##############ECHO OF PROBLEM################# ##############temp/cos_sqrt_linpostode.ode################# diff ( y , x , 1 ) = cos(sqrt(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 = 5.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.05; glob_look_poles = true; glob_max_iter = 1000000; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(cos(sqrt(2.0*x+3.0))+sqrt(2.0*x+3.0)*sin(sqrt(2.0*x+3.0))); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 1.530159160995152 y[1] (numeric) = 1.530159160995152 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 1.530156997627125 y[1] (numeric) = 1.530156997627125 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 1.53015483420452 y[1] (numeric) = 1.53015483420452 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 1.530152670727338 y[1] (numeric) = 1.530152670727338 absolute error = 2.220446049250313e-16 relative error = 1.451127127200225e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 1.530150507195579 y[1] (numeric) = 1.530150507195579 absolute error = 2.220446049250313e-16 relative error = 1.451129178998144e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 1.530148343609242 y[1] (numeric) = 1.530148343609243 absolute error = 2.220446049250313e-16 relative error = 1.451131230853624e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 1.530146179968329 y[1] (numeric) = 1.53014617996833 absolute error = 2.220446049250313e-16 relative error = 1.451133282766665e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 1.53014401627284 y[1] (numeric) = 1.53014401627284 absolute error = 2.220446049250313e-16 relative error = 1.451135334737267e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 1.530141852522774 y[1] (numeric) = 1.530141852522774 absolute error = 2.220446049250313e-16 relative error = 1.45113738676543e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 1.530139688718132 y[1] (numeric) = 1.530139688718133 absolute error = 2.220446049250313e-16 relative error = 1.451139438851156e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 1.530137524858915 y[1] (numeric) = 1.530137524858915 absolute error = 2.220446049250313e-16 relative error = 1.451141490994443e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 1.530135360945122 y[1] (numeric) = 1.530135360945122 absolute error = 2.220446049250313e-16 relative error = 1.451143543195293e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 1.530133196976754 y[1] (numeric) = 1.530133196976754 absolute error = 2.220446049250313e-16 relative error = 1.451145595453706e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 1.53013103295381 y[1] (numeric) = 1.53013103295381 absolute error = 2.220446049250313e-16 relative error = 1.451147647769681e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 1.530128868876292 y[1] (numeric) = 1.530128868876292 absolute error = 2.220446049250313e-16 relative error = 1.451149700143219e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 1.530126704744199 y[1] (numeric) = 1.530126704744199 absolute error = 2.220446049250313e-16 relative error = 1.45115175257432e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 1.530124540557532 y[1] (numeric) = 1.530124540557532 absolute error = 2.220446049250313e-16 relative error = 1.451153805062984e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 1.530122376316291 y[1] (numeric) = 1.530122376316291 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 1.530120212020475 y[1] (numeric) = 1.530120212020475 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 1.530118047670087 y[1] (numeric) = 1.530118047670087 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 1.530115883265124 y[1] (numeric) = 1.530115883265124 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 1.530113718805589 y[1] (numeric) = 1.530113718805589 absolute error = 2.220446049250313e-16 relative error = 1.451164068369767e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 1.530111554291481 y[1] (numeric) = 1.530111554291481 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 1.5301093897228 y[1] (numeric) = 1.5301093897228 absolute error = 2.220446049250313e-16 relative error = 1.451168174095433e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 1.530107225099547 y[1] (numeric) = 1.530107225099547 absolute error = 2.220446049250313e-16 relative error = 1.451170227044614e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 1.530105060421721 y[1] (numeric) = 1.530105060421721 absolute error = 2.220446049250313e-16 relative error = 1.45117228005136e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 1.530102895689324 y[1] (numeric) = 1.530102895689324 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 1.530100730902355 y[1] (numeric) = 1.530100730902354 absolute error = 2.220446049250313e-16 relative error = 1.45117638623755e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 1.530098566060814 y[1] (numeric) = 1.530098566060814 absolute error = 2.220446049250313e-16 relative error = 1.451178439416995e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 1.530096401164702 y[1] (numeric) = 1.530096401164702 absolute error = 2.220446049250313e-16 relative error = 1.451180492654005e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 1.530094236214019 y[1] (numeric) = 1.530094236214019 absolute error = 2.220446049250313e-16 relative error = 1.451182545948583e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 1.530092071208765 y[1] (numeric) = 1.530092071208765 absolute error = 2.220446049250313e-16 relative error = 1.451184599300728e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 1.530089906148941 y[1] (numeric) = 1.530089906148941 absolute error = 4.440892098500626e-16 relative error = 2.902373305420879e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 1.530087741034547 y[1] (numeric) = 1.530087741034546 absolute error = 4.440892098500626e-16 relative error = 2.902377412355439e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 1.530085575865582 y[1] (numeric) = 1.530085575865582 absolute error = 2.220446049250313e-16 relative error = 1.451190759702567e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 