##############ECHO OF PROBLEM################# ##############temp/mult_sin_linpostode.ode################# diff ( y , x , 1 ) = sin(x) * (0.2 * x + 0.3); ! /* 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(0.2 * sin(x) - 0.2 * cos(x) * x - 0.3 * cos(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = -0.2984346495596026 y[1] (numeric) = -0.2984346495596026 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) = -0.2984343300757509 y[1] (numeric) = -0.2984343300757508 absolute error = 5.551115123125783e-17 relative error = 1.860079274967044e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = -0.298434010558062 y[1] (numeric) = -0.2984340105580619 absolute error = 5.551115123125783e-17 relative error = 1.860081266456654e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = -0.2984336910065356 y[1] (numeric) = -0.2984336910065354 absolute error = 1.110223024625157e-16 relative error = 3.720166516322861e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = -0.2984333714211712 y[1] (numeric) = -0.2984333714211711 absolute error = 1.110223024625157e-16 relative error = 3.720170500162758e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = -0.2984330518019686 y[1] (numeric) = -0.2984330518019685 absolute error = 1.110223024625157e-16 relative error = 3.720174484433004e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = -0.2984327321489274 y[1] (numeric) = -0.2984327321489272 absolute error = 1.665334536937735e-16 relative error = 5.580267703700411e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = -0.2984324124620472 y[1] (numeric) = -0.298432412462047 absolute error = 1.665334536937735e-16 relative error = 5.580273681396862e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = -0.2984320927413275 y[1] (numeric) = -0.2984320927413274 absolute error = 1.665334536937735e-16 relative error = 5.580279659738873e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = -0.2984317729867682 y[1] (numeric) = -0.298431772986768 absolute error = 1.665334536937735e-16 relative error = 5.58028563872645e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = -0.2984314531983688 y[1] (numeric) = -0.2984314531983686 absolute error = 2.220446049250313e-16 relative error = 7.440388824479476e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = -0.2984311333761289 y[1] (numeric) = -0.2984311333761288 absolute error = 1.665334536937735e-16 relative error = 5.580297598638355e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = -0.2984308135200482 y[1] (numeric) = -0.298430813520048 absolute error = 2.220446049250313e-16 relative error = 7.440404772750271e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = -0.2984304936301263 y[1] (numeric) = -0.2984304936301261 absolute error = 1.665334536937735e-16 relative error = 5.580309561132665e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = -0.2984301737063629 y[1] (numeric) = -0.2984301737063627 absolute error = 2.220446049250313e-16 relative error = 7.440420724464332e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = -0.2984298537487575 y[1] (numeric) = -0.2984298537487572 absolute error = 2.220446049250313e-16 relative error = 7.440428701612624e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = -0.2984295337573098 y[1] (numeric) = -0.2984295337573096 absolute error = 2.220446049250313e-16 relative error = 7.440436679621777e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = -0.2984292137320195 y[1] (numeric) = -0.2984292137320192 absolute error = 2.220446049250313e-16 relative error = 7.440444658491803e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = -0.2984288936728861 y[1] (numeric) = -0.2984288936728859 absolute error = 2.220446049250313e-16 relative error = 7.44045263822272e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = -0.2984285735799093 y[1] (numeric) = -0.2984285735799092 absolute error = 1.665334536937735e-16 relative error = 5.580345464110907e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = -0.2984282534530888 y[1] (numeric) = -0.2984282534530887 absolute error = 1.665334536937735e-16 relative error = 5.58035145020046e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = -0.2984279332924242 y[1] (numeric) = -0.298427933292424 absolute error = 2.220446049250313e-16 relative error = 7.440476582580952e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = -0.2984276130979151 y[1] (numeric) = -0.2984276130979149 absolute error = 2.220446049250313e-16 relative error = 7.440484565755574e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = -0.2984272928695611 y[1] (numeric) = -0.2984272928695609 absolute error = 2.220446049250313e-16 relative error = 7.440492549791157e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = -0.298426972607362 y[1] (numeric) = -0.2984269726073617 absolute error = 2.775557561562891e-16 relative error = 9.300625668359646e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = -0.2984266523113172 y[1] (numeric) = -0.2984266523113169 absolute error = 2.775557561562891e-16 relative error = 9.300635650556586e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = -0.2984263319814264 y[1] (numeric) = -0.2984263319814262 absolute error = 2.775557561562891e-16 relative error = 9.300645633829784e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = -0.2984260116176894 y[1] (numeric) = -0.2984260116176891 absolute error = 2.775557561562891e-16 relative error = 9.300655618179258e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = -0.2984256912201056 y[1] (numeric) = -0.2984256912201054 absolute error = 2.775557561562891e-16 relative error = 9.300665603605027e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = -0.2984253707886749 y[1] (numeric) = -0.2984253707886746 absolute error = 2.775557561562891e-16 relative error = 9.300675590107109e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = -0.2984250503233967 y[1] (numeric) = -0.2984250503233964 absolute error = 2.775557561562891e-16 relative error = 9.300685577685522e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = -0.2984247298242707 y[1] (numeric) = -0.2984247298242704 absolute error = 2.775557561562891e-16 relative error = 9.300695566340283e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = -0.2984244092912965 y[1] (numeric) = -0.2984244092912963 absolute error = 2.220446049250313e-16 relative error = 7.440564444857131e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = -0.2984240887244739 y[1] (numeric) = -0.2984240887244737 absolute error = 2.220446049250313e-16 relative error = 7.440572437503144e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = -0.2984237681238024 y[1] (numeric) = -0.2984237681238022 absolute error = 2.220446049250313e-16 relative error = 7.440580431010279e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = -0.2984234474892816 y[1] (numeric) = -0.2984234474892814 absolute error = 2.220446049250313e-16 relative error = 7.440588425378552e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = -0.2984231268209113 y[1] (numeric) = -0.298423126820911 absolute error = 2.220446049250313e-16 relative error = 7.440596420607978e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = -0.2984228061186909 y[1] (numeric) = -0.2984228061186907 absolute error = 2.220446049250313e-16 relative error = 7.440604416698571e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = -0.2984224853826202 y[1] (numeric) = -0.29842248538262 absolute error = 2.220446049250313e-16 relative error = 7.440612413650347e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = -0.2984221646126988 y[1] (numeric) = -0.2984221646126986 absolute error = 2.220446049250313e-16 relative error = 7.440620411463317e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = -0.2984218438089263 y[1] (numeric) = -0.2984218438089261 absolute error = 2.220446049250313e-16 relative error = 7.440628410137501e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = -0.2984215229713024 y[1] (numeric) = -0.2984215229713022 absolute error = 2.220446049250313e-16 relative error = 7.440636409672908e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = -0.2984212020998267 y[1] (numeric) = -0.2984212020998265 absolute error = 2.220446049250313e-16 relative error = 7.440644410069557e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = -0.2984208811944988 y[1] (numeric) = -0.2984208811944986 absolute error = 2.220446049250313e-16 relative error = 7.440652411327461e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = -0.2984205602553184 y[1] (numeric) = -0.2984205602553181 absolute error = 2.775557561562891e-16 relative error = 9.300825516808291e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = -0.298420239282285 y[1] (numeric) = -0.2984202392822847 absolute error = 2.775557561562891e-16 relative error = 9.300835520533864e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = -0.2984199182753984 y[1] (numeric) = -0.2984199182753981 absolute error = 2.775557561562891e-16 relative error = 9.300845525336058e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = -0.2984195972346582 y[1] (numeric) = -0.2984195972346578 absolute error = 3.33066907387547e-16 relative error = 1.116102663745787e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = -0.2984192761600639 y[1] (numeric) = -0.2984192761600636 absolute error = 3.33066907387547e-16 relative error = 1.116103864580447e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = -0.2984189550516153 y[1] (numeric) = -0.298418955051615 absolute error = 3.33066907387547e-16 relative error = 1.116105065544308e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = -0.2984186339093119 