##############ECHO OF PROBLEM################# ##############temp/lin_coshpostode.ode################# diff ( y , x , 1 ) = cosh (2.0 * x + 3.0) ; ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.1; x_end = 2.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; // 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(sinh(2.0*x+3.0)/2); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 6.122941998282747 y[1] (numeric) = 6.122941998282747 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) = 6.123064865969347 y[1] (numeric) = 6.123064865969349 absolute error = 1.77635683940025e-15 relative error = 2.901091003090385e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 6.123187736105176 y[1] (numeric) = 6.123187736105177 absolute error = 8.881784197001252e-16 relative error = 1.450516394365977e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 6.12331060869028 y[1] (numeric) = 6.12331060869028 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) = 6.123433483724705 y[1] (numeric) = 6.123433483724707 absolute error = 1.77635683940025e-15 relative error = 2.900916363542737e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 6.123556361208506 y[1] (numeric) = 6.123556361208507 absolute error = 8.881784197001252e-16 relative error = 1.450429076355949e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 6.123679241141731 y[1] (numeric) = 6.123679241141731 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 6.123802123524423 y[1] (numeric) = 6.123802123524426 absolute error = 2.664535259100376e-15 relative error = 4.351112601866468e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 6.12392500835664 y[1] (numeric) = 6.123925008356641 absolute error = 1.77635683940025e-15 relative error = 2.900683527274181e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 6.124047895638427 y[1] (numeric) = 6.124047895638427 absolute error = 8.881784197001252e-16 relative error = 1.450312660573229e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 6.12417078536983 y[1] (numeric) = 6.124170785369833 absolute error = 2.664535259100376e-15 relative error = 4.350850674291684e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 6.124293677550904 y[1] (numeric) = 6.124293677550906 absolute error = 1.77635683940025e-15 relative error = 2.900508912418147e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 6.124416572181695 y[1] (numeric) = 6.124416572181697 absolute error = 1.77635683940025e-15 relative error = 2.900450709817508e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 6.124539469262253 y[1] (numeric) = 6.124539469262254 absolute error = 8.881784197001252e-16 relative error = 1.450196254196257e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 6.124662368792625 y[1] (numeric) = 6.124662368792627 absolute error = 2.664535259100376e-15 relative error = 4.350501462214715e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 6.124785270772864 y[1] (numeric) = 6.124785270772866 absolute error = 1.77635683940025e-15 relative error = 2.90027610906937e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 6.124908175203017 y[1] (numeric) = 6.124908175203018 absolute error = 8.881784197001252e-16 relative error = 1.450108955585584e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 6.12503108208313 y[1] (numeric) = 6.125031082083133 absolute error = 2.664535259100376e-15 relative error = 4.350239571672776e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 6.125153991413259 y[1] (numeric) = 6.125153991413261 absolute error = 1.77635683940025e-15 relative error = 2.90010151890139e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 6.125276903193449 y[1] (numeric) = 6.12527690319345 absolute error = 8.881784197001252e-16 relative error = 1.450021662264882e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 6.125399817423748 y[1] (numeric) = 6.125399817423751 absolute error = 2.664535259100376e-15 relative error = 4.349977697000421e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 6.125522734104209 y[1] (numeric) = 6.125522734104211 absolute error = 2.664535259100376e-15 relative error = 4.349890408969374e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 6.125645653234879 y[1] (numeric) = 6.125645653234881 absolute error = 1.77635683940025e-15 relative error = 2.899868748467646e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 6.125768574815805 y[1] (numeric) = 6.125768574815808 absolute error = 3.552713678800501e-15 relative error = 5.799621117595561e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 6.12589149884704 y[1] (numeric) = 6.125891498847043 absolute error = 2.664535259100376e-15 relative error = 4.349628555454941e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 6.126014425328632 y[1] (numeric) = 6.126014425328634 absolute error = 1.77635683940025e-15 relative error = 2.899694182984163e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 6.126137354260631 y[1] (numeric) = 6.126137354260631 absolute error = 8.881784197001252e-16 relative error = 1.449817998420181e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 6.126260285643081 y[1] (numeric) = 6.126260285643084 absolute error = 2.664535259100376e-15 relative error = 4.349366717807806e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 6.126383219476038 y[1] (numeric) = 6.12638321947604 absolute error = 1.77635683940025e-15 relative error = 2.89951962807866e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 6.126506155759549 y[1] (numeric) = 6.126506155759549 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) = 6.126629094493659 y[1] (numeric) = 6.126629094493661 absolute error = 1.77635683940025e-15 relative error = 2.899403264017991e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 6.126752035678424 y[1] (numeric) = 6.126752035678425 absolute error = 1.77635683940025e-15 relative error = 2.899345083750483e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 6.126874979313889 y[1] (numeric) = 6.12687497931389 absolute error = 8.881784197001252e-16 relative error = 1.449643452329081e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 6.126997925400102 y[1] (numeric) = 6.126997925400105 absolute error = 3.552713678800501e-15 relative error = 