##############ECHO OF PROBLEM################# ##############temp/sub_c_sinpostode.ode################# diff ( y , x , 1 ) = 1.0 - 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(2.0 + cos(x) + x); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 3.095004165278026 y[1] (numeric) = 3.095004165278026 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) = 3.095013166894109 y[1] (numeric) = 3.095013166894109 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) = 3.095022168410692 y[1] (numeric) = 3.095022168410692 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) = 3.095031169827775 y[1] (numeric) = 3.095031169827775 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 3.095040171145357 y[1] (numeric) = 3.095040171145358 absolute error = 4.440892098500626e-16 relative error = 1.434841505419692e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 3.09504917236344 y[1] (numeric) = 3.095049172363441 absolute error = 4.440892098500626e-16 relative error = 1.434837332522725e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 3.095058173482023 y[1] (numeric) = 3.095058173482024 absolute error = 8.881784197001252e-16 relative error = 2.869666319392313e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 3.095067174501106 y[1] (numeric) = 3.095067174501107 absolute error = 8.881784197001252e-16 relative error = 2.869657973879972e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 3.095076175420689 y[1] (numeric) = 3.09507617542069 absolute error = 4.440892098500626e-16 relative error = 1.434824814254212e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 3.095085176240773 y[1] (numeric) = 3.095085176240773 absolute error = 4.440892098500626e-16 relative error = 1.434820641638833e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 3.095094176961357 y[1] (numeric) = 3.095094176961357 absolute error = 4.440892098500626e-16 relative error = 1.434816469093849e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 3.095103177582442 y[1] (numeric) = 3.095103177582442 absolute error = 4.440892098500626e-16 relative error = 1.434812296619258e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 3.095112178104027 y[1] (numeric) = 3.095112178104027 absolute error = 4.440892098500626e-16 relative error = 1.434808124215059e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 3.095121178526113 y[1] (numeric) = 3.095121178526114 absolute error = 8.881784197001252e-16 relative error = 2.869607903762505e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 3.0951301788487 y[1] (numeric) = 3.095130178848701 absolute error = 8.881784197001252e-16 relative error = 2.869599559235671e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 3.095139179071788 y[1] (numeric) = 3.095139179071789 absolute error = 8.881784197001252e-16 relative error = 2.869591214849615e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 3.095148179195377 y[1] (numeric) = 3.095148179195378 absolute error = 8.881784197001252e-16 relative error = 2.869582870604335e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 3.095157179219467 y[1] (numeric) = 3.095157179219469 absolute error = 1.332267629550188e-15 relative error = 4.304361789749745e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 3.095166179144059 y[1] (numeric) = 3.09516617914406 absolute error = 8.881784197001252e-16 relative error = 2.869566182536096e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 3.095175178969152 y[1] (numeric) = 3.095175178969153 absolute error = 8.881784197001252e-16 relative error = 2.869557838713133e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 3.095184178694746 y[1] (numeric) = 3.095184178694747 absolute error = 8.881784197001252e-16 relative error = 2.869549495030936e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 3.095193178320842 y[1] (numeric) = 3.095193178320843 absolute error = 8.881784197001252e-16 relative error = 2.869541151489506e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 3.09520217784744 y[1] (numeric) = 3.095202177847441 absolute error = 8.881784197001252e-16 relative error = 2.869532808088839e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 3.095211177274539 y[1] (numeric) = 3.09521117727454 absolute error = 8.881784197001252e-16 relative error = 2.869524464828932e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 3.095220176602141 y[1] (numeric) = 3.095220176602142 absolute error = 8.881784197001252e-16 relative error = 2.869516121709785e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 3.095229175830244 y[1] (numeric) = 3.095229175830245 absolute error = 8.881784197001252e-16 relative error = 2.869507778731396e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 3.095238174958849 y[1] (numeric) = 3.09523817495885 absolute error = 8.881784197001252e-16 relative error = 2.869499435893761e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 3.095247173987957 y[1] (numeric) = 3.095247173987958 absolute error = 8.881784197001252e-16 relative error = 2.869491093196879e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 3.095256172917567 y[1] (numeric) = 3.095256172917568 absolute error = 8.881784197001252e-16 relative error = 2.869482750640747e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 3.095265171747679 y[1] (numeric) = 3.09526517174768 absolute error = 8.881784197001252e-16 relative error = 2.869474408225364e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 3.095274170478294 y[1] (numeric) = 3.095274170478295 absolute error = 1.332267629550188e-15 relative error = 4.304199098926092e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 3.095283169109411 y[1] (numeric) = 3.095283169109412 absolute error = 8.881784197001252e-16 relative error = 2.869457723816836e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 3.095292167641031 y[1] (numeric) = 3.095292167641032 absolute error = 8.881784197001252e-16 relative error = 2.869449381823686e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 3.095301166073154 y[1] (numeric) = 3.095301166073155 absolute error = 8.881784197001252e-16 