-15 relative error = 9.414615614009454e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.790999999999968 y[1] (closed_form) = -1.06156704291978 y[1] (numeric) = -1.06156704291979 absolute error = 9.769962616701378e-15 relative error = 9.203340177017599e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.791999999999968 y[1] (closed_form) = -1.061804602400206 y[1] (numeric) = -1.061804602400216 absolute error = 9.992007221626409e-15 relative error = 9.410401121863201e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.792999999999968 y[1] (closed_form) = -1.062041959791425 y[1] (numeric) = -1.062041959791435 absolute error = 9.992007221626409e-15 relative error = 9.408297976841461e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.793999999999968 y[1] (closed_form) = -1.06227911532449 y[1] (numeric) = -1.0622791153245 absolute error = 9.992007221626409e-15 relative error = 9.406197559079557e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.794999999999968 y[1] (closed_form) = -1.06251606923015 y[1] (numeric) = -1.06251606923016 absolute error = 9.992007221626409e-15 relative error = 9.404099863511857e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.795999999999967 y[1] (closed_form) = -1.062752821738855 y[1] (numeric) = -1.062752821738864 absolute error = 9.769962616701378e-15 relative error = 9.193071443194064e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.796999999999967 y[1] (closed_form) = -1.062989373080751 y[1] (numeric) = -1.06298937308076 absolute error = 9.769962616701378e-15 relative error = 9.191025671673574e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.797999999999967 y[1] (closed_form) = -1.063225723485685 y[1] (numeric) = -1.063225723485695 absolute error = 9.769962616701378e-15 relative error = 9.18898254706581e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.798999999999967 y[1] (closed_form) = -1.063461873183204 y[1] (numeric) = -1.063461873183213 absolute error = 9.769962616701378e-15 relative error = 9.186942064464871e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.799999999999967 y[1] (closed_form) = -1.063697822402552 y[1] (numeric) = -1.063697822402562 absolute error = 9.769962616701378e-15 relative error = 9.184904218976558e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.800999999999967 y[1] (closed_form) = -1.063933571372676 y[1] (numeric) = -1.063933571372686 absolute error = 9.992007221626409e-15 relative error = 9.391570574030128e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.801999999999967 y[1] (closed_form) = -1.064169120322223 y[1] (numeric) = -1.064169120322233 absolute error = 9.992007221626409e-15 relative error = 9.389491792997051e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.802999999999967 y[1] (closed_form) = -1.064404469479541 y[1] (numeric) = -1.064404469479551 absolute error = 9.992007221626409e-15 relative error = 9.387415694066162e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.803999999999967 y[1] (closed_form) = -1.064639619072678 y[1] (numeric) = -1.064639619072688 absolute error = 9.992007221626409e-15 relative error = 9.385342272279559e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.804999999999966 y[1] (closed_form) = -1.064874569329384 y[1] (numeric) = -1.064874569329394 absolute error = 9.992007221626409e-15 relative error = 9.383271522691146e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.805999999999966 y[1] (closed_form) = -1.065109320477113 y[1] (numeric) = -1.065109320477123 absolute error = 9.992007221626409e-15 relative error = 9.381203440366585e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.806999999999966 y[1] (closed_form) = -1.06534387274302 y[1] (numeric) = -1.06534387274303 absolute error = 9.992007221626409e-15 relative error = 9.379138020383267e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.807999999999966 y[1] (closed_form) = -1.065578226353962 y[1] (numeric) = -1.065578226353972 absolute error = 9.769962616701378e-15 relative error = 9.168695807656271e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.808999999999966 y[1] (closed_form) = -1.065812381536501 y[1] (numeric) = -1.065812381536511 absolute error = 9.769962616701378e-15 relative error = 9.166681477857071e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.809999999999966 y[1] (closed_form) = -1.066046338516901 y[1] (numeric) = -1.066046338516911 absolute error = 9.769962616701378e-15 relative error = 9.164669736864805e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.810999999999966 y[1] (closed_form) = -1.066280097521131 y[1] (numeric) = -1.066280097521141 absolute error = 9.992007221626409e-15 relative error = 9.370902865818887e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.811999999999966 y[1] (closed_form) = -1.066513658774864 y[1] (numeric) = -1.066513658774874 absolute error = 9.769962616701378e-15 relative error = 9.160654002241683e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.812999999999966 y[1] (closed_form) = -1.066747022503477 y[1] (numeric) = -1.066747022503486 absolute error = 9.769962616701378e-15 relative error = 9.158649999109361e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.813999999999965 y[1] (closed_form) = -1.066980188932052 y[1] (numeric) = -1.066980188932062 absolute error = 9.992007221626409e-15 relative error = 9.364754215003263e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.814999999999965 y[1] (closed_form) = -1.067213158285377 y[1] (numeric) = -1.067213158285387 absolute error = 9.992007221626409e-15 relative error = 9.36270991793235e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.815999999999965 y[1] (closed_form) = -1.067445930787947 y[1] (numeric) = -1.067445930787957 absolute error = 9.769962616701378e-15 relative error = 9.152653389656535e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.816999999999965 