##############ECHO OF PROBLEM################# ##############temp/expt_sin_cpostode.ode################# diff ( y , x , 1 ) = expt(sin(0.2 * x + 0.3) , 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(-2.5000000000000000000000000000000*sin(.20000000000000000000000000000000*x+.30000000000000000000000000000000)*cos(.20000000000000000000000000000000*x+.30000000000000000000000000000000)+.50000000000000000000000000000000*x+.75000000000000000000000000000000); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.05350569829700989 y[1] (numeric) = 0.05350569829700989 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) = 0.05350668782419241 y[1] (numeric) = 0.05350668782419243 absolute error = 2.081668171172169e-17 relative error = 3.890482210395701e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.05350767736331893 y[1] (numeric) = 0.05350767736331895 absolute error = 2.081668171172169e-17 relative error = 3.890410262134108e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.05350866691438948 y[1] (numeric) = 0.0535086669143895 absolute error = 2.775557561562891e-17 relative error = 5.187117754220284e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.05350965647740422 y[1] (numeric) = 0.05350965647740416 absolute error = 6.245004513516506e-17 relative error = 1.167079911296686e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.05351064605236308 y[1] (numeric) = 0.05351064605236298 absolute error = 9.71445146547012e-17 relative error = 1.815424066449132e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.05351163563926613 y[1] (numeric) = 0.05351163563926603 absolute error = 1.040834085586084e-16 relative error = 1.945061243507074e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.05351262523811352 y[1] (numeric) = 0.05351262523811338 absolute error = 1.387778780781446e-16 relative error = 2.593367031810322e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.05351361484890517 y[1] (numeric) = 0.05351361484890508 absolute error = 9.020562075079397e-17 relative error = 1.685657397757339e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.05351460447164124 y[1] (numeric) = 0.05351460447164121 absolute error = 3.469446951953614e-17 relative error = 6.483177790825612e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.05351559410632189 y[1] (numeric) = 0.05351559410632182 absolute error = 6.938893903907228e-17 relative error = 1.296611580191263e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.05351658375294705 y[1] (numeric) = 0.05351658375294698 absolute error = 6.938893903907228e-17 relative error = 1.296587602814822e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.05351757341151677 y[1] (numeric) = 0.05351757341151676 absolute error = 1.387778780781446e-17 relative error = 2.593127252071562e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.05351856308203131 y[1] (numeric) = 0.05351856308203121 absolute error = 9.71445146547012e-17 relative error = 1.815155509795762e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.0535195527644905 y[1] (numeric) = 0.05351955276449041 absolute error = 8.326672684688674e-17 relative error = 1.555818809123777e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.05352054245889449 y[1] (numeric) = 0.05352054245889442 absolute error = 6.938893903907228e-17 relative error = 1.296491699282855e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.05352153216524334 y[1] (numeric) = 0.05352153216524329 absolute error = 4.163336342344337e-17 relative error = 7.778806349359315e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.05352252188353718 y[1] (numeric) = 0.05352252188353711 absolute error = 7.632783294297951e-17 relative error = 1.426088126210976e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.05352351161377597 y[1] (numeric) = 0.05352351161377592 absolute error = 4.85722573273506e-17 relative error = 9.074938445340905e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.05352450135595985 y[1] (numeric) = 0.0535245013559598 absolute error = 5.551115123125783e-17 relative error = 1.037116644246453e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.05352549111008877 y[1] (numeric) = 0.0535254911100888 absolute error = 3.469446951953614e-17 relative error = 6.481859166537706e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.05352648087616298 y[1] (numeric) = 0.053526480876163 absolute error = 2.081668171172169e-17 relative error = 3.889043585712732e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.05352747065418242 y[1] (numeric) = 0.05352747065418245 absolute error = 3.469446951953614e-17 relative error = 6.481619455490796e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.05352846044414724 y[1] (numeric) = 0.05352846044414723 absolute error = 1.387778780781446e-17 relative error = 