y[1] (numeric) = -0.2984186339093116 absolute error = 3.33066907387547e-16 relative error = 1.116106266637372e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = -0.2984183127331535 y[1] (numeric) = -0.2984183127331532 absolute error = 3.33066907387547e-16 relative error = 1.116107467859643e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = -0.2984179915231396 y[1] (numeric) = -0.2984179915231392 absolute error = 3.33066907387547e-16 relative error = 1.116108669211121e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = -0.2984176702792698 y[1] (numeric) = -0.2984176702792695 absolute error = 2.775557561562891e-16 relative error = 9.300915589098416e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = -0.2984173490015439 y[1] (numeric) = -0.2984173490015435 absolute error = 3.33066907387547e-16 relative error = 1.116111072301711e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = -0.2984170276899614 y[1] (numeric) = -0.298417027689961 absolute error = 3.33066907387547e-16 relative error = 1.116112274040826e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = -0.2984167063445219 y[1] (numeric) = -0.2984167063445216 absolute error = 3.33066907387547e-16 relative error = 1.116113475909158e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = -0.2984163849652252 y[1] (numeric) = -0.2984163849652249 absolute error = 3.33066907387547e-16 relative error = 1.11611467790671e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = -0.2984160635520708 y[1] (numeric) = -0.2984160635520705 absolute error = 3.33066907387547e-16 relative error = 1.116115880033482e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = -0.2984157421050584 y[1] (numeric) = -0.298415742105058 absolute error = 3.885780586188048e-16 relative error = 1.302136596004391e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = -0.2984154206241876 y[1] (numeric) = -0.2984154206241872 absolute error = 3.885780586188048e-16 relative error = 1.302137998787148e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = -0.298415099109458 y[1] (numeric) = -0.2984150991094576 absolute error = 3.885780586188048e-16 relative error = 1.302139401720672e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = -0.2984147775608693 y[1] (numeric) = -0.2984147775608689 absolute error = 3.885780586188048e-16 relative error = 1.302140804804964e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = -0.2984144559784211 y[1] (numeric) = -0.2984144559784208 absolute error = 3.885780586188048e-16 relative error = 1.302142208040027e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = -0.2984141343621131 y[1] (numeric) = -0.2984141343621127 absolute error = 3.33066907387547e-16 relative error = 1.116123095507883e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = -0.2984138127119448 y[1] (numeric) = -0.2984138127119444 absolute error = 3.885780586188048e-16 relative error = 1.302145014962476e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = -0.298413491027916 y[1] (numeric) = -0.2984134910279156 absolute error = 3.885780586188048e-16 relative error = 1.302146418649866e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = -0.2984131693100261 y[1] (numeric) = -0.2984131693100258 absolute error = 3.885780586188048e-16 relative error = 1.302147822488038e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = -0.2984128475582751 y[1] (numeric) = -0.2984128475582746 absolute error = 4.440892098500626e-16 relative error = 1.488170544545135e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = -0.2984125257726623 y[1] (numeric) = -0.2984125257726618 absolute error = 4.440892098500626e-16 relative error = 1.488172149276268e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = -0.2984122039531874 y[1] (numeric) = -0.298412203953187 absolute error = 4.440892098500626e-16 relative error = 1.488173754179732e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = -0.2984118820998501 y[1] (numeric) = -0.2984118820998497 absolute error = 4.440892098500626e-16 relative error = 1.488175359255528e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = -0.2984115602126501 y[1] (numeric) = -0.2984115602126496 absolute error = 4.440892098500626e-16 relative error = 1.488176964503659e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = -0.2984112382915869 y[1] (numeric) = -0.2984112382915864 absolute error = 4.440892098500626e-16 relative error = 1.48817856992413e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = -0.2984109163366602 y[1] (numeric) = -0.2984109163366597 absolute error = 4.440892098500626e-16 relative error = 1.488180175516943e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = -0.2984105943478695 y[1] (numeric) = -0.2984105943478692 absolute error = 3.885780586188048e-16 relative error = 