1.530083410642048 y[1] (numeric) = 1.530083410642047 absolute error = 4.440892098500626e-16 relative error = 2.902385626569963e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 1.530081245363944 y[1] (numeric) = 1.530081245363943 absolute error = 4.440892098500626e-16 relative error = 2.90238973384993e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 1.53007908003127 y[1] (numeric) = 1.53007908003127 absolute error = 4.440892098500626e-16 relative error = 2.902393841245034e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 1.530076914644028 y[1] (numeric) = 1.530076914644028 absolute error = 4.440892098500626e-16 relative error = 2.902397948755275e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 1.530074749202217 y[1] (numeric) = 1.530074749202216 absolute error = 2.220446049250313e-16 relative error = 1.451201028190327e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 1.530072583705837 y[1] (numeric) = 1.530072583705836 absolute error = 4.440892098500626e-16 relative error = 2.90240616412117e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 1.530070418154889 y[1] (numeric) = 1.530070418154888 absolute error = 4.440892098500626e-16 relative error = 2.902410271976826e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 1.530068252549372 y[1] (numeric) = 1.530068252549372 absolute error = 4.440892098500626e-16 relative error = 2.902414379947621e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 1.530066086889288 y[1] (numeric) = 1.530066086889287 absolute error = 4.440892098500626e-16 relative error = 2.902418488033556e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 1.530063921174636 y[1] (numeric) = 1.530063921174635 absolute error = 6.661338147750939e-16 relative error = 4.353633894351946e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 1.530061755405416 y[1] (numeric) = 1.530061755405416 absolute error = 6.661338147750939e-16 relative error = 4.35364005682627e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 1.53005958958163 y[1] (numeric) = 1.530059589581629 absolute error = 6.661338147750939e-16 relative error = 4.353646219473306e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 1.530057423703276 y[1] (numeric) = 1.530057423703275 absolute error = 6.661338147750939e-16 relative error = 4.353652382293053e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 1.530055257770356 y[1] (numeric) = 1.530055257770355 absolute error = 6.661338147750939e-16 relative error = 4.353658545285514e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 1.530053091782869 y[1] (numeric) = 1.530053091782868 absolute error = 8.881784197001252e-16 relative error = 5.804886277934252e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 1.530050925740816 y[1] (numeric) = 1.530050925740815 absolute error = 6.661338147750939e-16 relative error = 4.353670871788579e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 1.530048759644197 y[1] (numeric) = 1.530048759644196 absolute error = 6.661338147750939e-16 relative error = 4.353677035299183e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 1.530046593493012 y[1] (numeric) = 1.530046593493011 absolute error = 6.661338147750939e-16 relative error = 4.353683198982504e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 1.530044427287262 y[1] (numeric) = 1.530044427287261 absolute error = 6.661338147750939e-16 relative error = 4.353689362838542e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 1.530042261026946 y[1] (numeric) = 1.530042261026945 absolute error = 6.661338147750939e-16 relative error = 4.353695526867296e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 1.530040094712065 y[1] (numeric) = 1.530040094712064 absolute error = 6.661338147750939e-16 relative error = 4.35370169106877e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 1.53003792834262 y[1] (numeric) = 1.530037928342619 absolute error = 6.661338147750939e-16 relative error = 4.353707855442962e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 1.53003576191861 y[1] (numeric) = 1.530035761918609 absolute error = 8.881784197001252e-16 relative error = 5.804952026653165e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 1.530033595440035 y[1] (numeric) = 1.530033595440034 absolute error = 8.881784197001252e-16 relative error = 5.804960246279341e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 1.530031428906897 y[1] (numeric) = 1.530031428906896 absolute error = 8.881784197001252e-16 relative error = 5.804968466135812e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 1.530029262319194 y[1] (numeric) = 1.530029262319193 absolute error = 6.661338147750939e-16 relative error = 4.353732514666935e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 1.530027095676928 y[1] (numeric) = 1.530027095676927 absolute error = 6.661338147750939e-16 relative error = 4.353738679904732e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 1.530024928980099 y[1] (numeric) = 1.530024928980098 absolute error = 8.881784197001252e-16 relative error = 5.804993127087003e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 1.530022762228706 y[1] (numeric) = 1.530022762228705 absolute error = 8.881784197001252e-16 relative error = 5.805001347864662e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 1.530020595422751 y[1] (numeric) = 1.53002059542275 absolute error = 8.881784197001252e-16 relative error = 5.805009568872621e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 1.530018428562232 y[1] (numeric) = 1.530018428562232 absolute error = 8.881784197001252e-16 relative error = 5.80501779011088e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 1.530016261647152 y[1] (numeric) = 1.530016261647151 absolute error = 8.881784197001252e-16 relative error = 5.80502601157944e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 1.530014094677509 y[1] (numeric) = 1.530014094677508 absolute error = 8.881784197001252e-16 relative error = 5.805034233278303e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 1.530011927653304 y[1] (numeric) = 1.530011927653304 absolute error = 8.881784197001252e-16 relative error = 5.80504245520747e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 