##############ECHO OF PROBLEM################# ##############temp/div_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) / 2.0 ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=40; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(-5.0); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; // 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(neg(cos(c(x)))/c(2.0)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = -0.1418310927316131 y[1] (numeric) = -0.1418310927316131 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.989999999999997 y[1] (closed_form) = -0.137029459772712 y[1] (numeric) = -0.1370294597727136 absolute error = 1.609823385706477e-15 relative error = 1.174800943079436e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.979999999999993 y[1] (closed_form) = -0.1322141239820245 y[1] (numeric) = -0.1322141239820277 absolute error = 3.219646771412954e-15 relative error = 2.43517611768217e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.96999999999999 y[1] (closed_form) = -0.1273855668891168 y[1] (numeric) = -0.1273855668891216 absolute error = 4.801714581503802e-15 relative error = 3.769433773987498e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.959999999999987 y[1] (closed_form) = -0.1225442713456744 y[1] (numeric) = -0.1225442713456808 absolute error = 6.425415755018093e-15 relative error = 5.243342413692436e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.949999999999983 y[1] (closed_form) = -0.1176907214772174 y[1] (numeric) = -0.1176907214772254 absolute error = 8.049116928532385e-15 relative error = 6.839211135340466e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.93999999999998 y[1] (closed_form) = -0.1128254026346879 y[1] (numeric) = -0.1128254026346976 absolute error = 9.658940314238862e-15 relative error = 8.560962415098215e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.929999999999977 y[1] (closed_form) = -0.1079488013459158 y[1] (numeric) = -0.1079488013459271 absolute error = 1.126876369994534e-14 relative error = 1.043898918695283e-11 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.919999999999973 y[1] (closed_form) = -0.1030614052669661 y[1] (numeric) = -0.1030614052669791 absolute error = 1.292022044907526e-14 relative error = 1.253642953500123e-11 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.90999999999997 y[1] (closed_form) = -0.09816370313337398 y[1] (numeric) = -0.09816370313338856 absolute error = 1.457167719820518e-14 relative error = 1.484426191461705e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.899999999999967 y[1] (closed_form) = -0.0932561847112713 y[1] (numeric) = -0.09325618471128749 absolute error = 1.619537837171947e-14 relative error = 1.73665461672721e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.889999999999963 y[1] (closed_form) = -0.08833934074841071 y[1] (numeric) = -0.08833934074842854 absolute error = 1.783295733304158e-14 relative error = 2.018688070565254e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.87999999999996 y[1] (closed_form) = -0.08341366292509114 y[1] (numeric) = -0.08341366292511061 absolute error = 1.947053629436368e-14 relative error = 2.334214277563739e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.869999999999957 y[1] (closed_form) = -0.07847964380499022 y[1] (numeric) = -0.07847964380501134 absolute error = 2.11219930434936e-14 relative error = 2.691397669436229e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.859999999999953 y[1] (closed_form) = -0.07353777678590828 y[1] (numeric) = -0.07353777678593103 absolute error = 2.274569421700789e-14 relative error = 3.093062533455125e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.84999999999995 y[1] (closed_form) = -0.06858855605042902 y[1] (numeric) = -0.06858855605045341 absolute error = 2.439715096613781e-14 relative error = 3.557029389596723e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.839999999999947 y[1] (closed_form) = -0.06363247651650164 y[1] (numeric) = -0.0636324765165277 absolute error = 2.606248550307555e-14 relative error = 4.095783620226825e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.829999999999943 y[1] (closed_form) = -0.0586700337879495 y[1] (numeric) = -0.05867003378797721 absolute error = 2.771394225220547e-14 relative error = 4.72369631699407e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.81999999999994 y[1] (closed_form) = -0.0537017241049101 y[1] (numeric) = -0.05370172410493947 absolute error = 2.936539900133539e-14 relative error = 5.468241381592892e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.809999999999937 y[1] (closed_form) = -0.04872804429421149 y[1] (numeric) = -0.0487280442942425 absolute error = 3.101685575046531e-14 relative error = 6.365298710367055e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.799999999999933 y[1] (closed_form) = -0.04374949171969002 y[1] (numeric) = -0.04374949171972269 absolute error = 3.267525139349914e-14 relative error = 7.468715660253768e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.78999999999993 y[1] (closed_form) = -0.03876656423245436 y[1] (numeric) = -0.03876656423248871 absolute error = 3.434752482434078e-14 relative error = 8.860090003948795e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.779999999999927 y[1] (closed_form) = -0.03377976012110083 y[1] (numeric) = -0.03377976012113684 absolute error = 3.601285936127852e-14 relative error = 1.066107610953186e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.769999999999923 y[1] (closed_form) = -0.02878957806188488 y[1] (numeric) = -0.02878957806192256 absolute error = 3.76816633451682e-14 relative error = 1.308864730985958e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.75999999999992 y[1] (closed_form) = -0.02379651706885398 y[1] (numeric) = -0.02379651706889333 absolute error = 3.934699788210594e-14 relative error = 1.65347717770031e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.749999999999917 y[1] (closed_form) = -0.01880107644394656 y[1] (numeric) = -0.01880107644398758 absolute error = 4.101927131294758e-14 relative error = 2.18175121170547e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.739999999999913 y[1] (closed_form) = -0.01380375572706226 y[1] (numeric) = -0.01380375572710494 absolute error = 4.268807529683727e-14 relative error = 3.09249715373819e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.72999999999991 y[1] (closed_form) = -0.008805054646108335 y[1] (numeric) = -0.00880505464615269 absolute error = 4.435514455725098e-14 relative error = 5.037463859109052e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.719999999999906 y[1] (closed_form) = -0.003805473067027323 y[1] (numeric) = -0.003805473067073348 absolute error = 4.602524958374765e-14 relative error = 1.209448832591546e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.709999999999903 y[1] (closed_form) = 0.001194489056189175 y[1] (numeric) = 0.00119448905614148 absolute error = 4.769448724850633e-14 relative error = 3.992877707952212e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.6999999999999 y[1] (closed_form) = 0.006194331731495458 y[1] (numeric) = 0.006194331731446093 absolute error = 4.9365025955872e-14 relative error = 7.969386867815378e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.689999999999896 y[1] (closed_form) = 0.01119355497879052 y[1] (numeric) = 0.01119355497873948 absolute error = 5.103556466323766e-14 relative error = 4.559370527052358e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.679999999999893 y[1] (closed_form) = 0.01619165887991563 y[1] (numeric) = 0.01619165887986292 absolute error = 5.270436864712735e-14 relative error = 3.255032053108692e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.66999999999989 y[1] (closed_form) = 0.02118814362864575 y[1] (numeric) = 0.02118814362859138 absolute error = 5.437317263101704e-14 relative error = 2.566207478294894e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.659999999999886 y[1] (closed_form) = 0.02618250958066973 y[1] (numeric) = 0.0261825095806137 absolute error = 5.603850716795478e-14 relative error = 2.140303128517803e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.649999999999883 y[1] (closed_form) = 0.03117425730355433 y[1] (numeric) = 0.03117425730349663 absolute error = 5.770731115184446e-14 relative error = 1.851120640659656e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.63999999999988 y[1] (closed_form) = 0.03616288762668704 y[1] (numeric) = 0.03616288762662766 absolute error = 5.937611513573415e-14 relative error = 1.641907464599605e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.629999999999876 y[1] (closed_form) = 0.04114790169119271 y[1] (numeric) = 0.04114790169113167 absolute error = 6.103451077876798e-14 relative error = 1.483295824822868e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.619999999999873 y[1] (closed_form) = 0.04612880099981907 y[1] (numeric) = 0.04612880099975637 absolute error = 6.269290642180181e-14 relative error = 1.359083805842855e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.60999999999987 y[1] (closed_form) = 0.05110508746678597 y[1] (numeric) = 0.05110508746672163 absolute error = 6.434436317093173e-14 relative error = 1.259059838470097e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.599999999999866 y[1] (closed_form) = 0.05607626346759363 y[1] (numeric) = 0.05607626346752763 absolute error = 6.600275881396556e-14 relative error = 1.177017774233628e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.589999999999863 y[1] (closed_form) = 0.06104183188878459 y[1] (numeric) = 0.06104183188871694 absolute error = 6.764727666919157e-14 relative error = 1.108211771764022e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.57999999999986 y[1] (closed_form) = 0.06600129617765468 y[1] (numeric) = 0.06600129617758539 absolute error = 6.929179452441758e-14 relative error = 1.049855056450799e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.569999999999856 y[1] (closed_form) = 0.07095416039190791 y[1] (numeric) = 0.07095416039183697 absolute error = 7.09432512735475e-14 relative error = 9.99846251181042e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.559999999999853 y[1] (closed_form) = 0.07589992924925021 y[1] (numeric) = 0.07589992924917759 absolute error = 7.262246359829305e-14 relative error = 9.568185941228722e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.54999999999985 y[1] (closed_form) = 0.08083810817691731 y[1] (numeric) = 0.08083810817684303 absolute error = 7.427392034742297e-14 relative error = 9.187983492249922e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.539999999999846 y[1] (closed_form) = 0.08576820336113158 y[1] (numeric) = 0.08576820336105567 absolute error = 7.591149930874508e-14 relative error = 8.850774102042884e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.529999999999843 y[1] (closed_form) = 0.09068972179648299 y[1] (numeric) = 0.09068972179640546 absolute error = 7.753520048225937e-14 relative error = 8.54950251763439e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.51999999999984 y[1] (closed_form) = 0.09560217133522927 y[1] (numeric) = 0.0956021713351501 absolute error = 7.917277944358148e-14 relative error = 8.281483394970383e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.509999999999836 y[1] (closed_form) = 0.1005050607365102 y[1] (numeric) = 0.1005050607364294 absolute error = 8.081035840490358e-14 relative error = 8.040426801667292e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.499999999999833 y[1] (closed_form) = 0.1053978997154715 y[1] (numeric) = 0.105397899715389 absolute error = 8.242018179061006e-14 relative error = 7.819907418753955e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.48999999999983 y[1] (closed_form) = 0.1102801989922924 y[1] (numeric) = 0.1102801989922084 absolute error = 8.405776075193216e-14 relative error = 7.622198864349803e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.479999999999826 y[1] (closed_form) = 0.115151470341114 y[1] (numeric) = 0.1151514703410283 absolute error = 8.569533971325427e-14 relative error = 7.441966607929395e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.469999999999823 y[1] (closed_form) = 0.1200112266388608 y[1] (numeric) = 0.1200112266387734 absolute error = 8.733291867457638e-14 relative error = 7.277062414950533e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.45999999999982 y[1] (closed_form) = 0.1248589819139526 y[1] (numeric) = 0.1248589819138637 absolute error = 8.892886427247504e-14 relative error = 7.122344176549586e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.449999999999816 y[1] (closed_form) = 0.1296942513949018 y[1] (numeric) = 0.1296942513948113 absolute error = 9.053868765818152e-14 relative error = 6.980932977707947e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.439999999999813 y[1] (closed_form) = 0.1345165515587898 y[1] (numeric) = 0.1345165515586976 absolute error = 9.217626661950362e-14 relative error = 6.852410766657102e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.42999999999981 y[1] (closed_form) = 0.1393254001796186 y[1] (numeric) = 0.1393254001795248 absolute error = 9.375833442959447e-14 relative error = 6.72945021573389e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.419999999999806 y[1] (closed_form) = 0.1441203163765335 y[1] (numeric) = 0.1441203163764382 absolute error = 9.534040223968532e-14 relative error = 6.615333954069032e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.409999999999803 y[1] (closed_form) = 0.1489008206619106 y[1] (numeric) = 0.1489008206618137 absolute error = 9.695022562539179e-14 relative error = 6.511060529714865e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.3999999999998 y[1] (closed_form) = 0.1536664349893052 y[1] (numeric) = 0.1536664349892066 absolute error = 9.856004901109827e-14 relative error = 6.413895722768464e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.389999999999796 y[1] (closed_form) = 0.1584166828012557 y[1] (numeric) = 0.1584166828011556 absolute error = 1.000866056699579e-13 relative error = 6.31793343353384e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.379999999999793 y[1] (closed_form) = 0.1631510890769396 y[1] (numeric) = 0.1631510890768379 absolute error = 1.016964290556643e-13 relative error = 6.233266944832091e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.36999999999979 y[1] (closed_form) = 0.1678691803796745 y[1] (numeric) = 0.1678691803795712 absolute error = 1.033062524413708e-13 relative error = 6.15397371975726e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.359999999999786 y[1] (closed_form) = 0.172570484904262 y[1] (numeric) = 0.1725704849041571 absolute error = 1.048883202514617e-13 relative error = 6.077998813623965e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.349999999999783 y[1] (closed_form) = 0.1772545325241673 y[1] (numeric) = 0.1772545325240608 absolute error = 1.064703880615525e-13 relative error = 6.00663839425579e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.33999999999978 y[1] (closed_form) = 0.1819208548385318 y[1] (numeric) = 0.1819208548384238 absolute error = 1.079969447204121e-13 relative error = 5.936479620012086e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.329999999999776 y[1] (closed_form) = 0.1865689852190126 y[1] (numeric) = 0.1865689852189031 absolute error = 1.09579012530503e-13 relative error = 5.873377742922734e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.319999999999773 y[1] (closed_form) = 0.1911984588564452 y[1] (numeric) = 0.191198458856334 absolute error = 1.111333247649782e-13 relative error = 5.812459233702235e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.30999999999977 y[1] (closed_form) = 0.1958088128073236 y[1] (numeric) = 0.1958088128072109 absolute error = 1.126876369994534e-13 relative error = 5.754982903161684e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.299999999999766 y[1] (closed_form) = 0.2003995860400947 y[1] (numeric) = 0.2003995860399805 absolute error = 1.14214193658313e-13 relative error = 5.699322833703943e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.289999999999763 y[1] (closed_form) = 0.204970319481261 y[1] (numeric) = 0.2049703194811452 absolute error = 1.157685058927882e-13 relative error = 5.648061933346019e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.27999999999976 y[1] (closed_form) = 0.2095205560612871 y[1] (numeric) = 0.2095205560611698 absolute error = 1.172673069760322e-13 relative error = 5.596935650635167e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.269999999999756 y[1] (closed_form) = 0.2140498407603069 y[1] (numeric) = 0.2140498407601881 absolute error = 1.187661080592761e-13 relative error = 5.548525877777712e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.259999999999753 y[1] (closed_form) = 0.218557720653625 y[1] (numeric) = 0.2185577206535047 absolute error = 1.202649091425201e-13 relative error = 5.502661209260986e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.24999999999975 y[1] (closed_form) = 0.2230437449570085 y[1] (numeric) = 0.2230437449568867 absolute error = 1.21763710225764e-13 relative error = 5.459185158912836e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.239999999999746 y[1] (closed_form) = 0.2275074650717654 y[1] (numeric) = 0.2275074650716422 absolute error = 1.23262511309008e-13 relative error = 5.417954583166131e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.229999999999743 y[1] (closed_form) = 0.2319484346296042 y[1] (numeric) = 0.2319484346294794 absolute error = 1.24761312392252e-13 relative error = 5.378838300481825e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.21999999999974 y[1] (closed_form) = 0.2363662095372696 y[1] (numeric) = 0.2363662095371434 absolute error = 1.262601134754959e-13 relative error = 5.341715879045205e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.209999999999736 y[1] (closed_form) = 0.2407603480209525 y[1] (numeric) = 0.2407603480208248 absolute error = 1.27675647831893e-13 relative error = 5.303018079238773e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.199999999999733 y[1] (closed_form) = 0.2451304106704662 y[1] (numeric) = 0.245130410670337 absolute error = 1.29174448915137e-13 relative error = 5.26962152765243e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.189999999999729 y[1] (closed_form) = 0.2494759604831875 y[1] (numeric) = 0.2494759604830569 absolute error = 1.306454944227653e-13 relative error = 5.236796931044169e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.179999999999726 y[1] (closed_form) = 0.2537965629077565 y[1] (numeric) = 0.2537965629076243 absolute error = 1.321720510816249e-13 relative error = 5.207795155589378e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.169999999999723 y[1] (closed_form) = 0.2580917858875311 y[1] (numeric) = 0.2580917858873975 absolute error = 1.336153410136376e-13 relative error = 5.177047404052731e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.159999999999719 y[1] (closed_form) = 0.2623611999037926 y[1] (numeric) = 0.2623611999036576 absolute error = 1.350586309456503e-13 relative error = 5.14781267181184e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.149999999999716 y[1] (closed_form) = 0.2666043780186974 y[1] (numeric) = 0.266604378018561 absolute error = 1.363908985752005e-13 relative error = 5.115853670101215e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.139999999999713 y[1] (closed_form) = 0.2708208959179699 y[1] (numeric) = 0.270820895917832 absolute error = 1.378341885072132e-13 relative error = 5.089496068610688e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.129999999999709 y[1] (closed_form) = 0.2750103319533339 y[1] (numeric) = 0.2750103319531946 absolute error = 1.392219672879946e-13 relative error = 5.062426793172957e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.119999999999706 y[1] (closed_form) = 0.279172267184677 y[1] (numeric) = 0.2791722671845364 absolute error = 1.406097460687761e-13 relative error = 5.036665979997234e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.109999999999703 y[1] (closed_form) = 0.2833062854219444 y[1] (numeric) = 0.2833062854218025 absolute error = 1.419420136983263e-13 relative error = 5.010196419995547e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.099999999999699 y[1] (closed_form) = 0.2874119732667574 y[1] (numeric) = 0.2874119732666142 absolute error = 1.432742813278765e-13 relative error = 4.98497956433076e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.089999999999696 y[1] (closed_form) = 0.2914889201537529 y[1] (numeric) = 0.2914889201536083 absolute error = 1.446620601086579e-13 relative error = 4.962866514183536e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.079999999999693 y[1] (closed_form) = 0.2955367183916396 y[1] (numeric) = 0.2955367183914936 absolute error = 1.459943277382081e-13 relative error = 4.939972553418529e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.069999999999689 y[1] (closed_form) = 0.299554963203967 y[1] (numeric) = 0.2995549632038196 absolute error = 1.473821065189895e-13 relative error = 4.920035540143498e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.059999999999686 y[1] (closed_form) = 0.3035432527696021 y[1] (numeric) = 0.3035432527694535 absolute error = 1.486033518460772e-13 relative error = 4.89562362168107e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.049999999999683 y[1] (closed_form) = 0.3075011882629122 y[1] (numeric) = 0.3075011882627623 absolute error = 1.499356194756274e-13 relative error = 4.875936262966017e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.039999999999679 y[1] (closed_form) = 0.3114283738936461 y[1] (numeric) = 0.3114283738934949 absolute error = 1.512678871051776e-13 relative error = 4.857228813609517e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.029999999999676 y[1] (closed_form) = 0.3153244169465135 y[1] (numeric) = 0.3153244169463609 absolute error = 1.525446435834965e-13 relative error = 4.837704769604686e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.019999999999673 y[1] (closed_form) = 0.3191889278204555 y[1] (numeric) = 0.3191889278203018 absolute error = 1.537658889105842e-13 relative error = 4.817394198494185e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.009999999999669 y[1] (closed_form) = 0.3230215200676055 y[1] (numeric) = 0.3230215200674505 absolute error = 1.549871342376719e-13 relative error = 4.798043616574971e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.999999999999666 y[1] (closed_form) = 0.3268218104319321 y[1] (numeric) = 0.3268218104317762 absolute error = 1.559863349598345e-13 relative error = 4.772825129194433e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.989999999999668 y[1] (closed_form) = 0.3305894188875647 y[1] (numeric) = 0.3305894188874092 absolute error = 1.555422457499844e-13 relative error = 4.704997706018087e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.979999999999669 y[1] (closed_form) = 0.3343239686767988 y[1] (numeric) = 0.3343239686766437 absolute error = 1.550981565401344e-13 relative error = 4.639157555887729e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.96999999999967 y[1] (closed_form) = 0.3380250863477676 y[1] (numeric) = 0.3380250863476129 absolute error = 1.546540673302843e-13 relative error = 4.575224549197299e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.959999999999671 y[1] (closed_form) = 0.3416924017917882 y[1] (numeric) = 0.341692401791634 absolute error = 1.542099781204342e-13 relative error = 4.513122835385809e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.949999999999672 y[1] (closed_form) = 0.3453255482803724 y[1] (numeric) = 0.3453255482802186 absolute error = 1.538214000618154e-13 relative error = 4.454388064474358e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.939999999999673 y[1] (closed_form) = 0.3489241625018989 y[1] (numeric) = 0.3489241625017455 absolute error = 1.534883331544279e-13 relative error = 4.398902387666906e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.929999999999674 y[1] (closed_form) = 0.3524878845979444 y[1] (numeric) = 0.3524878845977913 absolute error = 1.530997550958091e-13 relative error = 4.34340474624931e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.919999999999675 y[1] (closed_form) = 0.3560163581992691 y[1] (numeric) = 0.3560163581991163 absolute error = 1.527666881884215e-13 relative error = 4.291001934886237e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.909999999999676 y[1] (closed_form) = 0.3595092304614531 y[1] (numeric) = 0.3595092304613007 absolute error = 1.523781101298027e-13 relative error = 4.238503415731933e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.899999999999678 y[1] (closed_form) = 0.362966152100181 y[1] (numeric) = 0.362966152100029 absolute error = 1.519340209199527e-13 relative error = 4.185900532069942e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.889999999999679 y[1] (closed_form) = 0.3663867774261697 y[1] (numeric) = 0.3663867774260181 absolute error = 1.516009540125651e-13 relative error = 4.137729944228518e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.87999999999968 y[1] (closed_form) = 0.369770764379737 y[1] (numeric) = 0.3697707643795859 absolute error = 1.511013536514838e-13 relative error = 4.086352091814103e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.869999999999681 y[1] (closed_form) = 0.3731177745650077 y[1] (numeric) = 0.3731177745648569 absolute error = 1.507682867440963e-13 relative error = 4.040769350103104e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.859999999999682 y[1] (closed_form) = 0.3764274732837523 y[1] (numeric) = 0.3764274732836019 absolute error = 1.504352198367087e-13 relative error = 3.996393210208388e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.849999999999683 y[1] (closed_form) = 0.3796995295688571 y[1] (numeric) = 0.379699529568707 absolute error = 1.501021529293212e-13 relative error = 3.953182483522163e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.839999999999684 y[1] (closed_form) = 0.3829336162174202 y[1] (numeric) = 0.3829336162172706 absolute error = 1.496580637194711e-13 relative error = 3.908198637606654e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.829999999999685 y[1] (closed_form) = 0.3861294098234719 y[1] (numeric) = 0.3861294098233225 absolute error = 1.493805079633148e-13 relative error = 3.868664343169499e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.819999999999686 y[1] (closed_form) = 0.3892865908103146 y[1] (numeric) = 0.3892865908101656 absolute error = 1.48991929904696e-13 relative