##############ECHO OF PROBLEM################# ##############temp/sing1_backpostode.ode################# diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=20; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(-1.5); x_end=c(-2.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_h=c(0.1); glob_type_given_pole=2; array_given_rad_poles[1][1]=c(0.0); array_given_rad_poles[1][2]=c(0.001); array_given_ord_poles[1][1]=c(1.0); array_given_ord_poles[1][2]=c(0.0); // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=false; glob_h=c(0.001); glob_display_interval=c(0.01); // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(c(1.0) / (c(x) * c(x) + c(0.000001))) ; } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -1.501 y[1] (closed_form) = 0.4438522469132296 y[1] (numeric) = 0.4438522469132296 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.502 y[1] (closed_form) = 0.4432614289418685 y[1] (numeric) = 0.4432614289418685 absolute error = 5.551115123125783e-17 relative error = 1.252334347334738e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.503 y[1] (closed_form) = 0.4426717898548481 y[1] (numeric) = 0.442671789854848 absolute error = 1.665334536937735e-16 relative error = 3.762007372287711e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.504 y[1] (closed_form) = 0.4420833265178823 y[1] (numeric) = 0.4420833265178821 absolute error = 2.220446049250313e-16 relative error = 5.022686710987043e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.504999999999999 y[1] (closed_form) = 0.4414960358070948 y[1] (numeric) = 0.4414960358070945 absolute error = 2.775557561562891e-16 relative error = 6.286710041436545e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.505999999999999 y[1] (closed_form) = 0.4409099146089772 y[1] (numeric) = 0.4409099146089769 absolute error = 2.775557561562891e-16 relative error = 6.295067245254411e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.506999999999999 y[1] (closed_form) = 0.4403249598203478 y[1] (numeric) = 0.4403249598203475 absolute error = 3.33066907387547e-16 relative error = 7.564116000224878e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.507999999999999 y[1] (closed_form) = 0.4397411683483107 y[1] (numeric) = 0.4397411683483102 absolute error = 4.440892098500626e-16 relative error = 1.009887728997681e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.508999999999999 y[1] (closed_form) = 0.4391585371102145 y[1] (numeric) = 0.4391585371102139 absolute error = 5.551115123125783e-16 relative error = 1.264034432679749e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.509999999999999 y[1] (closed_form) = 0.4385770630336119 y[1] (numeric) = 0.4385770630336113 absolute error = 6.106226635438361e-16 relative error = 1.392281345768962e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.510999999999999 y[1] (closed_form) = 0.4379967430562193 y[1] (numeric) = 0.4379967430562187 absolute error = 6.106226635438361e-16 relative error = 1.394126036835528e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.511999999999999 y[1] (closed_form) = 0.4374175741258763 y[1] (numeric) = 0.4374175741258757 absolute error = 6.661338147750939e-16 relative error = 1.522878489979005e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.512999999999999 y[1] (closed_form) = 0.4368395532005058 y[1] (numeric) = 0.436839553200505 absolute error = 7.771561172376096e-16 relative error = 1.779042468896816e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.513999999999998 y[1] (closed_form) = 0.4362626772480734 y[1] (numeric) = 0.4362626772480725 absolute error = 8.881784197001252e-16 relative error = 2.035879909101364e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.514999999999998 y[1] (closed_form) = 0.4356869432465483 y[1] (numeric) = 0.4356869432465474 absolute error = 9.436895709313831e-16 relative error = 2.16598083913055e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.515999999999998 y[1] (closed_form) = 0.4351123481838639 y[1] (numeric) = 0.4351123481838628 absolute error = 1.054711873393899e-15 relative error = 2.423998946010636e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.516999999999998 y[1] (closed_form) = 0.4345388890578773 y[1] (numeric) = 0.4345388890578762 absolute error = 1.110223024625157e-15 relative error = 2.55494514433962e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.517999999999998 y[1] (closed_form) = 0.4339665628763315 y[1] (numeric) = 0.4339665628763303 absolute error = 1.110223024625157e-15 relative error = 2.558314671219358e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.518999999999998 y[1] (closed_form) = 0.4333953666568153 y[1] (numeric) = 0.4333953666568141 absolute error = 1.221245327087672e-15 relative error = 2.817855060399658e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.519999999999998 y[1] (closed_form) = 0.432825297426725 y[1] (numeric) = 0.4328252974267237 absolute error = 1.27675647831893e-15 relative error = 2.949819444264526e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.520999999999998 y[1] (closed_form) = 0.4322563522232254 y[1] (numeric) = 0.4322563522232241 absolute error = 1.332267629550188e-15 relative error = 3.082123889441837e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.521999999999998 y[1] (closed_form) = 0.4316885280932116 y[1] (numeric) = 0.4316885280932101 absolute error = 1.443289932012704e-15 relative error = 3.343359478158437e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.522999999999997 y[1] (closed_form) = 0.4311218220932703 y[1] (numeric) = 0.4311218220932688 absolute error = 1.498801083243961e-15 relative error = 3.476514076616854e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.523999999999997 y[1] (closed_form) = 0.4305562312896423 y[1] (numeric) = 0.4305562312896407 absolute error = 1.554312234475219e-15 relative error = 3.610009846610739e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.524999999999997 y[1] (closed_form) = 0.4299917527581836 y[1] (numeric) = 0.429991752758182 absolute error = 1.609823385706477e-15 relative error = 3.743847121206998e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.525999999999997 y[1] (closed_form) = 0.4294283835843287 y[1] (numeric) = 0.429428383584327 absolute error = 1.665334536937735e-15 relative error = 3.878026233472539e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.526999999999997 y[1] (closed_form) = 0.4288661208630518 y[1] (numeric) = 0.4288661208630501 absolute error = 1.720845688168993e-15 relative error = 4.01254751647427e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.527999999999997 y[1] (closed_form) = 0.4283049616988305 y[1] (numeric) = 0.4283049616988287 absolute error = 1.77635683940025e-15 relative error = 4.147411303279098e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.528999999999997 y[1] (closed_form) = 0.4277449032056076 y[1] (numeric) = 0.4277449032056058 absolute error = 1.831867990631508e-15 relative error = 4.282617926953929e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.529999999999997 y[1] (closed_form) = 0.4271859425067546 y[1] (numeric) = 0.4271859425067526 absolute error = 1.942890293094024e-15 relative error = 4.548113829994075e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.530999999999997 y[1] (closed_form) = 0.4266280767350343 y[1] (numeric) = 0.4266280767350323 absolute error = 1.998401444325282e-15 relative error = 4.684177046243556e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.531999999999996 y[1] (closed_form) = 0.4260713030325645 y[1] (numeric) = 0.4260713030325624 absolute error = 2.05391259555654e-15 relative error = 4.820584209586065e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.532999999999996 y[1] (closed_form) = 0.4255156185507808 y[1] (numeric) = 0.4255156185507788 absolute error = 2.05391259555654e-15 relative error = 4.826879451691446e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.533999999999996 y[1] (closed_form) = 0.4249610204504012 y[1] (numeric) = 0.4249610204503991 absolute error = 2.109423746787797e-15 relative error = 4.96380525571991e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.534999999999996 y[1] (closed_form) = 0.4244075059013885 y[1] (numeric) = 0.4244075059013863 absolute error = 2.220446049250313e-15 relative error = 5.231872712840842e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.535999999999996 y[1] (closed_form) = 0.423855072082915 y[1] (numeric) = 0.4238550720829127 absolute error = 2.275957200481571e-15 relative error = 5.369658995224541e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.536999999999996 y[1] (closed_form) = 0.4233037161833266 y[1] (numeric) = 0.4233037161833242 absolute error = 2.386979502944087e-15 relative error = 5.638928768369992e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.537999999999996 y[1] (closed_form) = 0.4227534354001067 y[1] (numeric) = 0.4227534354001043 absolute error = 2.386979502944087e-15 relative error = 5.646268730341545e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.538999999999996 y[1] (closed_form) = 0.4222042269398407 y[1] (numeric) = 0.4222042269398383 absolute error = 2.442490654175344e-15 relative error = 5.785092849208663e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.539999999999996 y[1] (closed_form) = 0.4216560880181808 y[1] (numeric) = 0.4216560880181783 absolute error = 2.498001805406602e-15 relative error = 5.924263579704071e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.540999999999995 y[1] (closed_form) = 0.4211090158598102 y[1] (numeric) = 0.4211090158598076 absolute error = 2.609024107869118e-15 relative error = 6.195602586522816e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.541999999999995 y[1] (closed_form) = 0.4205630076984083 y[1] (numeric) = 0.4205630076984057 absolute error = 2.609024107869118e-15 relative error = 6.203646207847377e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.542999999999995 y[1] (closed_form) = 0.420018060776616 y[1] (numeric) = 0.4200180607766132 absolute error = 2.720046410331634e-15 relative error = 6.47602249603803e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.543999999999995 y[1] (closed_form) = 0.419474172346 y[1] (numeric) = 0.4194741723459973 absolute error = 2.720046410331634e-15 relative error = 6.484419279306723e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.544999999999995 y[1] (closed_form) = 0.4189313396670192 y[1] (numeric) = 0.4189313396670165 absolute error = 2.775557561562891e-15 relative error = 6.62532806394718e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.545999999999995 y[1] (closed_form) = 0.4183895600089897 y[1] (numeric) = 0.4183895600089869 absolute error = 2.886579864025407e-15 relative error = 6.899263604864769e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.546999999999995 y[1] (closed_form) = 0.4178488306500502 y[1] (numeric) = 0.4178488306500473 absolute error = 2.886579864025407e-15 relative error = 6.908191796384198e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.547999999999995 y[1] (closed_form) = 0.4173091488771282 y[1] (numeric) = 0.4173091488771253 absolute error = 2.942091015256665e-15 relative error = 7.050147410314574e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.548999999999995 y[1] (closed_form) = 0.416770511985906 y[1] (numeric) = 0.416770511985903 absolute error = 2.997602166487923e-15 relative error = 7.192452633475405e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.549999999999994 y[1] (closed_form) = 0.4162329172807866 y[1] (numeric) = 0.4162329172807835 absolute error = 3.05311331771918e-15 relative error = 7.335107798933597e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.550999999999994 y[1] (closed_form) = 0.4156963620748599 y[1] (numeric) = 0.4156963620748568 absolute error = 3.108624468950438e-15 relative error = 7.478113239756059e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.551999999999994 y[1] (closed_form) = 0.4151608436898696 y[1] (numeric) = 0.4151608436898664 absolute error = 3.108624468950438e-15 relative error = 7.487759301483212e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.552999999999994 y[1] (closed_form) = 0.4146263594561792 y[1] (numeric) = 0.414626359456176 absolute error = 3.219646771412954e-15 relative error = 7.765176279761418e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.553999999999994 y[1] (closed_form) = 0.414092906712739 y[1] (numeric) = 0.4140929067127358 absolute error = 3.219646771412954e-15 relative error = 7.775179722280198e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.554999999999994 y[1] (closed_form) = 0.4135604828070533 y[1] (numeric) = 0.4135604828070499 absolute error = 3.33066907387547e-15 relative error = 8.053644418026743e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.555999999999994 y[1] (closed_form) = 0.4130290850951466 y[1] (numeric) = 0.4130290850951432 absolute error = 3.386180225106727e-15 relative error = 8.198406231674162e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.556999999999994 y[1] (closed_form) = 0.4124987109415316 y[1] (numeric) = 0.4124987109415282 absolute error = 3.386180225106727e-15 relative error = 8.208947410714919e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.557999999999994 y[1] (closed_form) = 0.4119693577191761 y[1] (numeric) = 0.4119693577191727 absolute error = 3.441691376337985e-15 relative error = 8.354241187724587e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.558999999999994 y[1] (closed_form) = 0.4114410228094708 y[1] (numeric) = 0.4114410228094673 absolute error = 3.552713678800501e-15 relative error = 8.634806647478328e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.559999999999993 y[1] (closed_form) = 0.4109137036021963 y[1] (numeric) = 0.4109137036021926 absolute error = 3.608224830031759e-15 relative error = 8.780979554590044e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.560999999999993 y[1] (closed_form) = 