y[1] (closed_form) = -1.06767850666396 y[1] (numeric) = -1.06767850666397 absolute error = 9.992007221626409e-15 relative error = 9.35862917466342e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.817999999999965 y[1] (closed_form) = -1.067910886137323 y[1] (numeric) = -1.067910886137333 absolute error = 9.992007221626409e-15 relative error = 9.356592718862436e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.818999999999965 y[1] (closed_form) = -1.068143069431649 y[1] (numeric) = -1.068143069431659 absolute error = 9.992007221626409e-15 relative error = 9.354558867234032e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.819999999999965 y[1] (closed_form) = -1.068375056770258 y[1] (numeric) = -1.068375056770268 absolute error = 1.021405182655144e-14 relative error = 9.560361562005148e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.820999999999965 y[1] (closed_form) = -1.068606848376177 y[1] (numeric) = -1.068606848376188 absolute error = 1.021405182655144e-14 relative error = 9.558287823133834e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.821999999999965 y[1] (closed_form) = -1.068838444472144 y[1] (numeric) = -1.068838444472154 absolute error = 1.021405182655144e-14 relative error = 9.556216731702376e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.822999999999964 y[1] (closed_form) = -1.0690698452806 y[1] (numeric) = -1.069069845280611 absolute error = 1.043609643147647e-14 relative error = 9.76184715858045e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.823999999999964 y[1] (closed_form) = -1.069301051023701 y[1] (numeric) = -1.069301051023711 absolute error = 1.043609643147647e-14 relative error = 9.759736438569309e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.824999999999964 y[1] (closed_form) = -1.069532061923306 y[1] (numeric) = -1.069532061923316 absolute error = 1.043609643147647e-14 relative error = 9.757628408735653e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.825999999999964 y[1] (closed_form) = -1.069762878200987 y[1] (numeric) = -1.069762878200998 absolute error = 1.06581410364015e-14 relative error = 9.96308738467839e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.826999999999964 y[1] (closed_form) = -1.069993500078026 y[1] (numeric) = -1.069993500078037 absolute error = 1.06581410364015e-14 relative error = 9.960939982929138e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.827999999999964 y[1] (closed_form) = -1.070223927775413 y[1] (numeric) = -1.070223927775424 absolute error = 1.088018564132653e-14 relative error = 1.016627021593723e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.828999999999964 y[1] (closed_form) = -1.07045416151385 y[1] (numeric) = -1.070454161513861 absolute error = 1.088018564132653e-14 relative error = 1.016408365019539e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.829999999999964 y[1] (closed_form) = -1.070684201513749 y[1] (numeric) = -1.070684201513759 absolute error = 1.088018564132653e-14 relative error = 1.016189986360495e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.830999999999964 y[1] (closed_form) = -1.070914047995233 y[1] (numeric) = -1.070914047995244 absolute error = 1.088018564132653e-14 relative error = 1.015971885110145e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.831999999999963 y[1] (closed_form) = -1.071143701178139 y[1] (numeric) = -1.07114370117815 absolute error = 1.088018564132653e-14 relative error = 1.015754060763233e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.832999999999963 y[1] (closed_form) = -1.071373161282013 y[1] (numeric) = -1.071373161282024 absolute error = 1.088018564132653e-14 relative error = 1.015536512815686e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.833999999999963 y[1] (closed_form) = -1.071602428526115 y[1] (numeric) = -1.071602428526126 absolute error = 1.088018564132653e-14 relative error = 1.015319240764615e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.834999999999963 y[1] (closed_form) = -1.071831503129417 y[1] (numeric) = -1.071831503129428 absolute error = 1.110223024625157e-14 relative error = 1.03581861643705e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.835999999999963 y[1] (closed_form) = -1.072060385310604 y[1] (numeric) = -1.072060385310615 absolute error = 1.088018564132653e-14 relative error = 1.01488552234623e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.836999999999963 y[1] (closed_form) = -1.072289075288075 y[1] (numeric) = -1.072289075288086 absolute error = 1.088018564132653e-14 relative error = 1.014669074979014e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.837999999999963 y[1] (closed_form) = -1.072517573279943 y[1] (numeric) = -1.072517573279954 absolute error = 1.110223024625157e-14 relative error = 1.035156021947411e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.838999999999963 y[1] (closed_form) = -1.072745879504033 y[1] (numeric) = -1.072745879504044 absolute error = 1.110223024625157e-14 relative error = 1.034935715752598e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.839999999999963 y[1] (closed_form) = -1.072973994177887 y[1] (numeric) = -1.072973994177898 absolute error = 1.110223024625157e-14 relative error = 1.034715688031013e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.840999999999962 y[1] (closed_form) = -1.073201917518761 y[1] (numeric) = -1.073201917518772 absolute error = 1.110223024625157e-14 relative error = 1.034495938277848e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.841999999999962 y[1] (closed_form) = -1.073429649743626 y[1] (numeric) = -1.073429649743637 absolute error = 1.110223024625157e-14 relative error = 1.034276465989475e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.842999999999962 y[1] (closed_form) = -1.073657191069168 