error = 3.827307012927512e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.809999999999687 y[1] (closed_form) = 0.3924048434624808 y[1] (numeric) = 0.3924048434623321 absolute error = 1.486588629973085e-13 relative error = 3.788405405131608e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.799999999999689 y[1] (closed_form) = 0.3954838559573036 y[1] (numeric) = 0.3954838559571553 absolute error = 1.483257960899209e-13 relative error = 3.750489276759104e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.78999999999969 y[1] (closed_form) = 0.3985233203960996 y[1] (numeric) = 0.3985233203959516 absolute error = 1.479927291825334e-13 relative error = 3.713527455192351e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.779999999999691 y[1] (closed_form) = 0.4015229328349575 y[1] (numeric) = 0.4015229328348099 absolute error = 1.476596622751458e-13 relative error = 3.677490130702946e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.769999999999692 y[1] (closed_form) = 0.4044823933151334 y[1] (numeric) = 0.404482393314986 absolute error = 1.473265953677583e-13 relative error = 3.642348784585432e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.759999999999693 y[1] (closed_form) = 0.4074014058930452 y[1] (numeric) = 0.4074014058928982 absolute error = 1.469380173091395e-13 relative error = 3.606713555321284e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.749999999999694 y[1] (closed_form) = 0.4102796786698678 y[1] (numeric) = 0.4102796786697211 absolute error = 1.466604615529832e-13 relative error = 3.574646008022098e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.739999999999695 y[1] (closed_form) = 0.413116923820722 y[1] (numeric) = 0.4131169238205757 absolute error = 1.463273946455956e-13 relative error = 3.542033410112641e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.729999999999696 y[1] (closed_form) = 0.4159128576234571 y[1] (numeric) = 0.415912857623311 absolute error = 1.461053500406706e-13 relative error = 3.51288370538777e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.719999999999697 y[1] (closed_form) = 0.4186672004870228 y[1] (numeric) = 0.418667200486877 absolute error = 1.457722831332831e-13 relative error = 3.481817609875113e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.709999999999698 y[1] (closed_form) = 0.4213796769794279 y[1] (numeric) = 0.4213796769792824 absolute error = 1.45550238528358e-13 relative error = 3.454135224833444e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.6999999999997 y[1] (closed_form) = 0.4240500158552837 y[1] (numeric) = 0.4240500158551384 absolute error = 1.452726827722017e-13 relative error = 3.425838399727338e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.689999999999701 y[1] (closed_form) = 0.4266779500829277 y[1] (numeric) = 0.4266779500827828 absolute error = 1.449951270160454e-13 relative error = 3.3982334214333e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.679999999999702 y[1] (closed_form) = 0.4292632168711273 y[1] (numeric) = 0.4292632168709826 absolute error = 1.447175712598892e-13 relative error = 3.371301466608913e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.669999999999703 y[1] (closed_form) = 0.4318055576953579 y[1] (numeric) = 0.4318055576952135 absolute error = 1.444400155037329e-13 relative error = 3.345024465980505e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.659999999999704 y[1] (closed_form) = 0.4343047183236558 y[1] (numeric) = 0.4343047183235116 absolute error = 1.442179708988078e-13 relative error = 3.320663230541572e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.649999999999705 y[1] (closed_form) = 0.4367604488420407 y[1] (numeric) = 0.4367604488418967 absolute error = 1.439959262938828e-13 relative error = 3.296908561103721e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.639999999999706 y[1] (closed_form) = 0.4391725036795072 y[1] (numeric) = 0.4391725036793636 absolute error = 1.436628593864953e-13 relative error = 3.271217077181485e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.629999999999707 y[1] (closed_form) = 0.4415406416325817 y[1] (numeric) = 0.4415406416324383 absolute error = 1.434408147815702e-13 relative error = 3.248643528061259e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.619999999999708 y[1] (closed_form) = 0.4438646258894422 y[1] (numeric) = 0.4438646258892991 absolute error = 1.431077478741827e-13 relative error = 3.224130501217908e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.609999999999709 y[1] (closed_form) = 0.4461442240535998 y[1] (numeric) = 0.4461442240534569 absolute error = 1.428857032692576e-13 relative error = 3.202679661994041e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.599999999999711 y[1] (closed_form) = 0.4483792081671376 y[1] (numeric) = 0.448379208166995 absolute error = 1.425526363618701e-13 relative error = 3.179287392575355e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.589999999999712 y[1] (closed_form) = 0.4505693547335067 y[1] (numeric) = 0.4505693547333643 absolute error = 1.423861029081763e-13 relative error = 3.160137310989378e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.579999999999713 y[1] (closed_form) = 0.4527144447398758 y[1] (numeric) = 0.4527144447397337 absolute error = 1.421640583032513e-13 relative error = 3.14025894148213e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.569999999999714 y[1] (closed_form) = 0.4548142636790317 y[1] (numeric) = 0.4548142636788897 absolute error = 1.419975248495575e-13 relative error = 3.12209919937267e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.559999999999715 y[1] (closed_form) = 0.4568686015708303 y[1] (numeric) = 0.4568686015706884 absolute error = 1.418309913958637e-13 relative error = 3.104415381319985e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.549999999999716 y[1] (closed_form) = 0.4588772529831943 y[1] (numeric) = 0.4588772529830527 absolute error = 1.416089467909387e-13 relative error = 3.08598750254733e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.539999999999717 y[1] (closed_form) = 0.4608400170526565 y[1] (numeric) = 0.4608400170525152 absolute error = 1.413313910347824e-13 relative error = 3.066821148447133e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.529999999999718 y[1] (closed_form) = 0.4627566975044456 y[1] (numeric) = 0.4627566975043044 absolute error = 1.411648575810887e-13 relative error = 3.050520032283974e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.519999999999719 y[1] (closed_form) = 0.4646271026721135 y[1] (numeric) = 0.4646271026719725 absolute error = 1.409428129761636e-13 relative error = 3.033460858516183e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.50999999999972 y[1] (closed_form) = 0.4664510455167021 y[1] (numeric) = 0.4664510455165614 absolute error = 1.407207683712386e-13 relative error = 3.01683895284998e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.499999999999722 y[1] (closed_form) = 0.468228343645447 y[1] (numeric) = 0.4682283436453065 absolute error = 1.404987237663136e-13 relative error = 3.000645425957005e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.489999999999723 y[1] (closed_form) = 0.4699588193300164 y[1] (numeric) = 0.469958819329876 absolute error = 1.403321903126198e-13 relative error = 2.986052916565763e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.479999999999724 y[1] (closed_form) = 0.4716422995242838 y[1] (numeric) = 0.4716422995241436 absolute error = 1.40165656858926e-13 relative error = 2.971863571191609e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.469999999999725 y[1] (closed_form) = 0.4732786158816327 y[1] (numeric) = 0.4732786158814927 absolute error = 1.399991234052322e-13 relative error = 2.958069912887129e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.459999999999726 y[1] (closed_form) = 0.474867604771791 y[1] (numeric) = 0.4748676047716512 absolute error = 1.39721567649076e-13 relative error = 2.942326792669348e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.449999999999727 y[1] (closed_form) = 0.4764091072971938 y[1] (numeric) = 0.4764091072970542 absolute error = 1.395550341953822e-13 relative error = 2.92931079733379e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.439999999999728 y[1] (closed_form) = 0.4779029693088732 y[1] (numeric) = 0.4779029693087337 absolute error = 1.394440118929197e-13 relative error = 2.917831042033047e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.429999999999729 y[1] (closed_form) = 0.4793490414218728 y[1] (numeric) = 0.4793490414217335 absolute error = 1.392774784392259e-13 relative error = 2.905554541761323e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.41999999999973 y[1] (closed_form) = 0.4807471790301865 y[1] (numeric) = 0.4807471790300474 absolute error = 1.390554338343009e-13 relative error = 2.892485695180116e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.409999999999731 y[1] (closed_form) = 0.4820972423212185 y[1] (numeric) = 0.4820972423210795 absolute error = 1.389444115318383e-13 relative error = 2.882082686531123e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.399999999999733 y[1] (closed_form) = 0.4833990962897647 y[1] (numeric) = 0.4833990962896259 absolute error = 1.388333892293758e-13 relative error = 2.872024178261076e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.389999999999734 y[1] (closed_form) = 0.4846526107515132 y[1] (numeric) = 0.4846526107513744 absolute error = 1.387223669269133e-13 relative error = 2.862305161460026e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.379999999999735 y[1] (closed_form) = 0.4858576603560624 y[1] (numeric) = 0.4858576603559237 absolute error = 1.386668557756821e-13 relative error = 2.854063382968164e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.369999999999736 y[1] (closed_form) = 0.487014124599456 y[1] (numeric) = 0.4870141245993175 absolute error = 1.385003223219883e-13 relative error = 2.843866642182045e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.359999999999737 y[1] (closed_form) = 0.4881218878362334 y[1] (numeric) = 0.4881218878360951 absolute error = 1.383893000195258e-13 relative error = 2.835138178969673e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.349999999999738 y[1] (closed_form) = 0.4891808392909942 y[1] (numeric) = 0.4891808392908558 absolute error = 1.383337888682945e-13 relative error = 2.827866051924517e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.339999999999739 y[1] (closed_form) = 0.4901908730694751 y[1] (numeric) = 0.4901908730693369 absolute error = 1.38222766565832e-13 relative error = 2.819774380953061e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.32999999999974 y[1] (closed_form) = 0.4911518881691402 y[1] (numeric) = 0.4911518881690021 absolute error = 1.381117442633695e-13 relative error = 2.811996606145741e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.319999999999741 y[1] (closed_form) = 0.4920637884892802 y[1] (numeric) = 0.4920637884891422 absolute error = 1.380562331121382e-13 relative error = 2.80565724082226e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.309999999999742 y[1] (closed_form) = 0.4929264828406231 y[1] (numeric) = 0.4929264828404851 absolute error = 1.38000721960907e-13 relative error = 2.799620770335572e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.299999999999744 y[1] (closed_form) = 0.4937398849544526 y[1] (numeric) = 0.4937398849543148 absolute error = 1.378896996584444e-13 relative error = 2.792759990843452e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.289999999999745 y[1] (closed_form) = 0.4945039134912353 y[1] (numeric) = 0.4945039134910975 absolute error = 1.378896996584444e-13 relative error = 2.78844506375961e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.279999999999746 y[1] (closed_form) = 0.4952184920487541 y[1] (numeric) = 0.4952184920486163 absolute error = 1.377231662047507e-13 relative error = 2.781058632018771e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.269999999999747 y[1] (closed_form) = 0.4958835491697487 y[1] (numeric) = 0.495883549169611 absolute error = 1.376676550535194e-13 relative error = 2.776209359717913e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.259999999999748 y[1] (closed_form) = 0.4964990183490612 y[1] (numeric) = 0.4964990183489236 absolute error = 1.376121439022882e-13 relative error = 2.771649868712139e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.249999999999749 y[1] (closed_form) = 0.4970648380402867 y[1] (numeric) = 0.4970648380401491 absolute error = 1.376121439022882e-13 relative error = 2.768494839523024e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.23999999999975 y[1] (closed_form) = 0.4975809516619275 y[1] (numeric) = 0.4975809516617899 absolute error = 1.375566327510569e-13 relative error = 2.764507610100744e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.229999999999751 y[1] (closed_form) = 0.4980473076030514 y[1] (numeric) = 0.4980473076029139 absolute error = 1.375566327510569e-13 relative error = 2.761919011530745e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.219999999999752 y[1] (closed_form) = 0.4984638592284532 y[1] (numeric) = 0.4984638592283156 absolute error = 1.375566327510569e-13 relative error = 2.759610956829926e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.209999999999753 y[1] (closed_form) = 0.4988305648833172 y[1] (numeric) = 0.4988305648831797 absolute error = 1.375566327510569e-13 relative error = 2.757582282136884e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.199999999999755 y[1] (closed_form) = 0.4991473878973837 y[1] (numeric) = 0.4991473878972461 absolute error = 1.376121439022882e-13 relative error = 2.756944085833399e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.189999999999756 y[1] (closed_form) = 0.4994142965886152 y[1] (numeric) = 0.4994142965884776 absolute error = 1.376676550535194e-13 relative error = 2.756582180243851e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.179999999999757 y[1] (closed_form) = 0.4996312642663651 y[1] (numeric) = 0.4996312642662275 absolute error = 1.376121439022882e-13 relative error = 2.754274076590289e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.169999999999758 y[1] (closed_form) = 0.4997982692340464 y[1] (numeric) = 0.4997982692339087 absolute error = 1.376676550535194e-13 relative error = 2.754464421505473e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.159999999999759 y[1] (closed_form) = 0.4999152947913014 y[1] (numeric) = 0.4999152947911637 absolute error = 1.376676550535194e-13 relative error = 2.753819626802802e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.14999999999976 y[1] (closed_form) = 0.499982329235672 y[1] (numeric) = 0.4999823292355343 absolute error = 1.377231662047507e-13 relative error = 2.754560674480025e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.139999999999761 y[1] (closed_form) = 0.4999993658637696 y[1] (numeric) = 0.4999993658636319 absolute error = 1.376676550535194e-13 relative error = 2.75335659307673e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.129999999999762 y[1] (closed_form) = 0.4999664029719456 y[1] (numeric) = 0.4999664029718079 absolute error = 1.376121439022882e-13 relative error = 2.752427824835461e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.119999999999763 y[1] (closed_form) = 0.4998834438564616 y[1] (numeric) = 0.499883443856324 absolute error = 1.376121439022882e-13 relative error = 2.752884609273089e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.109999999999765 y[1] (closed_form) = 0.4997504968131602 y[1] (numeric) = 0.4997504968130224 absolute error = 1.378341885072132e-13 relative error = 2.758060059693042e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.099999999999766 y[1] (closed_form) = 0.4995675751366349 y[1] (numeric) = 0.4995675751364969 absolute error = 1.379452108096757e-13 relative error = 2.761292319101111e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.089999999999767 y[1] (closed_form) = 0.4993346971189008 y[1] (numeric) = 0.4993346971187627 absolute error = 1.380562331121382e-13 relative error = 2.764803525745468e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.079999999999768 y[1] (closed_form) = 0.4990518860475657 y[1] (numeric) = 0.4990518860474276 absolute error = 1.380562331121382e-13 relative error = 2.76637033085934e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.069999999999769 y[1] (closed_form) = 0.498719170203501 y[1] (numeric) = 0.498719170203363 absolute error = 1.38000721960907e-13 relative error = 2.767102814688197e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.05999999999977 y[1] (closed_form) = 0.4983365828580139 y[1] (numeric) = 0.4983365828578758 absolute error = 1.381117442633695e-13 relative error = 2.771455056967397e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.049999999999771 y[1] (closed_form) = 0.4979041622695202 y[1] (numeric) = 0.4979041622693821 absolute error = 1.381117442633695e-13 relative error = 2.773862014606102e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.039999999999772 y[1] (closed_form) = 0.4974219516797182 y[1] (numeric) = 0.49742195167958 absolute error = 1.38222766565832e-13 relative error = 2.778783005033749e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.029999999999773 y[1] (closed_form) = 0.4968899993092652 y[1] (numeric) = 0.4968899993091269 absolute error = 1.383337888682945e-13 relative error = 2.783992212775353e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.019999999999774 y[1] (closed_form) = 0.4963083583529549 y[1] (numeric) = 0.4963083583528164 absolute error = 1.38444811170757e-13 relative error = 2.789491831856286e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.009999999999776 y[1] (closed_form) = 0.4956770869743982 y[1] (numeric) = 0.4956770869742597 absolute error = 1.385558334732195e-13 relative error = 2.795284210512155e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.999999999999777 y[1] (closed_form) = 0.4949962483002069 y[1] (numeric) = 0.4949962483000684 absolute error = 1.385003223219883e-13 relative error = 2.798007516169903e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.989999999999778 y[1] (closed_form) = 0.4942659104136812 y[1] (numeric) = 0.4942659104135427 absolute error = 1.385558334732195e-13 relative error = 2.803265014923925e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.979999999999779 y[1] (closed_form) = 0.493486146348001 y[1] (numeric) = 0.4934861463478624 absolute error = 1.386113446244508e-13 relative error = 2.808819369099444e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.96999999999978 y[1] (closed_form) = 0.4926570340789231 y[1] (numeric) = 0.4926570340787844 absolute error = 1.387223669269133e-13 relative error = 2.815799985202082e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.959999999999781 y[1] (closed_form) = 0.4917786565169834 y[1] (numeric) = 0.4917786565168447 absolute error = 1.387778780781446e-13 relative error = 2.821958135821454e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.949999999999782 y[1] (closed_form) = 0.4908511014992063 y[1] (numeric) = 0.4908511014990675 absolute error = 1.388333892293758e-13 relative error = 2.828421670142678e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.939999999999783 y[1] (closed_form) = 0.4898744617803205 y[1] (numeric) = 0.4898744617801815 absolute error = 1.389999226830696e-13 relative error = 2.837460074524211e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.929999999999784 y[1] (closed_form) = 0.4888488350234839 y[1] (numeric) = 0.4888488350233448 absolute error = 1.391109449855321e-13 relative error = 2.845684289681274e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.919999999999785 y[1] (closed_form) = 0.4877743237905178 y[1] (numeric) = 0.4877743237903784 absolute error = 1.393885007416884e-13 relative error = 2.857643257203324e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.909999999999787 y[1] (closed_form) = 0.4866510355316498 y[1] (numeric) = 0.4866510355315102 absolute error = 1.395550341953822e-13 relative error = 2.867661301550977e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.899999999999788 y[1] (closed_form) = 0.4854790825747698 y[1] (numeric) = 0.4854790825746302 absolute error = 1.396660564978447e-13 relative error = 2.876870734720777e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.889999999999789 y[1] (closed_form) = 0.484258582114197 y[1] (numeric) = 0.4842585821140572 absolute error = 1.397770788003072e-13 relative error = 2.886414076340421e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.87999999999979 y[1] (closed_form) = 0.4829896561989602 y[1] (numeric) = 0.4829896561988203 absolute error = 1.398881011027697e-13 relative error = 2.896296003596917e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.869999999999791 y[1] (closed_form) = 0.4816724317205936 y[1] (numeric) = 0.4816724317204537 absolute error = 1.39943612254001e-13 relative error = 2.905368940341988e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.859999999999792 y[1] (closed_form) = 0.4803070404004472 y[1] (numeric) = 0.4803070404003071 absolute error = 1.401101457076948e-13 relative error = 2.917095397787226e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.849999999999793 y[1] (closed_form) = 0.4788936187765154 y[1] (numeric) = 0.4788936187763753 absolute error = 1.401101457076948e-13 relative error = 2.925705004498708e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.839999999999794 y[1] (closed_form) = 0.4774323081897826 y[1] (numeric) = 0.4774323081896424 absolute error = 1.402211680101573e-13 relative error = 2.936985319276264e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.829999999999795 y[1] (closed_form) = 0.4759232547700898 y[1] (numeric) = 0.4759232547699493 absolute error = 1.404432126150823e-13 relative error = 2.950963442266085e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.819999999999796 y[1] (closed_form) = 0.4743666094215214 y[1] (numeric) = 0.4743666094213808 absolute error = 1.406097460687761e-13 relative error = 2.964157747954609e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.809999999999798 y[1] (closed_form) = 0.472762527807315 y[1] (numeric) = 0.4727625278071741 absolute error = 1.408317906737011e-13 relative error = 2.978911872031877e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.799999999999799 y[1] (closed_form) = 0.4711111703342953 y[1] (numeric) = 0.4711111703341543 absolute error = 1.409983241273949e-13 relative error = 2.992888579299532e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.7899999999998 y[1] (closed_form) = 0.4694127021368336 y[1] (numeric) = 0.4694127021366925 absolute error = 1.411093464298574e-13 relative error = 3.006082830471087e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.779999999999801 y[1] (closed_form) = 0.4676672930603342 y[1] (numeric) = 0.4676672930601928 absolute error = 1.413313910347824e-13 relative error = 3.022049930195763e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.769999999999802 y[1] (closed_form) = 0.4658751176442502 y[1] (numeric) = 0.4658751176441087 absolute error = 1.414979244884762e-13 relative error = 3.037250094059033e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.759999999999803 y[1] (closed_form) = 0.4640363551046296 y[1] (numeric) = 0.464036355104488 absolute error = 1.4166445794217e-13 relative error = 3.052874120395758e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.749999999999804 y[1] (closed_form) = 0.4621511893161944 y[1] (numeric) = 0.4621511893160526 absolute error = 1.417754802446325e-13 relative error = 3.067729425394437e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.739999999999805 y[1] (closed_form) = 0.4602198087939522 y[1] (numeric) = 0.4602198087938103 absolute error = 1.419420136983263e-13 relative error = 3.084222169191244e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.729999999999806 y[1] (closed_form) = 0.4582424066743459 y[1] (numeric) = 0.4582424066742037 absolute error = 1.421640583032513e-13 relative error = 3.102376738438384e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.719999999999807 y[1] (closed_form) = 0.4562191806959396 y[1] (numeric) = 0.4562191806957971 absolute error = 1.424416140594076e-13 relative error = 3.122218882645837e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.709999999999809 y[1] (closed_form) = 0.454150333179645 y[1] (numeric) = 0.4541503331795023 absolute error = 1.427191698155639e-13 relative error = 3.142553453970702e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.69999999999981 y[1] (closed_form) = 0.4520360710084899 y[1] (numeric) = 0.4520360710083469 absolute error = 1.429967255717202e-13 relative error = 3.163391922522804e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.689999999999811 y[1] (closed_form) = 0.4498766056069294 y[1] (numeric) = 0.4498766056067861 absolute error = 1.432742813278765e-13 relative error = 3.184746206897886e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.679999999999812 y[1] (closed_form) = 0.4476721529197041 y[1] (numeric) = 0.4476721529195606 absolute error = 1.435518370840327e-13 relative error = 3.206628693515825e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.669999999999813 y[1] (closed_form) = 0.4454229333902457 y[1] (numeric) = 0.4454229333901021 absolute error = 1.436628593864953e-13 relative error = 3.225313485613206e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.659999999999814 y[1] (closed_form) = 0.4431291719386329 y[1] (numeric) = 0.443129171938489 absolute error = 1.439404151426515e-13 relative error = 3.248272157595285e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.649999999999815 y[1] (closed_form) = 0.4407910979390993 y[1] (numeric) = 0.4407910979389551 absolute error = 1.442179708988078e-13 relative error = 3.271798626902699e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.639999999999816 y[1] (closed_form) = 0.4384089451970965 y[1] (numeric) = 0.4384089451969519 absolute error = 1.445510378061954e-13 relative error = 3.297173549714166e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.629999999999817 y[1] (closed_form) = 0.4359829519259136 y[1] (numeric) = 0.4359829519257688 absolute error = 1.447730824111204e-13 relative error = 3.320613381133344e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.619999999999818 y[1] (closed_form) = 0.433513360722856 y[1] (numeric) = 0.4335133607227109 absolute error = 1.450506381672767e-13 relative error = 3.345932358933851e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.60999999999982 y[1] (closed_form) = 0.431000418544986 y[1] (numeric) = 