relative error = 2.869441039971276e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 3.09531016440578 y[1] (numeric) = 3.095310164405781 absolute error = 8.881784197001252e-16 relative error = 2.869432698259603e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 3.095319162638908 y[1] (numeric) = 3.095319162638909 absolute error = 1.332267629550188e-15 relative error = 4.304136535033e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 3.09532816077254 y[1] (numeric) = 3.095328160772541 absolute error = 8.881784197001252e-16 relative error = 2.869416015258464e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 3.095337158806675 y[1] (numeric) = 3.095337158806676 absolute error = 1.332267629550188e-15 relative error = 4.30411151095349e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 3.095346156741313 y[1] (numeric) = 3.095346156741314 absolute error = 1.332267629550188e-15 relative error = 4.304098999230377e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 3.095355154576454 y[1] (numeric) = 3.095355154576456 absolute error = 1.332267629550188e-15 relative error = 4.304086487718355e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 3.0953641523121 y[1] (numeric) = 3.095364152312101 absolute error = 8.881784197001252e-16 relative error = 2.869382650944947e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 3.095373149948248 y[1] (numeric) = 3.095373149948249 absolute error = 8.881784197001252e-16 relative error = 2.869374310218381e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 3.095382147484901 y[1] (numeric) = 3.095382147484901 absolute error = 8.881784197001252e-16 relative error = 2.869365969632536e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 3.095391144922057 y[1] (numeric) = 3.095391144922058 absolute error = 8.881784197001252e-16 relative error = 2.869357629187409e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 3.095400142259717 y[1] (numeric) = 3.095400142259717 absolute error = 8.881784197001252e-16 relative error = 2.869349288882999e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 3.095409139497881 y[1] (numeric) = 3.095409139497881 absolute error = 4.440892098500626e-16 relative error = 1.434670474359652e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 3.095418136636549 y[1] (numeric) = 3.095418136636549 absolute error = 4.440892098500626e-16 relative error = 1.43466630434816e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 3.095427133675721 y[1] (numeric) = 3.095427133675722 absolute error = 4.440892098500626e-16 relative error = 1.434662134407024e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 3.095436130615397 y[1] (numeric) = 3.095436130615398 absolute error = 4.440892098500626e-16 relative error = 1.434657964536242e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 3.095445127455579 y[1] (numeric) = 3.095445127455579 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 3.095454124196264 y[1] (numeric) = 3.095454124196264 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 3.095463120837454 y[1] (numeric) = 3.095463120837454 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 3.095472117379149 y[1] (numeric) = 3.095472117379149 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 3.095481113821348 y[1] (numeric) = 3.095481113821348 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 3.095490110164052 y[1] (numeric) = 3.095490110164053 absolute error = 4.440892098500626e-16 relative error = 1.434632946788924e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 3.095499106407262 y[1] (numeric) = 3.095499106407262 absolute error = 4.440892098500626e-16 relative error = 1.434628777410591e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 3.095508102550976 y[1] (numeric) = 3.095508102550977 absolute error = 4.440892098500626e-16 relative error = 1.434624608102603e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 3.095517098595196 y[1] (numeric) = 3.095517098595197 absolute error = 4.440892098500626e-16 relative error = 1.434620438864959e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 3.095526094539921 y[1] (numeric) = 3.095526094539922 absolute error = 8.881784197001252e-16 relative error = 2.869232539395319e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 3.095535090385151 y[1] (numeric) = 3.095535090385152 absolute error = 8.881784197001252e-16 relative error = 2.869224201201404e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 3.095544086130887 y[1] (numeric) = 3.095544086130888 absolute error = 8.881784197001252e-16 relative error = 2.869215863148172e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 3.095553081777128 y[1] (numeric) = 3.095553081777129 absolute error = 8.881784197001252e-16 relative error = 2.86920752523562e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 3.095562077323875 y[1] (numeric) = 3.095562077323876 absolute error = 8.881784197001252e-16 relative error = 2.869199187463747e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 3.095571072771128 y[1] (numeric) = 3.095571072771129 absolute error = 8.881784197001252e-16 relative error = 2.86919084983255e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 3.095580068118887 y[1] (numeric) = 3.095580068118888 absolute error = 4.440892098500626e-16 relative error = 1.434591256171013e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 3.095589063367152 y[1] (numeric) = 3.095589063367153 absolute error = 8.881784197001252e-16 relative error = 2.869174174992176e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 3.095598058515923 y[1] (numeric) = 3.095598058515924 absolute error = 4.440892098500626e-16 relative error = 1.434582918891498e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 3.0956070535652 y[1] (numeric) = 3.0956070535652 absolute error = 4.440892098500626e-16 relative error = 1.434578750357241e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 3.095616048514983 y[1] (numeric) = 3.095616048514984 absolute error = 4.440892098500626e-16 relative error = 1.434574581893318e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 