##############ECHO OF PROBLEM################# ##############temp/diffpostode.ode################# diff ( y , x , 2 ) = diff ( y , x , 1 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = -4.0; x_end = 1.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); array_y_init[1 + 1] = exact_soln_yp(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 10; /* 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(1.0 + exp(x)); } double exact_soln_yp (double x) { return(exp(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -4 y[1] (analytic) = 1.018315638888734 y[1] (numeric) = 1.018315638888734 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.99999 y[1] (analytic) = 1.018315822046039 y[1] (numeric) = 1.018315822045123 absolute error = 9.157119507108291e-13 relative error = 8.992416015602565e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.99998 y[1] (analytic) = 1.018316005205175 y[1] (numeric) = 1.018316005201512 absolute error = 3.663069847448241e-12 relative error = 3.597183810059225e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.99997 y[1] (analytic) = 1.018316188366143 y[1] (numeric) = 1.018316188357901 absolute error = 8.241851645607312e-12 relative error = 8.093607604167729e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.99996 y[1] (analytic) = 1.018316371528942 y[1] (numeric) = 1.01831637151429 absolute error = 1.465250143439789e-11 relative error = 1.438894811481624e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.99995 y[1] (analytic) = 1.018316554693574 y[1] (numeric) = 1.018316554670679 absolute error = 2.289457512461013e-11 relative error = 2.2482768269931e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.99994 y[1] (analytic) = 1.018316737860036 y[1] (numeric) = 1.018316737827068 absolute error = 3.296851680545387e-11 relative error = 3.237550320024816e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.99993 y[1] (analytic) = 1.018316921028331 y[1] (numeric) = 1.018316920983457 absolute error = 4.487388238771928e-11 relative error = 4.406671583381342e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999919999999999 y[1] (analytic) = 1.018317104198457 y[1] (numeric) = 1.018317104139846 absolute error = 5.861111596061619e-11 relative error = 5.755684130116863e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999909999999999 y[1] (analytic) = 1.018317287370415 y[1] (numeric) = 1.018317287296235 absolute error = 7.417999547953968e-11 relative error = 7.284566058099e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999899999999999 y[1] (analytic) = 1.018317470544204 y[1] (numeric) = 1.018317470452624 absolute error = 9.158074298909469e-11 relative error = 8.993339075303554e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999889999999999 y[1] (analytic) = 1.018317653719826 y[1] (numeric) = 1.018317653609013 absolute error = 1.108129144000713e-10 relative error = 1.088195947455899e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999879999999999 y[1] (analytic) = 1.018317836897279 y[1] (numeric) = 1.018317836765402 absolute error = 1.318771758462844e-10 relative error = 1.295049257391996e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999869999999999 y[1] (analytic) = 1.018318020076564 y[1] (numeric) = 1.01831801992179 absolute error = 1.547730832385241e-10 relative error = 1.519889466621511e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999859999999999 y[1] (analytic) = 1.01831820325768 y[1] (numeric) = 1.018318203078179 absolute error = 1.795008586213953e-10 relative error = 1.762718745939706e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999849999999999 y[1] (analytic) = 1.018318386440629 y[1] (numeric) = 1.018318386234568 absolute error = 2.060602799502931e-10 relative error = 2.023534905134575e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999839999999999 y[1] (analytic) = 1.018318569625409 y[1] (numeric) = 1.018318569390957 absolute error = 2.344517913144273e-10 relative error = 2.302342295502585e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999829999999999 y[1] (analytic) = 1.018318752812021 y[1] (numeric) = 1.018318752547346 absolute error = 2.646749486245881e-10 relative error = 2.599136546328989e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999819999999999 y[1] (analytic) = 1.018318936000465 y[1] (numeric) = 1.018318935703735 absolute error = 2.967301959699853e-10 relative error = 2.913922008908314e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999809999999999 