##############ECHO OF PROBLEM################# ##############temp/div_sin_cpostode.ode################# diff ( y , x , 1 ) = sin(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(x)/2.0); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = -0.4975020826390129 y[1] (numeric) = -0.4975020826390129 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) = -0.4975015834470545 y[1] (numeric) = -0.4975015834470546 absolute error = 5.551115123125783e-17 relative error = 1.115798483426646e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = -0.4975010842053461 y[1] (numeric) = -0.4975010842053461 absolute error = 5.551115123125783e-17 relative error = 1.115799603129012e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = -0.4975005849138875 y[1] (numeric) = -0.4975005849138875 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = -0.4975000855726788 y[1] (numeric) = -0.4975000855726788 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = -0.4974995861817201 y[1] (numeric) = -0.4974995861817202 absolute error = 5.551115123125783e-17 relative error = 1.115802962919078e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = -0.4974990867410115 y[1] (numeric) = -0.4974990867410116 absolute error = 5.551115123125783e-17 relative error = 1.115804083076757e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = -0.497498587250553 y[1] (numeric) = -0.497498587250553 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = -0.4974980877103446 y[1] (numeric) = -0.4974980877103446 absolute error = 5.551115123125783e-17 relative error = 1.115806323733605e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = -0.4974975881203864 y[1] (numeric) = -0.4974975881203865 absolute error = 5.551115123125783e-17 relative error = 1.115807444232775e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = -0.4974970884806785 y[1] (numeric) = -0.4974970884806785 absolute error = 5.551115123125783e-17 relative error = 1.115808564845777e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = -0.4974965887912208 y[1] (numeric) = -0.4974965887912209 absolute error = 1.110223024625157e-16 relative error = 2.231619371145221e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = -0.4974960890520135 y[1] (numeric) = -0.4974960890520135 absolute error = 5.551115123125783e-17 relative error = 1.115810806413276e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = -0.4974955892630565 y[1] (numeric) = -0.4974955892630566 absolute error = 5.551115123125783e-17 relative error = 1.115811927367775e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = -0.4974950894243501 y[1] (numeric) = -0.4974950894243501 absolute error = 5.551115123125783e-17 relative error = 1.115813048436108e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = -0.497494589535894 y[1] (numeric) = -0.4974945895358941 absolute error = 5.551115123125783e-17 relative error = 1.115814169618275e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = -0.4974940895976886 y[1] (numeric) = -0.4974940895976886 absolute error = 5.551115123125783e-17 relative error = 1.115815290914277e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = -0.4974935896097337 y[1] (numeric) = -0.4974935896097338 absolute error = 5.551115123125783e-17 relative error = 1.115816412324114e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = -0.4974930895720295 y[1] (numeric) = -0.4974930895720295 absolute error = 5.551115123125783e-17 relative error = 1.115817533847787e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = -0.4974925894845759 y[1] (numeric) = -0.497492589484576 absolute error = 5.551115123125783e-17 relative error = 1.115818655485297e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = -0.4974920893473732 y[1] (numeric) = -0.4974920893473732 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) = -0.4974915891604211 y[1] (numeric) = -0.4974915891604211 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = -0.49749108892372 y[1] (numeric) = -0.49749108892372 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = -0.4974905886372697 y[1] (numeric) = -0.4974905886372697 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = -0.4974900883010704 y[1] (numeric) = -0.4974900883010704 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) = -0.497489587915122 y[1] (numeric) = -0.497489587915122 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = -0.4974890874794247 y[1] (numeric) = -0.4974890874794247 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = -0.4974885869939785 y[1] (numeric) = -0.4974885869939785 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) = -0.4974880864587835 y[1] (numeric) = -0.4974880864587835 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) = -0.4974875858738396 y[1] (numeric) = -0.4974875858738396 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = -0.4974870852391469 y[1] (numeric) = -0.4974870852391469 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) = -0.4974865845547056 y[1] (numeric) = -0.4974865845547056 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = -0.4974860838205156 y[1] (numeric) = -0.4974860838205156 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = -0.497485583036577 y[1] (numeric) = -0.497485583036577 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = -0.4974850822028898 y[1] (numeric) = -0.4974850822028898 absolute error = 5.551115123125783e-17 relative error = 1.115835493708707e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = -0.4974845813194542 y[1] (numeric) = -0.4974845813194541 absolute error = 5.551115123125783e-17 relative error = 1.115836617167678e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = -0.49748408038627 y[1] (numeric) = -0.49748408038627 absolute error = 5.551115123125783e-17 relative error = 1.115837740740495e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = -0.4974835794033375 y[1] (numeric) = -0.4974835794033374 absolute error = 5.551115123125783e-17 relative error = 