##############ECHO OF PROBLEM################# ##############temp/add_lin_fullpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + sin ( 0.3 * x + 0.1 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(-5.0); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=false; glob_h=c(0.001); glob_display_interval=c(0.01); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(c(0.05) * c(x) * c(x) + c(0.2) * c(x) - cos(c(0.3) * c( x) + c(0.1)) /c( 0.3)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = -0.3165571430008035 y[1] (numeric) = -0.3165571430008035 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.989999999999997 y[1] (closed_form) = -0.3294040760137217 y[1] (numeric) = -0.3294040760137176 absolute error = 4.107825191113079e-15 relative error = 1.247047468514616e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.979999999999993 y[1] (closed_form) = -0.3422358213488466 y[1] (numeric) = -0.3422358213488381 absolute error = 8.43769498715119e-15 relative error = 2.465462251699979e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.96999999999999 y[1] (closed_form) = -0.3550522903855364 y[1] (numeric) = -0.3550522903855237 absolute error = 1.271205363195804e-14 relative error = 3.580332806233852e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.959999999999987 y[1] (closed_form) = -0.3678533945506365 y[1] (numeric) = -0.3678533945506196 absolute error = 1.693090112553364e-14 relative error = 4.602621961995523e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.949999999999983 y[1] (closed_form) = -0.3806390453192756 y[1] (numeric) = -0.3806390453192545 absolute error = 2.114974861910923e-14 relative error = 5.556379167925106e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.93999999999998 y[1] (closed_form) = -0.3934091542156635 y[1] (numeric) = -0.393409154215638 absolute error = 2.547961841514734e-14 relative error = 6.47662062311332e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.929999999999977 y[1] (closed_form) = -0.4061636328138858 y[1] (numeric) = -0.4061636328138561 absolute error = 2.964295475749168e-14 relative error = 7.298278910922292e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.919999999999973 y[1] (closed_form) = -0.4189023927387019 y[1] (numeric) = -0.418902392738668 absolute error = 3.386180225106727e-14 relative error = 8.083458781336969e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.90999999999997 y[1] (closed_form) = -0.4316253456663388 y[1] (numeric) = -0.4316253456663005 absolute error = 3.83026943495679e-14 relative error = 8.874060509684988e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.899999999999967 y[1] (closed_form) = -0.4443324033252859 y[1] (numeric) = -0.4443324033252434 absolute error = 4.246603069191224e-14 relative error = 9.557266220988119e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.889999999999963 y[1] (closed_form) = -0.4570234774970908 y[1] (numeric) = -0.457023477497044 absolute error = 4.679590048795035e-14 relative error = 1.023927714703633e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.87999999999996 y[1] (closed_form) = -0.4696984800171519 y[1] (numeric) = -0.4696984800171009 absolute error = 5.095923683029469e-14 relative error = 1.084935101949528e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.869999999999957 y[1] (closed_form) = -0.4823573227755126 y[1] (numeric) = -0.4823573227754575 absolute error = 5.512257317263902e-14 relative error = 1.142774672839224e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.859999999999953 y[1] (closed_form) = -0.4949999177176544 y[1] (numeric) = -0.4949999177175949 absolute error = 5.950795411990839e-14 relative error = 1.20218109114619e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.84999999999995 y[1] (closed_form) = -0.5076261768452884 y[1] (numeric) = -0.5076261768452247 absolute error = 6.372680161348399e-14 relative error = 1.255388404308123e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.839999999999947 y[1] (closed_form) = -0.5202360122171487 y[1] (numeric) = -0.5202360122170806 absolute error = 6.80566714095221e-14 relative error = 1.308188395483759e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.829999999999943 y[1] (closed_form) = -0.5328293359497827 y[1] (numeric) = -0.5328293359497104 absolute error = 7.227551890309769e-14 relative error = 1.356447815964649e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.81999999999994 y[1] (closed_form) = -0.5454060602183427 y[1] (numeric) = -0.5454060602182663 absolute error = 7.638334409421077e-14 relative error = 1.400485797015754e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.809999999999937 y[1] (closed_form) = -0.5579660972573762 y[1] (numeric) = -0.5579660972572957 absolute error = 8.049116928532385e-14 relative error = 1.442581721021577e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.799999999999933 y[1] (closed_form) = -0.5705093593616156 y[1] (numeric) = -0.5705093593615309 absolute error = 8.471001677889944e-14 relative error = 1.484813796458793e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.78999999999993 y[1] (closed_form) = -0.5830357588867675 y[1] (numeric) = -0.5830357588866786 absolute error = 8.892886427247504e-14 relative error = 1.525272899937962e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.779999999999927 y[1] (closed_form) = -0.5955452082503023 y[1] (numeric) = -0.5955452082502091 absolute error = 9.325873406851315e-14 relative error = 1.565938786452587e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.769999999999923 y[1] (closed_form) = -0.6080376199322409 y[1] (numeric) = -0.6080376199321436 absolute error = 9.736655925962623e-14 relative error = 1.601324590252765e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.75999999999992 y[1] (closed_form) = -0.620512906475944 y[1] (numeric) = -0.6205129064758427 absolute error = 1.013633621482768e-13 relative error = 1.633541560383425e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.749999999999917 y[1] (closed_form) = -0.6329709804888984 y[1] (numeric) = -0.6329709804887925 absolute error = 1.059152765492399e-13 relative error = 1.673303829307188e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.739999999999913 y[1] (closed_form) = -0.6454117546435032 y[1] (numeric) = -0.6454117546433932 absolute error = 1.10023101740353e-13 relative error = 1.704696280301323e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.72999999999991 y[1] (closed_form) = -0.6578351416778564 y[1] (numeric) = -0.6578351416777423 absolute error = 1.141309269314661e-13 relative error = 1.734947248947006e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.719999999999906 y[1] (closed_form) = -0.6702410543965402 y[1] (numeric) = -0.670241054396422 absolute error = 1.182387521225792e-13 relative error = 1.764122793537869e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.709999999999903 y[1] (closed_form) = -0.6826294056714055 y[1] (numeric) = -0.6826294056712834 absolute error = 1.221245327087672e-13 relative error = 1.789031232673762e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.6999999999999 y[1] (closed_form) = -0.6950001084423563 y[1] (numeric) = -0.6950001084422298 absolute error = 1.264544025048053e-13 relative error = 1.819487521925956e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.689999999999896 y[1] (closed_form) = -0.7073530757181327 y[1] (numeric) = -0.7073530757180021 absolute error = 1.305622276959184e-13 relative error = 1.845785820092271e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.679999999999893 y[1] (closed_form) = -0.7196882205770945 y[1] (numeric) = -0.7196882205769597 absolute error = 1.34781075189494e-13 relative error = 1.872770337708424e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.66999999999989 y[1] (closed_form) = -0.7320054561680028 y[1] (numeric) = -0.7320054561678641 absolute error = 1.387778780781446e-13 relative error = 1.895858520025752e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.659999999999886 y[1] (closed_form) = -0.7443046957108028 y[1] (numeric) = -0.7443046957106599 absolute error = 1.428857032692576e-13 relative error = 1.919720567298093e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.649999999999883 y[1] (closed_form) = -0.7565858524974034 y[1] (numeric) = -0.7565858524972564 absolute error = 1.469935284603707e-13 relative error = 1.942853252874897e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.63999999999988 y[1] (closed_form) = -0.7688488398924586 y[1] (numeric) = -0.7688488398923076 absolute error = 1.509903313490213e-13 relative error = 1.963849374737183e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.629999999999876 y[1] (closed_form) = -0.7810935713341467 y[1] (numeric) = -0.7810935713339917 absolute error = 1.549871342376719e-13 relative error = 1.984232618544615e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.619999999999873 y[1] (closed_form) = -0.7933199603349496 y[1] (numeric) = -0.7933199603347905 absolute error = 1.590949594287849e-13 relative error = 2.005432453276646e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.60999999999987 y[1] (closed_form) = -0.8055279204824312 y[1] (numeric) = -0.8055279204822681 absolute error = 1.630917623174355e-13 relative error = 2.024656851369717e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.599999999999866 y[1] (closed_form) = -0.8177173654400147 y[1] (numeric) = -0.8177173654398474 absolute error = 1.673106098110111e-13 relative error = 2.046068933866667e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.589999999999863 y[1] (closed_form) = -0.8298882089477605 y[1] (numeric) = -0.8298882089475891 absolute error = 1.714184350021242e-13 relative error = 2.065560555673765e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.57999999999986 y[1] (closed_form) = -0.8420403648231414 y[1] (numeric) = -0.842040364822966 absolute error = 1.754152378907747e-13 relative error = 2.083216496724812e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.569999999999856 y[1] (closed_form) = -0.854173746961819 y[1] (numeric) = -0.8541737469616395 absolute error = 1.795230630818878e-13 relative error = 2.101716000057683e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.559999999999853 y[1] (closed_form) = -0.8662882693384188 y[1] (numeric) = -0.8662882693382356 absolute error = 1.832978213656133e-13 relative error = 2.115898689308089e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.54999999999985 y[1] (closed_form) = -0.8783838460073041 y[1] (numeric) = -0.8783838460071166 absolute error = 1.875166688591889e-13 relative error = 2.134791864758743e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.539999999999846 y[1] (closed_form) = -0.8904603911033488 y[1] (numeric) = -0.8904603911031576 absolute error = 1.912914271429145e-13 relative error = 2.1482306125474e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.529999999999843 y[1] (closed_form) = -0.9025178188427119 y[1] (numeric) = -0.9025178188425163 absolute error = 1.956212969389526e-13 relative error = 2.167506201592734e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.51999999999984 y[1] (closed_form) = -0.9145560435236071 y[1] (numeric) = -0.9145560435234077 absolute error = 1.993960552226781e-13 relative error = 2.180249713887886e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.509999999999836 y[1] (closed_form) = -0.9265749795270775 y[1] (numeric) = -0.926574979526874 absolute error = 2.035038804137912e-13 relative error = 2.196302349084143e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.499999999999833 y[1] (closed_form) = -0.9385745413177629 y[1] (numeric) = -0.9385745413175554 absolute error = 2.075006833024418e-13 relative error = 2.210806645267726e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.48999999999983 y[1] (closed_form) = -0.9505546434446708 y[1] (numeric) = -0.9505546434444595 absolute error = 2.112754415861673e-13 relative error = 2.222654352836951e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.479999999999826 y[1] (closed_form) = -0.9625152005419466 y[1] (numeric) = -0.9625152005417315 absolute error = 2.151612221723553e-13 relative error = 2.235405966068985e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.469999999999823 y[1] (closed_form) = -0.9744561273296404 y[1] (numeric) = -0.9744561273294211 absolute error = 2.192690473634684e-13 relative error = 2.250168491057102e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.45999999999982 y[1] (closed_form) = -0.9863773386144749 y[1] (numeric) = -0.9863773386142515 absolute error = 2.233768725545815e-13 relative error = 2.264618861462796e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.449999999999816 y[1] (closed_form) = -0.9982787492906122 y[1] (numeric) = -0.9982787492903847 absolute error = 2.274846977456946e-13 relative error = 2.278769310749605e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.439999999999813 y[1] (closed_form) = -1.01016027434042 y[1] (numeric) = -1.010160274340189 absolute error = 2.313704783318826e-13 relative error = 2.290433352103012e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.42999999999981 y[1] (closed_form) = -1.022021828835237 y[1] (numeric) = -1.022021828835002 absolute error = 2.344791028008331e-13 relative error = 2.294267071262665e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.419999999999806 y[1] (closed_form) = -1.033863327936135 y[1] (numeric) = -1.033863327935897 absolute error = 2.386979502944087e-13 relative error = 2.30879598728889e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.409999999999803 y[1] (closed_form) = -1.045684686894688 y[1] (numeric) = -1.045684686894445 absolute error = 2.424727085781342e-13 relative error = 2.318793720678765e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.3999999999998 y[1] (closed_form) = -1.057485821053727 y[1] (numeric) = -1.05748582105348 absolute error = 2.466915560717098e-13 relative error = 2.332811950385256e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.389999999999796 y[1] (closed_form) = -1.069266645848108 y[1] (numeric) = -1.069266645847858 absolute error = 2.504663143554353e-13 relative error = 2.342412113273892e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.379999999999793 y[1] (closed_form) = -1.081027076805472 y[1] (numeric) = -1.081027076805218 absolute error = 2.546851618490109e-13 relative error = 2.355955436395057e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.36999999999979 y[1] (closed_form) = -1.092767029547004 y[1] (numeric) = -1.092767029546746 absolute error = 2.582378755278114e-13 relative error = 2.363155810391364e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.359999999999786 y[1] (closed_form) = -1.104486419788191 y[1] (numeric) = -1.10448641978793 absolute error = 2.617905892066119e-13 relative error = 2.370247243572409e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.349999999999783 y[1] (closed_form) = -1.116185163339586 y[1] (numeric) = -1.11618516333932 absolute error = 2.655653474903374e-13 relative error = 2.379223055570597e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.33999999999978 y[1] (closed_form) = -1.127863176107558 y[1] (numeric) = -1.127863176107288 absolute error = 2.700062395888381e-13 relative error = 2.393962719136501e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.329999999999776 y[1] (closed_form) = -1.139520374095057 y[1] (numeric) = -1.139520374094783 absolute error = 2.735589532676386e-13 relative error = 2.400649953142643e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.319999999999773 y[1] (closed_form) = -1.151156673402363 y[1] (numeric) = -1.151156673402085 absolute error = 2.775557561562891e-13 relative error = 2.411103219650757e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.30999999999977 y[1] (closed_form) = -1.162771990227845 y[1] (numeric) = -1.162771990227563 absolute error = 2.817746036498647e-13 relative error = 2.423300578427685e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.299999999999766 y[1] (closed_form) = -1.174366240868714 y[1] (numeric) = -1.174366240868429 absolute error = 2.855493619335903e-13 relative error = 2.431518822632033e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.289999999999763 y[1] (closed_form) = -1.185939341721778 y[1] (numeric) = -1.185939341721489 absolute error = 2.893241202173158e-13 relative error = 2.439619886437593e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.27999999999976 y[1] (closed_form) = -1.197491209284192 y[1] (numeric) = -1.197491209283899 absolute error = 2.933209231059664e-13 relative error = 2.449462015519102e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.269999999999756 y[1] (closed_form) = -1.209021760154209 y[1] (numeric) = -1.209021760153912 absolute error = 2.97539770599542e-13 relative error = 2.46099599201251e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.259999999999753 y[1] (closed_form) = -1.220530911031935 y[1] (numeric) = -1.220530911031634 absolute error = 3.010924842783425e-13 relative error = 2.466897655412714e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.24999999999975 y[1] (closed_form) = -1.232018578720074 y[1] (numeric) = -1.23201857871977 absolute error = 3.044231533522179e-13 relative error = 2.470929891889119e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.239999999999746 y[1] (closed_form) = -1.24348468012468 y[1] (numeric) = -1.243484680124372 absolute error = 3.084199562408685e-13 relative error = 2.480287543308891e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.229999999999743 y[1] (closed_form) = -1.254929132255901 y[1] (numeric) = -1.254929132255589 absolute error = 3.11972669919669e-13 relative error = 2.485978386356024e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.21999999999974 y[1] (closed_form) = -1.266351852228731 y[1] (numeric) = -1.266351852228415 absolute error = 3.159694728083196e-13 relative error = 2.495115968379762e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.209999999999736 y[1] (closed_form) = -1.277752757263752 y[1] (numeric) = -1.277752757263433 absolute error = 3.195221864871201e-13 relative error = 2.500657382038148e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.199999999999733 y[1] (closed_form) = -1.289131764687881 y[1] (numeric) = -1.289131764687558 absolute error = 3.230749001659206e-13 relative error = 2.506143351794159e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.189999999999729 y[1] (closed_form) = -1.300488791935113 y[1] (numeric) = -1.300488791934786 absolute error = 3.270717030545711e-13 relative error = 2.514990556496008e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.179999999999726 y[1] (closed_form) = -1.311823756547265 y[1] (numeric) = -1.311823756546934 absolute error = 3.306244167333716e-13 relative error = 2.520341738615703e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.169999999999723 y[1] (closed_form) = -1.323136576174716 y[1] (numeric) = -1.323136576174381 absolute error = 3.343991750170971e-13 relative error = 2.52732167667732e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.159999999999719 y[1] (closed_form) = -1.334427168577152 y[1] (numeric) = -1.334427168576814 absolute error = 3.379518886958977e-13 relative error = 2.532561511440468e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.149999999999716 y[1] (closed_form) = -1.345695451624303 y[1] (numeric) = -1.345695451623961 absolute error = 3.419486915845482e-13 relative error = 2.541055564777334e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.139999999999713 y[1] (closed_form) = -1.356941343296683 y[1] (numeric) = -1.356941343296337 absolute error = 3.455014052633487e-13 relative error = 2.546177894646166e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.129999999999709 y[1] (closed_form) = -1.368164761686328 y[1] (numeric) = -1.368164761685978 absolute error = 3.490541189421492e-13 relative error = 2.551257923876972e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.119999999999706 y[1] (closed_form) = -1.379365624997534 y[1] (numeric) = -1.379365624997181 absolute error = 3.526068326209497e-13 relative error = 2.55629708491235e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.109999999999703 y[1] (closed_form) = -1.390543851547593 y[1] (numeric) = -1.390543851547236 absolute error = 3.566036355096003e-13 relative error = 2.564490397859238e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.099999999999699 y[1] (closed_form) = -1.401699359767526 y[1] (numeric) = -1.401699359767166 absolute error = 3.603783937933258e-13 relative error = 2.57101061851876e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.089999999999696 y[1] (closed_form) = -1.412832068202822 y[1] (numeric) = -1.412832068202458 absolute error = 3.639311074721263e-13 relative error = 2.575897841383662e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.079999999999693 y[1] (closed_form) = -1.423941895514164 y[1] (numeric) = -1.423941895513797 absolute error = 3.672617765460018e-13 relative error = 2.579190750008721e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.069999999999689 y[1] (closed_form) = -1.435028760478169 y[1] (numeric) = -1.435028760477798 absolute error = 3.712585794346523e-13 relative error = 2.587115949585181e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.059999999999686 y[1] (closed_form) = -1.446092581988112 y[1] (numeric) = -1.446092581987737 absolute error = 3.748112931134528e-13 relative error = 2.591890019919444e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.049999999999683 y[1] (closed_form) = -1.45713327905466 y[1] (numeric) = -1.457133279054282 absolute error = 3.781419621873283e-13 relative error = 2.595108955528449e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.039999999999679 y[1] (closed_form) = -1.468150770806601 y[1] (numeric) = -1.468150770806219 absolute error = 3.823608096809039e-13 relative error = 2.604370186522704e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.029999999999676 y[1] (closed_form) = -1.479144976491569 y[1] (numeric) = -1.479144976491183 absolute error = 3.861355679646294e-13 relative error = 2.610532260877609e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.019999999999673 y[1] (closed_form) = -1.490115815476774 y[1] (numeric) = -1.490115815476384 absolute error = 3.89910326248355e-13 relative error = 2.616644439302191e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.009999999999669 y[1] (closed_form) = -1.501063207249725 y[1] (numeric) = -1.501063207249331 absolute error = 3.939071291370055e-13 relative error = 2.624187490803464e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.999999999999666 y[1] (closed_form) = -1.511987071418956 y[1] (numeric) = -1.511987071418559 absolute error = 3.97459842815806e-13 relative error = 2.628725141431279e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.989999999999668 y[1] (closed_form) = -1.522887327714745 y[1] (numeric) = -1.522887327714349 absolute error = 3.961275751862559e-13 relative error = 2.601161412122901e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.979999999999669 y[1] (closed_form) = -1.533763895989852 y[1] (numeric) = -1.533763895989457 absolute error = 3.950173521616307e-13 relative error = 2.575476924410824e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.96999999999967 y[1] (closed_form) = -1.54461669622022 y[1] (numeric) = -1.544616696219826 absolute error = 3.936850845320805e-13 relative error = 2.548755853121711e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.959999999999671 y[1] (closed_form) = -1.555445648505708 y[1] (numeric) = -1.555445648505315 absolute error = 3.930189507173054e-13 relative error = 2.526728922318002e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.949999999999672 y[1] (closed_form) = -1.566250673070806 y[1] (numeric) = -1.566250673070414 absolute error = 3.916866830877552e-13 relative error = 2.500791794201184e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.939999999999673 y[1] (closed_form) = -1.577031690265351 y[1] (numeric) = -1.577031690264961 absolute error = 3.905764600631301e-13 relative error = 2.476655748099848e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.929999999999674 y[1] (closed_form) = -1.587788620565249 y[1] (numeric) = -1.58778862056486 absolute error = 3.890221478286549e-13 relative error = 2.450087768547956e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.919999999999675 y[1] (closed_form) = -1.598521384573187 y[1] (numeric) = -1.598521384572799 absolute error = 3.879119248040297e-13 relative error = 2.426692120278416e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.909999999999676 y[1] (closed_form) = -1.609229903019348 y[1] (numeric) = -1.609229903018961 absolute error = 3.865796571744795e-13 relative error = 2.402264937092905e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.899999999999678 y[1] (closed_form) = -1.619914096762125 y[1] (numeric) = -1.61991409676174 absolute error = 3.852473895449293e-13 relative error = 2.378196413716996e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.889999999999679 y[1] (closed_form) = -1.630573886788834 y[1] (numeric) = -1.63057388678845 absolute error = 3.841371665203042e-13 relative error = 2.355840294221831e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.87999999999968 y[1] (closed_form) = -1.641209194216425 y[1] (numeric) = -1.641209194216041 absolute error = 3.83248988100604e-13 relative error = 2.335162326966987e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.869999999999681 y[1] (closed_form) = -1.651819940292188 y[1] (numeric) = -1.651819940291805 absolute error = 3.823608096809039e-13 relative error = 2.314785046203454e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.859999999999682 y[1] (closed_form) = -1.662406046394468 y[1] (numeric) = -1.662406046394087 absolute error = 3.810285420513537e-13 relative error = 2.29203053536621e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.849999999999683 y[1] (closed_form) = -1.67296743403337 y[1] (numeric) = -1.67296743403299 absolute error = 3.796962744218035e-13 relative error = 2.26959752292602e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.839999999999684 y[1] (closed_form) = -1.683504024851463 y[1] (numeric) = -1.683504024851084 absolute error = 3.785860513971784e-13 relative error = 2.248798017756931e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.829999999999685 y[1] (closed_form) = -1.694015740624489 y[1] (numeric) = -1.694015740624111 absolute error = 3.774758283725532e-13 relative error = 2.228289969923178e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.819999999999686 y[1] (closed_form) = -1.704502503262064 y[1] (numeric) = -1.704502503261688 absolute error = 3.763656053479281e-13 relative error = 2.208067190442035e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.809999999999687 y[1] (closed_form) = -1.714964234808383 y[1] (numeric) = -1.714964234808008 absolute error = 3.750333377183779e-13 relative error = 2.18682891518307e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.799999999999689 y[1] (closed_form) = -1.72540085744292 y[1] (numeric) = -1.725400857442546 absolute error = 3.737010700888277e-13 relative error = 2.16587970544225e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.78999999999969 y[1] (closed_form) = -1.73581229348113 y[1] (numeric) = -1.735812293480758 absolute error = 3.725908470642025e-13 relative error = 2.14649273117533e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.779999999999691 y[1] (closed_form) = -1.746198465375148 y[1] (numeric) = -1.746198465374776 absolute error = 3.721467578543525e-13 relative error = 2.13118248145065e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.769999999999692 