##############ECHO OF PROBLEM################# ##############temp/add_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) = 1.104995834721974 y[1] (numeric) = 1.104995834721974 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 1.105006833105891 y[1] (numeric) = 1.105006833105891 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 1.105017831589308 y[1] (numeric) = 1.105017831589308 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 1.105028830172225 y[1] (numeric) = 1.105028830172225 absolute error = 2.220446049250313e-16 relative error = 2.009401011649844e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 1.105039828854642 y[1] (numeric) = 1.105039828854642 absolute error = 2.220446049250313e-16 relative error = 2.009381011679708e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 1.10505082763656 y[1] (numeric) = 1.105050827636559 absolute error = 2.220446049250313e-16 relative error = 2.009361011926771e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 1.105061826517977 y[1] (numeric) = 1.105061826517977 absolute error = 4.440892098500626e-16 relative error = 4.01868202478206e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 1.105072825498894 y[1] (numeric) = 1.105072825498894 absolute error = 2.220446049250313e-16 relative error = 2.009321013072487e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 1.105083824579311 y[1] (numeric) = 1.10508382457931 absolute error = 4.440892098500626e-16 relative error = 4.018602027942277e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 1.105094823759227 y[1] (numeric) = 1.105094823759227 absolute error = 2.220446049250313e-16 relative error = 2.009281015086985e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 1.105105823038643 y[1] (numeric) = 1.105105823038643 absolute error = 2.220446049250313e-16 relative error = 2.009261016420026e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 1.105116822417558 y[1] (numeric) = 1.105116822417558 absolute error = 4.440892098500626e-16 relative error = 4.018482035940518e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 1.105127821895973 y[1] (numeric) = 1.105127821895973 absolute error = 4.440892098500626e-16 relative error = 4.018442039475369e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 1.105138821473887 y[1] (numeric) = 1.105138821473886 absolute error = 4.440892098500626e-16 relative error = 4.018402043444602e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 1.1051498211513 y[1] (numeric) = 1.105149821151299 absolute error = 4.440892098500626e-16 relative error = 4.018362047848215e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 1.105160820928212 y[1] (numeric) = 1.105160820928211 absolute error = 4.440892098500626e-16 relative error = 4.018322052686207e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 1.105171820804623 y[1] (numeric) = 1.105171820804622 absolute error = 6.661338147750939e-16 relative error = 6.027423086937864e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 1.105182820780533 y[1] (numeric) = 1.105182820780532 absolute error = 6.661338147750939e-16 relative error = 6.02736309549798e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 1.105193820855941 y[1] (numeric) = 1.10519382085594 absolute error = 6.661338147750939e-16 relative error = 6.027303104709654e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 1.105204821030848 y[1] (numeric) = 1.105204821030848 absolute error = 4.440892098500626e-16 relative error = 4.018162076381925e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 1.105215821305254 y[1] (numeric) = 1.105215821305253 absolute error = 4.440892098500626e-16 relative error = 4.018122083391783e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 1.105226821679158 y[1] (numeric) = 1.105226821679157 absolute error = 4.440892098500626e-16 relative error = 4.018082090836009e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 1.10523782215256 y[1] (numeric) = 1.10523782215256 absolute error = 4.440892098500626e-16 relative error = 4.0180420987146e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 1.10524882272546 y[1] (numeric) = 1.10524882272546 absolute error = 2.220446049250313e-16 relative error = 2.009001053513778e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 1.105259823397859 y[1] (numeric) = 1.105259823397859 absolute error = 4.440892098500626e-16 relative error = 4.017962115774874e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 1.105270824169756 y[1] (numeric) = 1.105270824169756 absolute error = 2.220446049250313e-16 relative error = 2.008961062478277e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 1.10528182504115 y[1] (numeric) = 1.10528182504115 absolute error = 4.440892098500626e-16 relative error = 4.017882134572591e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 1.105292826012043 y[1] (numeric) = 1.105292826012042 absolute error = 4.440892098500626e-16 relative error = 4.017842144622985e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 1.105303827082433 y[1] (numeric) = 1.105303827082433 absolute error = 2.220446049250313e-16 relative error = 