y[1] (numeric) = -1.073657191069179 absolute error = 1.110223024625157e-14 relative error = 1.034057270663437e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.843999999999962 y[1] (closed_form) = -1.07388454171179 y[1] (numeric) = -1.073884541711802 absolute error = 1.13242748511766e-14 relative error = 1.054515118834424e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.844999999999962 y[1] (closed_form) = -1.074111701887612 y[1] (numeric) = -1.074111701887624 absolute error = 1.13242748511766e-14 relative error = 1.054292103072301e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.845999999999962 y[1] (closed_form) = -1.074338671812469 y[1] (numeric) = -1.07433867181248 absolute error = 1.13242748511766e-14 relative error = 1.054069368281411e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.846999999999962 y[1] (closed_form) = -1.074565451701913 y[1] (numeric) = -1.074565451701925 absolute error = 1.154631945610163e-14 relative error = 1.074510578933502e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.847999999999962 y[1] (closed_form) = -1.074792041771215 y[1] (numeric) = -1.074792041771226 absolute error = 1.154631945610163e-14 relative error = 1.074284048202827e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.848999999999962 y[1] (closed_form) = -1.075018442235361 y[1] (numeric) = -1.075018442235373 absolute error = 1.154631945610163e-14 relative error = 1.074057802403143e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.849999999999961 y[1] (closed_form) = -1.075244653309059 y[1] (numeric) = -1.075244653309071 absolute error = 1.154631945610163e-14 relative error = 1.073831841020357e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.850999999999961 y[1] (closed_form) = -1.075470675206733 y[1] (numeric) = -1.075470675206744 absolute error = 1.176836406102666e-14 relative error = 1.09425243591737e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.851999999999961 y[1] (closed_form) = -1.075696508142525 y[1] (numeric) = -1.075696508142536 absolute error = 1.176836406102666e-14 relative error = 1.094022707329213e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.852999999999961 y[1] (closed_form) = -1.075922152330298 y[1] (numeric) = -1.07592215233031 absolute error = 1.176836406102666e-14 relative error = 1.093793267062865e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.853999999999961 y[1] (closed_form) = -1.076147607983634 y[1] (numeric) = -1.076147607983645 absolute error = 1.176836406102666e-14 relative error = 1.093564114599197e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.854999999999961 y[1] (closed_form) = -1.076372875315834 y[1] (numeric) = -1.076372875315846 absolute error = 1.176836406102666e-14 relative error = 1.093335249420284e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.855999999999961 y[1] (closed_form) = -1.076597954539922 y[1] (numeric) = -1.076597954539933 absolute error = 1.176836406102666e-14 relative error = 1.093106671009403e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.856999999999961 y[1] (closed_form) = -1.076822845868638 y[1] (numeric) = -1.07682284586865 absolute error = 1.176836406102666e-14 relative error = 1.092878378851026e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.857999999999961 y[1] (closed_form) = -1.077047549514448 y[1] (numeric) = -1.07704754951446 absolute error = 1.199040866595169e-14 relative error = 1.113266417193668e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.85899999999996 y[1] (closed_form) = -1.077272065689536 y[1] (numeric) = -1.077272065689548 absolute error = 1.199040866595169e-14 relative error = 1.11303439937217e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.85999999999996 y[1] (closed_form) = -1.077496394605809 y[1] (numeric) = -1.077496394605821 absolute error = 1.199040866595169e-14 relative error = 1.112802671635691e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86099999999996 y[1] (closed_form) = -1.077720536474895 y[1] (numeric) = -1.077720536474907 absolute error = 1.199040866595169e-14 relative error = 1.112571233463825e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86199999999996 y[1] (closed_form) = -1.077944491508146 y[1] (numeric) = -1.077944491508158 absolute error = 1.221245327087672e-14 relative error = 1.132938974788057e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86299999999996 y[1] (closed_form) = -1.078168259916635 y[1] (numeric) = -1.078168259916648 absolute error = 1.221245327087672e-14 relative error = 1.132703838992719e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86399999999996 y[1] (closed_form) = -1.07839184191116 y[1] (numeric) = -1.078391841911173 absolute error = 1.221245327087672e-14 relative error = 1.1324689965415e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86499999999996 y[1] (closed_form) = -1.078615237702242 y[1] (numeric) = -1.078615237702254 absolute error = 1.221245327087672e-14 relative error = 1.132234446909236e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86599999999996 y[1] (closed_form) = -1.078838447500124 y[1] (numeric) = -1.078838447500136 absolute error = 1.221245327087672e-14 relative error = 1.132000189571972e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86699999999996 y[1] (closed_form) = -1.079061471514775 y[1] (numeric) = -1.079061471514787 absolute error = 1.221245327087672e-14 relative error = 1.131766224006962e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.867999999999959 y[1] (closed_form) = -1.079284309955888 y[1] (numeric) = -1.0792843099559 absolute error = 1.243449787580175e-14 relative error = 1.152105868777984e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.868999999999959 y[1] (closed_form) = -1.079506963032881 y[1] (numeric) = -1.079506963032893 absolute error = 1.243449787580175e-14 relative error = 