##############ECHO OF PROBLEM################# ##############temp/sp_diff2_3postode.ode################# diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=-1.0; x_end=-0.99; array_y_init[0 + 1] = exact_soln_y(x_start); array_y_init[1 + 1] = exact_soln_yp(x_start); array_y_init[2 + 1] = exact_soln_ypp(x_start); glob_look_poles=true; glob_max_iter=1000000000; glob_display_interval=0.0001; glob_max_minutes=2; glob_desired_digits_correct=10; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return( - cos(x)); } double exact_soln_yp (double x) { return( sin(x)); } double exact_soln_ypp (double x) { return( cos(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 0.01000000000000001 estimated_steps = 100.0000000000001 step_error = 9.999999999999992e-13 est_needed_step_err = 9.999999999999992e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 8.141023745048769e-62 max_value3 = 8.141023745048769e-62 value3 = 8.141023745048769e-62 best_h = 0.0001 START of Soultion x[1] = -1 y[1] (analytic) = -0.5403023058681398 y[1] (numeric) = -0.5403023058681398 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9999 y[1] (analytic) = -0.5403864502649687 y[1] (numeric) = -0.5403864502649688 absolute error = 1.110223024625157e-16 relative error = 2.054498265233665e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9998 y[1] (analytic) = -0.5404705892579332 y[1] (numeric) = -0.5404705892579333 absolute error = 1.110223024625157e-16 relative error = 2.054178426525473e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9997 y[1] (analytic) = -0.5405547228461919 y[1] (numeric) = -0.540554722846192 absolute error = 1.110223024625157e-16 relative error = 2.053858707920413e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9996 y[1] (analytic) = -0.5406388510289033 y[1] (numeric) = -0.5406388510289034 absolute error = 1.110223024625157e-16 relative error = 2.053539109356021e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9995000000000001 y[1] (analytic) = -0.5407229738052262 y[1] (numeric) = -0.5407229738052263 absolute error = 1.110223024625157e-16 relative error = 2.053219630769878e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9994000000000001 y[1] (analytic) = -0.5408070911743194 y[1] (numeric) = -0.5408070911743195 absolute error = 1.110223024625157e-16 relative error = 2.052900272099606e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9993000000000001 y[1] (analytic) = -0.5408912031353416 y[1] (numeric) = -0.5408912031353418 absolute error = 2.220446049250313e-16 relative error = 4.105162066565749e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9992000000000001 y[1] (analytic) = -0.5409753096874518 y[1] (numeric) = -0.540975309687452 absolute error = 2.220446049250313e-16 relative error = 4.104523828514789e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9991000000000001 y[1] (analytic) = -0.5410594108298089 y[1] (numeric) = -0.5410594108298091 absolute error = 2.220446049250313e-16 relative error = 4.103885829921842e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9990000000000001 y[1] (analytic) = -0.541143506561572 y[1] (numeric) = -0.5411435065615722 absolute error = 2.220446049250313e-16 relative error = 4.103248070662506e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9989000000000001 y[1] (analytic) = -0.5412275968818999 y[1] (numeric) = -0.5412275968819001 absolute error = 2.220446049250313e-16 relative error = 4.102610550612466e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9988000000000001 y[1] (analytic) = -0.5413116817899519 y[1] (numeric) = -0.5413116817899521 absolute error = 2.220446049250313e-16 relative error = 4.101973269647494e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9987000000000001 y[1] (analytic) = -0.5413957612848871 y[1] (numeric) = -0.5413957612848873 absolute error = 2.220446049250313e-16 relative error = 4.101336227643451e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9986000000000002 y[1] (analytic) = -0.5414798353658646 y[1] (numeric) = -0.5414798353658649 absolute error = 2.220446049250313e-16 relative error = 4.100699424476282e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9985000000000002 y[1] (analytic) = -0.5415639040320439 y[1] (numeric) = -0.5415639040320441 absolute error = 2.220446049250313e-16 relative error = 4.100062860022021e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9984000000000002 y[1] (analytic) = -0.5416479672825841 y[1] (numeric) = -0.5416479672825844 absolute error = 2.220446049250313e-16 relative error = 4.099426534156788e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9983000000000002 y[1] (analytic) = -0.5417320251166446 y[1] (numeric) = -0.5417320251166449 