2.008901077553867e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 1.105314828252321 y[1] (numeric) = 1.10531482825232 absolute error = 4.440892098500626e-16 relative error = 4.017762166026837e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 1.105325829521706 y[1] (numeric) = 1.105325829521706 absolute error = 4.440892098500626e-16 relative error = 4.017722177380291e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 1.105336830890589 y[1] (numeric) = 1.105336830890588 absolute error = 2.220446049250313e-16 relative error = 2.008841094584048e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 1.105347832358969 y[1] (numeric) = 1.105347832358968 absolute error = 2.220446049250313e-16 relative error = 2.008821100695124e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 1.105358833926846 y[1] (numeric) = 1.105358833926846 absolute error = 2.220446049250313e-16 relative error = 2.008801107023373e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 1.10536983559422 y[1] (numeric) = 1.10536983559422 absolute error = 2.220446049250313e-16 relative error = 2.008781113568794e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 1.105380837361092 y[1] (numeric) = 1.105380837361091 absolute error = 2.220446049250313e-16 relative error = 2.008761120331387e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 1.10539183922746 y[1] (numeric) = 1.10539183922746 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 1.105402841193325 y[1] (numeric) = 1.105402841193325 absolute error = 2.220446049250313e-16 relative error = 2.008721134508082e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 1.105413843258687 y[1] (numeric) = 1.105413843258687 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 1.105424845423545 y[1] (numeric) = 1.105424845423545 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 1.1054358476879 y[1] (numeric) = 1.1054358476879 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 1.105446850051751 y[1] (numeric) = 1.105446850051751 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 1.105457852515099 y[1] (numeric) = 1.105457852515099 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 1.105468855077943 y[1] (numeric) = 1.105468855077943 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 1.105479857740283 y[1] (numeric) = 1.105479857740283 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 1.105490860502119 y[1] (numeric) = 1.105490860502119 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 1.105501863363451 y[1] (numeric) = 1.105501863363451 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 1.105512866324279 y[1] (numeric) = 1.105512866324279 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 1.105523869384602 y[1] (numeric) = 1.105523869384602 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 1.105534872544421 y[1] (numeric) = 1.105534872544421 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 1.105545875803736 y[1] (numeric) = 1.105545875803736 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 1.105556879162546 y[1] (numeric) = 1.105556879162546 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 1.105567882620851 y[1] (numeric) = 1.105567882620851 absolute error = 2.220446049250313e-16 relative error = 2.008421268521785e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 1.105578886178652 y[1] (numeric) = 1.105578886178652 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 1.105589889835947 y[1] (numeric) = 1.105589889835947 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 1.105600893592738 y[1] (numeric) = 1.105600893592738 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 1.105611897449023 y[1] (numeric) = 1.105611897449023 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 1.105622901404804 y[1] (numeric) = 1.105622901404804 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 1.105633905460079 y[1] (numeric) = 1.105633905460079 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 1.105644909614848 y[1] (numeric) = 1.105644909614848 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 1.105655913869112 y[1] (numeric) = 1.105655913869112 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 1.105666918222871 y[1] (numeric) = 1.105666918222871 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 1.105677922676124 y[1] (numeric) = 1.105677922676124 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 1.105688927228871 y[1] (numeric) = 1.105688927228871 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 1.105699931881112 y[1] (numeric) = 1.105699931881112 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 1.105710936632847 y[1] (numeric) = 1.105710936632847 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 1.105721941484077 y[1] (numeric) = 1.105721941484077 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 1.1057329464348 y[1] (numeric) = 1.1057329464348 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 1.105743951485016 y[1] (numeric) = 1.105743951485016 absolute error = 2.220446049250313e-16 relative error = 2.008101465324093e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 1.105754956634726 y[1] (numeric) = 