##############ECHO OF PROBLEM################# ##############temp/mult_sin_sinpostode.ode################# diff ( y , x , 1 ) = sin(x) * sin(x); ! // 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(-(sin(x) * cos(x))/2.0 + x/2.0); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.0003326673012346977 y[1] (numeric) = 0.0003326673012346977 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) = 0.0003327669782792812 y[1] (numeric) = 0.0003327669782792847 absolute error = 3.469446951953614e-18 relative error = 1.042605540337543e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.0003328666751927629 y[1] (numeric) = 0.0003328666751927649 absolute error = 2.059984127722458e-18 relative error = 6.188616287675908e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.0003329663919770981 y[1] (numeric) = 0.0003329663919770985 absolute error = 3.794707603699266e-19 relative error = 1.139666853812763e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.0003330661286342421 y[1] (numeric) = 0.0003330661286342455 absolute error = 3.415236843329339e-18 relative error = 1.025393022500885e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.000333165885166164 y[1] (numeric) = 0.000333165885166166 absolute error = 2.059984127722458e-18 relative error = 6.18305840856142e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.000333265661574819 y[1] (numeric) = 0.0003332656615748202 absolute error = 1.24683249835833e-18 relative error = 3.741257027401286e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.0003333654578621694 y[1] (numeric) = 0.0003333654578621682 absolute error = 1.192622389734055e-18 relative error = 3.577522390538576e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.0003334652740301704 y[1] (numeric) = 0.0003334652740301699 absolute error = 4.87890977618477e-19 relative error = 1.463093808005732e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.0003335651100807842 y[1] (numeric) = 0.0003335651100807856 absolute error = 1.355252715606881e-18 relative error = 4.062933066586789e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.000333664966015973 y[1] (numeric) = 0.0003336649660159752 absolute error = 2.168404344971009e-18 relative error = 6.498747443767304e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.0003337648418376988 y[1] (numeric) = 0.0003337648418376988 absolute error = 5.421010862427522e-20 relative error = 1.624200689497313e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.0003338647375479171 y[1] (numeric) = 0.0003338647375479165 absolute error = 5.963111948670274e-19 relative error = 1.786086183424637e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.0003339646531485828 y[1] (numeric) = 0.0003339646531485882 absolute error = 5.421010862427522e-18 relative error = 1.62322892896563e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.0003340645886416721 y[1] (numeric) = 0.0003340645886416742 absolute error = 2.059984127722458e-18 relative error = 6.166424690801516e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.0003341645440291332 y[1] (numeric) = 0.0003341645440291342 absolute error = 1.029992063861229e-18 relative error = 3.08229009410236e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.0003342645193129282 y[1] (numeric) = 0.0003342645193129285 absolute error = 2.710505431213761e-19 relative error = 8.108863713041195e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.0003343645144950123 y[1] (numeric) = 0.0003343645144950169 absolute error = 4.607859233063394e-18 relative error = 1.378094574426536e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.0003344645295773546 y[1] (numeric) = 0.0003344645295773596 absolute error = 4.98732999343332e-18 relative error = 1.491138686585256e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.000334564564561917 y[1] (numeric) = 0.0003345645645619164 absolute error = 6.505213034913027e-19 relative error = 1.944381959108859e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.000334664619450648 y[1] (numeric) = 0.0003346646194506474 absolute error = 6.505213034913027e-19 relative error = 1.94380064602925e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.0003347646942455096 y[1] (numeric) = 0.0003347646942455125 absolute error = 2.927345865710862e-18 relative error = 8.744488041991687e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.0003348647889484707 y[1] (numeric) = 0.0003348647889484718 absolute error = 1.084202172485504e-18 relative error = 3.237731192610825e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.0003349649035614796 y[1] (numeric) = 0.0003349649035614852 absolute error = 5.583641188300348e-18 relative error = 1.666933200742186e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.0003350650380865121 y[1] (numeric) = 0.0003350650380865126 absolute error = 4.336808689942018e-19 relative error = 