##############ECHO OF PROBLEM################# ##############temp/sing4postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 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; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.1; glob_look_poles = true; glob_max_iter = 50; /* 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(1.0 / (x * x + 1.0)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -2 y[1] (analytic) = 0.2 y[1] (numeric) = 0.2 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.99999 y[1] (analytic) = 0.2000016000088 y[1] (numeric) = 0.2000016000088 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.99998 y[1] (analytic) = 0.2000032000352003 y[1] (numeric) = 0.2000032000352003 absolute error = 2.775557561562891e-17 relative error = 1.387756576431975e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.99997 y[1] (analytic) = 0.2000048000792011 y[1] (numeric) = 0.200004800079201 absolute error = 2.775557561562891e-17 relative error = 1.387745474340507e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.99996 y[1] (analytic) = 0.2000064001408025 y[1] (numeric) = 0.2000064001408025 absolute error = 5.551115123125783e-17 relative error = 2.775468744609099e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.99995 y[1] (analytic) = 0.2000080002200048 y[1] (numeric) = 0.2000080002200048 absolute error = 5.551115123125783e-17 relative error = 2.775446540648207e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.99994 y[1] (analytic) = 0.2000096003168084 y[1] (numeric) = 0.2000096003168083 absolute error = 8.326672684688674e-17 relative error = 4.163136505197505e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.99993 y[1] (analytic) = 0.2000112004312132 y[1] (numeric) = 0.2000112004312131 absolute error = 8.326672684688674e-17 relative error = 4.163103199589234e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999919999999999 y[1] (analytic) = 0.2000128005632197 y[1] (numeric) = 0.2000128005632196 absolute error = 1.110223024625157e-16 relative error = 5.550759858863328e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999909999999999 y[1] (analytic) = 0.2000144007128281 y[1] (numeric) = 0.200014400712828 absolute error = 1.110223024625157e-16 relative error = 5.550715451829722e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999899999999999 y[1] (analytic) = 0.2000160008800385 y[1] (numeric) = 0.2000160008800384 absolute error = 1.387778780781446e-16 relative error = 6.9383388062727e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999889999999999 y[1] (analytic) = 0.2000176010648512 y[1] (numeric) = 0.2000176010648511 absolute error = 1.387778780781446e-16 relative error = 6.938283298035804e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999879999999999 y[1] (analytic) = 0.2000192012672665 y[1] (numeric) = 0.2000192012672663 absolute error = 1.665334536937735e-16 relative error = 8.325873348091755e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999869999999999 y[1] (analytic) = 0.2000208014872845 y[1] (numeric) = 0.2000208014872843 absolute error = 1.665334536937735e-16 relative error = 8.325806738873614e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999859999999999 y[1] (analytic) = 0.2000224017249055 y[1] (numeric) = 0.2000224017249053 absolute error = 1.665334536937735e-16 relative error = 8.32574012998854e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999849999999999 y[1] (analytic) = 0.2000240019801298 y[1] (numeric) = 0.2000240019801296 absolute error = 1.942890293094024e-16 relative error = 9.713285775009287e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999839999999999 y[1] (analytic) = 0.2000256022529575 y[1] (numeric) = 0.2000256022529573 absolute error = 1.942890293094024e-16 relative error = 9.713208065420523e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999829999999999 y[1] (analytic) = 0.2000272025433888 y[1] (numeric) = 0.2000272025433886 absolute error = 2.220446049250313e-16 relative error = 1.110072040710896e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999819999999999 y[1] (analytic) = 0.2000288028514242 y[1] (numeric) = 0.2000288028514239 absolute error = 2.498001805406602e-16 relative error = 1.248821054666836e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999809999999999 y[1] (analytic) = 0.2000304031770636 y[1] (numeric) = 0.2000304031770634 absolute error = 2.498001805406602e-16 relative error = 