##############ECHO OF PROBLEM################# ##############temp/div_c_lin_backpostode.ode################# diff ( y , x , 1 ) = 2.0 / ( 0.2 * x + 0.3 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(3.1); x_end=c(2.5); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_display_interval=c(0.1); glob_type_given_pole=1; array_given_rad_poles[1][1]=c(-1.5); array_given_rad_poles[1][2]=c(0.0); 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(c(10.0)* ln(c(0.2)* c(x) + c(0.3))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 3.099 y[1] (closed_form) = -0.8359902387631342 y[1] (numeric) = -0.8359902387631344 absolute error = 2.220446049250313e-16 relative error = 2.65606695663757e-14 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.098 y[1] (closed_form) = -0.8381648609311037 y[1] (numeric) = -0.838164860931104 absolute error = 3.33066907387547e-16 relative error = 3.973763670043963e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.097 y[1] (closed_form) = -0.8403399561000919 y[1] (numeric) = -0.8403399561000926 absolute error = 6.661338147750939e-16 relative error = 7.926956345935686e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.096000000000001 y[1] (closed_form) = -0.8425155244759086 y[1] (numeric) = -0.8425155244759095 absolute error = 8.881784197001252e-16 relative error = 1.054198283470944e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.095000000000001 y[1] (closed_form) = -0.8446915662644972 y[1] (numeric) = -0.8446915662644983 absolute error = 1.110223024625157e-15 relative error = 1.314353154412239e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.094000000000001 y[1] (closed_form) = -0.8468680816719355 y[1] (numeric) = -0.8468680816719369 absolute error = 1.443289932012704e-15 relative error = 1.704267716836461e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.093000000000001 y[1] (closed_form) = -0.8490450709044364 y[1] (numeric) = -0.849045070904438 absolute error = 1.665334536937735e-15 relative error = 1.96142065245577e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.092000000000001 y[1] (closed_form) = -0.8512225341683473 y[1] (numeric) = -0.851222534168349 absolute error = 1.77635683940025e-15 relative error = 2.086830139119576e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.091000000000001 y[1] (closed_form) = -0.85340047167015 y[1] (numeric) = -0.853400471670152 absolute error = 1.998401444325282e-15 relative error = 2.341692453502286e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.090000000000001 y[1] (closed_form) = -0.8555788836164618 y[1] (numeric) = -0.8555788836164641 absolute error = 2.220446049250313e-15 relative error = 2.595255787361967e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.089000000000001 y[1] (closed_form) = -0.857757770214035 y[1] (numeric) = -0.8577577702140374 absolute error = 2.442490654175344e-15 relative error = 2.847529616159436e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.088000000000001 y[1] (closed_form) = -0.8599371316697567 y[1] (numeric) = -0.8599371316697594 absolute error = 2.664535259100376e-15 relative error = 3.098523323358064e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.087000000000002 y[1] (closed_form) = -0.8621169681906495 y[1] (numeric) = -0.8621169681906525 absolute error = 2.997602166487923e-15 relative error = 3.477024901596681e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.086000000000002 y[1] (closed_form) = -0.8642972799838717 y[1] (numeric) = -0.864297279983875 absolute error = 3.219646771412954e-15 relative error = 3.725161291116217e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.085000000000002 y[1] (closed_form) = -0.8664780672567168 y[1] (numeric) = -0.8664780672567202 absolute error = 3.33066907387547e-15 relative error = 3.843916193309336e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.084000000000002 y[1] (closed_form) = -0.8686593302166139 y[1] (numeric) = -0.8686593302166175 absolute error = 3.552713678800501e-15 relative error = 4.089881447442205e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.083000000000002 y[1] (closed_form) = -0.8708410690711279 y[1] (numeric) = -0.8708410690711318 absolute error = 3.885780586188048e-15 relative error = 4.462100748570309e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.082000000000002 y[1] (closed_form) = -0.87302328402796 y[1] (numeric) = -0.873023284027964 absolute error = 3.996802888650564e-15 relative error = 4.57811717255706e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.081000000000002 y[1] (closed_form) = -0.8752059752949468 y[1] (numeric) = -0.875205975294951 absolute error = 4.218847493575595e-15 relative error = 4.820405267632949e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.080000000000002 y[1] (closed_form) = -0.8773891430800613 y[1] (numeric) = -0.8773891430800659 absolute error = 4.551914400963142e-15 relative error = 5.188022255419887e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.079000000000002 y[1] (closed_form) = -0.879572787591413 y[1] (numeric) = -0.8795727875914178 absolute error = 4.773959005888173e-15 relative error = 5.427588339745016e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.078000000000003 y[1] (closed_form) = -0.8817569090372472 y[1] (numeric) = -0.8817569090372522 absolute error = 4.996003610813204e-15 relative error = 5.665964802326446e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.077000000000003 y[1] (closed_form) = -0.8839415076259461 y[1] (numeric) = -0.8839415076259515 absolute error = 5.329070518200751e-15 relative error = 6.028759224706339e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.076000000000003 y[1] (closed_form) = -0.8861265835660286 y[1] (numeric) = -0.886126583566034 absolute error = 5.440092820663267e-15 relative error = 6.139182506827373e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.075000000000003 y[1] (closed_form) = -0.8883121370661496 y[1] (numeric) = -0.8883121370661554 absolute error = 5.773159728050814e-15 relative error = 6.499021556902251e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.074000000000003 y[1] (closed_form) = -0.8904981683351019 y[1] (numeric) = -0.8904981683351079 absolute error = 5.995204332975845e-15 relative error = 6.732416243128981e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.073000000000003 y[1] (closed_form) = -0.8926846775818142 y[1] (numeric) = -0.8926846775818205 absolute error = 6.217248937900877e-15 relative error = 6.9646641126884e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.072000000000003 y[1] (closed_form) = -0.8948716650153531 y[1] (numeric) = -0.8948716650153595 absolute error = 6.439293542825908e-15 relative error = 7.195773198065703e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.071000000000003 y[1] (closed_form) = -0.8970591308449221 y[1] (numeric) = -0.8970591308449286 absolute error = 6.550315845288424e-15 relative error = 7.301988932567703e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.070000000000003 y[1] (closed_form) = -0.8992470752798616 y[1] (numeric) = -0.8992470752798685 absolute error = 6.883382752675971e-15 relative error = 7.654606772597776e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.069000000000004 y[1] (closed_form) = -0.9014354985296501 y[1] (numeric) = -0.9014354985296573 absolute error = 7.216449660063518e-15 relative error = 8.005508626889463e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.068000000000004 y[1] (closed_form) = -0.9036244008039035 y[1] (numeric) = -0.9036244008039109 absolute error = 7.438494264988549e-15 relative error = 8.231843073705117e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.067000000000004 y[1] (closed_form) = -0.9058137823123751 y[1] (numeric) = -0.9058137823123827 absolute error = 7.66053886991358e-15 relative error = 8.457079169581237e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.066000000000004 y[1] (closed_form) = -0.9080036432649561 y[1] (numeric) = -0.9080036432649641 absolute error = 7.993605777301127e-15 relative error = 8.803495268541106e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.065000000000004 y[1] (closed_form) = -0.9101939838716757 y[1] (numeric) = -0.910193983871684 absolute error = 8.326672684688674e-15 relative error = 9.148239641476927e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.064000000000004 y[1] (closed_form) = -0.9123848043427013 y[1] (numeric) = -0.9123848043427099 absolute error = 8.548717289613705e-15 relative error = 9.369640144075348e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.063000000000004 y[1] (closed_form) = -0.9145761048883382 y[1] (numeric) = -0.914576104888347 absolute error = 8.770761894538737e-15 relative error = 9.589974904941969e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.062000000000004 y[1] (closed_form) = -0.91676788571903 y[1] (numeric) = -0.916767885719039 absolute error = 8.992806499463768e-15 relative error = 9.809251217837569e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.061000000000004 y[1] (closed_form) = -0.9189601470453589 y[1] (numeric) = -0.9189601470453681 absolute error = 9.214851104388799e-15 relative error = 1.00274763100624e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.060000000000004 y[1] (closed_form) = -0.9211528890780453 y[1] (numeric) = -0.9211528890780548 absolute error = 9.547918011776346e-15 relative error = 1.036518272371981e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.059000000000005 y[1] (closed_form) = -0.9233461120279486 y[1] (numeric) = -0.9233461120279584 absolute error = 9.769962616701378e-15 relative error = 1.058104051063103e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.058000000000005 y[1] (closed_form) = -0.9255398161060668 y[1] (numeric) = -0.9255398161060767 absolute error = 9.880984919163893e-15 relative error = 1.067591555459515e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.057000000000005 y[1] (closed_form) = -0.9277340015235368 y[1] (numeric) = -0.9277340015235469 absolute error = 1.010302952408892e-14 relative error = 1.08900067341475e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.056000000000005 y[1] (closed_form) = -0.9299286684916344 y[1] (numeric) = -0.9299286684916448 absolute error = 1.043609643147647e-14 relative error = 1.122246983567467e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.055000000000005 y[1] (closed_form) = -0.9321238172217748 y[1] (numeric) = -0.9321238172217854 absolute error = 1.054711873393899e-14 relative error = 1.131514777229383e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.054000000000005 y[1] (closed_form) = -0.9343194479255122 y[1] (numeric) = -0.934319447925523 absolute error = 1.076916333886402e-14 relative error = 1.152621125758969e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.053000000000005 y[1] (closed_form) = -0.9365155608145403 y[1] (numeric) = -0.9365155608145515 absolute error = 1.110223024625157e-14 relative error = 1.185482730964484e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.052000000000005 y[1] (closed_form) = -0.9387121561006926 y[1] (numeric) = -0.9387121561007038 absolute error = 1.121325254871408e-14 relative error = 1.194535777111133e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.051000000000005 y[1] (closed_form) = -0.9409092339959413 y[1] (numeric) = -0.9409092339959529 absolute error = 1.165734175856414e-14 relative error = 1.238944346316664e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.050000000000006 y[1] (closed_form) = -0.9431067947123994 y[1] (numeric) = -0.9431067947124113 absolute error = 1.187938636348917e-14 relative error = 1.259601397221594e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.049000000000006 y[1] (closed_form) = -0.9453048384623195 y[1] (numeric) = -0.9453048384623315 absolute error = 1.199040866595169e-14 relative error = 1.268417147367604e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.048000000000006 y[1] (closed_form) = -0.9475033654580934 y[1] (numeric) = -0.9475033654581058 absolute error = 1.232347557333924e-14 relative error = 1.300626047632153e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.047000000000006 y[1] (closed_form) = -0.9497023759122541 y[1] (numeric) = -0.9497023759122667 absolute error = 1.254552017826427e-14 relative error = 1.320994923932189e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.046000000000006 y[1] (closed_form) = -0.9519018700374744 y[1] (numeric) = -0.9519018700374872 absolute error = 1.27675647831893e-14 relative error = 1.341269009450172e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.045000000000006 y[1] (closed_form) = -0.9541018480465673 y[1] (numeric) = -0.9541018480465803 absolute error = 1.298960938811433e-14 relative error = 1.361448928613787e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.044000000000006 y[1] (closed_form) = -0.9563023101524863 y[1] (numeric) = -0.9563023101524996 absolute error = 1.321165399303936e-14 relative error = 1.381535300373028e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.043000000000006 y[1] (closed_form) = -0.9585032565683258 y[1] (numeric) = -0.9585032565683393 absolute error = 1.354472090042691e-14 relative error = 1.41311162039452e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.042000000000006 y[1] (closed_form) = -0.9607046875073209 y[1] (numeric) = -0.9607046875073346 absolute error = 1.376676550535194e-14 relative error = 1.432986190696299e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.041000000000007 y[1] (closed_form) = -0.962906603182847 y[1] (numeric) = -0.9629066031828611 absolute error = 1.409983241273949e-14 relative error = 1.46429906764925e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.040000000000007 y[1] (closed_form) = -0.9651090038084214 y[1] (numeric) = -0.9651090038084357 absolute error = 1.432187701766452e-14 relative error = 1.483964708768532e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.039000000000007 y[1] (closed_form) = -0.9673118895977018 y[1] (numeric) = -0.9673118895977163 absolute error = 1.454392162258955e-14 relative error = 1.503540045252443e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.038000000000007 y[1] (closed_form) = -0.9695152607644872 y[1] (numeric) = -0.969515260764502 absolute error = 1.476596622751458e-14 relative error = 1.523025662935026e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.037000000000007 y[1] (closed_form) = -0.9717191175227182 y[1] (numeric) = -0.9717191175227334 absolute error = 1.521005543736464e-14 relative error = 1.565272840997599e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.036000000000007 y[1] (closed_form) = -0.9739234600864771 y[1] (numeric) = -0.9739234600864924 absolute error = 1.532107773982716e-14 relative error = 1.573129549468576e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.035000000000007 y[1] (closed_form) = -0.9761282886699871 y[1] (numeric) = -0.9761282886700027 absolute error = 1.554312234475219e-14 relative error = 1.592323726825938e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.034000000000007 y[1] (closed_form) = -0.9783336034876134 y[1] (numeric) = -0.9783336034876294 absolute error = 1.598721155460225e-14 relative error = 1.634126794542294e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.033000000000007 y[1] (closed_form) = -0.9805394047538638 y[1] (numeric) = -0.9805394047538799 absolute error = 1.609823385706477e-14 relative error = 1.641773270815747e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.032000000000008 y[1] (closed_form) = -0.9827456926833867 y[1] (numeric) = -0.9827456926834032 absolute error = 1.643130076445232e-14 relative error = 1.671978914462261e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.031000000000008 y[1] (closed_form) = -0.9849524674909739 y[1] (numeric) = -0.9849524674909905 absolute error = 1.665334536937735e-14 relative error = 1.690776552070515e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.030000000000008 y[1] (closed_form) = -0.9871597293915585 y[1] (numeric) = -0.9871597293915755 absolute error = 1.69864122767649e-14 relative error = 1.720735942828074e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.029000000000008 y[1] (closed_form) = -0.9893674786002167 y[1] (numeric) = -0.9893674786002338 absolute error = 1.709743457922741e-14 relative error = 1.72811770641757e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.028000000000008 y[1] (closed_form) = -0.9915757153321665 y[1] (numeric) = -0.9915757153321838 absolute error = 1.731947918415244e-14 relative error = 1.746662298839238e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.027000000000008 y[1] (closed_form) = -0.993784439802769 y[1] (numeric) = -0.9937844398027865 absolute