0.4103873974954913 y[1] (numeric) = 0.4103873974954876 absolute error = 3.663735981263017e-15 relative error = 8.927506067735104e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.561999999999993 y[1] (closed_form) = 0.4098621018958207 y[1] (numeric) = 0.409862101895817 absolute error = 3.719247132494274e-15 relative error = 9.074386519980414e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.562999999999993 y[1] (closed_form) = 0.4093378142179432 y[1] (numeric) = 0.4093378142179395 absolute error = 3.774758283725532e-15 relative error = 9.221621244392883e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.563999999999993 y[1] (closed_form) = 0.4088145318848798 y[1] (numeric) = 0.408814531884876 absolute error = 3.83026943495679e-15 relative error = 9.369210574039416e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.564999999999993 y[1] (closed_form) = 0.408292252327882 y[1] (numeric) = 0.4082922523278781 absolute error = 3.941291737419306e-15 relative error = 9.653114196872448e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.565999999999993 y[1] (closed_form) = 0.4077709729864001 y[1] (numeric) = 0.4077709729863961 absolute error = 3.941291737419306e-15 relative error = 9.665454381302308e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.566999999999993 y[1] (closed_form) = 0.4072506913080523 y[1] (numeric) = 0.4072506913080483 absolute error = 4.052314039881821e-15 relative error = 9.950416601789321e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.567999999999993 y[1] (closed_form) = 0.406731404748593 y[1] (numeric) = 0.4067314047485889 absolute error = 4.163336342344337e-15 relative error = 1.023608281469625e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.568999999999992 y[1] (closed_form) = 0.4062131107718819 y[1] (numeric) = 0.4062131107718778 absolute error = 4.163336342344337e-15 relative error = 1.024914320080218e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.569999999999992 y[1] (closed_form) = 0.4056958068498531 y[1] (numeric) = 0.4056958068498489 absolute error = 4.218847493575595e-15 relative error = 1.039904140576188e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.570999999999992 y[1] (closed_form) = 0.405179490462484 y[1] (numeric) = 0.4051794904624798 absolute error = 4.218847493575595e-15 relative error = 1.04122928057392e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.571999999999992 y[1] (closed_form) = 0.4046641590977648 y[1] (numeric) = 0.4046641590977605 absolute error = 4.274358644806853e-15 relative error = 1.056273096766692e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.572999999999992 y[1] (closed_form) = 0.4041498102516682 y[1] (numeric) = 0.4041498102516639 absolute error = 4.329869796038111e-15 relative error = 1.071352673243087e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.573999999999992 y[1] (closed_form) = 0.4036364414281183 y[1] (numeric) = 0.4036364414281139 absolute error = 4.329869796038111e-15 relative error = 1.0727152832679e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.574999999999992 y[1] (closed_form) = 0.403124050138961 y[1] (numeric) = 0.4031240501389566 absolute error = 4.385380947269368e-15 relative error = 1.087848999770091e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.575999999999992 y[1] (closed_form) = 0.4026126339039336 y[1] (numeric) = 0.4026126339039292 absolute error = 4.496403249731884e-15 relative error = 1.116806297440919e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.576999999999992 y[1] (closed_form) = 0.4021021902506346 y[1] (numeric) = 0.40210219025063 absolute error = 4.551914400963142e-15 relative error = 1.132029248118715e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.577999999999991 y[1] (closed_form) = 0.401592716714494 y[1] (numeric) = 0.4015927167144894 absolute error = 4.6074255521944e-15 relative error = 1.147288125613587e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.578999999999991 y[1] (closed_form) = 0.4010842108387436 y[1] (numeric) = 0.401084210838739 absolute error = 4.6074255521944e-15 relative error = 1.148742689860415e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.579999999999991 y[1] (closed_form) = 0.4005766701743875 y[1] (numeric) = 0.4005766701743828 absolute error = 4.773959005888173e-15 relative error = 1.191771603625811e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.580999999999991 y[1] (closed_form) = 0.4000700922801719 y[1] (numeric) = 0.4000700922801672 absolute error = 4.718447854656915e-15 relative error = 1.179405295648182e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.581999999999991 y[1] (closed_form) = 0.399564474722557 y[1] (numeric) = 0.3995644747225521 absolute error = 4.829470157119431e-15 relative error = 1.208683569897659e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.582999999999991 y[1] (closed_form) = 0.3990598150756863 y[1] (numeric) = 0.3990598150756814 absolute error = 4.884981308350689e-15 relative error = 1.224122581078277e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.583999999999991 y[1] (closed_form) = 0.3985561109213587 y[1] (numeric) = 0.3985561109213538 absolute error = 4.940492459581947e-15 relative error = 1.239597718916116e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.584999999999991 y[1] (closed_form) = 0.3980533598489992 y[1] (numeric) = 0.3980533598489941 absolute error = 5.051514762044462e-15 relative error = 1.269054672459176e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.585999999999991 y[1] (closed_form) = 0.3975515594556295 y[1] (numeric) = 0.3975515594556244 absolute error = 5.10702591327572e-15 relative error = 1.284619766117585e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.58699999999999 y[1] (closed_form) = 0.3970507073458399 y[1] (numeric) = 0.3970507073458348 absolute error = 5.10702591327572e-15 relative error = 1.286240225439868e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.58799999999999 y[1] (closed_form) = 0.3965508011317608 y[1] (numeric) = 0.3965508011317557 absolute error = 5.10702591327572e-15 relative error = 1.287861706167333e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.58899999999999 y[1] (closed_form) = 0.3960518384330337 y[1] (numeric) = 0.3960518384330285 absolute error = 5.162537064506978e-15 relative error = 1.303500340998893e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.58999999999999 y[1] (closed_form) = 0.3955538168767832 y[1] (numeric) = 0.3955538168767779 absolute error = 5.273559366969494e-15 relative error = 1.333209070919478e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.59099999999999 y[1] (closed_form) = 0.3950567340975887 y[1] (numeric) = 0.3950567340975834 absolute error = 5.329070518200751e-15 relative error = 1.348938027945206e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.59199999999999 y[1] (closed_form) = 0.3945605877374565 y[1] (numeric) = 0.3945605877374511 absolute error = 5.384581669432009e-15 relative error = 1.364703378081682e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.59299999999999 y[1] (closed_form) = 0.3940653754457915 y[1] (numeric) = 0.3940653754457861 absolute error = 5.440092820663267e-15 relative error = 1.380505154635596e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.59399999999999 y[1] (closed_form) = 0.3935710948793697 y[1] (numeric) = 0.3935710948793641 absolute error = 5.551115123125783e-15 relative error = 1.410447869609736e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.59499999999999 y[1] (closed_form) = 0.3930777437023101 y[1] (numeric) = 0.3930777437023045 absolute error = 5.551115123125783e-15 relative error = 1.412218120222501e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.595999999999989 y[1] (closed_form) = 0.3925853195860475 y[1] (numeric) = 0.3925853195860419 absolute error = 5.551115123125783e-15 relative error = 1.41398948105829e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.596999999999989 y[1] (closed_form) = 0.3920938202093049 y[1] (numeric) = 0.3920938202092993 absolute error = 5.606626274357041e-15 relative error = 1.429919571638275e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.597999999999989 y[1] (closed_form) = 0.3916032432580659 y[1] (numeric) = 0.3916032432580602 absolute error = 5.717648576819556e-15 relative error = 1.460061599400911e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.598999999999989 y[1] (closed_form) = 0.3911135864255479 y[1] (numeric) = 0.3911135864255421 absolute error = 5.773159728050814e-15 relative error = 1.476082633899958e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.599999999999989 y[1] (closed_form) = 0.3906248474121743 y[1] (numeric) = 0.3906248474121686 absolute error = 5.717648576819556e-15 relative error = 1.463718607430644e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.600999999999989 y[1] (closed_form) = 0.3901370239255486 y[1] (numeric) = 0.3901370239255427 absolute error = 5.828670879282072e-15 relative error = 1.494006085511736e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.601999999999989 y[1] (closed_form) = 0.3896501136804261 y[1] (numeric) = 0.3896501136804202 absolute error = 5.88418203051333e-15 relative error = 1.510119418401935e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.602999999999989 y[1] (closed_form) = 0.3891641143986885 y[1] (numeric) = 0.3891641143986826 absolute error = 5.88418203051333e-15 relative error = 1.512005298742714e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.603999999999989 y[1] (closed_form) = 0.3886790238093165 y[1] (numeric) = 0.3886790238093105 absolute error = 5.995204332975845e-15 relative error = 1.542456362635369e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.604999999999988 y[1] (closed_form) = 0.3881948396483632 y[1] (numeric) = 0.3881948396483572 absolute error = 6.050715484207103e-15 relative error = 1.558680040591986e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.605999999999988 y[1] (closed_form) = 0.387711559658928 y[1] (numeric) = 0.387711559658922 absolute error = 6.050715484207103e-15 relative error = 1.560622925333965e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.606999999999988 y[1] (closed_form) = 0.3872291815911303 y[1] (numeric) = 0.3872291815911242 absolute error = 6.106226635438361e-15 relative error = 1.576902497468757e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.607999999999988 y[1] (closed_form) = 0.3867477032020833 y[1] (numeric) = 0.3867477032020771 absolute error = 6.161737786669619e-15 relative error = 1.593218973416887e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.608999999999988 y[1] (closed_form) = 0.3862671222558675 y[1] (numeric) = 0.3862671222558613 absolute error = 6.217248937900877e-15 relative error = 1.609572386485046e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.609999999999988 y[1] (closed_form) = 0.3857874365235055 y[1] (numeric) = 0.3857874365234992 absolute error = 6.328271240363392e-15 relative error = 1.640351821041694e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.610999999999988 y[1] (closed_form) = 0.3853086437829353 y[1] (numeric) = 0.385308643782929 absolute error = 6.328271240363392e-15 relative error = 1.642390157208215e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.611999999999988 y[1] (closed_form) = 0.3848307418189853 y[1] (numeric) = 0.384830741818979 absolute error = 6.328271240363392e-15 relative error = 1.644429759028984e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.612999999999988 y[1] (closed_form) = 0.3843537284233485 y[1] (numeric) = 0.3843537284233421 absolute error = 6.38378239159465e-15 relative error = 1.660913351297896e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.613999999999987 y[1] (closed_form) = 0.3838776013945565 y[1] (numeric) = 0.3838776013945501 absolute error = 6.439293542825908e-15 relative error = 1.67743403611806e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.614999999999987 y[1] (closed_form) = 0.3834023585379548 y[1] (numeric) = 0.3834023585379483 absolute error = 6.494804694057166e-15 relative error = 1.693991846796168e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.615999999999987 y[1] (closed_form) = 0.382927997665677 y[1] (numeric) = 0.3829279976656704 absolute error = 6.550315845288424e-15 relative error = 1.71058681663891e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.616999999999987 y[1] (closed_form) = 0.3824545165966198 y[1] (numeric) = 0.3824545165966132 absolute error = 6.550315845288424e-15 relative error = 1.712704533751692e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.617999999999987 y[1] (closed_form) = 0.3819819131564182 y[1] (numeric) = 0.3819819131564115 absolute error = 6.716849298982197e-15 relative error = 1.758420770103768e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.618999999999987 y[1] (closed_form) = 0.3815101851774198 y[1] (numeric) = 0.3815101851774131 absolute error = 6.661338147750939e-15 relative error = 1.746044642203487e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.619999999999987 y[1] (closed_form) = 0.381039330498661 y[1] (numeric) = 0.3810393304986542 absolute error = 6.772360450213455e-15 relative error = 1.777338953790035e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.620999999999987 y[1] (closed_form) = 0.380569346965841 y[1] (numeric) = 0.3805693469658342 absolute error = 6.827871601444713e-15 relative error = 1.794120219056309e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.621999999999987 y[1] (closed_form) = 0.3801002324312984 y[1] (numeric) = 0.3801002324312916 absolute error = 6.827871601444713e-15 relative error = 1.796334497816658e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.622999999999986 y[1] (closed_form) = 0.3796319847539858 y[1] (numeric) = 0.379631984753979 absolute error = 6.827871601444713e-15 relative error = 1.798550142151326e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.623999999999986 y[1] (closed_form) = 