1.248811063583875e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999799999999999 y[1] (analytic) = 0.2000320035203074 y[1] (numeric) = 0.2000320035203072 absolute error = 2.498001805406602e-16 relative error = 1.248801072550875e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999789999999999 y[1] (analytic) = 0.2000336038811559 y[1] (numeric) = 0.2000336038811556 absolute error = 2.775557561562891e-16 relative error = 1.387545646186482e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999779999999999 y[1] (analytic) = 0.2000352042596091 y[1] (numeric) = 0.2000352042596089 absolute error = 2.775557561562891e-16 relative error = 1.387534545149725e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999769999999998 y[1] (analytic) = 0.2000368046556675 y[1] (numeric) = 0.2000368046556672 absolute error = 2.775557561562891e-16 relative error = 1.38752344416848e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999759999999998 y[1] (analytic) = 0.2000384050693311 y[1] (numeric) = 0.2000384050693308 absolute error = 2.775557561562891e-16 relative error = 1.387512343242745e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999749999999998 y[1] (analytic) = 0.2000400055006003 y[1] (numeric) = 0.2000400055006 absolute error = 2.775557561562891e-16 relative error = 1.387501242372522e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999739999999998 y[1] (analytic) = 0.2000416059494753 y[1] (numeric) = 0.200041605949475 absolute error = 3.05311331771918e-16 relative error = 1.526239155713591e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999729999999998 y[1] (analytic) = 0.2000432064159562 y[1] (numeric) = 0.2000432064159559 absolute error = 3.05311331771918e-16 relative error = 1.526226944878471e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999719999999998 y[1] (analytic) = 0.2000448069000433 y[1] (numeric) = 0.200044806900043 absolute error = 3.05311331771918e-16 relative error = 1.526214734104412e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999709999999998 y[1] (analytic) = 0.2000464074017369 y[1] (numeric) = 0.2000464074017366 absolute error = 3.05311331771918e-16 relative error = 1.526202523391415e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999699999999998 y[1] (analytic) = 0.2000480079210372 y[1] (numeric) = 0.2000480079210369 absolute error = 3.05311331771918e-16 relative error = 1.526190312739481e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999689999999998 y[1] (analytic) = 0.2000496084579444 y[1] (numeric) = 0.2000496084579441 absolute error = 3.33066907387547e-16 relative error = 1.664921565980301e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999679999999998 y[1] (analytic) = 0.2000512090124588 y[1] (numeric) = 0.2000512090124584 absolute error = 3.33066907387547e-16 relative error = 1.664908245402327e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999669999999998 y[1] (analytic) = 0.2000528095845805 y[1] (numeric) = 0.2000528095845801 absolute error = 3.608224830031759e-16 relative error = 1.80363616863188e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999659999999998 y[1] (analytic) = 0.2000544101743098 y[1] (numeric) = 0.2000544101743094 absolute error = 3.608224830031759e-16 relative error = 1.803621738150071e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999649999999998 y[1] (analytic) = 0.200056010781647 y[1] (numeric) = 0.2000560107816466 absolute error = 3.885780586188048e-16 relative error = 1.942346331412766e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999639999999998 y[1] (analytic) = 0.2000576114065922 y[1] (numeric) = 0.2000576114065918 absolute error = 3.885780586188048e-16 relative error = 1.942330791049325e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999629999999998 y[1] (analytic) = 0.2000592120491457 y[1] (numeric) = 0.2000592120491453 absolute error = 3.885780586188048e-16 relative error = 1.942315250763601e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999619999999998 y[1] (analytic) = 0.2000608127093078 y[1] (numeric) = 0.2000608127093073 absolute error = 4.163336342344337e-16 relative error = 2.081035404166705e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999609999999997 y[1] (analytic) = 0.2000624133870786 y[1] (numeric) = 0.2000624133870781 absolute error = 4.163336342344337e-16 relative error = 2.081018754027104e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999599999999997 y[1] (analytic) = 0.2000640140824584 y[1] (numeric) = 0.2000640140824579 absolute error = 4.440892098500626e-16 relative error = 2.219735577568822e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999589999999997 y[1] (analytic) = 0.2000656147954474 y[1] (numeric) = 0.2000656147954469 absolute error = 4.718447854656915e-16 relative error = 2.358450181197397e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999579999999997 y[1] (analytic) = 0.2000672155260458 y[1] (numeric) = 0.2000672155260454 absolute error = 4.718447854656915e-16 relative error = 2.35843131132229e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999569999999997 y[1] (analytic) = 0.200068816274254 y[1] (numeric) = 0.2000688162742535 absolute error = 4.718447854656915e-16 relative error = 2.358412441541552e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999559999999997 y[1] (analytic) = 0.200070417040072 y[1] (numeric) = 0.2000704170400715 absolute error = 4.996003610813204e-16 relative error = 2.497122605493723e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999549999999997 y[1] (analytic) = 0.2000720178235002 y[1] (numeric) = 0.2000720178234997 absolute error = 4.996003610813204e-16 relative error = 2.497102625925723e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999539999999997 y[1] (analytic) = 0.2000736186245388 y[1] (numeric) = 0.2000736186245383 absolute error = 4.996003610813204e-16 relative error = 2.497082646457643e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999529999999997 y[1] (analytic) = 0.2000752194431879 y[1] (numeric) = 0.2000752194431874 absolute error = 4.996003610813204e-16 relative error = 2.497062667089483e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999519999999997 y[1] (analytic) = 0.2000768202794479 y[1] (numeric) = 0.2000768202794474 absolute error = 4.996003610813204e-16 relative error = 2.497042687821243e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999509999999997 y[1] (analytic) = 0.200078421133319 y[1] (numeric) = 0.2000784211333185 absolute error = 5.273559366969494e-16 relative error = 2.635746192466974e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999499999999997 y[1] (analytic) = 0.2000800220048014 y[1] (numeric) = 0.2000800220048008 absolute error = 5.273559366969494e-16 relative error = 2.63572510345033e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999489999999997 y[1] (analytic) = 0.2000816228938952 y[1] (numeric) = 0.2000816228938947 absolute error = 5.273559366969494e-16 relative error = 2.635704014539157e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999479999999997 y[1] (analytic) = 0.2000832238006008 y[1] (numeric) = 0.2000832238006003 absolute error = 5.273559366969494e-16 relative error = 2.635682925733456e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999469999999997 y[1] (analytic) = 0.2000848247249185 y[1] (numeric) = 0.2000848247249179 absolute error = 5.551115123125783e-16 relative error = 2.774380881087605e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999459999999996 y[1] (analytic) = 0.2000864256668483 y[1] (numeric) = 0.2000864256668478 absolute error = 5.551115123125783e-16 relative error = 2.774358682566805e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999449999999996 y[1] (analytic) = 0.2000880266263906 y[1] (numeric) = 0.20008802662639 absolute error = 5.551115123125783e-16 relative error = 2.774336484157028e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999439999999996 y[1] (analytic) = 0.2000896276035455 y[1] (numeric) = 0.200089627603545 absolute error = 5.828670879282072e-16 relative error = 2.913030000151187e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999429999999996 y[1] (analytic) = 0.2000912285983134 y[1] (numeric) = 0.2000912285983128 absolute error = 5.828670879282072e-16 relative error = 2.913006692054068e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.571 x[1] = -1.999419999999996 y[1] (analytic) = 0.2000928296106944 y[1] (numeric) = 0.2000928296106938 absolute error = 5.828670879282072e-16 relative error = 2.912983384073522e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999409999999996 y[1] (analytic) = 0.2000944306406888 y[1] (numeric) = 0.2000944306406882 absolute error = 6.106226635438361e-16 relative error = 3.051672460790957e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999399999999996 y[1] (analytic) = 0.2000960316882967 y[1] (numeric) = 0.2000960316882961 absolute error = 6.106226635438361e-16 relative error = 3.051648043150825e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999389999999996 