0.4310004185448407 absolute error = 1.45328193923433e-13 relative error = 3.371880575291466e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.599999999999821 y[1] (closed_form) = 0.4284443766844274 y[1] (numeric) = 0.4284443766842818 absolute error = 1.456057496795893e-13 relative error = 3.398474985396665e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.589999999999822 y[1] (closed_form) = 0.4258454907432361 y[1] (numeric) = 0.4258454907430902 absolute error = 1.458833054357456e-13 relative error = 3.425733243790669e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.579999999999823 y[1] (closed_form) = 0.4232040206078406 y[1] (numeric) = 0.4232040206076945 absolute error = 1.461608611919019e-13 relative error = 3.453673738306492e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.569999999999824 y[1] (closed_form) = 0.4205202304230531 y[1] (numeric) = 0.4205202304229068 absolute error = 1.463829057968269e-13 relative error = 3.480995567075626e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.559999999999825 y[1] (closed_form) = 0.4177943885656558 y[1] (numeric) = 0.417794388565509 absolute error = 1.467159727042144e-13 relative error = 3.511678871703138e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.549999999999826 y[1] (closed_form) = 0.4150267676175626 y[1] (numeric) = 0.4150267676174156 absolute error = 1.469935284603707e-13 relative error = 3.541784287894939e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.539999999999827 y[1] (closed_form) = 0.4122176443385623 y[1] (numeric) = 0.412217644338415 absolute error = 1.473265953677583e-13 relative error = 3.57400022515184e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.529999999999828 y[1] (closed_form) = 0.4093672996386416 y[1] (numeric) = 0.409367299638494 absolute error = 1.476041511239146e-13 relative error = 3.605665407427714e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.519999999999829 y[1] (closed_form) = 0.4064760185498953 y[1] (numeric) = 0.4064760185497475 absolute error = 1.478817068800709e-13 relative error = 3.638141000486065e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.509999999999831 y[1] (closed_form) = 0.403544090198023 y[1] (numeric) = 0.4035440901978747 absolute error = 1.483257960899209e-13 relative error = 3.675578448370685e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.499999999999832 y[1] (closed_form) = 0.4005718077734165 y[1] (numeric) = 0.4005718077732678 absolute error = 1.486588629973085e-13 relative error = 3.711166390456449e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.489999999999833 y[1] (closed_form) = 0.3975594685018414 y[1] (numeric) = 0.3975594685016925 absolute error = 1.488809076022335e-13 relative error = 3.744871381463373e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.479999999999834 y[1] (closed_form) = 0.3945073736147146 y[1] (numeric) = 0.3945073736145654 absolute error = 1.491029522071585e-13 relative error = 3.77947187250234e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.469999999999835 y[1] (closed_form) = 0.3914158283189813 y[1] (numeric) = 0.3914158283188319 absolute error = 1.494360191145461e-13 relative error = 3.81783280855889e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.459999999999836 y[1] (closed_form) = 0.3882851417665949 y[1] (numeric) = 0.3882851417664453 absolute error = 1.496025525682398e-13 relative error = 3.852904385874456e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.449999999999837 y[1] (closed_form) = 0.3851156270236017 y[1] (numeric) = 0.3851156270234518 absolute error = 1.499356194756274e-13 relative error = 3.893262411458536e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.439999999999838 y[1] (closed_form) = 0.3819076010388349 y[1] (numeric) = 0.3819076010386845 absolute error = 1.503797086854775e-13 relative error = 3.937594022125416e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.429999999999839 y[1] (closed_form) = 0.3786613846122194 y[1] (numeric) = 0.3786613846120686 absolute error = 1.507682867440963e-13 relative error = 3.981612408101646e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.419999999999841 y[1] (closed_form) = 0.3753773023626928 y[1] (numeric) = 0.3753773023625417 absolute error = 1.511013536514838e-13 relative error = 4.025319397321694e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.409999999999842 y[1] (closed_form) = 0.3720556826957433 y[1] (numeric) = 0.3720556826955918 absolute error = 1.514899317101026e-13 relative error = 4.071700521074606e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.399999999999843 y[1] (closed_form) = 0.3686968577705697 y[1] (numeric) = 0.3686968577704178 absolute error = 1.518785097687214e-13 relative error = 4.119332903651471e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.389999999999844 y[1] (closed_form) = 0.3653011634668653 y[1] (numeric) = 0.365301163466713 absolute error = 1.522670878273402e-13 relative error = 4.168261781108497e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.379999999999845 y[1] (closed_form) = 0.3618689393512308 y[1] (numeric) = 0.3618689393510782 absolute error = 1.52655665885959e-13 relative error = 4.218534648473686e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.369999999999846 y[1] (closed_form) = 0.3584005286432178 y[1] (numeric) = 0.3584005286430647 absolute error = 1.530442439445778e-13 relative error = 4.270201400761075e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.359999999999847 y[1] (closed_form) = 0.3548962781810064 y[1] (numeric) = 0.354896278180853 absolute error = 1.534328220031966e-13 relative error = 4.323314484716626e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.349999999999848 y[1] (closed_form) = 0.3513565383867229 y[1] (numeric) = 0.3513565383865692 absolute error = 1.537658889105842e-13 relative error = 4.376349152818119e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.339999999999849 y[1] (closed_form) = 0.3477816632313969 y[1] (numeric) = 0.3477816632312427 absolute error = 1.542099781204342e-13 relative error = 4.434103186683263e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.32999999999985 y[1] (closed_form) = 0.3441720101995649 y[1] (numeric) = 0.3441720101994102 absolute error = 1.546540673302843e-13 relative error = 4.493510882555778e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.319999999999852 y[1] (closed_form) = 0.340527940253522 y[1] (numeric) = 0.3405279402533669 absolute error = 1.550426453889031e-13 relative error = 4.553008051952341e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.309999999999853 y[1] (closed_form) = 0.336849817797226 y[1] (numeric) = 0.3368498177970706 absolute error = 1.554312234475219e-13 relative error = 4.614258795327212e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.299999999999854 y[1] (closed_form) = 0.3331380106398575 y[1] (numeric) = 0.3331380106397017 absolute error = 1.558198015061407e-13 relative error = 4.677334814086748e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.289999999999855 y[1] (closed_form) = 0.3293928899590393 y[1] (numeric) = 0.329392889958883 absolute error = 1.562638907159908e-13 relative error = 4.743997077029275e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.279999999999856 y[1] (closed_form) = 0.3256148302637182 y[1] (numeric) = 0.3256148302635616 absolute error = 1.565969576233783e-13 relative error = 4.809269820313441e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.269999999999857 y[1] (closed_form) = 0.3218042093567156 y[1] (numeric) = 0.3218042093565586 absolute error = 1.569855356819971e-13 relative error = 4.878293419337496e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.259999999999858 y[1] (closed_form) = 0.3179614082969465 y[1] (numeric) = 0.3179614082967891 absolute error = 1.574296248918472e-13 relative error = 4.951218002683599e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.249999999999859 y[1] (closed_form) = 0.3140868113613148 y[1] (numeric) = 0.314086811361157 absolute error = 1.577626917992347e-13 relative error = 5.022900869841043e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.23999999999986 y[1] (closed_form) = 0.3101808060062851 y[1] (numeric) = 0.3101808060061267 absolute error = 1.583178033115473e-13 relative error = 5.104049001289248e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.229999999999861 y[1] (closed_form) = 0.3062437828291378 y[1] (numeric) = 0.3062437828289791 absolute error = 1.587618925213974e-13 relative error = 5.184167040216297e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.219999999999863 y[1] (closed_form) = 0.30227613552891 y[1] (numeric) = 0.3022761355287509 absolute error = 1.591504705800162e-13 relative error = 5.265068984077801e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.209999999999864 y[1] (closed_form) = 0.2982782608670252 y[1] (numeric) = 0.2982782608668657 absolute error = 1.59539048638635e-13 relative error = 5.348664973937163e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.199999999999865 y[1] (closed_form) = 0.2942505586276182 y[1] (numeric) = 0.2942505586274582 absolute error = 1.599831378484851e-13 relative error = 5.436969723851839e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.189999999999866 y[1] (closed_form) = 0.2901934315775563 y[1] (numeric) = 0.2901934315773959 absolute error = 1.604272270583351e-13 relative error = 5.528285950037424e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.179999999999867 y[1] (closed_form) = 0.2861072854261638 y[1] (numeric) = 0.2861072854260029 absolute error = 1.608713162681852e-13 relative error = 5.622761965972431e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.169999999999868 y[1] (closed_form) = 0.2819925287846506 y[1] (numeric) = 0.2819925287844892 absolute error = 1.613709166292665e-13 relative error = 5.722524540800893e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.159999999999869 y[1] (closed_form) = 0.2778495731252519 y[1] (numeric) = 0.2778495731250902 absolute error = 1.617039835366541e-13 relative error = 5.81983919276203e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.14999999999987 y[1] (closed_form) = 0.2736788327400813 y[1] (numeric) = 0.2736788327399192 absolute error = 1.620925615952729e-13 relative error = 5.922729206800429e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.139999999999871 y[1] (closed_form) = 0.2694807246997015 y[1] (numeric) = 0.269480724699539 absolute error = 1.624811396538917e-13 relative error = 6.029416012405121e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.129999999999872 y[1] (closed_form) = 0.2652556688114184 y[1] (numeric) = 0.2652556688112555 absolute error = 1.628697177125105e-13 relative error = 6.140103185817361e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.119999999999874 y[1] (closed_form) = 0.2610040875772997 y[1] (numeric) = 0.2610040875771364 absolute error = 1.633138069223605e-13 relative error = 6.257135987343227e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.109999999999875 y[1] (closed_form) = 0.256726406151926 y[1] (numeric) = 0.2567264061517622 absolute error = 1.637578961322106e-13 relative error = 6.378693122642852e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.099999999999876 y[1] (closed_form) = 0.2524230522998751 y[1] (numeric) = 0.2524230522997108 absolute error = 1.642574964932919e-13 relative error = 6.507230421180244e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.089999999999877 y[1] (closed_form) = 0.248094456352946 y[1] (numeric) = 0.2480944563527812 absolute error = 1.647848524299889e-13 relative error = 6.642020738889925e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.079999999999878 y[1] (closed_form) = 0.2437410511671264 y[1] (numeric) = 0.2437410511669611 absolute error = 1.652566972154546e-13 relative error = 6.780010852670963e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.069999999999879 y[1] (closed_form) = 0.2393632720793069 y[1] (numeric) = 0.2393632720791411 absolute error = 1.657562975765359e-13 relative error = 6.924884345732739e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.05999999999988 y[1] (closed_form) = 0.2349615568637482 y[1] (numeric) = 0.2349615568635819 absolute error = 1.662281423620016e-13 relative error = 7.074695306789935e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.049999999999881 y[1] (closed_form) = 0.2305363456883038 y[1] (numeric) = 0.2305363456881371 absolute error = 1.666999871474673e-13 relative error = 7.230963371513386e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.039999999999882 y[1] (closed_form) = 0.2260880810704035 y[1] (numeric) = 0.2260880810702363 absolute error = 1.672273430841642e-13 relative error = 7.396557230811731e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.029999999999883 y[1] (closed_form) = 0.2216172078328023 y[1] (numeric) = 0.2216172078326346 absolute error = 1.677269434452455e-13 relative error = 7.568317690013767e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.019999999999885 y[1] (closed_form) = 0.2171241730590982 y[1] (numeric) = 0.21712417305893 absolute error = 1.682265438063268e-13 relative error = 7.747941716307096e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.009999999999886 y[1] (closed_form) = 0.2126094260490244 y[1] (numeric) = 0.2126094260488558 absolute error = 1.686706330161769e-13 relative error = 7.933356302710872e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.999999999999887 y[1] (closed_form) = 0.2080734182735197 y[1] (numeric) = 0.2080734182733505 absolute error = 1.691979889528739e-13 relative error = 8.131648451627648e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.989999999999888 y[1] (closed_form) = 0.2035166033295815 y[1] (numeric) = 0.2035166033294119 absolute error = 1.696698337383395e-13 relative error = 8.336903769151973e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.979999999999889 y[1] (closed_form) = 0.1989394368949071 y[1] (numeric) = 0.1989394368947369 absolute error = 1.701694340994209e-13 relative error = 8.553831093294769e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.96999999999989 y[1] (closed_form) = 0.1943423766823254 y[1] (numeric) = 0.1943423766821547 absolute error = 1.706967900361178e-13 relative error = 8.783302589488296e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.959999999999891 y[1] (closed_form) = 0.1897258823940269 y[1] (numeric) = 0.1897258823938557 absolute error = 1.711963903971991e-13 relative error = 9.023354549046434e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.949999999999892 y[1] (closed_form) = 0.1850904156755934 y[1] (numeric) = 0.1850904156754217 absolute error = 1.717237463338961e-13 relative error = 9.27783028132991e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.939999999999893 y[1] (closed_form) = 0.1804364400698339 y[1] (numeric) = 0.1804364400696616 absolute error = 1.72251102270593e-13 relative error = 9.546358939686856e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.929999999999894 y[1] (closed_form) = 0.1757644209704305 y[1] (numeric) = 0.1757644209702578 absolute error = 1.727507026316744e-13 relative error = 9.828536496629019e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.919999999999896 y[1] (closed_form) = 0.1710748255754 y[1] (numeric) = 0.1710748255752268 absolute error = 1.732503029927557e-13 relative error = 1.012716525707617e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.909999999999897 y[1] (closed_form) = 0.1663681228403739 y[1] (numeric) = 0.1663681228402001 absolute error = 1.738054145050683e-13 relative error = 1.044703826296281e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.899999999999898 y[1] (closed_form) = 0.1616447834317034 y[1] (numeric) = 0.161644783431529 absolute error = 1.743327704417652e-13 relative error = 1.078493018708659e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.889999999999899 y[1] (closed_form) = 0.1569052796793932 y[1] (numeric) = 0.1569052796792184 absolute error = 1.747768596516153e-13 relative error = 1.113900437313132e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.8799999999999 y[1] (closed_form) = 0.152150085529869 y[1] (numeric) = 0.1521500855296938 absolute error = 1.75248704437081e-13 relative error = 1.151814695514433e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.869999999999901 y[1] (closed_form) = 0.1473796764985832 y[1] (numeric) = 0.1473796764984074 absolute error = 1.757483047981623e-13 relative error = 1.192486704907727e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.859999999999902 y[1] (closed_form) = 0.1425945296224635 y[1] (numeric) = 0.1425945296222872 absolute error = 1.763034163104749e-13 relative error = 1.236396773265144e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.849999999999903 y[1] (closed_form) = 0.13779512341221 y[1] (numeric) = 0.1377951234120331 absolute error = 1.768307722471718e-13 relative error = 1.283287592973722e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.839999999999904 y[1] (closed_form) = 0.1329819378044441 y[1] (numeric) = 0.1329819378042668 absolute error = 1.773026170326375e-13 relative error = 1.333283451571965e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.829999999999905 y[1] (closed_form) = 0.1281554541137156 y[1] (numeric) = 0.1281554541135378 absolute error = 1.778299729693344e-13 relative error = 1.38761143018963e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.819999999999907 y[1] (closed_form) = 0.1233161549843717 y[1] (numeric) = 0.1233161549841934 absolute error = 1.783573289060314e-13 relative error = 1.446341956807162e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.809999999999908 y[1] (closed_form) = 0.1184645243422925 y[1] (numeric) = 0.1184645243421136 absolute error = 1.788846848427283e-13 relative error = 1.510027460422306e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.799999999999909 y[1] (closed_form) = 0.1136010473464991 y[1] (numeric) = 0.1136010473463197 absolute error = 1.794120407794253e-13 relative error = 1.57931678422113e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.78999999999991 y[1] (closed_form) = 0.1087262103406383 y[1] (numeric) = 0.1087262103404584 absolute error = 1.799532745039301e-13 relative error = 1.655104817321766e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.779999999999911 y[1] (closed_form) = 0.1038405008043484 y[1] (numeric) = 0.1038405008041679 absolute error = 1.80480630440627e-13 relative error = 1.738056240509477e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.769999999999912 y[1] (closed_form) = 0.09894440730451141 y[1] (numeric) = 0.09894440730433038 absolute error = 1.810357419529396e-13 relative error = 1.829671296082292e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.759999999999913 y[1] (closed_form) = 0.09403841944639742 y[1] (numeric) = 0.09403841944621585 absolute error = 1.815630978896365e-13 relative error = 1.930733193502139e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.749999999999914 y[1] (closed_form) = 0.08912302782470388 y[1] (numeric) = 0.08912302782452176 absolute error = 1.821182094019491e-13 relative error = 2.043447286824203e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.739999999999915 y[1] (closed_form) = 0.08419872397449681 y[1] (numeric) = 0.08419872397431417 absolute error = 1.826316875508383e-13 relative error = 2.169055288844473e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.729999999999916 y[1] (closed_form) = 0.07926600032205766 y[1] (numeric) = 0.07926600032187449 absolute error = 1.83172921275343e-13 relative error = 2.310863680911257e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.719999999999918 y[1] (closed_form) = 0.07432535013564109 y[1] (numeric) = 0.07432535013545738 absolute error = 1.837141549998478e-13 relative error = 2.471756334340518e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.709999999999919 y[1] (closed_form) = 0.06937726747614854 y[1] (numeric) = 0.06937726747596429 absolute error = 1.842553887243525e-13 relative error = 2.655846726562103e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.69999999999992 y[1] (closed_form) = 0.06442224714772257 y[1] (numeric) = 0.06442224714753778 absolute error = 1.847966224488573e-13 relative error = 2.868521832607172e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.689999999999921 y[1] (closed_form) = 0.05946078464826687 y[1] (numeric) = 0.05946078464808153 absolute error = 1.853378561733621e-13 relative error = 3.116976294034899e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.679999999999922 y[1] (closed_form) = 0.05449337611989682 y[1] (numeric) = 0.05449337611971093 absolute error = 1.858860287917707e-13 relative error = 3.411167412031558e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.669999999999923 y[1] (closed_form) = 0.04952051829932578 y[1] (numeric) = 0.04952051829913935 absolute error = 1.864272625162755e-13 relative error = 3.764646835669604e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.659999999999924 y[1] (closed_form) = 0.04454270846819177 y[1] (numeric) = 0.0445427084680048 absolute error = 1.869684962407803e-13 relative error = 4.197510718826083e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.649999999999925 y[1] (closed_form) = 0.03956044440332974 y[1] (numeric) = 0.03956044440314223 absolute error = 1.875166688591889e-13 relative error = 4.740004104792259e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.639999999999926 y[1] (closed_form) = 0.03457422432699431 y[1] (numeric) = 0.03457422432680624 absolute error = 1.880717803715015e-13 relative error = 5.439652921574348e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.629999999999928 y[1] (closed_form) = 0.02958454685703794 y[1] (numeric) = 0.02958454685684932 absolute error = 1.886199529899102e-13 relative error = 6.375624203452652e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.619999999999929 y[1] (closed_form) = 0.02459191095704957 y[1] (numeric) = 0.02459191095686039 absolute error = 1.891750645022228e-13 relative error = 7.692572766411772e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.60999999999993 y[1] (closed_form) = 0.01959681588645869 y[1] (numeric) = 0.01959681588626896 absolute error = 1.897267065675834e-13 relative error = 9.681506815537504e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.599999999999931 y[1] (closed_form) = 0.01459976115060978 y[1] (numeric) = 0.0145997611504195 absolute error = 1.90278348632944e-13 relative error = 1.303297681859657e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.589999999999932 y[1] (closed_form) = 0.009601246450812246 y[1] (numeric) = 0.009601246450621414 absolute error = 1.908317254217806e-13 relative error = 1.987572409472279e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.579999999999933 y[1] (closed_form) = 0.00460177163437064 y[1] (numeric) = 0.004601771634179259 absolute error = 1.913816327636653e-13 relative error = 4.158868539547585e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.569999999999934 y[1] (closed_form) = -0.0003981633553996053 y[1] (numeric) = -0.0003981633555915383 absolute error = 1.919330037784828e-13 relative error = 4.820458768383009e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.559999999999935 y[1] (closed_form) = -0.005398058529166113 y[1] (numeric) = -0.005398058529358597 absolute error = 1.924840495326485e-13 relative error = 3.565801454219936e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.549999999999936 y[1] (closed_form) = -0.01039741390157807 y[1] (numeric) = -0.01039741390177111 absolute error = 1.930348242362712e-13 relative error = 1.856565738976432e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.539999999999937 y[1] (closed_form) = -0.01539572954126435 y[1] (numeric) = -0.01539572954145794 absolute error = 1.935829968546798e-13 relative error = 1.25738112205615e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.529999999999939 y[1] (closed_form) = -0.02039250562082624 y[1] (numeric) = -0.02039250562102038 absolute error = 1.941363736435164e-13 relative error = 9.519986275999889e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.51999999999994 y[1] (closed_form) = -0.02538724246681975 y[1] (numeric) = -0.02538724246701443 absolute error = 1.946880157088771e-13 relative error = 7.668734245687676e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.509999999999941 y[1] (closed_form) = -0.03037944060972254 y[1] (numeric) = -0.03037944060991777 absolute error = 1.952361883272857e-13 relative error = 6.42658931201001e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.499999999999942 y[1] (closed_form) = -0.03536860083388047 y[1] (numeric) = -0.03536860083407625 absolute error = 1.957808914987424e-13 relative error = 5.535443497419864e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.489999999999943 y[1] (closed_form) = -0.04035422422742875 y[1] (numeric) = -0.04035422422762508 absolute error = 1.963290641171511e-13 relative error = 4.865142816540786e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.479999999999944 y[1] (closed_form) = -0.0453358122321827 y[1] (numeric) = -0.04533581223237956 absolute error = 1.96863358947752e-13 relative error = 4.34233664855361e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.469999999999945 y[1] (closed_form) = -0.05031286669349315 y[1] (numeric) = -0.05031286669369057 absolute error = 1.974254093539685e-13 relative error = 3.923954692478317e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.459999999999946 y[1] (closed_form) = -0.0552848899100615 y[1] (numeric) = -0.05528488991025947 absolute error = 1.979735819723771e-13 relative error = 3.580970899904916e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.449999999999947 y[1] (closed_form) = -0.06025138468370943 y[1] (numeric) = -0.06025138468390794 absolute error = 1.985148156968819e-13 relative error = 3.294775991273703e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.439999999999948 y[1] (closed_form) = -0.06521185436909831 y[1] (numeric) = -0.06521185436929737 absolute error = 1.990629883152906e-13 relative error = 3.052558315373099e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.42999999999995 y[1] (closed_form) = -0.07016580292339332 y[1] (numeric) = -0.07016580292359294 absolute error = 1.996180998276031e-13 relative error = 2.84494855771187e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.419999999999951 y[1] (closed_form) = -0.07511273495586729 y[1] (numeric) = -0.07511273495606745 absolute error = 2.001593335521079e-13 relative error = 2.664785587553324e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.409999999999952 y[1] (closed_form) = -0.08005215577743942 y[1] (numeric) = -0.08005215577764012 absolute error = 