##############ECHO OF PROBLEM################# ##############temp/expt_sin_sinpostode.ode################# diff ( y , x , 1 ) = expt ( sin ( 0.1 * x ) , sin ( 0.2 * x ) ) ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(0.1); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=0; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=false; glob_h=c(0.001); glob_display_interval=c(0.01); // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(c(0.0)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (closed_form) = 0 y[1] (numeric) = 0 absolute error = 0 relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (closed_form) = 0 y[1] (numeric) = 0.009089280960289792 absolute error = 0.009089280960289792 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (closed_form) = 0 y[1] (numeric) = 0.01811494349547834 absolute error = 0.01811494349547834 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (closed_form) = 0 y[1] (numeric) = 0.02707900099984001 absolute error = 0.02707900099984001 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (closed_form) = 0 y[1] (numeric) = 0.03598330672227254 absolute error = 0.03598330672227254 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (closed_form) = 0 y[1] (numeric) = 0.0448295768100298 absolute error = 0.0448295768100298 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.05361940864992856 absolute error = 0.05361940864992856 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.06235429571463235 absolute error = 0.06235429571463235 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.07103563975573736 absolute error = 0.07103563975573736 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.0796647609452797 absolute error = 0.0796647609452797 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.08824290640515142 absolute error = 0.08824290640515142 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.09677125745167557 absolute error = 0.09677125745167557 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1052509358031736 absolute error = 0.1052509358031736 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1136830089410663 absolute error = 0.1136830089410663 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.122068494772993 absolute error = 0.122068494772993 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1304083657150819 absolute error = 0.1304083657150819 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1387035522867968 absolute error = 0.1387035522867968 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1469549462936307 absolute error = 0.1469549462936307 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1551634036588518 absolute error = 0.1551634036588518 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.163329746954491 absolute error = 0.163329746954491 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.1714547676730501 absolute error = 0.1714547676730501 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.1795392282744598 absolute error = 0.1795392282744598 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.1875838640372186 absolute error = 0.1875838640372186 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.1955893847381124 absolute error = 0.1955893847381124 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.2035564761812045 absolute error = 0.2035564761812045 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.2114858015937404 absolute error = 0.2114858015937404 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.219378002904087 absolute error = 0.219378002904087 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.2272337019147279 absolute error = 0.2272337019147279 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.2350535013815758 absolute error = 0.2350535013815758 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.2428379860093868 absolute error = 0.2428379860093868 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.2505877233718041 absolute error = 0.2505877233718041 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2583032647635016 absolute error = 0.2583032647635016 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2659851459909864 absolute error = 0.2659851459909864 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2736338881078407 absolute error = 0.2736338881078407 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2812499980995182 absolute error = 0.2812499980995182 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2888339695222278 absolute error = 0.2888339695222278 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2963862830999391 absolute error = 0.2963862830999391 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.3039074072831066 absolute error = 0.3039074072831066 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.3113977987723316 absolute error = 0.3113977987723316 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.3188579030098442 absolute error = 0.3188579030098442 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.3262881546413993 absolute error = 0.3262881546413993 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.333688977950923 absolute error = 0.333688977950923 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3410607872700138 absolute error = 0.3410607872700138 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3484039873642102 absolute error = 0.3484039873642102 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3557189737977491 absolute error = 0.3557189737977491 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3630061332783897 absolute error = 0.3630061332783897 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3702658439837274 absolute error = 0.3702658439837274 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3774984758703034 absolute error = 0.3774984758703034 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3847043909666985 absolute error = 0.3847043909666985 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3918839436516962 absolute error = 0.3918839436516962 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3990374809185178 absolute error = 0.3990374809185178 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.4061653426260372 absolute error = 0.4061653426260372 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.4132678617378213 absolute error = 0.4132678617378213 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.4203453645497661 absolute error = 0.4203453645497661 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4273981709070425 absolute error = 0.4273981709070425 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.434426594411009 absolute error = 0.434426594411009 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4414309426167002 absolute error = 0.4414309426167002 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4484115172214514 absolute error = 0.4484115172214514 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4553686142451812 absolute error = 0.4553686142451812 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4623025242028159 absolute error = 0.4623025242028159 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4692135322693018 absolute error = 0.4692135322693018 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4761019184376251 absolute error = 0.4761019184376251 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4829679576702243 absolute error = 0.4829679576702243 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4898119200441581 absolute error = 0.4898119200441581 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4966340708903664 absolute error = 0.4966340708903664 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.5034346709273362 absolute error = 0.5034346709273362 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.5102139763894679 absolute error = 0.5102139763894679 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.5169722391504163 absolute error = 0.5169722391504163 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.5237097068416643 absolute error = 0.5237097068416643 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.5304266229665667 absolute error = 0.5304266229665667 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.5371232270100952 absolute error = 0.5371232270100952 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.54379975454449 absolute error = 0.54379975454449 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.5504564373310248 absolute error = 0.5504564373310248 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.5570935034180629 absolute error = 0.5570935034180629 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.5637111772355887 absolute error = 0.5637111772355887 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.5703096796863759 absolute error = 0.5703096796863759 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5768892282339473 absolute error = 0.5768892282339473 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5834500369874775 absolute error = 0.5834500369874775 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5899923167837731 absolute error = 0.5899923167837731 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5965162752664622 absolute error = 0.5965162752664622 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.6030221169625202 absolute error = 0.6030221169625202 