0.3791646017994457 y[1] (numeric) = 0.3791646017994388 absolute error = 6.883382752675971e-15 relative error = 1.815407535410399e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.624999999999986 y[1] (closed_form) = 0.3786980814397862 y[1] (numeric) = 0.3786980814397793 absolute error = 6.938893903907228e-15 relative error = 1.832302365389862e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.625999999999986 y[1] (closed_form) = 0.3782324215536566 y[1] (numeric) = 0.3782324215536497 absolute error = 6.938893903907228e-15 relative error = 1.834558199798022e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.626999999999986 y[1] (closed_form) = 0.3777676200262235 y[1] (numeric) = 0.3777676200262166 absolute error = 6.994405055138486e-15 relative error = 1.851509945360842e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.627999999999986 y[1] (closed_form) = 0.3773036747491467 y[1] (numeric) = 0.3773036747491397 absolute error = 7.049916206369744e-15 relative error = 1.868499216461895e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.628999999999986 y[1] (closed_form) = 0.3768405836205552 y[1] (numeric) = 0.3768405836205481 absolute error = 7.105427357601002e-15 relative error = 1.885526046407871e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.629999999999986 y[1] (closed_form) = 0.3763783445450236 y[1] (numeric) = 0.3763783445450163 absolute error = 7.216449660063518e-15 relative error = 1.917339231827208e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.630999999999986 y[1] (closed_form) = 0.3759169554335479 y[1] (numeric) = 0.3759169554335407 absolute error = 7.216449660063518e-15 relative error = 1.919692516061355e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.631999999999985 y[1] (closed_form) = 0.3754564142035228 y[1] (numeric) = 0.3754564142035156 absolute error = 7.271960811294775e-15 relative error = 1.936832222382244e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.632999999999985 y[1] (closed_form) = 0.3749967187787174 y[1] (numeric) = 0.3749967187787101 absolute error = 7.271960811294775e-15 relative error = 1.939206517587132e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.633999999999985 y[1] (closed_form) = 0.374537867089252 y[1] (numeric) = 0.3745378670892446 absolute error = 7.382983113757291e-15 relative error = 1.971224744545772e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.634999999999985 y[1] (closed_form) = 0.374079857071575 y[1] (numeric) = 0.3740798570715676 absolute error = 7.382983113757291e-15 relative error = 1.973638241725659e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.635999999999985 y[1] (closed_form) = 0.3736226866684395 y[1] (numeric) = 0.373622686668432 absolute error = 7.494005416219807e-15 relative error = 2.005768301449569e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.636999999999985 y[1] (closed_form) = 0.3731663538288802 y[1] (numeric) = 0.3731663538288727 absolute error = 7.549516567451064e-15 relative error = 2.023096801195797e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.637999999999985 y[1] (closed_form) = 0.3727108565081907 y[1] (numeric) = 0.3727108565081831 absolute error = 7.66053886991358e-15 relative error = 2.05535705122269e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.638999999999985 y[1] (closed_form) = 0.3722561926679001 y[1] (numeric) = 0.3722561926678924 absolute error = 7.66053886991358e-15 relative error = 2.057867409810361e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.639999999999985 y[1] (closed_form) = 0.3718023602757505 y[1] (numeric) = 0.3718023602757428 absolute error = 7.716050021144838e-15 relative error = 2.075309585292079e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.640999999999984 y[1] (closed_form) = 0.3713493573056743 y[1] (numeric) = 0.3713493573056665 absolute error = 7.771561172376096e-15 relative error = 2.092789719299009e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.641999999999984 y[1] (closed_form) = 0.3708971817377716 y[1] (numeric) = 0.3708971817377638 absolute error = 7.882583474838611e-15 relative error = 2.125274567443784e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.642999999999984 y[1] (closed_form) = 0.3704458315582875 y[1] (numeric) = 0.3704458315582796 absolute error = 7.938094626069869e-15 relative error = 2.142848953834389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.643999999999984 y[1] (closed_form) = 0.3699953047595897 y[1] (numeric) = 0.3699953047595818 absolute error = 7.882583474838611e-15 relative error = 2.130455001303448e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.644999999999984 y[1] (closed_form) = 0.3695455993401465 y[1] (numeric) = 0.3695455993401386 absolute error = 7.938094626069869e-15 relative error = 2.148069044860493e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.645999999999984 y[1] (closed_form) = 0.3690967133045042 y[1] (numeric) = 0.3690967133044962 absolute error = 7.993605777301127e-15 relative error = 2.165721202373974e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.646999999999984 y[1] (closed_form) = 0.3686486446632651 y[1] (numeric) = 0.3686486446632571 absolute error = 8.049116928532385e-15 relative error = 2.183411507150581e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.647999999999984 y[1] (closed_form) = 0.3682013914330655 y[1] (numeric) = 0.3682013914330574 absolute error = 8.049116928532385e-15 relative error = 2.186063691178532e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.648999999999984 y[1] (closed_form) = 0.3677549516365536 y[1] (numeric) = 0.3677549516365455 absolute error = 8.160139230994901e-15 relative error = 2.218906691719935e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.649999999999983 y[1] (closed_form) = 0.3673093233023679 y[1] (numeric) = 0.3673093233023598 absolute error = 8.160139230994901e-15 relative error = 2.22159872165224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.650999999999983 y[1] (closed_form) = 0.3668645044651153 y[1] (numeric) = 0.366864504465107 absolute error = 8.215650382226158e-15 relative error = 2.239423624317238e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.651999999999983 y[1] (closed_form) = 0.3664204931653491 y[1] (numeric) = 0.3664204931653409 absolute error = 8.215650382226158e-15 relative error = 2.242137253638487e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.652999999999983 y[1] (closed_form) = 0.3659772874495483 y[1] (numeric) = 0.3659772874495401 absolute error = 8.271161533457416e-15 relative error = 2.260020448563392e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.653999999999983 y[1] (closed_form) = 0.3655348853700951 y[1] (numeric) = 0.3655348853700868 absolute error = 8.326672684688674e-15 relative error = 2.277942001693798e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.654999999999983 y[1] (closed_form) = 0.3650932849852541 y[1] (numeric) = 0.3650932849852457 absolute error = 8.382183835919932e-15 relative error = 2.295901946336396e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.655999999999983 y[1] (closed_form) = 0.3646524843591509 y[1] (numeric) = 0.3646524843591424 absolute error = 8.43769498715119e-15 relative error = 2.313900315797875e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.656999999999983 y[1] (closed_form) = 0.3642124815617507 y[1] (numeric) = 0.3642124815617422 absolute error = 8.493206138382448e-15 relative error = 2.331937143384928e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.657999999999983 y[1] (closed_form) = 0.3637732746688375 y[1] (numeric) = 0.363773274668829 absolute error = 8.493206138382448e-15 relative error = 2.334752641219802e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.658999999999982 y[1] (closed_form) = 0.3633348617619928 y[1] (numeric) = 0.3633348617619843 absolute error = 8.548717289613705e-15 relative error = 2.352848071929209e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.659999999999982 y[1] (closed_form) = 0.3628972409285746 y[1] (numeric) = 0.3628972409285661 absolute error = 8.548717289613705e-15 relative error = 2.355685391197632e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.660999999999982 y[1] (closed_form) = 0.3624604102616969 y[1] (numeric) = 0.3624604102616883 absolute error = 8.604228440844963e-15 relative error = 2.373839513847236e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.661999999999982 y[1] (closed_form) = 0.3620243678602084 y[1] (numeric) = 0.3620243678601998 absolute error = 8.659739592076221e-15 relative error = 2.392032238951407e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.662999999999982 y[1] (closed_form) = 0.3615891118286724 y[1] (numeric) = 0.3615891118286637 absolute error = 8.715250743307479e-15 relative error = 2.410263599816834e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.663999999999982 y[1] (closed_form) = 0.3611546402773457 y[1] (numeric) = 0.361154640277337 absolute error = 8.715250743307479e-15 relative error = 2.413163163739133e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.664999999999982 y[1] (closed_form) = 0.3607209513221584 y[1] (numeric) = 0.3607209513221496 absolute error = 8.770761894538737e-15 relative error = 2.431453416384901e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.665999999999982 y[1] (closed_form) = 0.3602880430846933 y[1] (numeric) = 0.3602880430846844 absolute error = 8.826273045769994e-15 relative error = 2.449782393609769e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.666999999999982 y[1] (closed_form) = 0.3598559136921656 y[1] (numeric) = 0.3598559136921567 absolute error = 8.826273045769994e-15 relative error = 2.452724190415924e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.667999999999981 y[1] (closed_form) = 0.3594245612774029 y[1] (numeric) = 0.359424561277394 absolute error = 8.881784197001252e-15 relative error = 2.471112203750126e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.668999999999981 y[1] (closed_form) = 0.3589939839788245 y[1] (numeric) = 0.3589939839788155 absolute error = 8.93729534823251e-15 relative error = 2.489539030481269e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.669999999999981 y[1] (closed_form) = 0.3585641799404218 y[1] (numeric) = 0.3585641799404128 absolute error = 8.992806499463768e-15 relative error = 2.508004703916044e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.670999999999981 y[1] (closed_form) = 0.3581351473117382 y[1] (numeric) = 0.3581351473117292 absolute error = 8.992806499463768e-15 relative error = 2.511009200567515e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.671999999999981 y[1] (closed_form) = 0.3577068842478489 y[1] (numeric) = 0.3577068842478398 absolute error = 9.048317650695026e-15 relative error = 2.529534109951768e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.672999999999981 y[1] (closed_form) = 0.3572793889093413 y[1] (numeric) = 0.3572793889093322 absolute error = 9.103828801926284e-15 relative error = 2.548097954857495e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.673999999999981 y[1] (closed_form) = 0.3568526594622954 y[1] (numeric) = 0.3568526594622862 absolute error = 9.159339953157541e-15 relative error = 2.566700768591387e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.674999999999981 y[1] (closed_form) = 0.3564266940782638 y[1] (numeric) = 0.3564266940782546 absolute error = 9.214851104388799e-15 relative error = 2.585342584460134e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.675999999999981 y[1] (closed_form) = 0.3560014909342523 y[1] (numeric) = 0.3560014909342429 absolute error = 9.325873406851315e-15 relative error = 2.619616390475638e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.676999999999981 y[1] (closed_form) = 0.3555770482127002 y[1] (numeric) = 0.3555770482126909 absolute error = 9.325873406851315e-15 relative error = 2.622743355828955e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.67799999999998 y[1] (closed_form) = 0.3551533641014614 y[1] (numeric) = 0.355153364101452 absolute error = 9.381384558082573e-15 relative error = 2.641502377942412e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.67899999999998 y[1] (closed_form) = 0.3547304367937844 y[1] (numeric) = 0.3547304367937749 absolute error = 9.436895709313831e-15 relative error = 2.660300535417486e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.67999999999998 y[1] (closed_form) = 0.3543082644882933 y[1] (numeric) = 0.3543082644882838 absolute error = 9.492406860545088e-15 relative error = 2.679137861560869e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.68099999999998 y[1] (closed_form) = 0.353886845388969 y[1] (numeric) = 0.3538868453889594 absolute error = 9.547918011776346e-15 relative error = 2.698014389679251e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.68199999999998 y[1] (closed_form) = 0.3534661777051292 y[1] (numeric) = 0.3534661777051197 absolute error = 9.547918011776346e-15 relative error = 2.701225354506612e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.68299999999998 y[1] (closed_form) = 0.3530462596514106 y[1] (numeric) = 0.353046259651401 absolute error = 9.603429163007604e-15 relative error = 2.720161706992676e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.68399999999998 y[1] (closed_form) = 0.3526270894477486 y[1] (numeric) = 0.352627089447739 absolute error = 9.658940314238862e-15 relative error = 2.739137350271582e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.68499999999998 y[1] (closed_form) = 0.3522086653193596 y[1] (numeric) = 0.3522086653193499 absolute error = 9.71445146547012e-15 relative error = 2.75815231765002e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.68599999999998 y[1] (closed_form) = 0.3517909854967216 y[1] (numeric) = 0.3517909854967118 absolute error = 9.71445146547012e-15 relative error = 2.76142705923903e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.686999999999979 