1.302159058621837e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = -0.2984102723252147 y[1] (numeric) = -0.2984102723252143 absolute error = 3.885780586188048e-16 relative error = 1.302160463817154e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = -0.2984099502686953 y[1] (numeric) = -0.2984099502686949 absolute error = 3.885780586188048e-16 relative error = 1.302161869163277e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = -0.2984096281783108 y[1] (numeric) = -0.2984096281783105 absolute error = 3.885780586188048e-16 relative error = 1.302163274660209e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = -0.2984093060540611 y[1] (numeric) = -0.2984093060540607 absolute error = 3.885780586188048e-16 relative error = 1.302164680307954e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = -0.2984089838959456 y[1] (numeric) = -0.2984089838959452 absolute error = 3.885780586188048e-16 relative error = 1.302166086106512e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = -0.2984086617039641 y[1] (numeric) = -0.2984086617039637 absolute error = 3.885780586188048e-16 relative error = 1.302167492055888e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = -0.2984083394781161 y[1] (numeric) = -0.2984083394781157 absolute error = 3.885780586188048e-16 relative error = 1.302168898156083e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = -0.2984080172184013 y[1] (numeric) = -0.2984080172184009 absolute error = 3.885780586188048e-16 relative error = 1.3021703044071e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = -0.2984076949248193 y[1] (numeric) = -0.2984076949248189 absolute error = 3.885780586188048e-16 relative error = 1.302171710808942e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = -0.2984073725973698 y[1] (numeric) = -0.2984073725973694 absolute error = 4.440892098500626e-16 relative error = 1.48819784841327e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = -0.2984070502360524 y[1] (numeric) = -0.298407050236052 absolute error = 4.440892098500626e-16 relative error = 1.488199456074411e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = -0.2984067278408667 y[1] (numeric) = -0.2984067278408663 absolute error = 3.885780586188048e-16 relative error = 1.302175930919441e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = -0.2984064054118124 y[1] (numeric) = -0.298406405411812 absolute error = 3.885780586188048e-16 relative error = 1.302177337924607e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = -0.2984060829488891 y[1] (numeric) = -0.2984060829488887 absolute error = 3.885780586188048e-16 relative error = 1.30217874508061e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = -0.2984057604520964 y[1] (numeric) = -0.298405760452096 absolute error = 3.885780586188048e-16 relative error = 1.302180152387453e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = -0.298405437921434 y[1] (numeric) = -0.2984054379214336 absolute error = 3.885780586188048e-16 relative error = 1.302181559845139e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = -0.2984051153569015 y[1] (numeric) = -0.2984051153569011 absolute error = 3.885780586188048e-16 relative error = 1.30218296745367e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = -0.2984047927584986 y[1] (numeric) = -0.2984047927584981 absolute error = 4.440892098500626e-16 relative error = 1.488210714529199e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = -0.2984044701262248 y[1] (numeric) = -0.2984044701262243 absolute error = 4.440892098500626e-16 relative error = 1.488212323569461e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = -0.2984041474600798 y[1] (numeric) = -0.2984041474600794 absolute error = 3.885780586188048e-16 relative error = 1.30218719118436e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = -0.2984038247600632 y[1] (numeric) = -0.2984038247600628 absolute error = 3.885780586188048e-16 relative error = 1.302188599396297e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = -0.2984035020261748 y[1] (numeric) = -0.2984035020261743 absolute error = 4.440892098500626e-16 relative error = 1.488217151724677e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = -0.298403179258414 y[1] (numeric) = -0.2984031792584135 absolute error = 4.440892098500626e-16 relative error = 1.488218761454569e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = -0.2984028564567806 y[1] (numeric) = -0.2984028564567801 absolute error = 4.440892098500626e-16 relative error = 1.488220371356876e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = -0.2984025336212741 y[1] (numeric) = -0.2984025336212737 absolute error = 4.440892098500626e-16 relative error = 1.488221981431601e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sin(x) * (0.2 * x + 0.3); 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 %