##############ECHO OF PROBLEM################# ##############temp/mult_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) = -1.990008330556052 y[1] (numeric) = -1.990008330556052 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) = -1.990006333788218 y[1] (numeric) = -1.990006333788218 absolute error = 2.220446049250313e-16 relative error = 1.115798483426646e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = -1.990004336821384 y[1] (numeric) = -1.990004336821384 absolute error = 2.220446049250313e-16 relative error = 1.115799603129012e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = -1.99000233965555 y[1] (numeric) = -1.99000233965555 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) = -1.990000342290715 y[1] (numeric) = -1.990000342290715 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) = -1.989998344726881 y[1] (numeric) = -1.989998344726881 absolute error = 2.220446049250313e-16 relative error = 1.115802962919078e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = -1.989996346964046 y[1] (numeric) = -1.989996346964046 absolute error = 2.220446049250313e-16 relative error = 1.115804083076757e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = -1.989994349002212 y[1] (numeric) = -1.989994349002212 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) = -1.989992350841378 y[1] (numeric) = -1.989992350841379 absolute error = 2.220446049250313e-16 relative error = 1.115806323733605e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = -1.989990352481546 y[1] (numeric) = -1.989990352481546 absolute error = 2.220446049250313e-16 relative error = 1.115807444232775e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = -1.989988353922714 y[1] (numeric) = -1.989988353922714 absolute error = 2.220446049250313e-16 relative error = 1.115808564845777e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = -1.989986355164883 y[1] (numeric) = -1.989986355164884 absolute error = 4.440892098500626e-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) = -1.989984356208054 y[1] (numeric) = -1.989984356208054 absolute error = 2.220446049250313e-16 relative error = 1.115810806413276e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = -1.989982357052226 y[1] (numeric) = -1.989982357052226 absolute error = 2.220446049250313e-16 relative error = 1.115811927367775e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = -1.9899803576974 y[1] (numeric) = -1.9899803576974 absolute error = 2.220446049250313e-16 relative error = 1.115813048436108e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = -1.989978358143576 y[1] (numeric) = -1.989978358143576 absolute error = 2.220446049250313e-16 relative error = 1.115814169618275e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = -1.989976358390754 y[1] (numeric) = -1.989976358390755 absolute error = 2.220446049250313e-16 relative error = 1.115815290914277e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = -1.989974358438935 y[1] (numeric) = -1.989974358438935 absolute error = 2.220446049250313e-16 relative error = 1.115816412324114e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = -1.989972358288118 y[1] (numeric) = -1.989972358288118 absolute error = 2.220446049250313e-16 relative error = 1.115817533847787e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = -1.989970357938304 y[1] (numeric) = -1.989970357938304 absolute error = 2.220446049250313e-16 relative error = 1.115818655485297e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = -1.989968357389493 y[1] (numeric) = -1.989968357389493 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) = -1.989966356641685 y[1] (numeric) = -1.989966356641685 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) = -1.98996435569488 y[1] (numeric) = -1.98996435569488 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) = -1.989962354549079 y[1] (numeric) = -1.989962354549079 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) = -1.989960353204282 y[1] (numeric) = -1.989960353204282 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) = -1.989958351660488 y[1] (numeric) = -1.989958351660488 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) = -1.989956349917699 y[1] (numeric) = -1.989956349917699 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) = -1.989954347975914 y[1] (numeric) = -1.989954347975914 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) = -1.989952345835134 y[1] (numeric) = -1.989952345835134 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) = -1.989950343495358 y[1] (numeric) = -1.989950343495358 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) = -1.989948340956588 y[1] (numeric) = -1.989948340956588 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) = -1.989946338218822 y[1] (numeric) = -1.989946338218822 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) = -1.989944335282062 y[1] (numeric) = -1.989944335282062 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) = -1.989942332146308 y[1] (numeric) = -1.989942332146308 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) = -1.989940328811559 y[1] (numeric) = -1.989940328811559 absolute error = 2.220446049250313e-16 relative error = 1.115835493708707e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = -1.989938325277817 y[1] (numeric) = -1.989938325277816 absolute error = 2.220446049250313e-16 