absolute error = 2.220446049250313e-16 relative error = 4.098790446756791e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9982000000000002 y[1] (analytic) = -0.5418160775333849 y[1] (numeric) = -0.5418160775333851 absolute error = 2.220446049250313e-16 relative error = 4.098154597698324e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9981000000000002 y[1] (analytic) = -0.5419001245319645 y[1] (numeric) = -0.5419001245319647 absolute error = 2.220446049250313e-16 relative error = 4.097518986857767e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9980000000000002 y[1] (analytic) = -0.5419841661115427 y[1] (numeric) = -0.541984166111543 absolute error = 3.33066907387547e-16 relative error = 6.145325421167385e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9979000000000002 y[1] (analytic) = -0.5420682022712793 y[1] (numeric) = -0.5420682022712796 absolute error = 3.33066907387547e-16 relative error = 6.144372719004516e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9978000000000002 y[1] (analytic) = -0.5421522330103339 y[1] (numeric) = -0.5421522330103342 absolute error = 3.33066907387547e-16 relative error = 6.143420373613004e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9977000000000003 y[1] (analytic) = -0.5422362583278661 y[1] (numeric) = -0.5422362583278665 absolute error = 3.33066907387547e-16 relative error = 6.142468384807942e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9976000000000003 y[1] (analytic) = -0.5423202782230359 y[1] (numeric) = -0.5423202782230362 absolute error = 3.33066907387547e-16 relative error = 6.141516752404547e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9975000000000003 y[1] (analytic) = -0.5424042926950028 y[1] (numeric) = -0.5424042926950031 absolute error = 3.33066907387547e-16 relative error = 6.140565476218171e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9974000000000003 y[1] (analytic) = -0.5424883017429267 y[1] (numeric) = -0.5424883017429271 absolute error = 3.33066907387547e-16 relative error = 6.13961455606429e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9973000000000003 y[1] (analytic) = -0.5425723053659678 y[1] (numeric) = -0.542572305365968 absolute error = 2.220446049250313e-16 relative error = 4.092442661172341e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9972000000000003 y[1] (analytic) = -0.5426563035632856 y[1] (numeric) = -0.5426563035632859 absolute error = 2.220446049250313e-16 relative error = 4.091809188744382e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9971000000000003 y[1] (analytic) = -0.5427402963340405 y[1] (numeric) = -0.5427402963340408 absolute error = 2.220446049250313e-16 relative error = 4.091175953302893e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9970000000000003 y[1] (analytic) = -0.5428242836773925 y[1] (numeric) = -0.5428242836773927 absolute error = 1.110223024625157e-16 relative error = 2.045271477362601e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9969000000000003 y[1] (analytic) = -0.5429082655925016 y[1] (numeric) = -0.5429082655925017 absolute error = 1.110223024625157e-16 relative error = 2.044955096444364e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9968000000000004 y[1] (analytic) = -0.542992242078528 y[1] (numeric) = -0.542992242078528 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9967000000000004 y[1] (analytic) = -0.5430762131346322 y[1] (numeric) = -0.5430762131346319 absolute error = 2.220446049250313e-16 relative error = 4.08864537894951e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9966000000000004 y[1] (analytic) = -0.543160178759974 y[1] (numeric) = -0.5431601787599737 absolute error = 3.33066907387547e-16 relative error = 6.132019989903041e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9965000000000004 y[1] (analytic) = -0.5432441389537142 y[1] (numeric) = -0.5432441389537137 absolute error = 4.440892098500626e-16 relative error = 8.174763021012551e-14 % Correct digits = 15 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9964000000000004 y[1] (analytic) = -0.5433280937150129 y[1] (numeric) = -0.5433280937150122 absolute error = 6.661338147750939e-16 relative error = 1.226024979162029e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9963000000000004 y[1] (analytic) = -0.5434120430430307 y[1] (numeric) = -0.5434120430430298 absolute error = 8.881784197001252e-16 relative error = 1.63444743463257e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9962000000000004 y[1] (analytic) = -0.5434959869369281 y[1] (numeric) = -0.543495986936927 absolute error = 1.110223024625157e-15 relative error = 2.042743739254134e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9961000000000004 