##############ECHO OF PROBLEM################# ##############temp/lin_sin_cospostode.ode################# diff ( y , x , 1 ) = sin(2.0 * x + 3.0) + cos(1.5 * x - 2.0); ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = 0.1; x_end = 5.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.05; glob_look_poles = true; glob_max_iter = 1000000; /* 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(-cos(2.0*x + 3.0)/2.0 + sin(1.5*x -2.0)/1.5); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = -0.14170274741949 y[1] (numeric) = -0.14170274741949 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = -0.1417060870911263 y[1] (numeric) = -0.1417060870911263 absolute error = 2.775557561562891e-17 relative error = 1.958672078622866e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = -0.1417094268182294 y[1] (numeric) = -0.1417094268182293 absolute error = 8.326672684688674e-17 relative error = 5.875877753262875e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = -0.1417127666007983 y[1] (numeric) = -0.1417127666007983 absolute error = 5.551115123125783e-17 relative error = 3.917159516589742e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = -0.1417161064388325 y[1] (numeric) = -0.1417161064388324 absolute error = 5.551115123125783e-17 relative error = 3.917067200489139e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = -0.1417194463323308 y[1] (numeric) = -0.1417194463323308 absolute error = 5.551115123125783e-17 relative error = 3.916974887206705e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = -0.1417227862812926 y[1] (numeric) = -0.1417227862812926 absolute error = 8.326672684688674e-17 relative error = 5.875323865113561e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = -0.1417261262857169 y[1] (numeric) = -0.1417261262857169 absolute error = 2.775557561562891e-17 relative error = 1.95839513454804e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = -0.141729466345603 y[1] (numeric) = -0.1417294663456029 absolute error = 5.551115123125783e-17 relative error = 3.916697964267753e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = -0.1417328064609499 y[1] (numeric) = -0.1417328064609498 absolute error = 2.775557561562891e-17 relative error = 1.958302831128664e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = -0.1417361466317567 y[1] (numeric) = -0.1417361466317567 absolute error = 5.551115123125783e-17 relative error = 3.916513363064737e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = -0.1417394868580227 y[1] (numeric) = -0.1417394868580227 absolute error = 2.775557561562891e-17 relative error = 1.958210533344957e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = -0.141742827139747 y[1] (numeric) = -0.141742827139747 absolute error = 5.551115123125783e-17 relative error = 3.916328773132787e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = -0.1417461674769287 y[1] (numeric) = -0.1417461674769287 absolute error = 2.775557561562891e-17 relative error = 1.958118241196648e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = -0.141749507869567 y[1] (numeric) = -0.141749507869567 absolute error = 2.775557561562891e-17 relative error = 1.958072097235684e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = -0.1417528483176611 y[1] (numeric) = -0.141752848317661 absolute error = 2.775557561562891e-17 relative error = 1.958025954683468e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = -0.14175618882121 y[1] (numeric) = -0.1417561888212099 absolute error = 5.551115123125783e-17 relative error = 3.915959627079935e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = -0.1417595293802128 y[1] (numeric) = -0.1417595293802128 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = -0.1417628699946689 y[1] (numeric) = -0.1417628699946689 absolute error = 2.775557561562891e-17 relative error = 1.957887535478979e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = -0.1417662106645772 y[1] (numeric) = -0.1417662106645772 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = -0.141769551389937 y[1] (numeric) = -0.141769551389937 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = -0.1417728921707474 y[1] (numeric) = -0.1417728921707474 absolute error = 2.775557561562891e-17 relative error = 1.957749128952018e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = -0.1417762330070075 y[1] (numeric) = -0.1417762330070075 absolute error = 2.775557561562891e-17 relative error = 1.957702996260103e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = -0.1417795738987165 y[1] (numeric) = -0.1417795738987165 absolute error = 2.775557561562891e-17 relative error = 1.957656864976667e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = -0.1417829148458735 