1.105754956634726 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 1.10576596188393 y[1] (numeric) = 1.10576596188393 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 1.105776967232627 y[1] (numeric) = 1.105776967232627 absolute error = 2.220446049250313e-16 relative error = 2.008041508413141e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 1.105787972680818 y[1] (numeric) = 1.105787972680818 absolute error = 2.220446049250313e-16 relative error = 2.008021523210434e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 1.105798978228501 y[1] (numeric) = 1.105798978228502 absolute error = 2.220446049250313e-16 relative error = 2.008001538224863e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 1.105809983875678 y[1] (numeric) = 1.105809983875678 absolute error = 2.220446049250313e-16 relative error = 2.007981553456429e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 1.105820989622348 y[1] (numeric) = 1.105820989622348 absolute error = 2.220446049250313e-16 relative error = 2.00796156890513e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 1.105831995468511 y[1] (numeric) = 1.105831995468511 absolute error = 2.220446049250313e-16 relative error = 2.007941584570965e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 1.105843001414166 y[1] (numeric) = 1.105843001414166 absolute error = 2.220446049250313e-16 relative error = 2.007921600453933e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 1.105854007459314 y[1] (numeric) = 1.105854007459314 absolute error = 2.220446049250313e-16 relative error = 2.007901616554034e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 1.105865013603955 y[1] (numeric) = 1.105865013603955 absolute error = 2.220446049250313e-16 relative error = 2.007881632871265e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 1.105876019848088 y[1] (numeric) = 1.105876019848088 absolute error = 2.220446049250313e-16 relative error = 2.007861649405628e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 1.105887026191714 y[1] (numeric) = 1.105887026191714 absolute error = 2.220446049250313e-16 relative error = 2.00784166615712e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 1.105898032634832 y[1] (numeric) = 1.105898032634832 absolute error = 2.220446049250313e-16 relative error = 2.007821683125741e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 1.105909039177442 y[1] (numeric) = 1.105909039177442 absolute error = 2.220446049250313e-16 relative error = 2.007801700311489e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 1.105920045819544 y[1] (numeric) = 1.105920045819544 absolute error = 2.220446049250313e-16 relative error = 2.007781717714364e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 1.105931052561138 y[1] (numeric) = 1.105931052561139 absolute error = 2.220446049250313e-16 relative error = 2.007761735334366e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 1.105942059402224 y[1] (numeric) = 1.105942059402225 absolute error = 2.220446049250313e-16 relative error = 2.007741753171492e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 1.105953066342803 y[1] (numeric) = 1.105953066342803 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 1.105964073382872 y[1] (numeric) = 1.105964073382872 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 1.105975080522433 y[1] (numeric) = 1.105975080522433 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 1.105986087761486 y[1] (numeric) = 1.105986087761486 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 1.10599709510003 y[1] (numeric) = 1.10599709510003 absolute error = 2.220446049250313e-16 relative error = 2.00764184561397e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 1.106008102538065 y[1] (numeric) = 1.106008102538065 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 1.106019110075592 y[1] (numeric) = 1.106019110075592 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 1.10603011771261 y[1] (numeric) = 1.10603011771261 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 1.106041125449118 y[1] (numeric) = 1.106041125449118 absolute error = 2.220446049250313e-16 relative error = 2.00756192347611e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 1.106052133285118 y[1] (numeric) = 1.106052133285118 absolute error = 2.220446049250313e-16 relative error = 2.007541943484437e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 1.106063141220608 y[1] (numeric) = 1.106063141220608 absolute error = 2.220446049250313e-16 relative error = 2.00752196370988e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 1.106074149255589 y[1] (numeric) = 1.106074149255589 absolute error = 2.220446049250313e-16 relative error = 2.007501984152436e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 1.106085157390061 y[1] (numeric) = 1.106085157390061 absolute error = 2.220446049250313e-16 relative error = 2.007482004812106e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 1.106096165624023 y[1] (numeric) = 1.106096165624023 absolute error = 2.220446049250313e-16 relative error = 2.007462025688888e-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 %