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.6095100433562429 absolute error = 0.6095100433562429 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.6159802529607834 absolute error = 0.6159802529607834 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.6224329413873525 absolute error = 0.6224329413873525 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.6288683014121852 absolute error = 0.6288683014121852 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.6352865230413652 absolute error = 0.6352865230413652 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.6416877935735985 absolute error = 0.6416877935735985 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (closed_form) = 0 y[1] (numeric) = 0.6480722976610167 absolute error = 0.6480722976610167 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (closed_form) = 0 y[1] (numeric) = 0.6544402173680944 absolute error = 0.6544402173680944 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (closed_form) = 0 y[1] (numeric) = 0.6607917322287552 absolute error = 0.6607917322287552 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.6671270193017362 absolute error = 0.6671270193017362 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (closed_form) = 0 y[1] (numeric) = 0.6734462532242853 absolute error = 0.6734462532242853 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = 0 y[1] (numeric) = 0.6797496062642501 absolute error = 0.6797496062642501 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = 0 y[1] (numeric) = 0.6860372483706267 absolute error = 0.6860372483706267 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = 0 y[1] (numeric) = 0.6923093472226234 absolute error = 0.6923093472226234 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999995 y[1] (closed_form) = 0 y[1] (numeric) = 0.6985660682772971 absolute error = 0.6985660682772971 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.059999999999994 y[1] (closed_form) = 0 y[1] (numeric) = 0.7048075748158172 absolute error = 0.7048075748158172 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y[1] (closed_form) = 0 y[1] (numeric) = 0.7110340279884075 absolute error = 0.7110340279884075 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y[1] (closed_form) = 0 y[1] (numeric) = 0.7172455868580141 absolute error = 0.7172455868580141 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y[1] (closed_form) = 0 y[1] (numeric) = 0.7234424084427477 absolute error = 0.7234424084427477 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y[1] (closed_form) = 0 y[1] (numeric) = 0.7296246477571435 absolute error = 0.7296246477571435 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y[1] (closed_form) = 0 y[1] (numeric) = 0.7357924578522833 absolute error = 0.7357924578522833 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = 0 y[1] (numeric) = 0.741945989854816 absolute error = 0.741945989854816 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = 0 y[1] (numeric) = 0.7480853930049224 absolute error = 0.7480853930049224 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = 0 y[1] (numeric) = 0.7542108146932548 absolute error = 0.7542108146932548 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y[1] (closed_form) = 0 y[1] (numeric) = 0.7603224004968904 absolute error = 0.7603224004968904 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y[1] (closed_form) = 0 y[1] (numeric) = 0.7664202942143317 absolute error = 0.7664202942143317 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y[1] (closed_form) = 0 y[1] (numeric) = 0.7725046378995886 absolute error = 0.7725046378995886 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y[1] (closed_form) = 0 y[1] (numeric) = 0.7785755718953684 absolute error = 0.7785755718953684 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y[1] (closed_form) = 0 y[1] (numeric) = 0.7846332348654096 absolute error = 0.7846332348654096 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y[1] (closed_form) = 0 y[1] (numeric) = 0.7906777638259835 absolute error = 0.7906777638259835 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y[1] (closed_form) = 0 y[1] (numeric) = 0.7967092941765941 absolute error = 0.7967092941765941 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = 0 y[1] (numeric) = 0.8027279597299013 absolute error = 0.8027279597299013 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = 0 y[1] (numeric) = 0.8087338927408921 absolute error = 0.8087338927408921 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = 0 y[1] (numeric) = 0.8147272239353271 absolute error = 0.8147272239353271 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y[1] (closed_form) = 0 y[1] (numeric) = 0.8207080825374808 absolute error = 0.8207080825374808 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y[1] (closed_form) = 0 y[1] (numeric) = 0.826676596297203 absolute error = 0.826676596297203 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y[1] (closed_form) = 0 y[1] (numeric) = 0.8326328915163195 absolute error = 0.8326328915163195 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y[1] (closed_form) = 0 y[1] (numeric) = 0.8385770930743945 absolute error = 0.8385770930743945 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y[1] (closed_form) = 0 y[1] (numeric) = 0.8445093244538736 absolute error = 0.8445093244538736 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y[1] (closed_form) = 0 y[1] (numeric) = 0.8504297077646268 absolute error = 0.8504297077646268 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y[1] (closed_form) = 0 y[1] (numeric) = 0.8563383637679112 absolute error = 0.8563383637679112 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = 0 y[1] (numeric) = 0.8622354118997687 absolute error = 0.8622354118997687 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = 0 y[1] (numeric) = 0.8681209702938771 absolute error = 0.8681209702938771 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = 0 y[1] (numeric) = 0.8739951558038717 absolute error = 0.8739951558038717 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y[1] (closed_form) = 0 y[1] (numeric) = 0.8798580840251521 absolute error = 0.8798580840251521 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y[1] (closed_form) = 0 y[1] (numeric) = 0.8857098693161893 absolute error = 0.8857098693161893 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y[1] (closed_form) = 0 y[1] (numeric) = 0.8915506248193484 absolute error = 0.8915506248193484 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y[1] (closed_form) = 0 y[1] (numeric) = 0.8973804624812411 absolute error = 0.8973804624812411 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y[1] (closed_form) = 0 y[1] (numeric) = 0.9031994930726216 absolute error = 0.9031994930726216 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y[1] (closed_form) = 0 y[1] (numeric) = 0.9090078262078374 absolute error = 0.9090078262078374 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y[1] (closed_form) = 0 y[1] (numeric) = 0.9148055703638511 absolute error = 0.9148055703638511 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = 0 y[1] (numeric) = 0.9205928328988423 absolute error = 0.9205928328988423 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = 0 y[1] (numeric) = 0.9263697200704024 absolute error = 0.9263697200704024 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = 0 y[1] (numeric) = 0.932136337053334 absolute error = 0.932136337053334 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y[1] (closed_form) = 0 y[1] (numeric) = 0.9378927879570662 absolute error = 0.9378927879570662 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y[1] (closed_form) = 0 y[1] (numeric) = 0.9436391758426959 absolute error = 0.9436391758426959 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y[1] (closed_form) = 0 y[1] (numeric) = 0.9493756027396643 absolute error = 0.9493756027396643 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y[1] (closed_form) = 0 y[1] (numeric) = 0.9551021696620816 absolute error = 0.9551021696620816 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y[1] (closed_form) = 0 y[1] (numeric) = 0.9608189766247055 absolute error = 0.9608189766247055 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y[1] (closed_form) = 0 y[1] (numeric) = 0.9665261226585866 absolute error = 0.9665261226585866 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = 0 y[1] (numeric) = 0.972223705826387 absolute error = 0.972223705826387 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = 0 y[1] (numeric) = 0.9779118232373805 absolute error = 0.9779118232373805 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = 0 y[1] (numeric) = 0.9835905710621474 absolute error = 0.9835905710621474 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = 0 y[1] (numeric) = 0.9892600445469647 absolute error = 0.9892600445469647 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y[1] (closed_form) = 0 y[1] (numeric) = 0.9949203380279056 absolute error = 0.9949203380279056 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y[1] (closed_form) = 0 y[1] (numeric) = 1.000571544944653 absolute error = 1.000571544944653 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.569999999999938 y[1] (closed_form) = 0 y[1] (numeric) = 1.006213757854034 absolute error = 1.006213757854034 