y[1] (numeric) = -0.1417829148458735 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = -0.1417862558484778 y[1] (numeric) = -0.1417862558484778 absolute error = 8.326672684688674e-17 relative error = 5.8726938199053e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = -0.1417895969065283 y[1] (numeric) = -0.1417895969065283 absolute error = 2.775557561562891e-17 relative error = 1.957518479576902e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = -0.1417929380200243 y[1] (numeric) = -0.1417929380200243 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = -0.141796279188965 y[1] (numeric) = -0.141796279188965 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = -0.1417996204133493 y[1] (numeric) = -0.1417996204133493 absolute error = 2.775557561562891e-17 relative error = 1.957380106852242e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = -0.1418029616931766 y[1] (numeric) = -0.1418029616931766 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = -0.1418063030284459 y[1] (numeric) = -0.1418063030284459 absolute error = 2.775557561562891e-17 relative error = 1.957287865410413e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = -0.1418096444191564 y[1] (numeric) = -0.1418096444191564 absolute error = 2.775557561562891e-17 relative error = 1.95724174680178e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = -0.1418129858653073 y[1] (numeric) = -0.1418129858653073 absolute error = 2.775557561562891e-17 relative error = 1.957195629601291e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = -0.1418163273668976 y[1] (numeric) = -0.1418163273668976 absolute error = 5.551115123125783e-17 relative error = 3.914299027617825e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = -0.1418196689239266 y[1] (numeric) = -0.1418196689239266 absolute error = 2.775557561562891e-17 relative error = 1.957103399424608e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = -0.1418230105363933 y[1] (numeric) = -0.1418230105363933 absolute error = 5.551115123125783e-17 relative error = 3.914114572896694e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = -0.1418263522042969 y[1] (numeric) = -0.141826352204297 absolute error = 2.775557561562891e-17 relative error = 1.957011174880094e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = -0.1418296939276366 y[1] (numeric) = -0.1418296939276367 absolute error = 5.551115123125783e-17 relative error = 3.913930129439633e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = -0.1418330357064115 y[1] (numeric) = -0.1418330357064116 absolute error = 5.551115123125783e-17 relative error = 3.91383791193496e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = -0.1418363775406208 y[1] (numeric) = -0.1418363775406208 absolute error = 5.551115123125783e-17 relative error = 3.913745697246103e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = -0.1418397194302636 y[1] (numeric) = -0.1418397194302636 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = -0.1418430613753389 y[1] (numeric) = -0.1418430613753389 absolute error = 2.775557561562891e-17 relative error = 1.956780638157782e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = -0.141846403375846 y[1] (numeric) = -0.1418464033758461 absolute error = 8.326672684688674e-17 relative error = 5.870203605110626e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = -0.1418497454317842 y[1] (numeric) = -0.1418497454317842 absolute error = 2.775557561562891e-17 relative error = 1.95668843332374e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = -0.1418530875431523 y[1] (numeric) = -0.1418530875431524 absolute error = 2.775557561562891e-17 relative error = 1.956642333018345e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = -0.1418564297099497 y[1] (numeric) = -0.1418564297099497 absolute error = 2.775557561562891e-17 relative error = 1.956596234120656e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = -0.1418597719321755 y[1] (numeric) = -0.1418597719321755 absolute error = 2.775557561562891e-17 relative error = 1.956550136630639e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = -0.1418631142098287 y[1] (numeric) = -0.1418631142098288 absolute error = 2.775557561562891e-17 relative error = 1.95650404054826e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = -0.1418664565429086 y[1] (numeric) = -0.1418664565429086 absolute error = 5.551115123125783e-17 relative error = 3.912915891746973e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = -0.1418697989314143 y[1] (numeric) = -0.1418697989314143 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = -0.141873141375345 y[1] (numeric) = -0.141873141375345 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = -0.1418764838746996 