2.007005672766127e-13 relative error = 2.507122579366873e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.399999999999953 y[1] (closed_form) = -0.08498357145014371 y[1] (numeric) = -0.08498357145034496 absolute error = 2.012556787889253e-13 relative error = 2.36817158133903e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.389999999999954 y[1] (closed_form) = -0.0899064888365224 y[1] (numeric) = -0.0899064888367242 absolute error = 2.0179691251343e-13 relative error = 2.244520002114183e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.379999999999955 y[1] (closed_form) = -0.09482041564893925 y[1] (numeric) = -0.09482041564914159 absolute error = 2.023381462379348e-13 relative error = 2.13390908332512e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.369999999999956 y[1] (closed_form) = -0.09972486049880797 y[1] (numeric) = -0.09972486049901086 absolute error = 2.028932577502474e-13 relative error = 2.034530374225719e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.359999999999957 y[1] (closed_form) = -0.1046193329457306 y[1] (numeric) = -0.104619332945934 absolute error = 2.034206136869443e-13 relative error = 1.944388364552708e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.349999999999958 y[1] (closed_form) = -0.1095033435465411 y[1] (numeric) = -0.1095033435467451 absolute error = 2.039479696236413e-13 relative error = 1.862481665109699e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.339999999999959 y[1] (closed_form) = -0.1143764039042495 y[1] (numeric) = -0.114376403904454 absolute error = 2.04489203348146e-13 relative error = 1.787861799880811e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.329999999999961 y[1] (closed_form) = -0.1192380267168808 y[1] (numeric) = -0.1192380267170858 absolute error = 2.050304370726508e-13 relative error = 1.719505452396289e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.319999999999962 y[1] (closed_form) = -0.1240877258262051 y[1] (numeric) = -0.1240877258264106 absolute error = 2.055577930093477e-13 relative error = 1.656552182262153e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.309999999999963 y[1] (closed_form) = -0.1289250162663528 y[1] (numeric) = -0.1289250162665589 absolute error = 2.061129045216603e-13 relative error = 1.598703730979882e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.299999999999964 y[1] (closed_form) = -0.1337494143123111 y[1] (numeric) = -0.1337494143125178 absolute error = 2.066402604583573e-13 relative error = 1.544980675398268e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.289999999999965 y[1] (closed_form) = -0.1385604375282957 y[1] (numeric) = -0.1385604375285028 absolute error = 2.071676163950542e-13 relative error = 1.495142625778359e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.279999999999966 y[1] (closed_form) = -0.143357604815994 y[1] (numeric) = -0.1433576048162017 absolute error = 2.077227279073668e-13 relative error = 1.448982969365234e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.269999999999967 y[1] (closed_form) = -0.1481404364626751 y[1] (numeric) = -0.1481404364628833 absolute error = 2.082500838440637e-13 relative error = 1.405761241270095e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.259999999999968 y[1] (closed_form) = -0.1529084541891598 y[1] (numeric) = -0.1529084541893686 absolute error = 2.088051953563763e-13 relative error = 1.365556904381938e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.249999999999969 y[1] (closed_form) = -0.1576611811976489 y[1] (numeric) = -0.1576611811978582 absolute error = 2.093047957174576e-13 relative error = 1.327560748482956e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.23999999999997 y[1] (closed_form) = -0.1623981422194021 y[1] (numeric) = -0.1623981422196119 absolute error = 2.09804396078539e-13 relative error = 1.291913769525087e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.229999999999972 y[1] (closed_form) = -0.1671188635622647 y[1] (numeric) = -0.167118863562475 absolute error = 2.103039964396203e-13 relative error = 1.258409684920253e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.219999999999973 y[1] (closed_form) = -0.1718228731580363 y[1] (numeric) = -0.1718228731582472 absolute error = 2.108313523763172e-13 relative error = 1.227027278157561e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.209999999999974 y[1] (closed_form) = -0.1765097006096774 y[1] (numeric) = -0.1765097006098888 absolute error = 2.113309527373985e-13 relative error = 1.197276704948487e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.199999999999975 y[1] (closed_form) = -0.1811788772383485 y[1] (numeric) = -0.1811788772385603 absolute error = 2.118305530984799e-13 relative error = 1.169179080516145e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.189999999999976 y[1] (closed_form) = -0.1858299361302776 y[1] (numeric) = -0.18582993613049 absolute error = 2.123301534595612e-13 relative error = 1.14260467328959e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.179999999999977 y[1] (closed_form) = -0.1904624121834515 y[1] (numeric) = -0.1904624121836643 absolute error = 2.128019982450269e-13 relative error = 1.117291311211884e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.169999999999978 y[1] (closed_form) = -0.1950758421541252 y[1] (numeric) = -0.1950758421543385 absolute error = 2.133293541817238e-13 relative error = 1.093571360892432e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.159999999999979 y[1] (closed_form) = -0.1996697647031461 y[1] (numeric) = -0.1996697647033599 absolute error = 2.138567101184208e-13 relative error = 1.071052046544788e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.14999999999998 y[1] (closed_form) = -0.2042437204420876 y[1] (numeric) = -0.2042437204423019 absolute error = 2.143285549038865e-13 relative error = 1.04937647257879e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.139999999999981 y[1] (closed_form) = -0.2087972519791875 y[1] (numeric) = -0.2087972519794023 absolute error = 2.148281552649678e-13 relative error = 1.028884016569248e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.129999999999983 y[1] (closed_form) = -0.2133299039650865 y[1] (numeric) = -0.2133299039653019 absolute error = 2.153555112016647e-13 relative error = 1.009495186558138e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.119999999999984 y[1] (closed_form) = -0.2178412231383634 y[1] (numeric) = -0.2178412231385793 absolute error = 2.158828671383617e-13 relative error = 9.910101679939711e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.109999999999985 y[1] (closed_form) = -0.2223307583708602 y[1] (numeric) = -0.2223307583710766 absolute error = 2.16382467499443e-13 relative error = 9.732457581892688e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.099999999999986 y[1] (closed_form) = -0.226798060712795 y[1] (numeric) = -0.2267980607130119 absolute error = 2.1690982343614e-13 relative error = 9.564006974064167e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.089999999999987 y[1] (closed_form) = -0.2312426834376562 y[1] (numeric) = -0.2312426834378736 absolute error = 2.173816682216057e-13 relative error = 9.400585782434602e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.079999999999988 y[1] (closed_form) = -0.2356641820868753 y[1] (numeric) = -0.2356641820870931 absolute error = 2.17881268582687e-13 relative error = 9.245412970833523e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.069999999999989 y[1] (closed_form) = -0.2400621145142718 y[1] (numeric) = -0.2400621145144902 absolute error = 2.184086245193839e-13 relative error = 9.09800469604709e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.05999999999999 y[1] (closed_form) = -0.244436040930268 y[1] (numeric) = -0.244436040930487 absolute error = 2.189359804560809e-13 relative error = 8.956779844038558e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.049999999999991 y[1] (closed_form) = -0.2487855239458672 y[1] (numeric) = -0.2487855239460866 absolute error = 2.194078252415466e-13 relative error = 8.81915562294883e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.039999999999992 y[1] (closed_form) = -0.2531101286163924 y[1] (numeric) = -0.2531101286166123 absolute error = 2.198796700270123e-13 relative error = 8.68711462591276e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.029999999999994 y[1] (closed_form) = -0.2574094224849804 y[1] (numeric) = -0.2574094224852008 absolute error = 2.203792703880936e-13 relative error = 8.561429813275481e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.019999999999995 y[1] (closed_form) = -0.261682975625827 y[1] (numeric) = -0.2616829756260479 absolute error = 2.208788707491749e-13 relative error = 8.440704643507388e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.009999999999996 y[1] (closed_form) = -0.2659303606871795 y[1] (numeric) = -0.2659303606874008 absolute error = 2.21322959959025e-13 relative error = 8.322590898877193e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9999999999999968 y[1] (closed_form) = -0.2701511529340712 y[1] (numeric) = -0.2701511529342929 absolute error = 2.217115380176438e-13 relative error = 8.206943987085302e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9899999999999968 y[1] (closed_form) = -0.2743449302907952 y[1] (numeric) = -0.2743449302910168 absolute error = 2.216005157151812e-13 relative error = 8.077441616300077e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9799999999999968 y[1] (closed_form) = -0.27851127338311 y[1] (numeric) = -0.2785112733833316 absolute error = 2.216005157151812e-13 relative error = 7.956608471297161e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9699999999999968 y[1] (closed_form) = -0.2826497655801785 y[1] (numeric) = -0.2826497655804 absolute error = 2.214894934127187e-13 relative error = 7.836181748040027e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9599999999999967 y[1] (closed_form) = -0.2867599930362297 y[1] (numeric) = -0.2867599930364512 absolute error = 2.2154500456395e-13 relative error = 7.725798923978899e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9499999999999967 y[1] (closed_form) = -0.2908415447319431 y[1] (numeric) = -0.2908415447321646 absolute error = 2.2154500456395e-13 relative error = 7.617378210810257e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9399999999999967 y[1] (closed_form) = -0.2948940125155504 y[1] (numeric) = -0.294894012515772 absolute error = 2.2154500456395e-13 relative error = 7.512699314377141e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9299999999999967 y[1] (closed_form) = -0.2989169911436504 y[1] (numeric) = -0.298916991143872 absolute error = 2.216005157151812e-13 relative error = 7.41344661831842e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9199999999999967 y[1] (closed_form) = -0.3029100783217327 y[1] (numeric) = -0.3029100783219544 absolute error = 2.216560268664125e-13 relative error = 7.317552063453726e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9099999999999967 y[1] (closed_form) = -0.3068728747444071 y[1] (numeric) = -0.3068728747446288 absolute error = 2.217115380176438e-13 relative error = 7.224865938454359e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8999999999999967 y[1] (closed_form) = -0.3108049841353335 y[1] (numeric) = -0.3108049841355551 absolute error = 2.216005157151812e-13 relative error = 7.12988938487196e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8899999999999967 y[1] (closed_form) = -0.3147060132868497 y[1] (numeric) = -0.3147060132870713 absolute error = 2.2154500456395e-13 relative error = 7.039744879676484e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8799999999999967 y[1] (closed_form) = -0.3185755720992914 y[1] (numeric) = -0.3185755720995129 absolute error = 2.2154500456395e-13 relative error = 6.954237046615125e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8699999999999967 y[1] (closed_form) = -0.3224132736200019 y[1] (numeric) = -0.3224132736202234 absolute error = 2.2154500456395e-13 relative error = 6.871460410934079e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8599999999999967 y[1] (closed_form) = -0.3262187340820272 y[1] (numeric) = -0.3262187340822488 absolute error = 2.216005157151812e-13 relative error = 6.793003974427175e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8499999999999966 y[1] (closed_form) = -0.3299915729424923 y[1] (numeric) = -0.329991572942714 absolute error = 2.216560268664125e-13 relative error = 6.717020828439172e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8399999999999966 y[1] (closed_form) = -0.3337314129206553 y[1] (numeric) = -0.333731412920877 absolute error = 2.216560268664125e-13 relative error = 6.641748971922857e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8299999999999966 y[1] (closed_form) = -0.3374378800356348 y[1] (numeric) = -0.3374378800358564 absolute error = 2.216005157151812e-13 relative error = 6.567149950437672e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8199999999999966 y[1] (closed_form) = -0.341110603643808 y[1] (numeric) = -0.3411106036440296 absolute error = 2.216005157151812e-13 relative error = 6.496441721482786e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8099999999999966 y[1] (closed_form) = -0.3447492164758748 y[1] (numeric) = -0.3447492164760963 absolute error = 2.2154500456395e-13 relative error = 6.426265644013537e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7999999999999966 y[1] (closed_form) = -0.3483533546735839 y[1] (numeric) = -0.3483533546738055 absolute error = 2.2154500456395e-13 relative error = 6.359778127342663e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7899999999999966 y[1] (closed_form) = -0.3519226578261193 y[1] (numeric) = -0.3519226578263408 absolute error = 2.2154500456395e-13 relative error = 6.295275386145006e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7799999999999966 y[1] (closed_form) = -0.3554567690061399 y[1] (numeric) = -0.3554567690063615 absolute error = 2.216005157151812e-13 relative error = 6.2342466099261e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7699999999999966 y[1] (closed_form) = -0.3589553348054729 y[1] (numeric) = -0.3589553348056945 absolute error = 2.216005157151812e-13 relative error = 6.173484392849942e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7599999999999966 y[1] (closed_form) = -0.3624180053704538 y[1] (numeric) = -0.3624180053706754 absolute error = 2.216005157151812e-13 relative error = 6.114500726548265e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7499999999999966 y[1] (closed_form) = -0.3658444344369116 y[1] (numeric) = -0.3658444344371332 absolute error = 2.2154500456395e-13 relative error = 6.055716138061258e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7399999999999965 y[1] (closed_form) = -0.3692342793647951 y[1] (numeric) = -0.3692342793650167 absolute error = 2.2154500456395e-13 relative error = 6.000120166120018e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7299999999999965 y[1] (closed_form) = -0.3725872011724363 y[1] (numeric) = -0.3725872011726578 absolute error = 2.214894934127187e-13 relative error = 5.944635046929903e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7199999999999965 y[1] (closed_form) = -0.3759028645704486 y[1] (numeric) = -0.3759028645706701 absolute error = 2.214339822614875e-13 relative error = 5.890723458958588e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7099999999999965 y[1] (closed_form) = -0.3791809379952552 y[1] (numeric) = -0.3791809379954766 absolute error = 2.214339822614875e-13 relative error = 5.839797312391751e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6999999999999965 y[1] (closed_form) = -0.3824210936422454 y[1] (numeric) = -0.3824210936424667 absolute error = 2.213784711102562e-13 relative error = 5.788866639175391e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6899999999999965 y[1] (closed_form) = -0.3856230074985544 y[1] (numeric) = -0.3856230074987757 absolute error = 2.212674488077937e-13 relative error = 5.737921350779962e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6799999999999965 y[1] (closed_form) = -0.3887863593754651 y[1] (numeric) = -0.3887863593756864 absolute error = 2.21322959959025e-13 relative error = 5.692662682779088e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6699999999999965 y[1] (closed_form) = -0.3919108329404257 y[1] (numeric) = -0.391910832940647 absolute error = 2.21322959959025e-13 relative error = 5.64727844592824e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6599999999999965 y[1] (closed_form) = -0.3949961157486837 y[1] (numeric) = -0.3949961157489049 absolute error = 2.212119376565624e-13 relative error = 5.600357290533677e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6499999999999965 y[1] (closed_form) = -0.398041899274529 y[1] (numeric) = -0.3980418992747502 absolute error = 2.212119376565624e-13 relative error = 5.557503822078611e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6399999999999965 y[1] (closed_form) = -0.4010478789421474 y[1] (numeric) = -0.4010478789423687 absolute error = 2.212674488077937e-13 relative error = 5.51723274017645e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6299999999999965 y[1] (closed_form) = -0.404013754156077 y[1] (numeric) = -0.4040137541562983 absolute error = 2.212674488077937e-13 relative error = 5.476730594729073e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6199999999999964 y[1] (closed_form) = -0.406939228331268 y[1] (numeric) = -0.4069392283314893 absolute error = 2.212674488077937e-13 relative error = 5.437358539139692e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6099999999999964 y[1] (closed_form) = -0.4098240089227408 y[1] (numeric) = -0.4098240089229621 absolute error = 2.212674488077937e-13 relative error = 5.39908458241417e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5999999999999964 y[1] (closed_form) = -0.4126678074548402 y[1] (numeric) = -0.4126678074550615 absolute error = 2.21322959959025e-13 relative error = 5.363223298760594e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5899999999999964 y[1] (closed_form) = -0.4154703395500827 y[1] (numeric) = -0.4154703395503041 absolute error = 2.213784711102562e-13 relative error = 5.328382077767316e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5799999999999964 y[1] (closed_form) = -0.4182313249575945 y[1] (numeric) = -0.4182313249578158 absolute error = 2.21322959959025e-13 relative error = 5.291879081067528e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5699999999999964 y[1] (closed_form) = -0.4209504875811353 y[1] (numeric) = -0.4209504875813567 absolute error = 2.21322959959025e-13 relative error = 5.257695773932711e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5599999999999964 y[1] (closed_form) = -0.423627555506709 y[1] (numeric) = -0.4236275555069303 absolute error = 2.21322959959025e-13 relative error = 5.224470341507798e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5499999999999964 y[1] (closed_form) = -0.4262622610297538 y[1] (numeric) = -0.4262622610299752 absolute error = 2.21322959959025e-13 relative error = 5.192178153992765e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5399999999999964 y[1] (closed_form) = -0.428854340681913 y[1] (numeric) = -0.4288543406821343 absolute error = 2.21322959959025e-13 relative error = 5.160795612027701e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5299999999999964 y[1] (closed_form) = -0.4314035352573814 y[1] (numeric) = -0.4314035352576028 absolute error = 2.214339822614875e-13 relative error = 5.132873612854769e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5199999999999964 y[1] (closed_form) = -0.4339095898388259 y[1] (numeric) = -0.4339095898390472 absolute error = 2.21322959959025e-13 relative error = 5.100669935440573e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5099999999999963 y[1] (closed_form) = -0.4363722538228765 y[1] (numeric) = -0.436372253823098 absolute error = 2.214339822614875e-13 relative error = 5.07442854859804e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4999999999999963 y[1] (closed_form) = -0.4387912809451872 y[1] (numeric) = -0.4387912809454087 absolute error = 2.214894934127187e-13 relative error = 5.047718654199664e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4899999999999963 y[1] (closed_form) = -0.4411664293050616 y[1] (numeric) = -0.4411664293052831 absolute error = 2.214894934127187e-13 relative error = 5.02054278612304e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4799999999999963 y[1] (closed_form) = -0.443497461389643 y[1] (numeric) = -0.4434974613898643 absolute error = 2.213784711102562e-13 relative error = 4.99165137082397e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4699999999999963 y[1] (closed_form) = -0.4457841440976653 y[1] (numeric) = -0.4457841440978867 absolute error = 2.213784711102562e-13 relative error = 4.966046326263124e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4599999999999963 y[1] (closed_form) = -0.4480262487627634 y[1] (numeric) = -0.4480262487629849 absolute error = 2.214339822614875e-13 relative error = 4.942433236288798e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4499999999999963 y[1] (closed_form) = -0.4502235511763393 y[1] (numeric) = -0.4502235511765607 absolute error = 2.213784711102562e-13 relative error = 4.917078871859122e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4399999999999963 y[1] (closed_form) = -0.4523758316099825 y[1] (numeric) = -0.4523758316102039 absolute error = 2.213784711102562e-13 relative error = 4.893684755933612e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4299999999999963 y[1] (closed_form) = -0.4544828748374433 y[1] (numeric) = -0.4544828748376648 absolute error = 2.214894934127187e-13 relative error = 4.873439807648192e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4199999999999963 y[1] (closed_form) = -0.4565444701561549 y[1] (numeric) = -0.4565444701563763 absolute error = 2.214339822614875e-13 relative error = 4.850217158160933e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4099999999999963 y[1] (closed_form) = -0.4585604114083033 y[1] (numeric) = -0.4585604114085247 absolute error = 2.214339822614875e-13 relative error = 4.828894443404582e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3999999999999962 y[1] (closed_form) = -0.4605304970014433 y[1] (numeric) = -0.4605304970016646 absolute error = 2.21322959959025e-13 relative error = 4.805826354607985e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3899999999999962 y[1] (closed_form) = -0.4624545299286572 y[1] (numeric) = -0.4624545299288785 absolute error = 2.21322959959025e-13 relative error = 4.785831809089824e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3799999999999962 y[1] (closed_form) = -0.4643323177882558 y[1] (numeric) = -0.4643323177884771 absolute error = 2.212674488077937e-13 relative error = 4.765282112211189e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3699999999999962 y[1] (closed_form) = -0.4661636728030179 y[1] (numeric) = -0.4661636728032392 absolute error = 2.212674488077937e-13 relative error = 4.746561384273554e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3599999999999962 y[1] (closed_form) = -0.4679484118389681 y[1] (numeric) = -0.4679484118391893 absolute error = 2.212674488077937e-13 relative error = 4.728458163545109e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3499999999999962 y[1] (closed_form) = -0.4696863564236901 y[1] (numeric) = -0.4696863564239114 absolute error = 2.21322959959025e-13 relative error = 4.71214368763516e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3399999999999962 y[1] (closed_form) = -0.4713773327641738 y[1] (numeric) = -0.4713773327643951 absolute error = 2.21322959959025e-13 relative error = 4.695239770253251e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3299999999999962 y[1] (closed_form) = -0.4730211717641941 y[1] (numeric) = -0.4730211717644154 absolute error = 2.21322959959025e-13 relative error = 4.678922914455861e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3199999999999962 y[1] (closed_form) = -0.474617709041221 y[1] (numeric) = -0.4746177090414423 absolute error = 2.21322959959025e-13 relative error = 4.663183773865523e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3099999999999962 y[1] (closed_form) = -0.4761667849428573 y[1] (numeric) = -0.4761667849430786 absolute error = 2.212674488077937e-13 relative error = 4.646847613160314e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2999999999999962 y[1] (closed_form) = -0.4776682445628036 y[1] (numeric) = -0.4776682445630249 absolute error = 2.21322959959025e-13 relative error = 4.633403255885174e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2899999999999961 y[1] (closed_form) = -0.4791219377563491 y[1] (numeric) = -0.4791219377565704 absolute error = 2.212674488077937e-13 relative error = 4.618186548584135e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2799999999999961 y[1] (closed_form) = -0.480527719155386 y[1] (numeric) = -0.4805277191556072 absolute error = 2.212119376565624e-13 relative error = 4.603520855058731e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2699999999999961 y[1] (closed_form) = -0.4818854481829458 y[1] (numeric) = -0.481885448183167 absolute error = 2.212119376565624e-13 relative error = 4.590550274773607e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2599999999999961 y[1] (closed_form) = -0.4831949890672571 y[1] (numeric) = -0.4831949890674783 absolute error = 2.212119376565624e-13 relative error = 4.578109100087779e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2499999999999961 y[1] (closed_form) = -0.4844562108553229 y[1] (numeric) = -0.484456210855544 absolute error = 2.211564265053312e-13 relative error = 4.565044715081111e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2399999999999961 y[1] (closed_form) = -0.4856689874260153 y[1] (numeric) = -0.4856689874262365 absolute error = 2.212119376565624e-13 relative error = 4.554788207271747e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2299999999999961 y[1] (closed_form) = -0.4868331975026879 y[1] (numeric) = -0.486833197502909 absolute error = 2.211564265053312e-13 relative error = 4.542755663331898e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2199999999999961 y[1] (closed_form) = -0.4879487246653031 y[1] (numeric) = -0.4879487246655244 absolute error = 2.212119376565624e-13 relative error = 4.533507855939116e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2099999999999961 y[1] (closed_form) = -0.4890154573620745 