1.151868241856168e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.869999999999959 y[1] (closed_form) = -1.079729430954897 y[1] (numeric) = -1.07972943095491 absolute error = 1.243449787580175e-14 relative error = 1.151630910422147e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.870999999999959 y[1] (closed_form) = -1.079951713930806 y[1] (numeric) = -1.079951713930819 absolute error = 1.265654248072678e-14 relative error = 1.171954478840496e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.871999999999959 y[1] (closed_form) = -1.080173812169203 y[1] (numeric) = -1.080173812169215 absolute error = 1.265654248072678e-14 relative error = 1.171713509264768e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.872999999999959 y[1] (closed_form) = -1.080395725878407 y[1] (numeric) = -1.08039572587842 absolute error = 1.287858708565182e-14 relative error = 1.192024993914242e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.873999999999959 y[1] (closed_form) = -1.080617455266468 y[1] (numeric) = -1.08061745526648 absolute error = 1.287858708565182e-14 relative error = 1.191780405071849e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.874999999999959 y[1] (closed_form) = -1.080839000541159 y[1] (numeric) = -1.080839000541172 absolute error = 1.287858708565182e-14 relative error = 1.191536119551914e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.875999999999959 y[1] (closed_form) = -1.081060361909984 y[1] (numeric) = -1.081060361909997 absolute error = 1.287858708565182e-14 relative error = 1.191292136814481e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.876999999999958 y[1] (closed_form) = -1.081281539580172 y[1] (numeric) = -1.081281539580185 absolute error = 1.287858708565182e-14 relative error = 1.191048456320836e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.877999999999958 y[1] (closed_form) = -1.081502533758682 y[1] (numeric) = -1.081502533758695 absolute error = 1.287858708565182e-14 relative error = 1.190805077533498e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.878999999999958 y[1] (closed_form) = -1.081723344652199 y[1] (numeric) = -1.081723344652212 absolute error = 1.287858708565182e-14 relative error = 1.190561999916217e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.879999999999958 y[1] (closed_form) = -1.08194397246714 y[1] (numeric) = -1.081943972467152 absolute error = 1.287858708565182e-14 relative error = 1.190319222933973e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.880999999999958 y[1] (closed_form) = -1.082164417409648 y[1] (numeric) = -1.082164417409661 absolute error = 1.287858708565182e-14 relative error = 1.19007674605297e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.881999999999958 y[1] (closed_form) = -1.082384679685598 y[1] (numeric) = -1.082384679685611 absolute error = 1.310063169057685e-14 relative error = 1.210348957856851e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.882999999999958 y[1] (closed_form) = -1.082604759500593 y[1] (numeric) = -1.082604759500606 absolute error = 1.310063169057685e-14 relative error = 1.210102909266738e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.883999999999958 y[1] (closed_form) = -1.082824657059968 y[1] (numeric) = -1.082824657059981 absolute error = 1.310063169057685e-14 relative error = 1.209857164330468e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.884999999999958 y[1] (closed_form) = -1.083044372568787 y[1] (numeric) = -1.0830443725688 absolute error = 1.310063169057685e-14 relative error = 1.209611722509993e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.885999999999957 y[1] (closed_form) = -1.083263906231846 y[1] (numeric) = -1.083263906231859 absolute error = 1.310063169057685e-14 relative error = 1.20936658326849e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.886999999999957 y[1] (closed_form) = -1.083483258253671 y[1] (numeric) = -1.083483258253684 absolute error = 1.310063169057685e-14 relative error = 1.209121746070363e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.887999999999957 y[1] (closed_form) = -1.08370242883852 y[1] (numeric) = -1.083702428838534 absolute error = 1.332267629550188e-14 relative error = 1.22936665462499e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.888999999999957 y[1] (closed_form) = -1.083921418190385 y[1] (numeric) = -1.083921418190398 absolute error = 1.332267629550188e-14 relative error = 1.229118280340303e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.889999999999957 y[1] (closed_form) = -1.084140226512987 y[1] (numeric) = -1.084140226513001 absolute error = 1.332267629550188e-14 relative error = 1.228870211591792e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.890999999999957 y[1] (closed_form) = -1.084358854009783 y[1] (numeric) = -1.084358854009796 absolute error = 1.332267629550188e-14 relative error = 1.228622447839734e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.891999999999957 y[1] (closed_form) = -1.08457730088396 y[1] (numeric) = -1.084577300883973 absolute error = 1.332267629550188e-14 relative error = 1.228374988545633e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.892999999999957 y[1] (closed_form) = -1.084795567338439 y[1] (numeric) = -1.084795567338453 absolute error = 1.354472090042691e-14 relative error = 1.248596630391759e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.893999999999957 y[1] (closed_form) = -1.085013653575877 y[1] (numeric) = -1.085013653575891 absolute error = 1.354472090042691e-14 relative error = 1.248345664203174e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.894999999999956 y[1] (closed_form) = -1.085231559798663 y[1] (numeric) = -1.085231559798676 absolute error = 1.332267629550188e-14 relative error = 1.22763443204449e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.895999999999956 