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.579999999999937 y[1] (closed_form) = 0 y[1] (numeric) = 1.01184706844329 absolute error = 1.01184706844329 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.589999999999936 y[1] (closed_form) = 0 y[1] (numeric) = 1.01747156754307 absolute error = 1.01747156754307 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.599999999999935 y[1] (closed_form) = 0 y[1] (numeric) = 1.023087345140178 absolute error = 1.023087345140178 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.609999999999933 y[1] (closed_form) = 0 y[1] (numeric) = 1.028694490390068 absolute error = 1.028694490390068 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.619999999999932 y[1] (closed_form) = 0 y[1] (numeric) = 1.034293091629091 absolute error = 1.034293091629091 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.629999999999931 y[1] (closed_form) = 0 y[1] (numeric) = 1.039883236386503 absolute error = 1.039883236386503 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.63999999999993 y[1] (closed_form) = 0 y[1] (numeric) = 1.045465011396247 absolute error = 1.045465011396247 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.649999999999929 y[1] (closed_form) = 0 y[1] (numeric) = 1.051038502608497 absolute error = 1.051038502608497 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.659999999999928 y[1] (closed_form) = 0 y[1] (numeric) = 1.056603795200997 absolute error = 1.056603795200997 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.669999999999927 y[1] (closed_form) = 0 y[1] (numeric) = 1.062160973590166 absolute error = 1.062160973590166 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.679999999999926 y[1] (closed_form) = 0 y[1] (numeric) = 1.067710121442007 absolute error = 1.067710121442007 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.689999999999925 y[1] (closed_form) = 0 y[1] (numeric) = 1.073251321682804 absolute error = 1.073251321682804 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.699999999999924 y[1] (closed_form) = 0 y[1] (numeric) = 1.078784656509614 absolute error = 1.078784656509614 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.709999999999922 y[1] (closed_form) = 0 y[1] (numeric) = 1.084310207400573 absolute error = 1.084310207400573 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.719999999999921 y[1] (closed_form) = 0 y[1] (numeric) = 1.089828055125008 absolute error = 1.089828055125008 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.72999999999992 y[1] (closed_form) = 0 y[1] (numeric) = 1.095338279753352 absolute error = 1.095338279753352 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.739999999999919 y[1] (closed_form) = 0 y[1] (numeric) = 1.100840960666893 absolute error = 1.100840960666893 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.749999999999918 y[1] (closed_form) = 0 y[1] (numeric) = 1.106336176567331 absolute error = 1.106336176567331 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.759999999999917 y[1] (closed_form) = 0 y[1] (numeric) = 1.11182400548617 absolute error = 1.11182400548617 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.769999999999916 y[1] (closed_form) = 0 y[1] (numeric) = 1.117304524793937 absolute error = 1.117304524793937 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.779999999999915 y[1] (closed_form) = 0 y[1] (numeric) = 1.122777811209229 absolute error = 1.122777811209229 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.789999999999914 y[1] (closed_form) = 0 y[1] (numeric) = 1.128243940807612 absolute error = 1.128243940807612 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.799999999999913 y[1] (closed_form) = 0 y[1] (numeric) = 1.133702989030346 absolute error = 1.133702989030346 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.809999999999911 y[1] (closed_form) = 0 y[1] (numeric) = 1.139155030692961 absolute error = 1.139155030692961 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.81999999999991 y[1] (closed_form) = 0 y[1] (numeric) = 1.14460013999369 absolute error = 1.14460013999369 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.829999999999909 y[1] (closed_form) = 0 y[1] (numeric) = 1.150038390521734 absolute error = 1.150038390521734 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.839999999999908 y[1] (closed_form) = 0 y[1] (numeric) = 1.155469855265403 absolute error = 1.155469855265403 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.849999999999907 y[1] (closed_form) = 0 y[1] (numeric) = 1.160894606620103 absolute error = 1.160894606620103 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.859999999999906 y[1] (closed_form) = 0 y[1] (numeric) = 1.166312716396186 absolute error = 1.166312716396186 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.869999999999905 y[1] (closed_form) = 0 y[1] (numeric) = 1.171724255826669 absolute error = 1.171724255826669 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.879999999999904 y[1] (closed_form) = 0 y[1] (numeric) = 1.177129295574815 absolute error = 1.177129295574815 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.889999999999903 y[1] (closed_form) = 0 y[1] (numeric) = 1.182527905741585 absolute error = 1.182527905741585 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.899999999999902 y[1] (closed_form) = 0 y[1] (numeric) = 1.18792015587297 absolute error = 1.18792015587297 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9099999999999 y[1] (closed_form) = 0 y[1] (numeric) = 1.193306114967187 absolute error = 1.193306114967187 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.919999999999899 y[1] (closed_form) = 0 y[1] (numeric) = 1.198685851481764 absolute error = 1.198685851481764 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.929999999999898 y[1] (closed_form) = 0 y[1] (numeric) = 1.2040594333405 absolute error = 1.2040594333405 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.939999999999897 y[1] (closed_form) = 0 y[1] (numeric) = 1.209426927940311 absolute error = 1.209426927940311 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.949999999999896 y[1] (closed_form) = 0 y[1] (numeric) = 1.214788402157959 absolute error = 1.214788402157959 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999895 y[1] (closed_form) = 0 y[1] (numeric) = 1.220143922356673 absolute error = 1.220143922356673 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999894 y[1] (closed_form) = 0 y[1] (numeric) = 1.225493554392663 absolute error = 1.225493554392663 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999893 y[1] (closed_form) = 0 y[1] (numeric) = 1.230837363621514 absolute error = 1.230837363621514 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999892 y[1] (closed_form) = 0 y[1] (numeric) = 1.236175414904492 absolute error = 1.236175414904492 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999891 y[1] (closed_form) = 0 y[1] (numeric) = 1.241507772614736 absolute error = 1.241507772614736 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.00999999999989 y[1] (closed_form) = 0 y[1] (numeric) = 1.246834500643355 absolute error = 1.246834500643355 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999889 y[1] (closed_form) = 0 y[1] (numeric) = 1.252155662405422 absolute error = 1.252155662405422 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999887 y[1] (closed_form) = 0 y[1] (numeric) = 1.257471320845872 absolute error = 1.257471320845872 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.039999999999886 y[1] (closed_form) = 0 y[1] (numeric) = 1.262781538445313 absolute error = 1.262781538445313 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999885 y[1] (closed_form) = 0 y[1] (numeric) = 1.268086377225734 absolute error = 1.268086377225734 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999884 y[1] (closed_form) = 0 y[1] (numeric) = 1.273385898756126 absolute error = 1.273385898756126 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999883 y[1] (closed_form) = 0 y[1] (numeric) = 1.278680164158016 absolute error = 1.278680164158016 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.079999999999882 y[1] (closed_form) = 0 y[1] (numeric) = 1.283969234110912 absolute error = 1.283969234110912 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.089999999999881 y[1] (closed_form) = 0 y[1] (numeric) = 1.289253168857662 absolute error = 1.289253168857662 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.09999999999988 y[1] (closed_form) = 0 y[1] (numeric) = 1.294532028209726 absolute error = 1.294532028209726 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999879 y[1] (closed_form) = 0 y[1] (numeric) = 1.299805871552377 absolute error = 1.299805871552377 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999878 y[1] (closed_form) = 0 y[1] (numeric) = 1.305074757849806 absolute error = 1.305074757849806 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.129999999999876 y[1] (closed_form) = 0 y[1] (numeric) = 1.31033874565016 absolute error = 1.31033874565016 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.139999999999875 y[1] (closed_form) = 0 y[1] (numeric) = 1.315597893090494 absolute error = 1.315597893090494 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.149999999999874 y[1] (closed_form) = 0 y[1] (numeric) = 1.320852257901653 absolute error = 