y[1] (numeric) = -0.4890154573622956 absolute error = 2.211009153540999e-13 relative error = 4.521348191053057e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1999999999999961 y[1] (closed_form) = -0.4900332889206212 y[1] (numeric) = -0.4900332889208423 absolute error = 2.211009153540999e-13 relative error = 4.511957051756851e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1899999999999961 y[1] (closed_form) = -0.4910021175586355 y[1] (numeric) = -0.4910021175588566 absolute error = 2.211009153540999e-13 relative error = 4.503054211934148e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1799999999999961 y[1] (closed_form) = -0.4919218463940611 y[1] (numeric) = -0.4919218463942822 absolute error = 2.211009153540999e-13 relative error = 4.494635011127029e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.169999999999996 y[1] (closed_form) = -0.4927923834547807 y[1] (numeric) = -0.4927923834550016 absolute error = 2.209343819004062e-13 relative error = 4.483315678532182e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.159999999999996 y[1] (closed_form) = -0.4936136416878138 y[1] (numeric) = -0.4936136416880348 absolute error = 2.210454042028687e-13 relative error = 4.4781056586493e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.149999999999996 y[1] (closed_form) = -0.4943855389680215 y[1] (numeric) = -0.4943855389682426 absolute error = 2.211009153540999e-13 relative error = 4.472236704488266e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.139999999999996 y[1] (closed_form) = -0.4951079981063188 y[1] (numeric) = -0.49510799810654 absolute error = 2.212119376565624e-13 relative error = 4.467953224400542e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.129999999999996 y[1] (closed_form) = -0.4957809468573943 y[1] (numeric) = -0.4957809468576155 absolute error = 2.212119376565624e-13 relative error = 4.461888643739904e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.119999999999996 y[1] (closed_form) = -0.4964043179269333 y[1] (numeric) = -0.4964043179271546 absolute error = 2.212119376565624e-13 relative error = 4.456285525081251e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.109999999999996 y[1] (closed_form) = -0.4969780489783486 y[1] (numeric) = -0.4969780489785698 absolute error = 2.212119376565624e-13 relative error = 4.451141013397149e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.09999999999999598 y[1] (closed_form) = -0.4975020826390131 y[1] (numeric) = -0.4975020826392343 absolute error = 2.212119376565624e-13 relative error = 4.446452494894851e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.08999999999999597 y[1] (closed_form) = -0.4979763665059973 y[1] (numeric) = -0.4979763665062184 absolute error = 2.211009153540999e-13 relative error = 4.439988124445201e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.07999999999999596 y[1] (closed_form) = -0.4984008531513098 y[1] (numeric) = -0.4984008531515309 absolute error = 2.211009153540999e-13 relative error = 4.436206598686856e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.06999999999999595 y[1] (closed_form) = -0.4987755001266399 y[1] (numeric) = -0.4987755001268611 absolute error = 2.211564265053312e-13 relative error = 4.433987364038113e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.05999999999999595 y[1] (closed_form) = -0.4991002699676022 y[1] (numeric) = -0.4991002699678233 absolute error = 2.211009153540999e-13 relative error = 4.429989896989079e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.04999999999999594 y[1] (closed_form) = -0.4993751301974833 y[1] (numeric) = -0.4993751301977044 absolute error = 2.211009153540999e-13 relative error = 4.427551593661927e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.03999999999999593 y[1] (closed_form) = -0.4996000533304891 y[1] (numeric) = -0.4996000533307102 absolute error = 2.211564265053312e-13 relative error = 4.426669393468511e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.02999999999999592 y[1] (closed_form) = -0.4997750168744938 y[1] (numeric) = -0.4997750168747149 absolute error = 2.211009153540999e-13 relative error = 4.424008961808988e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.01999999999999591 y[1] (closed_form) = -0.4999000033332889 y[1] (numeric) = -0.49990000333351 absolute error = 2.210454042028687e-13 relative error = 4.421792413061762e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.009999999999995901 y[1] (closed_form) = -0.4999750002083326 y[1] (numeric) = -0.4999750002085537 absolute error = 2.211009153540999e-13 relative error = 4.422239417210265e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.100886297209172e-15 y[1] (closed_form) = -0.5 y[1] (numeric) = -0.500000000000221 absolute error = 2.210454042028687e-13 relative error = 4.420908084057373e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.0100000000000041 y[1] (closed_form) = -0.4999750002083326 y[1] (numeric) = -0.4999750002085537 absolute error = 2.211009153540999e-13 relative error = 4.422239417210265e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.02000000000000411 y[1] (closed_form) = -0.4999000033332888 y[1] (numeric) = -0.49990000333351 absolute error = 2.211564265053312e-13 relative error = 4.42401330327425e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.03000000000000412 y[1] (closed_form) = -0.4997750168744937 y[1] (numeric) = -0.4997750168747149 absolute error = 2.211564265053312e-13 relative error = 4.425119684621395e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.04000000000000413 y[1] (closed_form) = -0.4996000533304889 y[1] (numeric) = -0.4996000533307101 absolute error = 2.211564265053312e-13 relative error = 4.426669393468512e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.05000000000000414 y[1] (closed_form) = -0.499375130197483 y[1] (numeric) = -0.4993751301977041 absolute error = 2.211009153540999e-13 relative error = 4.427551593661929e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.06000000000000415 y[1] (closed_form) = -0.499100269967602 y[1] (numeric) = -0.4991002699678231 absolute error = 2.211009153540999e-13 relative error = 4.42998989698908e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.07000000000000416 y[1] (closed_form) = -0.4987755001266396 y[1] (numeric) = -0.4987755001268607 absolute error = 2.211009153540999e-13 relative error = 4.432874415402564e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.08000000000000417 y[1] (closed_form) = -0.4984008531513096 y[1] (numeric) = -0.4984008531515306 absolute error = 2.210454042028687e-13 relative error = 4.43509281344993e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.09000000000000417 y[1] (closed_form) = -0.4979763665059969 y[1] (numeric) = -0.497976366506218 absolute error = 2.211009153540999e-13 relative error = 4.439988124445205e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1000000000000042 y[1] (closed_form) = -0.4975020826390127 y[1] (numeric) = -0.4975020826392338 absolute error = 2.211009153540999e-13 relative error = 4.444220900167179e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1100000000000042 y[1] (closed_form) = -0.4969780489783482 y[1] (numeric) = -0.4969780489785693 absolute error = 2.211564265053312e-13 relative error = 4.450024039491657e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1200000000000042 y[1] (closed_form) = -0.4964043179269328 y[1] (numeric) = -0.496404317927154 absolute error = 2.211564265053312e-13 relative error = 4.455167260206705e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1300000000000042 y[1] (closed_form) = -0.4957809468573938 y[1] (numeric) = -0.4957809468576149 absolute error = 2.211564265053312e-13 relative error = 4.460768972812998e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1400000000000042 y[1] (closed_form) = -0.4951079981063183 y[1] (numeric) = -0.4951079981065395 absolute error = 2.212119376565624e-13 relative error = 4.467953224400546e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1500000000000042 y[1] (closed_form) = -0.4943855389680208 y[1] (numeric) = -0.4943855389682419 absolute error = 2.211009153540999e-13 relative error = 4.472236704488271e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1600000000000042 y[1] (closed_form) = -0.4936136416878131 y[1] (numeric) = -0.4936136416880342 absolute error = 2.211009153540999e-13 relative error = 4.479230245705722e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1700000000000042 y[1] (closed_form) = -0.49279238345478 y[1] (numeric) = -0.492792383455001 absolute error = 2.210454042028687e-13 relative error = 4.485568600983713e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1800000000000042 y[1] (closed_form) = -0.4919218463940603 y[1] (numeric) = -0.4919218463942813 absolute error = 2.209898930516374e-13 relative error = 4.492378101756648e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1900000000000042 y[1] (closed_form) = -0.4910021175586348 y[1] (numeric) = -0.4910021175588557 absolute error = 2.209343819004062e-13 relative error = 4.499662506527224e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2000000000000043 y[1] (closed_form) = -0.4900332889206204 y[1] (numeric) = -0.4900332889208414 absolute error = 2.209898930516374e-13 relative error = 4.509691444399712e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2100000000000043 y[1] (closed_form) = -0.4890154573620737 y[1] (numeric) = -0.4890154573622946 absolute error = 2.209343819004062e-13 relative error = 4.517942706600853e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2200000000000043 y[1] (closed_form) = -0.4879487246653023 y[1] (numeric) = -0.4879487246655233 absolute error = 2.210454042028687e-13 relative error = 4.530094926562006e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2300000000000043 y[1] (closed_form) = -0.4868331975026869 y[1] (numeric) = -0.486833197502908 absolute error = 2.210454042028687e-13 relative error = 4.540475163500917e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2400000000000043 y[1] (closed_form) = -0.4856689874260143 y[1] (numeric) = -0.4856689874262353 absolute error = 2.210454042028687e-13 relative error = 4.551359257554864e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2500000000000043 y[1] (closed_form) = -0.4844562108553219 y[1] (numeric) = -0.4844562108555429 absolute error = 2.209898930516374e-13 relative error = 4.561607181410125e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2600000000000043 y[1] (closed_form) = -0.4831949890672561 y[1] (numeric) = -0.4831949890674772 absolute error = 2.211009153540999e-13 relative error = 4.575811429272186e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2700000000000043 y[1] (closed_form) = -0.4818854481829447 y[1] (numeric) = -0.4818854481831658 absolute error = 2.211009153540999e-13 relative error = 4.588246359955663e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2800000000000043 y[1] (closed_form) = -0.4805277191553849 y[1] (numeric) = -0.480527719155606 absolute error = 2.211009153540999e-13 relative error = 4.601210430539264e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2900000000000043 y[1] (closed_form) = -0.479121937756348 y[1] (numeric) = -0.4791219377565691 absolute error = 2.211564265053312e-13 relative error = 4.615869345097652e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3000000000000043 y[1] (closed_form) = -0.4776682445628024 y[1] (numeric) = -0.4776682445630236 absolute error = 2.212674488077937e-13 relative error = 4.632241128156094e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3100000000000043 y[1] (closed_form) = -0.476166784942856 y[1] (numeric) = -0.4761667849430773 absolute error = 2.212674488077937e-13 relative error = 4.646847613160327e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000043 y[1] (closed_form) = -0.4746177090412197 y[1] (numeric) = -0.474617709041441 absolute error = 2.212674488077937e-13 relative error = 4.662014176731382e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3300000000000043 y[1] (closed_form) = -0.4730211717641928 y[1] (numeric) = -0.4730211717644141 absolute error = 2.21322959959025e-13 relative error = 4.678922914455874e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000044 y[1] (closed_form) = -0.4713773327641724 y[1] (numeric) = -0.4713773327643938 absolute error = 2.213784711102562e-13 relative error = 4.696417407516935e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3500000000000044 y[1] (closed_form) = -0.4696863564236887 y[1] (numeric) = -0.46968635642391 absolute error = 2.21322959959025e-13 relative error = 4.712143687635175e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3600000000000044 y[1] (closed_form) = -0.4679484118389667 y[1] (numeric) = -0.4679484118391879 absolute error = 2.212674488077937e-13 relative error = 4.728458163545122e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3700000000000044 y[1] (closed_form) = -0.4661636728030164 y[1] (numeric) = -0.4661636728032377 absolute error = 2.21322959959025e-13 relative error = 4.747752192448249e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3800000000000044 y[1] (closed_form) = -0.4643323177882543 y[1] (numeric) = -0.4643323177884756 absolute error = 2.21322959959025e-13 relative error = 4.76647761700604e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3900000000000044 y[1] (closed_form) = -0.4624545299286557 y[1] (numeric) = -0.4624545299288769 absolute error = 2.212119376565624e-13 relative error = 4.783431090851018e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4000000000000044 y[1] (closed_form) = -0.4605304970014417 y[1] (numeric) = -0.4605304970016628 absolute error = 2.211564265053312e-13 relative error = 4.802210232445016e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4100000000000044 y[1] (closed_form) = -0.4585604114083017 y[1] (numeric) = -0.4585604114085229 absolute error = 2.212119376565624e-13 relative error = 4.824052232882258e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4200000000000044 y[1] (closed_form) = -0.4565444701561532 y[1] (numeric) = -0.4565444701563745 absolute error = 2.212674488077937e-13 relative error = 4.846569464133755e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4300000000000044 y[1] (closed_form) = -0.4544828748374417 y[1] (numeric) = -0.454482874837663 absolute error = 2.21322959959025e-13 relative error = 4.869775567191332e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4400000000000044 y[1] (closed_form) = -0.4523758316099807 y[1] (numeric) = -0.4523758316102021 absolute error = 2.21322959959025e-13 relative error = 4.892457653437158e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000045 y[1] (closed_form) = -0.4502235511763375 y[1] (numeric) = -0.4502235511765588 absolute error = 2.212674488077937e-13 relative error = 4.914612934611469e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4600000000000045 y[1] (closed_form) = -0.4480262487627616 y[1] (numeric) = -0.448026248762983 absolute error = 2.21322959959025e-13 relative error = 4.939955205084862e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4700000000000045 y[1] (closed_form) = -0.4457841440976635 y[1] (numeric) = -0.4457841440978848 absolute error = 2.21322959959025e-13 relative error = 4.964801078939609e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4800000000000045 y[1] (closed_form) = -0.4434974613896411 y[1] (numeric) = -0.4434974613898624 absolute error = 2.21322959959025e-13 relative error = 4.990399702977747e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4900000000000045 y[1] (closed_form) = -0.4411664293050597 y[1] (numeric) = -0.441166429305281 absolute error = 2.213784711102562e-13 relative error = 5.018026223323001e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5000000000000044 y[1] (closed_form) = -0.4387912809451853 y[1] (numeric) = -0.4387912809454066 absolute error = 2.213784711102562e-13 relative error = 5.045188469410614e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5100000000000044 y[1] (closed_form) = -0.4363722538228745 y[1] (numeric) = -0.4363722538230959 absolute error = 2.21322959959025e-13 relative error = 5.071884337743915e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5200000000000045 y[1] (closed_form) = -0.4339095898388238 y[1] (numeric) = -0.4339095898390451 absolute error = 2.212674488077937e-13 relative error = 5.099390610149541e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5300000000000045 y[1] (closed_form) = -0.4314035352573794 y[1] (numeric) = -0.4314035352576007 absolute error = 2.21322959959025e-13 relative error = 5.130300098884948e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5400000000000045 y[1] (closed_form) = -0.4288543406819109 y[1] (numeric) = -0.4288543406821322 absolute error = 2.21322959959025e-13 relative error = 5.160795612027726e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000045 y[1] (closed_form) = -0.4262622610297517 y[1] (numeric) = -0.426262261029973 absolute error = 2.21322959959025e-13 relative error = 5.192178153992792e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5600000000000045 y[1] (closed_form) = -0.4236275555067069 y[1] (numeric) = -0.4236275555069282 absolute error = 2.212674488077937e-13 relative error = 5.223159965199445e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5700000000000045 y[1] (closed_form) = -0.4209504875811332 y[1] (numeric) = -0.4209504875813545 absolute error = 2.21322959959025e-13 relative error = 5.257695773932738e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5800000000000045 y[1] (closed_form) = -0.4182313249575922 y[1] (numeric) = -0.4182313249578136 absolute error = 2.21322959959025e-13 relative error = 5.291879081067556e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5900000000000045 y[1] (closed_form) = -0.4154703395500805 y[1] (numeric) = -0.4154703395503019 absolute error = 2.213784711102562e-13 relative error = 5.328382077767345e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6000000000000045 y[1] (closed_form) = -0.4126678074548379 y[1] (numeric) = -0.4126678074550593 absolute error = 2.213784711102562e-13 relative error = 5.364568476412683e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6100000000000045 y[1] (closed_form) = -0.4098240089227385 y[1] (numeric) = -0.4098240089229598 absolute error = 2.21322959959025e-13 relative error = 5.400439094351585e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6200000000000045 y[1] (closed_form) = -0.4069392283312657 y[1] (numeric) = -0.406939228331487 absolute error = 2.21322959959025e-13 relative error = 5.438722653173627e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6300000000000046 y[1] (closed_form) = -0.4040137541560746 y[1] (numeric) = -0.4040137541562959 absolute error = 2.21322959959025e-13 relative error = 5.478104586348455e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6400000000000046 y[1] (closed_form) = -0.4010478789421449 y[1] (numeric) = -0.4010478789423662 absolute error = 2.212674488077937e-13 relative error = 5.517232740176484e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6500000000000046 y[1] (closed_form) = -0.3980418992745265 y[1] (numeric) = -0.3980418992747478 absolute error = 2.212119376565624e-13 relative error = 5.557503822078645e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6600000000000046 y[1] (closed_form) = -0.3949961157486812 y[1] (numeric) = -0.3949961157489024 absolute error = 2.212674488077937e-13 relative error = 5.601762649954172e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6700000000000046 y[1] (closed_form) = -0.3919108329404232 y[1] (numeric) = -0.3919108329406445 absolute error = 2.212674488077937e-13 relative error = 5.645862022942089e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6800000000000046 y[1] (closed_form) = -0.3887863593754625 y[1] (numeric) = -0.3887863593756837 absolute error = 2.212119376565624e-13 relative error = 5.689807070698473e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6900000000000046 y[1] (closed_form) = -0.3856230074985518 y[1] (numeric) = -0.385623007498773 absolute error = 2.212119376565624e-13 relative error = 5.736481832127021e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7000000000000046 y[1] (closed_form) = -0.3824210936422427 y[1] (numeric) = -0.382421093642464 absolute error = 2.212674488077937e-13 relative error = 5.785963496427599e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7100000000000046 y[1] (closed_form) = -0.3791809379952526 y[1] (numeric) = -0.3791809379954739 absolute error = 2.212674488077937e-13 relative error = 5.835405386611602e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7200000000000046 y[1] (closed_form) = -0.375902864570446 y[1] (numeric) = -0.3759028645706672 absolute error = 2.212674488077937e-13 relative error = 5.886293233243694e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7300000000000046 y[1] (closed_form) = -0.3725872011724337 y[1] (numeric) = -0.372587201172655 absolute error = 2.21322959959025e-13 relative error = 5.940165396518721e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7400000000000047 y[1] (closed_form) = -0.3692342793647924 y[1] (numeric) = -0.3692342793650138 absolute error = 2.214339822614875e-13 relative error = 5.997113340679763e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7500000000000047 y[1] (closed_form) = -0.3658444344369088 y[1] (numeric) = -0.3658444344371302 absolute error = 2.213784711102562e-13 relative error = 6.051164108892129e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7600000000000047 y[1] (closed_form) = -0.362418005370451 y[1] (numeric) = -0.3624180053706724 absolute error = 2.213784711102562e-13 relative error = 6.108373972313293e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7700000000000047 y[1] (closed_form) = -0.35895533480547 y[1] (numeric) = -0.3589553348056914 absolute error = 2.213784711102562e-13 relative error = 6.167298536744931e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7800000000000047 y[1] (closed_form) = -0.355456769006137 y[1] (numeric) = -0.3554567690063584 absolute error = 2.21322959959025e-13 relative error = 6.226438184813517e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7900000000000047 y[1] (closed_form) = -0.3519226578261164 y[1] (numeric) = -0.3519226578263377 absolute error = 2.21322959959025e-13 relative error = 6.288965914447594e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8000000000000047 y[1] (closed_form) = -0.348353354673581 y[1] (numeric) = -0.3483533546738023 absolute error = 2.212674488077937e-13 relative error = 6.351810477471327e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8100000000000047 y[1] (closed_form) = -0.3447492164758718 y[1] (numeric) = -0.344749216476093 absolute error = 2.212119376565624e-13 relative error = 6.416604507991523e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8200000000000047 y[1] (closed_form) = -0.341110603643805 y[1] (numeric) = -0.3411106036440263 absolute error = 2.212674488077937e-13 relative error = 6.48667753051869e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8300000000000047 y[1] (closed_form) = -0.3374378800356318 y[1] (numeric) = -0.3374378800358531 absolute error = 2.212674488077937e-13 relative error = 6.55727948458036e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8400000000000047 y[1] (closed_form) = -0.3337314129206523 y[1] (numeric) = -0.3337314129208735 absolute error = 2.212674488077937e-13 relative error = 6.630105535207802e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8500000000000048 y[1] (closed_form) = -0.3299915729424893 y[1] (numeric) = -0.3299915729427105 absolute error = 2.212119376565624e-13 relative error = 6.703563235995578e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8600000000000048 y[1] (closed_form) = -0.3262187340820241 y[1] (numeric) = -0.3262187340822453 absolute error = 2.212119376565624e-13 relative error = 6.781092394311761e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8700000000000048 y[1] (closed_form) = -0.3224132736199988 y[1] (numeric) = -0.3224132736202199 absolute error = 2.211564265053312e-13 relative error = 6.859408237825516e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8800000000000048 y[1] (closed_form) = -0.3185755720992883 y[1] (numeric) = -0.3185755720995093 absolute error = 2.210454042028687e-13 relative error = 6.938554728043522e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8900000000000048 y[1] (closed_form) = -0.3147060132868466 y[1] (numeric) = -0.3147060132870675 absolute error = 2.209898930516374e-13 relative error = 7.022105829614725e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9000000000000048 y[1] (closed_form) = -0.3108049841353304 y[1] (numeric) = -0.3108049841355514 absolute error = 2.209898930516374e-13 relative error = 7.110242896086062e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9100000000000048 y[1] (closed_form) = -0.3068728747444039 y[1] (numeric) = -0.306872874744625 absolute error = 2.211009153540999e-13 relative error = 7.204967709780674e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9200000000000048 y[1] (closed_form) = -0.3029100783217295 y[1] (numeric) = -0.3029100783219506 absolute error = 2.211009153540999e-13 relative error = 7.299226112881669e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9300000000000048 y[1] (closed_form) = -0.2989169911436472 y[1] (numeric) = -0.2989169911438683 absolute error = 2.211009153540999e-13 relative error = 7.396732936062773e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9400000000000048 y[1] (closed_form) = -0.2948940125155471 y[1] (numeric) = -0.2948940125157682 absolute error = 2.210454042028687e-13 relative error = 7.49575762211228e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9500000000000048 y[1] (closed_form) = -0.2908415447319398 y[1] (numeric) = -0.2908415447321608 absolute error = 2.210454042028687e-13 relative error = 7.600200459896464e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9600000000000048 y[1] (closed_form) = -0.2867599930362263 y[1] (numeric) = -0.2867599930364474 absolute error = 2.211009153540999e-13 relative error = 7.710312481635759e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9700000000000049 y[1] (closed_form) = -0.2826497655801751 y[1] (numeric) = -0.2826497655803962 absolute error = 2.211009153540999e-13 relative error = 7.822434060762858e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9800000000000049 y[1] (closed_form) = -0.2785112733831066 y[1] (numeric) = -0.2785112733833277 absolute error = 2.211009153540999e-13 relative error = 7.938670225745736e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9900000000000049 