y[1] (closed_form) = 0.3513740482155555 y[1] (numeric) = 0.3513740482155457 absolute error = 9.769962616701378e-15 relative error = 2.780502050825294e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.687999999999979 y[1] (closed_form) = 0.3509578517168067 y[1] (numeric) = 0.3509578517167968 absolute error = 9.825473767932635e-15 relative error = 2.799616455328933e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.688999999999979 y[1] (closed_form) = 0.3505423942466264 y[1] (numeric) = 0.3505423942466165 absolute error = 9.880984919163893e-15 relative error = 2.818770306056637e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.689999999999979 y[1] (closed_form) = 0.3501276740563533 y[1] (numeric) = 0.3501276740563434 absolute error = 9.880984919163893e-15 relative error = 2.822109090860822e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.690999999999979 y[1] (closed_form) = 0.3497136894024949 y[1] (numeric) = 0.3497136894024849 absolute error = 9.992007221626409e-15 relative error = 2.857196479411002e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.691999999999979 y[1] (closed_form) = 0.3493004385467093 y[1] (numeric) = 0.3493004385466993 absolute error = 9.992007221626409e-15 relative error = 2.860576775454078e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.692999999999979 y[1] (closed_form) = 0.3488879197557872 y[1] (numeric) = 0.3488879197557772 absolute error = 1.004751837285767e-14 relative error = 2.879869953620256e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.693999999999979 y[1] (closed_form) = 0.3484761313016334 y[1] (numeric) = 0.3484761313016232 absolute error = 1.010302952408892e-14 relative error = 2.899202733441724e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.694999999999979 y[1] (closed_form) = 0.3480650714612486 y[1] (numeric) = 0.3480650714612385 absolute error = 1.010302952408892e-14 relative error = 2.902626650147437e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.695999999999978 y[1] (closed_form) = 0.3476547385167121 y[1] (numeric) = 0.3476547385167019 absolute error = 1.015854067532018e-14 relative error = 2.922019909368171e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.696999999999978 y[1] (closed_form) = 0.3472451307551628 y[1] (numeric) = 0.3472451307551526 absolute error = 1.021405182655144e-14 relative error = 2.941452859062035e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.697999999999978 y[1] (closed_form) = 0.3468362464687824 y[1] (numeric) = 0.3468362464687721 absolute error = 1.02695629777827e-14 relative error = 2.960925532535721e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.698999999999978 y[1] (closed_form) = 0.3464280839547765 y[1] (numeric) = 0.3464280839547662 absolute error = 1.02695629777827e-14 relative error = 2.964414103079273e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.699999999999978 y[1] (closed_form) = 0.3460206415153579 y[1] (numeric) = 0.3460206415153476 absolute error = 1.032507412901396e-14 relative error = 2.983947455792369e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.700999999999978 y[1] (closed_form) = 0.3456139174577283 y[1] (numeric) = 0.3456139174577179 absolute error = 1.038058528024521e-14 relative error = 3.003520621103128e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.701999999999978 y[1] (closed_form) = 0.3452079100940609 y[1] (numeric) = 0.3452079100940505 absolute error = 1.038058528024521e-14 relative error = 3.007053134273995e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.702999999999978 y[1] (closed_form) = 0.3448026177414829 y[1] (numeric) = 0.3448026177414725 absolute error = 1.043609643147647e-14 relative error = 3.026687123153159e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.703999999999978 y[1] (closed_form) = 0.3443980387220582 y[1] (numeric) = 0.3443980387220477 absolute error = 1.049160758270773e-14 relative error = 3.046361013447827e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.704999999999977 y[1] (closed_form) = 0.3439941713627695 y[1] (numeric) = 0.343994171362759 absolute error = 1.049160758270773e-14 relative error = 3.049937602472772e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.705999999999977 y[1] (closed_form) = 0.3435910139955019 y[1] (numeric) = 0.3435910139954914 absolute error = 1.054711873393899e-14 relative error = 3.069672460664837e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.706999999999977 y[1] (closed_form) = 0.3431885649570248 y[1] (numeric) = 0.3431885649570142 absolute error = 1.054711873393899e-14 relative error = 3.07327219228873e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.707999999999977 y[1] (closed_form) = 0.3427868225889752 y[1] (numeric) = 0.3427868225889646 absolute error = 1.060262988517024e-14 relative error = 3.093068107196035e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.708999999999977 y[1] (closed_form) = 0.3423857852378406 y[1] (numeric) = 0.34238578523783 absolute error = 1.06581410364015e-14 relative error = 3.112904067847838e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.709999999999977 y[1] (closed_form) = 0.3419854512549419 y[1] (numeric) = 0.3419854512549312 absolute error = 1.06581410364015e-14 relative error = 3.116548086268183e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.710999999999977 y[1] (closed_form) = 0.3415858189964164 y[1] (numeric) = 0.3415858189964057 absolute error = 1.071365218763276e-14 relative error = 3.136445247964219e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.711999999999977 y[1] (closed_form) = 0.3411868868232011 y[1] (numeric) = 0.3411868868231903 absolute error = 1.082467449009528e-14 relative error = 3.172652557337143e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.712999999999977 y[1] (closed_form) = 0.3407886531010156 y[1] (numeric) = 0.3407886531010048 absolute error = 1.082467449009528e-14 relative error = 3.176360008350001e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.713999999999976 y[1] (closed_form) = 0.3403911162003458 y[1] (numeric) = 0.340391116200335 absolute error = 1.088018564132653e-14 relative error = 3.196377673653129e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.714999999999976 y[1] (closed_form) = 0.3399942744964268 y[1] (numeric) = 0.3399942744964159 absolute error = 1.093569679255779e-14 relative error = 3.21643557343867e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.715999999999976 y[1] (closed_form) = 0.3395981263692266 y[1] (numeric) = 0.3395981263692156 absolute error = 1.099120794378905e-14 relative error = 3.236533741013313e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.716999999999976 y[1] (closed_form) = 0.3392026702034293 y[1] (numeric) = 0.3392026702034182 absolute error = 1.104671909502031e-14 relative error = 3.256672209683751e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.717999999999976 y[1] (closed_form) = 0.3388079043884188 y[1] (numeric) = 0.3388079043884077 absolute error = 1.110223024625157e-14 relative error = 3.276851012756673e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.718999999999976 y[1] (closed_form) = 0.3384138273182626 y[1] (numeric) = 0.3384138273182515 absolute error = 1.115774139748282e-14 relative error = 3.297070183538771e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.719999999999976 y[1] (closed_form) = 0.3380204373916951 y[1] (numeric) = 0.3380204373916839 absolute error = 1.121325254871408e-14 relative error = 3.317329755336735e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.720999999999976 y[1] (closed_form) = 0.3376277330121013 y[1] (numeric) = 0.3376277330120901 absolute error = 1.121325254871408e-14 relative error = 3.321188235538748e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.721999999999976 y[1] (closed_form) = 0.3372357125875012 y[1] (numeric) = 0.3372357125874899 absolute error = 1.13242748511766e-14 relative error = 3.357970235207024e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.722999999999975 y[1] (closed_form) = 0.3368443745305327 y[1] (numeric) = 0.3368443745305214 absolute error = 1.13242748511766e-14 relative error = 3.361871447893254e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.723999999999975 y[1] (closed_form) = 0.3364537172584367 y[1] (numeric) = 0.3364537172584253 absolute error = 1.137978600240785e-14 relative error = 3.38227382212776e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.724999999999975 y[1] (closed_form) = 0.3360637391930399 y[1] (numeric) = 0.3360637391930286 absolute error = 1.137978600240785e-14 relative error = 3.38619871031999e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.725999999999975 y[1] (closed_form) = 0.3356744387607399 y[1] (numeric) = 0.3356744387607285 absolute error = 1.143529715363911e-14 relative error = 3.406663073857076e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.726999999999975 y[1] (closed_form) = 0.3352858143924886 y[1] (numeric) = 0.3352858143924771 absolute error = 1.143529715363911e-14 relative error = 3.410611681964228e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.727999999999975 y[1] (closed_form) = 0.3348978645237766 y[1] (numeric) = 0.3348978645237651 absolute error = 1.149080830487037e-14 relative error = 3.431138123621736e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.728999999999975 y[1] (closed_form) = 0.3345105875946177 y[1] (numeric) = 0.3345105875946062 absolute error = 1.154631945610163e-14 relative error = 3.451705232748636e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.729999999999975 y[1] (closed_form) = 0.334123982049533 y[1] (numeric) = 0.3341239820495214 absolute error = 1.160183060733289e-14 relative error = 3.472313042651619e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.730999999999975 y[1] (closed_form) = 0.3337380463375351 y[1] (numeric) = 0.3337380463375235 absolute error = 1.165734175856414e-14 relative error = 3.492961586637375e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.731999999999974 y[1] (closed_form) = 0.333352778912113 y[1] (numeric) = 0.3333527789121014 absolute error = 1.165734175856414e-14 relative error = 3.496998524088365e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.732999999999974 y[1] (closed_form) = 0.3329681782312163 y[1] (numeric) = 0.3329681782312046 absolute error = 1.17128529097954e-14 relative error = 3.517709401545839e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.733999999999974 y[1] (closed_form) = 0.3325842427572397 y[1] (numeric) = 0.3325842427572279 absolute error = 1.176836406102666e-14 relative error = 3.538461101903928e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.734999999999974 y[1] (closed_form) = 0.3322009709570078 y[1] (numeric) = 0.332200970956996 absolute error = 1.182387521225792e-14 relative error = 3.559253658469324e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.735999999999974 y[1] (closed_form) = 0.3318183613017599 y[1] (numeric) = 0.3318183613017481 absolute error = 1.182387521225792e-14 relative error = 3.563357725555498e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.736999999999974 y[1] (closed_form) = 0.3314364122671344 y[1] (numeric) = 0.3314364122671226 absolute error = 1.187938636348917e-14 relative error = 3.584212815432756e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.737999999999974 y[1] (closed_form) = 0.331055122333154 y[1] (numeric) = 0.3310551223331421 absolute error = 1.193489751472043e-14 relative error = 3.605108850335162e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.738999999999974 y[1] (closed_form) = 0.3306744899842103 y[1] (numeric) = 0.3306744899841984 absolute error = 1.193489751472043e-14 relative error = 3.60925861420103e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.739999999999974 y[1] (closed_form) = 0.3302945137090489 y[1] (numeric) = 0.330294513709037 absolute error = 1.199040866595169e-14 relative error = 3.63021732674429e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.740999999999973 y[1] (closed_form) = 0.3299151920007543 y[1] (numeric) = 0.3299151920007423 absolute error = 1.204591981718295e-14 relative error = 3.651217073130542e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.741999999999973 y[1] (closed_form) = 0.329536523356735 y[1] (numeric) = 0.3295365233567229 absolute error = 1.210143096841421e-14 relative error = 3.672257886666474e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.742999999999973 y[1] (closed_form) = 0.3291585062787086 y[1] (numeric) = 0.3291585062786965 absolute error = 1.210143096841421e-14 relative error = 3.676475235358965e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.743999999999973 y[1] (closed_form) = 0.3287811392726871 y[1] (numeric) = 0.3287811392726749 absolute error = 1.221245327087672e-14 relative error = 3.714462848414142e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.744999999999973 y[1] (closed_form) = 0.3284044208489619 y[1] (numeric) = 0.3284044208489496 absolute error = 1.226796442210798e-14 relative error = 3.735627063239261e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.745999999999973 y[1] (closed_form) = 0.3280283495220893 y[1] (numeric) = 0.328028349522077 absolute error = 1.226796442210798e-14 relative error = 3.739909809619019e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.746999999999973 y[1] (closed_form) = 0.3276529238108758 y[1] (numeric) = 0.3276529238108635 absolute error = 1.226796442210798e-14 relative error = 3.744195009591661e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.747999999999973 y[1] (closed_form) = 0.3272781422383636 y[1] (numeric) = 0.3272781422383513 absolute error = 1.232347557333924e-14 relative error = 3.765444123171473e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.748999999999973 y[1] (closed_form) = 0.3269040033318159 y[1] (numeric) = 0.3269040033318035 absolute error = 1.23789867245705e-14 relative error = 3.786734514843341e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.749999999999972 