error = 1.754152378907747e-14 relative error = 1.765123610967268e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.026000000000008 y[1] (closed_form) = -0.9959936522275277 y[1] (numeric) = -0.9959936522275455 absolute error = 1.787459069646502e-14 relative error = 1.794649057901997e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.025000000000008 y[1] (closed_form) = -0.9982033528220893 y[1] (numeric) = -0.9982033528221074 absolute error = 1.809663530139005e-14 relative error = 1.812920709014632e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.024000000000008 y[1] (closed_form) = -1.000413541802243 y[1] (numeric) = -1.000413541802261 absolute error = 1.820765760385257e-14 relative error = 1.820013108884103e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.023000000000009 y[1] (closed_form) = -1.002624219383922 y[1] (numeric) = -1.002624219383941 absolute error = 1.84297022087776e-14 relative error = 1.838146521146478e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.022000000000009 y[1] (closed_form) = -1.004835385783202 y[1] (numeric) = -1.004835385783221 absolute error = 1.865174681370263e-14 relative error = 1.856199241944971e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.021000000000009 y[1] (closed_form) = -1.007047041216302 y[1] (numeric) = -1.007047041216321 absolute error = 1.887379141862766e-14 relative error = 1.874171776110089e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.020000000000009 y[1] (closed_form) = -1.009259185899584 y[1] (numeric) = -1.009259185899604 absolute error = 1.931788062847772e-14 relative error = 1.914065375710115e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.019000000000009 y[1] (closed_form) = -1.011471820049556 y[1] (numeric) = -1.011471820049576 absolute error = 1.953992523340276e-14 relative error = 1.931830906811167e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.018000000000009 y[1] (closed_form) = -1.013684943882867 y[1] (numeric) = -1.013684943882887 absolute error = 1.976196983832779e-14 relative error = 1.949517940222196e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.017000000000009 y[1] (closed_form) = -1.015898557616311 y[1] (numeric) = -1.015898557616331 absolute error = 1.998401444325282e-14 relative error = 1.967126962965969e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.016000000000009 y[1] (closed_form) = -1.018112661466826 y[1] (numeric) = -1.018112661466846 absolute error = 1.998401444325282e-14 relative error = 1.962849024435198e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.015000000000009 y[1] (closed_form) = -1.020327255651494 y[1] (numeric) = -1.020327255651514 absolute error = 2.042810365310288e-14 relative error = 2.002112904458211e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.01400000000001 y[1] (closed_form) = -1.022542340387542 y[1] (numeric) = -1.022542340387562 absolute error = 2.065014825802791e-14 relative error = 2.019490777291583e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.01300000000001 y[1] (closed_form) = -1.024757915892339 y[1] (numeric) = -1.02475791589236 absolute error = 2.087219286295294e-14 relative error = 2.036792547708972e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.01200000000001 y[1] (closed_form) = -1.026973982383403 y[1] (numeric) = -1.026973982383424 absolute error = 2.087219286295294e-14 relative error = 2.032397433722003e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.01100000000001 y[1] (closed_form) = -1.029190540078392 y[1] (numeric) = -1.029190540078413 absolute error = 2.131628207280301e-14 relative error = 2.07116964669918e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.01000000000001 y[1] (closed_form) = -1.03140758919511 y[1] (numeric) = -1.031407589195132 absolute error = 2.153832667772804e-14 relative error = 2.088245898455732e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.00900000000001 y[1] (closed_form) = -1.033625129951508 y[1] (numeric) = -1.03362512995153 absolute error = 2.19824158875781e-14 relative error = 2.126730015611112e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.00800000000001 y[1] (closed_form) = -1.035843162565681 y[1] (numeric) = -1.035843162565703 absolute error = 2.19824158875781e-14 relative error = 2.122176086303435e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.00700000000001 y[1] (closed_form) = -1.038061687255867 y[1] (numeric) = -1.038061687255889 absolute error = 2.242650509742816e-14 relative error = 2.160421232452283e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.00600000000001 y[1] (closed_form) = -1.040280704240452 y[1] (numeric) = -1.040280704240475 absolute error = 2.242650509742816e-14 relative error = 2.155812849936748e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.005000000000011 y[1] (closed_form) = -1.042500213737966 y[1] (numeric) = -1.042500213737989 absolute error = 2.287059430727822e-14 relative error = 2.19382154611498e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.004000000000011 y[1] (closed_form) = -1.044720215967086 y[1] (numeric) = -1.044720215967109 absolute error = 2.331468351712829e-14 relative error = 2.231667690621469e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.003000000000011 y[1] (closed_form) = -1.046940711146632 y[1] (numeric) = -1.046940711146656 absolute error = 2.331468351712829e-14 relative error = 2.226934464282465e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.002000000000011 y[1] (closed_form) = -1.049161699495573 y[1] (numeric) = -1.049161699495597 absolute error = 2.375877272697835e-14 relative error = 2.264548232975083e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.001000000000011 y[1] (closed_form) = -1.051383181233021 y[1] (numeric) = -1.051383181233045 absolute error = 2.398081733190338e-14 relative error = 2.280882722869849e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 3.000000000000011 y[1] (closed_form) = -1.053605156578237 y[1] (numeric) = -1.053605156578261 absolute error = 2.420286193682841e-14 relative error = 2.297147255375187e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.999000000000011 y[1] (closed_form) = -1.055827625750627 y[1] (numeric) = -1.05582762575065 absolute error = 2.220446049250313e-14 relative error = 2.10303840806563e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.998000000000011 y[1] (closed_form) = -1.05805058896974 y[1] (numeric) = -1.058050588969762 absolute error = 2.220446049250313e-14 relative error = 2.09861992649372e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.997000000000011 y[1] (closed_form) = -1.060274046455276 y[1] (numeric) = -1.060274046455298 absolute error = 2.264854970235319e-14 relative error = 2.136103376110371e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.996000000000012 y[1] (closed_form) = -1.062497998427079 y[1] (numeric) = -1.062497998427102 absolute error = 2.287059430727822e-14 relative error = 2.152530578046812e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.995000000000012 y[1] (closed_form) = -1.064722445105143 y[1] (numeric) = -1.064722445105166 absolute error = 2.309263891220326e-14 relative error = 2.16888814717556e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.994000000000012 y[1] (closed_form) = -1.066947386709604 y[1] (numeric) = -1.066947386709628 absolute error = 2.353672812205332e-14 relative error = 2.205987700540609e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.993000000000012 y[1] (closed_form) = -1.069172823460749 y[1] (numeric) = -1.069172823460773 absolute error = 2.375877272697835e-14 relative error = 2.222163920148552e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.992000000000012 y[1] (closed_form) = -1.071398755579011 y[1] (numeric) = -1.071398755579035 absolute error = 2.398081733190338e-14 relative error = 2.238271904557473e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.991000000000012 y[1] (closed_form) = -1.073625183284968 y[1] (numeric) = -1.073625183284992 absolute error = 2.420286193682841e-14 relative error = 2.25431205542096e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.990000000000012 y[1] (closed_form) = -1.075852106799348 y[1] (numeric) = -1.075852106799373 absolute error = 2.464695114667848e-14 relative error = 2.290923723707989e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.989000000000012 y[1] (closed_form) = -1.078079526343027 y[1] (numeric) = -1.078079526343052 absolute error = 2.486899575160351e-14 relative error = 2.306786757741526e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.988000000000012 y[1] (closed_form) = -1.080307442137025 y[1] (numeric) = -1.08030744213705 absolute error = 2.531308496145357e-14 relative error = 2.343137145420395e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.987000000000013 y[1] (closed_form) = -1.082535854402514 y[1] (numeric) = -1.082535854402539 absolute error = 2.55351295663786e-14 relative error = 2.358825295488458e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.986000000000013 y[1] (closed_form) = -1.084764763360811 y[1] (numeric) = -1.084764763360837 absolute error = 2.575717417130363e-14 relative error = 2.374447902557503e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.985000000000013 y[1] (closed_form) = -1.086994169233382 y[1] (numeric) = -1.086994169233408 absolute error = 2.597921877622866e-14 relative error = 2.390005347917448e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.984000000000013 y[1] (closed_form) = -1.089224072241841 y[1] (numeric) = -1.089224072241868 absolute error = 2.620126338115369e-14 relative error = 2.405498009902246e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.983000000000013 y[1] (closed_form) = -1.091454472607951 y[1] (numeric) = -1.091454472607978 absolute error = 2.664535259100376e-14 relative error = 2.44127018210266e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.982000000000013 y[1] (closed_form) = -1.093685370553623 y[1] (numeric) = -1.09368537055365 absolute error = 2.686739719592879e-14 relative error = 2.456592903160854e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.981000000000013 y[1] (closed_form) = -1.095916766300916 y[1] (numeric) = -1.095916766300943 absolute error = 2.708944180085382e-14 relative error = 2.471852118139384e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.980000000000013 y[1] (closed_form) = -1.098148660072037 y[1] (numeric) = -1.098148660072064 absolute error = 2.731148640577885e-14 relative error = 2.48704819290926e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.979000000000013 y[1] (closed_form) = -1.100381052089344 y[1] (numeric) = -1.100381052089372 absolute error = 2.775557561562891e-14 relative error = 2.522360373520438e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.978000000000014 y[1] (closed_form) = -1.102613942575344 y[1] (numeric) = -1.102613942575372 absolute error = 2.797762022055394e-14 relative error = 2.53739039025821e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.977000000000014 y[1] (closed_form) = -1.104847331752689 y[1] (numeric) = -1.104847331752718 absolute error = 2.819966482547898e-14 relative error = 2.552358503753098e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.976000000000014 y[1] (closed_form) = -1.107081219844186 y[1] (numeric) = -1.107081219844214 absolute error = 2.819966482547898e-14 relative error = 2.547208309562679e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.975000000000014 y[1] (closed_form) = -1.109315607072787 y[1] (numeric) = -1.109315607072815 absolute error = 2.864375403532904e-14 relative error = 2.582110433919966e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.974000000000014 y[1] (closed_form) = -1.111550493661595 y[1] (numeric) = -1.111550493661624 absolute error = 2.886579864025407e-14 relative error = 2.596894950328914e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.973000000000014 y[1] (closed_form) = -1.113785879833863 y[1] (numeric) = -1.113785879833892 absolute error = 2.90878432451791e-14 relative error = 2.611618963019892e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.972000000000014 y[1] (closed_form) = -1.116021765812993 y[1] (numeric) = -1.116021765813022 absolute error = 2.930988785010413e-14 relative error = 2.626282815259669e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.971000000000014 y[1] (closed_form) = -1.118258151822537 y[1] (numeric) = -1.118258151822566 absolute error = 2.953193245502916e-14 relative error = 2.640886847719198e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.970000000000014 y[1] (closed_form) = -1.120495038086198 y[1] (numeric) = -1.120495038086228 absolute error = 2.97539770599542e-14 relative error = 2.655431398498104e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.969000000000015 y[1] (closed_form) = -1.122732424827828 y[1] (numeric) = -1.122732424827858 absolute error = 3.019806626980426e-14 relative error = 2.689693964653704e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.968000000000015 y[1] (closed_form) = -1.124970312271429 y[1] (numeric) = -1.12497031227146 absolute error = 3.042011087472929e-14 relative error = 2.704081213779588e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.967000000000015 y[1] (closed_form) = -1.127208700641156 y[1] (numeric) = -1.127208700641186 absolute error = 3.064215547965432e-14 relative error = 2.718410127798436e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.966000000000015 y[1] (closed_form) = -1.12944759016131 y[1] (numeric) = -1.129447590161341 absolute error = 3.086420008457935e-14 relative error = 2.732681033935471e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.965000000000015 y[1] (closed_form) = -1.131686981056347 y[1] (numeric) = -1.131686981056379 absolute error = 3.108624468950438e-14 relative error = 2.746894256969152e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.964000000000015 y[1] (closed_form) = -1.133926873550873 y[1] (numeric) = -1.133926873550904 absolute error = 3.130828929442941e-14 relative error = 2.76105011925399e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.963000000000015 y[1] (closed_form) = -1.136167267869642 y[1] (numeric) = -1.136167267869674 absolute error = 3.153033389935445e-14 relative error = 2.775148940743122e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.962000000000015 y[1] (closed_form) = -1.138408164237563 y[1] (numeric) = -1.138408164237594 absolute error = 3.175237850427948e-14 relative error = 2.789191039010626e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.961000000000015 y[1] (closed_form) = -1.140649562879693 y[1] (numeric) = -1.140649562879725 absolute error = 3.197442310920451e-14 relative error = 2.803176729273592e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.960000000000016 y[1] (closed_form) = -1.142891464021243 y[1] (numeric) = -1.142891464021275 absolute error = 3.219646771412954e-14 relative error = 2.817106324413943e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.959000000000016 y[1] (closed_form) = -1.145133867887574 y[1] (numeric) = -1.145133867887606 absolute error = 3.241851231905457e-14 relative error = 2.830980135000018e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.958000000000016 y[1] (closed_form) = -1.147376774704198 y[1] (numeric) = -1.147376774704231 absolute error = 3.26405569239796e-14 relative error = 2.844798469307919e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.957000000000016 y[1] (closed_form) = -1.149620184696782 y[1] (numeric) = -1.149620184696814 absolute error = 3.286260152890463e-14 relative error = 2.858561633342609e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.956000000000016 y[1] (closed_form) = -1.15186409809114 y[1] (numeric) = -1.151864098091173 absolute error = 3.286260152890463e-14 relative error = 2.852992951457058e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.955000000000016 y[1] (closed_form) = -1.154108515113242 y[1] (numeric) = -1.154108515113276 absolute error = 3.308464613382966e-14 relative error = 2.866684172292357e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.954000000000016 y[1] (closed_form) = -1.15635343598921 y[1] (numeric) = -1.156353435989243 absolute error = 3.33066907387547e-14 relative error = 2.880320990291544e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.953000000000016 y[1] (closed_form) = -1.158598860945315 y[1] (numeric) = -1.158598860945348 absolute error = 3.352873534367973e-14 relative error = 2.893903703333803e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.952000000000016 y[1] (closed_form) = -1.160844790207984 y[1] (numeric) = -1.160844790208018 absolute error = 3.375077994860476e-14 relative error = 