##############ECHO OF PROBLEM################# ##############temp/div_c_exppostode.ode################# diff ( y , x , 1 ) = 2.0 / exp(x); ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=1.0; /* # did poorly with x_start := -5.0; */ x_end=5.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; glob_display_interval=0.1; glob_max_minutes=10; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.1; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(- 2.0/exp(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 4 estimated_steps = 4000000 step_error = 2.5e-17 est_needed_step_err = 2.5e-17 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.824402729519567e-183 estimated_step_error = 1.824402729519567e-183 best_h = 2e-06 opt_iter = 2 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.22433592389236e-175 estimated_step_error = 1.22433592389236e-175 best_h = 4e-06 opt_iter = 3 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.216378996365963e-168 estimated_step_error = 8.216378996365963e-168 best_h = 8e-06 opt_iter = 4 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.513918197951554e-160 estimated_step_error = 5.513918197951554e-160 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.700327316330089e-152 estimated_step_error = 3.700327316330089e-152 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.483246890483541e-144 estimated_step_error = 2.483246890483541e-144 best_h = 6.4e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.66647779096272e-136 estimated_step_error = 1.66647779096272e-136 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.118352988854278e-128 estimated_step_error = 1.118352988854278e-128 best_h = 0.000256 opt_iter = 9 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.505122073163737e-121 estimated_step_error = 7.505122073163737e-121 best_h = 0.000512 opt_iter = 10 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.036578287758426e-113 estimated_step_error = 5.036578287758426e-113 best_h = 0.001024 opt_iter = 11 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.379958426181464e-105 estimated_step_error = 3.379958426181464e-105 best_h = 0.002048 opt_iter = 12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.268208691633596e-97 estimated_step_error = 2.268208691633596e-97 best_h = 0.004096 opt_iter = 13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.522111359745133e-89 estimated_step_error = 1.522111359745133e-89 best_h = 0.008192 opt_iter = 14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.021394171833567e-81 estimated_step_error = 1.021394171833567e-81 best_h = 0.016384 opt_iter = 15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.853420693479301e-74 estimated_step_error = 6.853420693479301e-74 best_h = 0.032768 opt_iter = 16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.597858106883947e-66 estimated_step_error = 4.597858106883947e-66 best_h = 0.065536 opt_iter = 17 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.083700099788786e-58 estimated_step_error = 3.083700099788786e-58 best_h = 0.131072 opt_iter = 18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.066930321391556e-50 estimated_step_error = 2.066930321391556e-50 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 1 y[1] (analytic) = -0.7357588823428847 y[1] (numeric) = -0.7357588823428847 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.1 y[1] (analytic) = -0.665742167396159 y[1] (numeric) = -0.6657421673961591 absolute error = 1.110223024625157e-16 relative error = 1.66764714479097e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.2 y[1] (analytic) = -0.6023884238244041 y[1] (numeric) = -0.6023884238244042 absolute error = 1.110223024625157e-16 relative error = 1.843035126034869e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.3 y[1] (analytic) = -0.5450635860680251 y[1] (numeric) = -0.5450635860680252 absolute error = 1.110223024625157e-16 relative error = 2.036868822285623e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (analytic) = -0.4931939278832128 y[1] (numeric) = -0.4931939278832129 absolute error = 1.665334536937735e-16 relative error = 3.376632279487598e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.5 y[1] (analytic) = -0.4462603202968594 y[1] (numeric) = -0.4462603202968596 absolute error = 2.220446049250313e-16 relative error = 4.975674395100235e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = -0.4037930359893106 y[1] (numeric) = -0.4037930359893108 absolute error = 2.220446049250313e-16 relative error = 5.498970639278419e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = -0.365367048105469 y[1] (numeric) = -0.3653670481054693 absolute error = 2.775557561562891e-16 relative error = 7.596628037352953e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = -0.3305977764431728 y[1] (numeric) = -0.3305977764431731 absolute error = 2.775557561562891e-16 relative error = 8.395572382320568e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = -0.2991372384452698 y[1] (numeric) = -0.2991372384452702 absolute error = 3.33066907387547e-16 relative error = 1.113425092504773e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000001 y[1] (analytic) = -0.2706705664732251 y[1] (numeric) = -0.2706705664732255 absolute error = 3.33066907387547e-16 relative error = 1.230525031691963e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100000000000001 y[1] (analytic) = -0.2449128565059636 y[1] (numeric) = -0.2449128565059639 absolute error = 3.608224830031759e-16 relative error = 1.473268852239245e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200000000000001 y[1] (analytic) = -0.2216063167246675 y[1] (numeric) = -0.2216063167246679 absolute error = 3.885780586188048e-16 relative error = 1.75346111230931e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.300000000000001 y[1] (analytic) = -0.2005176874456072 y[1] (numeric) = -0.2005176874456076 absolute error = 3.885780586188048e-16 relative error = 1.937874227300827e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400000000000001 y[1] (analytic) = -0.1814359065788248 