1.115838864427159e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = -0.4974830783706566 y[1] (numeric) = -0.4974830783706565 absolute error = 5.551115123125783e-17 relative error = 1.11583998822767e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = -0.4974825772882274 y[1] (numeric) = -0.4974825772882273 absolute error = 5.551115123125783e-17 relative error = 1.115841112142028e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = -0.4974820761560499 y[1] (numeric) = -0.4974820761560498 absolute error = 5.551115123125783e-17 relative error = 1.115842236170236e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = -0.4974815749741242 y[1] (numeric) = -0.4974815749741242 absolute error = 5.551115123125783e-17 relative error = 1.115843360312292e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = -0.4974810737424504 y[1] (numeric) = -0.4974810737424503 absolute error = 5.551115123125783e-17 relative error = 1.115844484568198e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = -0.4974805724610284 y[1] (numeric) = -0.4974805724610284 absolute error = 5.551115123125783e-17 relative error = 1.115845608937954e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = -0.4974800711298584 y[1] (numeric) = -0.4974800711298584 absolute error = 5.551115123125783e-17 relative error = 1.115846733421561e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = -0.4974795697489405 y[1] (numeric) = -0.4974795697489404 absolute error = 1.110223024625157e-16 relative error = 2.231695716038037e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = -0.4974790683182745 y[1] (numeric) = -0.4974790683182744 absolute error = 5.551115123125783e-17 relative error = 1.115848982730329e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = -0.4974785668378606 y[1] (numeric) = -0.4974785668378606 absolute error = 5.551115123125783e-17 relative error = 1.115850107555491e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = -0.4974780653076989 y[1] (numeric) = -0.4974780653076988 absolute error = 5.551115123125783e-17 relative error = 1.115851232494506e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = -0.4974775637277894 y[1] (numeric) = -0.4974775637277893 absolute error = 1.110223024625157e-16 relative error = 2.23170471509475e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = -0.4974770620981321 y[1] (numeric) = -0.497477062098132 absolute error = 1.110223024625157e-16 relative error = 2.231706965428196e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = -0.4974765604187271 y[1] (numeric) = -0.497476560418727 absolute error = 1.110223024625157e-16 relative error = 2.231709215989351e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = -0.4974760586895745 y[1] (numeric) = -0.4974760586895743 absolute error = 1.665334536937735e-16 relative error = 3.347567200167325e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = -0.4974755569106742 y[1] (numeric) = -0.497475556910674 absolute error = 1.665334536937735e-16 relative error = 3.347570576692192e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = -0.4974750550820264 y[1] (numeric) = -0.4974750550820262 absolute error = 1.665334536937735e-16 relative error = 3.347573953558627e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = -0.497474553203631 y[1] (numeric) = -0.4974745532036309 absolute error = 1.665334536937735e-16 relative error = 3.347577330766633e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = -0.4974740512754883 y[1] (numeric) = -0.4974740512754881 absolute error = 1.665334536937735e-16 relative error = 3.347580708316212e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = -0.4974735492975981 y[1] (numeric) = -0.4974735492975979 absolute error = 2.220446049250313e-16 relative error = 4.463445448276487e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = -0.4974730472699606 y[1] (numeric) = -0.4974730472699604 absolute error = 2.220446049250313e-16 relative error = 4.463449952586793e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = -0.4974725451925757 y[1] (numeric) = -0.4974725451925756 absolute error = 1.665334536937735e-16 relative error = 3.347590843014402e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = -0.4974720430654437 y[1] (numeric) = -0.4974720430654435 absolute error = 2.220446049250313e-16 relative error = 4.463458962573718e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = -0.4974715408885644 y[1] (numeric) = -0.4974715408885642 absolute error = 2.220446049250313e-16 relative error = 4.463463468250342e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = -0.4974710386619379 y[1] (numeric) = -0.4974710386619377 absolute error = 2.220446049250313e-16 relative error = 4.463467974382409e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = -0.4974705363855644 y[1] (numeric) = -0.4974705363855642 absolute error = 2.220446049250313e-16 relative error = 4.463472480969922e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = -0.4974700340594437 y[1] (numeric) = -0.4974700340594436 absolute error = 1.665334536937735e-16 relative error = 3.347607741009664e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = -0.4974695316835762 y[1] (numeric) = -0.4974695316835759 absolute error = 2.220446049250313e-16 relative error = 4.463481495511297e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = -0.4974690292579616 y[1] (numeric) = -0.4974690292579614 absolute error = 2.220446049250313e-16 relative error = 4.463486003465163e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = -0.4974685267826001 y[1] (numeric) = -0.4974685267825999 absolute error = 2.220446049250313e-16 relative error = 4.463490511874484e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = -0.4974680242574918 y[1] (numeric) = -0.4974680242574916 absolute error = 2.220446049250313e-16 relative error = 4.463495020739262e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = -0.4974675216826367 y[1] (numeric) = -0.4974675216826365 absolute error = 