y[1] (closed_form) = -1.08544928620892 y[1] (numeric) = -1.085449286208933 absolute error = 1.354472090042691e-14 relative error = 1.247844654975425e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.896999999999956 y[1] (closed_form) = -1.085666833008507 y[1] (numeric) = -1.085666833008521 absolute error = 1.354472090042691e-14 relative error = 1.247594610852478e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.897999999999956 y[1] (closed_form) = -1.085884200399018 y[1] (numeric) = -1.085884200399032 absolute error = 1.354472090042691e-14 relative error = 1.247344873003013e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.898999999999956 y[1] (closed_form) = -1.086101388581782 y[1] (numeric) = -1.086101388581796 absolute error = 1.354472090042691e-14 relative error = 1.247095440888207e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.899999999999956 y[1] (closed_form) = -1.086318397757864 y[1] (numeric) = -1.086318397757877 absolute error = 1.354472090042691e-14 relative error = 1.246846313970462e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.900999999999956 y[1] (closed_form) = -1.086535228128064 y[1] (numeric) = -1.086535228128078 absolute error = 1.354472090042691e-14 relative error = 1.246597491713399e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.901999999999956 y[1] (closed_form) = -1.086751879892921 y[1] (numeric) = -1.086751879892935 absolute error = 1.354472090042691e-14 relative error = 1.246348973581852e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.902999999999956 y[1] (closed_form) = -1.086968353252709 y[1] (numeric) = -1.086968353252723 absolute error = 1.354472090042691e-14 relative error = 1.246100759041869e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.903999999999956 y[1] (closed_form) = -1.087184648407439 y[1] (numeric) = -1.087184648407453 absolute error = 1.354472090042691e-14 relative error = 1.245852847560704e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.904999999999955 y[1] (closed_form) = -1.087400765556861 y[1] (numeric) = -1.087400765556874 absolute error = 1.354472090042691e-14 relative error = 1.245605238606819e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.905999999999955 y[1] (closed_form) = -1.087616704900461 y[1] (numeric) = -1.087616704900474 absolute error = 1.354472090042691e-14 relative error = 1.245357931649876e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.906999999999955 y[1] (closed_form) = -1.087832466637464 y[1] (numeric) = -1.087832466637477 absolute error = 1.354472090042691e-14 relative error = 1.245110926160736e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.907999999999955 y[1] (closed_form) = -1.088048050966834 y[1] (numeric) = -1.088048050966848 absolute error = 1.354472090042691e-14 relative error = 1.244864221611457e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.908999999999955 y[1] (closed_form) = -1.088263458087275 y[1] (numeric) = -1.088263458087288 absolute error = 1.354472090042691e-14 relative error = 1.244617817475286e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.909999999999955 y[1] (closed_form) = -1.088478688197227 y[1] (numeric) = -1.088478688197241 absolute error = 1.354472090042691e-14 relative error = 1.24437171322666e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.910999999999955 y[1] (closed_form) = -1.088693741494872 y[1] (numeric) = -1.088693741494886 absolute error = 1.376676550535194e-14 relative error = 1.264521415035321e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.911999999999955 y[1] (closed_form) = -1.088908618178132 y[1] (numeric) = -1.088908618178146 absolute error = 1.354472090042691e-14 relative error = 1.243880402295719e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.912999999999955 y[1] (closed_form) = -1.089123318444669 y[1] (numeric) = -1.089123318444682 absolute error = 1.354472090042691e-14 relative error = 1.243635194568192e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.913999999999954 y[1] (closed_form) = -1.089337842491884 y[1] (numeric) = -1.089337842491897 absolute error = 1.354472090042691e-14 relative error = 1.243390284637782e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.914999999999954 y[1] (closed_form) = -1.089552190516921 y[1] (numeric) = -1.089552190516934 absolute error = 1.354472090042691e-14 relative error = 1.243145671984821e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.915999999999954 y[1] (closed_form) = -1.089766362716664 y[1] (numeric) = -1.089766362716678 absolute error = 1.354472090042691e-14 relative error = 1.24290135609081e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.916999999999954 y[1] (closed_form) = -1.08998035928774 y[1] (numeric) = -1.089980359287754 absolute error = 1.354472090042691e-14 relative error = 1.242657336438416e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.917999999999954 y[1] (closed_form) = -1.090194180426517 y[1] (numeric) = -1.090194180426531 absolute error = 1.354472090042691e-14 relative error = 1.24241361251147e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.918999999999954 y[1] (closed_form) = -1.090407826329106 y[1] (numeric) = -1.09040782632912 absolute error = 1.354472090042691e-14 relative error = 1.242170183794962e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.919999999999954 y[1] (closed_form) = -1.09062129719136 y[1] (numeric) = -1.090621297191373 absolute error = 1.354472090042691e-14 relative error = 1.241927049775038e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.920999999999954 y[1] (closed_form) = -1.090834593208875 y[1] (numeric) = -1.090834593208888 absolute error = 1.354472090042691e-14 relative error = 1.241684209938999e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.921999999999954 y[1] (closed_form) = -1.09104771457699 y[1] (numeric) = -1.091047714577004 