y[1] (closed_form) = -1.756559295714482 y[1] (numeric) = -1.756559295714112 absolute error = 3.705924456198773e-13 relative error = 2.109763368216604e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.759999999999693 y[1] (closed_form) = -1.76689470722672 y[1] (numeric) = -1.76689470722635 absolute error = 3.699263118051022e-13 relative error = 2.093652271932664e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.749999999999694 y[1] (closed_form) = -1.777204622778215 y[1] (numeric) = -1.777204622777846 absolute error = 3.683719995706269e-13 relative error = 2.072760755003943e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.739999999999695 y[1] (closed_form) = -1.787488965374784 y[1] (numeric) = -1.787488965374417 absolute error = 3.677058657558518e-13 relative error = 2.057108451456956e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.729999999999696 y[1] (closed_form) = -1.797747658162402 y[1] (numeric) = -1.797747658162036 absolute error = 3.663735981263017e-13 relative error = 2.03795897862994e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.719999999999697 y[1] (closed_form) = -1.807980624427892 y[1] (numeric) = -1.807980624427527 absolute error = 3.654854197066015e-13 relative error = 2.021511816932517e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.709999999999698 y[1] (closed_form) = -1.818187787599614 y[1] (numeric) = -1.81818778759925 absolute error = 3.643751966819764e-13 relative error = 2.004057002071427e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.6999999999997 y[1] (closed_form) = -1.828369071248158 y[1] (numeric) = -1.828369071247795 absolute error = 3.628208844475012e-13 relative error = 1.984396313375708e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.689999999999701 y[1] (closed_form) = -1.838524399087027 y[1] (numeric) = -1.838524399086665 absolute error = 3.61710661422876e-13 relative error = 1.96739657957487e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.679999999999702 y[1] (closed_form) = -1.848653694973328 y[1] (numeric) = -1.848653694972967 absolute error = 3.606004383982508e-13 relative error = 1.950611081884936e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.669999999999703 y[1] (closed_form) = -1.858756882908456 y[1] (numeric) = -1.858756882908096 absolute error = 3.599343045834758e-13 relative error = 1.936424864882142e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.659999999999704 y[1] (closed_form) = -1.868833887038774 y[1] (numeric) = -1.868833887038416 absolute error = 3.581579477440755e-13 relative error = 1.916478239334519e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.649999999999705 y[1] (closed_form) = -1.878884631656305 y[1] (numeric) = -1.878884631655948 absolute error = 3.572697693243754e-13 relative error = 1.901499236860696e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.639999999999706 y[1] (closed_form) = -1.888909041199402 y[1] (numeric) = -1.888909041199046 absolute error = 3.561595462997502e-13 relative error = 1.885530422754498e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.629999999999707 y[1] (closed_form) = -1.898907040253436 y[1] (numeric) = -1.898907040253081 absolute error = 3.552713678800501e-13 relative error = 1.870925539528434e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.619999999999708 y[1] (closed_form) = -1.908878553551472 y[1] (numeric) = -1.908878553551118 absolute error = 3.539391002504999e-13 relative error = 1.854172962402431e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.609999999999709 y[1] (closed_form) = -1.918823505974947 y[1] (numeric) = -1.918823505974594 absolute error = 3.532729664357248e-13 relative error = 1.841091509123598e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.599999999999711 y[1] (closed_form) = -1.928741822554345 y[1] (numeric) = -1.928741822553993 absolute error = 3.521627434110997e-13 relative error = 1.825867720049281e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.589999999999712 y[1] (closed_form) = -1.938633428469873 y[1] (numeric) = -1.938633428469522 absolute error = 3.508304757815495e-13 relative error = 1.809679285570008e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.579999999999713 y[1] (closed_form) = -1.948498249052133 y[1] (numeric) = -1.948498249051783 absolute error = 3.501643419667744e-13 relative error = 1.797098571359329e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.569999999999714 y[1] (closed_form) = -1.958336209782798 y[1] (numeric) = -1.958336209782449 absolute error = 3.490541189421492e-13 relative error = 1.782401393583298e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.559999999999715 y[1] (closed_form) = -1.968147236295274 y[1] (numeric) = -1.968147236294926 absolute error = 3.47721851312599e-13 relative error = 1.766747146250757e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.549999999999716 y[1] (closed_form) = -1.977931254375381 y[1] (numeric) = -1.977931254375034 absolute error = 3.466116282879739e-13 relative error = 1.752394718073414e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.539999999999717 y[1] (closed_form) = -1.98768818996201 y[1] (numeric) = -1.987688189961664 absolute error = 3.457234498682737e-13 relative error = 1.739324364929096e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.529999999999718 y[1] (closed_form) = -1.997417969147796 y[1] (numeric) = -1.997417969147451 absolute error = 3.448352714485736e-13 relative error = 1.726405172952852e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.519999999999719 y[1] (closed_form) = -2.007120518179783 y[1] (numeric) = -2.007120518179439 absolute error = 3.432809592140984e-13 relative error = 1.710315629304677e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.50999999999972 y[1] (closed_form) = -2.016795763460084 y[1] (numeric) = -2.016795763459742 absolute error = 3.423927807943983e-13 relative error = 1.697706763360993e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.499999999999722 y[1] (closed_form) = -2.026443631546547 y[1] (numeric) = -2.026443631546205 absolute error = 3.419486915845482e-13 relative error = 1.687432535804506e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.489999999999723 y[1] (closed_form) = -2.036064049153414 y[1] (numeric) = -2.036064049153072 absolute error = 3.415046023746982e-13 relative error = 1.677278288552338e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.479999999999724 y[1] (closed_form) = -2.045656943151981 y[1] (numeric) = -2.04565694315164 absolute error = 3.40616423954998e-13 relative error = 1.665071091686423e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.469999999999725 y[1] (closed_form) = -2.055222240571257 y[1] (numeric) = -2.055222240570918 absolute error = 3.392841563254478e-13 relative error = 1.6508392602405e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.459999999999726 y[1] (closed_form) = -2.06475986859862 y[1] (numeric) = -2.064759868598283 absolute error = 3.375077994860476e-13 relative error = 1.634610419443684e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.449999999999727 y[1] (closed_form) = -2.074269754580472 y[1] (numeric) = -2.074269754580136 absolute error = 3.361755318564974e-13 relative error = 1.620693408435153e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.439999999999728 y[1] (closed_form) = -2.083751826022894 y[1] (numeric) = -2.083751826022559 absolute error = 3.352873534367973e-13 relative error = 1.609056074958484e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.429999999999729 y[1] (closed_form) = -2.093206010592298 y[1] (numeric) = -2.093206010591964 absolute error = 3.339550858072471e-13 relative error = 1.59542388143989e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.41999999999973 y[1] (closed_form) = -2.102632236116075 y[1] (numeric) = -2.102632236115741 absolute error = 3.33066907387547e-13 relative error = 1.584047374840876e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.409999999999731 y[1] (closed_form) = -2.11203043058325 y[1] (numeric) = -2.112030430582917 absolute error = 3.326228181776969e-13 relative error = 1.57489595491217e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.399999999999733 y[1] (closed_form) = -2.121400522145127 y[1] (numeric) = -2.121400522144795 absolute error = 3.317346397579968e-13 relative error = 1.563752984384825e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.389999999999734 y[1] (closed_form) = -2.130742439115935 y[1] (numeric) = -2.130742439115604 absolute error = 3.308464613382966e-13 relative error = 1.552728547874458e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.379999999999735 y[1] (closed_form) = -2.140056109973477 y[1] (numeric) = -2.140056109973147 absolute error = 3.304023721284466e-13 relative error = 1.543895838004647e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.369999999999736 y[1] (closed_form) = -2.149341463359767 y[1] (numeric) = -2.149341463359437 absolute error = 3.299582829185965e-13 relative error = 1.535159901502196e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.359999999999737 y[1] (closed_form) = -2.158598428081677 y[1] (numeric) = -2.158598428081349 absolute error = 3.277378368693462e-13 relative error = 1.518289982081583e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.349999999999738 y[1] (closed_form) = -2.167826933111581 y[1] (numeric) = -2.167826933111254 absolute error = 3.268496584496461e-13 relative error = 1.507729484569619e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.339999999999739 y[1] (closed_form) = -2.177026907587984 y[1] (numeric) = -2.177026907587658 absolute error = 3.25961480029946e-13 relative error = 1.497278140632133e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.32999999999974 y[1] (closed_form) = -2.186198280816169 y[1] (numeric) = -2.186198280815844 absolute error = 3.246292124003958e-13 relative error = 1.48490288026026e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.319999999999741 y[1] (closed_form) = -2.195340982268831 y[1] (numeric) = -2.195340982268508 absolute error = 3.228528555609955e-13 relative error = 1.470627379384751e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.309999999999742 y[1] (closed_form) = -2.204454941586709 y[1] (numeric) = -2.204454941586387 absolute error = 3.224087663511455e-13 relative error = 1.462532802412754e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.299999999999744 y[1] (closed_form) = -2.213540088579222 y[1] (numeric) = -2.213540088578901 absolute error = 3.215205879314453e-13 relative error = 1.45251757395465e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.289999999999745 y[1] (closed_form) = -2.2225963532251 y[1] (numeric) = -2.222596353224779 absolute error = 3.206324095117452e-13 relative error = 1.44260296768008e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.279999999999746 y[1] (closed_form) = -2.231623665673013 y[1] (numeric) = -2.231623665672693 absolute error = 3.197442310920451e-13 relative error = 1.432787418462945e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.269999999999747 y[1] (closed_form) = -2.240621956242201 y[1] (numeric) = -2.240621956241883 absolute error = 3.184119634624949e-13 relative error = 1.421087401984184e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.259999999999748 y[1] (closed_form) = -2.249591155423102 y[1] (numeric) = -2.249591155422784 absolute error = 3.179678742526448e-13 relative error = 1.413447387922547e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.249999999999749 y[1] (closed_form) = -2.258531193877975 y[1] (numeric) = -2.258531193877658 absolute error = 3.170796958329447e-13 relative error = 1.4039199312032e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.23999999999975 y[1] (closed_form) = -2.267442002441524 y[1] (numeric) = -2.267442002441209 absolute error = 3.157474282033945e-13 relative error = 1.392527032062587e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.229999999999751 y[1] (closed_form) = -2.276323512121527 y[1] (numeric) = -2.276323512121211 absolute error = 3.157474282033945e-13 relative error = 1.387093822657566e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.219999999999752 y[1] (closed_form) = -2.285175654099445 y[1] (numeric) = -2.28517565409913 absolute error = 3.157474282033945e-13 relative error = 1.381720602689626e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.209999999999753 y[1] (closed_form) = -2.293998359731054 y[1] (numeric) = -2.29399835973074 absolute error = 3.148592497836944e-13 relative error = 1.372534764238489e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.199999999999755 y[1] (closed_form) = -2.302791560547055 y[1] (numeric) = -2.302791560546741 absolute error = 3.144151605738443e-13 relative error = 1.365365263450728e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.189999999999756 y[1] (closed_form) = -2.31155518825369 y[1] (numeric) = -2.311555188253376 absolute error = 3.144151605738443e-13 relative error = 1.36018885541459e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.179999999999757 y[1] (closed_form) = -2.320289174733362 y[1] (numeric) = -2.320289174733049 absolute error = 3.126388037344441e-13 relative error = 1.347413103241199e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.169999999999758 y[1] (closed_form) = -2.328993452045243 y[1] (numeric) = -2.328993452044931 absolute error = 3.11750625314744e-13 relative error = 1.338563769000618e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.159999999999759 y[1] (closed_form) = -2.337667952425889 y[1] (numeric) = -2.337667952425577 absolute error = 3.11750625314744e-13 relative error = 1.333596694052413e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.14999999999976 y[1] (closed_form) = -2.346312608289846 y[1] (numeric) = -2.346312608289535 absolute error = 3.113065361048939e-13 relative error = 1.326790535093256e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.139999999999761 y[1] (closed_form) = -2.354927352230262 y[1] (numeric) = -2.354927352229952 absolute error = 3.095301792654936e-13 relative error = 1.314393749651553e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.129999999999762 y[1] (closed_form) = -2.363512117019492 y[1] (numeric) = -2.363512117019184 absolute error = 3.081979116359435e-13 relative error = 1.303982786534628e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.119999999999763 y[1] (closed_form) = -2.372066835609705 y[1] (numeric) = -2.372066835609397 absolute error = 3.077538224260934e-13 relative error = 1.297407888370016e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.109999999999765 y[1] (closed_form) = -2.380591441133482 y[1] (numeric) = -2.380591441133175 absolute error = 3.064215547965432e-13 relative error = 1.287165657668018e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.099999999999766 y[1] (closed_form) = -2.389085866904423 y[1] (numeric) = -2.389085866904118 absolute error = 3.05089287166993e-13 relative error = 1.277012649035935e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.089999999999767 y[1] (closed_form) = -2.397550046417746 y[1] (numeric) = -2.397550046417442 absolute error = 3.04645197957143e-13 relative error = 1.270652090922243e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.079999999999768 y[1] (closed_form) = -2.405983913350886 y[1] (numeric) = -2.405983913350582 absolute error = 3.042011087472929e-13 relative error = 1.264352213908292e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.069999999999769 y[1] (closed_form) = -2.414387401564091 y[1] (numeric) = -2.414387401563788 absolute error = 3.033129303275928e-13 relative error = 1.256272833974781e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.05999999999977 y[1] (closed_form) = -2.422760445101015 y[1] (numeric) = -2.422760445100713 absolute error = 3.019806626980426e-13 relative error = 1.246432198068397e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.049999999999771 y[1] (closed_form) = -2.431102978189315 y[1] (numeric) = -2.431102978189014 absolute error = 3.010924842783425e-13 relative error = 1.238501564843609e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.039999999999772 y[1] (closed_form) = -2.439414935241244 y[1] (numeric) = -2.439414935240944 absolute error = 3.006483950684924e-13 relative error = 1.232461073863024e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.029999999999773 y[1] (closed_form) = -2.447696250854237 y[1] (numeric) = -2.447696250853938 absolute error = 2.993161274389422e-13 relative error = 1.222848330688426e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.019999999999774 y[1] (closed_form) = -2.455946859811502 y[1] (numeric) = -2.455946859811204 absolute error = 2.988720382290921e-13 relative error = 1.21693202373292e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.009999999999776 y[1] (closed_form) = -2.464166697082608 y[1] (numeric) = -2.46416669708231 absolute error = 2.97983859809392e-13 relative error = 1.20926826972454e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.999999999999777 y[1] (closed_form) = -2.472355697824067 y[1] (numeric) = -2.472355697823771 absolute error = 2.966515921798418e-13 relative error = 1.199874243180002e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.989999999999778 y[1] (closed_form) = -2.480513797379923 y[1] (numeric) = -2.480513797379626 absolute error = 2.966515921798418e-13 relative error = 1.19592800690399e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.979999999999779 y[1] (closed_form) = -2.488640931282325 y[1] (numeric) = -2.488640931282029 absolute error = 2.962075029699918e-13 relative error = 1.190238010018442e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.96999999999978 y[1] (closed_form) = -2.496737035252119 y[1] (numeric) = -2.496737035251823 absolute error = 2.953193245502916e-13 relative error = 1.182821099621613e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.959999999999781 y[1] (closed_form) = -2.504802045199416 y[1] (numeric) = -2.504802045199121 absolute error = 2.944311461305915e-13 relative error = 1.175466726781401e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.949999999999782 y[1] (closed_form) = -2.512835897224174 y[1] (numeric) = -2.51283589722388 absolute error = 2.935429677108914e-13 relative error = 1.16817404604557e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.939999999999783 y[1] (closed_form) = -2.520838527616774 y[1] (numeric) = -2.520838527616481 absolute error = 2.926547892911913e-13 relative error = 1.160942226505361e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.929999999999784 y[1] (closed_form) = -2.528809872858589 y[1] (numeric) = -2.528809872858298 absolute error = 2.90878432451791e-13 relative error = 1.150258212662621e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.919999999999785 y[1] (closed_form) = -2.53674986962256 y[1] (numeric) = -2.536749869622269 absolute error = 2.90434343241941e-13 relative error = 1.144907295432933e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.909999999999787 y[1] (closed_form) = -2.544658454773763 y[1] (numeric) = -2.544658454773473 absolute error = 2.895461648222408e-13 relative error = 1.13785865556556e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.899999999999788 y[1] (closed_form) = -2.552535565369978 y[1] (numeric) = -2.55253556536969 absolute error = 2.882138971926906e-13 relative error = 1.129127840970613e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.889999999999789 y[1] (closed_form) = -2.560381138662259 y[1] (numeric) = -2.560381138661971 absolute error = 2.873257187729905e-13 relative error = 1.122199013398106e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.87999999999979 y[1] (closed_form) = -2.568195112095491 y[1] (numeric) = -2.568195112095204 absolute error = 2.868816295631405e-13 relative error = 1.117055430142387e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.869999999999791 y[1] (closed_form) = -2.575977423308961 y[1] (numeric) = -2.575977423308675 absolute error = 2.864375403532904e-13 relative error = 1.11195671888051e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.859999999999792 y[1] (closed_form) = -2.583728010136915 y[1] (numeric) = -2.58372801013663 absolute error = 2.851052727237402e-13 relative error = 1.103464728505351e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.849999999999793 y[1] (closed_form) = -2.591446810609118 y[1] (numeric) = -2.591446810608833 absolute error = 2.846611835138901e-13 relative error = 1.098464310934403e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.839999999999794 y[1] (closed_form) = -2.599133762951411 y[1] (numeric) = -2.599133762951126 absolute error = 2.846611835138901e-13 relative error = 1.095215596717296e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.829999999999795 y[1] (closed_form) = -2.60678880558627 y[1] (numeric) = -2.606788805585985 absolute error = 2.842170943040401e-13 relative error = 1.090295821797959e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.819999999999796 y[1] (closed_form) = -2.614411877133356 y[1] (numeric) = -2.614411877133072 absolute error = 2.833289158843399e-13 relative error = 1.083719510159982e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.809999999999798 y[1] (closed_form) = -2.622002916410073 y[1] (numeric) = -2.62200291640979 absolute error = 2.828848266744899e-13 relative error = 1.078888299109152e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.799999999999799 y[1] (closed_form) = -2.629561862432112 y[1] (numeric) = -2.62956186243183 absolute error = 2.819966482547898e-13 relative error = 1.072409256780017e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.7899999999998 y[1] (closed_form) = -2.637088654414004 y[1] (numeric) = -2.637088654413723 absolute error = 2.811084698350896e-13 relative error = 1.065980354375138e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.779999999999801 y[1] (closed_form) = -2.644583231769668 y[1] (numeric) = -2.644583231769388 absolute error = 2.802202914153895e-13 relative error = 1.059600953560744e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.769999999999802 y[1] (closed_form) = -2.652045534112953 y[1] (numeric) = -2.652045534112673 absolute error = 2.793321129956894e-13 relative error = 1.053270426177352e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.759999999999803 y[1] (closed_form) = -2.659475501258181 y[1] (numeric) = -2.659475501257903 absolute error = 2.779998453661392e-13 relative error = 1.045318316467361e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.749999999999804 y[1] (closed_form) = -2.666873073220695 y[1] (numeric) = -2.666873073220418 absolute error = 2.76667577736589e-13 relative error = 1.037423117413183e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.739999999999805 y[1] (closed_form) = -2.674238190217391 y[1] (numeric) = -2.674238190217115 absolute error = 2.757793993168889e-13 relative error = 1.0312447123286e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.729999999999806 y[1] (closed_form) = -2.681570792667261 y[1] (numeric) = -2.681570792666986 absolute error = 2.748912208971888e-13 relative error = 1.025112675186041e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.719999999999807 y[1] (closed_form) = -2.688870821191927 y[1] (numeric) = -2.688870821191654 absolute error = 2.735589532676386e-13 relative error = 1.017374844159954e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.709999999999809 y[1] (closed_form) = -2.696138216616178 y[1] (numeric) = -2.696138216615906 absolute error = 2.722266856380884e-13 relative error = 1.009691135121959e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.69999999999981 y[1] (closed_form) = -2.703372919968498 y[1] (numeric) = -2.703372919968226 absolute error = 2.722266856380884e-13 relative error = 1.006989023331863e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.689999999999811 y[1] (closed_form) = -2.710574872481602 y[1] (numeric) = -2.710574872481331 absolute error = 2.713385072183883e-13 relative error = 1.001036754133159e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.679999999999812 y[1] (closed_form) = -2.71774401559296 y[1] (numeric) = -2.71774401559269 absolute error = 2.700062395888381e-13 relative error = 9.934940084117079e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.669999999999813 y[1] (closed_form) = -2.724880290945329 y[1] (numeric) = -2.724880290945059 absolute error = 2.69562150378988e-13 relative error = 9.892623586978574e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.659999999999814 y[1] (closed_form) = -2.731983640387273 y[1] (numeric) = -2.731983640387006 absolute error = 2.668976151198876e-13 relative error = 9.76937091329191e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.649999999999815 y[1] (closed_form) = -2.739054005973693 y[1] (numeric) = -2.739054005973425 absolute error = 2.673417043297377e-13 relative error = 9.76036630700539e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.639999999999816 y[1] (closed_form) = -2.746091329966339 y[1] (numeric) = -2.746091329966073 absolute error = 2.655653474903374e-13 relative error = 9.670666980096132e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.629999999999817 y[1] (closed_form) = -2.75309555483434 y[1] (numeric) = -2.753095554834074 absolute error = 2.655653474903374e-13 relative error = 9.646063574655589e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.619999999999818 y[1] (closed_form) = -2.760066623254715 y[1] (numeric) = -2.760066623254451 absolute error = 2.637889906509372e-13 relative error = 9.557341421703546e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.60999999999982 y[1] (closed_form) = -2.767004478112891 y[1] (numeric) = -2.767004478112628 absolute error = 2.62456723021387e-13 relative error = 9.485229427614937e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.599999999999821 y[1] (closed_form) = -2.773909062503217 y[1] (numeric) = -2.773909062502955 absolute error = 2.620126338115369e-13 relative error = 9.445610072562829e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.589999999999822 y[1] (closed_form) = -2.780780319729475 y[1] (numeric) = -2.780780319729214 absolute error = 2.606803661819868e-13 relative error = 9.374360294931416e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.579999999999823 y[1] (closed_form) = -2.787618193305395 y[1] (numeric) = -2.787618193305134 absolute error = 2.606803661819868e-13 relative error = 9.351365506511034e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.569999999999824 y[1] (closed_form) = -2.794422626955153 y[1] (numeric) = -2.794422626954893 absolute error = 2.597921877622866e-13 relative error = 9.296810913865247e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.559999999999825 y[1] (closed_form) = -2.801193564613892 y[1] (numeric) = -2.801193564613633 absolute error = 2.584599201327364e-13 relative error = 9.226778306138291e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.549999999999826 y[1] (closed_form) = -2.807930950428213 y[1] (numeric) = -2.807930950427955 absolute error = 2.580158309228864e-13 relative error = 9.188823923306898e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.539999999999827 y[1] (closed_form) = -2.814634728756686 y[1] (numeric) = -2.814634728756428 absolute error = 2.575717417130363e-13 relative error = 9.151160506955516e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.529999999999828 y[1] (closed_form) = -2.821304844170346 y[1] (numeric) = -2.82130484417009 absolute error = 2.562394740834861e-13 relative error = 9.082303694085133e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.519999999999829 y[1] (closed_form) = -2.827941241453198 