y[1] (numeric) = -0.1418764838746997 absolute error = 5.551115123125783e-17 relative error = 3.912639340588913e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = -0.1418798264294776 y[1] (numeric) = -0.1418798264294776 absolute error = 5.551115123125783e-17 relative error = 3.91254716249953e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = -0.1418831690396778 y[1] (numeric) = -0.1418831690396779 absolute error = 8.326672684688674e-17 relative error = 5.868682480837532e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = -0.1418865117052997 y[1] (numeric) = -0.1418865117052997 absolute error = 5.551115123125783e-17 relative error = 3.912362814765316e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = -0.1418898544263421 y[1] (numeric) = -0.1418898544263422 absolute error = 8.326672684688674e-17 relative error = 5.868405967680527e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = -0.1418931972028044 y[1] (numeric) = -0.1418931972028045 absolute error = 5.551115123125783e-17 relative error = 3.912178478290056e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = -0.1418965400346856 y[1] (numeric) = -0.1418965400346857 absolute error = 8.326672684688674e-17 relative error = 5.868129471411549e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = -0.1418998829219849 y[1] (numeric) = -0.141899882921985 absolute error = 8.326672684688674e-17 relative error = 5.867991229609818e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = -0.1419032258647014 y[1] (numeric) = -0.1419032258647015 absolute error = 1.110223024625157e-16 relative error = 7.823803989373054e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = -0.1419065688628344 y[1] (numeric) = -0.1419065688628344 absolute error = 5.551115123125783e-17 relative error = 3.911809839114242e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = -0.1419099119163828 y[1] (numeric) = -0.1419099119163829 absolute error = 8.326672684688674e-17 relative error = 5.867576529534441e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = -0.1419132550253459 y[1] (numeric) = -0.1419132550253459 absolute error = 8.326672684688674e-17 relative error = 5.867438304618919e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = -0.1419165981897228 y[1] (numeric) = -0.1419165981897228 absolute error = 5.551115123125783e-17 relative error = 3.911533389283129e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = -0.1419199414095126 y[1] (numeric) = -0.1419199414095127 absolute error = 5.551115123125783e-17 relative error = 3.911441244967779e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = -0.1419232846847145 y[1] (numeric) = -0.1419232846847146 absolute error = 5.551115123125783e-17 relative error = 3.911349103466494e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = -0.1419266280153277 y[1] (numeric) = -0.1419266280153278 absolute error = 8.326672684688674e-17 relative error = 5.866885447168812e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = -0.1419299714013512 y[1] (numeric) = -0.1419299714013513 absolute error = 5.551115123125783e-17 relative error = 3.911164828905851e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = -0.1419333148427843 y[1] (numeric) = -0.1419333148427844 absolute error = 5.551115123125783e-17 relative error = 3.911072695846358e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = -0.1419366583396261 y[1] (numeric) = -0.1419366583396261 absolute error = 2.775557561562891e-17 relative error = 1.955490282800329e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = -0.1419400018918756 y[1] (numeric) = -0.1419400018918756 absolute error = 5.551115123125783e-17 relative error = 3.910888438168691e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = -0.1419433454995321 y[1] (numeric) = -0.1419433454995321 absolute error = 2.775557561562891e-17 relative error = 1.955398156775191e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = -0.1419466891625947 y[1] (numeric) = -0.1419466891625947 absolute error = 5.551115123125783e-17 relative error = 3.910704191745667e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = -0.1419500328810625 y[1] (numeric) = -0.1419500328810626 absolute error = 5.551115123125783e-17 relative error = 3.910612072754479e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = -0.1419533766549347 y[1] (numeric) = -0.1419533766549348 absolute error = 8.326672684688674e-17 relative error = 5.865779934865126e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = -0.1419567204842105 y[1] (numeric) = -0.1419567204842105 absolute error = 2.775557561562891e-17 relative error = 1.955213921606206e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = -0.1419600643688888 y[1] (numeric) = -0.1419600643688889 absolute error = 