2.907432607123797e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.951000000000016 y[1] (closed_form) = -1.163091224003795 y[1] (numeric) = -1.163091224003829 absolute error = 3.397282455352979e-14 relative error = 2.92090799521147e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.950000000000017 y[1] (closed_form) = -1.165338162559479 y[1] (numeric) = -1.165338162559513 absolute error = 3.419486915845482e-14 relative error = 2.934330159011635e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.949000000000017 y[1] (closed_form) = -1.16758560610192 y[1] (numeric) = -1.167585606101954 absolute error = 3.441691376337985e-14 relative error = 2.947699387823351e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.948000000000017 y[1] (closed_form) = -1.169833554858154 y[1] (numeric) = -1.169833554858189 absolute error = 3.463895836830488e-14 relative error = 2.961015968849086e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.947000000000017 y[1] (closed_form) = -1.172082009055373 y[1] (numeric) = -1.172082009055408 absolute error = 3.486100297322992e-14 relative error = 2.974280187213673e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.946000000000017 y[1] (closed_form) = -1.174330968920918 y[1] (numeric) = -1.174330968920953 absolute error = 3.508304757815495e-14 relative error = 2.98749232598306e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.945000000000017 y[1] (closed_form) = -1.176580434682287 y[1] (numeric) = -1.176580434682323 absolute error = 3.552713678800501e-14 relative error = 3.019524695529926e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.944000000000017 y[1] (closed_form) = -1.17883040656713 y[1] (numeric) = -1.178830406567166 absolute error = 3.574918139293004e-14 relative error = 3.032597496109314e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.943000000000017 y[1] (closed_form) = -1.181080884803251 y[1] (numeric) = -1.181080884803287 absolute error = 3.597122599785507e-14 relative error = 3.04561918329982e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.942000000000017 y[1] (closed_form) = -1.183331869618608 y[1] (numeric) = -1.183331869618645 absolute error = 3.61932706027801e-14 relative error = 3.058590031420797e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.941000000000018 y[1] (closed_form) = -1.185583361241313 y[1] (numeric) = -1.185583361241349 absolute error = 3.641531520770513e-14 relative error = 3.071510312828453e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.940000000000018 y[1] (closed_form) = -1.187835359899631 y[1] (numeric) = -1.187835359899668 absolute error = 3.663735981263017e-14 relative error = 3.084380297933371e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.939000000000018 y[1] (closed_form) = -1.190087865821983 y[1] (numeric) = -1.19008786582202 absolute error = 3.68594044175552e-14 relative error = 3.097200255217857e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.938000000000018 y[1] (closed_form) = -1.192340879236943 y[1] (numeric) = -1.19234087923698 absolute error = 3.708144902248023e-14 relative error = 3.109970451253092e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.937000000000018 y[1] (closed_form) = -1.19459440037324 y[1] (numeric) = -1.194594400373277 absolute error = 3.708144902248023e-14 relative error = 3.104103703390412e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.936000000000018 y[1] (closed_form) = -1.196848429459758 y[1] (numeric) = -1.196848429459795 absolute error = 3.730349362740526e-14 relative error = 3.116810174889362e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.935000000000018 y[1] (closed_form) = -1.199102966725536 y[1] (numeric) = -1.199102966725573 absolute error = 3.752553823233029e-14 relative error = 3.129467549797128e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.934000000000018 y[1] (closed_form) = -1.201358012399766 y[1] (numeric) = -1.201358012399804 absolute error = 3.796962744218035e-14 relative error = 3.160558888381186e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.933000000000018 y[1] (closed_form) = -1.203613566711798 y[1] (numeric) = -1.203613566711836 absolute error = 3.796962744218035e-14 relative error = 3.154636047008937e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.932000000000019 y[1] (closed_form) = -1.205869629891136 y[1] (numeric) = -1.205869629891174 absolute error = 3.819167204710538e-14 relative error = 3.167147683332341e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.931000000000019 y[1] (closed_form) = -1.208126202167438 y[1] (numeric) = -1.208126202167477 absolute error = 3.841371665203042e-14 relative error = 3.179611251135379e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.930000000000019 y[1] (closed_form) = -1.21038328377052 y[1] (numeric) = -1.210383283770558 absolute error = 3.885780586188048e-14 relative error = 3.210371985709583e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.929000000000019 y[1] (closed_form) = -1.212640874930351 y[1] (numeric) = -1.21264087493039 absolute error = 3.907985046680551e-14 relative error = 3.222706019129539e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.928000000000019 y[1] (closed_form) = -1.214898975877057 y[1] (numeric) = -1.214898975877096 absolute error = 3.930189507173054e-14 relative error = 3.234992855546512e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.927000000000019 y[1] (closed_form) = -1.217157586840922 y[1] (numeric) = -1.217157586840961 absolute error = 3.930189507173054e-14 relative error = 3.228989861020121e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.926000000000019 y[1] (closed_form) = -1.219416708052382 y[1] (numeric) = -1.219416708052422 absolute error = 3.97459842815806e-14 relative error = 3.259425922174034e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.925000000000019 y[1] (closed_form) = -1.221676339742032 y[1] (numeric) = -1.221676339742073 absolute error = 4.019007349143067e-14 relative error = 3.289748044061911e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.924000000000019 y[1] (closed_form) = -1.223936482140624 y[1] (numeric) = -1.223936482140664 absolute error = 4.04121180963557e-14 relative error = 3.301814978639762e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.92300000000002 y[1] (closed_form) = -1.226197135479063 y[1] (numeric) = -1.226197135479104 absolute error = 4.085620730620576e-14 relative error = 3.331944442215944e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.92200000000002 y[1] (closed_form) = -1.228458299988415 y[1] (numeric) = -1.228458299988456 absolute error = 4.085620730620576e-14 relative error = 3.3258114912481e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.92100000000002 y[1] (closed_form) = -1.230719975899898 y[1] (numeric) = -1.23071997589994 absolute error = 4.130029651605582e-14 relative error = 3.355783388975805e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.92000000000002 y[1] (closed_form) = -1.232982163444892 y[1] (numeric) = -1.232982163444934 absolute error = 4.152234112098085e-14 relative error = 3.36763518175879e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.91900000000002 y[1] (closed_form) = -1.23524486285493 y[1] (numeric) = -1.235244862854972 absolute error = 4.174438572590589e-14 relative error = 3.379442164157247e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.91800000000002 y[1] (closed_form) = -1.237508074361705 y[1] (numeric) = -1.237508074361747 absolute error = 4.196643033083092e-14 relative error = 3.391204566683479e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.91700000000002 y[1] (closed_form) = -1.239771798197065 y[1] (numeric) = -1.239771798197107 absolute error = 4.218847493575595e-14 relative error = 3.40292261826801e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.91600000000002 y[1] (closed_form) = -1.242036034593017 y[1] (numeric) = -1.242036034593059 absolute error = 4.241051954068098e-14 relative error = 3.414596546273137e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.91500000000002 y[1] (closed_form) = -1.244300783781725 y[1] (numeric) = -1.244300783781768 absolute error = 4.263256414560601e-14 relative error = 3.426226576506329e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.914000000000021 y[1] (closed_form) = -1.246566045995512 y[1] (numeric) = -1.246566045995555 absolute error = 4.285460875053104e-14 relative error = 3.43781293323349e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.913000000000021 y[1] (closed_form) = -1.248831821466856 y[1] (numeric) = -1.2488318214669 absolute error = 4.329869796038111e-14 relative error = 3.467136023930204e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.912000000000021 y[1] (closed_form) = -1.251098110428397 y[1] (numeric) = -1.251098110428441 absolute error = 4.374278717023117e-14 relative error = 3.496351469610397e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.911000000000021 y[1] (closed_form) = -1.253364913112931 y[1] (numeric) = -1.253364913112974 absolute error = 4.374278717023117e-14 relative error = 3.490028060669818e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.910000000000021 y[1] (closed_form) = -1.255632229753411 y[1] (numeric) = -1.255632229753455 absolute error = 4.418687638008123e-14 relative error = 3.519093834407145e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.909000000000021 y[1] (closed_form) = -1.257900060582951 y[1] (numeric) = -1.257900060582996 absolute error = 4.463096558993129e-14 relative error = 3.548053377885035e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.908000000000021 y[1] (closed_form) = -1.260168405834823 y[1] (numeric) = -1.260168405834868 absolute error = 4.485301019485632e-14 relative error = 3.55928699586327e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.907000000000021 y[1] (closed_form) = -1.262437265742457 y[1] (numeric) = -1.262437265742502 absolute error = 4.507505479978136e-14 relative error = 3.570478789159641e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.906000000000021 y[1] (closed_form) = -1.264706640539442 y[1] (numeric) = -1.264706640539487 absolute error = 4.507505479978136e-14 relative error = 3.564071963799862e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.905000000000022 y[1] (closed_form) = -1.266976530459528 y[1] (numeric) = -1.266976530459573 absolute error = 4.529709940470639e-14 relative error = 3.575212193415872e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.904000000000022 y[1] (closed_form) = -1.26924693573662 y[1] (numeric) = -1.269246935736666 absolute error = 4.574118861455645e-14 relative error = 3.603805321618531e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.903000000000022 y[1] (closed_form) = -1.271517856604787 y[1] (numeric) = -1.271517856604833 absolute error = 4.596323321948148e-14 relative error = 3.614831909809958e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.902000000000022 y[1] (closed_form) = -1.273789293298256 y[1] (numeric) = -1.273789293298302 absolute error = 4.596323321948148e-14 relative error = 3.608385897204999e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.901000000000022 y[1] (closed_form) = -1.276061246051411 y[1] (numeric) = -1.276061246051457 absolute error = 4.618527782440651e-14 relative error = 3.619362155799358e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.900000000000022 y[1] (closed_form) = -1.2783337150988 y[1] (numeric) = -1.278333715098846 absolute error = 4.640732242933154e-14 relative error = 3.630297932472572e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.899000000000022 y[1] (closed_form) = -1.280606700675127 y[1] (numeric) = -1.280606700675174 absolute error = 4.685141163918161e-14 relative error = 3.658532445166956e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.898000000000022 y[1] (closed_form) = -1.28288020301526 y[1] (numeric) = -1.282880203015306 absolute error = 4.685141163918161e-14 relative error = 3.652048845173762e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.897000000000022 y[1] (closed_form) = -1.285154222354223 y[1] (numeric) = -1.28515422235427 absolute error = 4.685141163918161e-14 relative error = 3.645586718250542e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.896000000000023 y[1] (closed_form) = -1.287428758927204 y[1] (numeric) = -1.287428758927251 absolute error = 4.729550084903167e-14 relative error = 3.673640232213108e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.895000000000023 y[1] (closed_form) = -1.28970381296955 y[1] (numeric) = -1.289703812969597 absolute error = 4.729550084903167e-14 relative error = 3.667159883797933e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.894000000000023 y[1] (closed_form) = -1.291979384716768 y[1] (numeric) = -1.291979384716816 absolute error = 4.773959005888173e-14 relative error = 3.69507366941055e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.893000000000023 y[1] (closed_form) = -1.294255474404528 y[1] (numeric) = -1.294255474404576 absolute error = 4.796163466380676e-14 relative error = 3.705731643582452e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.892000000000023 y[1] (closed_form) = -1.296532082268657 y[1] (numeric) = -1.296532082268706 absolute error = 4.818367926873179e-14 relative error = 3.71635071184822e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.891000000000023 y[1] (closed_form) = -1.298809208545148 y[1] (numeric) = -1.298809208545197 absolute error = 4.840572387365683e-14 relative error = 3.726931065408609e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.890000000000023 y[1] (closed_form) = -1.301086853470152 y[1] (numeric) = -1.301086853470201 absolute error = 4.884981308350689e-14 relative error = 3.754538980485328e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.889000000000023 y[1] (closed_form) = -1.303365017279982 y[1] (numeric) = -1.303365017280031 absolute error = 4.907185768843192e-14 relative error = 3.765012643260975e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.888000000000023 y[1] (closed_form) = -1.305643700211113 y[1] (numeric) = -1.305643700211163 absolute error = 4.951594689828198e-14 relative error = 3.792454778457217e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.887000000000024 y[1] (closed_form) = -1.307922902500182 y[1] (numeric) = -1.307922902500232 absolute error = 4.996003610813204e-14 relative error = 3.81979977662522e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.886000000000024 y[1] (closed_form) = -1.310202624383986 y[1] (numeric) = -1.310202624384036 absolute error = 5.018208071305708e-14 relative error = 3.830100762975576e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.885000000000024 y[1] (closed_form) = -1.312482866099487 y[1] (numeric) = -1.312482866099537 absolute error = 5.018208071305708e-14 relative error = 3.823446538558717e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.884000000000024 y[1] (closed_form) = -1.314763627883806 y[1] (numeric) = -1.314763627883857 absolute error = 5.040412531798211e-14 relative error = 3.833702442705285e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.883000000000024 y[1] (closed_form) = -1.317044909974229 y[1] (numeric) = -1.317044909974279 absolute error = 5.062616992290714e-14 relative error = 3.843921307428899e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.882000000000024 y[1] (closed_form) = -1.319326712608202 y[1] (numeric) = -1.319326712608253 absolute error = 5.084821452783217e-14 relative error = 3.85410331208328e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.881000000000024 y[1] (closed_form) = -1.321609036023335 y[1] (numeric) = -1.321609036023387 absolute error = 5.10702591327572e-14 relative error = 3.864248634862955e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.880000000000024 y[1] (closed_form) = -1.323891880457402 y[1] (numeric) = -1.323891880457453 absolute error = 5.129230373768223e-14 relative error = 3.874357452812601e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.879000000000024 y[1] (closed_form) = -1.326175246148336 y[1] (numeric) = -1.326175246148387 absolute error = 5.151434834260726e-14 relative error = 3.884429941836304e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.878000000000025 y[1] (closed_form) = -1.328459133334237 y[1] (numeric) = -1.328459133334288 absolute error = 5.151434834260726e-14 relative error = 3.877751829167212e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.877000000000025 y[1] (closed_form) = -1.330743542253366 y[1] (numeric) = -1.330743542253418 absolute error = 5.195843755245733e-14 relative error = 3.904466631074191e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.876000000000025 y[1] (closed_form) = -1.333028473144148 