y[1] (numeric) = -2.827941241452942 absolute error = 2.562394740834861e-13 relative error = 9.060990034991391e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.509999999999831 y[1] (closed_form) = -2.834543865602707 y[1] (numeric) = -2.834543865602452 absolute error = 2.549072064539359e-13 relative error = 8.992882754338156e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.499999999999832 y[1] (closed_form) = -2.841112661830297 y[1] (numeric) = -2.841112661830042 absolute error = 2.544631172440859e-13 relative error = 8.956459934262377e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.489999999999833 y[1] (closed_form) = -2.847647575561842 y[1] (numeric) = -2.847647575561588 absolute error = 2.535749388243858e-13 relative error = 8.904716335003476e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.479999999999834 y[1] (closed_form) = -2.854148552438159 y[1] (numeric) = -2.854148552437906 absolute error = 2.522426711948356e-13 relative error = 8.837755518343887e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.469999999999835 y[1] (closed_form) = -2.860615538315497 y[1] (numeric) = -2.860615538315246 absolute error = 2.509104035652854e-13 relative error = 8.771203267428119e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.459999999999836 y[1] (closed_form) = -2.867048479266025 y[1] (numeric) = -2.867048479265775 absolute error = 2.504663143554353e-13 relative error = 8.736033456244716e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.449999999999837 y[1] (closed_form) = -2.873447321578313 y[1] (numeric) = -2.873447321578064 absolute error = 2.495781359357352e-13 relative error = 8.685669441771709e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.439999999999838 y[1] (closed_form) = -2.879812011757822 y[1] (numeric) = -2.879812011757573 absolute error = 2.491340467258851e-13 relative error = 8.651052419696488e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.429999999999839 y[1] (closed_form) = -2.886142496527377 y[1] (numeric) = -2.88614249652713 absolute error = 2.478017790963349e-13 relative error = 8.585916301585643e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.419999999999841 y[1] (closed_form) = -2.892438722827659 y[1] (numeric) = -2.892438722827412 absolute error = 2.473576898864849e-13 relative error = 8.551873128177009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.409999999999842 y[1] (closed_form) = -2.898700637817669 y[1] (numeric) = -2.898700637817422 absolute error = 2.464695114667848e-13 relative error = 8.502758382540086e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.399999999999843 y[1] (closed_form) = -2.904928188875211 y[1] (numeric) = -2.904928188874965 absolute error = 2.460254222569347e-13 relative error = 8.469242826694307e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.389999999999844 y[1] (closed_form) = -2.911121323597365 y[1] (numeric) = -2.911121323597121 absolute error = 2.446931546273845e-13 relative error = 8.405460557205817e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.379999999999845 y[1] (closed_form) = -2.917279989800959 y[1] (numeric) = -2.917279989800716 absolute error = 2.429167977879843e-13 relative error = 8.32682494094638e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.369999999999846 y[1] (closed_form) = -2.923404135523035 y[1] (numeric) = -2.923404135522793 absolute error = 2.420286193682841e-13 relative error = 8.278999691740605e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.359999999999847 y[1] (closed_form) = -2.92949370902132 y[1] (numeric) = -2.929493709021079 absolute error = 2.415845301584341e-13 relative error = 8.246630788606205e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.349999999999848 y[1] (closed_form) = -2.935548658774692 y[1] (numeric) = -2.935548658774452 absolute error = 2.398081733190338e-13 relative error = 8.169109123850484e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.339999999999849 y[1] (closed_form) = -2.941568933483641 y[1] (numeric) = -2.941568933483401 absolute error = 2.393640841091838e-13 relative error = 8.137293040612503e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.32999999999985 y[1] (closed_form) = -2.947554482070733 y[1] (numeric) = -2.947554482070494 absolute error = 2.384759056894836e-13 relative error = 8.090636055756573e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.319999999999852 y[1] (closed_form) = -2.95350525368107 y[1] (numeric) = -2.953505253680832 absolute error = 2.384759056894836e-13 relative error = 8.074334907387136e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.309999999999853 y[1] (closed_form) = -2.959421197682744 y[1] (numeric) = -2.959421197682506 absolute error = 2.375877272697835e-13 relative error = 8.028182249144428e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.299999999999854 y[1] (closed_form) = -2.965302263667298 y[1] (numeric) = -2.965302263667061 absolute error = 2.366995488500834e-13 relative error = 7.982307630162074e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.289999999999855 y[1] (closed_form) = -2.971148401450174 y[1] (numeric) = -2.971148401449938 absolute error = 2.362554596402333e-13 relative error = 7.951654637140322e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.279999999999856 y[1] (closed_form) = -2.976959561071172 y[1] (numeric) = -2.976959561070936 absolute error = 2.353672812205332e-13 relative error = 7.906297562733541e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.269999999999857 y[1] (closed_form) = -2.98273569279489 y[1] (numeric) = -2.982735692794655 absolute error = 2.349231920106831e-13 relative error = 7.876098193284931e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.259999999999858 y[1] (closed_form) = -2.988476747111182 y[1] (numeric) = -2.988476747110949 absolute error = 2.331468351712829e-13 relative error = 7.801527497132271e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.249999999999859 y[1] (closed_form) = -2.994182674735594 y[1] (numeric) = -2.994182674735362 absolute error = 2.318145675417327e-13 relative error = 7.742165149031979e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.23999999999986 y[1] (closed_form) = -2.999853426609816 y[1] (numeric) = -2.999853426609584 absolute error = 2.313704783318826e-13 relative error = 7.712726104533656e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.229999999999861 y[1] (closed_form) = -3.005488953902117 y[1] (numeric) = -3.005488953901886 absolute error = 2.304822999121825e-13 relative error = 7.66871226104293e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.219999999999863 y[1] (closed_form) = -3.011089208007787 y[1] (numeric) = -3.011089208007557 absolute error = 2.300382107023324e-13 relative error = 7.639700945776082e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.209999999999864 y[1] (closed_form) = -3.016654140549577 y[1] (numeric) = -3.016654140549347 absolute error = 2.295941214924824e-13 relative error = 7.610886458818734e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.199999999999865 y[1] (closed_form) = -3.022183703378128 y[1] (numeric) = -3.0221837033779 absolute error = 2.287059430727822e-13 relative error = 7.56757250782406e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.189999999999866 y[1] (closed_form) = -3.027677848572413 y[1] (numeric) = -3.027677848572185 absolute error = 2.278177646530821e-13 relative error = 7.524504787076372e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.179999999999867 y[1] (closed_form) = -3.03313652844016 y[1] (numeric) = -3.033136528439933 absolute error = 2.273736754432321e-13 relative error = 7.496321821034634e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.169999999999868 y[1] (closed_form) = -3.038559695518285 y[1] (numeric) = -3.038559695518058 absolute error = 2.264854970235319e-13 relative error = 7.453712275509547e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.159999999999869 y[1] (closed_form) = -3.04394730257332 y[1] (numeric) = -3.043947302573094 absolute error = 2.260414078136819e-13 relative error = 7.425930390535634e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.14999999999987 y[1] (closed_form) = -3.049299302601839 y[1] (numeric) = -3.049299302601612 absolute error = 2.264854970235319e-13 relative error = 7.427460362132421e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.139999999999871 y[1] (closed_form) = -3.054615648830873 y[1] (numeric) = -3.054615648830647 absolute error = 2.260414078136819e-13 relative error = 7.39999508285755e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.129999999999872 y[1] (closed_form) = -3.059896294718344 y[1] (numeric) = -3.059896294718119 absolute error = 2.251532293939817e-13 relative error = 7.358198046862453e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.119999999999874 y[1] (closed_form) = -3.065141193953472 y[1] (numeric) = -3.065141193953247 absolute error = 2.247091401841317e-13 relative error = 7.331118730432707e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.109999999999875 y[1] (closed_form) = -3.070350300457199 y[1] (numeric) = -3.070350300456974 absolute error = 2.247091401841317e-13 relative error = 7.318680873341088e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.099999999999876 y[1] (closed_form) = -3.075523568382601 y[1] (numeric) = -3.075523568382378 absolute error = 2.233768725545815e-13 relative error = 7.26305188654607e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.089999999999877 y[1] (closed_form) = -3.080660952115301 y[1] (numeric) = -3.080660952115079 absolute error = 2.220446049250313e-13 relative error = 7.207693685751653e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.079999999999878 y[1] (closed_form) = -3.085762406273878 y[1] (numeric) = -3.085762406273657 absolute error = 2.216005157151812e-13 relative error = 7.181386203442942e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.069999999999879 y[1] (closed_form) = -3.090827885710281 y[1] (numeric) = -3.09082788571006 absolute error = 2.211564265053312e-13 relative error = 7.155248842156374e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.05999999999988 y[1] (closed_form) = -3.095857345510226 y[1] (numeric) = -3.095857345510006 absolute error = 2.207123372954811e-13 relative error = 7.129279959090158e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.049999999999881 y[1] (closed_form) = -3.10085074099361 y[1] (numeric) = -3.10085074099339 absolute error = 2.202682480856311e-13 relative error = 7.103477931835254e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.039999999999882 y[1] (closed_form) = -3.105808027714908 y[1] (numeric) = -3.105808027714687 absolute error = 2.207123372954811e-13 relative error = 7.106438496067311e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.029999999999883 y[1] (closed_form) = -3.11072916146357 y[1] (numeric) = -3.11072916146335 absolute error = 2.202682480856311e-13 relative error = 7.080920152559885e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.019999999999885 y[1] (closed_form) = -3.115614098264427 y[1] (numeric) = -3.115614098264207 absolute error = 2.193800696659309e-13 relative error = 7.041310725488694e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.009999999999886 y[1] (closed_form) = -3.12046279437808 y[1] (numeric) = -3.120462794377861 absolute error = 2.189359804560809e-13 relative error = 7.016138146255822e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.999999999999887 y[1] (closed_form) = -3.125275206301297 y[1] (numeric) = -3.125275206301079 absolute error = 2.176037128265307e-13 relative error = 6.96270563270044e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.989999999999888 y[1] (closed_form) = -3.130051290767403 y[1] (numeric) = -3.130051290767185 absolute error = 2.176037128265307e-13 relative error = 6.952081375419897e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.979999999999889 y[1] (closed_form) = -3.134791004746669 y[1] (numeric) = -3.134791004746452 absolute error = 2.167155344068306e-13 relative error = 6.913237089129135e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.96999999999989 y[1] (closed_form) = -3.139494305446703 y[1] (numeric) = -3.139494305446486 absolute error = 2.167155344068306e-13 relative error = 6.902880315178504e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.959999999999891 y[1] (closed_form) = -3.14416115031283 y[1] (numeric) = -3.144161150312614 absolute error = 2.162714451969805e-13 relative error = 6.878510192629994e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.949999999999892 y[1] (closed_form) = -3.148791497028478 y[1] (numeric) = -3.148791497028262 absolute error = 2.153832667772804e-13 relative error = 6.840188274788537e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.939999999999893 y[1] (closed_form) = -3.153385303515557 y[1] (numeric) = -3.153385303515343 absolute error = 2.144950883575802e-13 relative error = 6.802057716145566e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.929999999999894 y[1] (closed_form) = -3.157942527934841 y[1] (numeric) = -3.157942527934627 absolute error = 2.140509991477302e-13 relative error = 6.778179059759847e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.919999999999896 y[1] (closed_form) = -3.162463128686342 y[1] (numeric) = -3.162463128686128 absolute error = 2.144950883575802e-13 relative error = 6.782532463759649e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.909999999999897 y[1] (closed_form) = -3.166947064409684 y[1] (numeric) = -3.16694706440947 absolute error = 2.136069099378801e-13 relative error = 6.744884129526689e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.899999999999898 y[1] (closed_form) = -3.171394293984475 y[1] (numeric) = -3.171394293984263 absolute error = 2.1271873151818e-13 relative error = 6.707419885369236e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.889999999999899 y[1] (closed_form) = -3.175804776530681 y[1] (numeric) = -3.175804776530469 absolute error = 2.122746423083299e-13 relative error = 6.684121262019872e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.8799999999999 y[1] (closed_form) = -3.180178471408989 y[1] (numeric) = -3.180178471408776 absolute error = 2.1271873151818e-13 relative error = 6.688892885434012e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.869999999999901 y[1] (closed_form) = -3.184515338221175 y[1] (numeric) = -3.184515338220963 absolute error = 2.122746423083299e-13 relative error = 6.665838275626065e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.859999999999902 y[1] (closed_form) = -3.188815336810468 y[1] (numeric) = -3.188815336810257 absolute error = 2.113864638886298e-13 relative error = 6.628996713872549e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.849999999999903 y[1] (closed_form) = -3.193078427261911 y[1] (numeric) = -3.1930784272617 absolute error = 2.118305530984799e-13 relative error = 6.6340541870162e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.839999999999904 y[1] (closed_form) = -3.19730456990272 y[1] (numeric) = -3.197304569902509 absolute error = 2.118305530984799e-13 relative error = 6.625285407355637e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.829999999999905 y[1] (closed_form) = -3.20149372530264 y[1] (numeric) = -3.201493725302429 absolute error = 2.113864638886298e-13 relative error = 6.602744906790259e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.819999999999907 y[1] (closed_form) = -3.205645854274302 y[1] (numeric) = -3.205645854274092 absolute error = 2.104982854689297e-13 relative error = 6.566485976242766e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.809999999999908 y[1] (closed_form) = -3.209760917873576 y[1] (numeric) = -3.209760917873365 absolute error = 2.104982854689297e-13 relative error = 6.558067434143414e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.799999999999909 y[1] (closed_form) = -3.213838877399915 y[1] (numeric) = -3.213838877399704 absolute error = 2.104982854689297e-13 relative error = 6.549746066897687e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.78999999999991 y[1] (closed_form) = -3.217879694396715 y[1] (numeric) = -3.217879694396505 absolute error = 2.100541962590796e-13 relative error = 6.527720617549699e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.779999999999911 y[1] (closed_form) = -3.221883330651652 y[1] (numeric) = -3.221883330651442 absolute error = 2.100541962590796e-13 relative error = 6.519609020621938e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.769999999999912 y[1] (closed_form) = -3.225849748197026 y[1] (numeric) = -3.225849748196817 absolute error = 2.096101070492296e-13 relative error = 6.497826105086997e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.759999999999913 y[1] (closed_form) = -3.229778909310109 y[1] (numeric) = -3.2297789093099 absolute error = 2.087219286295294e-13 relative error = 6.462421561670086e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.749999999999914 y[1] (closed_form) = -3.233670776513478 y[1] (numeric) = -3.23367077651327 absolute error = 2.082778394196794e-13 relative error = 6.440910464120998e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.739999999999915 y[1] (closed_form) = -3.237525312575359 y[1] (numeric) = -3.23752531257515 absolute error = 2.091660178393795e-13 relative error = 6.460675906592184e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.729999999999916 y[1] (closed_form) = -3.24134248050995 y[1] (numeric) = -3.241342480509743 absolute error = 2.078337502098293e-13 relative error = 6.411965148993804e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.719999999999918 y[1] (closed_form) = -3.245122243577772 y[1] (numeric) = -3.245122243577564 absolute error = 2.082778394196794e-13 relative error = 6.418181621104401e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.709999999999919 y[1] (closed_form) = -3.248864565285983 y[1] (numeric) = -3.248864565285774 absolute error = 2.082778394196794e-13 relative error = 6.410788607352909e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.69999999999992 y[1] (closed_form) = -3.252569409388713 y[1] (numeric) = -3.252569409388506 absolute error = 2.078337502098293e-13 relative error = 6.389832899796272e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.689999999999921 y[1] (closed_form) = -3.256236739887395 y[1] (numeric) = -3.256236739887188 absolute error = 2.073896609999792e-13 relative error = 6.368998250635518e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.679999999999922 y[1] (closed_form) = -3.25986652103108 y[1] (numeric) = -3.259866521030872 absolute error = 2.078337502098293e-13 relative error = 6.375529454012506e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.669999999999923 y[1] (closed_form) = -3.263458717316764 y[1] (numeric) = -3.263458717316556 absolute error = 2.078337502098293e-13 relative error = 6.368511699167793e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.659999999999924 y[1] (closed_form) = -3.267013293489707 y[1] (numeric) = -3.267013293489501 absolute error = 2.065014825802791e-13 relative error = 6.320803254513286e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.649999999999925 y[1] (closed_form) = -3.27053021454375 y[1] (numeric) = -3.270530214543544 absolute error = 2.060573933704291e-13 relative error = 6.300427754928256e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.639999999999926 y[1] (closed_form) = -3.27400944572163 y[1] (numeric) = -3.274009445721424 absolute error = 2.060573933704291e-13 relative error = 6.293732403237205e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.629999999999928 y[1] (closed_form) = -3.277450952515292 y[1] (numeric) = -3.277450952515086 absolute error = 2.051692149507289e-13 relative error = 6.260023961404246e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.619999999999929 y[1] (closed_form) = -3.2808547006662 y[1] (numeric) = -3.280854700665995 absolute error = 2.047251257408789e-13 relative error = 6.23999367296906e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.60999999999993 y[1] (closed_form) = -3.284220656165647 y[1] (numeric) = -3.284220656165441 absolute error = 2.051692149507289e-13 relative error = 6.247120289118015e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.599999999999931 y[1] (closed_form) = -3.287548785255057 y[1] (numeric) = -3.287548785254852 absolute error = 2.047251257408789e-13 relative error = 6.227287840079786e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.589999999999932 y[1] (closed_form) = -3.290839054426296 y[1] (numeric) = -3.29083905442609 absolute error = 2.051692149507289e-13 relative error = 6.234556341330915e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.579999999999933 y[1] (closed_form) = -3.294091430421964 y[1] (numeric) = -3.29409143042176 absolute error = 2.042810365310288e-13 relative error = 6.201437963877674e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.569999999999934 y[1] (closed_form) = -3.297305880235704 y[1] (numeric) = -3.297305880235499 absolute error = 2.042810365310288e-13 relative error = 6.195392358212943e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.559999999999935 y[1] (closed_form) = -3.30048237111249 y[1] (numeric) = -3.300482371112287 absolute error = 2.033928581113287e-13 relative error = 6.162519148459238e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.549999999999936 y[1] (closed_form) = -3.30362087054893 y[1] (numeric) = -3.303620870548728 absolute error = 2.025046796916286e-13 relative error = 6.129779645628051e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.539999999999937 y[1] (closed_form) = -3.306721346293553 y[1] (numeric) = -3.306721346293351 absolute error = 2.016165012719284e-13 relative error = 6.09717240002448e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.529999999999939 y[1] (closed_form) = -3.309783766347102 y[1] (numeric) = -3.309783766346899 absolute error = 2.025046796916286e-13 relative error = 6.118365850682935e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.51999999999994 y[1] (closed_form) = -3.312808098962817 y[1] (numeric) = -3.312808098962616 absolute error = 2.016165012719284e-13 relative error = 6.08596982526851e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.509999999999941 y[1] (closed_form) = -3.315794312646733 y[1] (numeric) = -3.315794312646531 absolute error = 2.025046796916286e-13 relative error = 6.107275077928018e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.499999999999942 y[1] (closed_form) = -3.318742376157947 y[1] (numeric) = -3.318742376157745 absolute error = 2.020605904817785e-13 relative error = 6.088468690230204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.489999999999943 y[1] (closed_form) = -3.321652258508911 y[1] (numeric) = -3.32165225850871 absolute error = 2.011724120620784e-13 relative error = 6.056395926055926e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.479999999999944 y[1] (closed_form) = -3.324523928965708 y[1] (numeric) = -3.324523928965507 absolute error = 2.007283228522283e-13 relative error = 6.037806529329956e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.469999999999945 y[1] (closed_form) = -3.327357357048326 y[1] (numeric) = -3.327357357048125 absolute error = 2.007283228522283e-13 relative error = 6.032665004467476e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.459999999999946 y[1] (closed_form) = -3.330152512530935 y[1] (numeric) = -3.330152512530735 absolute error = 1.998401444325282e-13 relative error = 6.000930698535741e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.449999999999947 y[1] (closed_form) = -3.332909365442158 y[1] (numeric) = -3.332909365441958 absolute error = 1.993960552226781e-13 relative error = 5.982642591189256e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.439999999999948 y[1] (closed_form) = -3.335627886065341 y[1] (numeric) = -3.335627886065142 absolute error = 1.98507876802978e-13 relative error = 5.951139742902649e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.42999999999995 y[1] (closed_form) = -3.338308044938821 y[1] (numeric) = -3.338308044938622 absolute error = 1.989519660128281e-13 relative error = 5.959664696445774e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.419999999999951 y[1] (closed_form) = -3.34094981285619 y[1] (numeric) = -3.340949812855991 absolute error = 1.993960552226781e-13 relative error = 5.968244552952853e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.409999999999952 y[1] (closed_form) = -3.343553160866558 y[1] (numeric) = -3.343553160866359 absolute error = 1.993960552226781e-13 relative error = 5.963597575071905e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.399999999999953 y[1] (closed_form) = -3.346118060274815 y[1] (numeric) = -3.346118060274616 absolute error = 1.989519660128281e-13 relative error = 5.94575452596219e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.389999999999954 y[1] (closed_form) = -3.348644482641887 y[1] (numeric) = -3.348644482641688 absolute error = 1.993960552226781e-13 relative error = 5.954530445267398e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.379999999999955 y[1] (closed_form) = -3.351132399784994 y[1] (numeric) = -3.351132399784795 absolute error = 1.989519660128281e-13 relative error = 5.936857822316798e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.369999999999956 y[1] (closed_form) = -3.353581783777904 y[1] (numeric) = -3.353581783777706 absolute error = 1.980637875931279e-13 relative error = 5.906037197339602e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.359999999999957 y[1] (closed_form) = -3.355992606951179 y[1] (numeric) = -3.355992606950981 absolute error = 1.98507876802978e-13 relative error = 5.915027237897183e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.349999999999958 y[1] (closed_form) = -3.358364841892433 y[1] (numeric) = -3.358364841892234 absolute error = 1.989519660128281e-13 relative error = 5.92407243939342e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.339999999999959 y[1] (closed_form) = -3.360698461446572 y[1] (numeric) = -3.360698461446373 absolute error = 1.989519660128281e-13 relative error = 5.919958850672713e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.329999999999961 y[1] (closed_form) = -3.36299343871604 y[1] (numeric) = -3.362993438715841 absolute error = 1.989519660128281e-13 relative error = 5.915918946567618e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.319999999999962 y[1] (closed_form) = -3.365249747061061 y[1] (numeric) = -3.365249747060862 absolute error = 1.989519660128281e-13 relative error = 5.911952483959823e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.309999999999963 y[1] (closed_form) = -3.367467360099879 y[1] (numeric) = -3.367467360099681 absolute error = 1.980637875931279e-13 relative error = 5.881683960472102e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.299999999999964 y[1] (closed_form) = -3.369646251708998 y[1] (numeric) = -3.3696462517088 absolute error = 1.98507876802978e-13 relative error = 5.891059831645528e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.289999999999965 y[1] (closed_form) = -3.371786396023412 y[1] (numeric) = -3.371786396023215 absolute error = 1.976196983832779e-13 relative error = 5.860979171644587e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.279999999999966 y[1] (closed_form) = -3.373887767436842 y[1] (numeric) = -3.373887767436644 absolute error = 1.976196983832779e-13 relative error = 5.857328755586036e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.269999999999967 y[1] (closed_form) = -3.375950340601964 y[1] (numeric) = -3.375950340601766 absolute error = 1.976196983832779e-13 relative error = 5.853750157593859e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.259999999999968 y[1] (closed_form) = -3.377974090430637 y[1] (numeric) = -3.377974090430439 absolute error = 1.976196983832779e-13 relative error = 5.850243166254853e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.249999999999969 y[1] (closed_form) = -3.379958992094132 y[1] (numeric) = -3.379958992093935 absolute error = 1.976196983832779e-13 relative error = 5.846807575048062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.23999999999997 y[1] (closed_form) = -3.381905021023354 y[1] (numeric) = -3.381905021023157 absolute error = 1.976196983832779e-13 relative error = 5.843443182312634e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.229999999999972 y[1] (closed_form) = -3.383812152909059 y[1] (numeric) = -3.383812152908862 absolute error = 1.971756091734278e-13 relative error = 5.827025859101432e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.219999999999973 y[1] (closed_form) = -3.385680363702079 y[1] (numeric) = -3.385680363701882 absolute error = 1.967315199635777e-13 relative error = 5.810693829008161e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.209999999999974 y[1] (closed_form) = -3.387509629613534 y[1] (numeric) = -3.387509629613338 absolute error = 1.962874307537277e-13 relative error = 5.794446428662146e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.199999999999975 y[1] (closed_form) = -3.389299927115049 y[1] (numeric) = -3.389299927114853 absolute error = 1.953992523340276e-13 relative error = 5.765180318531155e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.189999999999976 y[1] (closed_form) = -3.391051232938963 y[1] (numeric) = -3.391051232938767 absolute error = 1.958433415438776e-13 relative error = 5.775298811222728e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.179999999999977 y[1] (closed_form) = -3.392763524078542 y[1] (numeric) = -3.392763524078346 absolute error = 1.958433415438776e-13 relative error = 5.772384080233464e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.169999999999978 y[1] (closed_form) = -3.394436777788183 y[1] (numeric) = -3.394436777787987 absolute error = 1.958433415438776e-13 relative error = 5.769538641149454e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.159999999999979 y[1] (closed_form) = -3.396070971583618 y[1] (numeric) = -3.396070971583423 absolute error = 1.949551631241775e-13 relative error = 5.740609214455496e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.14999999999998 y[1] (closed_form) = -3.397666083242121 y[1] (numeric) = -3.397666083241927 absolute error = 1.945110739143274e-13 relative error = 5.724843735342028e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.139999999999981 y[1] (closed_form) = -3.399222090802703 y[1] (numeric) = -3.399222090802509 absolute error = 1.945110739143274e-13 relative error = 5.722223165135849e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.129999999999983 y[1] (closed_form) = -3.400738972566312 y[1] (numeric) = -3.400738972566118 absolute error = 1.936228954946273e-13 relative error = 5.693553579283181e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.119999999999984 y[1] (closed_form) = -3.402216707096028 y[1] (numeric) = -3.402216707095834 absolute error = 1.936228954946273e-13 relative error = 5.691080614905765e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.109999999999985 y[1] (closed_form) = -3.403655273217256 y[1] (numeric) = -3.403655273217063 absolute error = 1.931788062847772e-13 relative error = 5.675627840600254e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.099999999999986 y[1] (closed_form) = -3.405054650017918 y[1] (numeric) = -3.405054650017725 absolute error = 1.931788062847772e-13 relative error = 5.673295325341128e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.089999999999987 y[1] (closed_form) = -3.406414816848637 y[1] (numeric) = -3.406414816848444 absolute error = 1.927347170749272e-13 relative error = 5.657993152261799e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.079999999999988 y[1] (closed_form) = -3.407735753322927 y[1] (numeric) = -3.407735753322735 absolute error = 1.922906278650771e-13 relative error = 5.642768154120285e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.069999999999989 y[1] (closed_form) = -3.409017439317376 y[1] (numeric) = -3.409017439317184 absolute error = 1.918465386552271e-13 relative error = 5.62761974880488e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.05999999999999 y[1] (closed_form) = -3.410259854971823 y[1] (numeric) = -3.410259854971631 absolute error = 1.918465386552271e-13 relative error = 5.625569511236328e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.049999999999991 y[1] (closed_form) = -3.411462980689542 y[1] (numeric) = -3.41146298068935 absolute error = 1.918465386552271e-13 relative error = 5.623585533279041e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.039999999999992 y[1] (closed_form) = -3.412626797137418 y[1] (numeric) = -3.412626797137226 absolute error = 1.922906278650771e-13 relative error = 5.634680827870615e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.029999999999994 y[1] (closed_form) = -3.413751285246116 y[1] (numeric) = -3.413751285245925 absolute error = 1.91402449445377e-13 relative error = 5.606807100230143e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.019999999999995 y[1] (closed_form) = -3.414836426210256 y[1] (numeric) = -3.414836426210066 absolute error = 1.905142710256769e-13 relative error = 5.579016012696903e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.009999999999996 y[1] (closed_form) = -3.415882201488586 y[1] (numeric) = -3.415882201488395 absolute error = 1.905142710256769e-13 relative error = 5.57730799213901e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9999999999999968 y[1] (closed_form) = -3.416888592804139 y[1] (numeric) = -3.416888592803949 absolute error = 1.900701818158268e-13 relative error = 5.562668394167392e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9899999999999968 y[1] (closed_form) = -3.417855582144409 y[1] (numeric) = -3.417855582144219 absolute error = 1.900701818158268e-13 relative error = 5.561094588337584e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9799999999999968 y[1] (closed_form) = -3.418783151761505 y[1] (numeric) = -3.418783151761315 absolute error = 1.896260926059767e-13 relative error = 5.546596089555232e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9699999999999968 y[1] (closed_form) = -3.419671284172312 y[1] (numeric) = -3.419671284172123 absolute error = 1.896260926059767e-13 relative error = 5.545155567543777e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9599999999999967 y[1] (closed_form) = -3.420519962158654 y[1] (numeric) = -3.420519962158464 absolute error = 1.900701818158268e-13 relative error = 5.556762829002042e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9499999999999967 y[1] (closed_form) = -3.421329168767439 y[1] (numeric) = -3.421329168767249 absolute error = 1.900701818158268e-13 relative error = 5.5554485534726e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9399999999999967 y[1] (closed_form) = -3.422098887310821 y[1] (numeric) = -3.42209888731063 absolute error = 1.909583602355269e-13 relative error = 5.580153190300916e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9299999999999967 y[1] (closed_form) = -3.422829101366346 y[1] (numeric) = -3.422829101366154 absolute error = 1.91402449445377e-13 relative error = 5.591937072434373e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9199999999999967 y[1] (closed_form) = -3.423519794777099 y[1] (numeric) = -3.423519794776907 absolute error = 1.91402449445377e-13 relative error = 5.590808901919581e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9099999999999967 y[1] (closed_form) = -3.424170951651851 y[1] (numeric) = -3.42417095165166 absolute error = 1.909583602355269e-13 relative error = 5.576776479089249e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8999999999999967 y[1] (closed_form) = -3.424782556365202 y[1] (numeric) = -3.424782556365011 absolute error = 1.909583602355269e-13 relative error = 5.575780566874741e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8899999999999967 y[1] (closed_form) = -3.425354593557723 y[1] (numeric) = -3.425354593557532 absolute error = 1.905142710256769e-13 relative error = 5.561884640614694e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8799999999999967 y[1] (closed_form) = -3.425887048136087 y[1] (numeric) = -3.425887048135897 absolute error = 1.905142710256769e-13 relative error = 5.561020207287027e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8699999999999967 y[1] (closed_form) = -3.426379905273218 y[1] (numeric) = -3.426379905273027 absolute error = 1.909583602355269e-13 relative error = 5.573181185823585e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8599999999999967 y[1] (closed_form) = -3.426833150408409 y[1] (numeric) = -3.426833150408217 absolute error = 1.91402449445377e-13 relative error = 5.585403229292495e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8499999999999966 y[1] (closed_form) = -3.427246769247466 y[1] (numeric) = -3.427246769247275 absolute error = 1.918465386552271e-13 relative error = 5.597686760599136e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8399999999999966 y[1] (closed_form) = -3.427620747762831 y[1] (numeric) = -3.427620747762639 absolute error = 1.918465386552271e-13 relative error = 5.597076011995875e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8299999999999966 y[1] (closed_form) = -3.427955072193706 y[1] (numeric) = -3.427955072193515 absolute error = 1.909583602355269e-13 relative error = 5.570620274008547e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8199999999999966 y[1] (closed_form) = -3.428249729046183 y[1] (numeric) = -3.428249729045991 absolute error = 1.91402449445377e-13 relative error = 5.583095298563023e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8099999999999966 y[1] (closed_form) = -3.428504705093358 y[1] (numeric) = -3.428504705093167 absolute error = 1.909583602355269e-13 relative error = 5.569727232744957e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7999999999999966 y[1] (closed_form) = -3.428719987375457 y[1] (numeric) = -3.428719987375267 absolute error = 1.909583602355269e-13 relative error = 5.569377521017621e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7899999999999966 y[1] (closed_form) = -3.428895563199951 y[1] (numeric) = -3.42889556319976 absolute error = 1.909583602355269e-13 relative error = 5.569092342296909e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7799999999999966 y[1] (closed_form) = -3.429031420141665 y[1] (numeric) = -3.429031420141474 absolute error = 1.909583602355269e-13 relative error = 5.568871696942276e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7699999999999966 y[1] (closed_form) = -3.429127546042895 y[1] (numeric) = -3.429127546042704 absolute error = 1.91402449445377e-13 relative error = 5.581666090730552e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7599999999999966 y[1] (closed_form) = -3.429183929013519 y[1] (numeric) = -3.429183929013328 absolute error = 1.909583602355269e-13 relative error = 5.568624028004831e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7499999999999966 y[1] (closed_form) = -3.429200557431097 y[1] (numeric) = -3.429200557430907 absolute error = 1.905142710256769e-13 relative error = 5.555646799742621e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7399999999999965 y[1] (closed_form) = -3.429177419940983 y[1] (numeric) = -3.429177419940792 absolute error = 1.909583602355269e-13 relative error = 5.568634598055104e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7299999999999965 y[1] (closed_form) = -3.429114505456422 y[1] (numeric) = -3.429114505456231 absolute error = 1.905142710256769e-13 relative error = 5.555786216019609e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7199999999999965 y[1] (closed_form) = -3.429011803158653 y[1] (numeric) = -3.429011803158462 absolute error = 1.909583602355269e-13 relative error = 5.568903555818169e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7099999999999965 y[1] (closed_form) = -3.428869302497005 y[1] (numeric) = -3.428869302496813 absolute error = 1.918465386552271e-13 relative error = 5.595037947801589e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6999999999999965 y[1] (closed_form) = -3.428686993188989 y[1] (numeric) = -3.428686993188797 absolute error = 1.918465386552271e-13 relative error = 5.595335445793855e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6899999999999965 y[1] (closed_form) = -3.4284648652204 y[1] (numeric) = -3.428464865220207 absolute error = 1.927347170749272e-13 relative error = 5.621603972964651e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6799999999999965 y[1] (closed_form) = -3.428202908845395 y[1] (numeric) = -3.428202908845202 absolute error = 1.927347170749272e-13 relative error = 5.62203353184364e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6699999999999965 y[1] (closed_form) = -3.427901114586589 y[1] (numeric) = -3.427901114586396 absolute error = 1.927347170749272e-13 relative error = 5.622528498701204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6599999999999965 y[1] (closed_form) = -3.427559473235136 y[1] (numeric) = -3.427559473234945 absolute error = 1.918465386552271e-13 relative error = 5.597176071000477e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6499999999999965 y[1] (closed_form) = -3.427177975850817 y[1] (numeric) = -3.427177975850626 absolute error = 1.918465386552271e-13 relative error = 5.597799122398947e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6399999999999965 y[1] (closed_form) = -3.426756613762114 y[1] (numeric) = -3.426756613761921 absolute error = 1.927347170749272e-13 relative error = 5.624406364341429e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6299999999999965 y[1] (closed_form) = -3.426295378566291 y[1] (numeric) = -3.426295378566099 absolute error = 1.918465386552271e-13 relative error = 5.599241088650794e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6199999999999964 y[1] (closed_form) = -3.425794262129473 y[1] (numeric) = -3.425794262129281 absolute error = 1.922906278650771e-13 relative error = 5.613023233495327e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6099999999999964 y[1] (closed_form) = -3.425253256586712 y[1] (numeric) = -3.42525325658652 absolute error = 1.918465386552271e-13 relative error = 5.60094463924117e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5999999999999964 y[1] (closed_form) = -3.424672354342064 y[1] (numeric) = -3.424672354341873 absolute error = 1.91402449445377e-13 relative error = 5.588927337901454e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5899999999999964 y[1] (closed_form) = -3.424051548068656 y[1] (numeric) = -3.424051548068464 absolute error = 1.91402449445377e-13 relative error = 5.58994065242207e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5799999999999964 y[1] (closed_form) = -3.423390830708748 y[1] (numeric) = -3.423390830708556 absolute error = 1.918465386552271e-13 relative error = 5.60399171880439e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5699999999999964 y[1] (closed_form) = -3.422690195473802 y[1] (numeric) = -3.422690195473611 absolute error = 1.909583602355269e-13 relative error = 5.579189156180483e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5599999999999964 y[1] (closed_form) = -3.42194963584454 y[1] (numeric) = -3.421949635844349 absolute error = 1.909583602355269e-13 relative error = 5.580396573791135e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5499999999999964 y[1] (closed_form) = -3.421169145571004 y[1] (numeric) = -3.421169145570812 absolute error = 1.91402449445377e-13 relative error = 5.594650287699568e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5399999999999964 y[1] (closed_form) = -3.42034871867261 y[1] (numeric) = -3.420348718672418 absolute error = 1.91402449445377e-13 relative error = 5.595992256592411e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5299999999999964 y[1] (closed_form) = -3.419488349438204 y[1] (numeric) = -3.419488349438012 absolute error = 1.918465386552271e-13 relative error = 5.610387258279326e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5199999999999964 y[1] (closed_form) = -3.418588032426114 y[1] (numeric) = -3.418588032425923 absolute error = 1.918465386552271e-13 relative error = 5.611864806040311e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5099999999999963 y[1] (closed_form) = -3.417647762464198 y[1] (numeric) = -3.417647762464006 absolute error = 1.91402449445377e-13 relative error = 5.600414751559175e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4999999999999963 y[1] (closed_form) = -3.416667534649887 y[1] (numeric) = -3.416667534649696 absolute error = 1.909583602355269e-13 relative error = 5.589023757767956e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4899999999999963 y[1] (closed_form) = -3.415647344350237 y[1] (numeric) = -3.415647344350046 absolute error = 1.91402449445377e-13 relative error = 5.60369470700693e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4799999999999963 y[1] (closed_form) = -3.414587187201962 y[1] (numeric) = -3.414587187201771 absolute error = 1.91402449445377e-13 relative error = 5.605434535769437e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4699999999999963 y[1] (closed_form) = -3.413487059111481 y[1] (numeric) = -3.41348705911129 absolute error = 1.909583602355269e-13 relative error = 5.594231263476145e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4599999999999963 y[1] (closed_form) = -3.41234695625495 y[1] (numeric) = -3.412346956254758 absolute error = 1.91402449445377e-13 relative error = 5.609114544889103e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4499999999999963 y[1] (closed_form) = -3.411166875078295 y[1] (numeric) = -3.411166875078104 absolute error = 1.909583602355269e-13 relative error = 5.59803630923638e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4399999999999963 y[1] (closed_form) = -3.409946812297251 y[1] (numeric) = -3.40994681229706 absolute error = 1.91402449445377e-13 relative error = 5.613062607168082e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4299999999999963 y[1] (closed_form) = -3.408686764897385 y[1] (numeric) = -3.408686764897193 absolute error = 1.91402449445377e-13 relative error = 5.615137519130156e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4199999999999963 y[1] (closed_form) = -3.407386730134125 y[1] (numeric) = -3.407386730133934 absolute error = 1.91402449445377e-13 relative error = 5.617279886449601e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4099999999999963 y[1] (closed_form) = -3.406046705532787 y[1] (numeric) = -3.406046705532596 absolute error = 1.909583602355269e-13 relative error = 5.606451606354485e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3999999999999962 y[1] (closed_form) = -3.404666688888592 y[1] (numeric) = -3.404666688888402 absolute error = 1.900701818158268e-13 relative error = 5.582636985762405e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3899999999999962 y[1] (closed_form) = -3.403246678266694 y[1] (numeric) = -3.403246678266503 absolute error = 1.905142710256769e-13 relative error = 5.598015337598378e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3799999999999962 y[1] (closed_form) = -3.401786672002187 y[1] (numeric) = -3.401786672001997 absolute error = 1.900701818158268e-13 relative error = 5.587363351740024e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3699999999999962 y[1] (closed_form) = -3.40028666870013 y[1] (numeric) = -3.400286668699939 absolute error = 1.905142710256769e-13 relative error = 5.602888508765267e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3599999999999962 y[1] (closed_form) = -3.398746667235554 y[1] (numeric) = -3.398746667235363 absolute error = 1.905142710256769e-13 relative error = 5.60542722593196e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3499999999999962 y[1] (closed_form) = -3.397166666753472 y[1] (numeric) = -3.397166666753281 absolute error = 1.909583602355269e-13 relative error = 5.621106615237625e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3399999999999962 y[1] (closed_form) = -3.395546666668888 y[1] (numeric) = -3.395546666668698 absolute error = 1.909583602355269e-13 relative error = 5.623788419991341e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3299999999999962 y[1] (closed_form) = -3.393886666666805 y[1] (numeric) = -3.393886666666614 absolute error = 1.909583602355269e-13 relative error = 5.626539097814673e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3199999999999962 y[1] (closed_form) = -3.392186666702222 y[1] (numeric) = -3.392186666702031 absolute error = 1.909583602355269e-13 relative error = 5.629358847199606e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3099999999999962 y[1] (closed_form) = -3.390446667000138 y[1] (numeric) = -3.390446666999947 absolute error = 1.909583602355269e-13 relative error = 5.63224787147254e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2999999999999962 y[1] (closed_form) = -3.388666668055551 y[1] (numeric) = -3.38866666805536 absolute error = 1.909583602355269e-13 relative error = 5.635206378829248e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2899999999999961 y[1] (closed_form) = -3.386846670633449 y[1] (numeric) = -3.386846670633259 absolute error = 1.900701818158268e-13 relative error = 5.612010235475986e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2799999999999961 y[1] (closed_form) = -3.384986675768811 y[1] (numeric) = -3.38498667576862 absolute error = 1.905142710256769e-13 relative error = 5.628213321767554e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2699999999999961 y[1] (closed_form) = -3.383086684766587 y[1] (numeric) = -3.383086684766397 absolute error = 1.896260926059767e-13 relative error = 5.605120715937546e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2599999999999961 y[1] (closed_form) = -3.381146699201697 y[1] (numeric) = -3.381146699201507 absolute error = 1.900701818158268e-13 relative error = 5.621471019305467e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2499999999999961 y[1] (closed_form) = -3.379166720919008 y[1] (numeric) = -3.379166720918818 absolute error = 1.896260926059767e-13 relative error = 5.611622872351367e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2399999999999961 y[1] (closed_form) = -3.377146752033324 y[1] (numeric) = -3.377146752033134 absolute error = 1.905142710256769e-13 relative error = 5.641279014924991e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2299999999999961 y[1] (closed_form) = -3.375086794929363 y[1] (numeric) = -3.375086794929173 absolute error = 1.900701818158268e-13 relative error = 5.63156426381043e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2199999999999961 y[1] (closed_form) = -3.372986852261737 y[1] (numeric) = -3.372986852261546 absolute error = 1.905142710256769e-13 relative error = 5.648236396116653e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2099999999999961 y[1] (closed_form) = -3.370846926954927 y[1] (numeric) = -3.370846926954736 absolute error = 1.905142710256769e-13 relative error = 5.65182208370936e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1999999999999961 y[1] (closed_form) = -3.368667022203259 y[1] (numeric) = -3.368667022203069 absolute error = 1.900701818158268e-13 relative error = 5.642296509659551e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1899999999999961 y[1] (closed_form) = -3.366447141470874 y[1] (numeric) = -3.366447141470684 absolute error = 1.900701818158268e-13 relative error = 5.646017116216505e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1799999999999961 y[1] (closed_form) = -3.364187288491694 y[1] (numeric) = -3.364187288491505 absolute error = 1.887379141862766e-13 relative error = 5.610208291075724e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.169999999999996 y[1] (closed_form) = -3.361887467269394 y[1] (numeric) = -3.361887467269205 absolute error = 1.891820033961267e-13 relative error = 5.62725567818559e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.159999999999996 y[1] (closed_form) = -3.359547682077362 y[1] (numeric) = -3.359547682077173 absolute error = 1.882938249764265e-13 relative error = 5.604737387147185e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.149999999999996 y[1] (closed_form) = -3.35716793745866 y[1] (numeric) = -3.357167937458472 absolute error = 1.887379141862766e-13 relative error = 5.621938422572603e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.139999999999996 y[1] (closed_form) = -3.354748238225988 y[1] (numeric) = -3.354748238225799 absolute error = 1.887379141862766e-13 relative error = 5.625993391566171e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.129999999999996 y[1] (closed_form) = -3.352288589461634 y[1] (numeric) = -3.352288589461445 absolute error = 1.891820033961267e-13 relative error = 5.643368652413922e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.119999999999996 y[1] (closed_form) = -3.349788996517432 y[1] (numeric) = -3.349788996517243 absolute error = 1.891820033961267e-13 relative error = 5.647579701073932e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.109999999999996 y[1] (closed_form) = -3.347249465014716 y[1] (numeric) = -3.347249465014527 absolute error = 1.887379141862766e-13 relative error = 5.638597187301271e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.09999999999999598 y[1] (closed_form) = -3.344670000844264 y[1] (numeric) = -3.344670000844074 absolute error = 1.900701818158268e-13 relative error = 5.6827783239557e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.08999999999999597 y[1] (closed_form) = -3.342050610166249 y[1] (numeric) = -3.34205061016606 absolute error = 1.896260926059767e-13 relative error = 5.673944375023807e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.07999999999999596 y[1] (closed_form) = -3.339391299410184 y[1] (numeric) = -3.339391299409994 absolute error = 1.900701818158268e-13 relative error = 5.691761305403105e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.06999999999999595 y[1] (closed_form) = -3.336692075274859 y[1] (numeric) = -3.336692075274668 absolute error = 1.900701818158268e-13 relative error = 5.696365667790003e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.05999999999999595 y[1] (closed_form) = -3.333952944728285 y[1] (numeric) = -3.333952944728095 absolute error = 1.905142710256769e-13 relative error = 5.714365924897708e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.04999999999999594 y[1] (closed_form) = -3.331173915007634 y[1] (numeric) = -3.331173915007444 absolute error = 1.900701818158268e-13 relative error = 5.705801818377628e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.03999999999999593 y[1] (closed_form) = -3.328354993619166 y[1] (numeric) = -3.328354993618976 absolute error = 1.896260926059767e-13 relative error = 5.697291694230677e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.02999999999999592 y[1] (closed_form) = -3.325496188338169 y[1] (numeric) = -3.32549618833798 absolute error = 1.891820033961267e-13 relative error = 5.688835370178713e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.01999999999999591 y[1] (closed_form) = -3.322597507208883 y[1] (numeric) = -3.322597507208695 absolute error = 1.887379141862766e-13 