2.592599841778532e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.05352945024605739 y[1] (numeric) = 0.05352945024605738 absolute error = 6.938893903907228e-18 relative error = 1.296275951277549e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.0535304400599131 y[1] (numeric) = 0.05353044005991299 absolute error = 1.110223024625157e-16 relative error = 2.074003171620777e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.05353142988571415 y[1] (numeric) = 0.0535314298857141 absolute error = 4.163336342344337e-17 relative error = 7.777368083073381e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.05353241972346086 y[1] (numeric) = 0.0535324197234608 absolute error = 5.551115123125783e-17 relative error = 1.036963236820206e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.05353340957315319 y[1] (numeric) = 0.05353340957315314 absolute error = 4.85722573273506e-17 relative error = 9.073260551614371e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.05353439943479129 y[1] (numeric) = 0.05353439943479119 absolute error = 1.040834085586084e-16 relative error = 1.944234168263892e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.05353538930837509 y[1] (numeric) = 0.05353538930837499 absolute error = 9.71445146547012e-17 relative error = 1.814585004605615e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.05353637919390464 y[1] (numeric) = 0.05353637919390464 absolute error = 6.938893903907228e-18 relative error = 1.296108180714853e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.05353736909138021 y[1] (numeric) = 0.05353736909138018 absolute error = 2.775557561562891e-17 relative error = 5.184336863519448e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.05353835900080173 y[1] (numeric) = 0.05353835900080169 absolute error = 4.163336342344337e-17 relative error = 7.776361509851267e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.05353934892216924 y[1] (numeric) = 0.05353934892216922 absolute error = 2.081668171172169e-17 relative error = 3.888108864002649e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.0535403388554829 y[1] (numeric) = 0.05354033885548284 absolute error = 6.245004513516506e-17 relative error = 1.16641109246117e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.05354132880074265 y[1] (numeric) = 0.05354132880074262 absolute error = 3.469446951953614e-17 relative error = 6.479941812548908e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.05354231875794864 y[1] (numeric) = 0.05354231875794861 absolute error = 2.775557561562891e-17 relative error = 5.183857602638558e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.05354330872710092 y[1] (numeric) = 0.05354330872710089 absolute error = 2.775557561562891e-17 relative error = 5.183761757625644e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.05354429870819953 y[1] (numeric) = 0.05354429870819952 absolute error = 1.387778780781446e-17 relative error = 2.591832957500156e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.05354528870124452 y[1] (numeric) = 0.05354528870124455 absolute error = 3.469446951953614e-17 relative error = 6.479462593453112e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.05354627870623604 y[1] (numeric) = 0.05354627870623607 absolute error = 2.775557561562891e-17 relative error = 5.183474236912094e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.05354726872317413 y[1] (numeric) = 0.05354726872317412 absolute error = 1.387778780781446e-17 relative error = 2.591689200724526e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.05354825875205875 y[1] (numeric) = 0.05354825875205878 absolute error = 2.775557561562891e-17 relative error = 5.1832825683733e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.05354924879289003 y[1] (numeric) = 0.0535492487928901 absolute error = 6.938893903907228e-17 relative error = 1.295796684421189e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.05355023884566823 y[1] (numeric) = 0.05355023884566815 absolute error = 7.632783294297951e-17 relative error = 1.425350000080416e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.05355122891039309 y[1] (numeric) = 0.053551228910393 absolute error = 9.020562075079397e-17 relative error = 1.684473402127418e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.05355221898706477 y[1] (numeric) = 0.05355221898706471 absolute error = 5.551115123125783e-17 relative error = 1.036579851988322e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.05355320907568339 y[1] (numeric) = 0.05355320907568335 absolute error = 4.163336342344337e-17 relative error = 7.774205158201733e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.05355419917624903 y[1] (numeric) = 0.05355419917624898 absolute error = 5.551115123125783e-17 relative error = 1.036541524009506e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.05355518928876172 