y[1] (analytic) = -0.5435799253958656 y[1] (numeric) = -0.5435799253958643 absolute error = 1.332267629550188e-15 relative error = 2.450913963719237e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9960000000000004 y[1] (analytic) = -0.5436638584190039 y[1] (numeric) = -0.5436638584190023 absolute error = 1.554312234475219e-15 relative error = 2.858958178671691e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9959000000000005 y[1] (analytic) = -0.5437477860055036 y[1] (numeric) = -0.5437477860055017 absolute error = 1.887379141862766e-15 relative error = 3.471056233125817e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9958000000000005 y[1] (analytic) = -0.5438317081545254 y[1] (numeric) = -0.5438317081545232 absolute error = 2.220446049250313e-15 relative error = 4.082965402634065e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9957000000000005 y[1] (analytic) = -0.5439156248652302 y[1] (numeric) = -0.5439156248652276 absolute error = 2.55351295663786e-15 relative error = 4.694685792985929e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9956000000000005 y[1] (analytic) = -0.5439995361367786 y[1] (numeric) = -0.5439995361367757 absolute error = 2.997602166487923e-15 relative error = 5.510302798740312e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9955000000000005 y[1] (analytic) = -0.5440834419683318 y[1] (numeric) = -0.5440834419683284 absolute error = 3.441691376337985e-15 relative error = 6.325668290670584e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9954000000000005 y[1] (analytic) = -0.5441673423590506 y[1] (numeric) = -0.5441673423590466 absolute error = 3.996802888650564e-15 relative error = 7.344804764144422e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9953000000000005 y[1] (analytic) = -0.5442512373080959 y[1] (numeric) = -0.5442512373080914 absolute error = 4.440892098500626e-15 relative error = 8.159636201224979e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9952000000000005 y[1] (analytic) = -0.5443351268146288 y[1] (numeric) = -0.5443351268146238 absolute error = 4.996003610813204e-15 relative error = 9.178176025583911e-13 % Correct digits = 14 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9951000000000005 y[1] (analytic) = -0.5444190108778105 y[1] (numeric) = -0.5444190108778049 absolute error = 5.662137425588298e-15 relative error = 1.0400330099529e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9950000000000006 y[1] (analytic) = -0.5445028894968021 y[1] (numeric) = -0.5445028894967957 absolute error = 6.439293542825908e-15 relative error = 1.182600435559989e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9949000000000006 y[1] (analytic) = -0.5445867626707649 y[1] (numeric) = -0.5445867626707577 absolute error = 7.216449660063518e-15 relative error = 1.325123957231823e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9948000000000006 y[1] (analytic) = -0.5446706303988599 y[1] (numeric) = -0.5446706303988519 absolute error = 7.993605777301127e-15 relative error = 1.467603599527194e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9947000000000006 y[1] (analytic) = -0.5447544926802487 y[1] (numeric) = -0.5447544926802398 absolute error = 8.881784197001252e-15 relative error = 1.630419632392925e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9946000000000006 y[1] (analytic) = -0.5448383495140925 y[1] (numeric) = -0.5448383495140827 absolute error = 9.769962616701378e-15 relative error = 1.793185561444895e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9945000000000006 y[1] (analytic) = -0.5449222008995529 y[1] (numeric) = -0.544922200899542 absolute error = 1.088018564132653e-14 relative error = 1.996649360838229e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9944000000000006 y[1] (analytic) = -0.5450060468357912 y[1] (numeric) = -0.5450060468357792 absolute error = 1.199040866595169e-14 relative error = 2.200050574771763e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9943000000000006 y[1] (analytic) = -0.5450898873219692 y[1] (numeric) = -0.545089887321956 absolute error = 1.321165399303936e-14 relative error = 2.423756943638841e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9942000000000006 y[1] (analytic) = -0.5451737223572481 y[1] (numeric) = -0.5451737223572337 absolute error = 1.443289932012704e-14 relative error = 2.647394532832833e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9941000000000006 y[1] (analytic) = -0.54525755194079 y[1] (numeric) = -0.5452575519407742 absolute error = 1.576516694967722e-14 relative error = 2.891324823207433e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9940000000000007 y[1] (analytic) = -0.5453413760717563 