1.294318474618732e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.0003351651925255097 y[1] (numeric) = 0.0003351651925255139 absolute error = 4.228388472693467e-18 relative error = 1.261583412296502e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.0003352653668804481 y[1] (numeric) = 0.0003352653668804492 absolute error = 1.13841228110978e-18 relative error = 3.395555859832444e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.0003353655611532755 y[1] (numeric) = 0.0003353655611532784 absolute error = 2.873135757086587e-18 relative error = 8.567175911582193e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.000335465775345961 y[1] (numeric) = 0.0003354657753459613 absolute error = 3.252606517456513e-19 relative error = 9.695792407145402e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.0003355660094604526 y[1] (numeric) = 0.0003355660094604579 absolute error = 5.312590645178972e-18 relative error = 1.583173055495383e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.0003356662634987262 y[1] (numeric) = 0.0003356662634987281 absolute error = 1.897353801849633e-18 relative error = 5.652500737110368e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.0003357665374627301 y[1] (numeric) = 0.0003357665374627318 absolute error = 1.734723475976807e-18 relative error = 5.166457292276663e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.0003358668313544261 y[1] (numeric) = 0.0003358668313544289 absolute error = 2.818925648462312e-18 relative error = 8.392986104327814e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.0003359671451757763 y[1] (numeric) = 0.0003359671451757793 absolute error = 2.981555974335137e-18 relative error = 8.87454626783581e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.0003360674789287426 y[1] (numeric) = 0.0003360674789287428 absolute error = 1.084202172485504e-19 relative error = 3.226144272994028e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.0003361678326152733 y[1] (numeric) = 0.0003361678326152792 absolute error = 5.908901840045999e-18 relative error = 1.757723751876174e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.0003362682062373442 y[1] (numeric) = 0.0003362682062373486 absolute error = 4.445228907190568e-18 relative error = 1.321929586186642e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.0003363685997969101 y[1] (numeric) = 0.0003363685997969107 absolute error = 6.505213034913027e-19 relative error = 1.933953715905912e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.0003364690132959193 y[1] (numeric) = 0.0003364690132959254 absolute error = 6.071532165918825e-18 relative error = 1.80448478938505e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.0003365694467363476 y[1] (numeric) = 0.0003365694467363524 absolute error = 4.824699667560495e-18 relative error = 1.433493061935575e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.00033666990012015 y[1] (numeric) = 0.0003366699001201517 absolute error = 1.734723475976807e-18 relative error = 5.152594500897535e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.0003367703734492814 y[1] (numeric) = 0.000336770373449283 absolute error = 1.626303258728257e-18 relative error = 4.829116178098674e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.0003368708667257038 y[1] (numeric) = 0.0003368708667257061 absolute error = 2.331034670843835e-18 relative error = 6.919668339090519e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.0003369713799513792 y[1] (numeric) = 0.0003369713799513809 absolute error = 1.788933584601082e-18 relative error = 5.308859122870326e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.0003370719131282624 y[1] (numeric) = 0.0003370719131282672 absolute error = 4.824699667560495e-18 relative error = 1.431356182359995e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.0003371724662583224 y[1] (numeric) = 0.0003371724662583247 absolute error = 2.331034670843835e-18 relative error = 6.913478721177454e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.0003372730393435072 y[1] (numeric) = 0.0003372730393435132 absolute error = 6.071532165918825e-18 relative error = 1.80018307355278e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.0003373736323857925 y[1] (numeric) = 0.0003373736323857925 absolute error = 5.421010862427522e-20 relative error = 1.606827073026414e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.0003374742453871194 y[1] (numeric) = 0.0003374742453871223 absolute error = 2.981555974335137e-18 relative error = 8.834914115934894e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.0003375748783494567 y[1] (numeric) = 0.0003375748783494625 absolute error = 5.800481622797449e-18 relative error = 1.718280000916657e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.0003376755312747663 y[1] (numeric) = 0.0003376755312747727 absolute error = 6.342582709040201e-18 relative error = 