y[1] (numeric) = 0.05355518928876166 absolute error = 6.245004513516506e-17 relative error = 1.166087655828151e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.0535561794132215 y[1] (numeric) = 0.05355617941322145 absolute error = 4.85722573273506e-17 relative error = 9.069402981975873e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.05355716954962843 y[1] (numeric) = 0.05355716954962843 absolute error = 6.938893903907228e-18 relative error = 1.295605044526736e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.05355815969798265 y[1] (numeric) = 0.05355815969798265 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.05355914985828422 y[1] (numeric) = 0.05355914985828418 absolute error = 4.163336342344337e-17 relative error = 7.773342843119038e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.05356014003053306 y[1] (numeric) = 0.05356014003053308 absolute error = 2.081668171172169e-17 relative error = 3.886599568233897e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.05356113021472945 y[1] (numeric) = 0.05356113021472943 absolute error = 2.081668171172169e-17 relative error = 3.886527716698003e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.05356212041087331 y[1] (numeric) = 0.05356212041087327 absolute error = 4.163336342344337e-17 relative error = 7.772911733903582e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.0535631106189647 y[1] (numeric) = 0.05356311061896468 absolute error = 2.081668171172169e-17 relative error = 3.886384018995206e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.05356410083900366 y[1] (numeric) = 0.05356410083900372 absolute error = 6.245004513516506e-17 relative error = 1.165893651848459e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.05356509107099045 y[1] (numeric) = 0.05356509107099046 absolute error = 6.938893903907228e-18 relative error = 1.295413442816895e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.05356608131492491 y[1] (numeric) = 0.05356608131492495 absolute error = 4.163336342344337e-17 relative error = 7.772336971725282e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.05356707157080728 y[1] (numeric) = 0.05356707157080726 absolute error = 2.081668171172169e-17 relative error = 3.88609664506399e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.05356806183863742 y[1] (numeric) = 0.05356806183863747 absolute error = 4.85722573273506e-17 relative error = 9.067391214127621e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.05356905211841556 y[1] (numeric) = 0.05356905211841562 absolute error = 5.551115123125783e-17 relative error = 1.036254125022582e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.05357004241014186 y[1] (numeric) = 0.05357004241014179 absolute error = 6.938893903907228e-17 relative error = 1.295293711134632e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.05357103271381606 y[1] (numeric) = 0.05357103271381603 absolute error = 2.775557561562891e-17 relative error = 5.181079066349733e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.05357202302943852 y[1] (numeric) = 0.05357202302943842 absolute error = 9.71445146547012e-17 relative error = 1.813344151691248e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.05357301335700907 y[1] (numeric) = 0.05357301335700902 absolute error = 4.85722573273506e-17 relative error = 9.066553154974955e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.05357400369652798 y[1] (numeric) = 0.05357400369652789 absolute error = 8.326672684688674e-17 relative error = 1.554237523828802e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.05357499404799517 y[1] (numeric) = 0.0535749940479951 absolute error = 6.938893903907228e-17 relative error = 1.295173994362187e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.0535759844114107 y[1] (numeric) = 0.05357598441141071 absolute error = 1.387778780781446e-17 relative error = 2.590300105593345e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.05357697478677482 y[1] (numeric) = 0.05357697478677478 absolute error = 3.469446951953614e-17 relative error = 6.475630559137183e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.05357796517408737 y[1] (numeric) = 0.05357796517408738 absolute error = 1.387778780781446e-17 relative error = 2.590204342908931e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.05357895557334861 y[1] (numeric) = 0.05357895557334857 absolute error = 3.469446951953614e-17 relative error = 6.475391158388679e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.05357994598455847 y[1] (numeric) = 0.05357994598455842 absolute error = 4.163336342344337e-17 relative error = 7.770325754983393e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.053580936407717 y[1] (numeric) = 0.05358093640771699 absolute error = 6.938893903907228e-18 relative error = 1.295030353912936e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.05358192684282436 y[1] (numeric) = 0.05358192684282435 absolute error = 1.387778780781446e-17 relative error = 2.590012831849655e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.05358291728988059 y[1] (numeric) = 0.05358291728988055 absolute error = 3.469446951953614e-17 relative error = 6.474912392664439e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.05358390774888563 y[1] (numeric) = 0.05358390774888567 absolute error = 4.163336342344337e-17 relative error = 7.769751250422606e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.05358489821983974 y[1] (numeric) = 0.05358489821983976 absolute error = 2.775557561562891e-17 relative error = 5.179738422149778e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.05358588870274285 y[1] (numeric) = 0.0535858887027429 absolute error = 4.85722573273506e-17 relative error = 9.064374689537318e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.05358687919759512 y[1] (numeric) = 0.05358687919759514 absolute error = 2.081668171172169e-17 relative error = 3.884660204779363e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.0535878697043965 y[1] (numeric) = 0.05358786970439655 absolute error = 5.551115123125783e-17 relative error = 1.035890240412067e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.05358886022314712 y[1] (numeric) = 0.0535888602231472 absolute error = 7.632783294297951e-17 relative error = 1.424322753369749e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.05358985075384724 y[1] (numeric) = 0.05358985075384714 absolute error = 1.040834085586084e-16 relative error = 1.94222240022074e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.05359084129649652 y[1] (numeric) = 0.05359084129649645 absolute error = 6.938893903907228e-17 relative error = 1.294791000857241e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.05359183185109528 y[1] (numeric) = 0.05359183185109518 absolute error = 9.71445146547012e-17 relative error = 1.812673896361985e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.05359282241764348 y[1] (numeric) = 0.0535928224176434 absolute error = 7.632783294297951e-17 relative error = 1.424217451138594e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.05359381299614127 y[1] (numeric) = 0.05359381299614118 absolute error = 9.020562075079397e-17 relative error = 1.683134968532445e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.05359480358658859 y[1] (numeric) = 0.05359480358658858 absolute error = 6.938893903907228e-18 relative error = 1.294695276324065e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.05359579418898569 y[1] (numeric) = 0.05359579418898566 absolute error = 2.775557561562891e-17 relative error = 5.178685386722542e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.05359678480333252 y[1] (numeric) = 0.05359678480333249 absolute error = 2.775557561562891e-17 relative error = 5.178589670532464e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.05359777542962912 y[1] (numeric) = 0.05359777542962913 absolute error = 6.938893903907228e-18 relative error = 1.294623489181488e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.05359876606787566 y[1] (numeric) = 0.05359876606787565 absolute error = 6.938893903907228e-18 relative error = 1.294599561325731e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.05359975671807215 y[1] (numeric) = 0.05359975671807211 absolute error = 4.163336342344337e-17 relative error = 7.767453804394958e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.05360074738021856 y[1] (numeric) = 0.05360074738021857 absolute error = 6.938893903907228e-18 relative error = 1.294551707401759e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.05360173805431503 y[1] (numeric) = 0.0536017380543151 absolute error = 6.245004513516506e-17 relative error = 1.165075003200157e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.05360272874036172 y[1] (numeric) = 0.05360272874036175 absolute error = 3.469446951953614e-17 relative error = 6.472519279305261e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.05360371943835856 y[1] (numeric) = 0.05360371943835861 absolute error = 4.85722573273506e-17 relative error = 9.061359516890637e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.05360471014830571 y[1] (numeric) = 0.05360471014830572 absolute error = 1.387778780781446e-17 relative error = 2.588912013406922e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = expt(sin(0.2 * x + 0.3) , 2.0); Iterations = 100 Total Elapsed Time = 28 Seconds Elapsed Time(since restart) = 27 Seconds Expected Time Remaining = 1 Days 13 Hours 43 Minutes 33 Seconds Optimized Time Remaining = 1 Days 5 Hours 38 Minutes 30 Seconds Time to Timeout = 32 Seconds Percent Done = 0.02061 %