1.320852257901653 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.159999999999873 y[1] (closed_form) = 0 y[1] (numeric) = 1.326101897413079 absolute error = 1.326101897413079 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.169999999999872 y[1] (closed_form) = 0 y[1] (numeric) = 1.331346868557537 absolute error = 1.331346868557537 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.179999999999871 y[1] (closed_form) = 0 y[1] (numeric) = 1.336587227875779 absolute error = 1.336587227875779 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.18999999999987 y[1] (closed_form) = 0 y[1] (numeric) = 1.341823031521134 absolute error = 1.341823031521134 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.199999999999869 y[1] (closed_form) = 0 y[1] (numeric) = 1.347054335264023 absolute error = 1.347054335264023 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.209999999999868 y[1] (closed_form) = 0 y[1] (numeric) = 1.352281194496419 absolute error = 1.352281194496419 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.219999999999867 y[1] (closed_form) = 0 y[1] (numeric) = 1.357503664236225 absolute error = 1.357503664236225 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.229999999999865 y[1] (closed_form) = 0 y[1] (numeric) = 1.3627217991316 absolute error = 1.3627217991316 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.239999999999864 y[1] (closed_form) = 0 y[1] (numeric) = 1.36793565346521 absolute error = 1.36793565346521 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.249999999999863 y[1] (closed_form) = 0 y[1] (numeric) = 1.373145281158426 absolute error = 1.373145281158426 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.259999999999862 y[1] (closed_form) = 0 y[1] (numeric) = 1.378350735775452 absolute error = 1.378350735775452 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.269999999999861 y[1] (closed_form) = 0 y[1] (numeric) = 1.383552070527396 absolute error = 1.383552070527396 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.27999999999986 y[1] (closed_form) = 0 y[1] (numeric) = 1.388749338276281 absolute error = 1.388749338276281 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.289999999999859 y[1] (closed_form) = 0 y[1] (numeric) = 1.393942591538997 absolute error = 1.393942591538997 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.299999999999858 y[1] (closed_form) = 0 y[1] (numeric) = 1.399131882491197 absolute error = 1.399131882491197 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.309999999999857 y[1] (closed_form) = 0 y[1] (numeric) = 1.404317262971135 absolute error = 1.404317262971135 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.319999999999856 y[1] (closed_form) = 0 y[1] (numeric) = 1.409498784483445 absolute error = 1.409498784483445 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.329999999999854 y[1] (closed_form) = 0 y[1] (numeric) = 1.414676498202875 absolute error = 1.414676498202875 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.339999999999853 y[1] (closed_form) = 0 y[1] (numeric) = 1.419850454977959 absolute error = 1.419850454977959 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.349999999999852 y[1] (closed_form) = 0 y[1] (numeric) = 1.425020705334638 absolute error = 1.425020705334638 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.359999999999851 y[1] (closed_form) = 0 y[1] (numeric) = 1.430187299479833 absolute error = 1.430187299479833 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.36999999999985 y[1] (closed_form) = 0 y[1] (numeric) = 1.435350287304964 absolute error = 1.435350287304964 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.379999999999849 y[1] (closed_form) = 0 y[1] (numeric) = 1.440509718389421 absolute error = 1.440509718389421 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.389999999999848 y[1] (closed_form) = 0 y[1] (numeric) = 1.445665642003982 absolute error = 1.445665642003982 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.399999999999847 y[1] (closed_form) = 0 y[1] (numeric) = 1.450818107114188 absolute error = 1.450818107114188 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.409999999999846 y[1] (closed_form) = 0 y[1] (numeric) = 1.45596716238367 absolute error = 1.45596716238367 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.419999999999844 y[1] (closed_form) = 0 y[1] (numeric) = 1.461112856177424 absolute error = 1.461112856177424 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.429999999999843 y[1] (closed_form) = 0 y[1] (numeric) = 1.466255236565049 absolute error = 1.466255236565049 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.439999999999842 y[1] (closed_form) = 0 y[1] (numeric) = 1.47139435132393 absolute error = 1.47139435132393 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.449999999999841 y[1] (closed_form) = 0 y[1] (numeric) = 1.476530247942389 absolute error = 1.476530247942389 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.45999999999984 y[1] (closed_form) = 0 y[1] (numeric) = 1.481662973622777 absolute error = 1.481662973622777 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.469999999999839 y[1] (closed_form) = 0 y[1] (numeric) = 1.486792575284542 absolute error = 1.486792575284542 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.479999999999838 y[1] (closed_form) = 0 y[1] (numeric) = 1.491919099567235 absolute error = 1.491919099567235 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.489999999999837 y[1] (closed_form) = 0 y[1] (numeric) = 1.497042592833495 absolute error = 1.497042592833495 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.499999999999836 y[1] (closed_form) = 0 y[1] (numeric) = 1.502163101171972 absolute error = 1.502163101171972 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.509999999999835 y[1] (closed_form) = 0 y[1] (numeric) = 1.507280670400234 absolute error = 1.507280670400234 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.519999999999833 y[1] (closed_form) = 0 y[1] (numeric) = 1.512395346067609 absolute error = 1.512395346067609 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.529999999999832 y[1] (closed_form) = 0 y[1] (numeric) = 1.517507173458012 absolute error = 1.517507173458012 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.539999999999831 y[1] (closed_form) = 0 y[1] (numeric) = 1.522616197592715 absolute error = 1.522616197592715 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.54999999999983 y[1] (closed_form) = 0 y[1] (numeric) = 1.527722463233096 absolute error = 1.527722463233096 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.559999999999829 y[1] (closed_form) = 0 y[1] (numeric) = 1.532826014883335 absolute error = 1.532826014883335 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.569999999999828 y[1] (closed_form) = 0 y[1] (numeric) = 1.537926896793089 absolute error = 1.537926896793089 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.579999999999827 y[1] (closed_form) = 0 y[1] (numeric) = 1.54302515296012 absolute error = 1.54302515296012 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.589999999999826 y[1] (closed_form) = 0 y[1] (numeric) = 1.548120827132895 absolute error = 1.548120827132895 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.599999999999825 y[1] (closed_form) = 0 y[1] (numeric) = 1.553213962813149 absolute error = 1.553213962813149 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.609999999999824 y[1] (closed_form) = 0 y[1] (numeric) = 1.55830460325841 absolute error = 1.55830460325841 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.619999999999822 y[1] (closed_form) = 0 y[1] (numeric) = 1.563392791484501 absolute error = 1.563392791484501 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.629999999999821 y[1] (closed_form) = 0 y[1] (numeric) = 1.568478570267998 absolute error = 1.568478570267998 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.63999999999982 y[1] (closed_form) = 0 y[1] (numeric) = 1.573561982148662 absolute error = 1.573561982148662 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.649999999999819 y[1] (closed_form) = 0 y[1] (numeric) = 1.57864306943184 absolute error = 1.57864306943184 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.659999999999818 y[1] (closed_form) = 0 y[1] (numeric) = 1.58372187419083 absolute error = 1.58372187419083 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.669999999999817 y[1] (closed_form) = 0 y[1] (numeric) = 1.588798438269216 absolute error = 1.588798438269216 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.679999999999816 y[1] (closed_form) = 0 y[1] (numeric) = 1.593872803283177 absolute error = 1.593872803283177 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.689999999999815 y[1] (closed_form) = 0 y[1] (numeric) = 1.598945010623766 absolute error = 1.598945010623766 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.699999999999814 y[1] (closed_form) = 0 y[1] (numeric) = 1.604015101459149 absolute error = 1.604015101459149 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.709999999999813 y[1] (closed_form) = 0 y[1] (numeric) = 1.609083116736831 absolute error = 1.609083116736831 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.719999999999811 y[1] (closed_form) = 0 y[1] (numeric) = 1.614149097185841 absolute error = 1.614149097185841 