y[1] (closed_form) = -0.2743449302907918 y[1] (numeric) = -0.2743449302910129 absolute error = 2.211009153540999e-13 relative error = 8.059230951333568e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.000000000000005 y[1] (closed_form) = -0.2701511529340678 y[1] (numeric) = -0.270151152934289 absolute error = 2.212119376565624e-13 relative error = 8.188450623068437e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.010000000000004 y[1] (closed_form) = -0.2659303606871761 y[1] (numeric) = -0.2659303606873969 absolute error = 2.208233595979436e-13 relative error = 8.303804011972384e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.020000000000003 y[1] (closed_form) = -0.2616829756258237 y[1] (numeric) = -0.261682975626044 absolute error = 2.203237592368623e-13 relative error = 8.419491512963371e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.030000000000002 y[1] (closed_form) = -0.257409422484977 y[1] (numeric) = -0.2574094224851969 absolute error = 2.198796700270123e-13 relative error = 8.542021030323586e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (closed_form) = -0.253110128616389 y[1] (numeric) = -0.2531101286166084 absolute error = 2.193800696659309e-13 relative error = 8.667376168040317e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999999 y[1] (closed_form) = -0.2487855239458638 y[1] (numeric) = -0.2487855239460827 absolute error = 2.189359804560809e-13 relative error = 8.800189696878095e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.059999999999998 y[1] (closed_form) = -0.2444360409302645 y[1] (numeric) = -0.244436040930483 absolute error = 2.184641356706152e-13 relative error = 8.937476439202396e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.069999999999997 y[1] (closed_form) = -0.2400621145142683 y[1] (numeric) = -0.2400621145144862 absolute error = 2.179367797339182e-13 relative error = 9.07834958360183e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.079999999999996 y[1] (closed_form) = -0.2356641820868717 y[1] (numeric) = -0.2356641820870891 absolute error = 2.174094237972213e-13 relative error = 9.22539105739364e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.089999999999995 y[1] (closed_form) = -0.2312426834376527 y[1] (numeric) = -0.2312426834378696 absolute error = 2.169375790117556e-13 relative error = 9.381381317097801e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.099999999999994 y[1] (closed_form) = -0.2267980607127914 y[1] (numeric) = -0.2267980607130079 absolute error = 2.164379786506743e-13 relative error = 9.543202352367695e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.109999999999993 y[1] (closed_form) = -0.2223307583708567 y[1] (numeric) = -0.2223307583710726 absolute error = 2.159383782895929e-13 relative error = 9.712483323130622e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999992 y[1] (closed_form) = -0.2178412231383598 y[1] (numeric) = -0.2178412231385753 absolute error = 2.154665335041273e-13 relative error = 9.890989887036931e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999991 y[1] (closed_form) = -0.2133299039650829 y[1] (numeric) = -0.2133299039652979 absolute error = 2.149391775674303e-13 relative error = 1.007543591275468e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999989 y[1] (closed_form) = -0.2087972519791838 y[1] (numeric) = -0.2087972519793983 absolute error = 2.14439577206349e-13 relative error = 1.02702298604834e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999988 y[1] (closed_form) = -0.204243720442084 y[1] (numeric) = -0.2042437204422979 absolute error = 2.139399768452677e-13 relative error = 1.047473951131502e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.159999999999987 y[1] (closed_form) = -0.1996697647031424 y[1] (numeric) = -0.1996697647033559 absolute error = 2.13468132059802e-13 relative error = 1.069105942891124e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.169999999999986 y[1] (closed_form) = -0.1950758421541215 y[1] (numeric) = -0.1950758421543344 absolute error = 2.129685316987207e-13 relative error = 1.091721708577646e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.179999999999985 y[1] (closed_form) = -0.1904624121834478 y[1] (numeric) = -0.1904624121836603 absolute error = 2.124689313376393e-13 relative error = 1.115542583452086e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.189999999999984 y[1] (closed_form) = -0.1858299361302739 y[1] (numeric) = -0.1858299361304858 absolute error = 2.119415754009424e-13 relative error = 1.140513632057449e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.199999999999983 y[1] (closed_form) = -0.1811788772383448 y[1] (numeric) = -0.1811788772385562 absolute error = 2.114419750398611e-13 relative error = 1.167034359980631e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999982 y[1] (closed_form) = -0.1765097006096737 y[1] (numeric) = -0.1765097006098846 absolute error = 2.109423746787797e-13 relative error = 1.195075250539624e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.219999999999981 y[1] (closed_form) = -0.1718228731580326 y[1] (numeric) = -0.171822873158243 absolute error = 2.104150187420828e-13 relative error = 1.224604238508778e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.22999999999998 y[1] (closed_form) = -0.1671188635622609 y[1] (numeric) = -0.1671188635624709 absolute error = 2.099154183810015e-13 relative error = 1.256084525148751e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.239999999999978 y[1] (closed_form) = -0.1623981422193983 y[1] (numeric) = -0.1623981422196077 absolute error = 2.094158180199202e-13 relative error = 1.289521020117345e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.249999999999977 y[1] (closed_form) = -0.1576611811976451 y[1] (numeric) = -0.157661181197854 absolute error = 2.088884620832232e-13 relative error = 1.324920062734779e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.259999999999976 y[1] (closed_form) = -0.152908454189156 y[1] (numeric) = -0.1529084541893643 absolute error = 2.083611061465263e-13 relative error = 1.362652622782861e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.269999999999975 y[1] (closed_form) = -0.1481404364626712 y[1] (numeric) = -0.1481404364628791 absolute error = 2.078337502098293e-13 relative error = 1.40295084294692e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.279999999999974 y[1] (closed_form) = -0.1433576048159902 y[1] (numeric) = -0.1433576048161975 absolute error = 2.073063942731324e-13 relative error = 1.446078807882045e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.289999999999973 y[1] (closed_form) = -0.1385604375282918 y[1] (numeric) = -0.1385604375284986 absolute error = 2.067790383364354e-13 relative error = 1.492338231785783e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999972 y[1] (closed_form) = -0.1337494143123073 y[1] (numeric) = -0.1337494143125135 absolute error = 2.062516823997385e-13 relative error = 1.542075406163178e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.309999999999971 y[1] (closed_form) = -0.128925016266349 y[1] (numeric) = -0.1289250162665547 absolute error = 2.057243264630415e-13 relative error = 1.595689746030601e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.31999999999997 y[1] (closed_form) = -0.1240877258262012 y[1] (numeric) = -0.1240877258264064 absolute error = 2.051830927385367e-13 relative error = 1.653532542178416e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.329999999999969 y[1] (closed_form) = -0.1192380267168769 y[1] (numeric) = -0.1192380267170815 absolute error = 2.046557368018398e-13 relative error = 1.716362996242649e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999967 y[1] (closed_form) = -0.1143764039042456 y[1] (numeric) = -0.1143764039044497 absolute error = 2.041006252895272e-13 relative error = 1.784464437790836e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.349999999999966 y[1] (closed_form) = -0.1095033435465372 y[1] (numeric) = -0.1095033435467408 absolute error = 2.035593915650225e-13 relative error = 1.858933115393987e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.359999999999965 y[1] (closed_form) = -0.1046193329457267 y[1] (numeric) = -0.1046193329459297 absolute error = 2.030320356283255e-13 relative error = 1.94067415564246e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.369999999999964 y[1] (closed_form) = -0.09972486049880405 y[1] (numeric) = -0.09972486049900654 absolute error = 2.024908019038207e-13 relative error = 2.030494712060781e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.379999999999963 y[1] (closed_form) = -0.09482041564893533 y[1] (numeric) = -0.09482041564913728 absolute error = 2.01949568179316e-13 relative error = 2.129811041189878e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.389999999999962 y[1] (closed_form) = -0.08990648883651846 y[1] (numeric) = -0.08990648883671988 absolute error = 2.01422212242619e-13 relative error = 2.24035233551246e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.399999999999961 y[1] (closed_form) = -0.08498357145013977 y[1] (numeric) = -0.08498357145034062 absolute error = 2.008532229424986e-13 relative error = 2.363435891375077e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.40999999999996 y[1] (closed_form) = -0.08005215577743548 y[1] (numeric) = -0.08005215577763576 absolute error = 2.002842336423782e-13 relative error = 2.501921799572984e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.419999999999959 y[1] (closed_form) = -0.07511273495586333 y[1] (numeric) = -0.07511273495606308 absolute error = 1.997429999178735e-13 relative error = 2.659242803969841e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999958 y[1] (closed_form) = -0.07016580292338936 y[1] (numeric) = -0.07016580292358854 absolute error = 1.991740106177531e-13 relative error = 2.83861941742791e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.439999999999956 y[1] (closed_form) = -0.06521185436909435 y[1] (numeric) = -0.06521185436929297 absolute error = 1.986188991054405e-13 relative error = 3.045748369326718e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.449999999999955 y[1] (closed_form) = -0.06025138468370546 y[1] (numeric) = -0.06025138468390354 absolute error = 1.980776653809357e-13 relative error = 3.287520551116967e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.459999999999954 y[1] (closed_form) = -0.05528488991005753 y[1] (numeric) = -0.05528488991025504 absolute error = 1.975156149747193e-13 relative error = 3.5726871355999e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.469999999999953 y[1] (closed_form) = -0.05031286669348917 y[1] (numeric) = -0.05031286669368614 absolute error = 1.969674423563106e-13 relative error = 3.9148523091768e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.479999999999952 y[1] (closed_form) = -0.04533581223217872 y[1] (numeric) = -0.04533581223237513 absolute error = 1.96412330843998e-13 relative error = 4.332388043212058e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.489999999999951 y[1] (closed_form) = -0.04035422422742477 y[1] (numeric) = -0.04035422422762064 absolute error = 1.958710971194932e-13 relative error = 4.853794140995506e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.49999999999995 y[1] (closed_form) = -0.03536860083387648 y[1] (numeric) = -0.03536860083407181 absolute error = 1.953298633949885e-13 relative error = 5.522691279545871e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999949 y[1] (closed_form) = -0.03037944060971855 y[1] (numeric) = -0.03037944060991333 absolute error = 1.947851602235318e-13 relative error = 6.411742820610691e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.519999999999948 y[1] (closed_form) = -0.02538724246681576 y[1] (numeric) = -0.02538724246700999 absolute error = 1.942369876051231e-13 relative error = 7.650968310521109e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.529999999999947 y[1] (closed_form) = -0.02039250562082225 y[1] (numeric) = -0.02039250562101594 absolute error = 1.936888149867144e-13 relative error = 9.498039063377474e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.539999999999945 y[1] (closed_form) = -0.01539572954126036 y[1] (numeric) = -0.0153957295414535 absolute error = 1.931354381978778e-13 relative error = 1.25447409088525e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.549999999999944 y[1] (closed_form) = -0.01039741390157408 y[1] (numeric) = -0.01039741390176666 absolute error = 1.925855308559932e-13 relative error = 1.852244535795939e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.559999999999943 y[1] (closed_form) = -0.005398058529162117 y[1] (numeric) = -0.005398058529354152 absolute error = 1.920347561523705e-13 relative error = 3.55747821397146e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.569999999999942 y[1] (closed_form) = -0.0003981633553956085 y[1] (numeric) = -0.0003981633555870927 absolute error = 1.91484252499291e-13 relative error = 4.809188236547672e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.579999999999941 y[1] (closed_form) = 0.004601771634374637 y[1] (numeric) = 0.004601771634183704 absolute error = 1.909332067451253e-13 relative error = 4.149123900866331e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.58999999999994 y[1] (closed_form) = 0.009601246450816243 y[1] (numeric) = 0.009601246450625859 absolute error = 1.903841667649786e-13 relative error = 1.982910945367861e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.599999999999939 y[1] (closed_form) = 0.01459976115061378 y[1] (numeric) = 0.01459976115042395 absolute error = 1.89830789976142e-13 relative error = 1.300232161456706e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.609999999999938 y[1] (closed_form) = 0.01959681588646268 y[1] (numeric) = 0.0195968158862734 absolute error = 1.892826173577333e-13 relative error = 9.658845521352691e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.619999999999937 y[1] (closed_form) = 0.02459191095705356 y[1] (numeric) = 0.02459191095686483 absolute error = 1.887309752923727e-13 relative error = 7.674514421508997e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.629999999999936 y[1] (closed_form) = 0.02958454685704193 y[1] (numeric) = 0.02958454685685375 absolute error = 1.881793332270121e-13 relative error = 6.360730625225725e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.639999999999934 y[1] (closed_form) = 0.0345742243269983 y[1] (numeric) = 0.03457422432681067 absolute error = 1.876276911616515e-13 relative error = 5.426808404639663e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.649999999999933 y[1] (closed_form) = 0.03956044440333373 y[1] (numeric) = 0.03956044440314666 absolute error = 1.870725796493389e-13 relative error = 4.728778517805893e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.659999999999932 y[1] (closed_form) = 0.04454270846819575 y[1] (numeric) = 0.04454270846800922 absolute error = 1.865313459248341e-13 relative error = 4.187696535293103e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.669999999999931 y[1] (closed_form) = 0.04952051829932976 y[1] (numeric) = 0.04952051829914377 absolute error = 1.859901122003293e-13 relative error = 3.755819175318418e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.67999999999993 y[1] (closed_form) = 0.05449337611990079 y[1] (numeric) = 0.05449337611971534 absolute error = 1.854488784758246e-13 relative error = 3.403145330320235e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.689999999999929 y[1] (closed_form) = 0.05946078464827084 y[1] (numeric) = 0.05946078464808594 absolute error = 1.84893766963512e-13 relative error = 3.109507687414765e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.699999999999928 y[1] (closed_form) = 0.06442224714772654 y[1] (numeric) = 0.06442224714754219 absolute error = 1.843525332390072e-13 relative error = 2.861628418770751e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.709999999999927 y[1] (closed_form) = 0.0693772674761525 y[1] (numeric) = 0.0693772674759687 absolute error = 1.837974217266947e-13 relative error = 2.649245616222527e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.719999999999926 y[1] (closed_form) = 0.07432535013564504 y[1] (numeric) = 0.07432535013546179 absolute error = 1.832423102143821e-13 relative error = 2.465407964845934e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.729999999999924 y[1] (closed_form) = 0.0792660003220616 y[1] (numeric) = 0.0792660003218789 absolute error = 1.827010764898773e-13 relative error = 2.30491100531822e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.739999999999923 y[1] (closed_form) = 0.08419872397450075 y[1] (numeric) = 0.08419872397431859 absolute error = 1.821598427653726e-13 relative error = 2.163451346608756e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.749999999999922 y[1] (closed_form) = 0.08912302782470781 y[1] (numeric) = 0.08912302782452618 absolute error = 1.816324868286756e-13 relative error = 2.037997263579516e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.759999999999921 y[1] (closed_form) = 0.09403841944640134 y[1] (numeric) = 0.09403841944622027 absolute error = 1.81077375316363e-13 relative error = 1.925568043171662e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.76999999999992 y[1] (closed_form) = 0.09894440730451533 y[1] (numeric) = 0.09894440730433479 absolute error = 1.805361415918583e-13 relative error = 1.824621992390463e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.779999999999919 y[1] (closed_form) = 0.1038405008043523 y[1] (numeric) = 0.1038405008041723 absolute error = 1.800087856551613e-13 relative error = 1.733512302625727e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.789999999999918 y[1] (closed_form) = 0.1087262103406422 y[1] (numeric) = 0.1087262103404628 absolute error = 1.794675519306566e-13 relative error = 1.650637425588363e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.799999999999917 y[1] (closed_form) = 0.113601047346503 y[1] (numeric) = 0.1136010473463241 absolute error = 1.78912440418344e-13 relative error = 1.574918934265014e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.809999999999916 y[1] (closed_form) = 0.1184645243422964 y[1] (numeric) = 0.118464524342118 absolute error = 1.78385084481647e-13 relative error = 1.505810161075848e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.819999999999915 y[1] (closed_form) = 0.1233161549843756 y[1] (numeric) = 0.1233161549841977 absolute error = 1.778577285449501e-13 relative error = 1.442290578776844e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.829999999999913 y[1] (closed_form) = 0.1281554541137195 y[1] (numeric) = 0.1281554541135422 absolute error = 1.773303726082531e-13 relative error = 1.38371303690983e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.839999999999912 y[1] (closed_form) = 0.1329819378044479 y[1] (numeric) = 0.1329819378042711 absolute error = 1.768307722471718e-13 relative error = 1.329735264553028e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.849999999999911 y[1] (closed_form) = 0.1377951234122138 y[1] (numeric) = 0.1377951234120375 absolute error = 1.763311718860905e-13 relative error = 1.279661917777716e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.85999999999991 y[1] (closed_form) = 0.1425945296224673 y[1] (numeric) = 0.1425945296222915 absolute error = 1.758038159493935e-13 relative error = 1.232893130015934e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.869999999999909 y[1] (closed_form) = 0.147379676498587 y[1] (numeric) = 0.1473796764984117 absolute error = 1.752764600126966e-13 relative error = 1.189285145529391e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.879999999999908 y[1] (closed_form) = 0.1521500855298728 y[1] (numeric) = 0.152150085529698 absolute error = 1.747768596516153e-13 relative error = 1.148713515624676e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.889999999999907 y[1] (closed_form) = 0.156905279679397 y[1] (numeric) = 0.1569052796792227 absolute error = 1.743050148661496e-13 relative error = 1.110893242230633e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.899999999999906 y[1] (closed_form) = 0.1616447834317071 y[1] (numeric) = 0.1616447834315333 absolute error = 1.738331700806839e-13 relative error = 1.075402288834927e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.909999999999905 y[1] (closed_form) = 0.1663681228403777 y[1] (numeric) = 0.1663681228402043 absolute error = 1.733335697196026e-13 relative error = 1.041867677294814e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.919999999999904 y[1] (closed_form) = 0.1710748255754038 y[1] (numeric) = 0.171074825575231 absolute error = 1.727507026316744e-13 relative error = 1.009796164050636e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.929999999999902 y[1] (closed_form) = 0.1757644209704343 y[1] (numeric) = 0.175764420970262 absolute error = 1.72251102270593e-13 relative error = 9.800112065886631e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.939999999999901 y[1] (closed_form) = 0.1804364400698376 y[1] (numeric) = 0.1804364400696659 absolute error = 1.717237463338961e-13 relative error = 9.517132252633155e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9499999999999 y[1] (closed_form) = 0.1850904156755971 y[1] (numeric) = 0.1850904156754259 absolute error = 1.712241459728148e-13 relative error = 9.250838048411681e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999899 y[1] (closed_form) = 0.1897258823940306 y[1] (numeric) = 0.1897258823938599 absolute error = 1.706967900361178e-13 relative error = 8.997021802307796e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999898 y[1] (closed_form) = 0.1943423766823291 y[1] (numeric) = 0.1943423766821589 absolute error = 1.701971896750365e-13 relative error = 8.757595362396943e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999897 y[1] (closed_form) = 0.1989394368949107 y[1] (numeric) = 0.198939436894741 absolute error = 1.696975893139552e-13 relative error = 8.530113081781644e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999896 y[1] (closed_form) = 0.2035166033295852 y[1] (numeric) = 0.203516603329416 absolute error = 1.691979889528739e-13 relative error = 8.313719184810979e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999895 y[1] (closed_form) = 0.2080734182735234 y[1] (numeric) = 0.2080734182733547 absolute error = 1.686983885917925e-13 relative error = 8.107637678640417e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.009999999999894 y[1] (closed_form) = 0.2126094260490281 y[1] (numeric) = 0.2126094260488599 absolute error = 1.681710326550956e-13 relative error = 7.909857797947071e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999893 y[1] (closed_form) = 0.2171241730591018 y[1] (numeric) = 0.2171241730589341 absolute error = 1.676991878696299e-13 relative error = 7.72365349776055e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999891 y[1] (closed_form) = 0.2216172078328059 y[1] (numeric) = 0.2216172078326387 absolute error = 1.671718319329329e-13 relative error = 7.543269476576565e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.03999999999989 y[1] (closed_form) = 0.2260880810704071 y[1] (numeric) = 0.2260880810702404 absolute error = 1.666722315718516e-13 relative error = 7.372004343738382e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999889 y[1] (closed_form) = 0.2305363456883073 y[1] (numeric) = 0.2305363456881411 absolute error = 1.662003867863859e-13 relative error = 7.209292152617631e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999888 y[1] (closed_form) = 0.2349615568637517 y[1] (numeric) = 0.234961556863586 absolute error = 1.657562975765359e-13 relative error = 7.054613520145074e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999887 y[1] (closed_form) = 0.2393632720793104 y[1] (numeric) = 0.2393632720791452 absolute error = 1.652289416398389e-13 relative error = 6.902852731102879e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.079999999999886 y[1] (closed_form) = 0.2437410511671299 y[1] (numeric) = 0.2437410511669651 absolute error = 1.647570968543732e-13 relative error = 6.759513675084693e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.089999999999885 y[1] (closed_form) = 0.2480944563529495 y[1] (numeric) = 0.2480944563527852 absolute error = 1.643130076445232e-13 relative error = 6.623001983194846e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.099999999999884 y[1] (closed_form) = 0.2524230522998785 y[1] (numeric) = 0.2524230522997148 absolute error = 1.637578961322106e-13 relative error = 6.487438236729117e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999883 y[1] (closed_form) = 0.2567264061519294 y[1] (numeric) = 0.2567264061517662 absolute error = 1.632582957711293e-13 relative error = 6.359232702946569e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999882 y[1] (closed_form) = 0.2610040875773031 y[1] (numeric) = 0.2610040875771403 absolute error = 1.628142065612792e-13 relative error = 6.237994510835298e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.12999999999988 y[1] (closed_form) = 0.2652556688114218 y[1] (numeric) = 0.2652556688112594 absolute error = 1.623701173514291e-13 relative error = 6.121268513468149e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.139999999999879 y[1] (closed_form) = 0.2694807246997049 y[1] (numeric) = 0.2694807246995429 absolute error = 1.619815392928103e-13 relative error = 6.010876639630312e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.149999999999878 y[1] (closed_form) = 0.2736788327400846 y[1] (numeric) = 0.2736788327399231 absolute error = 1.615374500829603e-13 relative error = 5.902445887598985e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.159999999999877 y[1] (closed_form) = 0.2778495731252552 y[1] (numeric) = 0.2778495731250941 absolute error = 1.611488720243415e-13 relative error = 5.799860342117394e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.169999999999876 y[1] (closed_form) = 0.2819925287846539 y[1] (numeric) = 0.2819925287844931 absolute error = 1.607602939657227e-13 relative error = 5.700870681169312e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.179999999999875 y[1] (closed_form) = 0.2861072854261671 y[1] (numeric) = 0.2861072854260067 absolute error = 1.603717159071039e-13 relative error = 5.605299972289221e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.189999999999874 y[1] (closed_form) = 0.2901934315775596 y[1] (numeric) = 0.2901934315773997 absolute error = 1.598166043947913e-13 relative error = 