y[1] (numeric) = -0.545341376071739 absolute error = 1.720845688168993e-14 relative error = 3.15553846393376e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9939000000000007 y[1] (analytic) = -0.5454251947493088 y[1] (numeric) = -0.5454251947492901 absolute error = 1.876276911616515e-14 relative error = 3.440026111149667e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9938000000000007 y[1] (analytic) = -0.5455090079726094 y[1] (numeric) = -0.5455090079725891 absolute error = 2.031708135064036e-14 relative error = 3.724426371280107e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9937000000000007 y[1] (analytic) = -0.54559281574082 y[1] (numeric) = -0.5455928157407978 absolute error = 2.220446049250313e-14 relative error = 4.06978608439947e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9936000000000007 y[1] (analytic) = -0.5456766180531023 y[1] (numeric) = -0.5456766180530782 absolute error = 2.40918396343659e-14 relative error = 4.415039757489006e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9935000000000007 y[1] (analytic) = -0.5457604149086185 y[1] (numeric) = -0.5457604149085924 absolute error = 2.609024107869118e-14 relative error = 4.780530131167483e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9934000000000007 y[1] (analytic) = -0.5458442063065305 y[1] (numeric) = -0.5458442063065023 absolute error = 2.819966482547898e-14 relative error = 5.16624789631693e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9933000000000007 y[1] (analytic) = -0.5459279922460005 y[1] (numeric) = -0.54592799224597 absolute error = 3.05311331771918e-14 relative error = 5.592520187796887e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9932000000000007 y[1] (analytic) = -0.5460117727261906 y[1] (numeric) = -0.5460117727261576 absolute error = 3.297362383136715e-14 relative error = 6.038995032420754e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9931000000000008 y[1] (analytic) = -0.5460955477462629 y[1] (numeric) = -0.5460955477462274 absolute error = 3.552713678800501e-14 relative error = 6.505663145327874e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9930000000000008 y[1] (analytic) = -0.5461793173053798 y[1] (numeric) = -0.5461793173053415 absolute error = 3.83026943495679e-14 relative error = 7.012842327779339e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9929000000000008 y[1] (analytic) = -0.5462630814027035 y[1] (numeric) = -0.5462630814026623 absolute error = 4.118927421359331e-14 relative error = 7.540189995601899e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9928000000000008 y[1] (analytic) = -0.5463468400373964 y[1] (numeric) = -0.5463468400373522 absolute error = 4.418687638008123e-14 relative error = 8.087696888126363e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9927000000000008 y[1] (analytic) = -0.5464305932086209 y[1] (numeric) = -0.5464305932085736 absolute error = 4.729550084903167e-14 relative error = 8.655353751574227e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9926000000000008 y[1] (analytic) = -0.5465143409155394 y[1] (numeric) = -0.5465143409154888 absolute error = 5.062616992290714e-14 relative error = 9.263465957379354e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9925000000000008 y[1] (analytic) = -0.5465980831573146 y[1] (numeric) = -0.5465980831572603 absolute error = 5.428990590417015e-14 relative error = 9.932326434548646e-12 % Correct digits = 13 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9924000000000008 y[1] (analytic) = -0.5466818199331089 y[1] (numeric) = -0.5466818199330509 absolute error = 5.806466418789569e-14 relative error = 1.062129049672813e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9923000000000008 y[1] (analytic) = -0.5467655512420851 y[1] (numeric) = -0.546765551242023 absolute error = 6.217248937900877e-14 relative error = 1.137095949768082e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9922000000000009 y[1] (analytic) = -0.5468492770834057 y[1] (numeric) = -0.5468492770833394 absolute error = 6.628031457012185e-14 relative error = 1.212039904736177e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9921000000000009 y[1] (analytic) = -0.5469329974562336 y[1] (numeric) = -0.5469329974561629 absolute error = 7.072120666862247e-14 relative error = 1.293050647840674e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9920000000000009 y[1] (analytic) = -0.5470167123597315 y[1] (numeric) = -0.5470167123596561 absolute error = 7.538414337204813e-14 relative error = 1.378095799794754e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9919000000000009 y[1] (analytic) = -0.5471004217930623 y[1] (numeric) = -0.547100421792982 absolute error = 8.026912468039882e-14 