##############ECHO OF PROBLEM################# ##############temp/sub_sin_cospostode.ode################# diff ( y , x , 1 ) = m1 * sin(x) - cos(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(cos(x) - sin(x)) ; } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.8951707486311976 y[1] (numeric) = 0.8951707486311976 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) = 0.8951598002106199 y[1] (numeric) = 0.89515980021062 absolute error = 1.110223024625157e-16 relative error = 1.240251209185148e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.8951488517005264 y[1] (numeric) = 0.8951488517005265 absolute error = 1.110223024625157e-16 relative error = 1.240266378620774e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.895137903100918 y[1] (numeric) = 0.895137903100918 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) = 0.8951269544117958 y[1] (numeric) = 0.8951269544117958 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.8951160056331607 y[1] (numeric) = 0.8951160056331608 absolute error = 1.110223024625157e-16 relative error = 1.240311889898382e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.8951050567650142 y[1] (numeric) = 0.8951050567650143 absolute error = 1.110223024625157e-16 relative error = 1.240327061314565e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.8950941078073572 y[1] (numeric) = 0.8950941078073572 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.8950831587601906 y[1] (numeric) = 0.8950831587601907 absolute error = 1.110223024625157e-16 relative error = 1.240357405632526e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.8950722096235159 y[1] (numeric) = 0.895072209623516 absolute error = 1.110223024625157e-16 relative error = 1.240372578534348e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.8950612603973339 y[1] (numeric) = 0.8950612603973339 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.8950503110816458 y[1] (numeric) = 0.8950503110816458 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.8950393616764526 y[1] (numeric) = 0.8950393616764526 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.8950284121817556 y[1] (numeric) = 0.8950284121817554 absolute error = 1.110223024625157e-16 relative error = 1.240433275094401e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.8950174625975557 y[1] (numeric) = 0.8950174625975555 absolute error = 1.110223024625157e-16 relative error = 1.240448450472712e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.8950065129238539 y[1] (numeric) = 0.8950065129238538 absolute error = 1.110223024625157e-16 relative error = 1.240463626346385e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.8949955631606515 y[1] (numeric) = 0.8949955631606514 absolute error = 1.110223024625157e-16 relative error = 1.240478802715441e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.8949846133079497 y[1] (numeric) = 0.8949846133079495 absolute error = 1.110223024625157e-16 relative error = 1.2404939795799e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.8949736633657494 y[1] (numeric) = 0.8949736633657491 absolute error = 2.220446049250313e-16 relative error = 2.48101831387957e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.8949627133340515 y[1] (numeric) = 0.8949627133340514 absolute error = 1.110223024625157e-16 relative error = 1.240524334795116e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.8949517632128576 y[1] (numeric) = 0.8949517632128574 absolute error = 2.220446049250313e-16 relative error = 2.48107902629183e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.8949408130021684 y[1] (numeric) = 0.8949408130021682 absolute error = 2.220446049250313e-16 relative error = 2.481109383984405e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.8949298627019852 y[1] (numeric) = 0.8949298627019849 absolute error = 2.220446049250313e-16 relative error = 2.481139742668001e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.8949189123123089 y[1] (numeric) = 0.8949189123123087 absolute error = 2.220446049250313e-16 relative error = 2.481170102342659e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.8949079618331408 y[1] (numeric) = 0.8949079618331406 absolute error = 2.220446049250313e-16 relative error = 2.481200463008423e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.894897011264482 y[1] (numeric) = 0.8948970112644816 absolute error = 3.33066907387547e-16 relative error = 3.721846236998001e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.8948860606063332 y[1] (numeric) = 0.894886060606333 absolute error = 2.220446049250313e-16 relative error = 2.481261187313435e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.894875109858696 y[1] (numeric) = 0.8948751098586958 absolute error = 2.220446049250313e-16 relative error = 2.481291550952769e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.8948641590215713 y[1] (numeric) = 0.894864159021571 absolute error = 3.33066907387547e-16 relative error = 3.721982873375066e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.8948532080949602 y[1] (numeric) = 0.8948532080949598 absolute error = 3.33066907387547e-16 relative error = 3.722028421807955e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.8948422570788637 y[1] (numeric) = 0.8948422570788633 absolute error = 3.33066907387547e-16 relative error = 3.722073971727883e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.8948313059732829 y[1] (numeric) = 0.8948313059732826 absolute error = 2.220446049250313e-16 relative error = 2.481413015423277e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.8948203547782191 y[1] (numeric) = 0.8948203547782188 absolute error = 3.33066907387547e-16 relative error = 3.722165076029115e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.8948094034936732 y[1] (numeric) = 0.8948094034936729 absolute error = 3.33066907387547e-16 relative error = 3.722210630410545e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.8947984521196465 y[1] (numeric) = 0.894798452119646 absolute error = 4.440892098500626e-16 relative error = 4.96300824837236e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.8947875006561399 