y[1] (analytic) = 1.018319119190741 y[1] (numeric) = 1.018319118860124 absolute error = 3.306170892614091e-10 relative error = 3.246694312527007e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999799999999999 y[1] (analytic) = 1.018319302382849 y[1] (numeric) = 1.018319302016513 absolute error = 3.663360725880693e-10 relative error = 3.597457808477649e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999789999999999 y[1] (analytic) = 1.018319485576789 y[1] (numeric) = 1.018319485172902 absolute error = 4.038869239053611e-10 relative error = 3.966210306548288e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999779999999999 y[1] (analytic) = 1.018319668772561 y[1] (numeric) = 1.018319668329291 absolute error = 4.432696432132843e-10 relative error = 4.352951797028361e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999769999999998 y[1] (analytic) = 1.018319851970164 y[1] (numeric) = 1.01831985148568 absolute error = 4.84484452556444e-10 relative error = 4.75768445070674e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999759999999998 y[1] (analytic) = 1.0183200351696 y[1] (numeric) = 1.018320034642069 absolute error = 5.275311298902352e-10 relative error = 5.180406077372086e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999749999999998 y[1] (analytic) = 1.018320218370868 y[1] (numeric) = 1.018320217798458 absolute error = 5.724098972592628e-10 relative error = 5.62111884781211e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999739999999998 y[1] (analytic) = 1.018320401573968 y[1] (numeric) = 1.018320400954847 absolute error = 6.191207546635269e-10 relative error = 6.079822752314326e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999729999999998 y[1] (analytic) = 1.018320584778899 y[1] (numeric) = 1.018320584111236 absolute error = 6.676634800584225e-10 relative error = 6.556515600668011e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999719999999998 y[1] (analytic) = 1.018320767985663 y[1] (numeric) = 1.018320767267625 absolute error = 7.180385175331594e-10 relative error = 7.051201744156794e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999709999999998 y[1] (analytic) = 1.018320951194259 y[1] (numeric) = 1.018320950424014 absolute error = 7.702454229985278e-10 relative error = 7.563876812071921e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999699999999998 y[1] (analytic) = 1.018321134404687 y[1] (numeric) = 1.018321133580403 absolute error = 8.242844184991327e-10 relative error = 8.094542975198206e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999689999999998 y[1] (analytic) = 1.018321317616947 y[1] (numeric) = 1.018321316736791 absolute error = 8.801557260795789e-10 relative error = 8.643202404318704e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999679999999998 y[1] (analytic) = 1.018321500831039 y[1] (numeric) = 1.01832149989318 absolute error = 9.378589016506567e-10 relative error = 9.209850728726456e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999669999999998 y[1] (analytic) = 1.018321684046964 y[1] (numeric) = 1.018321683049569 absolute error = 9.973943893015758e-10 relative error = 9.79449229970023e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999659999999998 y[1] (analytic) = 1.01832186726472 y[1] (numeric) = 1.018321866205958 absolute error = 1.058761966987731e-09 relative error = 1.039712492702956e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999649999999998 y[1] (analytic) = 1.018322050484309 y[1] (numeric) = 1.018322049362347 absolute error = 1.121961856753728e-09 relative error = 1.101775078149519e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999639999999998 y[1] (analytic) = 1.01832223370573 y[1] (numeric) = 1.018322232518736 absolute error = 1.186993836554961e-09 relative error = 1.165636767288706e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999629999999998 y[1] (analytic) = 1.018322416928983 y[1] (numeric) = 1.018322415675125 absolute error = 1.253858128436036e-09 relative error = 1.231297777198475e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999619999999998 y[1] (analytic) = 1.018322600154069 y[1] (numeric) = 1.018322598831514 absolute error = 1.322554510352347e-09 relative error = 1.298757888857862e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999609999999997 y[1] (analytic) = 1.018322783380986 y[1] (numeric) = 1.018322781987903 absolute error = 1.3930832043485e-09 relative error = 1.368017319344709e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999599999999997 y[1] (analytic) = 1.018322966609736 y[1] (numeric) = 1.018322965144292 absolute error = 1.465444210424494e-09 relative error = 1.439076067687387e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999589999999997 y[1] (analytic) = 1.018323149840318 y[1] (numeric) = 1.018323148300681 absolute error = 1.539637528580329e-09 relative error = 1.511934132914249e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999579999999997 y[1] (analytic) = 1.018323333072733 y[1] (numeric) = 1.01832333145707 absolute error = 1.615663158816005e-09 relative error = 1.586591514053629e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999569999999997 y[1] (analytic) = 1.01832351630698 y[1] (numeric) = 1.018323514613459 absolute error = 1.693521101131523e-09 relative error = 1.663048210133842e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999559999999997 y[1] (analytic) = 1.018323699543059 y[1] (numeric) = 1.018323697769848 absolute error = 1.773211355526882e-09 relative error = 1.741304220183185e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999549999999997 y[1] (analytic) = 1.018323882780971 y[1] (numeric) = 1.018323880926237 absolute error = 1.854734144046688e-09 relative error = 1.821359761279034e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999539999999997 y[1] (analytic) = 1.018324066020715 y[1] (numeric) = 1.018324064082626 absolute error = 1.938089244646335e-09 relative error = 1.903214614400471e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999529999999997 y[1] (analytic) = 1.018324249262291 y[1] (numeric) = 1.018324247239015 absolute error = 2.023276657325823e-09 relative error = 1.986868778575737e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999519999999997 y[1] (analytic) = 1.0183244325057 y[1] (numeric) = 1.018324430395404 absolute error = 2.110296604129758e-09 relative error = 2.072322470882034e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999509999999997 y[1] (analytic) = 1.018324615750941 y[1] (numeric) = 1.018324613551792 absolute error = 2.199148863013534e-09 relative error = 2.159575472298506e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999499999999997 y[1] (analytic) = 1.018324798998015 y[1] (numeric) = 1.018324796708181 absolute error = 2.289833656021756e-09 relative error = 2.248627999902239e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999489999999997 y[1] (analytic) = 1.018324982246921 y[1] (numeric) = 1.01832497986457 absolute error = 2.382350983154424e-09 relative error = 2.33948005272128e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999479999999997 y[1] (analytic) = 1.01832516549766 y[1] (numeric) = 1.018325163020959 absolute error = 2.476700622366934e-09 relative error = 2.432131411734836e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999469999999997 y[1] (analytic) = 1.018325348750231 y[1] (numeric) = 1.018325346177348 absolute error = 2.572883017748495e-09 relative error = 2.526582512068603e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999459999999996 y[1] (analytic) = 1.018325532004635 y[1] (numeric) = 1.018325529333737 absolute error = 2.670897947254502e-09 relative error = 2.622833134701709e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999449999999996 y[1] (analytic) = 1.018325715260871 y[1] (numeric) = 1.018325712490126 absolute error = 2.770745188840351e-09 relative error = 2.720883060613421e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999439999999996 y[1] (analytic) = 1.01832589851894 y[1] (numeric) = 1.018325895646515 absolute error = 2.872425186595251e-09 relative error = 2.820732724929146e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999429999999996 y[1] (analytic) = 1.018326081778842 y[1] (numeric) = 1.018326078802904 absolute error = 2.975937718474597e-09 relative error = 2.922381908628072e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999419999999996 y[1] (analytic) = 1.018326265040576 y[1] (numeric) = 1.018326261959293 absolute error = 3.08128278447839e-09 relative error = 3.025830610738115e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999409999999996 y[1] (analytic) = 1.018326448304143 y[1] (numeric) = 1.018326445115682 absolute error = 3.188460606651233e-09 relative error = 3.131079048335725e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999399999999996 y[1] (analytic) = 1.018326631569542 y[1] (numeric) = 1.018326628272071 absolute error = 3.297471184993128e-09 relative error = 3.23812722044866e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999389999999996 y[1] (analytic) = 1.018326814836774 y[1] (numeric) = 1.01832681142846 absolute error = 3.408314075414864e-09 relative error = 3.346974690007724e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999379999999996 y[1] (analytic) = 1.018326998105839 y[1] (numeric) = 1.018326994584849 absolute error = 3.520989944050257e-09 relative error = 3.457622110186169e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999369999999996 y[1] (analytic) = 1.018327181376736 y[1] (numeric) = 1.018327177741238 absolute error = 3.635498346810095e-09 relative error = 3.570069043914798e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999359999999996 y[1] (analytic) = 1.018327364649466 y[1] (numeric) = 1.018327360897627 absolute error = 3.751839505738985e-09 relative error = 3.684315708269769e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999349999999996 y[1] (analytic) = 1.018327547924029 y[1] (numeric) = 1.018327544054016 absolute error = 3.870013420836926e-09 relative error = 3.800362102278749e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999339999999996 y[1] (analytic) = 1.018327731200425 y[1] (numeric) = 1.018327727210405 absolute error = 3.990020092103919e-09 relative error = 3.918208224969387e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999329999999996 y[1] (analytic) = 1.018327914478653 y[1] (numeric) = 1.018327910366793 absolute error = 4.111859741584567e-09 relative error = 4.037854293417547e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999319999999996 y[1] (analytic) = 1.018328097758714 y[1] (numeric) = 1.018328093523182 absolute error = 4.235531925189662e-09 relative error = 4.159299870554334e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999309999999995 y[1] (analytic) = 1.018328281040608 y[1] (numeric) = 1.018328276679571 absolute error = 4.361036864963808e-09 relative error = 4.282545173455613e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999299999999995 y[1] (analytic) = 1.018328464324335 y[1] (numeric) = 1.01832845983596 absolute error = 4.48837478295161e-09 relative error = 4.407590419197075e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999289999999995 y[1] (analytic) = 1.018328647609895 y[1] (numeric) = 1.018328642992349 absolute error = 4.617545457108463e-09 relative error = 4.53443538875808e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999279999999995 y[1] (analytic) = 1.018328830897287 y[1] (numeric) = 1.018328826148738 absolute error = 4.748549109478972e-09 relative error = 4.663080299214203e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999269999999995 y[1] (analytic) = 1.018329014186513 y[1] (numeric) = 1.018329009305127 absolute error = 4.881385518018533e-09 relative error = 4.793524931544845e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999259999999995 y[1] (analytic) = 1.018329197477571 y[1] (numeric) = 1.018329192461516 absolute error = 5.01605490477175e-09 relative error = 4.925769502825465e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999249999999995 y[1] (analytic) = 1.018329380770462 y[1] (numeric) = 1.018329375617905 absolute error = 5.152557269738622e-09 relative error = 5.059814012083425e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999239999999995 y[1] (analytic) = 1.018329564065187 y[1] (numeric) = 1.018329558774294 absolute error = 5.290892612919151e-09 relative error = 5.195658458346068e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999229999999995 y[1] (analytic) = 1.018329747361744 y[1] (numeric) = 1.018329741930683 absolute error = 5.431060712268732e-09 relative error = 5.333302622592879e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999219999999995 y[1] (analytic) = 1.018329930660134 y[1] (numeric) = 1.018329925087072 absolute error = 5.573061789831968e-09 relative error = 5.472746721899083e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999209999999995 y[1] (analytic) = 1.018330113960357 y[1] (numeric) = 1.018330108243461 absolute error = 5.716896067653465e-09 relative error = 5.613990973339733e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999199999999995 y[1] (analytic) = 1.018330297262413 y[1] (numeric) = 1.01833029139985 absolute error = 5.862563101644014e-09 relative error = 5.757034939846529e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999189999999995 y[1] (analytic) = 1.018330480566302 y[1] (numeric) = 1.018330474556239 absolute error = 6.010063335892823e-09 relative error = 5.901879056542212e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999179999999995 y[1] (analytic) = 1.018330663872024 y[1] (numeric) = 1.018330657712628 absolute error = 6.159396548355289e-09 relative error = 6.048523104406246e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999169999999995 y[1] (analytic) = 1.01833084717958 y[1] (numeric) = 1.018330840869017 absolute error = 6.310562961076016e-09 relative error = 6.196967300513452e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999159999999994 y[1] (analytic) = 1.018331030488968 y[1] (numeric) = 1.018331024025406 absolute error = 6.463562352010399e-09 relative error = 6.347211425843339e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999149999999994 y[1] (analytic) = 1.018331213800189 y[1] (numeric) = 1.018331207181794 absolute error = 6.618394943203043e-09 relative error = 6.499255697470611e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999139999999994 y[1] (analytic) = 1.018331397113244 y[1] (numeric) = 1.018331390338183 absolute error = 6.775060512609343e-09 relative error = 6.653099896374815e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999129999999994 y[1] (analytic) = 1.018331580428132 y[1] (numeric) = 1.018331573494572 absolute error = 6.933559282273905e-09 relative error = 6.808744239630539e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999119999999994 y[1] (analytic) = 1.018331763744853 y[1] (numeric) = 1.018331756650961 absolute error = 7.093891252196727e-09 relative error = 6.966188726264786e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999109999999994 y[1] (analytic) = 1.018331947063406 y[1] (numeric) = 1.01833193980735 absolute error = 7.256056200333205e-09 relative error = 7.125433137257165e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999099999999994 y[1] (analytic) = 1.018332130383794 y[1] (numeric) = 1.018332122963739 absolute error = 7.42005457077255e-09 relative error = 7.286477907729421e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999089999999994 y[1] (analytic) = 1.018332313706014 y[1] (numeric) = 1.018332306120128 absolute error = 7.585886141470155e-09 relative error = 7.449322818661089e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999079999999994 y[1] (analytic) = 1.018332497030068 y[1] (numeric) = 1.018332489276517 absolute error = 7.753550690381417e-09 relative error = 7.613967651031843e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999069999999994 y[1] (analytic) = 1.018332680355955 y[1] (numeric) = 1.018332672432906 absolute error = 7.923048661595544e-09 relative error = 7.780412839963134e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999059999999994 y[1] (analytic) = 1.018332863683675 y[1] (numeric) = 1.018332855589295 absolute error = 8.094380055112538e-09 relative error = 7.948658384481734e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999049999999994 y[1] (analytic) = 1.018333047013229 y[1] (numeric) = 1.018333038745684 absolute error = 8.267544648887792e-09 relative error = 8.118704065567258e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999039999999994 y[1] (analytic) = 1.018333230344615 y[1] (numeric) = 1.018333221902073 absolute error = 8.442542442921308e-09 relative error = 8.290549882246558e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999029999999994 y[1] (analytic) = 1.018333413677835 y[1] (numeric) = 1.018333405058462 absolute error = 8.61937365925769e-09 relative error = 8.464196051593524e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999019999999994 y[1] (analytic) = 1.018333597012889 y[1] (numeric) = 1.018333588214851 absolute error = 8.798038075852332e-09 relative error = 8.639642354587833e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.999009999999994 y[1] (analytic) = 1.018333780349776 y[1] (numeric) = 1.01833377137124 absolute error = 8.978535914749841e-09 relative error = 8.816889008303258e-07 % Correct digits = 8 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = -3.998999999999993 y[1] (analytic) = 1.018333963688496 y[1] (numeric) = 1.018333954527629 absolute error = 9.160867175950216e-09 relative error = 8.995936011766458e-07 % Correct digits = 8 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 2 ) = diff ( y , x , 1 ) ; Iterations = 100 Total Elapsed Time = 13 Seconds Elapsed Time(since restart) = 12 Seconds Expected Time Remaining = 17 Hours 52 Minutes 23 Seconds Optimized Time Remaining = 16 Hours 29 Minutes 53 Seconds Time to Timeout = 47 Seconds Percent Done = 0.0202 %