relative error = 1.467173511168671e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9918000000000009 y[1] (analytic) = -0.5471841257553889 y[1] (numeric) = -0.5471841257553034 absolute error = 8.548717289613705e-14 relative error = 1.562310909113488e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9917000000000009 y[1] (analytic) = -0.5472678242458742 y[1] (numeric) = -0.5472678242457834 absolute error = 9.081624341433781e-14 relative error = 1.659447886224283e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9916000000000009 y[1] (analytic) = -0.5473515172636813 y[1] (numeric) = -0.5473515172635848 absolute error = 9.64783808399261e-14 relative error = 1.762640237524885e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9915000000000009 y[1] (analytic) = -0.5474352048079731 y[1] (numeric) = -0.5474352048078708 absolute error = 1.023625628704394e-13 relative error = 1.869857144213911e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9914000000000009 y[1] (analytic) = -0.5475188868779131 y[1] (numeric) = -0.5475188868778044 absolute error = 1.086908341108028e-13 relative error = 1.985152233388415e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.991300000000001 y[1] (analytic) = -0.547602563472664 y[1] (numeric) = -0.5476025634725489 absolute error = 1.151301276536287e-13 relative error = 2.102439530661108e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.991200000000001 y[1] (analytic) = -0.5476862345913894 y[1] (numeric) = -0.5476862345912674 absolute error = 1.220135104063047e-13 relative error = 2.227799471668937e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.991100000000001 y[1] (analytic) = -0.5477699002332524 y[1] (numeric) = -0.5477699002331233 absolute error = 1.291189377639057e-13 relative error = 2.357174749998567e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.991000000000001 y[1] (analytic) = -0.5478535603974165 y[1] (numeric) = -0.5478535603972798 absolute error = 1.366684543313568e-13 relative error = 2.494616521835079e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.990900000000001 y[1] (analytic) = -0.5479372150830449 y[1] (numeric) = -0.5479372150829005 absolute error = 1.444400155037329e-13 relative error = 2.636068723345277e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.990800000000001 y[1] (analytic) = -0.5480208642893012 y[1] (numeric) = -0.5480208642891486 absolute error = 1.525446435834965e-13 relative error = 2.783555399506978e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.990700000000001 y[1] (analytic) = -0.5481045080153488 y[1] (numeric) = -0.5481045080151877 absolute error = 1.610933608731102e-13 relative error = 2.939099360018383e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.990600000000001 y[1] (analytic) = -0.5481881462603514 y[1] (numeric) = -0.5481881462601814 absolute error = 1.699751450701115e-13 relative error = 3.100671662268762e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.990500000000001 y[1] (analytic) = -0.5482717790234725 y[1] (numeric) = -0.5482717790232933 absolute error = 1.791899961745003e-13 relative error = 3.268269552258476e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9904000000000011 y[1] (analytic) = -0.5483554063038758 y[1] (numeric) = -0.5483554063036868 absolute error = 1.889599587912016e-13 relative error = 3.44593956071052e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9903000000000011 y[1] (analytic) = -0.5484390281007251 y[1] (numeric) = -0.548439028100526 absolute error = 1.990629883152906e-13 relative error = 3.629628420221237e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9902000000000011 y[1] (analytic) = -0.5485226444131841 y[1] (numeric) = -0.5485226444129745 absolute error = 2.096101070492296e-13 relative error = 3.821357407650379e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9901000000000011 y[1] (analytic) = -0.5486062552404166 y[1] (numeric) = -0.548606255240196 absolute error = 2.206013149930186e-13 relative error = 4.021122852424352e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9900000000000011 y[1] (analytic) = -0.5486898605815866 y[1] (numeric) = -0.5486898605813546 absolute error = 2.320366121466577e-13 relative error = 4.228921086690199e-11 % Correct digits = 12 h = 0.0001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9899000000000011 y[1] (analytic) = -0.5487734604358581 y[1] (numeric) = -0.5487734604356141 absolute error = 2.439159985101469e-13 relative error = 4.44474844531328e-11 % Correct digits = 12 h = 0.0001 Finished! diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ; Iterations = 101 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 2 Minutes 0 Seconds Percent Done = 102 %