5.50724403119639e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.199999999999873 y[1] (closed_form) = 0.2942505586276214 y[1] (numeric) = 0.294250558627462 absolute error = 1.594280263361725e-13 relative error = 5.41810445763439e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.209999999999872 y[1] (closed_form) = 0.2982782608670285 y[1] (numeric) = 0.2982782608668694 absolute error = 1.590949594287849e-13 relative error = 5.333776553689542e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.219999999999871 y[1] (closed_form) = 0.3022761355289132 y[1] (numeric) = 0.3022761355287545 absolute error = 1.586508702189349e-13 relative error = 5.248541038191209e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.229999999999869 y[1] (closed_form) = 0.306243782829141 y[1] (numeric) = 0.3062437828289827 absolute error = 1.582622921603161e-13 relative error = 5.167853227851926e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.239999999999868 y[1] (closed_form) = 0.3101808060062882 y[1] (numeric) = 0.3101808060061304 absolute error = 1.577626917992347e-13 relative error = 5.086152616291689e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.249999999999867 y[1] (closed_form) = 0.3140868113613179 y[1] (numeric) = 0.3140868113611607 absolute error = 1.572075802869222e-13 relative error = 5.005227045527689e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.259999999999866 y[1] (closed_form) = 0.3179614082969496 y[1] (numeric) = 0.3179614082967928 absolute error = 1.568745133795346e-13 relative error = 4.933759547102861e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.269999999999865 y[1] (closed_form) = 0.3218042093567186 y[1] (numeric) = 0.3218042093565622 absolute error = 1.563749130184533e-13 relative error = 4.859318444934086e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.279999999999864 y[1] (closed_form) = 0.3256148302637212 y[1] (numeric) = 0.3256148302635652 absolute error = 1.560418461110658e-13 relative error = 4.792221717440962e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.289999999999863 y[1] (closed_form) = 0.3293928899590423 y[1] (numeric) = 0.3293928899588865 absolute error = 1.557087792036782e-13 relative error = 4.727144511924332e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.299999999999862 y[1] (closed_form) = 0.3331380106398605 y[1] (numeric) = 0.3331380106397053 absolute error = 1.552646899938281e-13 relative error = 4.660671704667088e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.309999999999861 y[1] (closed_form) = 0.3368498177972289 y[1] (numeric) = 0.3368498177970741 absolute error = 1.548206007839781e-13 relative error = 4.596131350059816e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.31999999999986 y[1] (closed_form) = 0.3405279402535248 y[1] (numeric) = 0.3405279402533705 absolute error = 1.54376511574128e-13 relative error = 4.533446255810724e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.329999999999858 y[1] (closed_form) = 0.3441720101995678 y[1] (numeric) = 0.3441720101994137 absolute error = 1.540989558179717e-13 relative error = 4.477381984915554e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.339999999999857 y[1] (closed_form) = 0.3477816632313998 y[1] (numeric) = 0.3477816632312462 absolute error = 1.536548666081217e-13 relative error = 4.41814169213073e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.349999999999856 y[1] (closed_form) = 0.3513565383867258 y[1] (numeric) = 0.3513565383865726 absolute error = 1.532107773982716e-13 relative error = 4.360550058403578e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.359999999999855 y[1] (closed_form) = 0.3548962781810092 y[1] (numeric) = 0.3548962781808565 absolute error = 1.527666881884215e-13 relative error = 4.304544667850964e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.369999999999854 y[1] (closed_form) = 0.3584005286432205 y[1] (numeric) = 0.3584005286430681 absolute error = 1.52433621281034e-13 relative error = 4.253163963180929e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.379999999999853 y[1] (closed_form) = 0.3618689393512336 y[1] (numeric) = 0.3618689393510816 absolute error = 1.520450432224152e-13 relative error = 4.201660509879759e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.389999999999852 y[1] (closed_form) = 0.365301163466868 y[1] (numeric) = 0.3653011634667163 absolute error = 1.516564651637964e-13 relative error = 4.151546185194433e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.399999999999851 y[1] (closed_form) = 0.3686968577705723 y[1] (numeric) = 0.368696857770421 absolute error = 1.512678871051776e-13 relative error = 4.102771258205474e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.40999999999985 y[1] (closed_form) = 0.372055682695746 y[1] (numeric) = 0.3720556826955951 absolute error = 1.508793090465588e-13 relative error = 4.055288389989263e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.419999999999848 y[1] (closed_form) = 0.3753773023626955 y[1] (numeric) = 0.3753773023625449 absolute error = 1.505462421391712e-13 relative error = 4.010531302548258e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.429999999999847 y[1] (closed_form) = 0.378661384612222 y[1] (numeric) = 0.3786613846120718 absolute error = 1.501576640805524e-13 relative error = 3.965486584652018e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.439999999999846 y[1] (closed_form) = 0.3819076010388375 y[1] (numeric) = 0.3819076010386876 absolute error = 1.498245971731649e-13 relative error = 3.923058791331276e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.449999999999845 y[1] (closed_form) = 0.3851156270236043 y[1] (numeric) = 0.3851156270234548 absolute error = 1.494915302657773e-13 relative error = 3.881731089988067e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.459999999999844 y[1] (closed_form) = 0.3882851417665975 y[1] (numeric) = 0.3882851417664482 absolute error = 1.492694856608523e-13 relative error = 3.84432649113779e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.469999999999843 y[1] (closed_form) = 0.3914158283189837 y[1] (numeric) = 0.3914158283188348 absolute error = 1.48991929904696e-13 relative error = 3.806487094417532e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.479999999999842 y[1] (closed_form) = 0.394507373614717 y[1] (numeric) = 0.3945073736145683 absolute error = 1.487143741485397e-13 relative error = 3.76962216918604e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.489999999999841 y[1] (closed_form) = 0.3975594685018438 y[1] (numeric) = 0.3975594685016953 absolute error = 1.484923295436147e-13 relative error = 3.735097295083691e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.49999999999984 y[1] (closed_form) = 0.4005718077734189 y[1] (numeric) = 0.4005718077732707 absolute error = 1.482147737874584e-13 relative error = 3.70008000840876e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.509999999999839 y[1] (closed_form) = 0.4035440901980253 y[1] (numeric) = 0.4035440901978775 absolute error = 1.478817068800709e-13 relative error = 3.664573722477339e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.519999999999837 y[1] (closed_form) = 0.4064760185498977 y[1] (numeric) = 0.4064760185497501 absolute error = 1.476041511239146e-13 relative error = 3.631312657767414e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.529999999999836 y[1] (closed_form) = 0.4093672996386439 y[1] (numeric) = 0.4093672996384966 absolute error = 1.473265953677583e-13 relative error = 3.598885291956788e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.539999999999835 y[1] (closed_form) = 0.4122176443385645 y[1] (numeric) = 0.4122176443384175 absolute error = 1.47049039611602e-13 relative error = 3.56726699187158e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.549999999999834 y[1] (closed_form) = 0.4150267676175649 y[1] (numeric) = 0.4150267676174181 absolute error = 1.467159727042144e-13 relative error = 3.535096628741039e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.559999999999833 y[1] (closed_form) = 0.417794388565658 y[1] (numeric) = 0.4177943885655115 absolute error = 1.464939280992894e-13 relative error = 3.506364185556009e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.569999999999832 y[1] (closed_form) = 0.4205202304230553 y[1] (numeric) = 0.4205202304229091 absolute error = 1.462163723431331e-13 relative error = 3.477035390093725e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.579999999999831 y[1] (closed_form) = 0.4232040206078427 y[1] (numeric) = 0.4232040206076968 absolute error = 1.459388165869768e-13 relative error = 3.448426987469701e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.58999999999983 y[1] (closed_form) = 0.4258454907432382 y[1] (numeric) = 0.4258454907430925 absolute error = 1.457722831332831e-13 relative error = 3.423126140865393e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.599999999999829 y[1] (closed_form) = 0.4284443766844295 y[1] (numeric) = 0.428444376684284 absolute error = 1.454392162258955e-13 relative error = 3.394588052512093e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.609999999999828 y[1] (closed_form) = 0.4310004185449881 y[1] (numeric) = 0.4310004185448428 absolute error = 1.452171716209705e-13 relative error = 3.369304654301922e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.619999999999826 y[1] (closed_form) = 0.433513360722858 y[1] (numeric) = 0.433513360722713 absolute error = 1.449396158648142e-13 relative error = 3.343371369757461e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.629999999999825 y[1] (closed_form) = 0.4359829519259155 y[1] (numeric) = 0.4359829519257709 absolute error = 1.446065489574266e-13 relative error = 3.316793657151965e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.639999999999824 y[1] (closed_form) = 0.4384089451970984 y[1] (numeric) = 0.438408945196954 absolute error = 1.444400155037329e-13 relative error = 3.294641158354924e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.649999999999823 y[1] (closed_form) = 0.4407910979391012 y[1] (numeric) = 0.440791097938957 absolute error = 1.441624597475766e-13 relative error = 3.270539274082476e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.659999999999822 y[1] (closed_form) = 0.4431291719386348 y[1] (numeric) = 0.4431291719384908 absolute error = 1.439404151426515e-13 relative error = 3.248272157595272e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.669999999999821 y[1] (closed_form) = 0.4454229333902476 y[1] (numeric) = 0.4454229333901039 absolute error = 1.437183705377265e-13 relative error = 3.226559742756011e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.67999999999982 y[1] (closed_form) = 0.4476721529197059 y[1] (numeric) = 0.4476721529195624 absolute error = 1.435518370840327e-13 relative error = 3.206628693515812e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.689999999999819 y[1] (closed_form) = 0.4498766056069312 y[1] (numeric) = 0.4498766056067878 absolute error = 1.433297924791077e-13 relative error = 3.185980126389116e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.699999999999818 y[1] (closed_form) = 0.4520360710084916 y[1] (numeric) = 0.4520360710083486 absolute error = 1.430522367229514e-13 relative error = 3.164619947337436e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.709999999999817 y[1] (closed_form) = 0.4541503331796467 y[1] (numeric) = 0.454150333179504 absolute error = 1.427191698155639e-13 relative error = 3.14255345397069e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.719999999999815 y[1] (closed_form) = 0.4562191806959412 y[1] (numeric) = 0.4562191806957986 absolute error = 1.425526363618701e-13 relative error = 3.124652412562152e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.729999999999814 y[1] (closed_form) = 0.4582424066743475 y[1] (numeric) = 0.4582424066742052 absolute error = 1.423305917569451e-13 relative error = 3.106010916577895e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.739999999999813 y[1] (closed_form) = 0.4602198087939538 y[1] (numeric) = 0.4602198087938116 absolute error = 1.422195694544826e-13 relative error = 3.090253108121994e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.749999999999812 y[1] (closed_form) = 0.4621511893161959 y[1] (numeric) = 0.4621511893160539 absolute error = 1.420530360007888e-13 relative error = 3.073735160369749e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.759999999999811 y[1] (closed_form) = 0.4640363551046311 y[1] (numeric) = 0.4640363551044892 absolute error = 1.419420136983263e-13 relative error = 3.058855456838529e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.76999999999981 y[1] (closed_form) = 0.4658751176442516 y[1] (numeric) = 0.4658751176441098 absolute error = 1.418309913958637e-13 relative error = 3.044399368505612e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.779999999999809 y[1] (closed_form) = 0.4676672930603356 y[1] (numeric) = 0.4676672930601939 absolute error = 1.416089467909387e-13 relative error = 3.027984827937694e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.789999999999808 y[1] (closed_form) = 0.469412702136835 y[1] (numeric) = 0.4694127021366936 absolute error = 1.414424133372449e-13 relative error = 3.01317822660909e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.799999999999807 y[1] (closed_form) = 0.4711111703342967 y[1] (numeric) = 0.4711111703341554 absolute error = 1.412758798835512e-13 relative error = 2.9987800922509e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.809999999999806 y[1] (closed_form) = 0.4727625278073163 y[1] (numeric) = 0.4727625278071752 absolute error = 1.411093464298574e-13 relative error = 2.984782805953887e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.819999999999804 y[1] (closed_form) = 0.4743666094215226 y[1] (numeric) = 0.4743666094213817 absolute error = 1.409428129761636e-13 relative error = 2.971179045423108e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.829999999999803 y[1] (closed_form) = 0.475923254770091 y[1] (numeric) = 0.4759232547699503 absolute error = 1.407207683712386e-13 relative error = 2.956795385827868e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.839999999999802 y[1] (closed_form) = 0.4774323081897838 y[1] (numeric) = 0.4774323081896433 absolute error = 1.404987237663136e-13 relative error = 2.942798829409425e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.849999999999801 y[1] (closed_form) = 0.4788936187765166 y[1] (numeric) = 0.4788936187763762 absolute error = 1.404432126150823e-13 relative error = 2.932659929232057e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.8599999999998 y[1] (closed_form) = 0.4803070404004484 y[1] (numeric) = 0.480307040400308 absolute error = 1.40387701463851e-13 relative error = 2.922874112917542e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.869999999999799 y[1] (closed_form) = 0.4816724317205947 y[1] (numeric) = 0.4816724317204544 absolute error = 1.402211680101573e-13 relative error = 2.911131274614775e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.879999999999798 y[1] (closed_form) = 0.4829896561989612 y[1] (numeric) = 0.4829896561988211 absolute error = 1.40165656858926e-13 relative error = 2.902042622651666e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.889999999999797 y[1] (closed_form) = 0.484258582114198 y[1] (numeric) = 0.4842585821140579 absolute error = 1.400546345564635e-13 relative error = 2.892145637254515e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.899999999999796 y[1] (closed_form) = 0.4854790825747708 y[1] (numeric) = 0.4854790825746308 absolute error = 1.39943612254001e-13 relative error = 2.882587886419342e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.909999999999795 y[1] (closed_form) = 0.4866510355316507 y[1] (numeric) = 0.4866510355315109 absolute error = 1.398325899515385e-13 relative error = 2.873364685205608e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.919999999999793 y[1] (closed_form) = 0.4877743237905187 y[1] (numeric) = 0.487774323790379 absolute error = 1.396660564978447e-13 relative error = 2.863333506620291e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.929999999999792 y[1] (closed_form) = 0.4888488350234848 y[1] (numeric) = 0.4888488350233453 absolute error = 1.394995230441509e-13 relative error = 2.853633128479262e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.939999999999791 y[1] (closed_form) = 0.4898744617803212 y[1] (numeric) = 0.4898744617801819 absolute error = 1.393329895904571e-13 relative error = 2.844259100261884e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.94999999999979 y[1] (closed_form) = 0.490851101499207 y[1] (numeric) = 0.4908511014990679 absolute error = 1.391109449855321e-13 relative error = 2.834076251650356e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.959999999999789 y[1] (closed_form) = 0.4917786565169842 y[1] (numeric) = 0.4917786565168451 absolute error = 1.390554338343009e-13 relative error = 2.827602052093093e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.969999999999788 y[1] (closed_form) = 0.4926570340789238 y[1] (numeric) = 0.4926570340787848 absolute error = 1.389444115318383e-13 relative error = 2.820307068011525e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.979999999999787 y[1] (closed_form) = 0.4934861463480016 y[1] (numeric) = 0.4934861463478628 absolute error = 1.388889003806071e-13 relative error = 2.814443757103243e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.989999999999786 y[1] (closed_form) = 0.4942659104136818 y[1] (numeric) = 0.4942659104135431 absolute error = 1.387778780781446e-13 relative error = 2.807757426806812e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.999999999999785 y[1] (closed_form) = 0.4949962483002076 y[1] (numeric) = 0.4949962483000688 absolute error = 1.387223669269133e-13 relative error = 2.802493299762958e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.009999999999784 y[1] (closed_form) = 0.4956770869743987 y[1] (numeric) = 0.4956770869742601 absolute error = 1.386668557756821e-13 relative error = 2.797524021578267e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.019999999999782 y[1] (closed_form) = 0.4963083583529553 y[1] (numeric) = 0.4963083583528168 absolute error = 1.385558334732195e-13 relative error = 2.791728794030988e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.029999999999781 y[1] (closed_form) = 0.4968899993092656 y[1] (numeric) = 0.4968899993091271 absolute error = 1.385003223219883e-13 relative error = 2.787343728280297e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.03999999999978 y[1] (closed_form) = 0.4974219516797186 y[1] (numeric) = 0.4974219516795803 absolute error = 1.383337888682945e-13 relative error = 2.781014959254658e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.049999999999779 y[1] (closed_form) = 0.4979041622695205 y[1] (numeric) = 0.4979041622693822 absolute error = 1.383337888682945e-13 relative error = 2.778321599838586e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.059999999999778 y[1] (closed_form) = 0.4983365828580142 y[1] (numeric) = 0.4983365828578759 absolute error = 1.383337888682945e-13 relative error = 2.775910772493066e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.069999999999777 y[1] (closed_form) = 0.4987191702035013 y[1] (numeric) = 0.498719170203363 absolute error = 1.38222766565832e-13 relative error = 2.771555112056962e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.079999999999776 y[1] (closed_form) = 0.4990518860475659 y[1] (numeric) = 0.4990518860474277 absolute error = 1.38222766565832e-13 relative error = 2.769707327639628e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.089999999999775 y[1] (closed_form) = 0.499334697118901 y[1] (numeric) = 0.4993346971187628 absolute error = 1.38222766565832e-13 relative error = 2.768138632531649e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.099999999999774 y[1] (closed_form) = 0.499567575136635 y[1] (numeric) = 0.4995675751364969 absolute error = 1.381672554146007e-13 relative error = 2.765737055228436e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.109999999999773 y[1] (closed_form) = 0.4997504968131604 y[1] (numeric) = 0.4997504968130222 absolute error = 1.381672554146007e-13 relative error = 2.764724723550535e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.119999999999771 y[1] (closed_form) = 0.4998834438564617 y[1] (numeric) = 0.4998834438563236 absolute error = 1.381117442633695e-13 relative error = 2.762878946297476e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.12999999999977 y[1] (closed_form) = 0.4999664029719456 y[1] (numeric) = 0.4999664029718076 absolute error = 1.380562331121382e-13 relative error = 2.761310205875672e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.139999999999769 y[1] (closed_form) = 0.4999993658637696 y[1] (numeric) = 0.4999993658636315 absolute error = 1.380562331121382e-13 relative error = 2.761128164105576e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.149999999999768 y[1] (closed_form) = 0.4999823292356719 y[1] (numeric) = 0.4999823292355338 absolute error = 1.381117442633695e-13 relative error = 2.762332510320961e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.159999999999767 y[1] (closed_form) = 0.4999152947913013 y[1] (numeric) = 0.4999152947911631 absolute error = 1.381672554146007e-13 relative error = 2.763813327061361e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.169999999999766 y[1] (closed_form) = 0.4997982692340462 y[1] (numeric) = 0.4997982692339081 absolute error = 1.381672554146007e-13 relative error = 2.764460461744808e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.179999999999765 y[1] (closed_form) = 0.4996312642663649 y[1] (numeric) = 0.4996312642662268 absolute error = 1.381672554146007e-13 relative error = 2.765384500457133e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.189999999999764 y[1] (closed_form) = 0.499414296588615 y[1] (numeric) = 0.4994142965884769 absolute error = 1.381672554146007e-13 relative error = 2.766585905897963e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.199999999999763 y[1] (closed_form) = 0.4991473878973835 y[1] (numeric) = 0.4991473878972454 absolute error = 1.381117442633695e-13 relative error = 2.766953160771884e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.209999999999761 y[1] (closed_form) = 0.498830564883317 y[1] (numeric) = 0.4988305648831789 absolute error = 1.380562331121382e-13 relative error = 2.767597714154332e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.21999999999976 y[1] (closed_form) = 0.4984638592284528 y[1] (numeric) = 0.4984638592283148 absolute error = 1.380562331121382e-13 relative error = 2.769633756915266e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.229999999999759 y[1] (closed_form) = 0.498047307603051 y[1] (numeric) = 0.498047307602913 absolute error = 1.380562331121382e-13 relative error = 2.771950194381344e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.239999999999758 y[1] (closed_form) = 0.4975809516619271 y[1] (numeric) = 0.497580951661789 absolute error = 1.381117442633695e-13 relative error = 2.775663815145544e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.249999999999757 y[1] (closed_form) = 0.4970648380402862 y[1] (numeric) = 0.4970648380401481 absolute error = 1.381672554146007e-13 relative error = 2.779662628306904e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.259999999999756 y[1] (closed_form) = 0.4964990183490607 y[1] (numeric) = 0.4964990183489226 absolute error = 1.381672554146007e-13 relative error = 2.782830384519775e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.269999999999755 y[1] (closed_form) = 0.4958835491697482 y[1] (numeric) = 0.49588354916961 absolute error = 1.38222766565832e-13 relative error = 2.787403752297423e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.279999999999754 y[1] (closed_form) = 0.4952184920487535 y[1] (numeric) = 0.4952184920486152 absolute error = 1.382782777170632e-13 relative error = 2.792268058185718e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.289999999999753 y[1] (closed_form) = 0.4945039134912347 y[1] (numeric) = 0.4945039134910963 absolute error = 1.38444811170757e-13 relative error = 2.799670688009853e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.299999999999752 y[1] (closed_form) = 0.493739884954452 y[1] (numeric) = 0.4937398849543135 absolute error = 1.385003223219883e-13 relative error = 2.805127285488898e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.30999999999975 y[1] (closed_form) = 0.4929264828406225 y[1] (numeric) = 0.4929264828404838 absolute error = 1.386113446244508e-13 relative error = 2.812008472859185e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.319999999999749 y[1] (closed_form) = 0.4920637884892795 y[1] (numeric) = 0.4920637884891408 absolute error = 1.386668557756821e-13 relative error = 2.818066661670292e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.329999999999748 y[1] (closed_form) = 0.4911518881691394 y[1] (numeric) = 0.4911518881690007 absolute error = 1.386668557756821e-13 relative error = 2.823298843308711e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.339999999999747 y[1] (closed_form) = 0.4901908730694743 y[1] (numeric) = 0.4901908730693355 absolute error = 1.388333892293758e-13 relative error = 2.832231215567718e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.349999999999746 y[1] (closed_form) = 0.4891808392909933 y[1] (numeric) = 0.4891808392908544 absolute error = 1.389444115318383e-13 relative error = 2.840348606728362e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.359999999999745 y[1] (closed_form) = 0.4881218878362326 y[1] (numeric) = 0.4881218878360936 absolute error = 1.389999226830696e-13 relative error = 2.847647813935047e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.369999999999744 y[1] (closed_form) = 0.4870141245994551 y[1] (numeric) = 0.487014124599316 absolute error = 1.391109449855321e-13 relative error = 2.85640473158646e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.379999999999743 y[1] (closed_form) = 0.4858576603560614 y[1] (numeric) = 0.4858576603559222 absolute error = 1.392219672879946e-13 relative error = 2.86548877681512e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.389999999999742 y[1] (closed_form) = 0.4846526107515122 y[1] (numeric) = 0.4846526107513729 absolute error = 1.392774784392259e-13 relative error = 2.873758963626739e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.399999999999741 y[1] (closed_form) = 0.4833990962897636 y[1] (numeric) = 0.4833990962896243 absolute error = 1.393329895904571e-13 