relative error = 5.68043266681507e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.009999999999995901 y[1] (closed_form) = -3.319658958544434 y[1] (numeric) = -3.319658958544246 absolute error = 1.878497357665765e-13 relative error = 5.658705852391015e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.100886297209172e-15 y[1] (closed_form) = -3.316680550926751 y[1] (numeric) = -3.316680550926563 absolute error = 1.882938249764265e-13 relative error = 5.677176987208287e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.0100000000000041 y[1] (closed_form) = -3.313662293206498 y[1] (numeric) = -3.31366229320631 absolute error = 1.882938249764265e-13 relative error = 5.682348058293598e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.02000000000000411 y[1] (closed_form) = -3.310604194502987 y[1] (numeric) = -3.310604194502798 absolute error = 1.887379141862766e-13 relative error = 5.701011147743421e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.03000000000000412 y[1] (closed_form) = -3.307506264204099 y[1] (numeric) = -3.30750626420391 absolute error = 1.887379141862766e-13 relative error = 5.70635092150592e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.04000000000000413 y[1] (closed_form) = -3.304368511966199 y[1] (numeric) = -3.304368511966011 absolute error = 1.882938249764265e-13 relative error = 5.69833008317786e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.05000000000000414 y[1] (closed_form) = -3.301190947714052 y[1] (numeric) = -3.301190947713863 absolute error = 1.891820033961267e-13 relative error = 5.730719803625052e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.06000000000000415 y[1] (closed_form) = -3.297973581640726 y[1] (numeric) = -3.297973581640536 absolute error = 1.891820033961267e-13 relative error = 5.736310455889388e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.07000000000000416 y[1] (closed_form) = -3.294716424207508 y[1] (numeric) = -3.294716424207319 absolute error = 1.891820033961267e-13 relative error = 5.741981373757573e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.08000000000000417 y[1] (closed_form) = -3.291419486143809 y[1] (numeric) = -3.291419486143619 absolute error = 1.896260926059767e-13 relative error = 5.761225313402413e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.09000000000000417 y[1] (closed_form) = -3.288082778447061 y[1] (numeric) = -3.288082778446872 absolute error = 1.887379141862766e-13 relative error = 5.74005969142347e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1000000000000042 y[1] (closed_form) = -3.284706312382625 y[1] (numeric) = -3.284706312382437 absolute error = 1.882938249764265e-13 relative error = 5.732440196147825e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1100000000000042 y[1] (closed_form) = -3.281290099483689 y[1] (numeric) = -3.281290099483501 absolute error = 1.878497357665765e-13 relative error = 5.724874365608047e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1200000000000042 y[1] (closed_form) = -3.277834151551159 y[1] (numeric) = -3.27783415155097 absolute error = 1.887379141862766e-13 relative error = 5.758006825847511e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1300000000000042 y[1] (closed_form) = -3.274338480653556 y[1] (numeric) = -3.274338480653368 absolute error = 1.887379141862766e-13 relative error = 5.764154051312515e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1400000000000042 y[1] (closed_form) = -3.270803099126911 y[1] (numeric) = -3.270803099126723 absolute error = 1.882938249764265e-13 relative error = 5.756807098130993e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1500000000000042 y[1] (closed_form) = -3.267228019574648 y[1] (numeric) = -3.267228019574459 absolute error = 1.887379141862766e-13 relative error = 5.776698566965887e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1600000000000042 y[1] (closed_form) = -3.263613254867472 y[1] (numeric) = -3.263613254867283 absolute error = 1.891820033961267e-13 relative error = 5.796704101320024e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1700000000000042 y[1] (closed_form) = -3.259958818143256 y[1] (numeric) = -3.259958818143066 absolute error = 1.896260926059767e-13 relative error = 5.816824787804537e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1800000000000042 y[1] (closed_form) = -3.256264722806921 y[1] (numeric) = -3.256264722806732 absolute error = 1.896260926059767e-13 relative error = 5.823423730811352e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1900000000000042 y[1] (closed_form) = -3.252530982530315 y[1] (numeric) = -3.252530982530125 absolute error = 1.900701818158268e-13 relative error = 5.84376237572259e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2000000000000043 y[1] (closed_form) = -3.248757611252088 y[1] (numeric) = -3.248757611251898 absolute error = 1.896260926059767e-13 relative error = 5.836880287689233e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2100000000000043 y[1] (closed_form) = -3.244944623177573 y[1] (numeric) = -3.244944623177384 absolute error = 1.896260926059767e-13 relative error = 5.84373894246268e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2200000000000043 y[1] (closed_form) = -3.241092032778652 y[1] (numeric) = -3.241092032778462 absolute error = 1.900701818158268e-13 relative error = 5.864387061322535e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2300000000000043 y[1] (closed_form) = -3.237199854793626 y[1] (numeric) = -3.237199854793436 absolute error = 1.900701818158268e-13 relative error = 5.87143798163626e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2400000000000043 y[1] (closed_form) = -3.233268104227086 y[1] (numeric) = -3.233268104226897 absolute error = 1.891820033961267e-13 relative error = 5.851107835715675e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2500000000000043 y[1] (closed_form) = -3.229296796349777 y[1] (numeric) = -3.229296796349588 absolute error = 1.887379141862766e-13 relative error = 5.844551494914181e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2600000000000043 y[1] (closed_form) = -3.225285946698456 y[1] (numeric) = -3.225285946698268 absolute error = 1.887379141862766e-13 relative error = 5.851819569036258e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2700000000000043 y[1] (closed_form) = -3.22123557107576 y[1] (numeric) = -3.221235571075571 absolute error = 1.891820033961267e-13 relative error = 5.872963936411135e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2800000000000043 y[1] (closed_form) = -3.217145685550057 y[1] (numeric) = -3.217145685549868 absolute error = 1.887379141862766e-13 relative error = 5.866626277883553e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2900000000000043 y[1] (closed_form) = -3.213016306455303 y[1] (numeric) = -3.213016306455115 absolute error = 1.882938249764265e-13 relative error = 5.860344517957271e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3000000000000043 y[1] (closed_form) = -3.208847450390899 y[1] (numeric) = -3.208847450390711 absolute error = 1.882938249764265e-13 relative error = 5.86795813411101e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3100000000000043 y[1] (closed_form) = -3.204639134221538 y[1] (numeric) = -3.204639134221348 absolute error = 1.891820033961267e-13 relative error = 5.903379303332456e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000043 y[1] (closed_form) = -3.200391375077049 y[1] (numeric) = -3.20039137507686 absolute error = 1.887379141862766e-13 relative error = 5.897338546031195e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3300000000000043 y[1] (closed_form) = -3.196104190352255 y[1] (numeric) = -3.196104190352067 absolute error = 1.887379141862766e-13 relative error = 5.90524910783572e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000044 y[1] (closed_form) = -3.191777597706804 y[1] (numeric) = -3.191777597706615 absolute error = 1.887379141862766e-13 relative error = 5.913253928528075e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3500000000000044 y[1] (closed_form) = -3.187411615065015 y[1] (numeric) = -3.187411615064826 absolute error = 1.891820033961267e-13 relative error = 5.935286252392847e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3600000000000044 y[1] (closed_form) = -3.18300626061572 y[1] (numeric) = -3.18300626061553 absolute error = 1.896260926059767e-13 relative error = 5.957452706024383e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3700000000000044 y[1] (closed_form) = -3.178561552812095 y[1] (numeric) = -3.178561552811904 absolute error = 1.900701818158268e-13 relative error = 5.979754636107973e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3800000000000044 y[1] (closed_form) = -3.174077510371494 y[1] (numeric) = -3.174077510371305 absolute error = 1.891820033961267e-13 relative error = 5.960220025439291e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3900000000000044 y[1] (closed_form) = -3.169554152275288 y[1] (numeric) = -3.169554152275099 absolute error = 1.891820033961267e-13 relative error = 5.968726019724919e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4000000000000044 y[1] (closed_form) = -3.164991497768683 y[1] (numeric) = -3.164991497768494 absolute error = 1.891820033961267e-13 relative error = 5.977330540366375e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4100000000000044 y[1] (closed_form) = -3.160389566360556 y[1] (numeric) = -3.160389566360366 absolute error = 1.896260926059767e-13 relative error = 6.000086021811118e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4200000000000044 y[1] (closed_form) = -3.155748377823275 y[1] (numeric) = -3.155748377823085 absolute error = 1.896260926059767e-13 relative error = 6.008910404218418e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4300000000000044 y[1] (closed_form) = -3.151067952192521 y[1] (numeric) = -3.151067952192331 absolute error = 1.900701818158268e-13 relative error = 6.031929006277871e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4400000000000044 y[1] (closed_form) = -3.146348309767109 y[1] (numeric) = -3.146348309766921 absolute error = 1.887379141862766e-13 relative error = 5.998633832127978e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000045 y[1] (closed_form) = -3.141589471108808 y[1] (numeric) = -3.141589471108618 absolute error = 1.900701818158268e-13 relative error = 6.05012792294413e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4600000000000045 y[1] (closed_form) = -3.136791457042148 y[1] (numeric) = -3.136791457041958 absolute error = 1.896260926059767e-13 relative error = 6.045224720956922e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4700000000000045 y[1] (closed_form) = -3.13195428865424 y[1] (numeric) = -3.13195428865405 absolute error = 1.900701818158268e-13 relative error = 6.068740610435201e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4800000000000045 y[1] (closed_form) = -3.127077987294584 y[1] (numeric) = -3.127077987294394 absolute error = 1.905142710256769e-13 relative error = 6.092405491636036e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4900000000000045 y[1] (closed_form) = -3.122162574574876 y[1] (numeric) = -3.122162574574685 absolute error = 1.909583602355269e-13 relative error = 6.116220910166039e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5000000000000044 y[1] (closed_form) = -3.117208072368814 y[1] (numeric) = -3.117208072368623 absolute error = 1.905142710256769e-13 relative error = 6.111695677757635e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5100000000000044 y[1] (closed_form) = -3.112214502811901 y[1] (numeric) = -3.11221450281171 absolute error = 1.905142710256769e-13 relative error = 6.121501935472195e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5200000000000045 y[1] (closed_form) = -3.107181888301247 y[1] (numeric) = -3.107181888301056 absolute error = 1.905142710256769e-13 relative error = 6.131416758799225e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5300000000000045 y[1] (closed_form) = -3.102110251495364 y[1] (numeric) = -3.102110251495174 absolute error = 1.900701818158268e-13 relative error = 6.127125292345879e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5400000000000045 y[1] (closed_form) = -3.096999615313968 y[1] (numeric) = -3.096999615313777 absolute error = 1.905142710256769e-13 relative error = 6.151575546978649e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000045 y[1] (closed_form) = -3.091850002937766 y[1] (numeric) = -3.091850002937575 absolute error = 1.905142710256769e-13 relative error = 6.161821267029675e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5600000000000045 y[1] (closed_form) = -3.086661437808251 y[1] (numeric) = -3.086661437808061 absolute error = 1.900701818158268e-13 relative error = 6.157791699720398e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5700000000000045 y[1] (closed_form) = -3.081433943627494 y[1] (numeric) = -3.081433943627304 absolute error = 1.896260926059767e-13 relative error = 6.153826305383884e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5800000000000045 y[1] (closed_form) = -3.076167544357923 y[1] (numeric) = -3.076167544357733 absolute error = 1.896260926059767e-13 relative error = 6.164361656886173e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5900000000000045 y[1] (closed_form) = -3.070862264222113 y[1] (numeric) = -3.070862264221923 absolute error = 1.900701818158268e-13 relative error = 6.189472710329257e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6000000000000045 y[1] (closed_form) = -3.065518127702568 y[1] (numeric) = -3.065518127702378 absolute error = 1.900701818158268e-13 relative error = 6.200262855997973e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6100000000000045 y[1] (closed_form) = -3.060135159541496 y[1] (numeric) = -3.060135159541306 absolute error = 1.905142710256769e-13 relative error = 6.225681582450817e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6200000000000045 y[1] (closed_form) = -3.054713384740595 y[1] (numeric) = -3.054713384740404 absolute error = 1.909583602355269e-13 relative error = 6.251269306948189e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6300000000000046 y[1] (closed_form) = -3.049252828560816 y[1] (numeric) = -3.049252828560626 absolute error = 1.905142710256769e-13 relative error = 6.247900116422804e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6400000000000046 y[1] (closed_form) = -3.043753516522147 y[1] (numeric) = -3.043753516521957 absolute error = 1.905142710256769e-13 relative error = 6.259188531250133e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6500000000000046 y[1] (closed_form) = -3.038215474403377 y[1] (numeric) = -3.038215474403188 absolute error = 1.896260926059767e-13 relative error = 6.241364189062797e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6600000000000046 y[1] (closed_form) = -3.032638728241866 y[1] (numeric) = -3.032638728241676 absolute error = 1.900701818158268e-13 relative error = 6.267485145717228e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6700000000000046 y[1] (closed_form) = -3.027023304333309 y[1] (numeric) = -3.027023304333119 absolute error = 1.900701818158268e-13 relative error = 6.279111942869204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6800000000000046 y[1] (closed_form) = -3.021369229231501 y[1] (numeric) = -3.021369229231311 absolute error = 1.896260926059767e-13 relative error = 6.276164156679685e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6900000000000046 y[1] (closed_form) = -3.015676529748098 y[1] (numeric) = -3.015676529747909 absolute error = 1.891820033961267e-13 relative error = 6.273285663430527e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7000000000000046 y[1] (closed_form) = -3.009945232952375 y[1] (numeric) = -3.009945232952186 absolute error = 1.891820033961267e-13 relative error = 6.285230751875278e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7100000000000046 y[1] (closed_form) = -3.004175366170984 y[1] (numeric) = -3.004175366170795 absolute error = 1.887379141862766e-13 relative error = 6.282519865903678e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7200000000000046 y[1] (closed_form) = -2.998366956987704 y[1] (numeric) = -2.998366956987515 absolute error = 1.887379141862766e-13 relative error = 6.294690306215599e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7300000000000046 y[1] (closed_form) = -2.992520033243196 y[1] (numeric) = -2.992520033243007 absolute error = 1.896260926059767e-13 relative error = 6.336669111633853e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7400000000000047 y[1] (closed_form) = -2.986634623034755 y[1] (numeric) = -2.986634623034565 absolute error = 1.900701818158268e-13 relative error = 6.364025259396954e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7500000000000047 y[1] (closed_form) = -2.98071075471605 y[1] (numeric) = -2.980710754715859 absolute error = 1.905142710256769e-13 relative error = 6.391571900233766e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7600000000000047 y[1] (closed_form) = -2.974748456896874 y[1] (numeric) = -2.974748456896684 absolute error = 1.905142710256769e-13 relative error = 6.404382548177298e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7700000000000047 y[1] (closed_form) = -2.968747758442887 y[1] (numeric) = -2.968747758442696 absolute error = 1.91402449445377e-13 relative error = 6.447245270368401e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7800000000000047 y[1] (closed_form) = -2.962708688475352 y[1] (numeric) = -2.962708688475161 absolute error = 1.918465386552271e-13 relative error = 6.475376381130259e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7900000000000047 y[1] (closed_form) = -2.956631276370878 y[1] (numeric) = -2.956631276370687 absolute error = 1.918465386552271e-13 relative error = 6.488686641058244e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8000000000000047 y[1] (closed_form) = -2.950515551761151 y[1] (numeric) = -2.95051555176096 absolute error = 1.91402449445377e-13 relative error = 6.487084920841363e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8100000000000047 y[1] (closed_form) = -2.94436154453267 y[1] (numeric) = -2.944361544532479 absolute error = 1.91402449445377e-13 relative error = 6.500643570786631e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8200000000000047 y[1] (closed_form) = -2.938169284826478 y[1] (numeric) = -2.938169284826286 absolute error = 1.91402449445377e-13 relative error = 6.514343827424526e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8300000000000047 y[1] (closed_form) = -2.931938803037888 y[1] (numeric) = -2.931938803037697 absolute error = 1.909583602355269e-13 relative error = 6.513040450833013e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8400000000000047 y[1] (closed_form) = -2.925670129816216 y[1] (numeric) = -2.925670129816025 absolute error = 1.909583602355269e-13 relative error = 6.52699558605134e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8500000000000048 y[1] (closed_form) = -2.919363296064494 y[1] (numeric) = -2.919363296064304 absolute error = 1.900701818158268e-13 relative error = 6.510672449436309e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8600000000000048 y[1] (closed_form) = -2.913018332939207 y[1] (numeric) = -2.913018332939016 absolute error = 1.909583602355269e-13 relative error = 6.555343578728934e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8700000000000048 y[1] (closed_form) = -2.906635271849995 y[1] (numeric) = -2.906635271849805 absolute error = 1.905142710256769e-13 relative error = 6.554460852751562e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8800000000000048 y[1] (closed_form) = -2.900214144459386 y[1] (numeric) = -2.900214144459196 absolute error = 1.900701818158268e-13 relative error = 6.553660259154993e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8900000000000048 y[1] (closed_form) = -2.893754982682504 y[1] (numeric) = -2.893754982682314 absolute error = 1.900701818158268e-13 relative error = 6.568288709766029e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9000000000000048 y[1] (closed_form) = -2.887257818686779 y[1] (numeric) = -2.887257818686589 absolute error = 1.900701818158268e-13 relative error = 6.583069256429517e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9100000000000048 y[1] (closed_form) = -2.880722684891662 y[1] (numeric) = -2.880722684891473 absolute error = 1.896260926059767e-13 relative error = 6.582587543066755e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9200000000000048 y[1] (closed_form) = -2.874149613968335 y[1] (numeric) = -2.874149613968146 absolute error = 1.891820033961267e-13 relative error = 6.582190519126223e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9300000000000048 y[1] (closed_form) = -2.86753863883941 y[1] (numeric) = -2.867538638839221 absolute error = 1.896260926059767e-13 relative error = 6.612852222375801e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9400000000000048 y[1] (closed_form) = -2.860889792678639 y[1] (numeric) = -2.860889792678449 absolute error = 1.900701818158268e-13 relative error = 6.643743575940577e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9500000000000048 y[1] (closed_form) = -2.854203108910613 y[1] (numeric) = -2.854203108910422 absolute error = 1.909583602355269e-13 relative error = 6.690426467526748e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9600000000000048 y[1] (closed_form) = -2.847478621210458 y[1] (numeric) = -2.847478621210268 absolute error = 1.900701818158268e-13 relative error = 6.675034551621261e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9700000000000049 y[1] (closed_form) = -2.840716363503541 y[1] (numeric) = -2.84071636350335 absolute error = 1.909583602355269e-13 relative error = 6.722190313995736e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9800000000000049 y[1] (closed_form) = -2.833916369965154 y[1] (numeric) = -2.833916369964963 absolute error = 1.909583602355269e-13 relative error = 6.738320236241656e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9900000000000049 y[1] (closed_form) = -2.827078675020213 y[1] (numeric) = -2.827078675020022 absolute error = 1.909583602355269e-13 relative error = 6.754617829451161e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.000000000000005 y[1] (closed_form) = -2.820203313342947 y[1] (numeric) = -2.820203313342756 absolute error = 1.918465386552271e-13 relative error = 6.802578301626787e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.010000000000004 y[1] (closed_form) = -2.813290319856586 y[1] (numeric) = -2.813290319856393 absolute error = 1.922906278650771e-13 relative error = 6.835079426672168e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.020000000000003 y[1] (closed_form) = -2.806339729733043 y[1] (numeric) = -2.806339729732851 absolute error = 1.922906278650771e-13 relative error = 6.852008180897223e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.030000000000002 y[1] (closed_form) = -2.799351578392604 y[1] (numeric) = -2.79935157839241 absolute error = 1.936228954946273e-13 relative error = 6.916705175196542e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (closed_form) = -2.792325901503603 y[1] (numeric) = -2.792325901503409 absolute error = 1.945110739143274e-13 relative error = 6.965915898627295e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999999 y[1] (closed_form) = -2.785262734982106 y[1] (numeric) = -2.785262734981912 absolute error = 1.945110739143274e-13 relative error = 6.983580811652839e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.059999999999998 y[1] (closed_form) = -2.778162114991585 y[1] (numeric) = -2.778162114991388 absolute error = 1.962874307537277e-13 relative error = 7.065369932680197e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.069999999999997 y[1] (closed_form) = -2.771024077942591 y[1] (numeric) = -2.771024077942394 absolute error = 1.976196983832779e-13 relative error = 7.131648546699206e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.079999999999996 y[1] (closed_form) = -2.763848660492432 y[1] (numeric) = -2.763848660492233 absolute error = 1.989519660128281e-13 relative error = 7.198366859109464e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.089999999999995 y[1] (closed_form) = -2.756635899544834 y[1] (numeric) = -2.756635899544635 absolute error = 1.993960552226781e-13 relative error = 7.233311271017027e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.099999999999994 y[1] (closed_form) = -2.749385832249621 y[1] (numeric) = -2.749385832249422 absolute error = 1.998401444325282e-13 relative error = 7.268537652607804e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.109999999999993 y[1] (closed_form) = -2.74209849600237 y[1] (numeric) = -2.742098496002169 absolute error = 2.007283228522283e-13 relative error = 7.320244810493299e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999992 y[1] (closed_form) = -2.734773928444079 y[1] (numeric) = -2.734773928443877 absolute error = 2.020605904817785e-13 relative error = 7.388566505632104e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999991 y[1] (closed_form) = -2.727412167460826 y[1] (numeric) = -2.727412167460623 absolute error = 2.029487689014786e-13 relative error = 7.441074411955142e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999989 y[1] (closed_form) = -2.720013251183432 y[1] (numeric) = -2.720013251183229 absolute error = 2.033928581113287e-13 relative error = 7.477642177766445e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999988 y[1] (closed_form) = -2.712577217987116 y[1] (numeric) = -2.712577217986912 absolute error = 2.042810365310288e-13 relative error = 7.530883735822892e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.159999999999987 y[1] (closed_form) = -2.705104106491147 y[1] (numeric) = -2.70510410649094 absolute error = 2.060573933704291e-13 relative error = 7.617355386655003e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.169999999999986 y[1] (closed_form) = -2.697593955558498 y[1] (numeric) = -2.697593955558291 absolute error = 2.069455717901292e-13 relative error = 7.671487080689431e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.179999999999985 y[1] (closed_form) = -2.6900468042955 y[1] (numeric) = -2.690046804295292 absolute error = 2.078337502098293e-13 relative error = 7.726027289858221e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.189999999999984 y[1] (closed_form) = -2.682462692051484 y[1] (numeric) = -2.682462692051276 absolute error = 2.082778394196794e-13 relative error = 7.764426324989946e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.199999999999983 y[1] (closed_form) = -2.674841658418431 y[1] (numeric) = -2.674841658418222 absolute error = 2.091660178393795e-13 relative error = 7.819753262069887e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999982 y[1] (closed_form) = -2.667183743230613 y[1] (numeric) = -2.667183743230403 absolute error = 2.096101070492296e-13 relative error = 7.858855153163928e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.219999999999981 y[1] (closed_form) = -2.659488986564237 y[1] (numeric) = -2.659488986564026 absolute error = 2.104982854689297e-13 relative error = 7.914989929733456e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.22999999999998 y[1] (closed_form) = -2.651757428737083 y[1] (numeric) = -2.651757428736872 absolute error = 2.109423746787797e-13 relative error = 7.954814131669746e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.239999999999978 