##############ECHO OF PROBLEM################# ##############temp/sub_sin_cpostode.ode################# diff ( y , x , 1 ) = sin(x) - 1,0; ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.1; x_end = 5.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.05; glob_look_poles = true; glob_max_iter = 1000000; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(2.0 - cos(x) - x); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.9049958347219742 y[1] (numeric) = 0.9049958347219742 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 0.9049868331058909 y[1] (numeric) = 0.9049868331058909 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.9049778315893079 y[1] (numeric) = 0.9049778315893079 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.9049688301722251 y[1] (numeric) = 0.9049688301722251 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.9049598288546424 y[1] (numeric) = 0.9049598288546424 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.9049508276365598 y[1] (numeric) = 0.9049508276365598 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.9049418265179769 y[1] (numeric) = 0.9049418265179771 absolute error = 1.110223024625157e-16 relative error = 1.226844634750786e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.904932825498894 y[1] (numeric) = 0.9049328254988941 absolute error = 1.110223024625157e-16 relative error = 1.226856837702937e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.9049238245793109 y[1] (numeric) = 0.9049238245793109 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.9049148237592272 y[1] (numeric) = 0.9049148237592273 absolute error = 1.110223024625157e-16 relative error = 1.226881243930817e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.9049058230386431 y[1] (numeric) = 0.9049058230386432 absolute error = 1.110223024625157e-16 relative error = 1.226893447206545e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.9048968224175584 y[1] (numeric) = 0.9048968224175585 absolute error = 1.110223024625157e-16 relative error = 1.226905650590131e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.9048878218959732 y[1] (numeric) = 0.9048878218959732 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.904878821473887 y[1] (numeric) = 0.904878821473887 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.9048698211513 y[1] (numeric) = 0.9048698211513 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.904860820928212 y[1] (numeric) = 0.904860820928212 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.9048518208046229 y[1] (numeric) = 0.9048518208046229 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.9048428207805327 y[1] (numeric) = 0.9048428207805327 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.9048338208559411 y[1] (numeric) = 0.9048338208559411 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.9048248210308482 y[1] (numeric) = 0.9048248210308482 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.9048158213052538 y[1] (numeric) = 0.9048158213052537 absolute error = 1.110223024625157e-16 relative error = 1.227015485895892e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.9048068216791578 y[1] (numeric) = 0.9048068216791577 absolute error = 1.110223024625157e-16 relative error = 1.227027690358019e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.9047978221525601 y[1] (numeric) = 0.90479782215256 absolute error = 1.110223024625157e-16 relative error = 1.227039894927995e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.9047888227254607 y[1] (numeric) = 0.9047888227254606 absolute error = 1.110223024625157e-16 relative error = 1.227052099605822e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.9047798233978593 y[1] (numeric) = 0.9047798233978592 absolute error = 1.110223024625157e-16 relative error = 1.227064304391498e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.9047708241697561 y[1] (numeric) = 0.904770824169756 absolute error = 1.110223024625157e-16 relative error = 1.227076509285022e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.9047618250411507 y[1] (numeric) = 0.9047618250411505 absolute error = 1.110223024625157e-16 relative error = 1.227088714286394e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.9047528260120431 y[1] (numeric) = 0.904752826012043 absolute error = 1.110223024625157e-16 relative error = 1.227100919395612e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.9047438270824332 y[1] (numeric) = 0.9047438270824332 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.904734828252321 y[1] (numeric) = 0.9047348282523209 absolute error = 1.110223024625157e-16 relative error = 1.227125329937588e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.9047258295217062 y[1] (numeric) = 0.9047258295217061 absolute error = 1.110223024625157e-16 relative error = 1.227137535370344e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.904716830890589 y[1] (numeric) = 0.9047168308905887 absolute error = 2.220446049250313e-16 relative error = 2.454299481821888e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.9047078323589689 y[1] (numeric) = 0.9047078323589688 absolute error = 1.110223024625157e-16 relative error = 1.227161946559388e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.9046988339268461 y[1] (numeric) = 0.904698833926846 absolute error = 1.110223024625157e-16 relative error = 1.227174152315675e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.9046898355942204 y[1] (numeric) = 0.9046898355942203 absolute error = 1.110223024625157e-16 relative error = 1.227186358179803e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.9046808373610918 y[1] (numeric) = 0.9046808373610917 absolute error = 1.110223024625157e-16 relative error = 1.227198564151774e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.9046718392274601 y[1] (numeric) = 0.90467183922746 absolute error = 1.110223024625157e-16 relative error = 