1.530009760574538 y[1] (numeric) = 1.530009760574537 absolute error = 8.881784197001252e-16 relative error = 5.80505067736694e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 1.53000759344121 y[1] (numeric) = 1.530007593441209 absolute error = 6.661338147750939e-16 relative error = 4.353794174817538e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 1.530005426253321 y[1] (numeric) = 1.53000542625332 absolute error = 6.661338147750939e-16 relative error = 4.353800341782599e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 1.530003259010871 y[1] (numeric) = 1.53000325901087 absolute error = 6.661338147750939e-16 relative error = 4.353806508920391e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 1.53000109171386 y[1] (numeric) = 1.530001091713859 absolute error = 6.661338147750939e-16 relative error = 4.353812676230914e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 1.529998924362288 y[1] (numeric) = 1.529998924362287 absolute error = 8.881784197001252e-16 relative error = 5.805091791618891e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 1.529996756956156 y[1] (numeric) = 1.529996756956156 absolute error = 6.661338147750939e-16 relative error = 4.353825011370156e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 1.529994589495465 y[1] (numeric) = 1.529994589495464 absolute error = 6.661338147750939e-16 relative error = 4.353831179198876e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 1.529992421980213 y[1] (numeric) = 1.529992421980212 absolute error = 6.661338147750939e-16 relative error = 4.353837347200331e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 1.529990254410402 y[1] (numeric) = 1.529990254410401 absolute error = 6.661338147750939e-16 relative error = 4.35384351537452e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 1.529988086786031 y[1] (numeric) = 1.52998808678603 absolute error = 8.881784197001252e-16 relative error = 5.805132911628592e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 1.529985919107101 y[1] (numeric) = 1.529985919107101 absolute error = 6.661338147750939e-16 relative error = 4.353855852241105e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 1.529983751373613 y[1] (numeric) = 1.529983751373612 absolute error = 6.661338147750939e-16 relative error = 4.353862020933503e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 1.529981583585566 y[1] (numeric) = 1.529981583585565 absolute error = 6.661338147750939e-16 relative error = 4.353868189798637e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 1.52997941574296 y[1] (numeric) = 1.52997941574296 absolute error = 6.661338147750939e-16 relative error = 4.35387435883651e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 1.529977247845796 y[1] (numeric) = 1.529977247845796 absolute error = 6.661338147750939e-16 relative error = 4.353880528047122e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 1.529975079894075 y[1] (numeric) = 1.529975079894074 absolute error = 8.881784197001252e-16 relative error = 5.805182263240631e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 1.529972911887796 y[1] (numeric) = 1.529972911887795 absolute error = 6.661338147750939e-16 relative error = 4.353892866986566e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 1.529970743826959 y[1] (numeric) = 1.529970743826958 absolute error = 6.661338147750939e-16 relative error = 4.353899036715399e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 1.529968575711565 y[1] (numeric) = 1.529968575711564 absolute error = 6.661338147750939e-16 relative error = 4.353905206616974e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 1.529966407541614 y[1] (numeric) = 1.529966407541614 absolute error = 6.661338147750939e-16 relative error = 4.353911376691292e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 1.529964239317107 y[1] (numeric) = 1.529964239317106 absolute error = 6.661338147750939e-16 relative error = 4.353917546938352e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 1.529962071038043 y[1] (numeric) = 1.529962071038042 absolute error = 6.661338147750939e-16 relative error = 4.353923717358157e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 1.529959902704422 y[1] (numeric) = 1.529959902704422 absolute error = 6.661338147750939e-16 relative error = 4.353929887950706e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 1.529957734316246 y[1] (numeric) = 1.529957734316245 absolute error = 6.661338147750939e-16 relative error = 4.353936058716001e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 1.529955565873514 y[1] (numeric) = 1.529955565873513 absolute error = 6.661338147750939e-16 relative error = 4.353942229654042e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 1.529953397376226 y[1] (numeric) = 1.529953397376226 absolute error = 4.440892098500626e-16 relative error = 2.902632267176554e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 1.529951228824384 y[1] (numeric) = 1.529951228824383 absolute error = 6.661338147750939e-16 relative error = 4.353954572048365e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 1.529949060217985 y[1] (numeric) = 1.529949060217985 absolute error = 6.661338147750939e-16 relative error = 4.353960743504649e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 1.529946891557033 y[1] (numeric) = 1.529946891557032 absolute error = 6.661338147750939e-16 relative error = 4.353966915133682e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 1.529944722841525 y[1] (numeric) = 1.529944722841525 absolute error = 8.881784197001252e-16 relative error = 5.805297449247285e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.339 Order of pole = 1.041 x[1] = 0.1009999999999996 y[1] (analytic) = 1.529942554071464 y[1] (numeric) = 1.529942554071463 absolute error = 8.881784197001252e-16 relative error = 5.805305678546663e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0)); Iterations = 100 Total Elapsed Time = 17 Seconds Elapsed Time(since restart) = 17 Seconds Expected Time Remaining = 22 Hours 54 Minutes 18 Seconds Optimized Time Remaining = 21 Hours 33 Minutes 27 Seconds Time to Timeout = 43 Seconds Percent Done = 0.02061 %