absolute error = 1.354472090042691e-14 relative error = 1.241441663775294e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.922999999999953 y[1] (closed_form) = -1.09126066149079 y[1] (numeric) = -1.091260661490803 absolute error = 1.354472090042691e-14 relative error = 1.241199410773521e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.923999999999953 y[1] (closed_form) = -1.091473434145101 y[1] (numeric) = -1.091473434145114 absolute error = 1.354472090042691e-14 relative error = 1.240957450424421e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.924999999999953 y[1] (closed_form) = -1.091686032734495 y[1] (numeric) = -1.091686032734509 absolute error = 1.376676550535194e-14 relative error = 1.261055385207086e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.925999999999953 y[1] (closed_form) = -1.091898457453289 y[1] (numeric) = -1.091898457453303 absolute error = 1.376676550535194e-14 relative error = 1.260810051647213e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.926999999999953 y[1] (closed_form) = -1.092110708495544 y[1] (numeric) = -1.092110708495558 absolute error = 1.376676550535194e-14 relative error = 1.260565013991721e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.927999999999953 y[1] (closed_form) = -1.092322786055067 y[1] (numeric) = -1.092322786055081 absolute error = 1.376676550535194e-14 relative error = 1.260320271727621e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.928999999999953 y[1] (closed_form) = -1.092534690325412 y[1] (numeric) = -1.092534690325425 absolute error = 1.376676550535194e-14 relative error = 1.26007582434307e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.929999999999953 y[1] (closed_form) = -1.092746421499875 y[1] (numeric) = -1.092746421499889 absolute error = 1.376676550535194e-14 relative error = 1.259831671327373e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.930999999999953 y[1] (closed_form) = -1.092957979771504 y[1] (numeric) = -1.092957979771517 absolute error = 1.376676550535194e-14 relative error = 1.259587812170972e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.931999999999952 y[1] (closed_form) = -1.093169365333089 y[1] (numeric) = -1.093169365333102 absolute error = 1.376676550535194e-14 relative error = 1.259344246365449e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.932999999999952 y[1] (closed_form) = -1.093380578377169 y[1] (numeric) = -1.093380578377183 absolute error = 1.376676550535194e-14 relative error = 1.259100973403517e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.933999999999952 y[1] (closed_form) = -1.093591619096032 y[1] (numeric) = -1.093591619096045 absolute error = 1.376676550535194e-14 relative error = 1.258857992779025e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.934999999999952 y[1] (closed_form) = -1.09380248768171 y[1] (numeric) = -1.093802487681724 absolute error = 1.376676550535194e-14 relative error = 1.258615303986947e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.935999999999952 y[1] (closed_form) = -1.094013184325987 y[1] (numeric) = -1.094013184326001 absolute error = 1.398881011027697e-14 relative error = 1.278669243725373e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.936999999999952 y[1] (closed_form) = -1.094223709220394 y[1] (numeric) = -1.094223709220407 absolute error = 1.376676550535194e-14 relative error = 1.258130799885556e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.937999999999952 y[1] (closed_form) = -1.094434062556209 y[1] (numeric) = -1.094434062556222 absolute error = 1.376676550535194e-14 relative error = 1.257888983571808e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.938999999999952 y[1] (closed_form) = -1.094644244524461 y[1] (numeric) = -1.094644244524474 absolute error = 1.376676550535194e-14 relative error = 1.257647457081597e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.939999999999952 y[1] (closed_form) = -1.094854255315928 y[1] (numeric) = -1.094854255315942 absolute error = 1.376676550535194e-14 relative error = 1.257406219915494e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.940999999999951 y[1] (closed_form) = -1.095064095121138 y[1] (numeric) = -1.095064095121152 absolute error = 1.376676550535194e-14 relative error = 1.25716527157518e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.941999999999951 y[1] (closed_form) = -1.09527376413037 y[1] (numeric) = -1.095273764130384 absolute error = 1.398881011027697e-14 relative error = 1.277197589169304e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.942999999999951 y[1] (closed_form) = -1.09548326253365 y[1] (numeric) = -1.095483262533664 absolute error = 1.398881011027697e-14 relative error = 1.276953340019403e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.943999999999951 y[1] (closed_form) = -1.09569259052076 y[1] (numeric) = -1.095692590520774 absolute error = 1.398881011027697e-14 relative error = 1.27670938284144e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.944999999999951 y[1] (closed_form) = -1.095901748281227 y[1] (numeric) = -1.095901748281241 absolute error = 1.398881011027697e-14 relative error = 1.27646571713354e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.945999999999951 y[1] (closed_form) = -1.096110736004336 y[1] (numeric) = -1.09611073600435 absolute error = 1.398881011027697e-14 relative error = 1.276222342394942e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.946999999999951 y[1] (closed_form) = -1.096319553879118 y[1] (numeric) = -1.096319553879132 absolute error = 1.398881011027697e-14 relative error = 1.275979258125994e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.947999999999951 y[1] (closed_form) = -1.096528202094359 y[1] (numeric) = -1.096528202094373 absolute error = 1.398881011027697e-14 relative error = 