y[1] (closed_form) = -2.64398911030814 y[1] (numeric) = -2.643989110307929 absolute error = 2.113864638886298e-13 relative error = 7.99498239476463e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.249999999999977 y[1] (closed_form) = -2.636184072077245 y[1] (numeric) = -2.636184072077032 absolute error = 2.122746423083299e-13 relative error = 8.052345227208016e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.259999999999976 y[1] (closed_form) = -2.62834235508471 y[1] (numeric) = -2.628342355084497 absolute error = 2.131628207280301e-13 relative error = 8.110161916907507e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.269999999999975 y[1] (closed_form) = -2.620464000610958 y[1] (numeric) = -2.620464000610744 absolute error = 2.131628207280301e-13 relative error = 8.134544900381437e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.279999999999974 y[1] (closed_form) = -2.612549050176147 y[1] (numeric) = -2.612549050175934 absolute error = 2.131628207280301e-13 relative error = 8.159189229907776e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.289999999999973 y[1] (closed_form) = -2.6045975455398 y[1] (numeric) = -2.604597545539586 absolute error = 2.144950883575802e-13 relative error = 8.235248809355934e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999972 y[1] (closed_form) = -2.596609528700427 y[1] (numeric) = -2.596609528700212 absolute error = 2.153832667772804e-13 relative error = 8.294788430707068e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.309999999999971 y[1] (closed_form) = -2.588585041895149 y[1] (numeric) = -2.588585041894933 absolute error = 2.162714451969805e-13 relative error = 8.354813216360251e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.31999999999997 y[1] (closed_form) = -2.580524127599314 y[1] (numeric) = -2.580524127599098 absolute error = 2.167155344068306e-13 relative error = 8.398120834795025e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.329999999999969 y[1] (closed_form) = -2.57242682852612 y[1] (numeric) = -2.572426828525902 absolute error = 2.176037128265307e-13 relative error = 8.459082700175672e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999967 y[1] (closed_form) = -2.564293187626225 y[1] (numeric) = -2.564293187626006 absolute error = 2.184918912462308e-13 relative error = 8.520550313846504e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.349999999999966 y[1] (closed_form) = -2.556123248087365 y[1] (numeric) = -2.556123248087145 absolute error = 2.19824158875781e-13 relative error = 8.59990452495848e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.359999999999965 y[1] (closed_form) = -2.547917053333964 y[1] (numeric) = -2.547917053333744 absolute error = 2.207123372954811e-13 relative error = 8.662461637307923e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.369999999999964 y[1] (closed_form) = -2.539674647026742 y[1] (numeric) = -2.539674647026521 absolute error = 2.216005157151812e-13 relative error = 8.725547422958852e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.379999999999963 y[1] (closed_form) = -2.531396073062322 y[1] (numeric) = -2.5313960730621 absolute error = 2.224886941348814e-13 relative error = 8.78916960101501e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.389999999999962 y[1] (closed_form) = -2.523081375572838 y[1] (numeric) = -2.523081375572614 absolute error = 2.242650509742816e-13 relative error = 8.888538163909387e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.399999999999961 y[1] (closed_form) = -2.514730598925532 y[1] (numeric) = -2.514730598925307 absolute error = 2.251532293939817e-13 relative error = 8.953373752647016e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.40999999999996 y[1] (closed_form) = -2.506343787722363 y[1] (numeric) = -2.506343787722137 absolute error = 2.260414078136819e-13 relative error = 9.018771044937007e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.419999999999959 y[1] (closed_form) = -2.497920986799596 y[1] (numeric) = -2.497920986799369 absolute error = 2.273736754432321e-13 relative error = 9.102516718695309e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999958 y[1] (closed_form) = -2.489462241227406 y[1] (numeric) = -2.489462241227178 absolute error = 2.278177646530821e-13 relative error = 9.151284196251103e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.439999999999956 y[1] (closed_form) = -2.48096759630947 y[1] (numeric) = -2.480967596309241 absolute error = 2.291500322826323e-13 relative error = 9.236317016937318e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.449999999999955 y[1] (closed_form) = -2.472437097582557 y[1] (numeric) = -2.472437097582327 absolute error = 2.300382107023324e-13 relative error = 9.304107713286373e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.459999999999954 y[1] (closed_form) = -2.463870790816122 y[1] (numeric) = -2.463870790815892 absolute error = 2.300382107023324e-13 relative error = 9.336455935911135e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.469999999999953 y[1] (closed_form) = -2.455268722011892 y[1] (numeric) = -2.45526872201166 absolute error = 2.322586567515827e-13 relative error = 9.459602310302955e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.479999999999952 y[1] (closed_form) = -2.44663093740345 y[1] (numeric) = -2.446630937403217 absolute error = 2.335909243811329e-13 relative error = 9.54745240935428e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.489999999999951 y[1] (closed_form) = -2.437957483455824 y[1] (numeric) = -2.437957483455589 absolute error = 2.344791028008331e-13 relative error = 9.617850368270455e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.49999999999995 y[1] (closed_form) = -2.429248406865063 y[1] (numeric) = -2.429248406864828 absolute error = 2.344791028008331e-13 relative error = 9.652331237027653e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999949 y[1] (closed_form) = -2.420503754557823 y[1] (numeric) = -2.420503754557587 absolute error = 2.358113704303832e-13 relative error = 9.742243530353922e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.519999999999948 y[1] (closed_form) = -2.411723573690937 y[1] (numeric) = -2.411723573690701 absolute error = 2.366995488500834e-13 relative error = 9.814538922793499e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.529999999999947 y[1] (closed_form) = -2.402907911651 y[1] (numeric) = -2.402907911650762 absolute error = 2.380318164796336e-13 relative error = 9.905989960143152e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.539999999999945 y[1] (closed_form) = -2.394056816053933 y[1] (numeric) = -2.394056816053694 absolute error = 2.389199948993337e-13 relative error = 9.979712816220454e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.549999999999944 y[1] (closed_form) = -2.38517033474456 y[1] (numeric) = -2.385170334744321 absolute error = 2.389199948993337e-13 relative error = 1.001689445063976e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.559999999999943 y[1] (closed_form) = -2.376248515796179 y[1] (numeric) = -2.376248515795939 absolute error = 2.398081733190338e-13 relative error = 1.009188103537581e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.569999999999942 y[1] (closed_form) = -2.367291407510121 y[1] (numeric) = -2.367291407509881 absolute error = 2.402522625288839e-13 relative error = 1.014882501438964e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.579999999999941 y[1] (closed_form) = -2.358299058415327 y[1] (numeric) = -2.358299058415086 absolute error = 2.41140440948584e-13 relative error = 1.022518497338585e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.58999999999994 y[1] (closed_form) = -2.349271517267903 y[1] (numeric) = -2.349271517267659 absolute error = 2.433608869978343e-13 relative error = 1.0358993637349e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.599999999999939 y[1] (closed_form) = -2.340208833050679 y[1] (numeric) = -2.340208833050434 absolute error = 2.442490654175344e-13 relative error = 1.043706279405557e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.609999999999938 y[1] (closed_form) = -2.331111054972778 y[1] (numeric) = -2.331111054972533 absolute error = 2.446931546273845e-13 relative error = 1.049684673346641e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.619999999999937 y[1] (closed_form) = -2.321978232469166 y[1] (numeric) = -2.32197823246892 absolute error = 2.455813330470846e-13 relative error = 1.057638394766243e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.629999999999936 y[1] (closed_form) = -2.312810415200208 y[1] (numeric) = -2.31281041519996 absolute error = 2.473576898864849e-13 relative error = 1.06951131083121e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.639999999999934 y[1] (closed_form) = -2.303607653051221 y[1] (numeric) = -2.303607653050973 absolute error = 2.478017790963349e-13 relative error = 1.075711737491892e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.649999999999933 y[1] (closed_form) = -2.294369996132029 y[1] (numeric) = -2.294369996131779 absolute error = 2.495781359357352e-13 relative error = 1.08778504058407e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.659999999999932 y[1] (closed_form) = -2.285097494776504 y[1] (numeric) = -2.285097494776254 absolute error = 2.500222251455853e-13 relative error = 1.09414248502355e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.669999999999931 y[1] (closed_form) = -2.275790199542122 y[1] (numeric) = -2.275790199541871 absolute error = 2.509104035652854e-13 relative error = 1.102519923039335e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.67999999999993 y[1] (closed_form) = -2.266448161209501 y[1] (numeric) = -2.266448161209249 absolute error = 2.517985819849855e-13 relative error = 1.110983195179774e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.689999999999929 y[1] (closed_form) = -2.257071430781949 y[1] (numeric) = -2.257071430781696 absolute error = 2.526867604046856e-13 relative error = 1.119533732776653e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.699999999999928 y[1] (closed_form) = -2.247660059485 y[1] (numeric) = -2.247660059484745 absolute error = 2.544631172440859e-13 relative error = 1.132124567370701e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.709999999999927 y[1] (closed_form) = -2.238214098765958 y[1] (numeric) = -2.238214098765702 absolute error = 2.557953848736361e-13 relative error = 1.142854854746332e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.719999999999926 y[1] (closed_form) = -2.22873360029343 y[1] (numeric) = -2.228733600293173 absolute error = 2.566835632933362e-13 relative error = 1.151701411328576e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.729999999999924 y[1] (closed_form) = -2.219218615956864 y[1] (numeric) = -2.219218615956606 absolute error = 2.575717417130363e-13 relative error = 1.160641587363301e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.739999999999923 y[1] (closed_form) = -2.20966919786608 y[1] (numeric) = -2.209669197865821 absolute error = 2.589040093425865e-13 relative error = 1.171686737510823e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.749999999999922 y[1] (closed_form) = -2.200085398350801 y[1] (numeric) = -2.200085398350541 absolute error = 2.602362769721367e-13 relative error = 1.182846253000959e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.759999999999921 y[1] (closed_form) = -2.190467269960183 y[1] (numeric) = -2.190467269959922 absolute error = 2.611244553918368e-13 relative error = 1.192094759747692e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.76999999999992 y[1] (closed_form) = -2.180814865462343 y[1] (numeric) = -2.180814865462081 absolute error = 2.620126338115369e-13 relative error = 1.201443726200889e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.779999999999919 y[1] (closed_form) = -2.171128237843882 y[1] (numeric) = -2.171128237843618 absolute error = 2.637889906509372e-13 relative error = 1.214985766630268e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.789999999999918 y[1] (closed_form) = -2.161407440309407 y[1] (numeric) = -2.161407440309142 absolute error = 2.646771690706373e-13 relative error = 1.224559350238697e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.799999999999917 y[1] (closed_form) = -2.151652526281056 y[1] (numeric) = -2.15165252628079 absolute error = 2.660094367001875e-13 relative error = 1.236302950643995e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.809999999999916 y[1] (closed_form) = -2.141863549398018 y[1] (numeric) = -2.14186354939775 absolute error = 2.677857935395878e-13 relative error = 1.250246747113514e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.819999999999915 y[1] (closed_form) = -2.13204056351604 y[1] (numeric) = -2.132040563515771 absolute error = 2.686739719592879e-13 relative error = 1.260172890501699e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.829999999999913 y[1] (closed_form) = -2.122183622706957 y[1] (numeric) = -2.122183622706686 absolute error = 2.704503287986881e-13 relative error = 1.274396456107387e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.839999999999912 y[1] (closed_form) = -2.112292781258195 y[1] (numeric) = -2.112292781257923 absolute error = 2.722266856380884e-13 relative error = 1.28877345060061e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.849999999999911 y[1] (closed_form) = -2.102368093672287 y[1] (numeric) = -2.102368093672013 absolute error = 2.731148640577885e-13 relative error = 1.299082044099748e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.85999999999991 y[1] (closed_form) = -2.092409614666378 y[1] (numeric) = -2.092409614666105 absolute error = 2.731148640577885e-13 relative error = 1.305264811170039e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.869999999999909 y[1] (closed_form) = -2.082417399171741 y[1] (numeric) = -2.082417399171466 absolute error = 2.748912208971888e-13 relative error = 1.320058221788407e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.879999999999908 y[1] (closed_form) = -2.072391502333272 y[1] (numeric) = -2.072391502332996 absolute error = 2.762234885267389e-13 relative error = 1.332873099584434e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.889999999999907 y[1] (closed_form) = -2.062331979509001 y[1] (numeric) = -2.062331979508725 absolute error = 2.76667577736589e-13 relative error = 1.341527845591852e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.899999999999906 y[1] (closed_form) = -2.052238886269593 y[1] (numeric) = -2.052238886269315 absolute error = 2.775557561562891e-13 relative error = 1.352453449806759e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.909999999999905 y[1] (closed_form) = -2.042112278397844 y[1] (numeric) = -2.042112278397565 absolute error = 2.788880237858393e-13 relative error = 1.365684084739176e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.919999999999904 y[1] (closed_form) = -2.031952211888184 y[1] (numeric) = -2.031952211887904 absolute error = 2.802202914153895e-13 relative error = 1.379069299838483e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.929999999999902 y[1] (closed_form) = -2.021758742946169 y[1] (numeric) = -2.021758742945886 absolute error = 2.828848266744899e-13 relative error = 1.399201698330541e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.939999999999901 y[1] (closed_form) = -2.011531927987976 y[1] (numeric) = -2.011531927987692 absolute error = 2.833289158843399e-13 relative error = 1.408523086022991e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9499999999999 y[1] (closed_form) = -2.001271823639899 y[1] (numeric) = -2.001271823639614 absolute error = 2.842170943040401e-13 relative error = 1.420182360770503e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999899 y[1] (closed_form) = -1.990978486737833 y[1] (numeric) = -1.990978486737547 absolute error = 2.855493619335903e-13 relative error = 1.434216209947379e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999898 y[1] (closed_form) = -1.980651974326768 y[1] (numeric) = -1.980651974326481 absolute error = 2.871036741680655e-13 relative error = 1.449541251514685e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999897 y[1] (closed_form) = -1.970292343660273 y[1] (numeric) = -1.970292343659985 absolute error = 2.879918525877656e-13 relative error = 1.461670667880454e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999896 y[1] (closed_form) = -1.959899652199981 y[1] (numeric) = -1.959899652199692 absolute error = 2.891020756123908e-13 relative error = 1.475086111107141e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999895 y[1] (closed_form) = -1.949473957615071 y[1] (numeric) = -1.949473957614781 absolute error = 2.90656387846866e-13 relative error = 1.49094778471648e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.009999999999894 y[1] (closed_form) = -1.939015317781752 y[1] (numeric) = -1.939015317781461 absolute error = 2.917666108714911e-13 relative error = 1.50471534802146e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999893 y[1] (closed_form) = -1.928523790782738 y[1] (numeric) = -1.928523790782446 absolute error = 2.926547892911913e-13 relative error = 1.517506761855451e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999891 y[1] (closed_form) = -1.917999434906729 y[1] (numeric) = -1.917999434906435 absolute error = 2.942091015256665e-13 relative error = 1.533937373344292e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.03999999999989 y[1] (closed_form) = -1.907442308647883 y[1] (numeric) = -1.907442308647588 absolute error = 2.950972799453666e-13 relative error = 1.547083644980856e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999889 y[1] (closed_form) = -1.896852470705294 y[1] (numeric) = -1.896852470704997 absolute error = 2.964295475749168e-13 relative error = 1.562744347032416e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999888 y[1] (closed_form) = -1.886229979982457 y[1] (numeric) = -1.88622997998216 absolute error = 2.973177259946169e-13 relative error = 1.576253845765839e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999887 y[1] (closed_form) = -1.875574895586746 y[1] (numeric) = -1.875574895586448 absolute error = 2.986499936241671e-13 relative error = 1.592311745731374e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.079999999999886 y[1] (closed_form) = -1.864887276828876 y[1] (numeric) = -1.864887276828576 absolute error = 3.002043058586423e-13 relative error = 1.609771859075155e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.089999999999885 y[1] (closed_form) = -1.85416718322237 y[1] (numeric) = -1.854167183222069 absolute error = 3.010924842783425e-13 relative error = 1.623869125733698e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.099999999999884 y[1] (closed_form) = -1.843414674483026 y[1] (numeric) = -1.843414674482724 absolute error = 3.019806626980426e-13 relative error = 1.638159155821688e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999883 y[1] (closed_form) = -1.832629810528379 y[1] (numeric) = -1.832629810528076 absolute error = 3.028688411177427e-13 relative error = 1.652646046559836e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999882 y[1] (closed_form) = -1.821812651477158 y[1] (numeric) = -1.821812651476854 absolute error = 3.042011087472929e-13 relative error = 1.66977163376619e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.12999999999988 y[1] (closed_form) = -1.810963257648751 y[1] (numeric) = -1.810963257648445 absolute error = 3.057554209817681e-13 relative error = 1.688357948127248e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.139999999999879 y[1] (closed_form) = -1.800081689562655 y[1] (numeric) = -1.800081689562348 absolute error = 3.068656440063933e-13 relative error = 1.704731767373007e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.149999999999878 y[1] (closed_form) = -1.789168007937937 y[1] (numeric) = -1.78916800793763 absolute error = 3.075317778211684e-13 relative error = 1.718853547887919e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.159999999999877 y[1] (closed_form) = -1.778222273692688 y[1] (numeric) = -1.778222273692379 absolute error = 3.088640454507185e-13 relative error = 1.736925973879103e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.169999999999876 y[1] (closed_form) = -1.76724454794347 y[1] (numeric) = -1.767244547943159 absolute error = 3.104183576851938e-13 relative error = 1.756510484338036e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.179999999999875 y[1] (closed_form) = -1.756234892004767 y[1] (numeric) = -1.756234892004456 absolute error = 3.11750625314744e-13 relative error = 1.775107798700413e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.189999999999874 y[1] (closed_form) = -1.745193367388439 y[1] (numeric) = -1.745193367388126 absolute error = 3.128608483393691e-13 relative error = 1.792700191197402e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.199999999999873 y[1] (closed_form) = -1.734120035803159 y[1] (numeric) = -1.734120035802844 absolute error = 3.141931159689193e-13 relative error = 1.811830262507754e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.209999999999872 y[1] (closed_form) = -1.723014959153865 y[1] (numeric) = -1.72301495915355 absolute error = 3.153033389935445e-13 relative error = 1.829951256769025e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.219999999999871 y[1] (closed_form) = -1.711878199541201 y[1] (numeric) = -1.711878199540884 absolute error = 3.164135620181696e-13 relative error = 1.848341559013786e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.229999999999869 y[1] (closed_form) = -1.700709819260957 y[1] (numeric) = -1.700709819260639 absolute error = 3.179678742526448e-13 relative error = 1.869618618364994e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.239999999999868 y[1] (closed_form) = -1.689509880803508 y[1] (numeric) = -1.689509880803189 absolute error = 3.195221864871201e-13 relative error = 1.891212298416151e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.249999999999867 y[1] (closed_form) = -1.678278446853254 y[1] (numeric) = -1.678278446852933 absolute error = 3.210764987215953e-13 relative error = 1.913130084722286e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.259999999999866 y[1] (closed_form) = -1.667015580288052 y[1] (numeric) = -1.66701558028773 absolute error = 3.219646771412954e-13 relative error = 1.931383731192611e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.269999999999865 y[1] (closed_form) = -1.655721344178656 y[1] (numeric) = -1.655721344178332 absolute error = 3.237410339806956e-13 relative error = 1.955286951629485e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.279999999999864 y[1] (closed_form) = -1.64439580178814 y[1] (numeric) = -1.644395801787816 absolute error = 3.241851231905457e-13 relative error = 1.971454335008774e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.289999999999863 y[1] (closed_form) = -1.633039016571342 y[1] (numeric) = -1.633039016571016 absolute error = 3.255173908200959e-13 relative error = 1.993322801947122e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.299999999999862 y[1] (closed_form) = -1.621651052174278 y[1] (numeric) = -1.621651052173951 absolute error = 3.266276138447211e-13 relative error = 2.014167063911716e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.309999999999861 y[1] (closed_form) = -1.610231972433581 y[1] (numeric) = -1.610231972433253 absolute error = 3.281819260791963e-13 relative error = 2.038103401854624e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.31999999999986 y[1] (closed_form) = -1.598781841375921 y[1] (numeric) = -1.598781841375592 absolute error = 3.292921491038214e-13 relative error = 2.059644040117635e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.329999999999858 y[1] (closed_form) = -1.587300723217429 y[1] (numeric) = -1.587300723217099 absolute error = 3.306244167333716e-13 relative error = 2.082934959313834e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.339999999999857 y[1] (closed_form) = -1.57578868236312 y[1] (numeric) = -1.575788682362788 absolute error = 3.319566843629218e-13 relative error = 2.106606603273133e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.349999999999856 y[1] (closed_form) = -1.564245783406314 y[1] (numeric) = -1.56424578340598 absolute error = 3.33510996597397e-13 relative error = 2.132088193142774e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.359999999999855 y[1] (closed_form) = -1.552672091128052 y[1] (numeric) = -1.552672091127717 absolute error = 3.348432642269472e-13 relative error = 2.156561363730548e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.369999999999854 y[1] (closed_form) = -1.541067670496515 y[1] (numeric) = -1.541067670496179 absolute error = 3.355093980417223e-13 relative error = 2.177123071653465e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.379999999999853 y[1] (closed_form) = -1.529432586666442 y[1] (numeric) = -1.529432586666105 absolute error = 3.370637102761975e-13 relative error = 2.203848101673203e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.389999999999852 y[1] (closed_form) = -1.517766904978537 y[1] (numeric) = -1.517766904978199 absolute error = 3.383959779057477e-13 relative error = 2.229564874525532e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.399999999999851 y[1] (closed_form) = -1.506070690958887 y[1] (numeric) = -1.506070690958547 absolute error = 3.399502901402229e-13 relative error = 2.257200091476337e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.40999999999985 y[1] (closed_form) = -1.494344010318367 y[1] (numeric) = -1.494344010318027 absolute error = 3.408384685599231e-13 relative error = 2.280856792053578e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.419999999999848 y[1] (closed_form) = -1.482586928952057 y[1] (numeric) = -1.482586928951714 absolute error = 3.428368700042483e-13 relative error = 2.31242339527826e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.429999999999847 y[1] (closed_form) = -1.470799512938636 y[1] (numeric) = -1.470799512938292 absolute error = 3.437250484239485e-13 relative error = 2.336994576080535e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.439999999999846 y[1] (closed_form) = -1.4589818285398 y[1] (numeric) = -1.458981828539454 absolute error = 3.450573160534987e-13 relative error = 2.365055611411173e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.449999999999845 y[1] (closed_form) = -1.447133942199658 y[1] (numeric) = -1.447133942199311 absolute error = 3.468336728928989e-13 relative error = 2.396693649281063e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.459999999999844 y[1] (closed_form) = -1.435255920544138 y[1] (numeric) = -1.43525592054379 absolute error = 3.479438959175241e-13 relative error = 2.424263791126607e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.469999999999843 y[1] (closed_form) = -1.423347830380385 y[1] (numeric) = -1.423347830380036 absolute error = 3.490541189421492e-13 relative error = 2.452345881251427e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.479999999999842 y[1] (closed_form) = -1.41140973869616 y[1] (numeric) = -1.411409738695809 absolute error = 3.503863865716994e-13 relative error = 2.482527766142392e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.489999999999841 y[1] (closed_form) = -1.399441712659236 y[1] (numeric) = -1.399441712658885 absolute error = 3.514966095963246e-13 relative error = 2.511691672591396e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.49999999999984 