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.72999999999981 y[1] (closed_form) = 0 y[1] (numeric) = 1.619213083318893 absolute error = 1.619213083318893 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.739999999999809 y[1] (closed_form) = 0 y[1] (numeric) = 1.624275115434525 absolute error = 1.624275115434525 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.749999999999808 y[1] (closed_form) = 0 y[1] (numeric) = 1.629335233619199 absolute error = 1.629335233619199 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.759999999999807 y[1] (closed_form) = 0 y[1] (numeric) = 1.634393477749383 absolute error = 1.634393477749383 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.769999999999806 y[1] (closed_form) = 0 y[1] (numeric) = 1.639449887493607 absolute error = 1.639449887493607 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.779999999999805 y[1] (closed_form) = 0 y[1] (numeric) = 1.644504502314486 absolute error = 1.644504502314486 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.789999999999804 y[1] (closed_form) = 0 y[1] (numeric) = 1.649557361470724 absolute error = 1.649557361470724 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.799999999999803 y[1] (closed_form) = 0 y[1] (numeric) = 1.65460850401909 absolute error = 1.65460850401909 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.809999999999802 y[1] (closed_form) = 0 y[1] (numeric) = 1.65965796881637 absolute error = 1.65965796881637 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.8199999999998 y[1] (closed_form) = 0 y[1] (numeric) = 1.664705794521292 absolute error = 1.664705794521292 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.829999999999799 y[1] (closed_form) = 0 y[1] (numeric) = 1.66975201959643 absolute error = 1.66975201959643 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.839999999999798 y[1] (closed_form) = 0 y[1] (numeric) = 1.674796682310084 absolute error = 1.674796682310084 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.849999999999797 y[1] (closed_form) = 0 y[1] (numeric) = 1.679839820738132 absolute error = 1.679839820738132 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.859999999999796 y[1] (closed_form) = 0 y[1] (numeric) = 1.684881472765869 absolute error = 1.684881472765869 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.869999999999795 y[1] (closed_form) = 0 y[1] (numeric) = 1.689921676089807 absolute error = 1.689921676089807 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.879999999999794 y[1] (closed_form) = 0 y[1] (numeric) = 1.694960468219473 absolute error = 1.694960468219473 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.889999999999793 y[1] (closed_form) = 0 y[1] (numeric) = 1.699997886479166 absolute error = 1.699997886479166 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.899999999999792 y[1] (closed_form) = 0 y[1] (numeric) = 1.705033968009702 absolute error = 1.705033968009702 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.909999999999791 y[1] (closed_form) = 0 y[1] (numeric) = 1.71006874977014 absolute error = 1.71006874977014 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.919999999999789 y[1] (closed_form) = 0 y[1] (numeric) = 1.715102268539477 absolute error = 1.715102268539477 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.929999999999788 y[1] (closed_form) = 0 y[1] (numeric) = 1.720134560918332 absolute error = 1.720134560918332 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.939999999999787 y[1] (closed_form) = 0 y[1] (numeric) = 1.725165663330601 absolute error = 1.725165663330601 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.949999999999786 y[1] (closed_form) = 0 y[1] (numeric) = 1.7301956120251 absolute error = 1.7301956120251 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.959999999999785 y[1] (closed_form) = 0 y[1] (numeric) = 1.735224443077181 absolute error = 1.735224443077181 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.969999999999784 y[1] (closed_form) = 0 y[1] (numeric) = 1.740252192390333 absolute error = 1.740252192390333 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.979999999999783 y[1] (closed_form) = 0 y[1] (numeric) = 1.74527889569776 absolute error = 1.74527889569776 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.989999999999782 y[1] (closed_form) = 0 y[1] (numeric) = 1.750304588563944 absolute error = 1.750304588563944 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.999999999999781 y[1] (closed_form) = 0 y[1] (numeric) = 1.755329306386183 absolute error = 1.755329306386183 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.00999999999978 y[1] (closed_form) = 0 y[1] (numeric) = 1.760353084396115 absolute error = 1.760353084396115 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.019999999999778 y[1] (closed_form) = 0 y[1] (numeric) = 1.765375957661227 absolute error = 1.765375957661227 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.029999999999777 y[1] (closed_form) = 0 y[1] (numeric) = 1.770397961086335 absolute error = 1.770397961086335 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.039999999999776 y[1] (closed_form) = 0 y[1] (numeric) = 1.775419129415055 absolute error = 1.775419129415055 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.049999999999775 y[1] (closed_form) = 0 y[1] (numeric) = 1.780439497231256 absolute error = 1.780439497231256 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.059999999999774 y[1] (closed_form) = 0 y[1] (numeric) = 1.785459098960491 absolute error = 1.785459098960491 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.069999999999773 y[1] (closed_form) = 0 y[1] (numeric) = 1.790477968871414 absolute error = 1.790477968871414 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.079999999999772 y[1] (closed_form) = 0 y[1] (numeric) = 1.795496141077177 absolute error = 1.795496141077177 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.089999999999771 y[1] (closed_form) = 0 y[1] (numeric) = 1.800513649536817 absolute error = 1.800513649536817 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.09999999999977 y[1] (closed_form) = 0 y[1] (numeric) = 1.805530528056622 absolute error = 1.805530528056622 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.109999999999769 y[1] (closed_form) = 0 y[1] (numeric) = 1.810546810291475 absolute error = 1.810546810291475 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.119999999999767 y[1] (closed_form) = 0 y[1] (numeric) = 1.815562529746193 absolute error = 1.815562529746193 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.129999999999766 y[1] (closed_form) = 0 y[1] (numeric) = 1.820577719776846 absolute error = 1.820577719776846 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.139999999999765 y[1] (closed_form) = 0 y[1] (numeric) = 1.825592413592055 absolute error = 1.825592413592055 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.149999999999764 y[1] (closed_form) = 0 y[1] (numeric) = 1.830606644254282 absolute error = 1.830606644254282 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.159999999999763 y[1] (closed_form) = 0 y[1] (numeric) = 1.8356204446811 absolute error = 1.8356204446811 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.169999999999762 y[1] (closed_form) = 0 y[1] (numeric) = 1.840633847646453 absolute error = 1.840633847646453 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.179999999999761 y[1] (closed_form) = 0 y[1] (numeric) = 1.845646885781894 absolute error = 1.845646885781894 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.18999999999976 y[1] (closed_form) = 0 y[1] (numeric) = 1.850659591577814 absolute error = 1.850659591577814 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.199999999999759 y[1] (closed_form) = 0 y[1] (numeric) = 1.855671997384656 absolute error = 1.855671997384656 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.209999999999757 y[1] (closed_form) = 0 y[1] (numeric) = 1.860684135414112 absolute error = 1.860684135414112 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.219999999999756 y[1] (closed_form) = 0 y[1] (numeric) = 1.865696037740306 absolute error = 1.865696037740306 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.229999999999755 y[1] (closed_form) = 0 y[1] (numeric) = 1.870707736300971 absolute error = 1.870707736300971 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.239999999999754 y[1] (closed_form) = 0 y[1] (numeric) = 1.875719262898599 absolute error = 1.875719262898599 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.249999999999753 y[1] (closed_form) = 0 y[1] (numeric) = 1.880730649201587 absolute error = 1.880730649201587 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.259999999999752 y[1] (closed_form) = 0 y[1] (numeric) = 1.885741926745369 absolute error = 1.885741926745369 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.269999999999751 y[1] (closed_form) = 0 y[1] (numeric) = 1.890753126933531 absolute error = 1.890753126933531 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.27999999999975 y[1] (closed_form) = 0 y[1] (numeric) = 1.895764281038915 absolute error = 1.895764281038915 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.289999999999749 y[1] (closed_form) = 0 y[1] (numeric) = 1.900775420204711 absolute error = 1.900775420204711 