y[1] (numeric) = -1.333028473144199 absolute error = 5.195843755245733e-14 relative error = 3.897774023528962e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.875000000000025 y[1] (closed_form) = -1.335313926245171 y[1] (numeric) = -1.335313926245223 absolute error = 5.218048215738236e-14 relative error = 3.90773144290579e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.874000000000025 y[1] (closed_form) = -1.337599901795187 y[1] (numeric) = -1.337599901795239 absolute error = 5.262457136723242e-14 relative error = 3.934253531015158e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.873000000000025 y[1] (closed_form) = -1.339886400033112 y[1] (numeric) = -1.339886400033165 absolute error = 5.284661597215745e-14 relative error = 3.944111677740104e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.872000000000025 y[1] (closed_form) = -1.342173421198026 y[1] (numeric) = -1.342173421198079 absolute error = 5.351274978693255e-14 relative error = 3.987022015319525e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.871000000000025 y[1] (closed_form) = -1.344460965529172 y[1] (numeric) = -1.344460965529226 absolute error = 5.329070518200751e-14 relative error = 3.96372275196793e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.870000000000025 y[1] (closed_form) = -1.346749033265959 y[1] (numeric) = -1.346749033266013 absolute error = 5.373479439185758e-14 relative error = 3.989963464948403e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.869000000000026 y[1] (closed_form) = -1.349037624647958 y[1] (numeric) = -1.349037624648012 absolute error = 5.417888360170764e-14 relative error = 4.016113606605009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.868000000000026 y[1] (closed_form) = -1.351326739914907 y[1] (numeric) = -1.351326739914961 absolute error = 5.440092820663267e-14 relative error = 4.025742005968024e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.867000000000026 y[1] (closed_form) = -1.353616379306707 y[1] (numeric) = -1.353616379306761 absolute error = 5.440092820663267e-14 relative error = 4.018932471435936e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.866000000000026 y[1] (closed_form) = -1.355906543063424 y[1] (numeric) = -1.355906543063479 absolute error = 5.46229728115577e-14 relative error = 4.028520482550887e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.865000000000026 y[1] (closed_form) = -1.35819723142529 y[1] (numeric) = -1.358197231425345 absolute error = 5.506706202140776e-14 relative error = 4.054423079895435e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.864000000000026 y[1] (closed_form) = -1.360488444632701 y[1] (numeric) = -1.360488444632756 absolute error = 5.506706202140776e-14 relative error = 4.047594982423723e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.863000000000026 y[1] (closed_form) = -1.362780182926219 y[1] (numeric) = -1.362780182926275 absolute error = 5.52891066263328e-14 relative error = 4.057081789053733e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.862000000000026 y[1] (closed_form) = -1.365072446546571 y[1] (numeric) = -1.365072446546627 absolute error = 5.573319583618286e-14 relative error = 4.082801317774708e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.861000000000026 y[1] (closed_form) = -1.36736523573465 y[1] (numeric) = -1.367365235734706 absolute error = 5.595524044110789e-14 relative error = 4.092194168666616e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.860000000000027 y[1] (closed_form) = -1.369658550731514 y[1] (numeric) = -1.369658550731571 absolute error = 5.617728504603292e-14 relative error = 4.101553997967556e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.859000000000027 y[1] (closed_form) = -1.371952391778388 y[1] (numeric) = -1.371952391778445 absolute error = 5.639932965095795e-14 relative error = 4.110880959786843e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.858000000000027 y[1] (closed_form) = -1.374246759116662 y[1] (numeric) = -1.374246759116719 absolute error = 5.662137425588298e-14 relative error = 4.120175207273405e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.857000000000027 y[1] (closed_form) = -1.376541652987892 y[1] (numeric) = -1.376541652987949 absolute error = 5.684341886080801e-14 relative error = 4.129436892623255e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.856000000000027 y[1] (closed_form) = -1.378837073633802 y[1] (numeric) = -1.37883707363386 absolute error = 5.706546346573305e-14 relative error = 4.138666167086884e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.855000000000027 y[1] (closed_form) = -1.381133021296281 y[1] (numeric) = -1.381133021296339 absolute error = 5.728750807065808e-14 relative error = 4.147863180976594e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.854000000000027 y[1] (closed_form) = -1.383429496217385 y[1] (numeric) = -1.383429496217443 absolute error = 5.750955267558311e-14 relative error = 4.157028083673759e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.853000000000027 y[1] (closed_form) = -1.385726498639337 y[1] (numeric) = -1.385726498639395 absolute error = 5.795364188543317e-14 relative error = 4.18218471988077e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.852000000000027 y[1] (closed_form) = -1.388024028804527 y[1] (numeric) = -1.388024028804585 absolute error = 5.81756864903582e-14 relative error = 4.191259321386791e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.851000000000028 y[1] (closed_form) = -1.390322086955511 y[1] (numeric) = -1.390322086955569 absolute error = 5.81756864903582e-14 relative error = 4.18433160461039e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.850000000000028 y[1] (closed_form) = -1.392620673335014 y[1] (numeric) = -1.392620673335073 absolute error = 5.839773109528323e-14 relative error = 4.193369537982929e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.849000000000028 y[1] (closed_form) = -1.394919788185927 y[1] (numeric) = -1.394919788185986 absolute error = 5.88418203051333e-14 relative error = 4.218294184618043e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.848000000000028 y[1] (closed_form) = -1.397219431751311 y[1] (numeric) = -1.39721943175137 absolute error = 5.906386491005833e-14 relative error = 4.22724330680301e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.847000000000028 y[1] (closed_form) = -1.39951960427439 y[1] (numeric) = -1.39951960427445 absolute error = 5.950795411990839e-14 relative error = 4.252027191199048e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.846000000000028 y[1] (closed_form) = -1.401820305998561 y[1] (numeric) = -1.401820305998621 absolute error = 5.972999872483342e-14 relative error = 4.260888394128792e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.845000000000028 y[1] (closed_form) = -1.404121537167386 y[1] (numeric) = -1.404121537167446 absolute error = 5.995204332975845e-14 relative error = 4.26971894831149e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.844000000000028 y[1] (closed_form) = -1.406423298024597 y[1] (numeric) = -1.406423298024657 absolute error = 5.995204332975845e-14 relative error = 4.262731100513237e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.843000000000028 y[1] (closed_form) = -1.408725588814091 y[1] (numeric) = -1.408725588814152 absolute error = 6.039613253960852e-14 relative error = 4.287288668508665e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.842000000000029 y[1] (closed_form) = -1.411028409779938 y[1] (numeric) = -1.411028409779999 absolute error = 6.084022174945858e-14 relative error = 4.311764478147335e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.841000000000029 y[1] (closed_form) = -1.413331761166374 y[1] (numeric) = -1.413331761166435 absolute error = 6.084022174945858e-14 relative error = 4.304737459465939e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.840000000000029 y[1] (closed_form) = -1.415635643217803 y[1] (numeric) = -1.415635643217865 absolute error = 6.128431095930864e-14 relative error = 4.329102001134039e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.839000000000029 y[1] (closed_form) = -1.417940056178802 y[1] (numeric) = -1.417940056178863 absolute error = 6.128431095930864e-14 relative error = 4.322066415449421e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.838000000000029 y[1] (closed_form) = -1.420245000294112 y[1] (numeric) = -1.420245000294173 absolute error = 6.17284001691587e-14 relative error = 4.34632054021494e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.837000000000029 y[1] (closed_form) = -1.422550475808646 y[1] (numeric) = -1.422550475808708 absolute error = 6.17284001691587e-14 relative error = 4.339276617518216e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.836000000000029 y[1] (closed_form) = -1.424856482967487 y[1] (numeric) = -1.424856482967549 absolute error = 6.195044477408373e-14 relative error = 4.347837520103234e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.835000000000029 y[1] (closed_form) = -1.427163022015885 y[1] (numeric) = -1.427163022015948 absolute error = 6.261657858885883e-14 relative error = 4.387486056106761e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.834000000000029 y[1] (closed_form) = -1.429470093199264 y[1] (numeric) = -1.429470093199326 absolute error = 6.283862319378386e-14 relative error = 4.395938291590712e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.833000000000029 y[1] (closed_form) = -1.431777696763213 y[1] (numeric) = -1.431777696763276 absolute error = 6.283862319378386e-14 relative error = 4.38885333497244e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.83200000000003 y[1] (closed_form) = -1.434085832953495 y[1] (numeric) = -1.434085832953558 absolute error = 6.306066779870889e-14 relative error = 4.397272907217532e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.83100000000003 y[1] (closed_form) = -1.43639450201604 y[1] (numeric) = -1.436394502016103 absolute error = 6.350475700855895e-14 relative error = 4.421122255719259e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.83000000000003 y[1] (closed_form) = -1.438703704196951 y[1] (numeric) = -1.438703704197015 absolute error = 6.372680161348399e-14 relative error = 4.42945975794611e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.82900000000003 y[1] (closed_form) = -1.441013439742501 y[1] (numeric) = -1.441013439742564 absolute error = 6.394884621840902e-14 relative error = 4.437768896162152e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.82800000000003 y[1] (closed_form) = -1.443323708899131 y[1] (numeric) = -1.443323708899195 absolute error = 6.417089082333405e-14 relative error = 4.446049796568451e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.82700000000003 y[1] (closed_form) = -1.445634511913458 y[1] (numeric) = -1.445634511913522 absolute error = 6.417089082333405e-14 relative error = 4.438942920530912e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.82600000000003 y[1] (closed_form) = -1.447945849032265 y[1] (numeric) = -1.447945849032329 absolute error = 6.439293542825908e-14 relative error = 4.447192239357302e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.82500000000003 y[1] (closed_form) = -1.450257720502508 y[1] (numeric) = -1.450257720502573 absolute error = 6.483702463810914e-14 relative error = 4.470724321718721e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.82400000000003 y[1] (closed_form) = -1.452570126571316 y[1] (numeric) = -1.452570126571381 absolute error = 6.505906924303417e-14 relative error = 4.478893517974329e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.823000000000031 y[1] (closed_form) = -1.454883067485987 y[1] (numeric) = -1.454883067486052 absolute error = 6.52811138479592e-14 relative error = 4.487035096281921e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.822000000000031 y[1] (closed_form) = -1.457196543493992 y[1] (numeric) = -1.457196543494057 absolute error = 6.550315845288424e-14 relative error = 4.495149178423393e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.821000000000031 y[1] (closed_form) = -1.459510554842972 y[1] (numeric) = -1.459510554843038 absolute error = 6.59472476627343e-14 relative error = 4.518449520211213e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.820000000000031 y[1] (closed_form) = -1.461825101780744 y[1] (numeric) = -1.46182510178081 absolute error = 6.616929226765933e-14 relative error = 4.526484884344525e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.819000000000031 y[1] (closed_form) = -1.464140184555292 y[1] (numeric) = -1.464140184555359 absolute error = 6.639133687258436e-14 relative error = 4.53449318398085e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.818000000000031 y[1] (closed_form) = -1.466455803414777 y[1] (numeric) = -1.466455803414843 absolute error = 6.683542608243442e-14 relative error = 4.557616119544961e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.817000000000031 y[1] (closed_form) = -1.468771958607528 y[1] (numeric) = -1.468771958607595 absolute error = 6.705747068735946e-14 relative error = 4.565546768126852e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.816000000000031 y[1] (closed_form) = -1.47108865038205 y[1] (numeric) = -1.471088650382117 absolute error = 6.750155989720952e-14 relative error = 4.588544672659869e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.815000000000031 y[1] (closed_form) = -1.473405878987019 y[1] (numeric) = -1.473405878987087 absolute error = 6.750155989720952e-14 relative error = 4.581328258552727e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.814000000000032 y[1] (closed_form) = -1.475723644671285 y[1] (numeric) = -1.475723644671353 absolute error = 6.794564910705958e-14 relative error = 4.604225821847177e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.813000000000032 y[1] (closed_form) = -1.47804194768387 y[1] (numeric) = -1.478041947683939 absolute error = 6.816769371198461e-14 relative error = 4.612027000911925e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.812000000000032 y[1] (closed_form) = -1.480360788273971 y[1] (numeric) = -1.480360788274039 absolute error = 6.816769371198461e-14 relative error = 4.604802711065108e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.811000000000032 y[1] (closed_form) = -1.482680166690955 y[1] (numeric) = -1.482680166691024 absolute error = 6.861178292183467e-14 relative error = 4.627551137678089e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.810000000000032 y[1] (closed_form) = -1.485000083184366 y[1] (numeric) = -1.485000083184435 absolute error = 6.861178292183467e-14 relative error = 4.620321823464595e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.809000000000032 y[1] (closed_form) = -1.487320538003921 y[1] (numeric) = -1.48732053800399 absolute error = 6.905587213168474e-14 relative error = 4.642971731188634e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.808000000000032 y[1] (closed_form) = -1.489641531399509 y[1] (numeric) = -1.489641531399578 absolute error = 6.905587213168474e-14 relative error = 4.635737570152679e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.807000000000032 y[1] (closed_form) = -1.491963063621194 y[1] (numeric) = -1.491963063621264 absolute error = 6.927791673660977e-14 relative error = 4.643406959986192e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.806000000000032 y[1] (closed_form) = -1.494285134919217 y[1] (numeric) = -1.494285134919286 absolute error = 6.94999613415348e-14 relative error = 4.651050841464208e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.805000000000033 y[1] (closed_form) = -1.496607745543988 y[1] (numeric) = -1.496607745544058 absolute error = 6.972200594645983e-14 relative error = 4.65866932428024e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.804000000000033 y[1] (closed_form) = -1.498930895746096 y[1] (numeric) = -1.498930895746166 absolute error = 7.016609515630989e-14 relative error = 4.681076049298763e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.803000000000033 y[1] (closed_form) = -1.501254585776303 y[1] (numeric) = -1.501254585776373 absolute error = 7.038813976123492e-14 relative error = 4.688621132493462e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.802000000000033 y[1] (closed_form) = -1.503578815885545 y[1] (numeric) = -1.503578815885616 absolute error = 7.083222897108499e-14 relative error = 4.710908947554423e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.801000000000033 y[1] (closed_form) = -1.505903586324935 y[1] (numeric) = -1.505903586325006 absolute error = 7.105427357601002e-14 relative error = 