y[1] (numeric) = 0.8947875006561393 absolute error = 5.551115123125783e-16 relative error = 6.203836239392256e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.8947765491031544 y[1] (numeric) = 0.894776549103154 absolute error = 4.440892098500626e-16 relative error = 4.963129736638479e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.8947655974606914 y[1] (numeric) = 0.8947655974606908 absolute error = 5.551115123125783e-16 relative error = 6.203988104683084e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.8947546457287517 y[1] (numeric) = 0.8947546457287512 absolute error = 5.551115123125783e-16 relative error = 6.20406404104732e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.8947436939073367 y[1] (numeric) = 0.8947436939073361 absolute error = 5.551115123125783e-16 relative error = 6.20413997989091e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.8947327419964471 y[1] (numeric) = 0.8947327419964466 absolute error = 5.551115123125783e-16 relative error = 6.204215921213963e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.8947217899960844 y[1] (numeric) = 0.8947217899960839 absolute error = 5.551115123125783e-16 relative error = 6.204291865016584e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.8947108379062495 y[1] (numeric) = 0.8947108379062489 absolute error = 5.551115123125783e-16 relative error = 6.204367811298879e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.8946998857269436 y[1] (numeric) = 0.8946998857269429 absolute error = 6.661338147750939e-16 relative error = 7.445332512073144e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.8946889334581675 y[1] (numeric) = 0.8946889334581669 absolute error = 5.551115123125783e-16 relative error = 6.204519711302915e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.8946779810999227 y[1] (numeric) = 0.894677981099922 absolute error = 6.661338147750939e-16 relative error = 7.445514798029844e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.89466702865221 y[1] (numeric) = 0.8946670286522094 absolute error = 6.661338147750939e-16 relative error = 7.445605945472308e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.8946560761150306 y[1] (numeric) = 0.89465607611503 absolute error = 6.661338147750939e-16 relative error = 7.445697095891021e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.8946451234883857 y[1] (numeric) = 0.894645123488385 absolute error = 6.661338147750939e-16 relative error = 7.445788249286107e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.8946341707722762 y[1] (numeric) = 0.8946341707722755 absolute error = 7.771561172376096e-16 relative error = 8.686859306600642e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.8946232179667033 y[1] (numeric) = 0.8946232179667025 absolute error = 7.771561172376096e-16 relative error = 8.686965659173562e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.894612265071668 y[1] (numeric) = 0.8946122650716672 absolute error = 7.771561172376096e-16 relative error = 8.687072015219364e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.8946013120871716 y[1] (numeric) = 0.8946013120871708 absolute error = 8.881784197001252e-16 relative error = 9.928203856843655e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.8945903590132149 y[1] (numeric) = 0.8945903590132142 absolute error = 7.771561172376096e-16 relative error = 8.687284737730215e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.8945794058497993 y[1] (numeric) = 0.8945794058497986 absolute error = 7.771561172376096e-16 relative error = 8.68739110419556e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.8945684525969257 y[1] (numeric) = 0.894568452596925 absolute error = 7.771561172376096e-16 relative error = 8.687497474134382e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.8945574992545954 y[1] (numeric) = 0.8945574992545946 absolute error = 7.771561172376096e-16 relative error = 8.687603847546833e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.8945465458228092 y[1] (numeric) = 0.8945465458228085 absolute error = 7.771561172376096e-16 relative error = 8.687710224433059e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.8945355923015684 y[1] (numeric) = 0.8945355923015677 absolute error = 7.771561172376096e-16 relative error = 8.68781660479321e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.894524638690874 y[1] (numeric) = 0.8945246386908733 absolute error = 6.661338147750939e-16 relative error = 7.446791133109232e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.8945136849907273 y[1] (numeric) = 0.8945136849907265 absolute error = 7.771561172376096e-16 relative error = 8.688029375935884e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.894502731201129 y[1] (numeric) = 0.8945027312011282 absolute error = 7.771561172376096e-16 relative error = 8.688135766718704e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.8944917773220805 y[1] (numeric) = 0.8944917773220797 absolute error = 7.771561172376096e-16 relative error = 8.688242160976044e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.8944808233535828 y[1] (numeric) = 0.894480823353582 absolute error = 7.771561172376096e-16 relative error = 8.688348558708055e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.8944698692956371 y[1] (numeric) = 0.8944698692956363 absolute error = 7.771561172376096e-16 relative error = 8.688454959914883e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.8944589151482444 y[1] (numeric) = 0.8944589151482436 absolute error = 7.771561172376096e-16 relative error = 8.688561364596679e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.8944479609114058 y[1] (numeric) = 0.894447960911405 absolute error = 7.771561172376096e-16 relative error = 8.688667772753591e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.8944370065851224 y[1] (numeric) = 0.8944370065851216 absolute error = 7.771561172376096e-16 relative error = 8.688774184385769e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.8944260521693952 y[1] (numeric) = 0.8944260521693945 absolute error = 6.661338147750939e-16 relative error = 7.447611942422882e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.8944150976642256 y[1] (numeric) = 0.8944150976642248 absolute error = 7.771561172376096e-16 relative error = 8.688987018076517e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.8944041430696142 y[1] (numeric) = 0.8944041430696136 absolute error = 6.661338147750939e-16 relative error = 7.447794377258901e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.8943931883855626 y[1] (numeric) = 0.8943931883855619 absolute error = 6.661338147750939e-16 relative error = 7.447885599145812e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.8943822336120717 y[1] (numeric) = 0.8943822336120709 absolute error = 7.771561172376096e-16 relative error = 8.689306294680853e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.8943712787491425 y[1] (numeric) = 0.8943712787491417 absolute error = 7.771561172376096e-16 relative error = 8.689412727167752e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.8943603237967762 y[1] (numeric) = 0.8943603237967753 absolute error = 8.881784197001252e-16 relative error = 9.930879043578238e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.8943493687549737 y[1] (numeric) = 0.894349368754973 absolute error = 7.771561172376096e-16 relative error = 8.689625602570624e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.8943384136237366 y[1] (numeric) = 0.8943384136237357 absolute error = 8.881784197001252e-16 relative error = 9.931122337699306e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.8943274584030655 y[1] (numeric) = 0.8943274584030645 absolute error = 9.992007221626409e-16 relative error = 1.11726494895599e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.8943165030929615 y[1] (numeric) = 0.8943165030929606 absolute error = 8.881784197001252e-16 relative error = 9.931365647714115e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.894305547693426 y[1] (numeric) = 0.8943055476934251 absolute error = 8.881784197001252e-16 relative error = 9.931487308682098e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.8942945922044599 y[1] (numeric) = 0.8942945922044589 absolute error = 9.992007221626409e-16 relative error = 1.117306009532703e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.8942836366260644 y[1] (numeric) = 0.8942836366260634 absolute error = 9.992007221626409e-16 relative error = 1.117319697285758e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.8942726809582404 y[1] (numeric) = 0.8942726809582394 absolute error = 9.992007221626409e-16 relative error = 1.11733338548592e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.8942617252009893 y[1] (numeric) = 0.8942617252009882 absolute error = 1.110223024625157e-15 relative error = 1.241496749036898e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.8942507693543119 y[1] (numeric) = 0.8942507693543109 absolute error = 9.992007221626409e-16 relative error = 1.117360763227643e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.8942398134182096 y[1] (numeric) = 0.8942398134182085 absolute error = 1.110223024625157e-15 relative error = 1.241527169743602e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.8942288573926832 y[1] (numeric) = 0.8942288573926821 absolute error = 1.110223024625157e-15 relative error = 1.24154238084225e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.8942179012777339 y[1] (numeric) = 0.8942179012777328 absolute error = 1.110223024625157e-15 relative error = 1.24155759243779e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.8942069450733627 y[1] (numeric) = 0.8942069450733617 absolute error = 9.992007221626409e-16 relative error = 1.117415524077219e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.8941959887795711 y[1] (numeric) = 0.89419598877957 absolute error = 1.110223024625157e-15 relative error = 1.241588017119632e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.8941850323963596 y[1] (numeric) = 0.8941850323963586 absolute error = 9.992007221626409e-16 relative error = 1.11744290718538e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.8941740759237298 y[1] (numeric) = 0.8941740759237288 absolute error = 9.992007221626409e-16 relative error = 1.11745659941037e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.8941631193616825 y[1] (numeric) = 0.8941631193616815 absolute error = 9.992007221626409e-16 relative error = 1.117470292082659e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.8941521627102189 y[1] (numeric) = 0.8941521627102179 absolute error = 9.992007221626409e-16 relative error = 1.117483985202267e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.8941412059693401 y[1] (numeric) = 0.8941412059693391 absolute error = 9.992007221626409e-16 relative error = 1.117497678769211e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.8941302491390472 y[1] (numeric) = 0.8941302491390462 absolute error = 9.992007221626409e-16 relative error = 1.117511372783513e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.8941192922193413 y[1] (numeric) = 0.8941192922193402 absolute error = 1.110223024625157e-15 relative error = 1.241694519161322e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.8941083352102234 y[1] (numeric) = 0.8941083352102223 absolute error = 1.110223024625157e-15 relative error = 1.241709735726958e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.8940973781116947 y[1] (numeric) = 0.8940973781116935 absolute error = 1.110223024625157e-15 relative error = 1.24172495278972e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.8940864209237562 y[1] (numeric) = 0.8940864209237551 absolute error = 1.110223024625157e-15 relative error = 1.241740170349631e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.8940754636464091 y[1] (numeric) = 0.894075463646408 absolute error = 1.110223024625157e-15 relative error = 1.241755388406711e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = m1 * sin(x) - cos(x); Iterations = 100 Total Elapsed Time = 15 Seconds Elapsed Time(since restart) = 15 Seconds Expected Time Remaining = 20 Hours 12 Minutes 37 Seconds Optimized Time Remaining = 18 Hours 51 Minutes 46 Seconds Time to Timeout = 45 Seconds Percent Done = 0.02061 %