y[1] (analytic) = 0.2000976327535185 y[1] (numeric) = 0.2000976327535179 absolute error = 6.106226635438361e-16 relative error = 3.051623625632817e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999379999999996 y[1] (analytic) = 0.2000992338363544 y[1] (numeric) = 0.2000992338363538 absolute error = 6.38378239159465e-16 relative error = 3.190308263156794e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999369999999996 y[1] (analytic) = 0.2001008349368045 y[1] (numeric) = 0.2001008349368039 absolute error = 6.38378239159465e-16 relative error = 3.190282736006956e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999359999999996 y[1] (analytic) = 0.2001024360548692 y[1] (numeric) = 0.2001024360548685 absolute error = 6.661338147750939e-16 relative error = 3.328964044158045e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999349999999996 y[1] (analytic) = 0.2001040371905486 y[1] (numeric) = 0.200104037190548 absolute error = 6.661338147750939e-16 relative error = 3.32893740739858e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999339999999996 y[1] (analytic) = 0.200105638343843 y[1] (numeric) = 0.2001056383438423 absolute error = 6.938893903907228e-16 relative error = 3.467615386221189e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999329999999996 y[1] (analytic) = 0.2001072395147526 y[1] (numeric) = 0.200107239514752 absolute error = 6.938893903907228e-16 relative error = 3.467587639874302e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999319999999996 y[1] (analytic) = 0.2001088407032777 y[1] (numeric) = 0.200108840703277 absolute error = 6.938893903907228e-16 relative error = 3.467559893666193e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999309999999995 y[1] (analytic) = 0.2001104419094185 y[1] (numeric) = 0.2001104419094177 absolute error = 7.216449660063518e-16 relative error = 3.606233433500736e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999299999999995 y[1] (analytic) = 0.2001120431331751 y[1] (numeric) = 0.2001120431331744 absolute error = 6.938893903907228e-16 relative error = 3.467504401666309e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999289999999995 y[1] (analytic) = 0.2001136443745479 y[1] (numeric) = 0.2001136443745472 absolute error = 7.216449660063518e-16 relative error = 3.606175722109514e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999279999999995 y[1] (analytic) = 0.200115245633537 y[1] (numeric) = 0.2001152456335363 absolute error = 7.216449660063518e-16 relative error = 3.606146866630397e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999269999999995 y[1] (analytic) = 0.2001168469101428 y[1] (numeric) = 0.200116846910142 absolute error = 7.494005416219807e-16 relative error = 3.744814857883901e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999259999999995 y[1] (analytic) = 0.2001184482043653 y[1] (numeric) = 0.2001184482043646 absolute error = 7.494005416219807e-16 relative error = 3.744784892878425e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999249999999995 y[1] (analytic) = 0.2001200495162049 y[1] (numeric) = 0.2001200495162042 absolute error = 7.494005416219807e-16 relative error = 3.744754928022828e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999239999999995 y[1] (analytic) = 0.2001216508456619 y[1] (numeric) = 0.2001216508456611 absolute error = 7.771561172376096e-16 relative error = 3.883418480477003e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999229999999995 y[1] (analytic) = 0.2001232521927363 y[1] (numeric) = 0.2001232521927355 absolute error = 8.049116928532385e-16 relative error = 4.022079813484331e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999219999999995 y[1] (analytic) = 0.2001248535574285 y[1] (numeric) = 0.2001248535574277 absolute error = 8.049116928532385e-16 relative error = 4.022047629492748e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999209999999995 y[1] (analytic) = 0.2001264549397386 y[1] (numeric) = 0.2001264549397378 absolute error = 8.049116928532385e-16 relative error = 4.022015445662147e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999199999999995 y[1] (analytic) = 0.200128056339667 y[1] (numeric) = 0.2001280563396662 absolute error = 8.326672684688674e-16 relative error = 4.160672339992271e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999189999999995 y[1] (analytic) = 0.2001296577572138 y[1] (numeric) = 0.200129657757213 absolute error = 8.326672684688674e-16 