relative error = 1.115836617167678e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = -1.98993632154508 y[1] (numeric) = -1.98993632154508 absolute error = 2.220446049250313e-16 relative error = 1.115837740740495e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = -1.98993431761335 y[1] (numeric) = -1.98993431761335 absolute error = 2.220446049250313e-16 relative error = 1.115838864427159e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = -1.989932313482626 y[1] (numeric) = -1.989932313482626 absolute error = 2.220446049250313e-16 relative error = 1.11583998822767e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = -1.989930309152909 y[1] (numeric) = -1.989930309152909 absolute error = 2.220446049250313e-16 relative error = 1.115841112142028e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = -1.9899283046242 y[1] (numeric) = -1.989928304624199 absolute error = 2.220446049250313e-16 relative error = 1.115842236170236e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = -1.989926299896497 y[1] (numeric) = -1.989926299896497 absolute error = 2.220446049250313e-16 relative error = 1.115843360312292e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = -1.989924294969801 y[1] (numeric) = -1.989924294969801 absolute error = 2.220446049250313e-16 relative error = 1.115844484568198e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = -1.989922289844114 y[1] (numeric) = -1.989922289844114 absolute error = 2.220446049250313e-16 relative error = 1.115845608937954e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = -1.989920284519434 y[1] (numeric) = -1.989920284519433 absolute error = 2.220446049250313e-16 relative error = 1.115846733421561e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = -1.989918278995762 y[1] (numeric) = -1.989918278995761 absolute error = 4.440892098500626e-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) = -1.989916273273098 y[1] (numeric) = -1.989916273273098 absolute error = 2.220446049250313e-16 relative error = 1.115848982730329e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = -1.989914267351443 y[1] (numeric) = -1.989914267351442 absolute error = 2.220446049250313e-16 relative error = 1.115850107555491e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = -1.989912261230796 y[1] (numeric) = -1.989912261230795 absolute error = 2.220446049250313e-16 relative error = 1.115851232494506e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = -1.989910254911158 y[1] (numeric) = -1.989910254911157 absolute error = 4.440892098500626e-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) = -1.989908248392528 y[1] (numeric) = -1.989908248392528 absolute error = 4.440892098500626e-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) = -1.989906241674908 y[1] (numeric) = -1.989906241674908 absolute error = 4.440892098500626e-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) = -1.989904234758298 y[1] (numeric) = -1.989904234758297 absolute error = 6.661338147750939e-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) = -1.989902227642697 y[1] (numeric) = -1.989902227642696 absolute error = 6.661338147750939e-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) = -1.989900220328106 y[1] (numeric) = -1.989900220328105 absolute error = 6.661338147750939e-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) = -1.989898212814524 y[1] (numeric) = -1.989898212814524 absolute error = 6.661338147750939e-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) = -1.989896205101953 y[1] (numeric) = -1.989896205101952 absolute error = 6.661338147750939e-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) = -1.989894197190393 y[1] (numeric) = -1.989894197190392 absolute error = 8.881784197001252e-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) = -1.989892189079842 y[1] (numeric) = -1.989892189079842 absolute error = 8.881784197001252e-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) = -1.989890180770303 y[1] (numeric) = -1.989890180770302 absolute error = 6.661338147750939e-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) = -1.989888172261775 y[1] (numeric) = -1.989888172261774 absolute error = 8.881784197001252e-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) = -1.989886163554258 y[1] (numeric) = -1.989886163554257 absolute error = 8.881784197001252e-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) = -1.989884154647752 y[1] (numeric) = -1.989884154647751 absolute error = 8.881784197001252e-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) = -1.989882145542258 y[1] (numeric) = -1.989882145542257 absolute error = 8.881784197001252e-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) = -1.989880136237775 y[1] (numeric) = -1.989880136237774 absolute error = 6.661338147750939e-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) = -1.989878126734305 y[1] (numeric) = -1.989878126734304 absolute error = 8.881784197001252e-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) = -1.989876117031846 y[1] (numeric) = -1.989876117031846 absolute error = 8.881784197001252e-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) = -1.9898741071304 y[1] (numeric) = -1.9898741071304 absolute error = 8.881784197001252e-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) = -1.989872097029967 y[1] (numeric) = -1.989872097029966 absolute error = 8.881784197001252e-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) = -1.989870086730547 y[1] (numeric) = -1.989870086730546 absolute error = 8.881784197001252e-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) = -1.989868076232139 y[1] (numeric) = -1.989868076232138 absolute error = 8.881784197001252e-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) = -1.989866065534745 y[1] (numeric) = -1.989866065534744 absolute error = 8.881784197001252e-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) = -1.989864054638364 y[1] (numeric) = -1.989864054638363 absolute error = 1.110223024625157e-15 relative error = 5.579391325941246e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = -1.989862043542997 y[1] (numeric) = -1.989862043542996 absolute error = 1.110223024625157e-15 relative error = 5.579396964868871e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = -1.989860032248643 y[1] (numeric) = -1.989860032248642 absolute error = 1.110223024625157e-15 relative error = 5.579402604365835e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = -1.989858020755304 y[1] (numeric) = -1.989858020755303 absolute error = 8.881784197001252e-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) = -1.989856009062978 y[1] (numeric) = -1.989856009062977 absolute error = 1.110223024625157e-15 relative error = 5.579413885067793e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = -1.989853997171668 y[1] (numeric) = -1.989853997171666 absolute error = 1.110223024625157e-15 relative error = 5.579419526272791e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = -1.989851985081371 y[1] (numeric) = -1.98985198508137 absolute error = 1.110223024625157e-15 relative error = 5.57942516804714e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = -1.98984997279209 y[1] (numeric) = -1.989849972792089 absolute error = 8.881784197001252e-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) = -1.989847960303823 y[1] (numeric) = -1.989847960303822 absolute error = 8.881784197001252e-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) = -1.989845947616572 y[1] (numeric) = -1.989845947616571 absolute error = 8.881784197001252e-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) = -1.989843934730336 y[1] (numeric) = -1.989843934730335 absolute error = 8.881784197001252e-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) = -1.989841921645116 y[1] (numeric) = -1.989841921645115 absolute error = 8.881784197001252e-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) = -1.989839908360911 y[1] (numeric) = -1.98983990836091 absolute error = 8.881784197001252e-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) = -1.989837894877723 y[1] (numeric) = -1.989837894877722 absolute error = 8.881784197001252e-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) = -1.98983588119555 y[1] (numeric) = -1.989835881195549 absolute error = 8.881784197001252e-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) = -1.989833867314394 y[1] (numeric) = -1.989833867314394 absolute error = 8.881784197001252e-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) = -1.989831853234255 y[1] (numeric) = -1.989831853234254 absolute error = 8.881784197001252e-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) = -1.989829838955133 y[1] (numeric) = -1.989829838955132 absolute error = 8.881784197001252e-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) = -1.989827824477027 y[1] (numeric) = -1.989827824477026 absolute error = 8.881784197001252e-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) = -1.989825809799939 y[1] (numeric) = -1.989825809799938 absolute error = 8.881784197001252e-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) = -1.989823794923868 y[1] (numeric) = -1.989823794923867 absolute error = 1.110223024625157e-15 relative error = 5.579504212671425e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = -1.989821779848815 y[1] (numeric) = -1.989821779848814 absolute error = 1.110223024625157e-15 relative error = 5.579509862986374e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = -1.98981976457478 y[1] (numeric) = -1.989819764574779 absolute error = 1.332267629550188e-15 relative error = 6.695418616644863e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = -1.989817749101763 y[1] (numeric) = -1.989817749101761 absolute error = 1.332267629550188e-15 relative error = 6.695425398389355e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = -1.989815733429763 y[1] (numeric) = -1.989815733429762 absolute error = 1.332267629550188e-15 relative error = 6.69543218081713e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = -1.989813717558783 y[1] (numeric) = -1.989813717558782 absolute error = 1.332267629550188e-15 relative error = 6.69543896392819e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = -1.989811701488821 y[1] (numeric) = -1.989811701488819 absolute error = 1.332267629550188e-15 relative error = 6.69544574772254e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = -1.989809685219878 y[1] (numeric) = -1.989809685219876 absolute error = 1.332267629550188e-15 relative error = 6.695452532200183e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = -1.989807668751953 y[1] (numeric) = -1.989807668751952 absolute error = 1.332267629550188e-15 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 %