1.878306872012958e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.0003377762041650101 y[1] (numeric) = 0.0003377762041650126 absolute error = 2.547875105340935e-18 relative error = 7.543086439849535e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.000337876897022136 y[1] (numeric) = 0.0003378768970221421 absolute error = 6.1257422745431e-18 relative error = 1.813010101765488e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.0003379776098481197 y[1] (numeric) = 0.0003379776098481208 absolute error = 1.13841228110978e-18 relative error = 3.368306798847886e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.0003380783426449023 y[1] (numeric) = 0.0003380783426449085 absolute error = 6.179952383167375e-18 relative error = 1.827964587976709e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.0003381790954144595 y[1] (numeric) = 0.0003381790954144648 absolute error = 5.312590645178972e-18 relative error = 1.570939989258668e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.0003382798681587462 y[1] (numeric) = 0.0003382798681587495 absolute error = 3.306816626080789e-18 relative error = 9.775387001537386e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.0003383806608797172 y[1] (numeric) = 0.0003383806608797223 absolute error = 5.041540102057596e-18 relative error = 1.489901960989931e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.0003384814735793413 y[1] (numeric) = 0.0003384814735793427 absolute error = 1.463672932855431e-18 relative error = 4.324233516763926e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.0003385823062595665 y[1] (numeric) = 0.0003385823062595706 absolute error = 4.174178364069192e-18 relative error = 1.232840076666367e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.0003386831589223614 y[1] (numeric) = 0.0003386831589223656 absolute error = 4.228388472693467e-18 relative error = 1.248479105411547e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.0003387840315696809 y[1] (numeric) = 0.0003387840315696873 absolute error = 6.451002926288751e-18 relative error = 1.904163810909108e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.0003388849242034936 y[1] (numeric) = 0.0003388849242034954 absolute error = 1.734723475976807e-18 relative error = 5.118916045185711e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.0003389858368257477 y[1] (numeric) = 0.0003389858368257495 absolute error = 1.843143693225358e-18 relative error = 5.437229208407333e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.0003390867694384047 y[1] (numeric) = 0.0003390867694384093 absolute error = 4.607859233063394e-18 relative error = 1.358902690510434e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.0003391877220434334 y[1] (numeric) = 0.0003391877220434344 absolute error = 1.029992063861229e-18 relative error = 3.03664312391985e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.0003392886946427816 y[1] (numeric) = 0.0003392886946427844 absolute error = 2.764715539838036e-18 relative error = 8.148563696614922e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.0003393896872384181 y[1] (numeric) = 0.0003393896872384189 absolute error = 8.673617379884035e-19 relative error = 2.555651425492755e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.0003394906998322907 y[1] (numeric) = 0.0003394906998322976 absolute error = 6.938893903907228e-18 relative error = 2.043912810375972e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.0003395917324263749 y[1] (numeric) = 0.0003395917324263799 absolute error = 5.041540102057596e-18 relative error = 1.484588587017685e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.0003396927850226187 y[1] (numeric) = 0.0003396927850226256 absolute error = 6.938893903907228e-18 relative error = 2.042696874896886e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.0003397938576229906 y[1] (numeric) = 0.0003397938576229942 absolute error = 3.577867169202165e-18 relative error = 1.05295227942934e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.0003398949502294386 y[1] (numeric) = 0.0003398949502294452 absolute error = 6.613633252161577e-18 relative error = 1.945787440412748e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.0003399960628439312 y[1] (numeric) = 0.0003399960628439382 absolute error = 7.047314121155779e-18 relative error = 2.072763449731686e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.0003400971954684301 y[1] (numeric) = 0.0003400971954684328 absolute error = 2.710505431213761e-18 relative error = 7.96979647974006e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.0003401983481048832 y[1] (numeric) = 0.0003401983481048886 absolute error = 5.366800753803247e-18 relative error = 1.577550503610518e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.000340299520755259 y[1] (numeric) = 0.0003402995207552649 absolute error = 5.908901840045999e-18 relative error = 