1.27573646382815e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.948999999999951 y[1] (closed_form) = -1.096736680838599 y[1] (numeric) = -1.096736680838613 absolute error = 1.398881011027697e-14 relative error = 1.27549395900397e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.94999999999995 y[1] (closed_form) = -1.096944990300126 y[1] (numeric) = -1.09694499030014 absolute error = 1.398881011027697e-14 relative error = 1.275251743157112e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95099999999995 y[1] (closed_form) = -1.097153130666986 y[1] (numeric) = -1.097153130667 absolute error = 1.398881011027697e-14 relative error = 1.275009815792335e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95199999999995 y[1] (closed_form) = -1.097361102126975 y[1] (numeric) = -1.097361102126989 absolute error = 1.4210854715202e-14 relative error = 1.29500259191415e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95299999999995 y[1] (closed_form) = -1.097568904867645 y[1] (numeric) = -1.097568904867659 absolute error = 1.398881011027697e-14 relative error = 1.274526824533524e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95399999999995 y[1] (closed_form) = -1.097776539076301 y[1] (numeric) = -1.097776539076315 absolute error = 1.4210854715202e-14 relative error = 1.294512517744222e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95499999999995 y[1] (closed_form) = -1.097984004940003 y[1] (numeric) = -1.097984004940017 absolute error = 1.4210854715202e-14 relative error = 1.294267917498355e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95599999999995 y[1] (closed_form) = -1.098191302645565 y[1] (numeric) = -1.098191302645579 absolute error = 1.4210854715202e-14 relative error = 1.294023607814756e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95699999999995 y[1] (closed_form) = -1.098398432379556 y[1] (numeric) = -1.09839843237957 absolute error = 1.4210854715202e-14 relative error = 1.293779588196953e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95799999999995 y[1] (closed_form) = -1.098605394328302 y[1] (numeric) = -1.098605394328316 absolute error = 1.4210854715202e-14 relative error = 1.293535858149564e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.958999999999949 y[1] (closed_form) = -1.098812188677883 y[1] (numeric) = -1.098812188677897 absolute error = 1.4210854715202e-14 relative error = 1.293292417178303e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.959999999999949 y[1] (closed_form) = -1.099018815614136 y[1] (numeric) = -1.09901881561415 absolute error = 1.443289932012704e-14 relative error = 1.313253159552311e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.960999999999949 y[1] (closed_form) = -1.099225275322655 y[1] (numeric) = -1.099225275322669 absolute error = 1.443289932012704e-14 relative error = 1.313006500500142e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.961999999999949 y[1] (closed_form) = -1.099431567988788 y[1] (numeric) = -1.099431567988802 absolute error = 1.443289932012704e-14 relative error = 1.312760133541501e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.962999999999949 y[1] (closed_form) = -1.099637693797644 y[1] (numeric) = -1.099637693797658 absolute error = 1.443289932012704e-14 relative error = 1.312514058178783e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.963999999999949 y[1] (closed_form) = -1.099843652934086 y[1] (numeric) = -1.0998436529341 absolute error = 1.443289932012704e-14 relative error = 1.312268273915475e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.964999999999949 y[1] (closed_form) = -1.100049445582737 y[1] (numeric) = -1.100049445582751 absolute error = 1.465494392505207e-14 relative error = 1.332207746106249e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.965999999999949 y[1] (closed_form) = -1.100255071927976 y[1] (numeric) = -1.100255071927991 absolute error = 1.465494392505207e-14 relative error = 1.33195877019428e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.966999999999949 y[1] (closed_form) = -1.100460532153943 y[1] (numeric) = -1.100460532153958 absolute error = 1.465494392505207e-14 relative error = 1.331710088354353e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.967999999999948 y[1] (closed_form) = -1.100665826444535 y[1] (numeric) = -1.100665826444549 absolute error = 1.465494392505207e-14 relative error = 1.331461700086731e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.968999999999948 y[1] (closed_form) = -1.100870954983407 y[1] (numeric) = -1.100870954983422 absolute error = 1.465494392505207e-14 relative error = 1.331213604892769e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.969999999999948 y[1] (closed_form) = -1.101075917953976 y[1] (numeric) = -1.10107591795399 absolute error = 1.465494392505207e-14 relative error = 1.330965802274919e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.970999999999948 y[1] (closed_form) = -1.101280715539416 y[1] (numeric) = -1.101280715539431 absolute error = 1.465494392505207e-14 relative error = 1.330718291736722e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.971999999999948 y[1] (closed_form) = -1.101485347922664 y[1] (numeric) = -1.101485347922678 absolute error = 1.465494392505207e-14 relative error = 1.330471072782804e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.972999999999948 y[1] (closed_form) = -1.101689815286413 y[1] (numeric) = -1.101689815286428 absolute error = 1.48769885299771e-14 relative error = 1.350379056205528e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.973999999999948 y[1] (closed_form) = -1.101894117813122 y[1] (numeric) = -1.101894117813137 absolute error = 1.48769885299771e-14 relative error = 1.350128682010097e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.974999999999948 y[1] (closed_form) = -1.102098255685007 