y[1] (closed_form) = -1.3874438196168 y[1] (numeric) = -1.387443819616447 absolute error = 3.528288772258747e-13 relative error = 2.543013794413118e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.509999999999839 y[1] (closed_form) = -1.375416127094836 y[1] (numeric) = -1.375416127094482 absolute error = 3.5438318946035e-13 relative error = 2.576552524572186e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.519999999999837 y[1] (closed_form) = -1.363358702797528 y[1] (numeric) = -1.363358702797172 absolute error = 3.554934124849751e-13 relative error = 2.607482621818635e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.529999999999836 y[1] (closed_form) = -1.351271614606642 y[1] (numeric) = -1.351271614606285 absolute error = 3.563815909046752e-13 relative error = 2.637379391769572e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.539999999999835 y[1] (closed_form) = -1.339154930580921 y[1] (numeric) = -1.339154930580563 absolute error = 3.581579477440755e-13 relative error = 2.674507180350728e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.549999999999834 y[1] (closed_form) = -1.327008718955472 y[1] (numeric) = -1.327008718955112 absolute error = 3.597122599785507e-13 relative error = 2.710700049218147e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.559999999999833 y[1] (closed_form) = -1.314833048141146 y[1] (numeric) = -1.314833048140785 absolute error = 3.608224830031759e-13 relative error = 2.744245617443912e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.569999999999832 y[1] (closed_form) = -1.302627986723929 y[1] (numeric) = -1.302627986723567 absolute error = 3.625988398425761e-13 relative error = 2.783594729562823e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.579999999999831 y[1] (closed_form) = -1.290393603464323 y[1] (numeric) = -1.29039360346396 absolute error = 3.632649736573512e-13 relative error = 2.815148592507687e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.58999999999983 y[1] (closed_form) = -1.278129967296727 y[1] (numeric) = -1.278129967296362 absolute error = 3.648192858918264e-13 relative error = 2.854320728144943e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.599999999999829 y[1] (closed_form) = -1.265837147328812 y[1] (numeric) = -1.265837147328445 absolute error = 3.663735981263017e-13 relative error = 2.894318585131023e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.609999999999828 y[1] (closed_form) = -1.253515212840907 y[1] (numeric) = -1.253515212840539 absolute error = 3.679279103607769e-13 relative error = 2.935169087632552e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.619999999999826 y[1] (closed_form) = -1.24116423328537 y[1] (numeric) = -1.241164233285001 absolute error = 3.68816088780477e-13 relative error = 2.971533330478097e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.629999999999825 y[1] (closed_form) = -1.228784278285965 y[1] (numeric) = -1.228784278285595 absolute error = 3.701483564100272e-13 relative error = 3.012313576524174e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.639999999999824 y[1] (closed_form) = -1.216375417637235 y[1] (numeric) = -1.216375417636864 absolute error = 3.712585794346523e-13 relative error = 3.052171016048717e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.649999999999823 y[1] (closed_form) = -1.203937721303874 y[1] (numeric) = -1.203937721303501 absolute error = 3.730349362740526e-13 relative error = 3.098457085222422e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.659999999999822 y[1] (closed_form) = -1.191471259420095 y[1] (numeric) = -1.191471259419719 absolute error = 3.752553823233029e-13 relative error = 3.149512666431793e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.669999999999821 y[1] (closed_form) = -1.178976102289002 y[1] (numeric) = -1.178976102288625 absolute error = 3.763656053479281e-13 relative error = 3.19230902659696e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.67999999999982 y[1] (closed_form) = -1.166452320381957 y[1] (numeric) = -1.16645232038158 absolute error = 3.770317391627032e-13 relative error = 3.232294475947749e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.689999999999819 y[1] (closed_form) = -1.153899984337944 y[1] (numeric) = -1.153899984337565 absolute error = 3.788080960021034e-13 relative error = 3.282850343562891e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.699999999999818 y[1] (closed_form) = -1.141319164962935 y[1] (numeric) = -1.141319164962555 absolute error = 3.799183190267286e-13 relative error = 3.32876491247798e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.709999999999817 y[1] (closed_form) = -1.128709933229251 y[1] (numeric) = -1.128709933228869 absolute error = 3.810285420513537e-13 relative error = 3.375787975580468e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.719999999999815 y[1] (closed_form) = -1.116072360274923 y[1] (numeric) = -1.11607236027454 absolute error = 3.825828542858289e-13 relative error = 3.42793951273542e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.729999999999814 y[1] (closed_form) = -1.103406517403055 y[1] (numeric) = -1.103406517402671 absolute error = 3.836930773104541e-13 relative error = 3.477350108584666e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.739999999999813 y[1] (closed_form) = -1.09071247608118 y[1] (numeric) = -1.090712476080794 absolute error = 3.852473895449293e-13 relative error = 3.53207099023094e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.749999999999812 y[1] (closed_form) = -1.077990307940615 y[1] (numeric) = -1.077990307940228 absolute error = 3.865796571744795e-13 relative error = 3.586114404989398e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.759999999999811 y[1] (closed_form) = -1.065240084775819 y[1] (numeric) = -1.065240084775431 absolute error = 3.881339694089547e-13 relative error = 3.643629027447252e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.76999999999981 y[1] (closed_form) = -1.052461878543748 y[1] (numeric) = -1.052461878543359 absolute error = 3.896882816434299e-13 relative error = 3.70263559743016e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.779999999999809 y[1] (closed_form) = -1.039655761363204 y[1] (numeric) = -1.039655761362813 absolute error = 3.910205492729801e-13 relative error = 3.761057879006714e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.789999999999808 y[1] (closed_form) = -1.026821805514186 y[1] (numeric) = -1.026821805513793 absolute error = 3.925748615074554e-13 relative error = 3.823203397115934e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.799999999999807 y[1] (closed_form) = -1.013960083437243 y[1] (numeric) = -1.013960083436849 absolute error = 3.936850845320805e-13 relative error = 3.882648744884707e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.809999999999806 y[1] (closed_form) = -1.00107066773282 y[1] (numeric) = -1.001070667732425 absolute error = 3.950173521616307e-13 relative error = 3.945948721644681e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.819999999999804 y[1] (closed_form) = -0.9881536311606021 y[1] (numeric) = -0.9881536311602062 absolute error = 3.959055305813308e-13 relative error = 4.00651799575268e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.829999999999803 y[1] (closed_form) = -0.9752090466388654 y[1] (numeric) = -0.9752090466384676 absolute error = 3.977929097231936e-13 relative error = 4.07905270253817e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.839999999999802 y[1] (closed_form) = -0.9622369872438148 y[1] (numeric) = -0.9622369872434157 absolute error = 3.991251773527438e-13 relative error = 4.147888541428642e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.849999999999801 y[1] (closed_form) = -0.9492375262089305 y[1] (numeric) = -0.9492375262085299 absolute error = 4.00679489587219e-13 relative error = 4.221066682724341e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.8599999999998 y[1] (closed_form) = -0.9362107369243065 y[1] (numeric) = -0.9362107369239042 absolute error = 4.022338018216942e-13 relative error = 4.296402358545213e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.869999999999799 y[1] (closed_form) = -0.923156692935991 y[1] (numeric) = -0.9231566929355876 absolute error = 4.034550471487819e-13 relative error = 4.370385333671153e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.879999999999798 y[1] (closed_form) = -0.9100754679453251 y[1] (numeric) = -0.9100754679449202 absolute error = 4.048983370807946e-13 relative error = 4.449063306748971e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.889999999999797 y[1] (closed_form) = -0.8969671358082776 y[1] (numeric) = -0.8969671358078718 absolute error = 4.057865155004947e-13 relative error = 4.523984205227667e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.899999999999796 y[1] (closed_form) = -0.8838317705347831 y[1] (numeric) = -0.8838317705343758 absolute error = 4.073408277349699e-13 relative error = 4.60880499338125e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.909999999999795 y[1] (closed_form) = -0.8706694462880729 y[1] (numeric) = -0.8706694462876641 absolute error = 4.087841176669826e-13 relative error = 4.695055275107596e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.919999999999793 y[1] (closed_form) = -0.8574802373840096 y[1] (numeric) = -0.8574802373835995 absolute error = 4.101163852965328e-13 relative error = 4.782808599154553e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.929999999999792 y[1] (closed_form) = -0.8442642182904179 y[1] (numeric) = -0.8442642182900059 absolute error = 4.120037644383956e-13 relative error = 4.880033471899086e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.939999999999791 y[1] (closed_form) = -0.8310214636264128 y[1] (numeric) = -0.8310214636259994 absolute error = 4.134470543704083e-13 relative error = 4.975166977832406e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.94999999999979 y[1] (closed_form) = -0.8177520481617306 y[1] (numeric) = -0.8177520481613159 absolute error = 4.147793219999585e-13 relative error = 5.072189338227443e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.959999999999789 y[1] (closed_form) = -0.8044560468160546 y[1] (numeric) = -0.8044560468156383 absolute error = 4.163336342344337e-13 relative error = 5.175343461985708e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.969999999999788 y[1] (closed_form) = -0.7911335346583404 y[1] (numeric) = -0.7911335346579226 absolute error = 4.177769241664464e-13 relative error = 5.280738407162426e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.979999999999787 y[1] (closed_form) = -0.7777845869061411 y[1] (numeric) = -0.7777845869057217 absolute error = 4.193312364009216e-13 relative error = 5.391354411752111e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.989999999999786 y[1] (closed_form) = -0.7644092789249293 y[1] (numeric) = -0.7644092789245087 absolute error = 4.205524817280093e-13 relative error = 5.501666362808643e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.999999999999785 y[1] (closed_form) = -0.7510076862274213 y[1] (numeric) = -0.7510076862269992 absolute error = 4.221067939624845e-13 relative error = 5.620538933268141e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.009999999999784 y[1] (closed_form) = -0.7375798844728938 y[1] (numeric) = -0.7375798844724701 absolute error = 4.236611061969597e-13 relative error = 5.743935200994888e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.019999999999782 y[1] (closed_form) = -0.724125949466506 y[1] (numeric) = -0.7241259494660809 absolute error = 4.251043961289724e-13 relative error = 5.870586414451308e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.029999999999781 y[1] (closed_form) = -0.7106459571586163 y[1] (numeric) = -0.7106459571581895 absolute error = 4.268807529683727e-13 relative error = 6.006939864615213e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.03999999999978 y[1] (closed_form) = -0.6971399836440977 y[1] (numeric) = -0.6971399836436696 absolute error = 4.281019982954604e-13 relative error = 6.140832664017935e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.049999999999779 y[1] (closed_form) = -0.6836081051616552 y[1] (numeric) = -0.6836081051612258 absolute error = 4.29323243622548e-13 relative error = 6.280253852768824e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.059999999999778 y[1] (closed_form) = -0.6700503980931376 y[1] (numeric) = -0.6700503980927067 absolute error = 4.308775558570233e-13 relative error = 6.430524585661553e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.069999999999777 y[1] (closed_form) = -0.6564669389628512 y[1] (numeric) = -0.656466938962419 absolute error = 4.322098234865734e-13 relative error = 6.58387799649773e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.079999999999776 y[1] (closed_form) = -0.6428578044368709 y[1] (numeric) = -0.6428578044364371 absolute error = 4.337641357210487e-13 relative error = 6.747435167268699e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.089999999999775 y[1] (closed_form) = -0.6292230713223494 y[1] (numeric) = -0.6292230713219141 absolute error = 4.353184479555239e-13 relative error = 6.918348480780853e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.099999999999774 y[1] (closed_form) = -0.6155628165668274 y[1] (numeric) = -0.6155628165663906 absolute error = 4.368727601899991e-13 relative error = 7.097127188847522e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.109999999999773 y[1] (closed_form) = -0.6018771172575399 y[1] (numeric) = -0.6018771172571012 absolute error = 4.386491170293993e-13 relative error = 7.28801784371051e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.119999999999771 y[1] (closed_form) = -0.5881660506207218 y[1] (numeric) = -0.5881660506202819 absolute error = 4.39870362356487e-13 relative error = 7.478676504573313e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.12999999999977 y[1] (closed_form) = -0.5744296940209166 y[1] (numeric) = -0.5744296940204749 absolute error = 4.416467191958873e-13 relative error = 7.688438181258187e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.139999999999769 y[1] (closed_form) = -0.5606681249602739 y[1] (numeric) = -0.5606681249598309 absolute error = 4.429789868254375e-13 relative error = 7.900912627355528e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.149999999999768 y[1] (closed_form) = -0.5468814210778576 y[1] (numeric) = -0.5468814210774133 absolute error = 4.443112544549876e-13 relative error = 8.124453260439663e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.159999999999767 y[1] (closed_form) = -0.5330696601489449 y[1] (numeric) = -0.5330696601484991 absolute error = 4.457545443870004e-13 relative error = 8.362031788912019e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.169999999999766 y[1] (closed_form) = -0.5192329200843251 y[1] (numeric) = -0.5192329200838777 absolute error = 4.474198789239381e-13 relative error = 8.616939751263762e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.179999999999765 y[1] (closed_form) = -0.5053712789296001 y[1] (numeric) = -0.5053712789291515 absolute error = 4.486411242510258e-13 relative error = 8.877455901357682e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.189999999999764 y[1] (closed_form) = -0.4914848148644821 y[1] (numeric) = -0.4914848148640319 absolute error = 4.50195436485501e-13 relative error = 9.159905308765929e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.199999999999763 y[1] (closed_form) = -0.477573606202089 y[1] (numeric) = -0.477573606201637 absolute error = 4.519717933249012e-13 relative error = 9.463919015944233e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.209999999999761 y[1] (closed_form) = -0.4636377313882396 y[1] (numeric) = -0.463637731387786 absolute error = 4.535816167106077e-13 relative error = 9.783104048768388e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.21999999999976 y[1] (closed_form) = -0.449677269000748 y[1] (numeric) = -0.4496772690002933 absolute error = 4.547473508864641e-13 relative error = 1.011274934792641e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.229999999999759 y[1] (closed_form) = -0.4356922977487176 y[1] (numeric) = -0.4356922977482611 absolute error = 4.565792188770956e-13 relative error = 1.047939615265874e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.239999999999758 y[1] (closed_form) = -0.4216828964718295 y[1] (numeric) = -0.4216828964713716 absolute error = 4.579114865066458e-13 relative error = 1.085914298013831e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.249999999999757 y[1] (closed_form) = -0.407649144139637 y[1] (numeric) = -0.4076491441391774 absolute error = 4.596878433460461e-13 relative error = 1.127655607658e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.259999999999756 y[1] (closed_form) = -0.393591119850851 y[1] (numeric) = -0.3935911198503897 absolute error = 4.612976667317525e-13 relative error = 1.17202254691762e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.269999999999755 y[1] (closed_form) = -0.3795089028326308 y[1] (numeric) = -0.379508902832168 absolute error = 4.628519789662278e-13 relative error = 1.219607696977671e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.279999999999754 y[1] (closed_form) = -0.36540257243987 y[1] (numeric) = -0.3654025724394058 absolute error = 4.641287354445467e-13 relative error = 1.270184641409231e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.289999999999753 y[1] (closed_form) = -0.351272208154483 y[1] (numeric) = -0.3512722081540171 absolute error = 4.659050922839469e-13 relative error = 1.326336332531751e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.299999999999752 y[1] (closed_form) = -0.337117889584688 y[1] (numeric) = -0.3371178895842207 absolute error = 4.672928710647284e-13 relative error = 1.386140829371023e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.30999999999975 y[1] (closed_form) = -0.322939696464293 y[1] (numeric) = -0.3229396964638239 absolute error = 4.690692279041286e-13 relative error = 1.452497890596095e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.319999999999749 y[1] (closed_form) = -0.3087377086519754 y[1] (numeric) = -0.308737708651505 absolute error = 4.703459843824476e-13 relative error = 1.52344845220266e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.329999999999748 y[1] (closed_form) = -0.2945120061305664 y[1] (numeric) = -0.2945120061300943 absolute error = 4.720668300706166e-13 relative error = 1.602878049940465e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.339999999999747 y[1] (closed_form) = -0.2802626690063279 y[1] (numeric) = -0.2802626690058545 absolute error = 4.733990977001667e-13 relative error = 1.689126487586108e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.349999999999746 y[1] (closed_form) = -0.2659897775082345 y[1] (numeric) = -0.2659897775077594 absolute error = 4.751199433883357e-13 relative error = 1.786233846425271e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.359999999999745 y[1] (closed_form) = -0.2516934119872489 y[1] (numeric) = -0.2516934119867721 absolute error = 4.767852779252735e-13 relative error = 1.894309724520831e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.369999999999744 y[1] (closed_form) = -0.2373736529156005 y[1] (numeric) = -0.2373736529151222 absolute error = 4.782840790085174e-13 relative error = 2.014899602941923e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.379999999999743 y[1] (closed_form) = -0.2230305808860604 y[1] (numeric) = -0.2230305808855808 absolute error = 4.796441022136833e-13 relative error = 2.150575496454986e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.389999999999742 y[1] (closed_form) = -0.2086642766112168 y[1] (numeric) = -0.2086642766107355 absolute error = 4.812816811750054e-13 relative error = 2.306488149247172e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.399999999999741 y[1] (closed_form) = -0.1942748209227474 y[1] (numeric) = -0.1942748209222643 absolute error = 4.830857935900212e-13 relative error = 2.486610417631621e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.409999999999739 y[1] (closed_form) = -0.1798622947706923 y[1] (numeric) = -0.1798622947702077 absolute error = 4.846123502488808e-13 relative error = 2.694352092342181e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.419999999999738 y[1] (closed_form) = -0.1654267792227264 y[1] (numeric) = -0.1654267792222402 absolute error = 4.862499292102029e-13 relative error = 2.939366476787464e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.429999999999737 y[1] (closed_form) = -0.1509683554634287 y[1] (numeric) = -0.1509683554629409 absolute error = 4.878319970202938e-13 relative error = 3.231352660117362e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.439999999999736 y[1] (closed_form) = -0.1364871047935521 y[1] (numeric) = -0.1364871047930625 absolute error = 4.895805982840784e-13 relative error = 3.587009915878933e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.449999999999735 y[1] (closed_form) = -0.1219831086292913 y[1] (numeric) = -0.1219831086288001 absolute error = 4.911626660941693e-13 relative error = 4.026480974401307e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.459999999999734 y[1] (closed_form) = -0.1074564485015508 y[1] (numeric) = -0.1074564485010581 absolute error = 4.926892227530288e-13 relative error = 4.58501308784571e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.469999999999733 y[1] (closed_form) = -0.09290720605521074 y[1] (numeric) = -0.09290720605471633 absolute error = 4.944100684411978e-13 relative error = 5.321547051446056e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.479999999999732 y[1] (closed_form) = -0.07833546304839167 y[1] (numeric) = -0.07833546304789549 absolute error = 4.961864252805981e-13 relative error = 6.334122579630113e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.489999999999731 y[1] (closed_form) = -0.06374130135171874 y[1] (numeric) = -0.06374130135122123 absolute error = 4.975048151223405e-13 relative error = 7.805062095879622e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.49999999999973 y[1] (closed_form) = -0.04912480294758637 y[1] (numeric) = -0.04912480294708735 absolute error = 4.990174939933922e-13 relative error = 1.015815767293394e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.509999999999728 y[1] (closed_form) = -0.03448604992941862 y[1] (numeric) = -0.03448604992891789 absolute error = 5.007244618937534e-13 relative error = 1.451962352657288e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.519999999999727 y[1] (closed_form) = -0.01982512450093066 y[1] (numeric) = -0.0198251245004284 absolute error = 5.022614268934689e-13 relative error = 2.533459130962285e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.529999999999726 y[1] (closed_form) = -0.005142108975389803 y[1] (numeric) = -0.005142108974885973 absolute error = 5.038296169157519e-13 relative error = 9.798112395654908e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.539999999999725 y[1] (closed_form) = 0.009562914225125896 y[1] (numeric) = 0.009562914225631465 absolute error = 5.055695445621566e-13 relative error = 5.286772762572811e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.549999999999724 y[1] (closed_form) = 0.02428986257046972 y[1] (numeric) = 0.02428986257097701 absolute error = 5.072886555268497e-13 relative error = 2.088478903720037e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.559999999999723 y[1] (closed_form) = 0.03903865342316859 y[1] (numeric) = 0.03903865342367754 absolute error = 5.089470511698835e-13 relative error = 1.303700324017412e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.569999999999722 y[1] (closed_form) = 0.05380920403916689 y[1] (numeric) = 0.05380920403967741 absolute error = 5.105221800860704e-13 relative error = 9.4876367194443e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.579999999999721 y[1] (closed_form) = 0.06860143156857124 y[1] (numeric) = 0.06860143156908324 absolute error = 5.120071033815066e-13 relative error = 7.463504648146079e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.58999999999972 y[1] (closed_form) = 0.08341525305639585 y[1] (numeric) = 0.0834152530569095 absolute error = 5.136446823428287e-13 relative error = 6.157682959920542e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.599999999999719 y[1] (closed_form) = 0.09825058544330978 y[1] (numeric) = 0.09825058544382508 absolute error = 5.152961390919586e-13 relative error = 5.244713166511181e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.609999999999717 y[1] (closed_form) = 0.1131073455663838 y[1] (numeric) = 0.1131073455669008 absolute error = 5.170308625679354e-13 relative error = 4.571151944013088e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.619999999999716 y[1] (closed_form) = 0.1279854501598394 y[1] (numeric) = 0.1279854501603581 absolute error = 5.186961971048731e-13 relative error = 4.052774721322463e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.629999999999715 y[1] (closed_form) = 0.142884815855798 y[1] (numeric) = 0.1428848158563182 absolute error = 5.201394870368858e-13 relative error = 3.640271248708611e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.639999999999714 y[1] (closed_form) = 0.1578053591850304 y[1] (numeric) = 0.1578053591855523 absolute error = 5.219158438762861e-13 relative error = 3.307339158642439e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.649999999999713 y[1] (closed_form) = 0.1727469965777095 y[1] (numeric) = 0.1727469965782331 absolute error = 5.236089339888395e-13 relative error = 3.03107402364183e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.659999999999712 y[1] (closed_form) = 0.1877096443641615 y[1] (numeric) = 0.187709644364687 absolute error = 5.254963131307022e-13 relative error = 2.799516854398946e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.669999999999711 y[1] (closed_form) = 0.2026932187756196 y[1] (numeric) = 0.2026932187761467 absolute error = 5.270228697895618e-13 relative error = 2.600101142865433e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.67999999999971 y[1] (closed_form) = 0.2176976359449767 y[1] (numeric) = 0.2176976359455052 absolute error = 5.285216708728058e-13 relative error = 2.427778641594391e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.689999999999709 y[1] (closed_form) = 0.2327228119075408 y[1] (numeric) = 0.2327228119080711 absolute error = 5.30298027712206e-13 relative error = 2.278668014388249e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.699999999999708 y[1] (closed_form) = 0.2477686626017921 y[1] (numeric) = 0.2477686626023239 absolute error = 5.3179682879545e-13 relative error = 2.146344187400895e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.709999999999706 y[1] (closed_form) = 0.2628351038701366 y[1] (numeric) = 0.2628351038706703 absolute error = 5.336286967860815e-13 relative error = 2.030279399245469e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.719999999999705 y[1] (closed_form) = 0.2779220514596668 y[1] (numeric) = 0.277922051460202 absolute error = 5.352940313230192e-13 relative error = 1.926058146561657e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.729999999999704 y[1] (closed_form) = 0.2930294210229172 y[1] (numeric) = 0.2930294210234542 absolute error = 5.370148770111882e-13 relative error = 1.832631259811927e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.739999999999703 y[1] (closed_form) = 0.3081571281186255 y[1] (numeric) = 0.308157128119164 absolute error = 5.385136780944322e-13 