relative error = 4.160639046707475e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999179999999995 y[1] (analytic) = 0.2001312591923793 y[1] (numeric) = 0.2001312591923785 absolute error = 8.326672684688674e-16 relative error = 4.160605753589213e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999169999999995 y[1] (analytic) = 0.2001328606451637 y[1] (numeric) = 0.2001328606451629 absolute error = 8.604228440844963e-16 relative error = 4.2992582093254e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999159999999994 y[1] (analytic) = 0.2001344621155672 y[1] (numeric) = 0.2001344621155664 absolute error = 8.604228440844963e-16 relative error = 4.299223806780698e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999149999999994 y[1] (analytic) = 0.2001360636035902 y[1] (numeric) = 0.2001360636035893 absolute error = 8.881784197001252e-16 relative error = 4.437872933582534e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999139999999994 y[1] (analytic) = 0.2001376651092326 y[1] (numeric) = 0.2001376651092318 absolute error = 8.881784197001252e-16 relative error = 4.437837421633597e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999129999999994 y[1] (analytic) = 0.200139266632495 y[1] (numeric) = 0.2001392666324941 absolute error = 8.881784197001252e-16 relative error = 4.437801909862295e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999119999999994 y[1] (analytic) = 0.2001408681733773 y[1] (numeric) = 0.2001408681733764 absolute error = 8.881784197001252e-16 relative error = 4.43776639826863e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999109999999994 y[1] (analytic) = 0.20014246973188 y[1] (numeric) = 0.2001424697318791 absolute error = 9.159339953157541e-16 relative error = 4.576409977066743e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999099999999994 y[1] (analytic) = 0.2001440713080032 y[1] (numeric) = 0.2001440713080022 absolute error = 9.159339953157541e-16 relative error = 4.576373356102148e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999089999999994 y[1] (analytic) = 0.2001456729017471 y[1] (numeric) = 0.2001456729017461 absolute error = 9.436895709313831e-16 relative error = 4.715013606088036e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999079999999994 y[1] (analytic) = 0.200147274513112 y[1] (numeric) = 0.200147274513111 absolute error = 9.436895709313831e-16 relative error = 4.714975875774718e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999069999999994 y[1] (analytic) = 0.2001488761420981 y[1] (numeric) = 0.2001488761420971 absolute error = 9.71445146547012e-16 relative error = 4.853612796992788e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999059999999994 y[1] (analytic) = 0.2001504777887056 y[1] (numeric) = 0.2001504777887047 absolute error = 9.71445146547012e-16 relative error = 4.85357395735295e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999049999999994 y[1] (analytic) = 0.2001520794529349 y[1] (numeric) = 0.2001520794529339 absolute error = 9.992007221626409e-16 relative error = 4.992207549847613e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999039999999994 y[1] (analytic) = 0.200153681134786 y[1] (numeric) = 0.200153681134785 absolute error = 9.992007221626409e-16 relative error = 4.992167600903461e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999029999999994 y[1] (analytic) = 0.2001552828342593 y[1] (numeric) = 0.2001552828342583 absolute error = 1.02695629777827e-15 relative error = 5.130797864719124e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999019999999994 y[1] (analytic) = 0.2001568845513549 y[1] (numeric) = 0.2001568845513539 absolute error = 1.02695629777827e-15 relative error = 5.13075680649286e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.999009999999994 y[1] (analytic) = 0.2001584862860731 y[1] (numeric) = 0.2001584862860721 absolute error = 1.02695629777827e-15 relative error = 5.130715748471987e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.998999999999993 y[1] (analytic) = 0.2001600880384142 y[1] (numeric) = 0.2001600880384131 absolute error = 1.02695629777827e-15 relative error = 5.130674690656507e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0); Iterations = 100 Total Elapsed Time = 17 Seconds Elapsed Time(since restart) = 17 Seconds Expected Time Remaining = 14 Hours 1 Minutes 18 Seconds Optimized Time Remaining = 13 Hours 11 Minutes 48 Seconds Time to Timeout = 43 Seconds Percent Done = 0.03367 %