y[1] (numeric) = -1.102098255685022 absolute error = 1.48769885299771e-14 relative error = 1.349878602314848e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.975999999999948 y[1] (closed_form) = -1.102302229084047 y[1] (numeric) = -1.102302229084062 absolute error = 1.465494392505207e-14 relative error = 1.329485102940373e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.976999999999947 y[1] (closed_form) = -1.102506038191981 y[1] (numeric) = -1.102506038191996 absolute error = 1.465494392505207e-14 relative error = 1.329239334515116e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.977999999999947 y[1] (closed_form) = -1.102709683190313 y[1] (numeric) = -1.102709683190327 absolute error = 1.465494392505207e-14 relative error = 1.328993854724573e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.978999999999947 y[1] (closed_form) = -1.102913164260305 y[1] (numeric) = -1.10291316426032 absolute error = 1.465494392505207e-14 relative error = 1.328748663080901e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.979999999999947 y[1] (closed_form) = -1.103116481582986 y[1] (numeric) = -1.103116481583001 absolute error = 1.465494392505207e-14 relative error = 1.32850375909732e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.980999999999947 y[1] (closed_form) = -1.103319635339145 y[1] (numeric) = -1.10331963533916 absolute error = 1.465494392505207e-14 relative error = 1.328259142288113e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.981999999999947 y[1] (closed_form) = -1.103522625709336 y[1] (numeric) = -1.103522625709351 absolute error = 1.465494392505207e-14 relative error = 1.32801481216862e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.982999999999947 y[1] (closed_form) = -1.103725452873874 y[1] (numeric) = -1.103725452873889 absolute error = 1.465494392505207e-14 relative error = 1.32777076825524e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.983999999999947 y[1] (closed_form) = -1.103928117012841 y[1] (numeric) = -1.103928117012856 absolute error = 1.465494392505207e-14 relative error = 1.32752701006542e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.984999999999947 y[1] (closed_form) = -1.104130618306082 y[1] (numeric) = -1.104130618306096 absolute error = 1.465494392505207e-14 relative error = 1.327283537117661e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.985999999999946 y[1] (closed_form) = -1.104332956933205 y[1] (numeric) = -1.104332956933219 absolute error = 1.465494392505207e-14 relative error = 1.327040348931511e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.986999999999946 y[1] (closed_form) = -1.104535133073584 y[1] (numeric) = -1.104535133073599 absolute error = 1.465494392505207e-14 relative error = 1.326797445027559e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.987999999999946 y[1] (closed_form) = -1.10473714690636 y[1] (numeric) = -1.104737146906374 absolute error = 1.465494392505207e-14 relative error = 1.326554824927441e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.988999999999946 y[1] (closed_form) = -1.104938998610436 y[1] (numeric) = -1.104938998610451 absolute error = 1.48769885299771e-14 relative error = 1.346408131913735e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.989999999999946 y[1] (closed_form) = -1.105140688364483 y[1] (numeric) = -1.105140688364498 absolute error = 1.48769885299771e-14 relative error = 1.346162410506648e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.990999999999946 y[1] (closed_form) = -1.105342216346939 y[1] (numeric) = -1.105342216346954 absolute error = 1.48769885299771e-14 relative error = 1.345916975752927e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.991999999999946 y[1] (closed_form) = -1.105543582736005 y[1] (numeric) = -1.10554358273602 absolute error = 1.509903313490213e-14 relative error = 1.365756481308042e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.992999999999946 y[1] (closed_form) = -1.105744787709652 y[1] (numeric) = -1.105744787709668 absolute error = 1.509903313490213e-14 relative error = 1.365507963747856e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.993999999999946 y[1] (closed_form) = -1.105945831445618 y[1] (numeric) = -1.105945831445633 absolute error = 1.48769885299771e-14 relative error = 1.345182386603049e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.994999999999945 y[1] (closed_form) = -1.106146714121405 y[1] (numeric) = -1.10614671412142 absolute error = 1.48769885299771e-14 relative error = 1.344938093659091e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.995999999999945 y[1] (closed_form) = -1.106347435914286 y[1] (numeric) = -1.106347435914301 absolute error = 1.48769885299771e-14 relative error = 1.344694084971847e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.996999999999945 y[1] (closed_form) = -1.106547997001301 y[1] (numeric) = -1.106547997001316 absolute error = 1.509903313490213e-14 relative error = 1.364516783349649e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.997999999999945 y[1] (closed_form) = -1.106748397559259 y[1] (numeric) = -1.106748397559274 absolute error = 1.509903313490213e-14 relative error = 1.364269708291461e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.998999999999945 y[1] (closed_form) = -1.106948637764737 y[1] (numeric) = -1.106948637764752 absolute error = 1.509903313490213e-14 relative error = 1.364022920285772e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.999999999999945 y[1] (closed_form) = -1.10714871779408 y[1] (numeric) = -1.107148717794095 absolute error = 1.509903313490213e-14 relative error = 1.363776418852379e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 Finished! diff ( y , x , 1 ) = 1.0 / ( x * x + 1.0 ) ; Iterations = 501 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 0 %