y[1] (closed_form) = 0.3265305056227023 y[1] (numeric) = 0.3265305056226899 absolute error = 1.243449787580175e-14 relative error = 3.808066217913955e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.750999999999972 y[1] (closed_form) = 0.326157647646685 y[1] (numeric) = 0.3261576476466725 absolute error = 1.249000902703301e-14 relative error = 3.829439265690005e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.751999999999972 y[1] (closed_form) = 0.3257854279436038 y[1] (numeric) = 0.3257854279435913 absolute error = 1.249000902703301e-14 relative error = 3.833814515852175e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.752999999999972 y[1] (closed_form) = 0.3254138450574622 y[1] (numeric) = 0.3254138450574496 absolute error = 1.254552017826427e-14 relative error = 3.855250896300665e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.753999999999972 y[1] (closed_form) = 0.3250428975364127 y[1] (numeric) = 0.3250428975364001 absolute error = 1.260103132949553e-14 relative error = 3.876728710272435e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.754999999999972 y[1] (closed_form) = 0.3246725839327434 y[1] (numeric) = 0.3246725839327308 absolute error = 1.260103132949553e-14 relative error = 3.881150412165955e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.755999999999972 y[1] (closed_form) = 0.3243029028028631 y[1] (numeric) = 0.3243029028028505 absolute error = 1.265654248072678e-14 relative error = 3.902691703139157e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.756999999999972 y[1] (closed_form) = 0.3239338527072876 y[1] (numeric) = 0.3239338527072749 absolute error = 1.265654248072678e-14 relative error = 3.907137946512636e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.757999999999972 y[1] (closed_form) = 0.3235654322106257 y[1] (numeric) = 0.323565432210613 absolute error = 1.271205363195804e-14 relative error = 3.928742803305114e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.758999999999971 y[1] (closed_form) = 0.323197639881565 y[1] (numeric) = 0.3231976398815523 absolute error = 1.271205363195804e-14 relative error = 3.933213632567473e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.759999999999971 y[1] (closed_form) = 0.3228304742928584 y[1] (numeric) = 0.3228304742928456 absolute error = 1.282307593442056e-14 relative error = 3.972077283753576e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.760999999999971 y[1] (closed_form) = 0.3224639340213099 y[1] (numeric) = 0.3224639340212971 absolute error = 1.282307593442056e-14 relative error = 3.976592288790085e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.761999999999971 y[1] (closed_form) = 0.3220980176477609 y[1] (numeric) = 0.3220980176477481 absolute error = 1.282307593442056e-14 relative error = 3.981109858441781e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.762999999999971 y[1] (closed_form) = 0.3217327237570766 y[1] (numeric) = 0.3217327237570637 absolute error = 1.287858708565182e-14 relative error = 4.002883802200909e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.763999999999971 y[1] (closed_form) = 0.3213680509381321 y[1] (numeric) = 0.3213680509381192 absolute error = 1.293409823688307e-14 relative error = 4.024699468141302e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.764999999999971 y[1] (closed_form) = 0.321003997783799 y[1] (numeric) = 0.321003997783786 absolute error = 1.298960938811433e-14 relative error = 4.046556889569652e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.765999999999971 y[1] (closed_form) = 0.3206405628909316 y[1] (numeric) = 0.3206405628909186 absolute error = 1.304512053934559e-14 relative error = 4.068456099792648e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.766999999999971 y[1] (closed_form) = 0.3202777448603535 y[1] (numeric) = 0.3202777448603405 absolute error = 1.304512053934559e-14 relative error = 4.073064940879198e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.76799999999997 y[1] (closed_form) = 0.3199155422968443 y[1] (numeric) = 0.3199155422968312 absolute error = 1.304512053934559e-14 relative error = 4.077676390989857e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.76899999999997 y[1] (closed_form) = 0.3195539538091258 y[1] (numeric) = 0.3195539538091127 absolute error = 1.310063169057685e-14 relative error = 4.099661898848558e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.76999999999997 y[1] (closed_form) = 0.3191929780098489 y[1] (numeric) = 0.3191929780098357 absolute error = 1.321165399303936e-14 relative error = 4.139080400644562e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.77099999999997 y[1] (closed_form) = 0.3188326135155803 y[1] (numeric) = 0.3188326135155671 absolute error = 1.321165399303936e-14 relative error = 4.143758647323497e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.77199999999997 y[1] (closed_form) = 0.3184728589467892 y[1] (numeric) = 0.3184728589467759 absolute error = 1.326716514427062e-14 relative error = 4.165869954553118e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.77299999999997 y[1] (closed_form) = 0.318113712927834 y[1] (numeric) = 0.3181137129278206 absolute error = 1.332267629550188e-14 relative error = 4.18802326151976e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.77399999999997 y[1] (closed_form) = 0.3177551740869493 y[1] (numeric) = 0.3177551740869359 absolute error = 1.337818744673314e-14 relative error = 4.210218601530115e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.77499999999997 y[1] (closed_form) = 0.3173972410562327 y[1] (numeric) = 0.3173972410562192 absolute error = 1.343369859796439e-14 relative error = 4.232456007890872e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.77599999999997 y[1] (closed_form) = 0.3170399124716318 y[1] (numeric) = 0.3170399124716183 absolute error = 1.343369859796439e-14 relative error = 4.237226314263009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.776999999999969 y[1] (closed_form) = 0.3166831869729313 y[1] (numeric) = 0.3166831869729178 absolute error = 1.354472090042691e-14 relative error = 4.27705715289036e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.777999999999969 y[1] (closed_form) = 0.3163270632037398 y[1] (numeric) = 0.3163270632037262 absolute error = 1.360023205165817e-14 relative error = 4.299420958142471e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.778999999999969 y[1] (closed_form) = 0.315971539811477 y[1] (numeric) = 0.3159715398114634 absolute error = 1.365574320288943e-14 relative error = 4.321826962971748e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.779999999999969 y[1] (closed_form) = 0.3156166154473611 y[1] (numeric) = 0.3156166154473475 absolute error = 1.365574320288943e-14 relative error = 4.326687041977657e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.780999999999969 y[1] (closed_form) = 0.3152622887663959 y[1] (numeric) = 0.3152622887663822 absolute error = 1.371125435412068e-14 relative error = 4.349157778360384e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.781999999999969 y[1] (closed_form) = 0.3149085584273577 y[1] (numeric) = 0.3149085584273438 absolute error = 1.38222766565832e-14 relative error = 4.389298507989483e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.782999999999969 y[1] (closed_form) = 0.3145554230927828 y[1] (numeric) = 0.314555423092769 absolute error = 1.387778780781446e-14 relative error = 4.411873644194332e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.783999999999969 y[1] (closed_form) = 0.3142028814289555 y[1] (numeric) = 0.3142028814289415 absolute error = 1.393329895904571e-14 relative error = 4.4344911465098e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.784999999999969 y[1] (closed_form) = 0.3138509321058943 y[1] (numeric) = 0.3138509321058803 absolute error = 1.393329895904571e-14 relative error = 4.439463940908284e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.785999999999969 y[1] (closed_form) = 0.3134995737973404 y[1] (numeric) = 0.3134995737973265 absolute error = 1.398881011027697e-14 relative error = 4.462146452332959e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.786999999999968 y[1] (closed_form) = 0.3131488051807449 y[1] (numeric) = 0.3131488051807308 absolute error = 1.404432126150823e-14 relative error = 4.484871418686095e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.787999999999968 y[1] (closed_form) = 0.3127986249372559 y[1] (numeric) = 0.3127986249372418 absolute error = 1.409983241273949e-14 relative error = 4.507638873274385e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.788999999999968 y[1] (closed_form) = 0.3124490317517066 y[1] (numeric) = 0.3124490317516925 absolute error = 1.415534356397075e-14 relative error = 4.530448849404516e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.789999999999968 y[1] (closed_form) = 0.312100024312603 y[1] (numeric) = 0.3121000243125888 absolute error = 1.415534356397075e-14 relative error = 4.535515046866062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.790999999999968 y[1] (closed_form) = 0.3117516013121113 y[1] (numeric) = 0.3117516013120971 absolute error = 1.426636586643326e-14 relative error = 4.576196499517074e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.791999999999968 y[1] (closed_form) = 0.3114037614460456 y[1] (numeric) = 0.3114037614460314 absolute error = 1.4210854715202e-14 relative error = 4.563482036701153e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.792999999999968 y[1] (closed_form) = 0.3110565034138563 y[1] (numeric) = 0.3110565034138421 absolute error = 1.426636586643326e-14 relative error = 4.586422630570132e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.793999999999968 y[1] (closed_form) = 0.3107098259186171 y[1] (numeric) = 0.3107098259186027 absolute error = 1.432187701766452e-14 relative error = 4.609405890309948e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.794999999999968 y[1] (closed_form) = 0.3103637276670133 y[1] (numeric) = 0.3103637276669989 absolute error = 1.432187701766452e-14 relative error = 4.614546011971588e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.795999999999967 y[1] (closed_form) = 0.3100182073693301 y[1] (numeric) = 0.3100182073693156 absolute error = 1.443289932012704e-14 relative error = 4.655500540628852e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.796999999999967 y[1] (closed_form) = 0.3096732637394398 y[1] (numeric) = 0.3096732637394253 absolute error = 1.448841047135829e-14 relative error = 4.678611997821321e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.797999999999967 y[1] (closed_form) = 0.3093288954947906 y[1] (numeric) = 0.3093288954947761 absolute error = 1.448841047135829e-14 relative error = 4.683820581385773e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.798999999999967 y[1] (closed_form) = 0.3089851013563941 y[1] (numeric) = 0.3089851013563796 absolute error = 1.448841047135829e-14 relative error = 4.689032062632321e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.799999999999967 y[1] (closed_form) = 0.3086418800488138 y[1] (numeric) = 0.3086418800487992 absolute error = 1.454392162258955e-14 relative error = 4.712232060111004e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.800999999999967 y[1] (closed_form) = 0.308299230300153 y[1] (numeric) = 0.3082992303001384 absolute error = 1.459943277382081e-14 relative error = 4.735474934402898e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.801999999999967 y[1] (closed_form) = 0.3079571508420432 y[1] (numeric) = 0.3079571508420286 absolute error = 1.465494392505207e-14 relative error = 4.758760718814693e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.802999999999967 y[1] (closed_form) = 0.3076156404096324 y[1] (numeric) = 0.3076156404096177 absolute error = 1.465494392505207e-14 relative error = 4.764043826099675e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.803999999999967 y[1] (closed_form) = 0.3072746977415731 y[1] (numeric) = 0.3072746977415584 absolute error = 1.465494392505207e-14 relative error = 4.76932986437344e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.804999999999966 y[1] (closed_form) = 0.3069343215800111 y[1] (numeric) = 0.3069343215799963 absolute error = 1.476596622751458e-14 relative error = 4.810790188436263e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.805999999999966 y[1] (closed_form) = 0.3065945106705735 y[1] (numeric) = 0.3065945106705587 absolute error = 1.476596622751458e-14 relative error = 4.816122178841019e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.806999999999966 y[1] (closed_form) = 0.3062552637623573 y[1] (numeric) = 0.3062552637623426 absolute error = 1.476596622751458e-14 relative error = 4.821457122439019e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.807999999999966 y[1] (closed_form) = 0.3059165796079182 y[1] (numeric) = 0.3059165796079034 absolute error = 1.482147737874584e-14 relative error = 4.84494086516722e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.808999999999966 y[1] (closed_form) = 0.3055784569632584 y[1] (numeric) = 0.3055784569632435 absolute error = 1.48769885299771e-14 relative error = 4.868467717855468e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.809999999999966 y[1] (closed_form) = 0.3052408945878157 y[1] (numeric) = 0.3052408945878008 absolute error = 1.48769885299771e-14 relative error = 4.873851700004466e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.810999999999966 y[1] (closed_form) = 0.3049038912444523 y[1] (numeric) = 0.3049038912444375 absolute error = 1.48769885299771e-14 relative error = 4.87923865755117e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.811999999999966 y[1] (closed_form) = 0.3045674456994431 y[1] (numeric) = 0.3045674456994281 absolute error = 1.498801083243961e-14 relative error = 4.921081042663457e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.812999999999966 y[1] (closed_form) = 0.3042315567224642 y[1] (numeric) = 0.3042315567224492 absolute error = 1.498801083243961e-14 relative error = 4.926514196590216e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.813999999999965 y[1] (closed_form) = 0.3038962230865822 y[1] (numeric) = 0.3038962230865672 absolute error = 1.504352198367087e-14 relative error = 4.950216830889953e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.814999999999965 y[1] (closed_form) = 0.3035614435682428 y[1] (numeric) = 0.3035614435682277 absolute error = 1.504352198367087e-14 relative error = 4.955676125017827e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.815999999999965 y[1] (closed_form) = 0.3032272169472595 y[1] (numeric) = 0.3032272169472444 absolute error = 1.509903313490213e-14 relative error = 4.979445211716703e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.816999999999965 y[1] (closed_form) = 0.3028935420068025 y[1] (numeric) = 0.3028935420067874 absolute error = 1.515454428613339e-14 relative error = 5.003257641522459e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.817999999999965 y[1] (closed_form) = 0.3025604175333879 y[1] (numeric) = 0.3025604175333726 absolute error = 1.521005543736464e-14 relative error = 5.027113447741788e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.818999999999965 y[1] (closed_form) = 0.3022278423168661 y[1] (numeric) = 0.3022278423168509 absolute error = 1.521005543736464e-14 relative error = 5.032645344904358e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.819999999999965 y[1] (closed_form) = 0.3018958151504116 y[1] (numeric) = 0.3018958151503964 absolute error = 1.52655665885959e-14 relative error = 5.05656780336297e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.820999999999965 y[1] (closed_form) = 0.3015643348305114 y[1] (numeric) = 0.3015643348304961 absolute error = 1.532107773982716e-14 relative error = 5.080533727052997e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.821999999999965 y[1] (closed_form) = 0.3012334001569543 y[1] (numeric) = 0.3012334001569389 absolute error = 1.537658889105842e-14 relative error = 5.104543149281128e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.822999999999964 y[1] (closed_form) = 0.3009030099328201 y[1] (numeric) = 0.3009030099328047 absolute error = 1.543210004228968e-14 relative error = 5.128596103354055e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.823999999999964 y[1] (closed_form) = 0.3005731629644687 y[1] (numeric) = 0.3005731629644532 absolute error = 1.548761119352093e-14 relative error = 5.152692622578468e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.824999999999964 y[1] (closed_form) = 0.3002438580615293 y[1] (numeric) = 0.3002438580615138 absolute error = 1.548761119352093e-14 relative error = 5.158344051902983e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.825999999999964 y[1] (closed_form) = 0.2999150940368899 y[1] (numeric) = 0.2999150940368744 absolute error = 1.554312234475219e-14 relative error = 5.182507534229127e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.826999999999964 y[1] (closed_form) = 0.2995868697066863 y[1] (numeric) = 0.2995868697066707 absolute error = 1.559863349598345e-14 relative error = 5.206714670524598e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.827999999999964 y[1] (closed_form) = 0.2992591838902914 y[1] (numeric) = 0.2992591838902758 absolute error = 1.565414464721471e-14 relative error = 5.230965494096089e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.828999999999964 y[1] (closed_form) = 0.2989320354103051 y[1] (numeric) = 0.2989320354102893 absolute error = 1.570965579844597e-14 relative error = 5.255260038250289e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.829999999999964 y[1] (closed_form) = 0.2986054230925428 y[1] (numeric) = 0.2986054230925271 absolute error = 1.576516694967722e-14 relative error = 5.27959833629389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.830999999999964 y[1] (closed_form) = 0.298279345766026 y[1] (numeric) = 0.2982793457660103 absolute error = 1.576516694967722e-14 relative error = 5.285369963914166e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.831999999999963 y[1] (closed_form) = 0.297953802262971 y[1] (numeric) = 0.2979538022629552 absolute error = 1.582067810090848e-14 relative error = 5.309775535921944e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.832999999999963 y[1] (closed_form) = 0.2976287914187786 y[1] (numeric) = 0.2976287914187628 absolute error = 1.587618925213974e-14 relative error = 5.334224950636965e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.833999999999963 y[1] (closed_form) = 0.2973043120720238 y[1] (numeric) = 0.2973043120720079 absolute error = 1.587618925213974e-14 relative error = 5.340046749235724e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.834999999999963 y[1] (closed_form) = 0.2969803630644454 y[1] (numeric) = 0.2969803630644295 absolute error = 1.5931700403371e-14 relative error = 5.364563582243915e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.835999999999963 y[1] (closed_form) = 0.2966569432409357 y[1] (numeric) = 0.2966569432409197 absolute error = 1.5931700403371e-14 relative error = 5.370412109461992e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.836999999999963 y[1] (closed_form) = 0.29633405144953 y[1] (numeric) = 0.296334051449514 absolute error = 1.5931700403371e-14 relative error = 5.37626382302015e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.837999999999963 y[1] (closed_form) = 0.2960116865413966 y[1] (numeric) = 0.2960116865413807 absolute error = 1.598721155460225e-14 relative error = 5.400871749827511e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.838999999999963 y[1] (closed_form) = 0.2956898473708266 y[1] (numeric) = 0.2956898473708106 absolute error = 1.604272270583351e-14 relative error = 5.425523685875568e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.839999999999963 y[1] (closed_form) = 0.2953685327952233 y[1] (numeric) = 0.2953685327952072 absolute error = 1.609823385706477e-14 relative error = 5.450219664471012e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.840999999999962 y[1] (closed_form) = 0.2950477416750925 y[1] (numeric) = 0.2950477416750764 absolute error = 1.609823385706477e-14 relative error = 5.456145424353798e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.841999999999962 y[1] (closed_form) = 0.2947274728740323 y[1] (numeric) = 0.2947274728740161 absolute error = 1.615374500829603e-14 relative error = 5.480909143207088e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.842999999999962 y[1] (closed_form) = 0.2944077252587229 y[1] (numeric) = 0.2944077252587067 absolute error = 1.620925615952729e-14 relative error = 5.505716993425609e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.843999999999962 y[1] (closed_form) = 0.2940884976989166 y[1] (numeric) = 0.2940884976989004 absolute error = 1.615374500829603e-14 relative error = 5.492817684027204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.844999999999962 y[1] (closed_form) = 0.2937697890674281 y[1] (numeric) = 0.2937697890674119 absolute error = 1.620925615952729e-14 relative error = 5.517672940768876e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.845999999999962 y[1] (closed_form) = 0.2934515982401242 y[1] (numeric) = 0.2934515982401079 absolute error = 1.626476731075854e-14 relative error = 5.542572406591388e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.846999999999962 y[1] (closed_form) = 0.2931339240959138 y[1] (numeric) = 0.2931339240958975 absolute error = 1.63202784619898e-14 relative error = 5.567516114801432e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.847999999999962 y[1] (closed_form) = 0.2928167655167386 y[1] (numeric) = 0.2928167655167222 absolute error = 1.637578961322106e-14 relative error = 5.592504098705699e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.848999999999962 y[1] (closed_form) = 0.2925001213875625 y[1] (numeric) = 0.2925001213875461 absolute error = 1.643130076445232e-14 relative error = 5.617536391610877e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.849999999999961 y[1] (closed_form) = 0.2921839905963626 y[1] (numeric) = 0.2921839905963461 absolute error = 1.648681191568357e-14 relative error = 5.64261302682366e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.850999999999961 y[1] (closed_form) = 0.2918683720341188 y[1] (numeric) = 0.2918683720341023 absolute error = 1.648681191568357e-14 relative error = 5.648714795913653e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.851999999999961 y[1] (closed_form) = 0.2915532645948042 y[1] (numeric) = 0.2915532645947876 absolute error = 1.654232306691483e-14 relative error = 5.673859659882414e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.852999999999961 y[1] (closed_form) = 0.2912386671753758 y[1] (numeric) = 0.2912386671753592 absolute error = 1.659783421814609e-14 relative error = 5.699048954976621e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.853999999999961 y[1] (closed_form) = 0.2909245786757643 y[1] (numeric) = 0.2909245786757477 absolute error = 1.659783421814609e-14 relative error = 5.705201772121287e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.854999999999961 y[1] (closed_form) = 0.2906109979988649 y[1] (numeric) = 0.2906109979988483 absolute error = 1.665334536937735e-14 relative error = 5.730459440300464e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.855999999999961 y[1] (closed_form) = 0.2902979240505276 y[1] (numeric) = 0.2902979240505109 absolute error = 1.665334536937735e-14 relative error = 5.736639496767039e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.856999999999961 y[1] (closed_form) = 0.2899853557395474 y[1] (numeric) = 0.2899853557395307 absolute error = 1.670885652060861e-14 relative error = 5.761965626849031e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.857999999999961 y[1] (closed_form) = 0.2896732919776553 y[1] (numeric) = 0.2896732919776386 absolute error = 1.670885652060861e-14 relative error = 5.768172967046436e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.85899999999996 y[1] (closed_form) = 0.2893617316795083 y[1] (numeric) = 0.2893617316794915 absolute error = 1.676436767183986e-14 relative error = 5.793567647849083e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.85999999999996 y[1] (closed_form) = 0.2890506737626803 y[1] (numeric) = 0.2890506737626635 absolute error = 1.676436767183986e-14 relative error = 5.79980231618624e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86099999999996 y[1] (closed_form) = 0.2887401171476526 y[1] (numeric) = 0.2887401171476358 absolute error = 1.681987882307112e-14 relative error = 5.825265636527384e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86199999999996 y[1] (closed_form) = 0.2884300607578046 y[1] (numeric) = 0.2884300607577878 absolute error = 1.687538997430238e-14 relative error = 5.850773643345269e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86299999999996 y[1] (closed_form) = 0.2881205035194043 y[1] (numeric) = 0.2881205035193874 absolute error = 1.693090112553364e-14 relative error = 5.876326369946586e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86399999999996 y[1] (closed_form) = 0.2878114443615991 y[1] (numeric) = 0.2878114443615821 absolute error = 1.69864122767649e-14 relative error = 5.901923849638025e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86499999999996 y[1] (closed_form) = 0.2875028822164066 y[1] (numeric) = 0.2875028822163896 absolute error = 1.704192342799615e-14 relative error = 5.927566115726279e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86599999999996 y[1] (closed_form) = 0.2871948160187053 y[1] (numeric) = 0.2871948160186883 absolute error = 1.704192342799615e-14 relative error = 5.933924457357264e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.86699999999996 y[1] (closed_form) = 0.2868872447062255 y[1] (numeric) = 0.2868872447062085 absolute error = 1.704192342799615e-14 relative error = 5.940286207372934e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.867999999999959 y[1] (closed_form) = 0.28658016721954 y[1] (numeric) = 0.2865801672195229 absolute error = 1.709743457922741e-14 relative error = 5.966021565661802e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.868999999999959 y[1] (closed_form) = 0.286273582502055 y[1] (numeric) = 0.2862735825020379 absolute error = 1.709743457922741e-14 relative error = 5.972410876964059e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.869999999999959 y[1] (closed_form) = 0.2859674895000011 y[1] (numeric) = 0.285967489499984 absolute error = 1.709743457922741e-14 relative error = 5.978803607753232e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.870999999999959 y[1] (closed_form) = 0.2856618871624244 y[1] (numeric) = 0.2856618871624072 absolute error = 1.720845688168993e-14 relative error = 6.024064691523015e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.871999999999959 y[1] (closed_form) = 0.2853567744411769 y[1] (numeric) = 0.2853567744411597 absolute error = 1.720845688168993e-14 relative error = 6.030505816933832e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.872999999999959 y[1] (closed_form) = 0.2850521502909082 y[1] (numeric) = 0.285052150290891 absolute error = 1.720845688168993e-14 relative error = 6.036950384036024e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.873999999999959 y[1] (closed_form) = 0.2847480136690562 y[1] (numeric) = 0.2847480136690389 absolute error = 1.726396803292118e-14 relative error = 6.062893226354848e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.874999999999959 y[1] (closed_form) = 0.284444363535838 y[1] (numeric) = 0.2844443635358207 absolute error = 1.731947918415244e-14 relative error = 6.088881132626243e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.875999999999959 y[1] (closed_form) = 0.2841411988542416 y[1] (numeric) = 0.2841411988542242 absolute error = 1.73749903353837e-14 relative error = 6.114914136156898e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.876999999999958 y[1] (closed_form) = 0.2838385185900163 y[1] (numeric) = 0.283838518589999 absolute error = 1.731947918415244e-14 relative error = 6.10187766980603e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.877999999999958 y[1] (closed_form) = 0.2835363217116647 y[1] (numeric) = 0.2835363217116473 absolute error = 1.73749903353837e-14 relative error = 6.127959278900702e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.878999999999958 y[1] (closed_form) = 0.2832346071904329 y[1] (numeric) = 0.2832346071904155 absolute error = 1.743050148661496e-14 relative error = 6.154086062970247e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.879999999999958 y[1] (closed_form) = 0.2829333740003029 y[1] (numeric) = 0.2829333740002855 absolute error = 1.743050148661496e-14 relative error = 6.160638188479065e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.880999999999958 y[1] (closed_form) = 0.2826326211179829 y[1] (numeric) = 0.2826326211179654 absolute error = 1.743050148661496e-14 relative error = 6.167193800088181e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.881999999999958 y[1] (closed_form) = 0.2823323475228992 y[1] (numeric) = 0.2823323475228817 absolute error = 1.743050148661496e-14 relative error = 6.173752897797593e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.882999999999958 y[1] (closed_form) = 0.2820325521971872 y[1] (numeric) = 0.2820325521971697 absolute error = 1.748601263784622e-14 relative error = 6.199998014988218e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.883999999999958 y[1] (closed_form) = 0.2817332341256831 y[1] (numeric) = 0.2817332341256656 absolute error = 1.754152378907747e-14 relative error = 6.226288440380477e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.884999999999958 y[1] (closed_form) = 0.281434392295915 y[1] (numeric) = 0.2814343922958975 absolute error = 1.759703494030873e-14 relative error = 6.252624207281062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.885999999999957 y[1] (closed_form) = 0.2811360256980945 y[1] (numeric) = 0.2811360256980769 absolute error = 1.765254609153999e-14 relative error = 6.279005348996663e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.886999999999957 y[1] (closed_form) = 0.2808381333251081 y[1] (numeric) = 0.2808381333250904 absolute error = 1.765254609153999e-14 relative error = 6.285665654637001e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.887999999999957 y[1] (closed_form) = 0.2805407141725088 y[1] (numeric) = 0.2805407141724911 absolute error = 1.765254609153999e-14 relative error = 6.292329490786557e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.888999999999957 y[1] (closed_form) = 0.2802437672385075 y[1] (numeric) = 0.2802437672384898 absolute error = 1.770805724277125e-14 relative error = 6.318805023663711e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.889999999999957 y[1] (closed_form) = 0.2799472915239646 y[1] (numeric) = 0.2799472915239469 absolute error = 1.770805724277125e-14 relative error = 6.325496898495754e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.890999999999957 y[1] (closed_form) = 0.2796512860323818 y[1] (numeric) = 0.2796512860323641 absolute error = 1.770805724277125e-14 relative error = 6.332192314939246e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.891999999999957 y[1] (closed_form) = 0.2793557497698934 y[1] (numeric) = 0.2793557497698756 absolute error = 1.77635683940025e-14 relative error = 6.358762405511408e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.892999999999957 y[1] (closed_form) = 0.2790606817452583 y[1] (numeric) = 0.2790606817452405 absolute error = 1.781907954523376e-14 relative error = 6.385378059636501e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.893999999999957 y[1] (closed_form) = 0.2787660809698511 y[1] (numeric) = 0.2787660809698333 absolute error = 1.781907954523376e-14 relative error = 6.39212614506028e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.894999999999956 y[1] (closed_form) = 0.2784719464576547 y[1] (numeric) = 0.2784719464576368 absolute error = 1.787459069646502e-14 relative error = 6.418811993036104e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.895999999999956 y[1] (closed_form) = 0.2781782772252512 y[1] (numeric) = 0.2781782772252334 absolute error = 1.787459069646502e-14 relative error = 6.425588250369134e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.896999999999956 y[1] (closed_form) = 0.2778850722918144 y[1] (numeric) = 0.2778850722917964 absolute error = 1.793010184769628e-14 relative error = 6.452344381013533e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.897999999999956 y[1] (closed_form) = 0.2775923306791008 y[1] (numeric) = 0.2775923306790828 absolute error = 1.798561299892754e-14 relative error = 6.479146219539856e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.898999999999956 y[1] (closed_form) = 0.2773000514114424 y[1] (numeric) = 0.2773000514114243 absolute error = 1.804112415015879e-14 relative error = 6.505993799254793e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.899999999999956 y[1] (closed_form) = 0.2770082335157376 y[1] (numeric) = 0.2770082335157196 absolute error = 1.804112415015879e-14 relative error = 6.512847622319438e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.900999999999956 y[1] (closed_form) = 0.276716876021444 y[1] (numeric) = 0.2767168760214259 absolute error = 1.809663530139005e-14 relative error = 6.539765684543094e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.901999999999956 y[1] (closed_form) = 0.2764259779605696 y[1] (numeric) = 0.2764259779605515 absolute error = 1.809663530139005e-14 relative error = 6.546647834948212e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.902999999999956 y[1] (closed_form) = 0.2761355383676652 y[1] (numeric) = 0.2761355383676471 absolute error = 1.815214645262131e-14 relative error = 6.573636468498428e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.903999999999956 y[1] (closed_form) = 0.2758455562798163 y[1] (numeric) = 0.2758455562797981 absolute error = 1.820765760385257e-14 relative error = 6.600670987566251e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.904999999999955 y[1] (closed_form) = 0.2755560307366348 y[1] (numeric) = 0.2755560307366166 absolute error = 1.826316875508383e-14 relative error = 6.627751425458373e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.905999999999955 y[1] (closed_form) = 0.2752669607802516 y[1] (numeric) = 0.2752669607802333 absolute error = 1.826316875508383e-14 relative error = 6.634711519070935e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.906999999999955 y[1] (closed_form) = 0.2749783454553083 y[1] (numeric) = 0.27497834545529 absolute error = 1.831867990631508e-14 relative error = 6.661862728129762e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.907999999999955 y[1] (closed_form) = 0.2746901838089494 y[1] (numeric) = 0.2746901838089311 absolute error = 1.831867990631508e-14 relative error = 6.668851304514021e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.908999999999955 y[1] (closed_form) = 0.2744024748908145 y[1] (numeric) = 0.2744024748907961 absolute error = 1.837419105754634e-14 relative error = 6.696073373557393e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.909999999999955 y[1] (closed_form) = 0.2741152177530302 y[1] (numeric) = 0.2741152177530118 absolute error = 1.84297022087776e-14 relative error = 6.723341505754059e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.910999999999955 y[1] (closed_form) = 0.2738284114502028 y[1] (numeric) = 0.2738284114501843 absolute error = 1.84297022087776e-14 relative error = 6.730383494968032e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.911999999999955 y[1] (closed_form) = 0.2735420550394099 y[1] (numeric) = 0.2735420550393914 absolute error = 1.848521336000886e-14 relative error = 6.757722631478237e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.912999999999955 y[1] (closed_form) = 0.2732561475801932 y[1] (numeric) = 0.2732561475801746 absolute error = 1.854072451124011e-14 relative error = 6.785107919959576e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.913999999999954 y[1] (closed_form) = 0.2729706881345504 y[1] (numeric) = 0.2729706881345318 absolute error = 1.854072451124011e-14 relative error = 6.792203455230028e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.914999999999954 y[1] (closed_form) = 0.2726856757669279 y[1] (numeric) = 0.2726856757669092 absolute error = 1.865174681370263e-14 relative error = 6.840017086062417e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.915999999999954 y[1] (closed_form) = 0.2724011095442124 y[1] (numeric) = 0.2724011095441938 absolute error = 1.865174681370263e-14 relative error = 6.847162570266746e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.916999999999954 y[1] (closed_form) = 0.2721169885357243 y[1] (numeric) = 0.2721169885357057 absolute error = 1.865174681370263e-14 relative error = 6.854311784820437e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.917999999999954 y[1] (closed_form) = 0.2718333118132092 y[1] (numeric) = 0.2718333118131905 absolute error = 1.870725796493389e-14 relative error = 6.881885755704811e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.918999999999954 y[1] (closed_form) = 0.2715500784508307 y[1] (numeric) = 0.271550078450812 absolute error = 1.870725796493389e-14 relative error = 6.889063730585956e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.919999999999954 y[1] (closed_form) = 0.2712672875251629 y[1] (numeric) = 0.2712672875251442 absolute error = 1.876276911616515e-14 relative error = 6.916709083259698e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.920999999999954 y[1] (closed_form) = 0.2709849381151828 y[1] (numeric) = 0.2709849381151639 absolute error = 1.88182802673964e-14 relative error = 6.944400821051409e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.921999999999954 y[1] (closed_form) = 0.2707030293022625 y[1] (numeric) = 0.2707030293022437 absolute error = 1.88182802673964e-14 relative error = 6.951632686158169e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.922999999999953 y[1] (closed_form) = 0.2704215601701623 y[1] (numeric) = 0.2704215601701435 absolute error = 1.887379141862766e-14 relative error = 6.979395950068241e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.923999999999953 y[1] (closed_form) = 0.270140529805023 y[1] (numeric) = 0.2701405298050041 absolute error = 1.887379141862766e-14 relative error = 6.986656697626987e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.924999999999953 y[1] (closed_form) = 0.2698599372953581 y[1] (numeric) = 0.2698599372953392 absolute error = 1.892930256985892e-14 relative error = 7.014491576473261e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.925999999999953 y[1] (closed_form) = 0.2695797817320471 y[1] (numeric) = 0.2695797817320281 absolute error = 1.892930256985892e-14 relative error = 7.021781250892914e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.926999999999953 y[1] (closed_form) = 0.2693000622083275 y[1] (numeric) = 0.2693000622083085 absolute error = 1.898481372109018e-14 relative error = 7.049687833493234e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.927999999999953 y[1] (closed_form) = 0.2690207778197881 y[1] (numeric) = 0.2690207778197691 absolute error = 1.898481372109018e-14 relative error = 7.057006479182714e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.928999999999953 y[1] (closed_form) = 0.2687419276643609 y[1] (numeric) = 0.2687419276643419 absolute error = 1.904032487232143e-14 relative error = 7.084984854354922e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.929999999999953 y[1] (closed_form) = 0.2684635108423147 y[1] (numeric) = 0.2684635108422957 absolute error = 1.904032487232143e-14 relative error = 7.092332515723151e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.930999999999953 y[1] (closed_form) = 0.2681855264562472 y[1] (numeric) = 0.2681855264562281 absolute error = 1.904032487232143e-14 relative error = 7.099683985156353e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.931999999999952 y[1] (closed_form) = 0.2679079736110778 y[1] (numeric) = 0.2679079736110587 absolute error = 1.904032487232143e-14 relative error = 7.10703926265453e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.932999999999952 y[1] (closed_form) = 0.2676308514140408 y[1] (numeric) = 0.2676308514140217 absolute error = 1.909583602355269e-14 relative error = 7.135140034364088e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.933999999999952 y[1] (closed_form) = 0.2673541589746779 y[1] (numeric) = 0.2673541589746588 absolute error = 1.909583602355269e-14 relative error = 7.142524394154395e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.934999999999952 y[1] (closed_form) = 0.2670778954048312 y[1] (numeric) = 0.267077895404812 absolute error = 1.915134717478395e-14 relative error = 7.170697202684907e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.935999999999952 y[1] (closed_form) = 0.2668020598186359 y[1] (numeric) = 0.2668020598186167 absolute error = 1.920685832601521e-14 relative error = 7.198916807115905e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.936999999999952 y[1] (closed_form) = 0.2665266513325132 y[1] (numeric) = 0.266526651332494 absolute error = 1.926236947724647e-14 relative error = 7.227183240754083e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.937999999999952 y[1] (closed_form) = 0.2662516690651637 y[1] (numeric) = 0.2662516690651444 absolute error = 1.926236947724647e-14 relative error = 7.234647408926516e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.938999999999952 y[1] (closed_form) = 0.2659771121375596 y[1] (numeric) = 0.2659771121375403 absolute error = 1.931788062847772e-14 relative error = 7.26298607922579e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.939999999999952 y[1] (closed_form) = 0.2657029796729382 y[1] (numeric) = 0.2657029796729188 absolute error = 1.937339177970898e-14 relative error = 7.291371667550086e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.940999999999951 y[1] (closed_form) = 0.2654292707967948 y[1] (numeric) = 0.2654292707967754 absolute error = 1.942890293094024e-14 relative error = 7.319804207206093e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.941999999999951 y[1] (closed_form) = 0.2651559846368755 y[1] (numeric) = 0.2651559846368561 absolute error = 1.942890293094024e-14 relative error = 7.327348450214177e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.942999999999951 y[1] (closed_form) = 0.2648831203231707 y[1] (numeric) = 0.2648831203231512 absolute error = 1.94844140821715e-14 relative error = 7.355853426371426e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.943999999999951 y[1] (closed_form) = 0.2646106769879076 y[1] (numeric) = 0.2646106769878881 absolute error = 1.953992523340276e-14 relative error = 7.384405442678227e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.944999999999951 y[1] (closed_form) = 0.2643386537655439 y[1] (numeric) = 0.2643386537655243 absolute error = 1.959543638463401e-14 relative error = 7.413004532441273e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.945999999999951 y[1] (closed_form) = 0.2640670497927603 y[1] (numeric) = 0.2640670497927407 absolute error = 1.959543638463401e-14 relative error = 7.420629116738534e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.946999999999951 y[1] (closed_form) = 0.2637958642084542 y[1] (numeric) = 0.2637958642084346 absolute error = 1.959543638463401e-14 relative error = 7.428257620123071e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.947999999999951 y[1] (closed_form) = 0.2635250961537328 y[1] (numeric) = 0.2635250961537132 absolute error = 1.965094753586527e-14 relative error = 7.456954886908184e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.948999999999951 y[1] (closed_form) = 0.2632547447719057 y[1] (numeric) = 0.2632547447718861 absolute error = 1.965094753586527e-14 relative error = 7.46461286116291e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.94999999999995 y[1] (closed_form) = 0.2629848092084791 y[1] (numeric) = 0.2629848092084593 absolute error = 1.970645868709653e-14 relative error = 7.493382886413942e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95099999999995 y[1] (closed_form) = 0.262715288611148 y[1] (numeric) = 0.2627152886111283 absolute error = 1.970645868709653e-14 relative error = 7.501070375947779e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95199999999995 y[1] (closed_form) = 0.2624461821297904 y[1] (numeric) = 0.2624461821297706 absolute error = 1.976196983832779e-14 relative error = 7.529913248482572e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95299999999995 y[1] (closed_form) = 0.26217748891646 y[1] (numeric) = 0.2621774889164402 absolute error = 1.981748098955904e-14 relative error = 7.558803416518215e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95399999999995 y[1] (closed_form) = 0.2619092081253799 y[1] (numeric) = 0.2619092081253601 absolute error = 1.98729921407903e-14 relative error = 7.587740913361396e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95499999999995 y[1] (closed_form) = 0.2616413389129355 y[1] (numeric) = 0.2616413389129156 absolute error = 1.98729921407903e-14 relative error = 7.595509265989231e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95599999999995 y[1] (closed_form) = 0.2613738804376683 y[1] (numeric) = 0.2613738804376484 absolute error = 1.98729921407903e-14 relative error = 7.603281593215493e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95699999999995 y[1] (closed_form) = 0.2611068318602691 y[1] (numeric) = 0.2611068318602491 absolute error = 1.992850329202156e-14 relative error = 7.632317833294484e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.95799999999995 y[1] (closed_form) = 0.2608401923435713 y[1] (numeric) = 0.2608401923435513 absolute error = 1.992850329202156e-14 relative error = 7.640119842333311e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.958999999999949 y[1] (closed_form) = 0.2605739610525447 y[1] (numeric) = 0.2605739610525247 absolute error = 1.998401444325282e-14 relative error = 7.66922925166074e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.959999999999949 y[1] (closed_form) = 0.2603081371542884 y[1] (numeric) = 0.2603081371542685 absolute error = 1.992850329202156e-14 relative error = 7.655735817512937e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.960999999999949 y[1] (closed_form) = 0.2600427198180252 y[1] (numeric) = 0.2600427198180051 absolute error = 2.003952559448408e-14 relative error = 7.70624365431476e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.961999999999949 y[1] (closed_form) = 0.2597777082150938 y[1] (numeric) = 0.2597777082150738 absolute error = 2.003952559448408e-14 relative error = 7.714105160205475e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.962999999999949 y[1] (closed_form) = 0.2595131015189436 y[1] (numeric) = 0.2595131015189236 absolute error = 2.003952559448408e-14 relative error = 7.72197067400131e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.963999999999949 y[1] (closed_form) = 0.2592488989051276 y[1] (numeric) = 0.2592488989051075 absolute error = 2.015054789694659e-14 relative error = 7.772664795124434e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.964999999999949 y[1] (closed_form) = 0.2589850995512959 y[1] (numeric) = 0.2589850995512757 absolute error = 2.015054789694659e-14 relative error = 7.780581945393145e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.965999999999949 y[1] (closed_form) = 0.2587217026371897 y[1] (numeric) = 0.2587217026371695 absolute error = 2.020605904817785e-14 relative error = 7.809959057247387e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.966999999999949 y[1] (closed_form) = 0.2584587073446346 y[1] (numeric) = 0.2584587073446143 absolute error = 2.026157019940911e-14 relative error = 7.839383864282768e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.967999999999948 y[1] (closed_form) = 0.2581961128575345 y[1] (numeric) = 0.2581961128575141 absolute error = 2.031708135064036e-14 relative error = 7.868856399805978e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.968999999999948 y[1] (closed_form) = 0.2579339183618649 y[1] (numeric) = 0.2579339183618445 absolute error = 2.031708135064036e-14 relative error = 7.876855234733724e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.969999999999948 y[1] (closed_form) = 0.2576721230456671 y[1] (numeric) = 0.2576721230456467 absolute error = 2.037259250187162e-14 relative error = 7.906401461310193e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.970999999999948 y[1] (closed_form) = 0.2574107260990415 y[1] (numeric) = 0.2574107260990211 absolute error = 2.042810365310288e-14 relative error = 7.935995505192331e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.971999999999948 y[1] (closed_form) = 0.2571497267141415 y[1] (numeric) = 0.2571497267141211 absolute error = 2.042810365310288e-14 relative error = 7.94405030646275e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.972999999999948 y[1] (closed_form) = 0.2568891240851672 y[1] (numeric) = 0.2568891240851467 absolute error = 2.048361480433414e-14 relative error = 7.973718185727143e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.973999999999948 y[1] (closed_form) = 0.2566289174083592 y[1] (numeric) = 0.2566289174083387 absolute error = 2.048361480433414e-14 relative error = 7.981803068490412e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.974999999999948 y[1] (closed_form) = 0.2563691058819925 y[1] (numeric) = 0.256369105881972 absolute error = 2.05391259555654e-14 relative error = 8.011544871954899e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.975999999999948 y[1] (closed_form) = 0.2561096887063702 y[1] (numeric) = 0.2561096887063497 absolute error = 2.05391259555654e-14 relative error = 8.019659880619941e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.976999999999947 y[1] (closed_form) = 0.2558506650838175 y[1] (numeric) = 0.2558506650837969 absolute error = 2.059463710679665e-14 relative error = 8.049475697102365e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.977999999999947 y[1] (closed_form) = 0.2555920342186752 y[1] (numeric) = 0.2555920342186545 absolute error = 2.065014825802791e-14 relative error = 8.079339530730603e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.978999999999947 y[1] (closed_form) = 0.2553337953172939 y[1] (numeric) = 0.2553337953172733 absolute error = 2.065014825802791e-14 relative error = 8.087510794396304e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.979999999999947 y[1] (closed_form) = 0.2550759475880282 y[1] (numeric) = 0.2550759475880076 absolute error = 2.065014825802791e-14 relative error = 8.095686188091657e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.980999999999947 y[1] (closed_form) = 0.2548184902412299 y[1] (numeric) = 0.2548184902412092 absolute error = 2.065014825802791e-14 relative error = 8.103865711816661e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.981999999999947 y[1] (closed_form) = 0.2545614224892425 y[1] (numeric) = 0.2545614224892218 absolute error = 2.070565940925917e-14 relative error = 8.133855949887366e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.982999999999947 y[1] (closed_form) = 0.254304743546395 y[1] (numeric) = 0.2543047435463743 absolute error = 2.070565940925917e-14 relative error = 8.142065743843139e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.983999999999947 y[1] (closed_form) = 0.2540484526289959 y[1] (numeric) = 0.2540484526289752 absolute error = 2.076117056049043e-14 relative error = 8.172130294691998e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.984999999999947 y[1] (closed_form) = 0.2537925489553274 y[1] (numeric) = 0.2537925489553066 absolute error = 2.076117056049043e-14 relative error = 8.180370403287455e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.985999999999946 y[1] (closed_form) = 0.2535370317456389 y[1] (numeric) = 0.2535370317456181 absolute error = 2.076117056049043e-14 relative error = 8.188614664117026e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.986999999999946 y[1] (closed_form) = 0.2532819002221419 y[1] (numeric) = 0.253281900222121 absolute error = 2.081668171172169e-14 relative error = 8.218779823376378e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.987999999999946 y[1] (closed_form) = 0.2530271536090032 y[1] (numeric) = 0.2530271536089824 absolute error = 2.081668171172169e-14 relative error = 8.227054454356787e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.988999999999946 y[1] (closed_form) = 0.2527727911323397 y[1] (numeric) = 0.2527727911323189 absolute error = 2.081668171172169e-14 relative error = 8.235333248673538e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.989999999999946 y[1] (closed_form) = 0.2525188120202121 y[1] (numeric) = 0.2525188120201913 absolute error = 2.087219286295294e-14 relative error = 8.265599182876833e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.990999999999946 y[1] (closed_form) = 0.2522652155026193 y[1] (numeric) = 0.2522652155025984 absolute error = 2.087219286295294e-14 relative error = 8.273908402855575e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.991999999999946 y[1] (closed_form) = 0.2520120008114923 y[1] (numeric) = 0.2520120008114714 absolute error = 2.09277040141842e-14 relative error = 8.304248982903931e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.992999999999946 y[1] (closed_form) = 0.2517591671806887 y[1] (numeric) = 0.2517591671806677 absolute error = 2.098321516541546e-14 relative error = 8.334637979778393e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.993999999999946 y[1] (closed_form) = 0.2515067138459865 y[1] (numeric) = 0.2515067138459655 absolute error = 2.103872631664672e-14 relative error = 8.365075426785649e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.994999999999945 y[1] (closed_form) = 0.2512546400450787 y[1] (numeric) = 0.2512546400450577 absolute error = 2.103872631664672e-14 relative error = 8.373467774713359e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.995999999999945 y[1] (closed_form) = 0.2510029450175676 y[1] (numeric) = 0.2510029450175466 absolute error = 2.109423746787797e-14 relative error = 8.40398006740582e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.996999999999945 y[1] (closed_form) = 0.2507516280049585 y[1] (numeric) = 0.2507516280049374 absolute error = 2.109423746787797e-14 relative error = 8.412402996426744e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.997999999999945 y[1] (closed_form) = 0.2505006882506547 y[1] (numeric) = 0.2505006882506336 absolute error = 2.114974861910923e-14 relative error = 8.44299022362225e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.998999999999945 y[1] (closed_form) = 0.2502501249999512 y[1] (numeric) = 0.25025012499993 absolute error = 2.114974861910923e-14 relative error = 8.451443778145309e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 TOP MAIN SOLVE Loop x[1] = -1.999999999999945 y[1] (closed_form) = 0.2499999375000294 y[1] (numeric) = 0.2499999375000082 absolute error = 2.117750419472486e-14 relative error = 8.471003795639897e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -0.001 Finished! diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ; Iterations = 501 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 0 %