8.326672684688674e-17 relative error = 5.865503598992099e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = -0.1419634083089691 y[1] (numeric) = -0.1419634083089691 absolute error = 2.775557561562891e-17 relative error = 1.955121812461821e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = -0.1419667523044502 y[1] (numeric) = -0.1419667523044502 absolute error = 5.551115123125783e-17 relative error = 3.910151519999076e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = -0.1419700963553314 y[1] (numeric) = -0.1419700963553315 absolute error = 5.551115123125783e-17 relative error = 3.910059417887632e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = -0.1419734404616119 y[1] (numeric) = -0.141973440461612 absolute error = 8.326672684688674e-17 relative error = 5.864950977883864e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = -0.1419767846232908 y[1] (numeric) = -0.1419767846232909 absolute error = 1.110223024625157e-16 relative error = 7.819750444207682e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = -0.1419801288403672 y[1] (numeric) = -0.1419801288403673 absolute error = 1.110223024625157e-16 relative error = 7.819566256862719e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = -0.1419834731128402 y[1] (numeric) = -0.1419834731128403 absolute error = 1.110223024625157e-16 relative error = 7.819382075143462e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = -0.1419868174407091 y[1] (numeric) = -0.1419868174407092 absolute error = 1.110223024625157e-16 relative error = 7.819197899049776e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = -0.1419901618239729 y[1] (numeric) = -0.141990161823973 absolute error = 1.110223024625157e-16 relative error = 7.819013728581526e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = -0.1419935062626308 y[1] (numeric) = -0.1419935062626309 absolute error = 1.110223024625157e-16 relative error = 7.818829563738578e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = -0.1419968507566819 y[1] (numeric) = -0.1419968507566821 absolute error = 1.110223024625157e-16 relative error = 7.818645404520795e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = -0.1420001953061255 y[1] (numeric) = -0.1420001953061256 absolute error = 8.326672684688674e-17 relative error = 5.863845938196034e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = -0.1420035399109605 y[1] (numeric) = -0.1420035399109606 absolute error = 1.387778780781446e-16 relative error = 9.772846378700246e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = -0.1420068845711862 y[1] (numeric) = -0.1420068845711863 absolute error = 1.110223024625157e-16 relative error = 7.818092960617106e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = -0.1420102292868017 y[1] (numeric) = -0.1420102292868018 absolute error = 1.387778780781446e-16 relative error = 9.772386029873308e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = -0.1420135740578061 y[1] (numeric) = -0.1420135740578062 absolute error = 1.387778780781446e-16 relative error = 9.772155866005847e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = -0.1420169188841987 y[1] (numeric) = -0.1420169188841988 absolute error = 1.110223024625157e-16 relative error = 7.817540567335067e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = -0.1420202637659784 y[1] (numeric) = -0.1420202637659785 absolute error = 8.326672684688674e-17 relative error = 5.86301733561726e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = -0.1420236087031445 y[1] (numeric) = -0.1420236087031446 absolute error = 1.110223024625157e-16 relative error = 7.817172333268386e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = -0.1420269536956962 y[1] (numeric) = -0.1420269536956963 absolute error = 1.110223024625157e-16 relative error = 7.816988224671043e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = -0.1420302987436324 y[1] (numeric) = -0.1420302987436326 absolute error = 1.665334536937735e-16 relative error = 1.172520618254628e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = -0.1420336438469526 y[1] (numeric) = -0.1420336438469527 absolute error = 1.110223024625157e-16 relative error = 7.816620024347683e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = -0.1420369890056556 y[1] (numeric) = -0.1420369890056557 absolute error = 8.326672684688674e-17 relative error = 5.862326949466045e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sin(2.0 * x + 3.0) + cos(1.5 * x - 2.0); Iterations = 100 Total Elapsed Time = 11 Seconds Elapsed Time(since restart) = 10 Seconds Expected Time Remaining = 14 Hours 49 Minutes 15 Seconds Optimized Time Remaining = 13 Hours 28 Minutes 24 Seconds Time to Timeout = 49 Seconds Percent Done = 0.02061 %