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.299999999999748 y[1] (closed_form) = 0 y[1] (numeric) = 1.905786575445533 absolute error = 1.905786575445533 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.309999999999746 y[1] (closed_form) = 0 y[1] (numeric) = 1.910797777648488 absolute error = 1.910797777648488 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.319999999999745 y[1] (closed_form) = 0 y[1] (numeric) = 1.915809057574229 absolute error = 1.915809057574229 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.329999999999744 y[1] (closed_form) = 0 y[1] (numeric) = 1.920820445857992 absolute error = 1.920820445857992 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.339999999999743 y[1] (closed_form) = 0 y[1] (numeric) = 1.925831973010632 absolute error = 1.925831973010632 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.349999999999742 y[1] (closed_form) = 0 y[1] (numeric) = 1.930843669419635 absolute error = 1.930843669419635 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.359999999999741 y[1] (closed_form) = 0 y[1] (numeric) = 1.935855565350125 absolute error = 1.935855565350125 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.36999999999974 y[1] (closed_form) = 0 y[1] (numeric) = 1.940867690945859 absolute error = 1.940867690945859 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.379999999999739 y[1] (closed_form) = 0 y[1] (numeric) = 1.945880076230208 absolute error = 1.945880076230208 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.389999999999738 y[1] (closed_form) = 0 y[1] (numeric) = 1.950892751107127 absolute error = 1.950892751107127 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.399999999999737 y[1] (closed_form) = 0 y[1] (numeric) = 1.955905745362121 absolute error = 1.955905745362121 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.409999999999735 y[1] (closed_form) = 0 y[1] (numeric) = 1.960919088663183 absolute error = 1.960919088663183 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.419999999999734 y[1] (closed_form) = 0 y[1] (numeric) = 1.965932810561742 absolute error = 1.965932810561742 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.429999999999733 y[1] (closed_form) = 0 y[1] (numeric) = 1.970946940493586 absolute error = 1.970946940493586 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.439999999999732 y[1] (closed_form) = 0 y[1] (numeric) = 1.975961507779775 absolute error = 1.975961507779775 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.449999999999731 y[1] (closed_form) = 0 y[1] (numeric) = 1.980976541627554 absolute error = 1.980976541627554 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.45999999999973 y[1] (closed_form) = 0 y[1] (numeric) = 1.985992071131241 absolute error = 1.985992071131241 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.469999999999729 y[1] (closed_form) = 0 y[1] (numeric) = 1.991008125273119 absolute error = 1.991008125273119 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.479999999999728 y[1] (closed_form) = 0 y[1] (numeric) = 1.996024732924304 absolute error = 1.996024732924304 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.489999999999727 y[1] (closed_form) = 0 y[1] (numeric) = 2.001041922845617 absolute error = 2.001041922845617 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.499999999999726 y[1] (closed_form) = 0 y[1] (numeric) = 2.006059723688432 absolute error = 2.006059723688432 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.509999999999724 y[1] (closed_form) = 0 y[1] (numeric) = 2.011078163995526 absolute error = 2.011078163995526 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.519999999999723 y[1] (closed_form) = 0 y[1] (numeric) = 2.016097272201914 absolute error = 2.016097272201914 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.529999999999722 y[1] (closed_form) = 0 y[1] (numeric) = 2.021117076635671 absolute error = 2.021117076635671 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.539999999999721 y[1] (closed_form) = 0 y[1] (numeric) = 2.026137605518754 absolute error = 2.026137605518754 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.54999999999972 y[1] (closed_form) = 0 y[1] (numeric) = 2.031158886967803 absolute error = 2.031158886967803 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.559999999999719 y[1] (closed_form) = 0 y[1] (numeric) = 2.036180948994944 absolute error = 2.036180948994944 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.569999999999718 y[1] (closed_form) = 0 y[1] (numeric) = 2.041203819508574 absolute error = 2.041203819508574 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.579999999999717 y[1] (closed_form) = 0 y[1] (numeric) = 2.046227526314143 absolute error = 2.046227526314143 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.589999999999716 y[1] (closed_form) = 0 y[1] (numeric) = 2.051252097114923 absolute error = 2.051252097114923 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.599999999999715 y[1] (closed_form) = 0 y[1] (numeric) = 2.05627755951277 absolute error = 2.05627755951277 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.609999999999713 y[1] (closed_form) = 0 y[1] (numeric) = 2.061303941008878 absolute error = 2.061303941008878 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.619999999999712 y[1] (closed_form) = 0 y[1] (numeric) = 2.066331269004524 absolute error = 2.066331269004524 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.629999999999711 y[1] (closed_form) = 0 y[1] (numeric) = 2.071359570801799 absolute error = 2.071359570801799 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.63999999999971 y[1] (closed_form) = 0 y[1] (numeric) = 2.076388873604341 absolute error = 2.076388873604341 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.649999999999709 y[1] (closed_form) = 0 y[1] (numeric) = 2.081419204518053 absolute error = 2.081419204518053 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.659999999999708 y[1] (closed_form) = 0 y[1] (numeric) = 2.08645059055181 absolute error = 2.08645059055181 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.669999999999707 y[1] (closed_form) = 0 y[1] (numeric) = 2.091483058618168 absolute error = 2.091483058618168 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.679999999999706 y[1] (closed_form) = 0 y[1] (numeric) = 2.096516635534053 absolute error = 2.096516635534053 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.689999999999705 y[1] (closed_form) = 0 y[1] (numeric) = 2.10155134802145 absolute error = 2.10155134802145 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.699999999999704 y[1] (closed_form) = 0 y[1] (numeric) = 2.106587222708081 absolute error = 2.106587222708081 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.709999999999702 y[1] (closed_form) = 0 y[1] (numeric) = 2.111624286128077 absolute error = 2.111624286128077 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.719999999999701 y[1] (closed_form) = 0 y[1] (numeric) = 2.116662564722639 absolute error = 2.116662564722639 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.7299999999997 y[1] (closed_form) = 0 y[1] (numeric) = 2.121702084840698 absolute error = 2.121702084840698 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.739999999999699 y[1] (closed_form) = 0 y[1] (numeric) = 2.126742872739558 absolute error = 2.126742872739558 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.749999999999698 y[1] (closed_form) = 0 y[1] (numeric) = 2.131784954585537 absolute error = 2.131784954585537 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.759999999999697 y[1] (closed_form) = 0 y[1] (numeric) = 2.136828356454605 absolute error = 2.136828356454605 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.769999999999696 y[1] (closed_form) = 0 y[1] (numeric) = 2.141873104333006 absolute error = 2.141873104333006 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.779999999999695 y[1] (closed_form) = 0 y[1] (numeric) = 2.146919224117874 absolute error = 2.146919224117874 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.789999999999694 y[1] (closed_form) = 0 y[1] (numeric) = 2.15196674161785 absolute error = 2.15196674161785 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.799999999999693 y[1] (closed_form) = 0 y[1] (numeric) = 2.157015682553685 absolute error = 2.157015682553685 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.809999999999691 y[1] (closed_form) = 0 y[1] (numeric) = 2.162066072558836 absolute error = 2.162066072558836 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.81999999999969 y[1] (closed_form) = 0 y[1] (numeric) = 2.167117937180054 absolute error = 2.167117937180054 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.829999999999689 y[1] (closed_form) = 0 y[1] (numeric) = 2.172171301877973 absolute error = 2.172171301877973 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.839999999999688 y[1] (closed_form) = 0 y[1] (numeric) = 2.177226192027686 absolute error = 2.177226192027686 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.849999999999687 y[1] (closed_form) = 0 y[1] (numeric) = 2.182282632919309 absolute error = 2.182282632919309 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.859999999999686 y[1] (closed_form) = 0 y[1] (numeric) = 2.187340649758553 absolute error = 2.187340649758553 