y[1] (numeric) = -0.1814359065788252 absolute error = 4.163336342344337e-16 relative error = 2.294659541679848e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500000000000001 y[1] (analytic) = -0.1641699972477974 y[1] (numeric) = -0.1641699972477978 absolute error = 4.163336342344337e-16 relative error = 2.535990992349362e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600000000000001 y[1] (analytic) = -0.1485471564286676 y[1] (numeric) = -0.148547156428668 absolute error = 4.163336342344337e-16 relative error = 2.802703493246317e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700000000000002 y[1] (analytic) = -0.1344110254794993 y[1] (numeric) = -0.1344110254794998 absolute error = 4.440892098500626e-16 relative error = 3.303964152239849e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800000000000002 y[1] (analytic) = -0.1216201252504357 y[1] (numeric) = -0.1216201252504362 absolute error = 4.440892098500626e-16 relative error = 3.651445095419942e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900000000000002 y[1] (analytic) = -0.1100464401128143 y[1] (numeric) = -0.1100464401128147 absolute error = 4.579669976578771e-16 relative error = 4.161579394920831e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.000000000000002 y[1] (analytic) = -0.09957413673572771 y[1] (numeric) = -0.09957413673572817 absolute error = 4.579669976578771e-16 relative error = 4.599256520529353e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100000000000002 y[1] (analytic) = -0.09009840478711545 y[1] (numeric) = -0.09009840478711591 absolute error = 4.579669976578771e-16 relative error = 5.082964551258834e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.200000000000002 y[1] (analytic) = -0.08152440795673227 y[1] (numeric) = -0.08152440795673274 absolute error = 4.718447854656915e-16 relative error = 5.787773223892841e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300000000000002 y[1] (analytic) = -0.07376633480247986 y[1] (numeric) = -0.07376633480248034 absolute error = 4.718447854656915e-16 relative error = 6.396478647463302e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400000000000002 y[1] (analytic) = -0.06674653992065202 y[1] (numeric) = -0.06674653992065249 absolute error = 4.718447854656915e-16 relative error = 7.069202179268295e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500000000000002 y[1] (analytic) = -0.06039476684463686 y[1] (numeric) = -0.06039476684463735 absolute error = 4.85722573273506e-16 relative error = 8.042461270245616e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600000000000002 y[1] (analytic) = -0.05464744489458499 y[1] (numeric) = -0.05464744489458548 absolute error = 4.85722573273506e-16 relative error = 8.888294305625187e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.700000000000002 y[1] (analytic) = -0.04944705294067867 y[1] (numeric) = -0.04944705294067915 absolute error = 4.85722573273506e-16 relative error = 9.823084377874339e-13 % Correct digits = 15 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.800000000000002 y[1] (analytic) = -0.04474154371233108 y[1] (numeric) = -0.04474154371233157 absolute error = 4.926614671774132e-16 relative error = 1.101127556851894e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900000000000003 y[1] (analytic) = -0.04048382289160867 y[1] (numeric) = -0.04048382289160916 absolute error = 4.926614671774132e-16 relative error = 1.216934152924402e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000000000000003 y[1] (analytic) = -0.03663127777746826 y[1] (numeric) = -0.03663127777746876 absolute error = 4.996003610813204e-16 relative error = 1.363862773546552e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100000000000002 y[1] (analytic) = -0.03314535080352242 y[1] (numeric) = -0.0331453508035229 absolute error = 4.85722573273506e-16 relative error = 1.465431988192707e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200000000000002 y[1] (analytic) = -0.02999115364095535 y[1] (numeric) = -0.02999115364095583 absolute error = 4.753142324176451e-16 relative error = 1.584848112573319e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.300000000000002 y[1] (analytic) = -0.02713711802440182 y[1] (numeric) = -0.02713711802440229 absolute error = 4.683753385137379e-16 relative error = 1.725958291122044e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1556 Order of pole (six term test) = 1.07e+05 TOP MAIN SOLVE Loop x[1] = 4.400000000000001 y[1] (analytic) = -0.02455467980613685 y[1] (numeric) = -0.02455467980613731 absolute error = 4.544975507059235e-16 relative error = 1.850961015554895e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.500000000000001 y[1] (analytic) = -0.02221799307648459 y[1] (numeric) = -0.02221799307648504 absolute error = 4.510281037539698e-16 relative error = 2.030012801792326e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.600000000000001 y[1] (analytic) = -0.02010367148926715 y[1] (numeric) = -0.0201036714892676 absolute error = 4.440892098500626e-16 relative error = 2.208995556295032e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.7 y[1] (analytic) = -0.01819055420339163 y[1] (numeric) = -0.01819055420339207 absolute error = 4.371503159461554e-16 relative error = 2.403172058741611e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.8 y[1] (analytic) = -0.01645949409804006 y[1] (numeric) = -0.01645949409804049 absolute error = 4.302114220422482e-16 relative error = 2.613758475684111e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.899999999999999 y[1] (analytic) = -0.01489316614184869 y[1] (numeric) = -0.01489316614184911 absolute error = 4.250072516143177e-16 relative error = 2.853706509189332e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.999999999999999 y[1] (analytic) = -0.01347589399817095 y[1] (numeric) = -0.01347589399817137 absolute error = 4.180683577104105e-16 relative error = 3.1023422844314e-12 % Correct digits = 14 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = 2.0 / exp(x); Iterations = 41 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 105 %