4.718381324093502e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.800000000000033 y[1] (closed_form) = -1.50822889734576 y[1] (numeric) = -1.508228897345832 absolute error = 7.127631818093505e-14 relative error = 4.725828971077924e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.799000000000033 y[1] (closed_form) = -1.510554749199482 y[1] (numeric) = -1.510554749199554 absolute error = 7.172040739078511e-14 relative error = 4.747951534281912e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.798000000000033 y[1] (closed_form) = -1.51288114213774 y[1] (numeric) = -1.512881142137812 absolute error = 7.194245199571014e-14 relative error = 4.755327433988212e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.797000000000033 y[1] (closed_form) = -1.515208076412346 y[1] (numeric) = -1.515208076412419 absolute error = 7.216449660063518e-14 relative error = 4.762678982777309e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.796000000000034 y[1] (closed_form) = -1.517535552275291 y[1] (numeric) = -1.517535552275364 absolute error = 7.260858581048524e-14 relative error = 4.784638205122826e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.795000000000034 y[1] (closed_form) = -1.519863569978739 y[1] (numeric) = -1.519863569978812 absolute error = 7.283063041541027e-14 relative error = 4.791918949437617e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.794000000000034 y[1] (closed_form) = -1.522192129775033 y[1] (numeric) = -1.522192129775106 absolute error = 7.30526750203353e-14 relative error = 4.799175714509302e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.793000000000034 y[1] (closed_form) = -1.52452123191669 y[1] (numeric) = -1.524521231916764 absolute error = 7.327471962526033e-14 relative error = 4.806408601678598e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.792000000000034 y[1] (closed_form) = -1.526850876656405 y[1] (numeric) = -1.526850876656479 absolute error = 7.349676423018536e-14 relative error = 4.813617711713487e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.791000000000034 y[1] (closed_form) = -1.529181064247049 y[1] (numeric) = -1.529181064247122 absolute error = 7.349676423018536e-14 relative error = 4.806282653413206e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.790000000000034 y[1] (closed_form) = -1.531511794941669 y[1] (numeric) = -1.531511794941743 absolute error = 7.394085344003543e-14 relative error = 4.827965000612459e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.789000000000034 y[1] (closed_form) = -1.533843068993491 y[1] (numeric) = -1.533843068993565 absolute error = 7.438494264988549e-14 relative error = 4.849579735604697e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.788000000000034 y[1] (closed_form) = -1.536174886655916 y[1] (numeric) = -1.53617488665599 absolute error = 7.460698725481052e-14 relative error = 4.856672759259966e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.787000000000035 y[1] (closed_form) = -1.538507248182524 y[1] (numeric) = -1.538507248182599 absolute error = 7.482903185973555e-14 relative error = 4.863742562677746e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.786000000000035 y[1] (closed_form) = -1.540840153827071 y[1] (numeric) = -1.540840153827146 absolute error = 7.505107646466058e-14 relative error = 4.870789243014729e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.785000000000035 y[1] (closed_form) = -1.543173603843493 y[1] (numeric) = -1.543173603843568 absolute error = 7.505107646466058e-14 relative error = 4.863424068279501e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.784000000000035 y[1] (closed_form) = -1.5455075984859 y[1] (numeric) = -1.545507598485975 absolute error = 7.549516567451064e-14 relative error = 4.884813620358232e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.783000000000035 y[1] (closed_form) = -1.547842138008584 y[1] (numeric) = -1.54784213800866 absolute error = 7.571721027943568e-14 relative error = 4.891791508974656e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.782000000000035 y[1] (closed_form) = -1.550177222666012 y[1] (numeric) = -1.550177222666088 absolute error = 7.571721027943568e-14 relative error = 4.884422837100932e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.781000000000035 y[1] (closed_form) = -1.552512852712832 y[1] (numeric) = -1.552512852712908 absolute error = 7.616129948928574e-14 relative error = 4.90567916112275e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.780000000000035 y[1] (closed_form) = -1.554849028403868 y[1] (numeric) = -1.554849028403944 absolute error = 7.638334409421077e-14 relative error = 4.912589113080784e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.779000000000035 y[1] (closed_form) = -1.557185749994124 y[1] (numeric) = -1.557185749994201 absolute error = 7.66053886991358e-14 relative error = 4.91947660704093e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.778000000000036 y[1] (closed_form) = -1.559523017738783 y[1] (numeric) = -1.55952301773886 absolute error = 7.682743330406083e-14 relative error = 4.926341735914621e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.777000000000036 y[1] (closed_form) = -1.561860831893206 y[1] (numeric) = -1.561860831893283 absolute error = 7.704947790898586e-14 relative error = 4.933184592099062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.776000000000036 y[1] (closed_form) = -1.564199192712933 y[1] (numeric) = -1.564199192713011 absolute error = 7.749356711883593e-14 relative error = 4.95420068491608e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.775000000000036 y[1] (closed_form) = -1.566538100453685 y[1] (numeric) = -1.566538100453763 absolute error = 7.771561172376096e-14 relative error = 4.960978076514942e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.774000000000036 y[1] (closed_form) = -1.568877555371362 y[1] (numeric) = -1.56887755537144 absolute error = 7.771561172376096e-14 relative error = 4.953580440849971e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.773000000000036 y[1] (closed_form) = -1.571217557722041 y[1] (numeric) = -1.571217557722119 absolute error = 7.815970093361102e-14 relative error = 4.974467128977818e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.772000000000036 y[1] (closed_form) = -1.573558107761983 y[1] (numeric) = -1.573558107762061 absolute error = 7.838174553853605e-14 relative error = 4.981178969616552e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.771000000000036 y[1] (closed_form) = -1.575899205747625 y[1] (numeric) = -1.575899205747704 absolute error = 7.860379014346108e-14 relative error = 4.98786913888763e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.770000000000036 y[1] (closed_form) = -1.578240851935587 y[1] (numeric) = -1.578240851935667 absolute error = 7.904787935331115e-14 relative error = 5.008606845803362e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.769000000000037 y[1] (closed_form) = -1.580583046582669 y[1] (numeric) = -1.580583046582748 absolute error = 7.926992395823618e-14 relative error = 5.015233089436413e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.768000000000037 y[1] (closed_form) = -1.58292578994585 y[1] (numeric) = -1.582925789945929 absolute error = 7.949196856316121e-14 relative error = 5.021837983060505e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.767000000000037 y[1] (closed_form) = -1.58526908228229 y[1] (numeric) = -1.585269082282369 absolute error = 7.949196856316121e-14 relative error = 5.014414868213902e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.766000000000037 y[1] (closed_form) = -1.58761292384933 y[1] (numeric) = -1.58761292384941 absolute error = 8.01581023779363e-14 relative error = 5.048970134583232e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.765000000000037 y[1] (closed_form) = -1.589957314904494 y[1] (numeric) = -1.589957314904574 absolute error = 8.038014698286133e-14 relative error = 5.05549087572138e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.764000000000037 y[1] (closed_form) = -1.592302255705484 y[1] (numeric) = -1.592302255705564 absolute error = 8.060219158778636e-14 relative error = 5.061990667850612e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.763000000000037 y[1] (closed_form) = -1.594647746510185 y[1] (numeric) = -1.594647746510266 absolute error = 8.08242361927114e-14 relative error = 5.068469595845956e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.762000000000037 y[1] (closed_form) = -1.596993787576663 y[1] (numeric) = -1.596993787576744 absolute error = 8.104628079763643e-14 relative error = 5.074927744122225e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.761000000000037 y[1] (closed_form) = -1.599340379163167 y[1] (numeric) = -1.599340379163249 absolute error = 8.126832540256146e-14 relative error = 5.081365196637128e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.760000000000038 y[1] (closed_form) = -1.601687521528126 y[1] (numeric) = -1.601687521528208 absolute error = 8.171241461241152e-14 relative error = 5.101645203207424e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.759000000000038 y[1] (closed_form) = -1.604035214930152 y[1] (numeric) = -1.604035214930234 absolute error = 8.193445921733655e-14 relative error = 5.10802122389217e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.758000000000038 y[1] (closed_form) = -1.606383459628039 y[1] (numeric) = -1.606383459628121 absolute error = 8.215650382226158e-14 relative error = 5.114376852540867e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.757000000000038 y[1] (closed_form) = -1.608732255880763 y[1] (numeric) = -1.608732255880845 absolute error = 8.237854842718662e-14 relative error = 5.120712171093088e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.756000000000038 y[1] (closed_form) = -1.611081603947483 y[1] (numeric) = -1.611081603947565 absolute error = 8.260059303211165e-14 relative error = 5.127027261047679e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.755000000000038 y[1] (closed_form) = -1.613431504087541 y[1] (numeric) = -1.613431504087623 absolute error = 8.260059303211165e-14 relative error = 5.119559945547582e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.754000000000038 y[1] (closed_form) = -1.615781956560461 y[1] (numeric) = -1.615781956560544 absolute error = 8.304468224196171e-14 relative error = 5.139597078973463e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.753000000000038 y[1] (closed_form) = -1.61813296162595 y[1] (numeric) = -1.618132961626033 absolute error = 8.326672684688674e-14 relative error = 5.145851967765231e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.752000000000038 y[1] (closed_form) = -1.620484519543899 y[1] (numeric) = -1.620484519543983 absolute error = 8.37108160567368e-14 relative error = 5.165789308514839e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.751000000000039 y[1] (closed_form) = -1.622836630574384 y[1] (numeric) = -1.622836630574467 absolute error = 8.37108160567368e-14 relative error = 5.158302103835823e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.750000000000039 y[1] (closed_form) = -1.625189294977659 y[1] (numeric) = -1.625189294977743 absolute error = 8.415490526658687e-14 relative error = 5.178160201193283e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.749000000000039 y[1] (closed_form) = -1.627542513014169 y[1] (numeric) = -1.627542513014253 absolute error = 8.415490526658687e-14 relative error = 5.17067324470278e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.748000000000039 y[1] (closed_form) = -1.629896284944536 y[1] (numeric) = -1.629896284944621 absolute error = 8.459899447643693e-14 relative error = 5.190452623144408e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.747000000000039 y[1] (closed_form) = -1.632250611029572 y[1] (numeric) = -1.632250611029657 absolute error = 8.482103908136196e-14 relative error = 5.196569602008575e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.746000000000039 y[1] (closed_form) = -1.634605491530269 y[1] (numeric) = -1.634605491530354 absolute error = 8.482103908136196e-14 relative error = 5.189083208203039e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.745000000000039 y[1] (closed_form) = -1.636960926707806 y[1] (numeric) = -1.636960926707892 absolute error = 8.526512829121202e-14 relative error = 5.208745480730198e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.744000000000039 y[1] (closed_form) = -1.639316916823545 y[1] (numeric) = -1.639316916823631 absolute error = 8.548717289613705e-14 relative error = 5.214804533450613e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.743000000000039 y[1] (closed_form) = -1.641673462139034 y[1] (numeric) = -1.64167346213912 absolute error = 8.593126210598712e-14 relative error = 5.234369933349728e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.74200000000004 y[1] (closed_form) = -1.644030562916005 y[1] (numeric) = -1.644030562916091 absolute error = 8.615330671091215e-14 relative error = 5.240371356485167e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.74100000000004 y[1] (closed_form) = -1.646388219416375 y[1] (numeric) = -1.646388219416461 absolute error = 8.637535131583718e-14 relative error = 5.246353824522398e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.74000000000004 y[1] (closed_form) = -1.648746431902247 y[1] (numeric) = -1.648746431902334 absolute error = 8.681944052568724e-14 relative error = 5.265784892436067e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.73900000000004 y[1] (closed_form) = -1.65110520063591 y[1] (numeric) = -1.651105200635997 absolute error = 8.704148513061227e-14 relative error = 5.271710433538029e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.73800000000004 y[1] (closed_form) = -1.653464525879837 y[1] (numeric) = -1.653464525879925 absolute error = 8.72635297355373e-14 relative error = 5.277617292037327e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.73700000000004 y[1] (closed_form) = -1.655824407896689 y[1] (numeric) = -1.655824407896776 absolute error = 8.748557434046234e-14 relative error = 5.283505541000625e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.73600000000004 y[1] (closed_form) = -1.65818484694931 y[1] (numeric) = -1.658184846949397 absolute error = 8.770761894538737e-14 relative error = 5.289375253111849e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.73500000000004 y[1] (closed_form) = -1.660545843300733 y[1] (numeric) = -1.66054584330082 absolute error = 8.79296635503124e-14 relative error = 5.29522650067469e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.73400000000004 y[1] (closed_form) = -1.662907397214175 y[1] (numeric) = -1.662907397214263 absolute error = 8.815170815523743e-14 relative error = 5.301059355615091e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.733000000000041 y[1] (closed_form) = -1.665269508953042 y[1] (numeric) = -1.665269508953131 absolute error = 8.859579736508749e-14 relative error = 5.320207743477379e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.732000000000041 y[1] (closed_form) = -1.667632178780926 y[1] (numeric) = -1.667632178781015 absolute error = 8.859579736508749e-14 relative error = 5.312670173458326e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.731000000000041 y[1] (closed_form) = -1.669995406961604 y[1] (numeric) = -1.669995406961693 absolute error = 8.881784197001252e-14 relative error = 5.318448278346347e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.730000000000041 y[1] (closed_form) = -1.672359193759042 y[1] (numeric) = -1.672359193759131 absolute error = 8.903988657493755e-14 relative error = 5.32420827458713e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.729000000000041 y[1] (closed_form) = -1.674723539437393 y[1] (numeric) = -1.674723539437482 absolute error = 8.926193117986259e-14 relative error = 5.32995023225441e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.728000000000041 y[1] (closed_form) = -1.677088444260996 y[1] (numeric) = -1.677088444261085 absolute error = 8.948397578478762e-14 relative error = 5.335674221058656e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.727000000000041 y[1] (closed_form) = -1.679453908494379 y[1] (numeric) = -1.679453908494469 absolute error = 8.970602038971265e-14 relative error = 5.341380310349428e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.726000000000041 y[1] (closed_form) = -1.681819932402258 y[1] (numeric) = -1.681819932402348 absolute error = 8.992806499463768e-14 relative error = 5.347068569117701e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.725000000000041 y[1] (closed_form) = -1.684186516249535 