2.220446049250313e-16 relative error = 4.4634995300595e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = -0.4974670190580348 y[1] (numeric) = -0.4974670190580346 absolute error = 2.220446049250313e-16 relative error = 4.4635040398352e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = -0.4974665163836862 y[1] (numeric) = -0.497466516383686 absolute error = 2.220446049250313e-16 relative error = 4.463508550066366e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = -0.497466013659591 y[1] (numeric) = -0.4974660136595908 absolute error = 2.775557561562891e-16 relative error = 5.579391325941246e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = -0.4974655108857492 y[1] (numeric) = -0.4974655108857489 absolute error = 2.775557561562891e-16 relative error = 5.579396964868871e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = -0.4974650080621608 y[1] (numeric) = -0.4974650080621605 absolute error = 2.775557561562891e-16 relative error = 5.579402604365835e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = -0.4974645051888259 y[1] (numeric) = -0.4974645051888257 absolute error = 2.220446049250313e-16 relative error = 4.463526595545714e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = -0.4974640022657446 y[1] (numeric) = -0.4974640022657443 absolute error = 2.775557561562891e-16 relative error = 5.579413885067793e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = -0.4974634992929169 y[1] (numeric) = -0.4974634992929166 absolute error = 2.775557561562891e-16 relative error = 5.579419526272791e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = -0.4974629962703428 y[1] (numeric) = -0.4974629962703425 absolute error = 2.775557561562891e-16 relative error = 5.57942516804714e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = -0.4974624931980224 y[1] (numeric) = -0.4974624931980222 absolute error = 2.220446049250313e-16 relative error = 4.463544648312675e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = -0.4974619900759558 y[1] (numeric) = -0.4974619900759555 absolute error = 2.220446049250313e-16 relative error = 4.463549162643121e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = -0.4974614869041429 y[1] (numeric) = -0.4974614869041427 absolute error = 2.220446049250313e-16 relative error = 4.463553677429055e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = -0.497460983682584 y[1] (numeric) = -0.4974609836825837 absolute error = 2.220446049250313e-16 relative error = 4.463558192670479e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = -0.4974604804112789 y[1] (numeric) = -0.4974604804112787 absolute error = 2.220446049250313e-16 relative error = 4.463562708367394e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = -0.4974599770902278 y[1] (numeric) = -0.4974599770902275 absolute error = 2.220446049250313e-16 relative error = 4.463567224519803e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = -0.4974594737194307 y[1] (numeric) = -0.4974594737194304 absolute error = 2.220446049250313e-16 relative error = 4.46357174112771e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = -0.4974589702988876 y[1] (numeric) = -0.4974589702988874 absolute error = 2.220446049250313e-16 relative error = 4.463576258191114e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = -0.4974584668285986 y[1] (numeric) = -0.4974584668285984 absolute error = 2.220446049250313e-16 relative error = 4.463580775710019e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = -0.4974579633085638 y[1] (numeric) = -0.4974579633085636 absolute error = 2.220446049250313e-16 relative error = 4.463585293684428e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = -0.4974574597387832 y[1] (numeric) = -0.497457459738783 absolute error = 2.220446049250313e-16 relative error = 4.463589812114342e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = -0.4974569561192568 y[1] (numeric) = -0.4974569561192566 absolute error = 2.220446049250313e-16 relative error = 4.463594330999764e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = -0.4974564524499848 y[1] (numeric) = -0.4974564524499845 absolute error = 2.220446049250313e-16 relative error = 4.463598850340696e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = -0.4974559487309671 y[1] (numeric) = -0.4974559487309668 absolute error = 2.775557561562891e-16 relative error = 5.579504212671425e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = -0.4974554449622038 y[1] (numeric) = -0.4974554449622035 absolute error = 2.775557561562891e-16 relative error = 5.579509862986374e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = -0.497454941143695 y[1] (numeric) = -0.4974549411436947 absolute error = 3.33066907387547e-16 relative error = 6.695418616644863e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = -0.4974544372754406 y[1] (numeric) = -0.4974544372754403 absolute error = 3.33066907387547e-16 relative error = 6.695425398389355e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = -0.4974539333574409 y[1] (numeric) = -0.4974539333574405 absolute error = 3.33066907387547e-16 relative error = 6.69543218081713e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = -0.4974534293896957 y[1] (numeric) = -0.4974534293896954 absolute error = 3.33066907387547e-16 relative error = 6.69543896392819e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = -0.4974529253722052 y[1] (numeric) = -0.4974529253722049 absolute error = 3.33066907387547e-16 relative error = 6.69544574772254e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = -0.4974524213049694 y[1] (numeric) = -0.4974524213049691 absolute error = 3.33066907387547e-16 relative error = 6.695452532200183e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = -0.4974519171879884 y[1] (numeric) = -0.497451917187988 absolute error = 3.33066907387547e-16 relative error = 6.695459317361122e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sin(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 %