1.227210770231586e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.9046628411933252 y[1] (numeric) = 0.9046628411933251 absolute error = 1.110223024625157e-16 relative error = 1.227222976419237e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.904653843258687 y[1] (numeric) = 0.9046538432586869 absolute error = 1.110223024625157e-16 relative error = 1.227235182714729e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.9046448454235454 y[1] (numeric) = 0.9046448454235453 absolute error = 1.110223024625157e-16 relative error = 1.227247389118059e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.9046358476879004 y[1] (numeric) = 0.9046358476879002 absolute error = 2.220446049250313e-16 relative error = 2.454519191258456e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.9046268500517517 y[1] (numeric) = 0.9046268500517515 absolute error = 2.220446049250313e-16 relative error = 2.454543604496469e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.9046178525150994 y[1] (numeric) = 0.9046178525150992 absolute error = 2.220446049250313e-16 relative error = 2.454568017950155e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.9046088550779433 y[1] (numeric) = 0.9046088550779431 absolute error = 2.220446049250313e-16 relative error = 2.454592431619514e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.9045998577402833 y[1] (numeric) = 0.9045998577402831 absolute error = 2.220446049250313e-16 relative error = 2.454616845504543e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.9045908605021192 y[1] (numeric) = 0.9045908605021191 absolute error = 1.110223024625157e-16 relative error = 1.227320629802622e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.9045818633634511 y[1] (numeric) = 0.904581863363451 absolute error = 1.110223024625157e-16 relative error = 1.227332836960806e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.9045728663242789 y[1] (numeric) = 0.9045728663242788 absolute error = 1.110223024625157e-16 relative error = 1.227345044226823e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.9045638693846024 y[1] (numeric) = 0.9045638693846022 absolute error = 2.220446049250313e-16 relative error = 2.454714503201348e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.9045548725444215 y[1] (numeric) = 0.9045548725444212 absolute error = 2.220446049250313e-16 relative error = 2.454738918164713e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.904545875803736 y[1] (numeric) = 0.9045458758037358 absolute error = 2.220446049250313e-16 relative error = 2.454763333343742e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.904536879162546 y[1] (numeric) = 0.9045368791625458 absolute error = 2.220446049250313e-16 relative error = 2.454787748738432e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.9045278826208513 y[1] (numeric) = 0.904527882620851 absolute error = 2.220446049250313e-16 relative error = 2.454812164348782e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.9045188861786518 y[1] (numeric) = 0.9045188861786515 absolute error = 3.33066907387547e-16 relative error = 3.682254870262187e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.9045098898359475 y[1] (numeric) = 0.9045098898359472 absolute error = 3.33066907387547e-16 relative error = 3.682291494324687e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.9045008935927381 y[1] (numeric) = 0.9045008935927378 absolute error = 3.33066907387547e-16 relative error = 3.682328118710673e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.9044918974490236 y[1] (numeric) = 0.9044918974490234 absolute error = 2.220446049250313e-16 relative error = 2.45490982894676e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.904482901404804 y[1] (numeric) = 0.9044829014048037 absolute error = 3.33066907387547e-16 relative error = 3.682401368453088e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.904473905460079 y[1] (numeric) = 0.9044739054600788 absolute error = 2.220446049250313e-16 relative error = 2.454958662539676e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.9044649096148487 y[1] (numeric) = 0.9044649096148485 absolute error = 2.220446049250313e-16 relative error = 2.454983079659611e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.9044559138691129 y[1] (numeric) = 0.9044559138691126 absolute error = 3.33066907387547e-16 relative error = 3.682511245492793e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.9044469182228715 y[1] (numeric) = 0.9044469182228712 absolute error = 3.33066907387547e-16 relative error = 3.682547871819642e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.9044379226761244 y[1] (numeric) = 0.9044379226761241 absolute error = 3.33066907387547e-16 relative error = 3.682584498469962e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.9044289272288715 y[1] (numeric) = 0.9044289272288712 absolute error = 2.220446049250313e-16 relative error = 2.455080750295833e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.9044199318811127 y[1] (numeric) = 0.9044199318811125 absolute error = 2.220446049250313e-16 relative error = 2.455105168494002e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.904410936632848 y[1] (numeric) = 0.9044109366328477 absolute error = 3.33066907387547e-16 relative error = 3.682694380361721e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.904401941484077 y[1] (numeric) = 0.9044019414840768 absolute error = 2.220446049250313e-16 relative error = 2.455154005537268e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.9043929464348001 y[1] (numeric) = 0.9043929464347997 absolute error = 3.33066907387547e-16 relative error = 3.682767636573541e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.9043839514850166 y[1] (numeric) = 0.9043839514850164 absolute error = 2.220446049250313e-16 relative error = 2.455202843443093e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.9043749566347269 y[1] (numeric) = 0.9043749566347267 absolute error = 2.220446049250313e-16 