y[1] (numeric) = -1.684186516249625 absolute error = 9.037215420448774e-14 relative error = 5.365923152367637e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.724000000000041 y[1] (closed_form) = -1.686553660301303 y[1] (numeric) = -1.686553660301394 absolute error = 9.037215420448774e-14 relative error = 5.358391869271609e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.723000000000042 y[1] (closed_form) = -1.688921364822841 y[1] (numeric) = -1.688921364822932 absolute error = 9.081624341433781e-14 relative error = 5.377174171981888e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.722000000000042 y[1] (closed_form) = -1.691289630079617 y[1] (numeric) = -1.691289630079708 absolute error = 9.081624341433781e-14 relative error = 5.369644666364012e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.721000000000042 y[1] (closed_form) = -1.693658456337289 y[1] (numeric) = -1.69365845633738 absolute error = 9.14823772291129e-14 relative error = 5.401465501312053e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.720000000000042 y[1] (closed_form) = -1.696027843861701 y[1] (numeric) = -1.696027843861793 absolute error = 9.170442183403793e-14 relative error = 5.40701157507151e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.719000000000042 y[1] (closed_form) = -1.698397792918889 y[1] (numeric) = -1.698397792918981 absolute error = 9.192646643896296e-14 relative error = 5.412540384957574e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.718000000000042 y[1] (closed_form) = -1.700768303775076 y[1] (numeric) = -1.700768303775168 absolute error = 9.214851104388799e-14 relative error = 5.418051996815345e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.717000000000042 y[1] (closed_form) = -1.703139376696676 y[1] (numeric) = -1.703139376696769 absolute error = 9.237055564881302e-14 relative error = 5.423546476153367e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.716000000000042 y[1] (closed_form) = -1.705511011950292 y[1] (numeric) = -1.705511011950385 absolute error = 9.259260025373806e-14 relative error = 5.429023888145772e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.715000000000042 y[1] (closed_form) = -1.707883209802716 y[1] (numeric) = -1.707883209802809 absolute error = 9.303668946358812e-14 relative error = 5.447485456241187e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.714000000000043 y[1] (closed_form) = -1.710255970520931 y[1] (numeric) = -1.710255970521024 absolute error = 9.325873406851315e-14 relative error = 5.452910890298326e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.713000000000043 y[1] (closed_form) = -1.712629294372109 y[1] (numeric) = -1.712629294372202 absolute error = 9.348077867343818e-14 relative error = 5.458319496263813e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.712000000000043 y[1] (closed_form) = -1.715003181623612 y[1] (numeric) = -1.715003181623706 absolute error = 9.370282327836321e-14 relative error = 5.463711337821177e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.711000000000043 y[1] (closed_form) = -1.717377632542996 y[1] (numeric) = -1.71737763254309 absolute error = 9.392486788328824e-14 relative error = 5.469086478330896e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.710000000000043 y[1] (closed_form) = -1.719752647398002 y[1] (numeric) = -1.719752647398096 absolute error = 9.436895709313831e-14 relative error = 5.487356407674046e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.709000000000043 y[1] (closed_form) = -1.722128226456566 y[1] (numeric) = -1.722128226456661 absolute error = 9.459100169806334e-14 relative error = 5.492680524300611e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.708000000000043 y[1] (closed_form) = -1.724504369986815 y[1] (numeric) = -1.72450436998691 absolute error = 9.50350909079134e-14 relative error = 5.51086402342025e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.707000000000043 y[1] (closed_form) = -1.726881078257063 y[1] (numeric) = -1.726881078257159 absolute error = 9.525713551283843e-14 relative error = 5.516137544861005e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.706000000000043 y[1] (closed_form) = -1.729258351535821 y[1] (numeric) = -1.729258351535917 absolute error = 9.570122472268849e-14 relative error = 5.534235219259895e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.705000000000044 y[1] (closed_form) = -1.731636190091787 y[1] (numeric) = -1.731636190091883 absolute error = 9.570122472268849e-14 relative error = 5.526635748910731e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.704000000000044 y[1] (closed_form) = -1.734014594193854 y[1] (numeric) = -1.73401459419395 absolute error = 9.614531393253856e-14 relative error = 5.544665786232132e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.703000000000044 y[1] (closed_form) = -1.736393564111104 y[1] (numeric) = -1.7363935641112 absolute error = 9.636735853746359e-14 relative error = 5.549856929284119e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.702000000000044 y[1] (closed_form) = -1.738773100112813 y[1] (numeric) = -1.73877310011291 absolute error = 9.658940314238862e-14 relative error = 5.55503205887656e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.701000000000044 y[1] (closed_form) = -1.74115320246845 y[1] (numeric) = -1.741153202468547 absolute error = 9.703349235223868e-14 relative error = 5.572943966945204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.700000000000044 y[1] (closed_form) = -1.743533871447673 y[1] (numeric) = -1.743533871447771 absolute error = 9.725553695716371e-14 relative error = 5.578069835627081e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.699000000000044 y[1] (closed_form) = -1.745915107320337 y[1] (numeric) = -1.745915107320435 absolute error = 9.747758156208874e-14 relative error = 5.583179912550224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.698000000000044 y[1] (closed_form) = -1.748296910356486 y[1] (numeric) = -1.748296910356584 absolute error = 9.792167077193881e-14 relative error = 5.600974879717204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.697000000000044 y[1] (closed_form) = -1.750679280826361 y[1] (numeric) = -1.750679280826459 absolute error = 9.792167077193881e-14 relative error = 5.593352925597973e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.696000000000045 y[1] (closed_form) = -1.753062219000391 y[1] (numeric) = -1.753062219000489 absolute error = 9.836575998178887e-14 relative error = 5.611082077730119e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.695000000000045 y[1] (closed_form) = -1.755445725149203 y[1] (numeric) = -1.755445725149302 absolute error = 9.85878045867139e-14 relative error = 5.616112373872139e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.694000000000045 y[1] (closed_form) = -1.757829799543616 y[1] (numeric) = -1.757829799543715 absolute error = 9.903189379656396e-14 relative error = 5.633758957907958e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.693000000000045 y[1] (closed_form) = -1.760214442454642 y[1] (numeric) = -1.760214442454741 absolute error = 9.903189379656396e-14 relative error = 5.626126647300014e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.692000000000045 y[1] (closed_form) = -1.762599654153487 y[1] (numeric) = -1.762599654153586 absolute error = 9.947598300641403e-14 relative error = 5.643708301655645e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.691000000000045 y[1] (closed_form) = -1.764985434911553 y[1] (numeric) = -1.764985434911652 absolute error = 9.969802761133906e-14 relative error = 5.648660076128908e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.690000000000045 y[1] (closed_form) = -1.767371785000433 y[1] (numeric) = -1.767371785000533 absolute error = 1.001421168211891e-13 relative error = 5.666160208683233e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.689000000000045 y[1] (closed_form) = -1.769758704691918 y[1] (numeric) = -1.769758704692019 absolute error = 1.003641614261142e-13 relative error = 5.67106471407839e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.688000000000045 y[1] (closed_form) = -1.772146194257992 y[1] (numeric) = -1.772146194258093 absolute error = 1.008082506359642e-13 relative error = 5.688483882571168e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.687000000000046 y[1] (closed_form) = -1.774534253970833 y[1] (numeric) = -1.774534253970934 absolute error = 1.010302952408892e-13 relative error = 5.693341507204843e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.686000000000046 y[1] (closed_form) = -1.776922884102816 y[1] (numeric) = -1.776922884102917 absolute error = 1.010302952408892e-13 relative error = 5.685688227933444e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.685000000000046 y[1] (closed_form) = -1.779312084926509 y[1] (numeric) = -1.77931208492661 absolute error = 1.014743844507393e-13 relative error = 5.703012153426166e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.684000000000046 y[1] (closed_form) = -1.781701856714677 y[1] (numeric) = -1.781701856714779 absolute error = 1.019184736605894e-13 relative error = 5.720287784204215e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.683000000000046 y[1] (closed_form) = -1.784092199740281 y[1] (numeric) = -1.784092199740383 absolute error = 1.019184736605894e-13 relative error = 5.712623690380246e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.682000000000046 y[1] (closed_form) = -1.786483114276476 y[1] (numeric) = -1.786483114276578 absolute error = 1.023625628704394e-13 relative error = 5.729836574016327e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.681000000000046 y[1] (closed_form) = -1.788874600596615 y[1] (numeric) = -1.788874600596717 absolute error = 1.023625628704394e-13 relative error = 5.722176548110196e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.680000000000046 y[1] (closed_form) = -1.791266658974245 y[1] (numeric) = -1.791266658974347 absolute error = 1.028066520802895e-13 relative error = 5.739327060280403e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.679000000000046 y[1] (closed_form) = -1.79365928968311 y[1] (numeric) = -1.793659289683213 absolute error = 1.030286966852145e-13 relative error = 5.744050571801561e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.678000000000047 y[1] (closed_form) = -1.796052492997153 y[1] (numeric) = -1.796052492997256 absolute error = 1.032507412901396e-13 relative error = 5.748759665584185e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.677000000000047 y[1] (closed_form) = -1.79844626919051 y[1] (numeric) = -1.798446269190614 absolute error = 1.039168751049147e-13 relative error = 5.778147331123112e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.676000000000047 y[1] (closed_form) = -1.800840618537517 y[1] (numeric) = -1.800840618537621 absolute error = 1.041389197098397e-13 relative error = 5.782794914655584e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.675000000000047 y[1] (closed_form) = -1.803235541312704 y[1] (numeric) = -1.803235541312809 absolute error = 1.043609643147647e-13 relative error = 5.787428315592809e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.674000000000047 y[1] (closed_form) = -1.805631037790802 y[1] (numeric) = -1.805631037790907 absolute error = 1.043609643147647e-13 relative error = 5.779750244127993e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.673000000000047 y[1] (closed_form) = -1.808027108246737 y[1] (numeric) = -1.808027108246841 absolute error = 1.045830089196897e-13 relative error = 5.784371729973951e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.672000000000047 y[1] (closed_form) = -1.810423752955631 y[1] (numeric) = -1.810423752955736 absolute error = 1.050270981295398e-13 relative error = 5.801243932978477e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.671000000000047 y[1] (closed_form) = -1.812820972192809 y[1] (numeric) = -1.812820972192914 absolute error = 1.052491427344648e-13 relative error = 5.805821112448531e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.670000000000047 y[1] (closed_form) = -1.81521876623379 y[1] (numeric) = -1.815218766233896 absolute error = 1.054711873393899e-13 relative error = 5.810384362553784e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.669000000000048 y[1] (closed_form) = -1.817617135354292 y[1] (numeric) = -1.817617135354398 absolute error = 1.054711873393899e-13 relative error = 5.802717485870933e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.668000000000048 y[1] (closed_form) = -1.820016079830233 y[1] (numeric) = -1.820016079830338 absolute error = 1.059152765492399e-13 relative error = 5.819469274091221e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.667000000000048 y[1] (closed_form) = -1.822415599937726 y[1] (numeric) = -1.822415599937832 absolute error = 1.06137321154165e-13 relative error = 5.823991034635118e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.666000000000048 y[1] (closed_form) = -1.824815695953087 y[1] (numeric) = -1.824815695953194 absolute error = 1.06581410364015e-13 relative error = 5.840667120541638e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.665000000000048 y[1] (closed_form) = -1.82721636815283 y[1] (numeric) = -1.827216368152936 absolute error = 1.06581410364015e-13 relative error = 5.832993411270738e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.664000000000048 y[1] (closed_form) = -1.829617616813665 y[1] (numeric) = -1.829617616813772 absolute error = 1.070254995738651e-13 relative error = 5.849610245896806e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.663000000000048 y[1] (closed_form) = -1.832019442212505 y[1] (numeric) = -1.832019442212612 absolute error = 1.072475441787901e-13 relative error = 5.854061463958522e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.662000000000048 y[1] (closed_form) = -1.834421844626462 y[1] (numeric) = -1.834421844626569 absolute error = 1.076916333886402e-13 relative error = 5.870603520346169e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.661000000000048 y[1] (closed_form) = -1.836824824332846 y[1] (numeric) = -1.836824824332954 absolute error = 1.079136779935652e-13 relative error = 5.875011953454004e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.660000000000049 y[1] (closed_form) = -1.839228381609169 y[1] (numeric) = -1.839228381609277 absolute error = 1.079136779935652e-13 relative error = 5.867334316532778e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.659000000000049 y[1] (closed_form) = -1.841632516733142 y[1] (numeric) = -1.84163251673325 absolute error = 1.083577672034153e-13 relative error = 5.883788769956687e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.658000000000049 y[1] (closed_form) = -1.844037229982676 y[1] (numeric) = -1.844037229982784 absolute error = 1.085798118083403e-13 relative error = 5.88815724774496e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.657000000000049 y[1] (closed_form) = -1.846442521635884 y[1] (numeric) = -1.846442521635992 absolute error = 1.085798118083403e-13 relative error = 5.880486965396702e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.656000000000049 y[1] (closed_form) = -1.848848391971077 y[1] (numeric) = -1.848848391971186 absolute error = 1.090239010181904e-13 relative error = 5.896854576699975e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.655000000000049 y[1] (closed_form) = -1.851254841266772 y[1] (numeric) = -1.851254841266881 absolute error = 1.092459456231154e-13 relative error = 5.901183520922538e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.654000000000049 y[1] (closed_form) = -1.853661869801681 y[1] (numeric) = -1.85366186980179 absolute error = 1.094679902280404e-13 relative error = 5.905499379978733e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.653000000000049 y[1] (closed_form) = -1.856069477854721 y[1] (numeric) = -1.856069477854831 absolute error = 1.094679902280404e-13 relative error = 5.897839037500122e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.652000000000049 y[1] (closed_form) = -1.858477665705011 y[1] (numeric) = -1.858477665705121 absolute error = 1.099120794378905e-13 relative error = 5.914092026292688e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.65100000000005 y[1] (closed_form) = -1.860886433631868 y[1] (numeric) = -1.860886433631979 absolute error = 1.101341240428155e-13 relative error = 5.918368904859399e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.65000000000005 y[1] (closed_form) = -1.863295781914816 y[1] (numeric) = -1.863295781914926 absolute error = 1.105782132526656e-13 relative error = 5.934549647240113e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.64900000000005 y[1] (closed_form) = -1.865705710833576 y[1] (numeric) = -1.865705710833687 absolute error = 1.105782132526656e-13 relative error = 5.926883999473877e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.64800000000005 y[1] (closed_form) = -1.868116220668076 y[1] (numeric) = -1.868116220668187 absolute error = 1.108002578575906e-13 relative error = 5.931122305547255e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.64700000000005 y[1] (closed_form) = -1.870527311698442 y[1] (numeric) = -1.870527311698553 absolute error = 1.110223024625157e-13 relative error = 5.935347843796369e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.64600000000005 y[1] (closed_form) = -1.872938984205006 y[1] (numeric) = -1.872938984205117 absolute error = 1.112443470674407e-13 relative error = 5.939560658707729e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.64500000000005 y[1] (closed_form) = -1.875351238468301 y[1] (numeric) = -1.875351238468412 absolute error = 1.114663916723657e-13 relative error = 5.943760794559543e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.64400000000005 y[1] (closed_form) = -1.877764074769064 y[1] (numeric) = -1.877764074769176 absolute error = 1.119104808822158e-13 relative error = 5.959773242332322e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.64300000000005 y[1] (closed_form) = -1.880177493388236 y[1] (numeric) = -1.880177493388348 absolute error = 1.121325254871408e-13 relative error = 5.96393297342735e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.642000000000051 y[1] (closed_form) = -1.882591494606959 y[1] (numeric) = -1.882591494607071 absolute error = 1.123545700920658e-13 relative error = 5.96808019232674e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.641000000000051 y[1] (closed_form) = -1.885006078706581 y[1] (numeric) = -1.885006078706693 absolute error = 1.125766146969909e-13 relative error = 5.972214942364359e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.640000000000051 y[1] (closed_form) = -1.887421245968652 y[1] (numeric) = -1.887421245968765 absolute error = 1.127986593019159e-13 relative error = 5.976337266672337e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.639000000000051 y[1] (closed_form) = -1.889836996674928 y[1] (numeric) = -1.889836996675041 absolute error = 1.130207039068409e-13 relative error = 5.980447208182245e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.638000000000051 y[1] (closed_form) = -1.892253331107369 y[1] (numeric) = -1.892253331107482 absolute error = 1.13242748511766e-13 relative error = 5.984544809626256e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.637000000000051 y[1] (closed_form) = -1.894670249548137 y[1] (numeric) = -1.89467024954825 absolute error = 1.13464793116691e-13 relative error = 5.9886301135383e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.636000000000051 y[1] (closed_form) = -1.897087752279601 y[1] (numeric) = -1.897087752279715 absolute error = 1.139088823265411e-13 relative error = 6.004407660618995e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.635000000000051 y[1] (closed_form) = -1.899505839584334 y[1] (numeric) = -1.899505839584448 absolute error = 1.139088823265411e-13 relative error = 5.996763997917876e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.634000000000051 y[1] (closed_form) = -1.901924511745115 y[1] (numeric) = -1.901924511745229 absolute error = 1.141309269314661e-13 relative error = 6.000812662472339e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.633000000000052 y[1] (closed_form) = -1.904343769044927 y[1] (numeric) = -1.904343769045042 absolute error = 1.143529715363911e-13 relative error = 6.004849197670955e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.632000000000052 y[1] (closed_form) = -1.906763611766959 y[1] (numeric) = -1.906763611767073 absolute error = 1.147970607462412e-13 relative error = 6.02051874903681e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.631000000000052 y[1] (closed_form) = -1.909184040194605 y[1] (numeric) = -1.90918404019472 absolute error = 1.150191053511662e-13 relative error = 6.024516386562828e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.630000000000052 y[1] (closed_form) = -1.911605054611465 y[1] (numeric) = -1.911605054611581 absolute error = 1.154631945610163e-13 relative error = 6.040117663555992e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.629000000000052 y[1] (closed_form) = -1.914026655301347 y[1] (numeric) = -1.914026655301463 absolute error = 1.156852391659413e-13 relative error = 6.044076703191349e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.628000000000052 y[1] (closed_form) = -1.916448842548263 y[1] (numeric) = -1.916448842548379 absolute error = 1.159072837708663e-13 relative error = 6.048023886551901e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.627000000000052 y[1] (closed_form) = -1.918871616636431 y[1] (numeric) = -1.918871616636547 absolute error = 1.161293283757914e-13 relative error = 6.051959254019986e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.626000000000052 y[1] (closed_form) = -1.921294977850277 y[1] (numeric) = -1.921294977850394 absolute error = 1.165734175856414e-13 relative error = 6.067439874124616e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.625000000000052 y[1] (closed_form) = -1.923718926474435 y[1] (numeric) = -1.923718926474552 absolute error = 1.167954621905665e-13 relative error = 6.071337167983029e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.624000000000053 y[1] (closed_form) = -1.926143462793743 y[1] (numeric) = -1.92614346279386 absolute error = 1.170175067954915e-13 relative error = 6.075222799124496e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.623000000000053 y[1] (closed_form) = -1.928568587093248 y[1] (numeric) = -1.928568587093365 absolute error = 1.172395514004165e-13 relative error = 6.079096807084306e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.622000000000053 y[1] (closed_form) = -1.930994299658204 y[1] (numeric) = -1.930994299658322 absolute error = 1.174615960053416e-13 relative error = 6.082959231217454e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.621000000000053 y[1] (closed_form) = -1.933420600774074 y[1] (numeric) = -1.933420600774191 absolute error = 1.176836406102666e-13 relative error = 6.086810110699668e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.620000000000053 y[1] (closed_form) = -1.935847490726526 y[1] (numeric) = -1.935847490726644 absolute error = 1.181277298201167e-13 relative error = 6.102119634216803e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.619000000000053 y[1] (closed_form) = -1.938274969801439 y[1] (numeric) = -1.938274969801557 absolute error = 1.183497744250417e-13 relative error = 6.105933176094498e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.618000000000053 y[1] (closed_form) = -1.940703038284899 y[1] (numeric) = -1.940703038285017 absolute error = 1.185718190299667e-13 relative error = 6.109735322244606e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.617000000000053 y[1] (closed_form) = -1.943131696463199 y[1] (numeric) = -1.943131696463318 absolute error = 1.190159082398168e-13 relative error = 6.124953262634962e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.616000000000053 y[1] (closed_form) = -1.945560944622843 y[1] (numeric) = -1.945560944622962 absolute error = 1.190159082398168e-13 relative error = 6.117305580622076e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.615000000000054 y[1] (closed_form) = -1.947990783050544 y[1] (numeric) = -1.947990783050663 absolute error = 1.192379528447418e-13 relative error = 6.121073769046062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.614000000000054 y[1] (closed_form) = -1.95042121203322 y[1] (numeric) = -1.95042121203334 absolute error = 1.199040866595169e-13 relative error = 6.14759960155082e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.613000000000054 y[1] (closed_form) = -1.952852231858004 y[1] (numeric) = -1.952852231858124 absolute error = 1.199040866595169e-13 relative error = 6.139946725279693e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.612000000000054 y[1] (closed_form) = -1.955283842812234 y[1] (numeric) = -1.955283842812354 absolute error = 1.201261312644419e-13 relative error = 6.14366715635862e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.611000000000054 y[1] (closed_form) = -1.95771604518346 y[1] (numeric) = -1.95771604518358 absolute error = 1.20570220474292e-13 relative error = 6.158718511345358e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.610000000000054 y[1] (closed_form) = -1.960148839259441 y[1] (numeric) = -1.960148839259562 absolute error = 1.20570220474292e-13 relative error = 6.151074758172157e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.609000000000054 y[1] (closed_form) = -1.962582225328146 y[1] (numeric) = -1.962582225328267 absolute error = 1.20792265079217e-13 relative error = 6.154762002851647e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.608000000000054 y[1] (closed_form) = -1.965016203677755 y[1] (numeric) = -1.965016203677876 absolute error = 1.214583988939921e-13 relative error = 6.181038032494018e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.607000000000054 y[1] (closed_form) = -1.967450774596657 y[1] (numeric) = -1.967450774596779 absolute error = 1.214583988939921e-13 relative error = 6.173389467337095e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.606000000000054 y[1] (closed_form) = -1.969885938373454 y[1] (numeric) = -1.969885938373576 absolute error = 1.219024881038422e-13 relative error = 6.188301856933797e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.605000000000055 y[1] (closed_form) = -1.972321695296956 y[1] (numeric) = -1.972321695297078 absolute error = 1.219024881038422e-13 relative error = 6.180659493556315e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.604000000000055 y[1] (closed_form) = -1.974758045656188 y[1] (numeric) = -1.97475804565631 absolute error = 1.221245327087672e-13 relative error = 6.184278270312693e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.603000000000055 y[1] (closed_form) = -1.977194989740381 y[1] (numeric) = -1.977194989740503 absolute error = 1.225686219186173e-13 relative error = 6.199116554240883e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.602000000000055 y[1] (closed_form) = -1.979632527838982 y[1] (numeric) = -1.979632527839105 absolute error = 1.227906665235423e-13 relative error = 6.202699985819275e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.601000000000055 y[1] (closed_form) = -1.982070660241648 y[1] (numeric) = -1.982070660241772 absolute error = 1.232347557333924e-13 relative error = 6.217475401122579e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.600000000000055 y[1] (closed_form) = -1.984509387238249 y[1] (numeric) = -1.984509387238373 absolute error = 1.234568003383174e-13 relative error = 6.22102375187686e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.599000000000055 y[1] (closed_form) = -1.986948709118865 y[1] (numeric) = -1.986948709118989 absolute error = 1.236788449432424e-13 relative error = 6.224561528721556e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.598000000000055 y[1] (closed_form) = -1.989388626173789 y[1] (numeric) = -1.989388626173914 absolute error = 1.241229341530925e-13 relative error = 6.239250215872569e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.597000000000055 y[1] (closed_form) = -1.991829138693529 y[1] (numeric) = -1.991829138693653 absolute error = 1.241229341530925e-13 relative error = 6.231605499782306e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.596000000000056 y[1] (closed_form) = -1.994270246968803 y[1] (numeric) = -1.994270246968927 absolute error = 1.243449787580175e-13 relative error = 6.235111763163297e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.595000000000056 y[1] (closed_form) = -1.996711951290541 y[1] (numeric) = -1.996711951290666 absolute error = 1.245670233629426e-13 relative error = 6.238607590966276e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.594000000000056 y[1] (closed_form) = -1.999154251949891 y[1] (numeric) = -1.999154251950015 absolute error = 1.247890679678676e-13 relative error = 6.24209301739241e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.593000000000056 y[1] (closed_form) = -2.001597149238209 y[1] (numeric) = -2.001597149238334 absolute error = 1.247890679678676e-13 relative error = 6.234474705130415e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.592000000000056 y[1] (closed_form) = -2.004040643447067 y[1] (numeric) = -2.004040643447193 absolute error = 1.252331571777177e-13 relative error = 6.249032802164595e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.591000000000056 y[1] (closed_form) = -2.006484734868252 y[1] (numeric) = -2.006484734868378 absolute error = 1.256772463875677e-13 relative error = 6.263553577237646e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.590000000000056 y[1] (closed_form) = -2.008929423793763 y[1] (numeric) = -2.00892942379389 absolute error = 1.261213355974178e-13 relative error = 6.278037152706137e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.589000000000056 y[1] (closed_form) = -2.011374710515815 y[1] (numeric) = -2.011374710515941 absolute error = 1.261213355974178e-13 relative error = 6.270404760387691e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.588000000000056 y[1] (closed_form) = -2.013820595326834 y[1] (numeric) = -2.01382059532696 absolute error = 1.265654248072678e-13 relative error = 6.284841117474364e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.587000000000057 y[1] (closed_form) = -2.016267078519464 y[1] (numeric) = -2.01626707851959 absolute error = 1.265654248072678e-13 relative error = 6.277215263575314e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.586000000000057 y[1] (closed_form) = -2.018714160386563 y[1] (numeric) = -2.01871416038669 absolute error = 1.270095140171179e-13 relative error = 6.291604651586577e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.585000000000057 y[1] (closed_form) = -2.021161841221204 y[1] (numeric) = -2.021161841221331 absolute error = 1.27453603226968e-13 relative error = 6.305957327492359e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.584000000000057 y[1] (closed_form) = -2.023610121316674 y[1] (numeric) = -2.023610121316802 absolute error = 1.27453603226968e-13 relative error = 6.29832801706089e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.583000000000057 y[1] (closed_form) = -2.026059000966478 y[1] (numeric) = -2.026059000966606 absolute error = 1.27453603226968e-13 relative error = 6.290715283521831e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.582000000000057 y[1] (closed_form) = -2.028508480464335 y[1] (numeric) = -2.028508480464462 absolute error = 1.27453603226968e-13 relative error = 6.283119072679118e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.581000000000057 y[1] (closed_form) = -2.030958560104178 y[1] (numeric) = -2.030958560104306 absolute error = 1.27897692436818e-13 relative error = 6.297405321271425e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.580000000000057 y[1] (closed_form) = -2.033409240180161 y[1] (numeric) = -2.033409240180289 absolute error = 1.283417816466681e-13 relative error = 6.311655278762132e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.579000000000057 y[1] (closed_form) = -2.03586052098665 y[1] (numeric) = -2.035860520986779 absolute error = 1.287858708565182e-13 relative error = 6.325869062685295e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.578000000000058 y[1] (closed_form) = -2.038312402818229 y[1] (numeric) = -2.038312402818358 absolute error = 1.287858708565182e-13 relative error = 6.318259687693364e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.577000000000058 y[1] (closed_form) = -2.0407648859697 y[1] (numeric) = -2.040764885969829 absolute error = 1.292299600663682e-13 relative error = 6.33242765763106e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.576000000000058 y[1] (closed_form) = -2.043217970736079 y[1] (numeric) = -2.043217970736209 absolute error = 1.292299600663682e-13 relative error = 6.324824953444027e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.575000000000058 y[1] (closed_form) = -2.045671657412603 y[1] (numeric) = -2.045671657412732 absolute error = 1.292299600663682e-13 relative error = 6.317238624199364e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.574000000000058 