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.869999999999685 y[1] (closed_form) = 0 y[1] (numeric) = 2.192400267667277 absolute error = 2.192400267667277 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.879999999999684 y[1] (closed_form) = 0 y[1] (numeric) = 2.197461511684036 absolute error = 2.197461511684036 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.889999999999683 y[1] (closed_form) = 0 y[1] (numeric) = 2.202524406764629 absolute error = 2.202524406764629 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.899999999999681 y[1] (closed_form) = 0 y[1] (numeric) = 2.207588977782634 absolute error = 2.207588977782634 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.90999999999968 y[1] (closed_form) = 0 y[1] (numeric) = 2.212655249529945 absolute error = 2.212655249529945 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.919999999999679 y[1] (closed_form) = 0 y[1] (numeric) = 2.217723246717288 absolute error = 2.217723246717288 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.929999999999678 y[1] (closed_form) = 0 y[1] (numeric) = 2.222792993974747 absolute error = 2.222792993974747 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.939999999999677 y[1] (closed_form) = 0 y[1] (numeric) = 2.227864515852274 absolute error = 2.227864515852274 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.949999999999676 y[1] (closed_form) = 0 y[1] (numeric) = 2.232937836820198 absolute error = 2.232937836820198 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.959999999999675 y[1] (closed_form) = 0 y[1] (numeric) = 2.238012981269722 absolute error = 2.238012981269722 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.969999999999674 y[1] (closed_form) = 0 y[1] (numeric) = 2.243089973513425 absolute error = 2.243089973513425 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.979999999999673 y[1] (closed_form) = 0 y[1] (numeric) = 2.248168837785742 absolute error = 2.248168837785742 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.989999999999672 y[1] (closed_form) = 0 y[1] (numeric) = 2.253249598243455 absolute error = 2.253249598243455 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.99999999999967 y[1] (closed_form) = 0 y[1] (numeric) = 2.258332278966168 absolute error = 2.258332278966168 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.009999999999674 y[1] (closed_form) = 0 y[1] (numeric) = 2.263416903956776 absolute error = 2.263416903956776 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.019999999999677 y[1] (closed_form) = 0 y[1] (numeric) = 2.268503497141937 absolute error = 2.268503497141937 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.029999999999681 y[1] (closed_form) = 0 y[1] (numeric) = 2.273592082372529 absolute error = 2.273592082372529 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.039999999999684 y[1] (closed_form) = 0 y[1] (numeric) = 2.278682683424105 absolute error = 2.278682683424105 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.049999999999687 y[1] (closed_form) = 0 y[1] (numeric) = 2.283775323997344 absolute error = 2.283775323997344 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.059999999999691 y[1] (closed_form) = 0 y[1] (numeric) = 2.288870027718497 absolute error = 2.288870027718497 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.069999999999694 y[1] (closed_form) = 0 y[1] (numeric) = 2.293966818139824 absolute error = 2.293966818139824 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.079999999999697 y[1] (closed_form) = 0 y[1] (numeric) = 2.299065718740026 absolute error = 2.299065718740026 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.089999999999701 y[1] (closed_form) = 0 y[1] (numeric) = 2.304166752924678 absolute error = 2.304166752924678 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.099999999999704 y[1] (closed_form) = 0 y[1] (numeric) = 2.30926994402665 absolute error = 2.30926994402665 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.109999999999707 y[1] (closed_form) = 0 y[1] (numeric) = 2.314375315306524 absolute error = 2.314375315306524 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.119999999999711 y[1] (closed_form) = 0 y[1] (numeric) = 2.319482889953011 absolute error = 2.319482889953011 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.129999999999714 y[1] (closed_form) = 0 y[1] (numeric) = 2.324592691083355 absolute error = 2.324592691083355 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.139999999999717 y[1] (closed_form) = 0 y[1] (numeric) = 2.329704741743737 absolute error = 2.329704741743737 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.149999999999721 y[1] (closed_form) = 0 y[1] (numeric) = 2.334819064909677 absolute error = 2.334819064909677 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.159999999999724 y[1] (closed_form) = 0 y[1] (numeric) = 2.339935683486421 absolute error = 2.339935683486421 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.169999999999727 y[1] (closed_form) = 0 y[1] (numeric) = 2.345054620309335 absolute error = 2.345054620309335 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.179999999999731 y[1] (closed_form) = 0 y[1] (numeric) = 2.350175898144286 absolute error = 2.350175898144286 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.189999999999734 y[1] (closed_form) = 0 y[1] (numeric) = 2.355299539688021 absolute error = 2.355299539688021 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.199999999999737 y[1] (closed_form) = 0 y[1] (numeric) = 2.360425567568543 absolute error = 2.360425567568543 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.209999999999741 y[1] (closed_form) = 0 y[1] (numeric) = 2.365554004345479 absolute error = 2.365554004345479 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.219999999999744 y[1] (closed_form) = 0 y[1] (numeric) = 2.370684872510441 absolute error = 2.370684872510441 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.229999999999747 y[1] (closed_form) = 0 y[1] (numeric) = 2.3758181944874 absolute error = 2.3758181944874 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.239999999999751 y[1] (closed_form) = 0 y[1] (numeric) = 2.380953992633022 absolute error = 2.380953992633022 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.249999999999754 y[1] (closed_form) = 0 y[1] (numeric) = 2.386092289237038 absolute error = 2.386092289237038 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.259999999999757 y[1] (closed_form) = 0 y[1] (numeric) = 2.391233106522577 absolute error = 2.391233106522577 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.269999999999761 y[1] (closed_form) = 0 y[1] (numeric) = 2.396376466646519 absolute error = 2.396376466646519 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.279999999999764 y[1] (closed_form) = 0 y[1] (numeric) = 2.401522391699826 absolute error = 2.401522391699826 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.289999999999767 y[1] (closed_form) = 0 y[1] (numeric) = 2.406670903707879 absolute error = 2.406670903707879 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.299999999999771 y[1] (closed_form) = 0 y[1] (numeric) = 2.411822024630808 absolute error = 2.411822024630808 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.309999999999774 y[1] (closed_form) = 0 y[1] (numeric) = 2.416975776363814 absolute error = 2.416975776363814 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.319999999999777 y[1] (closed_form) = 0 y[1] (numeric) = 2.422132180737497 absolute error = 2.422132180737497 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.329999999999781 y[1] (closed_form) = 0 y[1] (numeric) = 2.427291259518166 absolute error = 2.427291259518166 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.339999999999784 y[1] (closed_form) = 0 y[1] (numeric) = 2.432453034408153 absolute error = 2.432453034408153 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.349999999999787 y[1] (closed_form) = 0 y[1] (numeric) = 2.437617527046126 absolute error = 2.437617527046126 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.359999999999791 y[1] (closed_form) = 0 y[1] (numeric) = 2.44278475900739 absolute error = 2.44278475900739 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.369999999999794 y[1] (closed_form) = 0 y[1] (numeric) = 2.44795475180419 absolute error = 2.44795475180419 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.379999999999797 y[1] (closed_form) = 0 y[1] (numeric) = 2.453127526886005 absolute error = 2.453127526886005 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.389999999999801 y[1] (closed_form) = 0 y[1] (numeric) = 2.458303105639846 absolute error = 2.458303105639846 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.399999999999804 y[1] (closed_form) = 0 y[1] (numeric) = 2.463481509390536 absolute error = 2.463481509390536 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.409999999999807 y[1] (closed_form) = 0 y[1] (numeric) = 2.468662759401007 absolute error = 2.468662759401007 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.419999999999811 y[1] (closed_form) = 0 y[1] (numeric) = 2.47384687687257 absolute error = 2.47384687687257 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.429999999999814 y[1] (closed_form) = 0 y[1] (numeric) = 2.479033882945201 absolute error = 2.479033882945201 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.439999999999817 