3.095625043365273 y[1] (numeric) = 3.095625043365274 absolute error = 4.440892098500626e-16 relative error = 1.434570413499726e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 3.095634038116069 y[1] (numeric) = 3.09563403811607 absolute error = 4.440892098500626e-16 relative error = 1.434566245176464e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 3.095643032767372 y[1] (numeric) = 3.095643032767373 absolute error = 4.440892098500626e-16 relative error = 1.434562076923533e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 3.095652027319182 y[1] (numeric) = 3.095652027319182 absolute error = 4.440892098500626e-16 relative error = 1.43455790874093e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 3.095661021771498 y[1] (numeric) = 3.095661021771499 absolute error = 4.440892098500626e-16 relative error = 1.434553740628655e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 3.095670016124321 y[1] (numeric) = 3.095670016124322 absolute error = 8.881784197001252e-16 relative error = 2.869099145173412e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 3.095679010377652 y[1] (numeric) = 3.095679010377652 absolute error = 4.440892098500626e-16 relative error = 1.434545404615082e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 3.095688004531489 y[1] (numeric) = 3.095688004531489 absolute error = 4.440892098500626e-16 relative error = 1.434541236713783e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 3.095696998585833 y[1] (numeric) = 3.095696998585834 absolute error = 4.440892098500626e-16 relative error = 1.434537068882808e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 3.095705992540685 y[1] (numeric) = 3.095705992540686 absolute error = 4.440892098500626e-16 relative error = 1.434532901122154e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 3.095714986396044 y[1] (numeric) = 3.095714986396045 absolute error = 4.440892098500626e-16 relative error = 1.434528733431821e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 3.095723980151911 y[1] (numeric) = 3.095723980151912 absolute error = 4.440892098500626e-16 relative error = 1.434524565811809e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 3.095732973808285 y[1] (numeric) = 3.095732973808286 absolute error = 4.440892098500626e-16 relative error = 1.434520398262116e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 3.095741967365168 y[1] (numeric) = 3.095741967365168 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 3.095750960822557 y[1] (numeric) = 3.095750960822558 absolute error = 4.440892098500626e-16 relative error = 1.434512063373682e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 3.095759954180455 y[1] (numeric) = 3.095759954180456 absolute error = 4.440892098500626e-16 relative error = 1.43450789603494e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 3.095768947438861 y[1] (numeric) = 3.095768947438862 absolute error = 8.881784197001252e-16 relative error = 2.869007457533024e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 3.095777940597775 y[1] (numeric) = 3.095777940597776 absolute error = 8.881784197001252e-16 relative error = 2.868999123136796e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 3.095786933657197 y[1] (numeric) = 3.095786933657198 absolute error = 8.881784197001252e-16 relative error = 2.868990788881194e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 3.095795926617127 y[1] (numeric) = 3.095795926617128 absolute error = 8.881784197001252e-16 relative error = 2.868982454766214e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 3.095804919477566 y[1] (numeric) = 3.095804919477567 absolute error = 1.332267629550188e-15 relative error = 4.303461181187784e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 3.095813912238513 y[1] (numeric) = 3.095813912238515 absolute error = 1.332267629550188e-15 relative error = 4.303448680437175e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 3.095822904899969 y[1] (numeric) = 3.095822904899971 absolute error = 1.332267629550188e-15 relative error = 4.303436179897491e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 3.095831897461934 y[1] (numeric) = 3.095831897461935 absolute error = 1.332267629550188e-15 relative error = 4.303423679568731e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 3.095840889924407 y[1] (numeric) = 3.095840889924408 absolute error = 8.881784197001252e-16 relative error = 2.868940786300592e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 3.09584988228739 y[1] (numeric) = 3.095849882287391 absolute error = 8.881784197001252e-16 relative error = 2.868932453029307e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 3.095858874550881 y[1] (numeric) = 3.095858874550882 absolute error = 8.881784197001252e-16 relative error = 2.868924119898631e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 3.095867866714881 y[1] (numeric) = 3.095867866714882 absolute error = 8.881784197001252e-16 relative error = 2.868915786908561e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 3.095876858779391 y[1] (numeric) = 3.095876858779392 absolute error = 8.881784197001252e-16 relative error = 2.868907454059095e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 3.09588585074441 y[1] (numeric) = 3.095885850744411 absolute error = 8.881784197001252e-16 relative error = 2.868899121350231e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 3.095894842609938 y[1] (numeric) = 3.09589484260994 absolute error = 1.332267629550188e-15 relative error = 4.303336183172952e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 3.095903834375976 y[1] (numeric) = 3.095903834375977 absolute error = 1.332267629550188e-15 relative error = 4.303323684531453e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = 1.0 - sin(x); Iterations = 100 Total Elapsed Time = 10 Seconds Elapsed Time(since restart) = 10 Seconds Expected Time Remaining = 13 Hours 28 Minutes 24 Seconds Optimized Time Remaining = 13 Hours 28 Minutes 24 Seconds Time to Timeout = 50 Seconds Percent Done = 0.02061 %