y[1] (closed_form) = -2.048125946294721 y[1] (numeric) = -2.048125946294852 absolute error = 1.301181384860683e-13 relative error = 6.353034036869947e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.573000000000058 y[1] (closed_form) = -2.050580837678107 y[1] (numeric) = -2.050580837678237 absolute error = 1.301181384860683e-13 relative error = 6.345428382789454e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.572000000000058 y[1] (closed_form) = -2.053036331858646 y[1] (numeric) = -2.053036331858776 absolute error = 1.305622276959184e-13 relative error = 6.359469906590421e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.571000000000058 y[1] (closed_form) = -2.055492429132443 y[1] (numeric) = -2.055492429132574 absolute error = 1.310063169057685e-13 relative error = 6.373476012317982e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.570000000000058 y[1] (closed_form) = -2.057949129795825 y[1] (numeric) = -2.057949129795956 absolute error = 1.310063169057685e-13 relative error = 6.365867601341826e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.569000000000059 y[1] (closed_form) = -2.060406434145332 y[1] (numeric) = -2.060406434145463 absolute error = 1.314504061156185e-13 relative error = 6.379828947202105e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.568000000000059 y[1] (closed_form) = -2.062864342477726 y[1] (numeric) = -2.062864342477857 absolute error = 1.314504061156185e-13 relative error = 6.372227364099581e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.567000000000059 y[1] (closed_form) = -2.065322855089986 y[1] (numeric) = -2.065322855090117 absolute error = 1.318944953254686e-13 relative error = 6.38614418081971e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.566000000000059 y[1] (closed_form) = -2.067781972279311 y[1] (numeric) = -2.067781972279443 absolute error = 1.318944953254686e-13 relative error = 6.378549435755144e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.565000000000059 y[1] (closed_form) = -2.070241694343121 y[1] (numeric) = -2.070241694343253 absolute error = 1.323385845353187e-13 relative error = 6.392421952322295e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.564000000000059 y[1] (closed_form) = -2.072702021579052 y[1] (numeric) = -2.072702021579184 absolute error = 1.323385845353187e-13 relative error = 6.384834055138269e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.563000000000059 y[1] (closed_form) = -2.075162954284962 y[1] (numeric) = -2.075162954285095 absolute error = 1.332267629550188e-13 relative error = 6.420062707842849e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.562000000000059 y[1] (closed_form) = -2.077624492758929 y[1] (numeric) = -2.077624492759063 absolute error = 1.332267629550188e-13 relative error = 6.412456313417043e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.561000000000059 y[1] (closed_form) = -2.080086637299251 y[1] (numeric) = -2.080086637299384 absolute error = 1.332267629550188e-13 relative error = 6.404866055386911e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.56000000000006 y[1] (closed_form) = -2.082549388204446 y[1] (numeric) = -2.082549388204579 absolute error = 1.332267629550188e-13 relative error = 6.397291882229292e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.55900000000006 y[1] (closed_form) = -2.085012745773251 y[1] (numeric) = -2.085012745773385 absolute error = 1.336708521648688e-13 relative error = 6.411032855115495e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.55800000000006 y[1] (closed_form) = -2.087476710304627 y[1] (numeric) = -2.087476710304761 absolute error = 1.341149413747189e-13 relative error = 6.42473952943635e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.55700000000006 y[1] (closed_form) = -2.089941282097755 y[1] (numeric) = -2.08994128209789 absolute error = 1.341149413747189e-13 relative error = 6.417163129104877e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.55600000000006 y[1] (closed_form) = -2.092406461452037 y[1] (numeric) = -2.092406461452171 absolute error = 1.34559030584569e-13 relative error = 6.430826565656417e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.55500000000006 y[1] (closed_form) = -2.094872248667094 y[1] (numeric) = -2.094872248667229 absolute error = 1.35003119794419e-13 relative error = 6.444455974836536e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.55400000000006 y[1] (closed_form) = -2.097338644042773 y[1] (numeric) = -2.097338644042908 absolute error = 1.35003119794419e-13 relative error = 6.436877524660999e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.55300000000006 y[1] (closed_form) = -2.099805647879141 y[1] (numeric) = -2.099805647879276 absolute error = 1.354472090042691e-13 relative error = 6.450464077048005e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.55200000000006 y[1] (closed_form) = -2.102273260476486 y[1] (numeric) = -2.102273260476622 absolute error = 1.354472090042691e-13 relative error = 6.442892632024896e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.551000000000061 y[1] (closed_form) = -2.10474148213532 y[1] (numeric) = -2.104741482135456 absolute error = 1.358912982141192e-13 relative error = 6.456436544228394e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.550000000000061 y[1] (closed_form) = -2.107210313156378 y[1] (numeric) = -2.107210313156513 absolute error = 1.358912982141192e-13 relative error = 6.448872111420545e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.549000000000061 y[1] (closed_form) = -2.109679753840614 y[1] (numeric) = -2.109679753840751 absolute error = 1.367794766338193e-13 relative error = 6.483423675314512e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.548000000000061 y[1] (closed_form) = -2.11214980448921 y[1] (numeric) = -2.112149804489347 absolute error = 1.367794766338193e-13 relative error = 6.475841644522804e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.547000000000061 y[1] (closed_form) = -2.114620465403569 y[1] (numeric) = -2.114620465403706 absolute error = 1.372235658436693e-13 relative error = 6.48927635425493e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.546000000000061 y[1] (closed_form) = -2.117091736885317 y[1] (numeric) = -2.117091736885454 absolute error = 1.376676550535194e-13 relative error = 6.502677831809841e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.545000000000061 y[1] (closed_form) = -2.119563619236303 y[1] (numeric) = -2.119563619236442 absolute error = 1.381117442633695e-13 relative error = 6.516046180917763e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.544000000000061 y[1] (closed_form) = -2.122036112758603 y[1] (numeric) = -2.122036112758742 absolute error = 1.385558334732195e-13 relative error = 6.52938150487457e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.543000000000061 y[1] (closed_form) = -2.124509217754515 y[1] (numeric) = -2.124509217754654 absolute error = 1.389999226830696e-13 relative error = 6.542683906544054e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.542000000000062 y[1] (closed_form) = -2.12698293452656 y[1] (numeric) = -2.126982934526699 absolute error = 1.394440118929197e-13 relative error = 6.555953488360178e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.541000000000062 y[1] (closed_form) = -2.129457263377486 y[1] (numeric) = -2.129457263377625 absolute error = 1.394440118929197e-13 relative error = 6.54833577978224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.540000000000062 y[1] (closed_form) = -2.131932204610265 y[1] (numeric) = -2.131932204610405 absolute error = 1.398881011027697e-13 relative error = 6.561564237374164e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.539000000000062 y[1] (closed_form) = -2.134407758528094 y[1] (numeric) = -2.134407758528234 absolute error = 1.398881011027697e-13 relative error = 6.553953926743491e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.538000000000062 y[1] (closed_form) = -2.136883925434394 y[1] (numeric) = -2.136883925434534 absolute error = 1.403321903126198e-13 relative error = 6.567141464368147e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.537000000000062 y[1] (closed_form) = -2.139360705632813 y[1] (numeric) = -2.139360705632954 absolute error = 1.403321903126198e-13 relative error = 6.559538554818419e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.536000000000062 y[1] (closed_form) = -2.141838099427225 y[1] (numeric) = -2.141838099427366 absolute error = 1.407762795224698e-13 relative error = 6.572685375244587e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.535000000000062 y[1] (closed_form) = -2.144316107121729 y[1] (numeric) = -2.14431610712187 absolute error = 1.412203687323199e-13 relative error = 6.585799932355919e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.534000000000062 y[1] (closed_form) = -2.14679472902065 y[1] (numeric) = -2.146794729020791 absolute error = 1.412203687323199e-13 relative error = 6.578196174197963e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.533000000000063 y[1] (closed_form) = -2.149273965428539 y[1] (numeric) = -2.149273965428681 absolute error = 1.4166445794217e-13 relative error = 6.59127036482405e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.532000000000063 y[1] (closed_form) = -2.151753816650174 y[1] (numeric) = -2.151753816650317 absolute error = 1.4210854715202e-13 relative error = 6.604312540421236e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.531000000000063 y[1] (closed_form) = -2.154234282990562 y[1] (numeric) = -2.154234282990704 absolute error = 1.4210854715202e-13 relative error = 6.59670808667762e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.530000000000063 y[1] (closed_form) = -2.156715364754933 y[1] (numeric) = -2.156715364755075 absolute error = 1.425526363618701e-13 relative error = 6.609710242318803e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.529000000000063 y[1] (closed_form) = -2.159197062248746 y[1] (numeric) = -2.159197062248889 absolute error = 1.425526363618701e-13 relative error = 6.602113297310868e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.528000000000063 y[1] (closed_form) = -2.16167937577769 y[1] (numeric) = -2.161679375777832 absolute error = 1.425526363618701e-13 relative error = 6.594531916213758e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.527000000000063 y[1] (closed_form) = -2.164162305647677 y[1] (numeric) = -2.16416230564782 absolute error = 1.429967255717202e-13 relative error = 6.607486194475835e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.526000000000063 y[1] (closed_form) = -2.16664585216485 y[1] (numeric) = -2.166645852164993 absolute error = 1.429967255717202e-13 relative error = 6.599912275872956e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.525000000000063 y[1] (closed_form) = -2.16913001563558 y[1] (numeric) = -2.169130015635724 absolute error = 1.434408147815702e-13 relative error = 6.612826974299205e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.524000000000064 y[1] (closed_form) = -2.171614796366466 y[1] (numeric) = -2.17161479636661 absolute error = 1.438849039914203e-13 relative error = 6.625710242542449e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.523000000000064 y[1] (closed_form) = -2.174100194664335 y[1] (numeric) = -2.174100194664479 absolute error = 1.438849039914203e-13 relative error = 6.618135831298936e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.522000000000064 y[1] (closed_form) = -2.176586210836243 y[1] (numeric) = -2.176586210836387 absolute error = 1.443289932012704e-13 relative error = 6.630979856562596e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.521000000000064 y[1] (closed_form) = -2.179072845189476 y[1] (numeric) = -2.179072845189621 absolute error = 1.443289932012704e-13 relative error = 6.623412958400688e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.520000000000064 y[1] (closed_form) = -2.181560098031549 y[1] (numeric) = -2.181560098031693 absolute error = 1.443289932012704e-13 relative error = 6.615861434736561e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.519000000000064 y[1] (closed_form) = -2.184047969670205 y[1] (numeric) = -2.184047969670349 absolute error = 1.447730824111204e-13 relative error = 6.62865854695405e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.518000000000064 y[1] (closed_form) = -2.186536460413418 y[1] (numeric) = -2.186536460413563 absolute error = 1.447730824111204e-13 relative error = 6.621114490071093e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.517000000000064 y[1] (closed_form) = -2.189025570569394 y[1] (numeric) = -2.189025570569538 absolute error = 1.447730824111204e-13 relative error = 6.613585714006214e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.516000000000064 y[1] (closed_form) = -2.191515300446564 y[1] (numeric) = -2.191515300446709 absolute error = 1.456612608308205e-13 relative error = 6.646600222281782e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.515000000000065 y[1] (closed_form) = -2.194005650353594 y[1] (numeric) = -2.19400565035374 absolute error = 1.456612608308205e-13 relative error = 6.639055866029571e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.514000000000065 y[1] (closed_form) = -2.19649662059938 y[1] (numeric) = -2.196496620599526 absolute error = 1.456612608308205e-13 relative error = 6.631526744214725e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.513000000000065 y[1] (closed_form) = -2.198988211493047 y[1] (numeric) = -2.198988211493193 absolute error = 1.465494392505207e-13 relative error = 6.66440313252148e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.512000000000065 y[1] (closed_form) = -2.201480423343952 y[1] (numeric) = -2.201480423344099 absolute error = 1.469935284603707e-13 relative error = 6.677030915273551e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.511000000000065 y[1] (closed_form) = -2.203973256461685 y[1] (numeric) = -2.203973256461832 absolute error = 1.469935284603707e-13 relative error = 6.669478771097155e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.510000000000065 y[1] (closed_form) = -2.206466711156065 y[1] (numeric) = -2.206466711156212 absolute error = 1.469935284603707e-13 relative error = 6.661941814810085e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.509000000000065 y[1] (closed_form) = -2.208960787737143 y[1] (numeric) = -2.208960787737291 absolute error = 1.474376176702208e-13 relative error = 6.674523988325555e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.508000000000065 y[1] (closed_form) = -2.211455486515205 y[1] (numeric) = -2.211455486515353 absolute error = 1.474376176702208e-13 relative error = 6.666994591084981e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.507000000000065 y[1] (closed_form) = -2.213950807800767 y[1] (numeric) = -2.213950807800915 absolute error = 1.478817068800709e-13 relative error = 6.679538965320078e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.506000000000066 y[1] (closed_form) = -2.216446751904576 y[1] (numeric) = -2.216446751904725 absolute error = 1.483257960899209e-13 relative error = 6.692053213661264e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.505000000000066 y[1] (closed_form) = -2.218943319137616 y[1] (numeric) = -2.218943319137764 absolute error = 1.483257960899209e-13 relative error = 6.684523881735168e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.504000000000066 y[1] (closed_form) = -2.221440509811099 y[1] (numeric) = -2.221440509811248 absolute error = 1.48769885299771e-13 relative error = 6.697000646324832e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.503000000000066 y[1] (closed_form) = -2.223938324236475 y[1] (numeric) = -2.223938324236624 absolute error = 1.496580637194711e-13 relative error = 6.729416103337844e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.502000000000066 y[1] (closed_form) = -2.226436762725423 y[1] (numeric) = -2.226436762725573 absolute error = 1.496580637194711e-13 relative error = 6.721864560674602e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.501000000000066 y[1] (closed_form) = -2.22893582558986 y[1] (numeric) = -2.22893582559001 absolute error = 1.501021529293212e-13 relative error = 6.734251888548586e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = 2.500000000000066 y[1] (closed_form) = -2.231435513141933 y[1] (numeric) = -2.231435513142084 absolute error = 1.505462421391712e-13 relative error = 6.746609581703629e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 Finished! diff ( y , x , 1 ) = 2.0 / ( 0.2 * x + 0.3 ) ; Iterations = 601 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 %