5.798457453482006e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 6.127120873937116 y[1] (numeric) = 6.127120873937119 absolute error = 2.664535259100376e-15 relative error = 4.348755824998471e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 6.127243824924979 y[1] (numeric) = 6.127243824924981 absolute error = 1.77635683940025e-15 relative error = 2.899112374432072e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 6.127366778363737 y[1] (numeric) = 6.12736677836374 absolute error = 2.664535259100376e-15 relative error = 4.348581300060379e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 6.127489734253444 y[1] (numeric) = 6.127489734253446 absolute error = 1.77635683940025e-15 relative error = 2.898996026823498e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 6.127612692594147 y[1] (numeric) = 6.127612692594148 absolute error = 8.881784197001252e-16 relative error = 1.449468927390892e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 6.127735653385892 y[1] (numeric) = 6.127735653385896 absolute error = 3.552713678800501e-15 relative error = 5.797759367830174e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 6.127858616628735 y[1] (numeric) = 6.127858616628737 absolute error = 1.77635683940025e-15 relative error = 2.898821514223381e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 6.127981582322721 y[1] (numeric) = 6.127981582322723 absolute error = 1.77635683940025e-15 relative error = 2.898763345706644e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 6.128104550467897 y[1] (numeric) = 6.1281045504679 absolute error = 3.552713678800501e-15 relative error = 5.797410356729704e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 6.128227521064317 y[1] (numeric) = 6.12822752106432 absolute error = 2.664535259100376e-15 relative error = 4.347970518296967e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 6.128350494112029 y[1] (numeric) = 6.12835049411203 absolute error = 8.881784197001252e-16 relative error = 1.449294423603e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 6.12847346961108 y[1] (numeric) = 6.12847346961108 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 6.128596447561518 y[1] (numeric) = 6.12859644756152 absolute error = 1.77635683940025e-15 relative error = 2.898472520746635e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 6.128719427963397 y[1] (numeric) = 6.128719427963399 absolute error = 1.77635683940025e-15 relative error = 2.898414359279198e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 6.128842410816765 y[1] (numeric) = 6.128842410816766 absolute error = 8.881784197001252e-16 relative error = 1.44917809949328e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 6.128965396121666 y[1] (numeric) = 6.12896539612167 absolute error = 3.552713678800501e-15 relative error = 5.796596079737396e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 6.129088383878157 y[1] (numeric) = 6.129088383878159 absolute error = 1.77635683940025e-15 relative error = 2.898239881925585e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 6.129211374086283 y[1] (numeric) = 6.129211374086283 absolute error = 8.881784197001252e-16 relative error = 1.449090862578599e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 6.12933436674609 y[1] (numeric) = 6.129334366746093 absolute error = 3.552713678800501e-15 relative error = 5.79624713912703e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 6.129457361857634 y[1] (numeric) = 6.129457361857637 absolute error = 2.664535259100376e-15 relative error = 4.347098122716762e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 6.129580359420961 y[1] (numeric) = 6.129580359420963 absolute error = 1.77635683940025e-15 relative error = 2.898007261900154e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 6.129703359436117 y[1] (numeric) = 6.129703359436121 absolute error = 3.552713678800501e-15 relative error = 5.795898219660864e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 6.129826361903158 y[1] (numeric) = 6.12982636190316 absolute error = 2.664535259100376e-15 relative error = 4.34683643840297e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 6.129949366822129 y[1] (numeric) = 6.129949366822131 absolute error = 1.77635683940025e-15 relative error = 2.897832809214776e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 6.130072374193079 y[1] (numeric) = 6.130072374193081 absolute error = 1.77635683940025e-15 relative error = 2.897774660668795e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 6.130195384016057 y[1] (numeric) = 6.13019538401606 absolute error = 3.552713678800501e-15 relative error = 5.795433026594696e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 6.130318396291115 y[1] (numeric) = 6.130318396291117 absolute error = 2.664535259100376e-15 relative error = 4.346487550650612e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 6.1304414110183 y[1] (numeric) = 6.130441411018301 absolute error = 1.77635683940025e-15 relative error = 2.897600222077953e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 6.130564428197658 y[1] (numeric) = 6.130564428197663 absolute error = 4.440892098500626e-15 relative error = 7.243855195574898e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 6.130687447829247 y[1] (numeric) = 6.130687447829249 absolute error = 2.664535259100376e-15 relative error = 4.346225903334599e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 6.130810469913109 y[1] (numeric) = 6.130810469913111 absolute error = 2.664535259100376e-15 relative error = 4.346138691085878e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 6.130933494449293 y[1] (numeric) = 6.130933494449297 absolute error = 4.440892098500626e-15 relative error = 7.243419134331234e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 6.131056521437853 y[1] (numeric) = 6.131056521437857 absolute error = 3.552713678800501e-15 relative error = 5.794619029164194e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 6.131179550878835 y[1] (numeric) = 6.131179550878838 absolute error = 2.664535259100376e-15 relative error = 4.345877064909059e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 6.131302582772287 y[1] (numeric) = 6.131302582772292 absolute error = 4.440892098500626e-15 relative error = 7.242983099510746e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 6.131425617118263 y[1] (numeric) = 6.131425617118266 absolute error = 2.664535259100376e-15 relative error = 4.34570265626527e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 6.131548653916809 y[1] (numeric) = 6.131548653916811 absolute error = 1.77635683940025e-15 relative error = 2.897076969723661e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 6.131671693167972 y[1] (numeric) = 6.131671693167975 absolute error = 3.552713678800501e-15 relative error = 5.79403767288944e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 6.131794734871805 y[1] (numeric) = 6.131794734871809 absolute error = 3.552713678800501e-15 relative error = 5.793921408679992e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 6.131917779028357 y[1] (numeric) = 6.13191777902836 absolute error = 2.664535259100376e-15 relative error = 4.345353860114199e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 6.132040825637674 y[1] (numeric) = 6.132040825637678 absolute error = 4.440892098500626e-15 relative error = 7.242111109132767e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 6.132163874699809 y[1] (numeric) = 6.132163874699812 absolute error = 3.552713678800501e-15 relative error = 5.793572630141785e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 6.132286926214809 y[1] (numeric) = 6.132286926214812 absolute error = 2.664535259100376e-15 relative error = 4.3450922814942e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 6.132409980182725 y[1] (numeric) = 6.132409980182727 absolute error = 1.77635683940025e-15 relative error = 2.896670061428804e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 6.132533036603602 y[1] (numeric) = 6.132533036603606 absolute error = 3.552713678800501e-15 relative error = 5.793223872737765e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 6.132656095477495 y[1] (numeric) = 6.132656095477498 absolute error = 2.664535259100376e-15 relative error = 4.344830718724514e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 6.132779156804451 y[1] (numeric) = 6.132779156804452 absolute error = 1.77635683940025e-15 relative error = 2.896495689771161e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 6.132902220584515 y[1] (numeric) = 6.132902220584518 absolute error = 3.552713678800501e-15 relative error = 5.792875136466628e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 6.133025286817742 y[1] (numeric) = 6.133025286817746 absolute error = 3.552713678800501e-15 relative error = 5.792758895738886e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 6.13314835550418 y[1] (numeric) = 6.133148355504183 absolute error = 2.664535259100376e-15 relative error = 4.344481993019286e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 6.133271426643875 y[1] (numeric) = 6.133271426643879 absolute error = 4.440892098500626e-15 relative error = 7.240658026658836e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 6.13339450023688 y[1] (numeric) = 6.133394500236884 absolute error = 3.552713678800501e-15 relative error = 5.792410187642895e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 6.133517576283245 y[1] (numeric) = 6.133517576283246 absolute error = 1.77635683940025e-15 relative error = 2.89614697815324e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 6.133640654783012 y[1] (numeric) = 6.133640654783016 absolute error = 3.552713678800501e-15 relative error = 5.792177727317779e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 6.133763735736239 y[1] (numeric) = 6.133763735736242 absolute error = 2.664535259100376e-15 relative error = 4.344046125507555e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 6.133886819142972 y[1] (numeric) = 6.133886819142973 absolute error = 1.77635683940025e-15 relative error = 2.895972638191657e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 6.134009905003259 y[1] (numeric) = 6.13400990500326 absolute error = 8.881784197001252e-16 relative error = 1.447957263609364e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 6.134132993317147 y[1] (numeric) = 6.13413299331715 absolute error = 3.552713678800501e-15 relative error = 5.791712834839116e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 6.134256084084691 y[1] (numeric) = 6.134256084084694 absolute error = 2.664535259100376e-15 relative error = 4.343697463191184e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 6.134379177305938 y[1] (numeric) = 6.13437917730594 absolute error = 1.77635683940025e-15 relative error = 2.895740201342397e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 6.134502272980934 y[1] (numeric) = 6.134502272980938 absolute error = 3.552713678800501e-15 relative error = 5.791364190128719e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 6.134625371109733 y[1] (numeric) = 6.134625371109736 absolute error = 3.552713678800501e-15 relative error = 5.791247979919966e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 6.134748471692383 y[1] (numeric) = 6.134748471692385 absolute error = 1.77635683940025e-15 relative error = 2.895565886029244e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 6.134871574728929 y[1] (numeric) = 6.134871574728933 absolute error = 4.440892098500626e-15 relative error = 7.238769458180301e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 6.134994680219426 y[1] (numeric) = 6.13499468021943 absolute error = 3.552713678800501e-15 relative error = 5.790899363377171e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 6.135117788163922 y[1] (numeric) = 6.135117788163925 absolute error = 2.664535259100376e-15 relative error = 4.343087371917924e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 6.135240898562461 y[1] (numeric) = 6.135240898562466 absolute error = 4.440892098500626e-15 relative error = 7.238333705105475e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = cosh (2.0 * x + 3.0) ; Iterations = 100 Total Elapsed Time = 10 Seconds Elapsed Time(since restart) = 10 Seconds Expected Time Remaining = 5 Hours 13 Minutes 21 Seconds Optimized Time Remaining = 5 Hours 13 Minutes 21 Seconds Time to Timeout = 50 Seconds Percent Done = 0.05316 %