1.736382651063337e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.0003404007134215193 y[1] (numeric) = 0.0003404007134215215 absolute error = 2.222614453595284e-18 relative error = 6.529405979367069e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.0003405019261056117 y[1] (numeric) = 0.0003405019261056178 absolute error = 6.01732205729455e-18 relative error = 1.767191782471206e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.0003406031588095119 y[1] (numeric) = 0.0003406031588095133 absolute error = 1.355252715606881e-18 relative error = 3.978978704554025e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.0003407044115351607 y[1] (numeric) = 0.0003407044115351675 absolute error = 6.884683795282953e-18 relative error = 2.020720472699971e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.0003408056842845335 y[1] (numeric) = 0.00034080568428454 absolute error = 6.505213034913027e-18 relative error = 1.908774804789325e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.0003409069770595851 y[1] (numeric) = 0.0003409069770595902 absolute error = 5.149960319306146e-18 relative error = 1.510664394060206e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.0003410082898622701 y[1] (numeric) = 0.0003410082898622776 absolute error = 7.535205098774256e-18 relative error = 2.209683847221911e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.0003411096226945571 y[1] (numeric) = 0.0003411096226945617 absolute error = 4.607859233063394e-18 relative error = 1.350844105969256e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.0003412109755583939 y[1] (numeric) = 0.000341210975558402 absolute error = 8.131516293641283e-18 relative error = 2.383134446462048e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.0003413123484557558 y[1] (numeric) = 0.0003413123484557579 absolute error = 2.059984127722458e-18 relative error = 6.035480805317225e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.0003414137413885838 y[1] (numeric) = 0.0003414137413885888 absolute error = 4.98732999343332e-18 relative error = 1.460787715558565e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.0003415151543588463 y[1] (numeric) = 0.0003415151543588542 absolute error = 7.968885967768458e-18 relative error = 2.333391612658913e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.0003416165873685117 y[1] (numeric) = 0.0003416165873685136 absolute error = 1.843143693225358e-18 relative error = 5.395357723766221e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.000341718040419521 y[1] (numeric) = 0.0003417180404195263 absolute error = 5.312590645178972e-18 relative error = 1.554670815347297e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.0003418195135138494 y[1] (numeric) = 0.0003418195135138518 absolute error = 2.38524477946811e-18 relative error = 6.978082541128733e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.0003419210066534448 y[1] (numeric) = 0.0003419210066534495 absolute error = 4.716279450311944e-18 relative error = 1.379347673450244e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.0003420225198402755 y[1] (numeric) = 0.0003420225198402788 absolute error = 3.306816626080789e-18 relative error = 9.668417821215608e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.0003421240530762963 y[1] (numeric) = 0.0003421240530762991 absolute error = 2.873135757086587e-18 relative error = 8.397935577028417e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.0003422256063634615 y[1] (numeric) = 0.0003422256063634698 absolute error = 8.239936510889834e-18 relative error = 2.407749846204842e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.0003423271797037468 y[1] (numeric) = 0.0003423271797037502 absolute error = 3.415236843329339e-18 relative error = 9.976528437750452e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.0003424287730990928 y[1] (numeric) = 0.0003424287730990997 absolute error = 6.993104012531504e-18 relative error = 2.042206894368606e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.0003425303865514747 y[1] (numeric) = 0.0003425303865514778 absolute error = 3.089976191583688e-18 relative error = 9.021027952272879e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.0003426320200628404 y[1] (numeric) = 0.0003426320200628437 absolute error = 3.306816626080789e-18 relative error = 9.651218895053365e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.0003427336736351513 y[1] (numeric) = 0.0003427336736351568 absolute error = 5.529431079676073e-18 relative error = 1.613331722275499e-12 % Correct digits = 13 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sin(x) * sin(x); Iterations = 100 Total Elapsed Time = 13 Seconds Elapsed Time(since restart) = 13 Seconds Expected Time Remaining = 17 Hours 30 Minutes 56 Seconds Optimized Time Remaining = 17 Hours 30 Minutes 56 Seconds Time to Timeout = 47 Seconds Percent Done = 0.02061 %