relative error = 2.455227262719462e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.9043659618839307 y[1] (numeric) = 0.9043659618839304 absolute error = 3.33066907387547e-16 relative error = 3.682877523317202e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.9043569672326278 y[1] (numeric) = 0.9043569672326275 absolute error = 3.33066907387547e-16 relative error = 3.682914152878663e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.9043479726808182 y[1] (numeric) = 0.9043479726808179 absolute error = 3.33066907387547e-16 relative error = 3.682950782763573e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.904338978228502 y[1] (numeric) = 0.9043389782285015 absolute error = 4.440892098500626e-16 relative error = 4.910649883962574e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.9043299838756786 y[1] (numeric) = 0.9043299838756783 absolute error = 3.33066907387547e-16 relative error = 3.683024043503735e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.9043209896223484 y[1] (numeric) = 0.9043209896223481 absolute error = 3.33066907387547e-16 relative error = 3.683060674358984e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.9043119954685112 y[1] (numeric) = 0.9043119954685107 absolute error = 4.440892098500626e-16 relative error = 4.910796407383564e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.9043030014141665 y[1] (numeric) = 0.9043030014141662 absolute error = 3.33066907387547e-16 relative error = 3.683133937039803e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.9042940074593148 y[1] (numeric) = 0.9042940074593143 absolute error = 4.440892098500626e-16 relative error = 4.910894091820494e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.9042850136039555 y[1] (numeric) = 0.9042850136039551 absolute error = 4.440892098500626e-16 relative error = 4.910942934685831e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.9042760198480888 y[1] (numeric) = 0.9042760198480884 absolute error = 4.440892098500626e-16 relative error = 4.910991777982414e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.9042670261917144 y[1] (numeric) = 0.9042670261917141 absolute error = 3.33066907387547e-16 relative error = 3.683280466282679e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.9042580326348324 y[1] (numeric) = 0.9042580326348321 absolute error = 3.33066907387547e-16 relative error = 3.683317099401977e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.9042490391774425 y[1] (numeric) = 0.9042490391774423 absolute error = 2.220446049250313e-16 relative error = 2.455569155229803e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.9042400458195448 y[1] (numeric) = 0.9042400458195445 absolute error = 2.220446049250313e-16 relative error = 2.45559357774057e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.904231052561139 y[1] (numeric) = 0.9042310525611388 absolute error = 2.220446049250313e-16 relative error = 2.455618000466954e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.9042220594022252 y[1] (numeric) = 0.9042220594022249 absolute error = 3.33066907387547e-16 relative error = 3.683463635113427e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.9042130663428031 y[1] (numeric) = 0.9042130663428029 absolute error = 2.220446049250313e-16 relative error = 2.455666846566562e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.9042040733828728 y[1] (numeric) = 0.9042040733828725 absolute error = 3.33066907387547e-16 relative error = 3.683536904909677e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.9041950805224339 y[1] (numeric) = 0.9041950805224337 absolute error = 2.220446049250313e-16 relative error = 2.455715693528618e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.9041860877614867 y[1] (numeric) = 0.9041860877614863 absolute error = 3.33066907387547e-16 relative error = 3.683610175999589e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.9041770951000307 y[1] (numeric) = 0.9041770951000304 absolute error = 3.33066907387547e-16 relative error = 3.683646812029663e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.9041681025380661 y[1] (numeric) = 0.9041681025380658 absolute error = 3.33066907387547e-16 relative error = 3.683683448383147e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.9041591100755928 y[1] (numeric) = 0.9041591100755924 absolute error = 4.440892098500626e-16 relative error = 4.911626780080049e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.9041501177126104 y[1] (numeric) = 0.90415011771261 absolute error = 4.440892098500626e-16 relative error = 4.911675629413777e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.9041411254491191 y[1] (numeric) = 0.9041411254491186 absolute error = 4.440892098500626e-16 relative error = 4.911724479178709e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.9041321332851187 y[1] (numeric) = 0.9041321332851182 absolute error = 4.440892098500626e-16 relative error = 4.911773329374843e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.904123141220609 y[1] (numeric) = 0.9041231412206086 absolute error = 4.440892098500626e-16 relative error = 4.911822180002175e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.90411414925559 y[1] (numeric) = 0.9041141492555895 absolute error = 4.440892098500626e-16 relative error = 4.911871031060704e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.9041051573900616 y[1] (numeric) = 0.9041051573900611 absolute error = 4.440892098500626e-16 relative error = 4.911919882550427e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.9040961656240237 y[1] (numeric) = 0.9040961656240233 absolute error = 4.440892098500626e-16 relative error = 4.911968734471339e-14 % h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sin(x) - 1,0; Iterations = 100 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Expected Time Remaining = 0 Seconds Optimized Time Remaining = 0 Seconds Time to Timeout = 1 Minutes 0 Seconds Percent Done = 0.02061 %