relative error = 1.747529519703762e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.749999999999702 y[1] (closed_form) = 0.3233050882124906 y[1] (numeric) = 0.323305088213031 absolute error = 5.404010572362949e-13 relative error = 1.671489490697774e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.759999999999701 y[1] (closed_form) = 0.3384732166779358 y[1] (numeric) = 0.3384732166784778 absolute error = 5.419553694707702e-13 relative error = 1.60117652672782e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.7699999999997 y[1] (closed_form) = 0.353661428796868 y[1] (numeric) = 0.3536614287974118 absolute error = 5.437872374614017e-13 relative error = 1.537592717733819e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.779999999999699 y[1] (closed_form) = 0.3688696397604421 y[1] (numeric) = 0.3688696397609875 absolute error = 5.453970608471082e-13 relative error = 1.478563161775281e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.789999999999698 y[1] (closed_form) = 0.3840977646698229 y[1] (numeric) = 0.3840977646703697 absolute error = 5.467848396278896e-13 relative error = 1.423556422146625e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.799999999999697 y[1] (closed_form) = 0.3993457185369496 y[1] (numeric) = 0.3993457185374982 absolute error = 5.486722187697524e-13 relative error = 1.373927885792486e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.809999999999695 y[1] (closed_form) = 0.4146134162853017 y[1] (numeric) = 0.414613416285852 absolute error = 5.502820421554588e-13 relative error = 1.327217163124315e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.819999999999694 y[1] (closed_form) = 0.4299007727506634 y[1] (numeric) = 0.4299007727512152 absolute error = 5.517808432387028e-13 relative error = 1.283507446865484e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.829999999999693 y[1] (closed_form) = 0.4452077026818899 y[1] (numeric) = 0.4452077026824435 absolute error = 5.536127112293343e-13 relative error = 1.243493110955679e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.839999999999692 y[1] (closed_form) = 0.4605341207416762 y[1] (numeric) = 0.4605341207422317 absolute error = 5.554445792199658e-13 relative error = 1.206087788512693e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.849999999999691 y[1] (closed_form) = 0.4758799415073243 y[1] (numeric) = 0.4758799415078811 absolute error = 5.568323580007473e-13 relative error = 1.170111007908866e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.85999999999969 y[1] (closed_form) = 0.4912450794715104 y[1] (numeric) = 0.491245079472069 absolute error = 5.586087148401475e-13 relative error = 1.137128366641571e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.869999999999689 y[1] (closed_form) = 0.5066294490430574 y[1] (numeric) = 0.5066294490436181 absolute error = 5.606626274357041e-13 relative error = 1.106652265269433e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.879999999999688 y[1] (closed_form) = 0.5220329645477038 y[1] (numeric) = 0.5220329645482662 absolute error = 5.624389842751043e-13 relative error = 1.077401280132585e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.889999999999687 y[1] (closed_form) = 0.5374555402288744 y[1] (numeric) = 0.5374555402294384 absolute error = 5.639932965095795e-13 relative error = 1.049376654056639e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.899999999999685 y[1] (closed_form) = 0.5528970902484518 y[1] (numeric) = 0.5528970902490177 absolute error = 5.658806756514423e-13 relative error = 1.023482824619598e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.909999999999684 y[1] (closed_form) = 0.5683575286875505 y[1] (numeric) = 0.5683575286881183 absolute error = 5.677680547933051e-13 relative error = 9.989628466862985e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.919999999999683 y[1] (closed_form) = 0.5838367695472897 y[1] (numeric) = 0.5838367695478589 absolute error = 5.692113447253178e-13 relative error = 9.749494626155312e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.929999999999682 y[1] (closed_form) = 0.5993347267495653 y[1] (numeric) = 0.5993347267501363 absolute error = 5.70987701564718e-13 relative error = 9.527025151060664e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.939999999999681 y[1] (closed_form) = 0.6148513141378277 y[1] (numeric) = 0.6148513141384006 absolute error = 5.728750807065808e-13 relative error = 9.317294564294657e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.94999999999968 y[1] (closed_form) = 0.6303864454778551 y[1] (numeric) = 0.6303864454784294 absolute error = 5.743183706385935e-13 relative error = 9.110576135615352e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.959999999999679 y[1] (closed_form) = 0.6459400344585295 y[1] (numeric) = 0.6459400344591056 absolute error = 5.760947274779937e-13 relative error = 8.918702925123926e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.969999999999678 y[1] (closed_form) = 0.6615119946926157 y[1] (numeric) = 0.6615119946931933 absolute error = 5.776490397124689e-13 relative error = 8.732253448871849e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.979999999999677 y[1] (closed_form) = 0.6771022397175358 y[1] (numeric) = 0.6771022397181153 absolute error = 5.795364188543317e-13 relative error = 8.55906811201946e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.989999999999676 y[1] (closed_form) = 0.6927106829961498 y[1] (numeric) = 0.6927106829967311 absolute error = 5.81312775693732e-13 relative error = 8.391855214061467e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.999999999999674 y[1] (closed_form) = 0.7083372379175332 y[1] (numeric) = 0.7083372379181161 absolute error = 5.828670879282072e-13 relative error = 8.228666470250804e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.009999999999677 y[1] (closed_form) = 0.7239818177977633 y[1] (numeric) = 0.723981817798341 absolute error = 5.777600620149315e-13 relative error = 7.980311767668214e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.019999999999681 y[1] (closed_form) = 0.7396443358806797 y[1] (numeric) = 0.7396443358812521 absolute error = 5.724309914967307e-13 relative error = 7.739273644476012e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.029999999999684 y[1] (closed_form) = 0.7553247053386847 y[1] (numeric) = 0.755324705339252 absolute error = 5.67323965583455e-13 relative error = 7.510994431581172e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.039999999999687 y[1] (closed_form) = 0.7710228392735183 y[1] (numeric) = 0.7710228392740802 absolute error = 5.618838727627917e-13 relative error = 7.287512692778545e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.049999999999691 y[1] (closed_form) = 0.7867386507170403 y[1] (numeric) = 0.7867386507175971 absolute error = 5.56776846849516e-13 relative error = 7.07702419783323e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.059999999999694 y[1] (closed_form) = 0.8024720526320132 y[1] (numeric) = 0.8024720526325645 absolute error = 5.513367540288527e-13 relative error = 6.870479192646443e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.069999999999697 y[1] (closed_form) = 0.8182229579128847 y[1] (numeric) = 0.8182229579134307 absolute error = 5.46007683510652e-13 relative error = 6.673091707221259e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.079999999999701 y[1] (closed_form) = 0.8339912793865728 y[1] (numeric) = 0.8339912793871136 absolute error = 5.407896352949138e-13 relative error = 6.484355995816668e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.089999999999704 y[1] (closed_form) = 0.8497769298132497 y[1] (numeric) = 0.8497769298137853 absolute error = 5.355715870791755e-13 relative error = 6.302496199760034e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.099999999999707 y[1] (closed_form) = 0.8655798218871273 y[1] (numeric) = 0.8655798218876575 absolute error = 5.301314942585122e-13 relative error = 6.124582399607301e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.109999999999711 y[1] (closed_form) = 0.881399868237242 y[1] (numeric) = 0.8813998682377669 absolute error = 5.24913446042774e-13 relative error = 5.955451832464827e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.119999999999714 y[1] (closed_form) = 0.8972369814282424 y[1] (numeric) = 0.8972369814287622 absolute error = 5.198064201294983e-13 relative error = 5.793412787132988e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.129999999999717 y[1] (closed_form) = 0.9130910739611757 y[1] (numeric) = 0.9130910739616901 absolute error = 5.14366327308835e-13 relative error = 5.633242312592201e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.139999999999721 y[1] (closed_form) = 0.9289620582742744 y[1] (numeric) = 0.9289620582747835 absolute error = 5.091482790930968e-13 relative error = 5.480829648079897e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.149999999999724 y[1] (closed_form) = 0.9448498467437453 y[1] (numeric) = 0.9448498467442494 absolute error = 5.041522754822836e-13 relative error = 5.335792530630698e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.159999999999727 y[1] (closed_form) = 0.9607543516845586 y[1] (numeric) = 0.9607543516850573 absolute error = 4.987121826616203e-13 relative error = 5.190839695778562e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.169999999999731 y[1] (closed_form) = 0.9766754853512349 y[1] (numeric) = 0.9766754853517283 absolute error = 4.933831121434196e-13 relative error = 5.051658606604502e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.179999999999734 y[1] (closed_form) = 0.9926131599386374 y[1] (numeric) = 0.9926131599391256 absolute error = 4.881650639276813e-13 relative error = 4.917978963303885e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.189999999999737 y[1] (closed_form) = 1.00856728758276 y[1] (numeric) = 1.008567287583244 absolute error = 4.831690603168681e-13 relative error = 4.790647746219119e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.199999999999741 y[1] (closed_form) = 1.024537780361522 y[1] (numeric) = 1.024537780361999 absolute error = 4.773959005888173e-13 relative error = 4.659622219303243e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.209999999999744 y[1] (closed_form) = 1.040524550295552 y[1] (numeric) = 1.040524550296024 absolute error = 4.720668300706166e-13 relative error = 4.536815877496884e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.219999999999748 y[1] (closed_form) = 1.056527509348988 y[1] (numeric) = 1.056527509349454 absolute error = 4.662936703425657e-13 relative error = 4.413455080122685e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.229999999999751 y[1] (closed_form) = 1.072546569430263 y[1] (numeric) = 1.072546569430724 absolute error = 4.6118664442929e-13 relative error = 4.299921864225182e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.239999999999754 y[1] (closed_form) = 1.088581642392904 y[1] (numeric) = 1.08858164239336 absolute error = 4.556355293061642e-13 relative error = 4.185588949530628e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.249999999999758 y[1] (closed_form) = 1.10463264003632 y[1] (numeric) = 1.104632640036771 absolute error = 4.503064587879635e-13 relative error = 4.076526824095632e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.259999999999761 y[1] (closed_form) = 1.120699474106599 y[1] (numeric) = 1.120699474107044 absolute error = 4.449773882697627e-13 relative error = 3.970532676697208e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.269999999999764 y[1] (closed_form) = 1.136782056297299 y[1] (numeric) = 1.136782056297739 absolute error = 4.39426273146637e-13 relative error = 3.865527879441783e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.279999999999768 y[1] (closed_form) = 1.152880298250248 y[1] (numeric) = 1.152880298250682 absolute error = 4.336531134185861e-13 relative error = 3.761475619600326e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.289999999999771 y[1] (closed_form) = 1.168994111556334 y[1] (numeric) = 1.168994111556763 absolute error = 4.283240429003854e-13 relative error = 3.664039353715292e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.299999999999774 y[1] (closed_form) = 1.185123407756305 y[1] (numeric) = 1.185123407756728 absolute error = 4.229949723821846e-13 relative error = 3.569206123293149e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.309999999999778 y[1] (closed_form) = 1.201268098341559 y[1] (numeric) = 1.201268098341977 absolute error = 4.174438572590589e-13 relative error = 3.475026580955337e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.319999999999781 y[1] (closed_form) = 1.217428094754949 y[1] (numeric) = 1.217428094755361 absolute error = 4.121147867408581e-13 relative error = 3.385126304513376e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.329999999999784 y[1] (closed_form) = 1.233603308391573 y[1] (numeric) = 1.23360330839198 absolute error = 4.070077608275824e-13 relative error = 3.299340704251654e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.339999999999788 y[1] (closed_form) = 1.249793650599575 y[1] (numeric) = 1.249793650599977 absolute error = 4.019007349143067e-13 relative error = 3.215736731591643e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.349999999999791 y[1] (closed_form) = 1.265999032680943 y[1] (numeric) = 1.265999032681339 absolute error = 3.963496197911809e-13 relative error = 3.130726087142825e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.359999999999794 y[1] (closed_form) = 1.282219365892302 y[1] (numeric) = 1.282219365892693 absolute error = 3.907985046680551e-13 relative error = 3.047828749615684e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.369999999999798 y[1] (closed_form) = 1.298454561445722 y[1] (numeric) = 1.298454561446107 absolute error = 3.854694341498544e-13 relative error = 2.968678655344442e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.379999999999801 y[1] (closed_form) = 1.314704530509509 y[1] (numeric) = 1.314704530509889 absolute error = 3.801403636316536e-13 relative error = 2.891450929163009e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.389999999999804 y[1] (closed_form) = 1.330969184209007 y[1] (numeric) = 1.330969184209382 absolute error = 3.743672039036028e-13 relative error = 2.812741334248761e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.399999999999808 y[1] (closed_form) = 1.347248433627401 y[1] (numeric) = 1.34724843362777 absolute error = 3.692601779903271e-13 relative error = 2.740846964624868e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.409999999999811 y[1] (closed_form) = 1.363542189806513 y[1] (numeric) = 1.363542189806876 absolute error = 3.634870182622763e-13 relative error = 2.66575556649153e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.419999999999814 y[1] (closed_form) = 1.379850363747602 y[1] (numeric) = 1.37985036374796 absolute error = 3.583799923490005e-13 relative error = 2.597238090191599e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.429999999999818 y[1] (closed_form) = 1.396172866412172 y[1] (numeric) = 1.396172866412524 absolute error = 3.526068326209497e-13 relative error = 2.525524174718167e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.439999999999821 y[1] (closed_form) = 1.412509608722764 y[1] (numeric) = 1.412509608723111 absolute error = 3.470557174978239e-13 relative error = 2.457014914126091e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.449999999999824 y[1] (closed_form) = 1.428860501563764 y[1] (numeric) = 1.428860501564106 absolute error = 3.415046023746982e-13 relative error = 2.390048587674941e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.459999999999828 y[1] (closed_form) = 1.445225455782205 y[1] (numeric) = 1.445225455782541 absolute error = 3.359534872515724e-13 relative error = 2.324574936785507e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.469999999999831 y[1] (closed_form) = 1.461604382188564 y[1] (numeric) = 1.461604382188894 absolute error = 3.306244167333716e-13 relative error = 2.262065034577306e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.479999999999834 y[1] (closed_form) = 1.477997191557571 y[1] (numeric) = 1.477997191557896 absolute error = 3.250733016102458e-13 relative error = 2.199417586630668e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.489999999999838 y[1] (closed_form) = 1.494403794629009 y[1] (numeric) = 1.494403794629329 absolute error = 3.195221864871201e-13 relative error = 2.138124833699599e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.499999999999841 y[1] (closed_form) = 1.510824102108517 y[1] (numeric) = 1.510824102108832 absolute error = 3.141931159689193e-13 relative error = 2.079614135956853e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.509999999999844 y[1] (closed_form) = 1.527258024668395 y[1] (numeric) = 1.527258024668704 absolute error = 3.088640454507185e-13 relative error = 2.022343575623251e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.519999999999848 y[1] (closed_form) = 1.543705472948407 y[1] (numeric) = 1.54370547294871 absolute error = 3.030908857226677e-13 relative error = 1.963398401016083e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.529999999999851 y[1] (closed_form) = 1.560166357556585 y[1] (numeric) = 1.560166357556882 absolute error = 2.97539770599542e-13 relative error = 1.907102849375155e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.539999999999854 y[1] (closed_form) = 1.576640589070034 y[1] (numeric) = 1.576640589070326 absolute error = 2.919886554764162e-13 relative error = 1.851967135063057e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.549999999999858 y[1] (closed_form) = 1.593128078035739 y[1] (numeric) = 1.593128078036026 absolute error = 2.868816295631405e-13 relative error = 1.800744293684496e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.559999999999861 y[1] (closed_form) = 1.609628734971366 y[1] (numeric) = 1.609628734971647 absolute error = 2.813305144400147e-13 relative error = 1.747797540685799e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.569999999999864 y[1] (closed_form) = 1.626142470366069 y[1] (numeric) = 1.626142470366345 absolute error = 2.760014439218139e-13 relative error = 1.697277138697951e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.579999999999868 y[1] (closed_form) = 1.642669194681297 y[1] (numeric) = 1.642669194681567 absolute error = 2.704503287986881e-13 relative error = 1.646407747064129e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.589999999999871 y[1] (closed_form) = 1.659208818351598 y[1] (numeric) = 1.659208818351863 absolute error = 2.644551244657123e-13 relative error = 1.593862819078101e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.599999999999874 y[1] (closed_form) = 1.675761251785427 y[1] (numeric) = 1.675761251785686 absolute error = 2.591260539475115e-13 relative error = 1.546318448832897e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.609999999999878 y[1] (closed_form) = 1.69232640536595 y[1] (numeric) = 1.692326405366203 absolute error = 2.533528942194607e-13 relative error = 1.497068729862875e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.619999999999881 y[1] (closed_form) = 1.708904189451852 y[1] (numeric) = 1.708904189452099 absolute error = 2.475797344914099e-13 relative error = 1.448763108075846e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.629999999999884 y[1] (closed_form) = 1.725494514378142 y[1] (numeric) = 1.725494514378384 absolute error = 2.422506639732092e-13 relative error = 1.403949198068096e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.639999999999888 y[1] (closed_form) = 1.742097290456965 y[1] (numeric) = 1.742097290457202 absolute error = 2.369215934550084e-13 relative error = 1.359979116854387e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.649999999999891 y[1] (closed_form) = 1.758712427978403 y[1] (numeric) = 1.758712427978634 absolute error = 2.309263891220326e-13 relative error = 1.313042345345093e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.659999999999894 y[1] (closed_form) = 1.775339837211286 y[1] (numeric) = 1.775339837211511 absolute error = 2.255973186038318e-13 relative error = 1.270727518615261e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.669999999999898 y[1] (closed_form) = 1.791979428403997 y[1] (numeric) = 1.791979428404217 absolute error = 2.20046203480706e-13 relative error = 1.227950499837419e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.679999999999901 y[1] (closed_form) = 1.808631111785283 y[1] (numeric) = 1.808631111785497 absolute error = 2.140509991477302e-13 relative error = 1.183497274557234e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.689999999999904 y[1] (closed_form) = 1.825294797565061 y[1] (numeric) = 1.82529479756527 absolute error = 2.087219286295294e-13 relative error = 1.1434970882948e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.699999999999908 y[1] (closed_form) = 1.841970395935227 y[1] (numeric) = 1.84197039593543 absolute error = 2.031708135064036e-13 relative error = 1.10300802854786e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.709999999999911 y[1] (closed_form) = 1.858657817070462 y[1] (numeric) = 1.85865781707066 absolute error = 1.978417429882029e-13 relative error = 1.064433383978298e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.719999999999914 y[1] (closed_form) = 1.875356971129044 y[1] (numeric) = 1.875356971129237 absolute error = 1.925126724700021e-13 relative error = 1.026538815989264e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.729999999999918 y[1] (closed_form) = 1.892067768253654 y[1] (numeric) = 1.892067768253841 absolute error = 1.865174681370263e-13 relative error = 9.857864039890003e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.739999999999921 y[1] (closed_form) = 1.908790118572185 y[1] (numeric) = 1.908790118572365 absolute error = 1.805222638040505e-13 relative error = 9.457418185876031e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.749999999999925 y[1] (closed_form) = 1.92552393219855 y[1] (numeric) = 1.925523932198725 absolute error = 1.749711486809247e-13 relative error = 9.086937106055274e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.759999999999928 y[1] (closed_form) = 1.942269119233496 y[1] (numeric) = 1.942269119233666 absolute error = 1.69864122767649e-13 relative error = 8.745653271503628e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.769999999999931 y[1] (closed_form) = 1.959025589765407 y[1] (numeric) = 1.959025589765571 absolute error = 1.640909630395981e-13 relative error = 8.376152098107511e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.779999999999935 y[1] (closed_form) = 1.975793253871113 y[1] (numeric) = 1.975793253871272 absolute error = 1.585398479164724e-13 relative error = 8.024111207275858e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.789999999999938 y[1] (closed_form) = 1.992572021616708 y[1] (numeric) = 1.992572021616861 absolute error = 1.527666881884215e-13 relative error = 7.666808854641631e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.799999999999941 y[1] (closed_form) = 2.009361803058348 y[1] (numeric) = 2.009361803058495 absolute error = 1.474376176702208e-13 relative error = 7.337534606550869e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.809999999999945 y[1] (closed_form) = 2.026162508243067 y[1] (numeric) = 2.02616250824321 absolute error = 1.4210854715202e-13 relative error = 7.013679632007684e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.819999999999948 y[1] (closed_form) = 2.042974047209587 y[1] (numeric) = 2.042974047209724 absolute error = 1.367794766338193e-13 relative error = 6.695115722132674e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.829999999999951 y[1] (closed_form) = 2.059796329989124 y[1] (numeric) = 2.059796329989256 absolute error = 1.314504061156185e-13 relative error = 6.381718629254601e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.839999999999955 y[1] (closed_form) = 2.076629266606202 y[1] (numeric) = 2.076629266606327 absolute error = 1.252331571777177e-13 relative error = 6.030597718695547e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.849999999999958 y[1] (closed_form) = 2.093472767079456 y[1] (numeric) = 2.093472767079576 absolute error = 1.194599974496668e-13 relative error = 5.706307687791041e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.859999999999961 y[1] (closed_form) = 2.110326741422452 y[1] (numeric) = 2.110326741422565 absolute error = 1.13686837721616e-13 relative error = 5.387167564629645e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.869999999999965 y[1] (closed_form) = 2.127191099644486 y[1] (numeric) = 2.127191099644594 absolute error = 1.079136779935652e-13 relative error = 5.073059868086165e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.879999999999968 y[1] (closed_form) = 2.144065751751404 y[1] (numeric) = 2.144065751751505 absolute error = 1.016964290556643e-13 relative error = 4.743158131815337e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.889999999999971 y[1] (closed_form) = 2.160950607746403 y[1] (numeric) = 2.160950607746499 absolute error = 9.636735853746359e-14 relative error = 4.459489179993915e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.899999999999975 y[1] (closed_form) = 2.177845577630847 y[1] (numeric) = 2.177845577630936 absolute error = 8.970602038971265e-14 relative error = 4.119025761564724e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.909999999999978 y[1] (closed_form) = 2.194750571405074 y[1] (numeric) = 2.194750571405158 absolute error = 8.43769498715119e-14 relative error = 3.84448925407929e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.919999999999981 y[1] (closed_form) = 2.211665499069208 y[1] (numeric) = 2.211665499069287 absolute error = 7.904787935331115e-14 relative error = 3.574133583337032e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.929999999999985 y[1] (closed_form) = 2.228590270623967 y[1] (numeric) = 2.228590270624041 absolute error = 7.416289804496046e-14 relative error = 3.327794212446064e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.939999999999988 y[1] (closed_form) = 2.245524796071476 y[1] (numeric) = 2.245524796071544 absolute error = 6.794564910705958e-14 relative error = 3.025824930810376e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.949999999999991 y[1] (closed_form) = 2.262468985416072 y[1] (numeric) = 2.262468985416134 absolute error = 6.17284001691587e-14 relative error = 2.728364480002219e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.959999999999995 y[1] (closed_form) = 2.279422748665119 y[1] (numeric) = 2.279422748665175 absolute error = 5.551115123125783e-14 relative error = 2.435316189757534e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.969999999999998 y[1] (closed_form) = 2.296385995829815 y[1] (numeric) = 2.296385995829865 absolute error = 5.018208071305708e-14 relative error = 2.185263313928346e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.980000000000001 y[1] (closed_form) = 2.313358636926003 y[1] (numeric) = 2.313358636926047 absolute error = 4.440892098500626e-14 relative error = 1.919672993030469e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.990000000000005 y[1] (closed_form) = 2.33034058197498 y[1] (numeric) = 2.330340581975019 absolute error = 3.907985046680551e-14 relative error = 1.67700166958793e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + sin ( 0.3 * x + 0.1 ) ; Iterations = 10000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %