##############ECHO OF PROBLEM################# ##############temp/sing2postode.ode################# diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ; ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = -2.0; x_end = 1.0; glob_h = 0.00001; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles = true; glob_max_iter = 100; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(arctan(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -2 y[1] (analytic) = -1.10714871779409 y[1] (numeric) = -1.10714871779409 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.99999 y[1] (analytic) = -1.107146717786091 y[1] (numeric) = -1.10714671778609 absolute error = 2.220446049250313e-16 relative error = 2.005557180073148e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.99998 y[1] (analytic) = -1.10714471776209 y[1] (numeric) = -1.10714471776209 absolute error = 2.220446049250313e-16 relative error = 2.005560803052538e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.99997 y[1] (analytic) = -1.10714271772209 y[1] (numeric) = -1.10714271772209 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.99996 y[1] (analytic) = -1.107140717666089 y[1] (numeric) = -1.107140717666089 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.99995 y[1] (analytic) = -1.107138717594087 y[1] (numeric) = -1.107138717594087 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.99994 y[1] (analytic) = -1.107136717506084 y[1] (numeric) = -1.107136717506084 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.99993 y[1] (analytic) = -1.10713471740208 y[1] (numeric) = -1.10713471740208 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999919999999999 y[1] (analytic) = -1.107132717282075 y[1] (numeric) = -1.107132717282075 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999909999999999 y[1] (analytic) = -1.107130717146069 y[1] (numeric) = -1.107130717146069 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999899999999999 y[1] (analytic) = -1.107128716994061 y[1] (numeric) = -1.107128716994061 absolute error = 2.220446049250313e-16 relative error = 2.005589788402376e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999889999999999 y[1] (analytic) = -1.107126716826051 y[1] (numeric) = -1.107126716826051 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999879999999999 y[1] (analytic) = -1.10712471664204 y[1] (numeric) = -1.107124716642039 absolute error = 2.220446049250313e-16 relative error = 2.005597035160617e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999869999999999 y[1] (analytic) = -1.107122716442026 y[1] (numeric) = -1.107122716442026 absolute error = 2.220446049250313e-16 relative error = 2.005600658602859e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999859999999999 y[1] (analytic) = -1.10712071622601 y[1] (numeric) = -1.107120716226009 absolute error = 2.220446049250313e-16 relative error = 2.005604282087182e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999849999999999 y[1] (analytic) = -1.107118715993991 y[1] (numeric) = -1.107118715993991 absolute error = 2.220446049250313e-16 relative error = 2.005607905613588e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999839999999999 y[1] (analytic) = -1.10711671574597 y[1] (numeric) = -1.10711671574597 absolute error = 2.220446049250313e-16 relative error = 2.005611529182076e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999829999999999 y[1] (analytic) = -1.107114715481946 y[1] (numeric) = -1.107114715481946 absolute error = 2.220446049250313e-16 relative error = 2.005615152792649e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999819999999999 y[1] (analytic) = -1.107112715201919 y[1] (numeric) = -1.107112715201919 absolute error = 2.220446049250313e-16 relative error = 2.005618776445306e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999809999999999 y[1] (analytic) = -1.107110714905889 y[1] (numeric) = -1.107110714905889 absolute error = 2.220446049250313e-16 relative error = 2.005622400140048e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999799999999999 y[1] (analytic) = -1.107108714593856 y[1] (numeric) = -1.107108714593855 absolute error = 4.440892098500626e-16 relative error = 4.011252047753751e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999789999999999 y[1] (analytic) = -1.107106714265819 y[1] (numeric) = -1.107106714265818 absolute error = 4.440892098500626e-16 relative error = 4.01125929531158e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999779999999999 y[1] (analytic) = -1.107104713921778 y[1] (numeric) = -1.107104713921778 absolute error = 2.220446049250313e-16 relative error = 2.005633271476792e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999769999999998 y[1] (analytic) = -1.107102713561733 y[1] (numeric) = -1.107102713561733 absolute error = 2.220446049250313e-16 relative error = 2.005636895339882e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999759999999998 y[1] (analytic) = -1.107100713185685 y[1] (numeric) = -1.107100713185684 absolute error = 2.220446049250313e-16 relative error = 2.00564051924506e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999749999999998 y[1] (analytic) = -1.107098712793632 y[1] (numeric) = -1.107098712793632 absolute error = 2.220446049250313e-16 relative error = 2.005644143192328e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999739999999998 y[1] (analytic) = -1.107096712385575 y[1] (numeric) = -1.107096712385574 absolute error = 2.220446049250313e-16 relative error = 2.005647767181686e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999729999999998 y[1] (analytic) = -1.107094711961513 y[1] (numeric) = -1.107094711961513 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999719999999998 y[1] (analytic) = -1.107092711521446 y[1] (numeric) = -1.107092711521446 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999709999999998 y[1] (analytic) = -1.107090711065375 y[1] (numeric) = -1.107090711065375 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999699999999998 y[1] (analytic) = -1.107088710593298 y[1] (numeric) = -1.107088710593298 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999689999999998 y[1] (analytic) = -1.107086710105216 y[1] (numeric) = -1.107086710105216 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999679999999998 y[1] (analytic) = -1.107084709601129 y[1] (numeric) = -1.107084709601129 absolute error = 2.220446049250313e-16 relative error = 2.005669512001766e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999669999999998 y[1] (analytic) = -1.107082709081036 y[1] (numeric) = -1.107082709081036 absolute error = 2.220446049250313e-16 relative error = 2.005673136285775e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999659999999998 y[1] (analytic) = -1.107080708544937 y[1] (numeric) = -1.107080708544937 absolute error = 2.220446049250313e-16 relative error = 2.005676760611879e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999649999999998 y[1] (analytic) = -1.107078707992832 y[1] (numeric) = -1.107078707992832 absolute error = 2.220446049250313e-16 relative error = 2.00568038498008e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999639999999998 y[1] (analytic) = -1.107076707424721 y[1] (numeric) = -1.107076707424721 absolute error = 2.220446049250313e-16 relative error = 2.005684009390378e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999629999999998 y[1] (analytic) = -1.107074706840604 y[1] (numeric) = -1.107074706840604 absolute error = 2.220446049250313e-16 relative error = 2.005687633842774e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999619999999998 y[1] (analytic) = -1.10707270624048 y[1] (numeric) = -1.10707270624048 absolute error = 2.220446049250313e-16 relative error = 2.005691258337268e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999609999999997 y[1] (analytic) = -1.10707070562435 y[1] (numeric) = -1.10707070562435 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999599999999997 y[1] (analytic) = -1.107068704992212 y[1] (numeric) = -1.107068704992213 absolute error = 2.220446049250313e-16 relative error = 2.005698507452555e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999589999999997 y[1] (analytic) = -1.107066704344068 y[1] (numeric) = -1.107066704344068 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999579999999997 y[1] (analytic) = -1.107064703679916 y[1] (numeric) = -1.107064703679916 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999569999999997 y[1] (analytic) = -1.107062702999758 y[1] (numeric) = -1.107062702999757 absolute error = 2.220446049250313e-16 relative error = 2.005709381441242e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999559999999997 y[1] (analytic) = -1.107060702303591 y[1] (numeric) = -1.107060702303591 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999549999999997 y[1] (analytic) = -1.107058701591417 y[1] (numeric) = -1.107058701591416 absolute error = 2.220446049250313e-16 relative error = 2.005716630977546e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999539999999997 y[1] (analytic) = -1.107056700863234 y[1] (numeric) = -1.107056700863234 absolute error = 2.220446049250313e-16 relative error = 2.005720255808855e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999529999999997 y[1] (analytic) = -1.107054700119044 y[1] (numeric) = -1.107054700119044 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999519999999997 y[1] (analytic) = -1.107052699358845 y[1] (numeric) = -1.107052699358845 absolute error = 2.220446049250313e-16 relative error = 2.005727505597786e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999509999999997 y[1] (analytic) = -1.107050698582638 y[1] (numeric) = -1.107050698582638 absolute error = 2.220446049250313e-16 relative error = 2.005731130555411e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999499999999997 y[1] (analytic) = -1.107048697790423 y[1] (numeric) = -1.107048697790422 absolute error = 2.220446049250313e-16 relative error = 2.005734755555143e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999489999999997 y[1] (analytic) = -1.107046696982198 y[1] (numeric) = -1.107046696982198 absolute error = 2.220446049250313e-16 relative error = 2.005738380596983e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999479999999997 y[1] (analytic) = -1.107044696157965 y[1] (numeric) = -1.107044696157965 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999469999999997 y[1] (analytic) = -1.107042695317722 y[1] (numeric) = -1.107042695317722 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999459999999996 y[1] (analytic) = -1.10704069446147 y[1] (numeric) = -1.10704069446147 absolute error = 2.220446049250313e-16 relative error = 2.005749255975155e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999449999999996 y[1] (analytic) = -1.107038693589208 y[1] (numeric) = -1.107038693589208 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999439999999996 y[1] (analytic) = -1.107036692700937 y[1] (numeric) = -1.107036692700937 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999429999999996 y[1] (analytic) = -1.107034691796656 y[1] (numeric) = -1.107034691796656 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999419999999996 y[1] (analytic) = -1.107032690876365 y[1] (numeric) = -1.107032690876365 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999409999999996 y[1] (analytic) = -1.107030689940064 y[1] (numeric) = -1.107030689940064 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999399999999996 y[1] (analytic) = -1.107028688987753 y[1] (numeric) = -1.107028688987753 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999389999999996 y[1] (analytic) = -1.10702668801943 y[1] (numeric) = -1.10702668801943 absolute error = 2.220446049250313e-16 relative error = 2.00577463333146e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999379999999996 y[1] (analytic) = -1.107024687035097 y[1] (numeric) = -1.107024687035097 absolute error = 2.220446049250313e-16 relative error = 2.005778258836531e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999369999999996 y[1] (analytic) = -1.107022686034753 y[1] (numeric) = -1.107022686034754 absolute error = 2.220446049250313e-16 relative error = 2.005781884383718e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999359999999996 y[1] (analytic) = -1.107020685018399 y[1] (numeric) = -1.107020685018399 absolute error = 2.220446049250313e-16 relative error = 2.005785509973022e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999349999999996 y[1] (analytic) = -1.107018683986032 y[1] (numeric) = -1.107018683986033 absolute error = 2.220446049250313e-16 relative error = 2.005789135604444e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999339999999996 y[1] (analytic) = -1.107016682937655 y[1] (numeric) = -1.107016682937655 absolute error = 2.220446049250313e-16 relative error = 2.005792761277984e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999329999999996 y[1] (analytic) = -1.107014681873265 y[1] (numeric) = -1.107014681873266 absolute error = 2.220446049250313e-16 relative error = 2.005796386993643e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999319999999996 y[1] (analytic) = -1.107012680792864 y[1] (numeric) = -1.107012680792864 absolute error = 2.220446049250313e-16 relative error = 2.005800012751422e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999309999999995 y[1] (analytic) = -1.107010679696451 y[1] (numeric) = -1.107010679696451 absolute error = 2.220446049250313e-16 relative error = 2.005803638551321e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999299999999995 y[1] (analytic) = -1.107008678584026 y[1] (numeric) = -1.107008678584026 absolute error = 4.440892098500626e-16 relative error = 4.011614528786683e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999289999999995 y[1] (analytic) = -1.107006677455588 y[1] (numeric) = -1.107006677455589 absolute error = 2.220446049250313e-16 relative error = 2.005810890277484e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999279999999995 y[1] (analytic) = -1.107004676311138 y[1] (numeric) = -1.107004676311139 absolute error = 4.440892098500626e-16 relative error = 4.011629032407497e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999269999999995 y[1] (analytic) = -1.107002675150676 y[1] (numeric) = -1.107002675150676 absolute error = 4.440892098500626e-16 relative error = 4.011636284344272e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999259999999995 y[1] (analytic) = -1.1070006739742 y[1] (numeric) = -1.1070006739742 absolute error = 4.440892098500626e-16 relative error = 4.011643536365296e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999249999999995 y[1] (analytic) = -1.106998672781711 y[1] (numeric) = -1.106998672781712 absolute error = 4.440892098500626e-16 relative error = 4.01165078847057e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999239999999995 y[1] (analytic) = -1.10699667157321 y[1] (numeric) = -1.10699667157321 absolute error = 4.440892098500626e-16 relative error = 4.011658040660093e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999229999999995 y[1] (analytic) = -1.106994670348695 y[1] (numeric) = -1.106994670348695 absolute error = 2.220446049250313e-16 relative error = 2.005832646466934e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999219999999995 y[1] (analytic) = -1.106992669108166 y[1] (numeric) = -1.106992669108166 absolute error = 4.440892098500626e-16 relative error = 4.011672545291897e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999209999999995 y[1] (analytic) = -1.106990667851623 y[1] (numeric) = -1.106990667851624 absolute error = 4.440892098500626e-16 relative error = 4.011679797734181e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999199999999995 y[1] (analytic) = -1.106988666579067 y[1] (numeric) = -1.106988666579067 absolute error = 4.440892098500626e-16 relative error = 4.011687050260721e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999189999999995 y[1] (analytic) = -1.106986665290496 y[1] (numeric) = -1.106986665290497 absolute error = 6.661338147750939e-16 relative error = 6.017541454307281e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999179999999995 y[1] (analytic) = -1.106984663985912 y[1] (numeric) = -1.106984663985912 absolute error = 6.661338147750939e-16 relative error = 6.017552333349865e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999169999999995 y[1] (analytic) = -1.106982662665313 y[1] (numeric) = -1.106982662665313 absolute error = 4.440892098500626e-16 relative error = 4.011708808345894e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999159999999994 y[1] (analytic) = -1.106980661328699 y[1] (numeric) = -1.106980661328699 absolute error = 6.661338147750939e-16 relative error = 6.017574091814212e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999149999999994 y[1] (analytic) = -1.10697865997607 y[1] (numeric) = -1.106978659976071 absolute error = 6.661338147750939e-16 relative error = 6.017584971235976e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999139999999994 y[1] (analytic) = -1.106976658607427 y[1] (numeric) = -1.106976658607427 absolute error = 6.661338147750939e-16 relative error = 6.017595850784139e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999129999999994 y[1] (analytic) = -1.106974657222768 y[1] (numeric) = -1.106974657222769 absolute error = 8.881784197001252e-16 relative error = 8.0234756406116e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999119999999994 y[1] (analytic) = -1.106972655822094 y[1] (numeric) = -1.106972655822094 absolute error = 6.661338147750939e-16 relative error = 6.017617610259662e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999109999999994 y[1] (analytic) = -1.106970654405404 y[1] (numeric) = -1.106970654405405 absolute error = 6.661338147750939e-16 relative error = 6.017628490187028e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999099999999994 y[1] (analytic) = -1.106968652972699 y[1] (numeric) = -1.1069686529727 absolute error = 8.881784197001252e-16 relative error = 8.023519160321067e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999089999999994 y[1] (analytic) = -1.106966651523978 y[1] (numeric) = -1.106966651523979 absolute error = 8.881784197001252e-16 relative error = 8.023533667227972e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999079999999994 y[1] (analytic) = -1.106964650059241 y[1] (numeric) = -1.106964650059242 absolute error = 8.881784197001252e-16 relative error = 8.023548174303425e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999069999999994 y[1] (analytic) = -1.106962648578488 y[1] (numeric) = -1.106962648578488 absolute error = 8.881784197001252e-16 relative error = 8.023562681547427e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999059999999994 y[1] (analytic) = -1.106960647081718 y[1] (numeric) = -1.106960647081719 absolute error = 8.881784197001252e-16 relative error = 8.023577188959981e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999049999999994 y[1] (analytic) = -1.106958645568932 y[1] (numeric) = -1.106958645568933 absolute error = 8.881784197001252e-16 relative error = 8.02359169654109e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999039999999994 y[1] (analytic) = -1.106956644040129 y[1] (numeric) = -1.10695664404013 absolute error = 8.881784197001252e-16 relative error = 8.023606204290757e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999029999999994 y[1] (analytic) = -1.106954642495309 y[1] (numeric) = -1.10695464249531 absolute error = 8.881784197001252e-16 relative error = 8.023620712208985e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999019999999994 y[1] (analytic) = -1.106952640934472 y[1] (numeric) = -1.106952640934473 absolute error = 8.881784197001252e-16 relative error = 8.023635220295775e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.999009999999994 y[1] (analytic) = -1.106950639357618 y[1] (numeric) = -1.106950639357619 absolute error = 8.881784197001252e-16 relative error = 8.023649728551132e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.998999999999993 y[1] (analytic) = -1.106948637764746 y[1] (numeric) = -1.106948637764747 absolute error = 8.881784197001252e-16 relative error = 8.023664236975059e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ; Iterations = 100 Total Elapsed Time = 13 Seconds Elapsed Time(since restart) = 12 Seconds Expected Time Remaining = 10 Hours 43 Minutes 20 Seconds Optimized Time Remaining = 9 Hours 53 Minutes 51 Seconds Time to Timeout = 47 Seconds Percent Done = 0.03367 %