y[1] (closed_form) = 0 y[1] (numeric) = 2.484223798697809 absolute error = 2.484223798697809 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.449999999999821 y[1] (closed_form) = 0 y[1] (numeric) = 2.48941664514851 absolute error = 2.48941664514851 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.459999999999824 y[1] (closed_form) = 0 y[1] (numeric) = 2.49461244325489 absolute error = 2.49461244325489 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.469999999999827 y[1] (closed_form) = 0 y[1] (numeric) = 2.499811213914271 absolute error = 2.499811213914271 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.479999999999831 y[1] (closed_form) = 0 y[1] (numeric) = 2.505012977963966 absolute error = 2.505012977963966 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.489999999999834 y[1] (closed_form) = 0 y[1] (numeric) = 2.510217756181539 absolute error = 2.510217756181539 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.499999999999837 y[1] (closed_form) = 0 y[1] (numeric) = 2.515425569285055 absolute error = 2.515425569285055 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.509999999999841 y[1] (closed_form) = 0 y[1] (numeric) = 2.520636437933325 absolute error = 2.520636437933325 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.519999999999844 y[1] (closed_form) = 0 y[1] (numeric) = 2.525850382726158 absolute error = 2.525850382726158 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.529999999999847 y[1] (closed_form) = 0 y[1] (numeric) = 2.531067424204597 absolute error = 2.531067424204597 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.539999999999851 y[1] (closed_form) = 0 y[1] (numeric) = 2.536287582851156 absolute error = 2.536287582851156 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.549999999999854 y[1] (closed_form) = 0 y[1] (numeric) = 2.541510879090059 absolute error = 2.541510879090059 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.559999999999858 y[1] (closed_form) = 0 y[1] (numeric) = 2.54673733328747 absolute error = 2.54673733328747 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.569999999999861 y[1] (closed_form) = 0 y[1] (numeric) = 2.55196696575172 absolute error = 2.55196696575172 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.579999999999864 y[1] (closed_form) = 0 y[1] (numeric) = 2.557199796733529 absolute error = 2.557199796733529 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.589999999999868 y[1] (closed_form) = 0 y[1] (numeric) = 2.562435846426232 absolute error = 2.562435846426232 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.599999999999871 y[1] (closed_form) = 0 y[1] (numeric) = 2.567675134965994 absolute error = 2.567675134965994 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.609999999999874 y[1] (closed_form) = 0 y[1] (numeric) = 2.572917682432028 absolute error = 2.572917682432028 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.619999999999878 y[1] (closed_form) = 0 y[1] (numeric) = 2.578163508846802 absolute error = 2.578163508846802 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.629999999999881 y[1] (closed_form) = 0 y[1] (numeric) = 2.583412634176249 absolute error = 2.583412634176249 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.639999999999884 y[1] (closed_form) = 0 y[1] (numeric) = 2.588665078329975 absolute error = 2.588665078329975 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.649999999999888 y[1] (closed_form) = 0 y[1] (numeric) = 2.593920861161458 absolute error = 2.593920861161458 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.659999999999891 y[1] (closed_form) = 0 y[1] (numeric) = 2.599180002468248 absolute error = 2.599180002468248 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.669999999999894 y[1] (closed_form) = 0 y[1] (numeric) = 2.604442521992165 absolute error = 2.604442521992165 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.679999999999898 y[1] (closed_form) = 0 y[1] (numeric) = 2.609708439419486 absolute error = 2.609708439419486 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.689999999999901 y[1] (closed_form) = 0 y[1] (numeric) = 2.614977774381146 absolute error = 2.614977774381146 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.699999999999904 y[1] (closed_form) = 0 y[1] (numeric) = 2.620250546452911 absolute error = 2.620250546452911 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.709999999999908 y[1] (closed_form) = 0 y[1] (numeric) = 2.625526775155572 absolute error = 2.625526775155572 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.719999999999911 y[1] (closed_form) = 0 y[1] (numeric) = 2.630806479955124 absolute error = 2.630806479955124 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.729999999999914 y[1] (closed_form) = 0 y[1] (numeric) = 2.636089680262943 absolute error = 2.636089680262943 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.739999999999918 y[1] (closed_form) = 0 y[1] (numeric) = 2.64137639543596 absolute error = 2.64137639543596 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.749999999999921 y[1] (closed_form) = 0 y[1] (numeric) = 2.646666644776837 absolute error = 2.646666644776837 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.759999999999924 y[1] (closed_form) = 0 y[1] (numeric) = 2.651960447534133 absolute error = 2.651960447534133 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.769999999999928 y[1] (closed_form) = 0 y[1] (numeric) = 2.657257822902476 absolute error = 2.657257822902476 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.779999999999931 y[1] (closed_form) = 0 y[1] (numeric) = 2.662558790022719 absolute error = 2.662558790022719 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.789999999999934 y[1] (closed_form) = 0 y[1] (numeric) = 2.66786336798211 absolute error = 2.66786336798211 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.799999999999938 y[1] (closed_form) = 0 y[1] (numeric) = 2.673171575814442 absolute error = 2.673171575814442 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.809999999999941 y[1] (closed_form) = 0 y[1] (numeric) = 2.678483432500215 absolute error = 2.678483432500215 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.819999999999944 y[1] (closed_form) = 0 y[1] (numeric) = 2.68379895696679 absolute error = 2.68379895696679 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.829999999999948 y[1] (closed_form) = 0 y[1] (numeric) = 2.689118168088532 absolute error = 2.689118168088532 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.839999999999951 y[1] (closed_form) = 0 y[1] (numeric) = 2.694441084686964 absolute error = 2.694441084686964 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.849999999999954 y[1] (closed_form) = 0 y[1] (numeric) = 2.699767725530911 absolute error = 2.699767725530911 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.859999999999958 y[1] (closed_form) = 0 y[1] (numeric) = 2.705098109336643 absolute error = 2.705098109336643 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.869999999999961 y[1] (closed_form) = 0 y[1] (numeric) = 2.710432254768012 absolute error = 2.710432254768012 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.879999999999964 y[1] (closed_form) = 0 y[1] (numeric) = 2.715770180436593 absolute error = 2.715770180436593 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.889999999999968 y[1] (closed_form) = 0 y[1] (numeric) = 2.721111904901818 absolute error = 2.721111904901818 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.899999999999971 y[1] (closed_form) = 0 y[1] (numeric) = 2.726457446671106 absolute error = 2.726457446671106 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.909999999999974 y[1] (closed_form) = 0 y[1] (numeric) = 2.731806824199996 absolute error = 2.731806824199996 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.919999999999978 y[1] (closed_form) = 0 y[1] (numeric) = 2.737160055892272 absolute error = 2.737160055892272 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.929999999999981 y[1] (closed_form) = 0 y[1] (numeric) = 2.742517160100092 absolute error = 2.742517160100092 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.939999999999984 y[1] (closed_form) = 0 y[1] (numeric) = 2.747878155124103 absolute error = 2.747878155124103 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.949999999999988 y[1] (closed_form) = 0 y[1] (numeric) = 2.753243059213569 absolute error = 2.753243059213569 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.959999999999991 y[1] (closed_form) = 0 y[1] (numeric) = 2.758611890566484 absolute error = 2.758611890566484 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.969999999999994 y[1] (closed_form) = 0 y[1] (numeric) = 2.763984667329689 absolute error = 2.763984667329689 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.979999999999998 y[1] (closed_form) = 0 y[1] (numeric) = 2.769361407598986 absolute error = 2.769361407598986 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.990000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 2.774742129419247 absolute error = 2.774742129419247 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 Finished! diff ( y , x , 1 ) = expt ( sin ( 0.1 * x ) , sin ( 0.2 * x ) ) ; Iterations = 4900 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %