##############ECHO OF PROBLEM################# ##############temp/subpostode.ode################# diff ( y , x , 1 ) = sin ( x ) - cos ( x ); ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.0; x_end = 10.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; // 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) - sin(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0 y[1] (analytic) = 1 y[1] (numeric) = 1 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1e-05 y[1] (analytic) = 0.9999900000500002 y[1] (numeric) = 0.9999900000500002 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 2e-05 y[1] (analytic) = 0.9999800002000013 y[1] (numeric) = 0.9999800002000013 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 3e-05 y[1] (analytic) = 0.9999700004500045 y[1] (numeric) = 0.9999700004500045 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 4e-05 y[1] (analytic) = 0.9999600008000107 y[1] (numeric) = 0.9999600008000107 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 5e-05 y[1] (analytic) = 0.999950001250021 y[1] (numeric) = 0.9999500012500209 absolute error = 1.110223024625157e-16 relative error = 1.110278537164143e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 6e-05 y[1] (analytic) = 0.9999400018000359 y[1] (numeric) = 0.9999400018000361 absolute error = 1.110223024625157e-16 relative error = 1.110289640004996e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 7.000000000000001e-05 y[1] (analytic) = 0.9999300024500571 y[1] (numeric) = 0.9999300024500573 absolute error = 1.110223024625157e-16 relative error = 1.110300742956863e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 8.000000000000001e-05 y[1] (analytic) = 0.9999200032000853 y[1] (numeric) = 0.9999200032000854 absolute error = 1.110223024625157e-16 relative error = 1.110311846019745e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 9.000000000000001e-05 y[1] (analytic) = 0.9999100040501214 y[1] (numeric) = 0.9999100040501216 absolute error = 2.220446049250313e-16 relative error = 2.220645898387283e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0001 y[1] (analytic) = 0.9999000050001666 y[1] (numeric) = 0.9999000050001668 absolute error = 2.220446049250313e-16 relative error = 2.220668104957098e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00011 y[1] (analytic) = 0.9998900060502219 y[1] (numeric) = 0.999890006050222 absolute error = 1.110223024625157e-16 relative error = 1.110345155874468e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00012 y[1] (analytic) = 0.9998800072002879 y[1] (numeric) = 0.9998800072002882 absolute error = 3.33066907387547e-16 relative error = 3.331068778144193e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00013 y[1] (analytic) = 0.9998700084503662 y[1] (numeric) = 0.9998700084503664 absolute error = 2.220446049250313e-16 relative error = 2.220734725998671e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00014 y[1] (analytic) = 0.9998600098004573 y[1] (numeric) = 0.9998600098004576 absolute error = 3.33066907387547e-16 relative error = 3.331135400184845e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00015 y[1] (analytic) = 0.9998500112505625 y[1] (numeric) = 0.9998500112505628 absolute error = 3.33066907387547e-16 relative error = 3.331168711704703e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00016 y[1] (analytic) = 0.9998400128006826 y[1] (numeric) = 0.999840012800683 absolute error = 4.440892098500626e-16 relative error = 4.441602698076772e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00017 y[1] (analytic) = 0.9998300144508186 y[1] (numeric) = 0.9998300144508192 absolute error = 5.551115123125783e-16 relative error = 5.55205889290578e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00018 y[1] (analytic) = 0.9998200162009721 y[1] (numeric) = 0.9998200162009724 absolute error = 3.33066907387547e-16 relative error = 3.331268648262366e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00019 y[1] (analytic) = 0.9998100180511431 y[1] (numeric) = 0.9998100180511436 absolute error = 4.440892098500626e-16 relative error = 4.441735948152364e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002 y[1] (analytic) = 0.9998000200013332 y[1] (numeric) = 0.9998000200013337 absolute error = 5.551115123125783e-16 relative error = 5.552225457165304e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00021 y[1] (analytic) = 0.9997900220515433 y[1] (numeric) = 0.9997900220515439 absolute error = 5.551115123125783e-16 relative error = 5.552280979695154e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00022 y[1] (analytic) = 0.9997800242017747 y[1] (numeric) = 0.999780024201775 absolute error = 3.33066907387547e-16 relative error = 3.331401901667999e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00023 y[1] (analytic) = 0.9997700264520278 y[1] (numeric) = 0.9997700264520282 absolute error = 3.33066907387547e-16 relative error = 3.331435215851898e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00024 y[1] (analytic) = 0.999760028802304 y[1] (numeric) = 0.9997600288023043 absolute error = 3.33066907387547e-16 relative error = 3.331468530368789e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00025 y[1] (analytic) = 0.9997500312526041 y[1] (numeric) = 0.9997500312526044 absolute error = 3.33066907387547e-16 relative error = 3.331501845218666e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00026 y[1] (analytic) = 0.9997400338029292 y[1] (numeric) = 0.9997400338029295 absolute error = 3.33066907387547e-16 relative error = 3.331535160401527e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002700000000000001 y[1] (analytic) = 0.9997300364532802 y[1] (numeric) = 0.9997300364532806 absolute error = 4.440892098500626e-16 relative error = 4.442091301223157e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002800000000000001 y[1] (analytic) = 0.9997200392036584 y[1] (numeric) = 0.9997200392036587 absolute error = 3.33066907387547e-16 relative error = 3.331601791766186e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002900000000000001 y[1] (analytic) = 0.9997100420540646 y[1] (numeric) = 0.9997100420540649 absolute error = 3.33066907387547e-16 relative error = 3.331635107947977e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003000000000000001 y[1] (analytic) = 0.9997000450044997 y[1] (numeric) = 0.9997000450045 absolute error = 3.33066907387547e-16 relative error = 3.331668424462738e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003100000000000002 y[1] (analytic) = 0.9996900480549648 y[1] (numeric) = 0.9996900480549652 absolute error = 4.440892098500626e-16 relative error = 4.442268988413955e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003200000000000002 y[1] (analytic) = 0.9996800512054609 y[1] (numeric) = 0.9996800512054613 absolute error = 4.440892098500626e-16 relative error = 4.442313411321544e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003300000000000002 y[1] (analytic) = 0.9996700544559889 y[1] (numeric) = 0.9996700544559894 absolute error = 5.551115123125783e-16 relative error = 5.552947293341349e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003400000000000002 y[1] (analytic) = 0.9996600578065501 y[1] (numeric) = 0.9996600578065505 absolute error = 4.440892098500626e-16 relative error = 4.442402258468557e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003500000000000003 y[1] (analytic) = 0.9996500612571452 y[1] (numeric) = 0.9996500612571456 absolute error = 4.440892098500626e-16 relative error = 4.442446682707973e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003600000000000003 y[1] (analytic) = 0.9996400648077753 y[1] (numeric) = 0.9996400648077757 absolute error = 3.33066907387547e-16 relative error = 3.331868330543491e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003700000000000003 y[1] (analytic) = 0.9996300684584414 y[1] (numeric) = 0.9996300684584417 absolute error = 3.33066907387547e-16 relative error = 3.33190164938895e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003800000000000003 y[1] (analytic) = 0.9996200722091444 y[1] (numeric) = 0.9996200722091448 absolute error = 4.440892098500626e-16 relative error = 4.442579958089803e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003900000000000004 y[1] (analytic) = 0.9996100760598855 y[1] (numeric) = 0.9996100760598859 absolute error = 4.440892098500626e-16 relative error = 4.442624384104925e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004000000000000004 y[1] (analytic) = 0.9996000800106655 y[1] (numeric) = 0.999600080010666 absolute error = 5.551115123125783e-16 relative error = 5.553336013204955e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004100000000000004 y[1] (analytic) = 0.9995900840614855 y[1] (numeric) = 0.9995900840614861 absolute error = 5.551115123125783e-16 relative error = 5.553391546833641e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004200000000000005 y[1] (analytic) = 0.9995800882123467 y[1] (numeric) = 0.9995800882123471 absolute error = 4.440892098500626e-16 relative error = 4.442757664813769e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004300000000000005 y[1] (analytic) = 0.9995700924632497 y[1] (numeric) = 0.9995700924632501 absolute error = 4.440892098500626e-16 relative error = 4.442802092604527e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004400000000000005 y[1] (analytic) = 0.9995600968141958 y[1] (numeric) = 0.9995600968141961 absolute error = 3.33066907387547e-16 relative error = 3.332134890629387e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004500000000000005 y[1] (analytic) = 0.9995501012651858 y[1] (numeric) = 0.9995501012651862 absolute error = 3.33066907387547e-16 relative error = 3.332168212138298e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004600000000000006 y[1] (analytic) = 0.9995401058162208 y[1] (numeric) = 0.9995401058162212 absolute error = 4.440892098500626e-16 relative error = 4.44293537864017e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004700000000000006 y[1] (analytic) = 0.9995301104673019 y[1] (numeric) = 0.9995301104673022 absolute error = 3.33066907387547e-16 relative error = 3.332234856154869e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004800000000000006 y[1] (analytic) = 0.9995201152184298 y[1] (numeric) = 0.9995201152184302 absolute error = 4.440892098500626e-16 relative error = 4.443024238216694e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004900000000000006 y[1] (analytic) = 0.9995101200696057 y[1] (numeric) = 0.9995101200696062 absolute error = 4.440892098500626e-16 relative error = 4.443068668670772e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005000000000000007 y[1] (analytic) = 0.9995001250208307 y[1] (numeric) = 0.9995001250208311 absolute error = 3.33066907387547e-16 relative error = 3.33233482467654e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005100000000000007 y[1] (analytic) = 0.9994901300721057 y[1] (numeric) = 0.9994901300721061 absolute error = 3.33066907387547e-16 relative error = 3.332368148182901e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005200000000000007 y[1] (analytic) = 0.9994801352234316 y[1] (numeric) = 0.999480135223432 absolute error = 4.440892098500626e-16 relative error = 4.443201962696211e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005300000000000007 y[1] (analytic) = 0.9994701404748095 y[1] (numeric) = 0.99947014047481 absolute error = 4.440892098500626e-16 relative error = 4.443246394925746e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005400000000000008 y[1] (analytic) = 0.9994601458262405 y[1] (numeric) = 0.9994601458262409 absolute error = 3.33066907387547e-16 relative error = 3.33246812069935e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005500000000000008 y[1] (analytic) = 0.9994501512777253 y[1] (numeric) = 0.9994501512777257 absolute error = 4.440892098500626e-16 relative error = 4.443335260716369e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005600000000000008 y[1] (analytic) = 0.9994401568292652 y[1] (numeric) = 0.9994401568292656 absolute error = 3.33066907387547e-16 relative error = 3.332534770708087e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005700000000000008 y[1] (analytic) = 0.9994301624808611 y[1] (numeric) = 0.9994301624808615 absolute error = 3.33066907387547e-16 relative error = 3.332568096211776e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005800000000000009 y[1] (analytic) = 0.9994201682325139 y[1] (numeric) = 0.9994201682325143 absolute error = 4.440892098500626e-16 relative error = 4.443468562731124e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005900000000000009 y[1] (analytic) = 0.9994101740842247 y[1] (numeric) = 0.9994101740842252 absolute error = 4.440892098500626e-16 relative error = 4.443512997623709e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006000000000000009 y[1] (analytic) = 0.9994001800359947 y[1] (numeric) = 0.999400180035995 absolute error = 2.220446049250313e-16 relative error = 2.22177871648006e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006100000000000009 y[1] (analytic) = 0.9993901860878245 y[1] (numeric) = 0.9993901860878247 absolute error = 2.220446049250313e-16 relative error = 2.221800934370177e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000620000000000001 y[1] (analytic) = 0.9993801922397153 y[1] (numeric) = 0.9993801922397155 absolute error = 2.220446049250313e-16 relative error = 2.221823152482202e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000630000000000001 y[1] (analytic) = 0.9993701984916679 y[1] (numeric) = 0.9993701984916683 absolute error = 4.440892098500626e-16 relative error = 4.443690741632268e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000640000000000001 y[1] (analytic) = 0.9993602048436836 y[1] (numeric) = 0.999360204843684 absolute error = 4.440892098500626e-16 relative error = 4.443735178743939e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006500000000000011 y[1] (analytic) = 0.9993502112957634 y[1] (numeric) = 0.9993502112957637 absolute error = 3.33066907387547e-16 relative error = 3.332834712224561e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006600000000000011 y[1] (analytic) = 0.9993402178479081 y[1] (numeric) = 0.9993402178479084 absolute error = 3.33066907387547e-16 relative error = 3.332868040724017e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006700000000000011 y[1] (analytic) = 0.9993302245001189 y[1] (numeric) = 0.9993302245001191 absolute error = 2.220446049250313e-16 relative error = 2.221934246370879e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006800000000000011 y[1] (analytic) = 0.9993202312523964 y[1] (numeric) = 0.9993202312523968 absolute error = 3.33066907387547e-16 relative error = 3.332934698721464e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006900000000000012 y[1] (analytic) = 0.9993102381047421 y[1] (numeric) = 0.9993102381047424 absolute error = 3.33066907387547e-16 relative error = 3.332968028219448e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007000000000000012 y[1] (analytic) = 0.9993002450571568 y[1] (numeric) = 0.999300245057157 absolute error = 2.220446049250313e-16 relative error = 2.222000905366846e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007100000000000012 y[1] (analytic) = 0.9992902521096412 y[1] (numeric) = 0.9992902521096415 absolute error = 3.33066907387547e-16 relative error = 3.333034688213922e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007200000000000012 y[1] (analytic) = 0.9992802592621968 y[1] (numeric) = 0.9992802592621971 absolute error = 3.33066907387547e-16 relative error = 3.333068018710405e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007300000000000013 y[1] (analytic) = 0.9992702665148242 y[1] (numeric) = 0.9992702665148246 absolute error = 4.440892098500626e-16 relative error = 4.444135132719618e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007400000000000013 y[1] (analytic) = 0.9992602738675249 y[1] (numeric) = 0.9992602738675251 absolute error = 2.220446049250313e-16 relative error = 2.222089787134563e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007500000000000013 y[1] (analytic) = 0.9992502813202994 y[1] (numeric) = 0.9992502813202996 absolute error = 2.220446049250313e-16 relative error = 2.222112008131196e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007600000000000013 y[1] (analytic) = 0.9992402888731489 y[1] (numeric) = 0.9992402888731491 absolute error = 2.220446049250313e-16 relative error = 2.222134229349707e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007700000000000014 y[1] (analytic) = 0.9992302965260743 y[1] (numeric) = 0.9992302965260745 absolute error = 2.220446049250313e-16 relative error = 2.222156450790093e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007800000000000014 y[1] (analytic) = 0.9992203042790765 y[1] (numeric) = 0.9992203042790769 absolute error = 4.440892098500626e-16 relative error = 4.444357344904703e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007900000000000014 y[1] (analytic) = 0.9992103121321571 y[1] (numeric) = 0.9992103121321573 absolute error = 2.220446049250313e-16 relative error = 2.22220089433648e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008000000000000014 y[1] (analytic) = 0.9992003200853163 y[1] (numeric) = 0.9992003200853166 absolute error = 2.220446049250313e-16 relative error = 2.222223116442478e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008100000000000015 y[1] (analytic) = 0.9991903281385556 y[1] (numeric) = 0.9991903281385559 absolute error = 3.33066907387547e-16 relative error = 3.333368008155512e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008200000000000015 y[1] (analytic) = 0.9991803362918759 y[1] (numeric) = 0.9991803362918762 absolute error = 3.33066907387547e-16 relative error = 3.333401341980103e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008300000000000015 y[1] (analytic) = 0.9991703445452782 y[1] (numeric) = 0.9991703445452784 absolute error = 2.220446049250313e-16 relative error = 2.222289784091657e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008400000000000016 y[1] (analytic) = 0.9991603528987633 y[1] (numeric) = 0.9991603528987636 absolute error = 3.33066907387547e-16 relative error = 3.333468010627658e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008500000000000016 y[1] (analytic) = 0.9991503613523323 y[1] (numeric) = 0.9991503613523327 absolute error = 4.440892098500626e-16 relative error = 4.444668460600822e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008600000000000016 y[1] (analytic) = 0.9991403699059866 y[1] (numeric) = 0.9991403699059869 absolute error = 2.220446049250313e-16 relative error = 2.222356453737571e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008700000000000016 y[1] (analytic) = 0.9991303785597265 y[1] (numeric) = 0.999130378559727 absolute error = 4.440892098500626e-16 relative error = 4.444757354793168e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008800000000000017 y[1] (analytic) = 0.9991203873135537 y[1] (numeric) = 0.999120387313554 absolute error = 3.33066907387547e-16 relative error = 3.33360135191617e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008900000000000017 y[1] (analytic) = 0.9991103961674688 y[1] (numeric) = 0.999110396167469 absolute error = 2.220446049250313e-16 relative error = 2.222423125380157e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009000000000000017 y[1] (analytic) = 0.9991004051214727 y[1] (numeric) = 0.9991004051214729 absolute error = 2.220446049250313e-16 relative error = 2.222445349704714e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009100000000000017 y[1] (analytic) = 0.9990904141755665 y[1] (numeric) = 0.9990904141755669 absolute error = 3.33066907387547e-16 relative error = 3.333701361376672e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009200000000000018 y[1] (analytic) = 0.9990804233297516 y[1] (numeric) = 0.9990804233297518 absolute error = 2.220446049250313e-16 relative error = 2.222489799019356e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009300000000000018 y[1] (analytic) = 0.9990704325840282 y[1] (numeric) = 0.9990704325840286 absolute error = 4.440892098500626e-16 relative error = 4.445024048018876e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009400000000000018 y[1] (analytic) = 0.9990604419383982 y[1] (numeric) = 0.9990604419383984 absolute error = 2.220446049250313e-16 relative error = 2.222534249221355e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009500000000000018 y[1] (analytic) = 0.9990504513928619 y[1] (numeric) = 0.9990504513928622 absolute error = 3.33066907387547e-16 relative error = 3.333834711982662e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009600000000000019 y[1] (analytic) = 0.9990404609474206 y[1] (numeric) = 0.9990404609474209 absolute error = 3.33066907387547e-16 relative error = 3.333868050466038e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009700000000000019 y[1] (analytic) = 0.9990304706020754 y[1] (numeric) = 0.9990304706020756 absolute error = 2.220446049250313e-16 relative error = 2.222600926188107e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009800000000000019 y[1] (analytic) = 0.9990204803568269 y[1] (numeric) = 0.9990204803568272 absolute error = 3.33066907387547e-16 relative error = 3.333934728431025e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009900000000000019 y[1] (analytic) = 0.9990104902116764 y[1] (numeric) = 0.9990104902116768 absolute error = 3.33066907387547e-16 relative error = 3.333968067912628e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.001000000000000002 y[1] (analytic) = 0.999000500166625 y[1] (numeric) = 0.9990005001666253 absolute error = 3.33066907387547e-16 relative error = 3.334001407726965e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) - cos ( x ); Iterations = 100 Total Elapsed Time = 11 Seconds Elapsed Time(since restart) = 10 Seconds Expected Time Remaining = 1 Days 6 Hours 14 Minutes 59 Seconds Optimized Time Remaining = 1 Days 3 Hours 29 Minutes 59 Seconds Time to Timeout = 49 Seconds Percent Done = 0.0101 %