relative error = 2.88235933124163e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.409999999999739 y[1] (closed_form) = 0.4820972423212174 y[1] (numeric) = 0.4820972423210778 absolute error = 1.395550341953822e-13 relative error = 2.894748651194271e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.419999999999738 y[1] (closed_form) = 0.4807471790301854 y[1] (numeric) = 0.4807471790300457 absolute error = 1.39721567649076e-13 relative error = 2.906341914079189e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.429999999999737 y[1] (closed_form) = 0.4793490414218717 y[1] (numeric) = 0.4793490414217317 absolute error = 1.39943612254001e-13 relative error = 2.919451175679678e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.439999999999736 y[1] (closed_form) = 0.477902969308872 y[1] (numeric) = 0.4779029693087319 absolute error = 1.401101457076948e-13 relative error = 2.931769725354868e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.449999999999735 y[1] (closed_form) = 0.4764091072971926 y[1] (numeric) = 0.4764091072970524 absolute error = 1.402211680101573e-13 relative error = 2.943293187774531e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.459999999999734 y[1] (closed_form) = 0.4748676047717897 y[1] (numeric) = 0.4748676047716494 absolute error = 1.40387701463851e-13 relative error = 2.95635457237219e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.469999999999733 y[1] (closed_form) = 0.4732786158816314 y[1] (numeric) = 0.4732786158814908 absolute error = 1.406097460687761e-13 relative error = 2.970971883165392e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.479999999999732 y[1] (closed_form) = 0.4716422995242824 y[1] (numeric) = 0.4716422995241416 absolute error = 1.408317906737011e-13 relative error = 2.985987279252726e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.489999999999731 y[1] (closed_form) = 0.469958819330015 y[1] (numeric) = 0.469958819329874 absolute error = 1.409428129761636e-13 relative error = 2.999046026566651e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.49999999999973 y[1] (closed_form) = 0.4682283436454456 y[1] (numeric) = 0.4682283436453045 absolute error = 1.411093464298574e-13 relative error = 3.013686555820913e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.509999999999728 y[1] (closed_form) = 0.4664510455167007 y[1] (numeric) = 0.4664510455165593 absolute error = 1.413869021860137e-13 relative error = 3.03111984730135e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.519999999999727 y[1] (closed_form) = 0.464627102672112 y[1] (numeric) = 0.4646271026719704 absolute error = 1.416089467909387e-13 relative error = 3.047797814129503e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.529999999999726 y[1] (closed_form) = 0.4627566975044441 y[1] (numeric) = 0.4627566975043022 absolute error = 1.41886502547095e-13 relative error = 3.066114511410878e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.539999999999725 y[1] (closed_form) = 0.460840017052655 y[1] (numeric) = 0.4608400170525129 absolute error = 1.420530360007888e-13 relative error = 3.082480486597109e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.549999999999724 y[1] (closed_form) = 0.4588772529831928 y[1] (numeric) = 0.4588772529830504 absolute error = 1.423305917569451e-13 relative error = 3.101713820670867e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.559999999999723 y[1] (closed_form) = 0.4568686015708286 y[1] (numeric) = 0.4568686015706861 absolute error = 1.425526363618701e-13 relative error = 3.120210841185812e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.569999999999722 y[1] (closed_form) = 0.45481426367903 y[1] (numeric) = 0.4548142636788872 absolute error = 1.427746809667951e-13 relative error = 3.139186528845401e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.579999999999721 y[1] (closed_form) = 0.4527144447398741 y[1] (numeric) = 0.4527144447397312 absolute error = 1.429412144204889e-13 relative error = 3.157425526870955e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.58999999999972 y[1] (closed_form) = 0.450569354733505 y[1] (numeric) = 0.4505693547333618 absolute error = 1.432187701766452e-13 relative error = 3.178617646141375e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.599999999999719 y[1] (closed_form) = 0.4483792081671358 y[1] (numeric) = 0.4483792081669923 absolute error = 1.434408147815702e-13 relative error = 3.199096036765868e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.609999999999717 y[1] (closed_form) = 0.4461442240535979 y[1] (numeric) = 0.4461442240534542 absolute error = 1.437183705377265e-13 relative error = 3.221343296387958e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.619999999999716 y[1] (closed_form) = 0.4438646258894404 y[1] (numeric) = 0.4438646258892964 absolute error = 1.439404151426515e-13 relative error = 3.242889988230439e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.629999999999715 y[1] (closed_form) = 0.4415406416325798 y[1] (numeric) = 0.4415406416324356 absolute error = 1.442179708988078e-13 relative error = 3.26624453788823e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.639999999999714 y[1] (closed_form) = 0.4391725036795053 y[1] (numeric) = 0.4391725036793609 absolute error = 1.444400155037329e-13 relative error = 3.288912996455278e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.649999999999713 y[1] (closed_form) = 0.4367604488420387 y[1] (numeric) = 0.436760448841894 absolute error = 1.447175712598892e-13 relative error = 3.313431233152445e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.659999999999712 y[1] (closed_form) = 0.4343047183236539 y[1] (numeric) = 0.4343047183235089 absolute error = 1.449951270160454e-13 relative error = 3.338557489674605e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.669999999999711 y[1] (closed_form) = 0.4318055576953559 y[1] (numeric) = 0.4318055576952108 absolute error = 1.451616604697392e-13 relative error = 3.361736732720623e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.67999999999971 y[1] (closed_form) = 0.4292632168711253 y[1] (numeric) = 0.4292632168709799 absolute error = 1.453837050746642e-13 relative error = 3.386819540103102e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.689999999999709 y[1] (closed_form) = 0.4266779500829257 y[1] (numeric) = 0.42667795008278 absolute error = 1.456612608308205e-13 relative error = 3.413845519847252e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.699999999999708 y[1] (closed_form) = 0.4240500158552816 y[1] (numeric) = 0.4240500158551357 absolute error = 1.458833054357456e-13 relative error = 3.440238179015471e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.709999999999706 y[1] (closed_form) = 0.4213796769794257 y[1] (numeric) = 0.4213796769792796 absolute error = 1.461053500406706e-13 relative error = 3.467308890832064e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.719999999999705 y[1] (closed_form) = 0.4186672004870206 y[1] (numeric) = 0.4186672004868742 absolute error = 1.464384169480581e-13 relative error = 3.497728429112946e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.729999999999704 y[1] (closed_form) = 0.4159128576234549 y[1] (numeric) = 0.4159128576233082 absolute error = 1.467159727042144e-13 relative error = 3.527565210235534e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.739999999999703 y[1] (closed_form) = 0.4131169238207197 y[1] (numeric) = 0.4131169238205729 absolute error = 1.468825061579082e-13 relative error = 3.555470562654819e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.749999999999702 y[1] (closed_form) = 0.4102796786698655 y[1] (numeric) = 0.4102796786697183 absolute error = 1.472155730652958e-13 relative error = 3.588176083752708e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.759999999999701 y[1] (closed_form) = 0.4074014058930429 y[1] (numeric) = 0.4074014058928954 absolute error = 1.47493128821452e-13 relative error = 3.620339220433966e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.7699999999997 y[1] (closed_form) = 0.404482393315131 y[1] (numeric) = 0.4044823933149832 absolute error = 1.478261957288396e-13 relative error = 3.654700381820294e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.779999999999699 y[1] (closed_form) = 0.4015229328349552 y[1] (numeric) = 0.401522932834807 absolute error = 1.481592626362271e-13 relative error = 3.689932766483541e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.789999999999698 y[1] (closed_form) = 0.3985233203960972 y[1] (numeric) = 0.3985233203959486 absolute error = 1.485478406948459e-13 relative error = 3.72745666545191e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.799999999999697 y[1] (closed_form) = 0.3954838559573012 y[1] (numeric) = 0.3954838559571524 absolute error = 1.488253964510022e-13 relative error = 3.763121912796115e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.809999999999695 y[1] (closed_form) = 0.3924048434624783 y[1] (numeric) = 0.3924048434623292 absolute error = 1.491029522071585e-13 relative error = 3.799722523593563e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.819999999999694 y[1] (closed_form) = 0.3892865908103121 y[1] (numeric) = 0.3892865908101626 absolute error = 1.494915302657773e-13 relative error = 3.840140754774164e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.829999999999693 y[1] (closed_form) = 0.3861294098234693 y[1] (numeric) = 0.3861294098233195 absolute error = 1.498245971731649e-13 relative error = 3.880165389154421e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.839999999999692 y[1] (closed_form) = 0.3829336162174176 y[1] (numeric) = 0.3829336162172675 absolute error = 1.501021529293212e-13 relative error = 3.91979566620492e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.849999999999691 y[1] (closed_form) = 0.3796995295688545 y[1] (numeric) = 0.3796995295687039 absolute error = 1.506017532904025e-13 relative error = 3.966340265456991e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.85999999999969 y[1] (closed_form) = 0.3764274732837497 y[1] (numeric) = 0.3764274732835987 absolute error = 1.509903313490213e-13 relative error = 4.011140048622469e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.869999999999689 y[1] (closed_form) = 0.373117774565005 y[1] (numeric) = 0.3731177745648537 absolute error = 1.512678871051776e-13 relative error = 4.054159233811133e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.879999999999688 y[1] (closed_form) = 0.3697707643797343 y[1] (numeric) = 0.3697707643795827 absolute error = 1.516564651637964e-13 relative error = 4.101364406626088e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.889999999999687 y[1] (closed_form) = 0.3663867774261669 y[1] (numeric) = 0.3663867774260148 absolute error = 1.521560655248777e-13 relative error = 4.152880914364867e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.899999999999685 y[1] (closed_form) = 0.3629661521001782 y[1] (numeric) = 0.3629661521000258 absolute error = 1.524891324322653e-13 relative error = 4.201194286297485e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.909999999999684 y[1] (closed_form) = 0.3595092304614503 y[1] (numeric) = 0.3595092304612973 absolute error = 1.529332216421153e-13 relative error = 4.253944229632628e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.919999999999683 y[1] (closed_form) = 0.3560163581992662 y[1] (numeric) = 0.3560163581991129 absolute error = 1.533217997007341e-13 relative error = 4.306594238428736e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.929999999999682 y[1] (closed_form) = 0.3524878845979416 y[1] (numeric) = 0.3524878845977879 absolute error = 1.537103777593529e-13 relative error = 4.360727970400448e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.939999999999681 y[1] (closed_form) = 0.3489241625018961 y[1] (numeric) = 0.348924162501742 absolute error = 1.540989558179717e-13 relative error = 4.41640254183126e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.94999999999968 y[1] (closed_form) = 0.3453255482803695 y[1] (numeric) = 0.3453255482802151 absolute error = 1.544875338765905e-13 relative error = 4.473678088571721e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.959999999999679 y[1] (closed_form) = 0.3416924017917853 y[1] (numeric) = 0.3416924017916305 absolute error = 1.548761119352093e-13 relative error = 4.532617966424231e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.969999999999678 y[1] (closed_form) = 0.3380250863477646 y[1] (numeric) = 0.3380250863476094 absolute error = 1.552646899938281e-13 relative error = 4.593288967733294e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.979999999999677 y[1] (closed_form) = 0.3343239686767958 y[1] (numeric) = 0.3343239686766402 absolute error = 1.556532680524469e-13 relative error = 4.655761555729889e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.989999999999676 y[1] (closed_form) = 0.3305894188875617 y[1] (numeric) = 0.3305894188874056 absolute error = 1.56097357262297e-13 relative error = 4.721789275275867e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.999999999999674 y[1] (closed_form) = 0.3268218104319291 y[1] (numeric) = 0.3268218104317726 absolute error = 1.565414464721471e-13 relative error = 4.789810272002998e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.009999999999677 y[1] (closed_form) = 0.3230215200676024 y[1] (numeric) = 0.3230215200674469 absolute error = 1.554867345987532e-13 relative error = 4.813510089551083e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.019999999999681 y[1] (closed_form) = 0.3191889278204525 y[1] (numeric) = 0.3191889278202982 absolute error = 1.542654892716655e-13 relative error = 4.833046381810639e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.029999999999684 y[1] (closed_form) = 0.3153244169465104 y[1] (numeric) = 0.3153244169463573 absolute error = 1.530442439445778e-13 relative error = 4.853548780858898e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.039999999999687 y[1] (closed_form) = 0.311428373893643 y[1] (numeric) = 0.3114283738934913 absolute error = 1.517674874662589e-13 relative error = 4.873271037214147e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.049999999999691 y[1] (closed_form) = 0.3075011882629091 y[1] (numeric) = 0.3075011882627587 absolute error = 1.503797086854775e-13 relative error = 4.890378132682368e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.059999999999694 y[1] (closed_form) = 0.303543252769599 y[1] (numeric) = 0.3035432527694499 absolute error = 1.491029522071585e-13 relative error = 4.912082572968057e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.069999999999697 y[1] (closed_form) = 0.2995549632039637 y[1] (numeric) = 0.2995549632038159 absolute error = 1.478261957288396e-13 relative error = 4.934860505989558e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.079999999999701 y[1] (closed_form) = 0.2955367183916364 y[1] (numeric) = 0.29553671839149 absolute error = 1.464384169480581e-13 relative error = 4.954999085900465e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.089999999999704 y[1] (closed_form) = 0.2914889201537497 y[1] (numeric) = 0.2914889201536046 absolute error = 1.450506381672767e-13 relative error = 4.976197314490302e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.099999999999707 y[1] (closed_form) = 0.2874119732667542 y[1] (numeric) = 0.2874119732666105 absolute error = 1.436628593864953e-13 relative error = 4.998499462413078e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.109999999999711 y[1] (closed_form) = 0.2833062854219411 y[1] (numeric) = 0.2833062854217988 absolute error = 1.423305917569451e-13 relative error = 5.023912249068726e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.119999999999714 y[1] (closed_form) = 0.2791722671846737 y[1] (numeric) = 0.2791722671845327 absolute error = 1.409983241273949e-13 relative error = 5.050584914801866e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.129999999999717 y[1] (closed_form) = 0.2750103319533305 y[1] (numeric) = 0.275010331953191 absolute error = 1.395550341953822e-13 relative error = 5.074537862056208e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.139999999999721 y[1] (closed_form) = 0.2708208959179665 y[1] (numeric) = 0.2708208959178284 absolute error = 1.381117442633695e-13 relative error = 5.099744751793616e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.149999999999724 y[1] (closed_form) = 0.266604378018694 y[1] (numeric) = 0.2666043780185573 absolute error = 1.36723965482588e-13 relative error = 5.128346597256594e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.159999999999727 y[1] (closed_form) = 0.2623611999037892 y[1] (numeric) = 0.2623611999036539 absolute error = 1.353361867018066e-13 relative error = 5.1583918182809e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.169999999999731 y[1] (closed_form) = 0.2580917858875276 y[1] (numeric) = 0.2580917858873937 absolute error = 1.339484079210251e-13 relative error = 5.189952383040883e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.179999999999734 y[1] (closed_form) = 0.253796562907753 y[1] (numeric) = 0.2537965629076205 absolute error = 1.325606291402437e-13 relative error = 5.22310576713465e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.189999999999737 y[1] (closed_form) = 0.2494759604831841 y[1] (numeric) = 0.249475960483053 absolute error = 1.31117339208231e-13 relative error = 5.255710368016358e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.199999999999741 y[1] (closed_form) = 0.2451304106704627 y[1] (numeric) = 0.245130410670333 absolute error = 1.297018048518339e-13 relative error = 5.291134808491653e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.209999999999744 y[1] (closed_form) = 0.240760348020949 y[1] (numeric) = 0.2407603480208207 absolute error = 1.282307593442056e-13 relative error = 5.326074679583367e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.219999999999748 y[1] (closed_form) = 0.2363662095372661 y[1] (numeric) = 0.2363662095371393 absolute error = 1.267874694121929e-13 relative error = 5.364026848863236e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.229999999999751 y[1] (closed_form) = 0.2319484346296006 y[1] (numeric) = 0.2319484346294753 absolute error = 1.253164239045645e-13 relative error = 5.402770840194841e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.239999999999754 y[1] (closed_form) = 0.2275074650717619 y[1] (numeric) = 0.227507465071638 absolute error = 1.239008895481675e-13 relative error = 5.446014244371535e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.249999999999758 y[1] (closed_form) = 0.2230437449570049 y[1] (numeric) = 0.2230437449568825 absolute error = 1.224020884649235e-13 relative error = 5.487806371280144e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.259999999999761 y[1] (closed_form) = 0.2185577206536214 y[1] (numeric) = 0.2185577206535005 absolute error = 1.208755318060639e-13 relative error = 5.530599946072465e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.269999999999764 y[1] (closed_form) = 0.2140498407603033 y[1] (numeric) = 0.2140498407601839 absolute error = 1.1937673072282e-13 relative error = 5.577053003113424e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.279999999999768 y[1] (closed_form) = 0.2095205560612834 y[1] (numeric) = 0.2095205560611656 absolute error = 1.178501740639604e-13 relative error = 5.624754739076291e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.289999999999771 y[1] (closed_form) = 0.2049703194812573 y[1] (numeric) = 0.2049703194811409 absolute error = 1.163513729807164e-13 relative error = 5.676498591365844e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.299999999999774 y[1] (closed_form) = 0.2003995860400911 y[1] (numeric) = 0.2003995860399763 absolute error = 1.147970607462412e-13 relative error = 5.728408077812865e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.309999999999778 y[1] (closed_form) = 0.1958088128073199 y[1] (numeric) = 0.1958088128072067 absolute error = 1.132705040873816e-13 relative error = 5.784750056109181e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.319999999999781 y[1] (closed_form) = 0.1911984588564415 y[1] (numeric) = 0.1911984588563298 absolute error = 1.116884362772907e-13 relative error = 5.841492496607953e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.329999999999784 y[1] (closed_form) = 0.1865689852190089 y[1] (numeric) = 0.1865689852188988 absolute error = 1.101063684671999e-13 relative error = 5.901643745231752e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.339999999999788 y[1] (closed_form) = 0.1819208548385281 y[1] (numeric) = 0.1819208548384195 absolute error = 1.085520562327247e-13 relative error = 5.966993521939795e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.349999999999791 y[1] (closed_form) = 0.1772545325241636 y[1] (numeric) = 0.1772545325240566 absolute error = 1.069977439982495e-13 relative error = 6.036389731453744e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.359999999999794 y[1] (closed_form) = 0.1725704849042582 y[1] (numeric) = 0.1725704849041528 absolute error = 1.054156761881586e-13 relative error = 6.108557685669308e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.369999999999798 y[1] (closed_form) = 0.1678691803796707 y[1] (numeric) = 0.1678691803795669 absolute error = 1.038336083780678e-13 relative error = 6.185388416338643e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.379999999999801 y[1] (closed_form) = 0.1631510890769358 y[1] (numeric) = 0.1631510890768336 absolute error = 1.022237849923613e-13 relative error = 6.265590108574542e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.389999999999804 y[1] (closed_form) = 0.1584166828012519 y[1] (numeric) = 0.1584166828011513 absolute error = 1.006139616066548e-13 relative error = 6.351222600266421e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.399999999999808 y[1] (closed_form) = 0.1536664349893014 y[1] (numeric) = 0.1536664349892023 absolute error = 9.905964937217959e-14 relative error = 6.446407725869111e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.409999999999811 y[1] (closed_form) = 0.1489008206619068 y[1] (numeric) = 0.1489008206618094 absolute error = 9.744982598647312e-14 relative error = 6.544613088986394e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.419999999999814 y[1] (closed_form) = 0.1441203163765297 y[1] (numeric) = 0.1441203163764339 absolute error = 9.581224702515101e-14 relative error = 6.648073598092258e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.429999999999818 y[1] (closed_form) = 0.1393254001796147 y[1] (numeric) = 0.1393254001795205 absolute error = 9.423017921506016e-14 relative error = 6.763316602254939e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.439999999999821 y[1] (closed_form) = 0.1345165515587859 y[1] (numeric) = 0.1345165515586933 absolute error = 9.262035582935368e-14 relative error = 6.88542448911033e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.449999999999824 y[1] (closed_form) = 0.129694251394898 y[1] (numeric) = 0.129694251394807 absolute error = 9.101053244364721e-14 relative error = 7.017314296108228e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.459999999999828 y[1] (closed_form) = 0.1248589819139487 y[1] (numeric) = 0.1248589819138593 absolute error = 8.940070905794073e-14 relative error = 7.160134392218142e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.469999999999831 y[1] (closed_form) = 0.1200112266388569 y[1] (numeric) = 0.1200112266387691 absolute error = 8.779088567223425e-14 relative error = 7.315222761318697e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.479999999999834 y[1] (closed_form) = 0.1151514703411101 y[1] (numeric) = 0.115151470341024 absolute error = 8.618106228652778e-14 relative error = 7.484147795181069e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.489999999999838 y[1] (closed_form) = 0.1102801989922885 y[1] (numeric) = 0.110280198992204 absolute error = 8.455736111301349e-14 relative error = 7.667501680780087e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.499999999999841 y[1] (closed_form) = 0.1053978997154676 y[1] (numeric) = 0.1053978997153846 absolute error = 8.294753772730701e-14 relative error = 7.869942185872051e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.509999999999844 y[1] (closed_form) = 0.1005050607365063 y[1] (numeric) = 0.100505060736425 absolute error = 8.132383655379272e-14 relative error = 8.091516582135011e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.519999999999848 y[1] (closed_form) = 0.09560217133522535 y[1] (numeric) = 0.09560217133514566 absolute error = 7.968625759247061e-14 relative error = 8.335193278513916e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.529999999999851 y[1] (closed_form) = 0.09068972179647906 y[1] (numeric) = 0.09068972179640102 absolute error = 7.80486786311485e-14 relative error = 8.606121739605851e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.539999999999854 y[1] (closed_form) = 0.08576820336112764 y[1] (numeric) = 0.08576820336105123 absolute error = 7.64110996698264e-14 relative error = 8.909024169259662e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.549999999999858 y[1] (closed_form) = 0.08083810817691336 y[1] (numeric) = 0.08083810817683859 absolute error = 7.477352070850429e-14 relative error = 9.249786071794656e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.559999999999861 y[1] (closed_form) = 0.07589992924924625 y[1] (numeric) = 0.07589992924917315 absolute error = 7.310818617156656e-14 relative error = 9.63218106982525e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.569999999999864 y[1] (closed_form) = 0.07095416039190396 y[1] (numeric) = 0.07095416039183253 absolute error = 7.142897384682101e-14 relative error = 1.006691833886759e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.579999999999868 y[1] (closed_form) = 0.06600129617765073 y[1] (numeric) = 0.06600129617758095 absolute error = 6.977751709769109e-14 relative error = 1.057214344849777e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.589999999999871 y[1] (closed_form) = 0.06104183188878062 y[1] (numeric) = 0.0610418318887125 absolute error = 6.811912145465726e-14 relative error = 1.115941631286092e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.599999999999874 y[1] (closed_form) = 0.05607626346758966 y[1] (numeric) = 0.05607626346752319 absolute error = 6.646766470552734e-14 relative error = 1.185308374619924e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.609999999999878 y[1] (closed_form) = 0.051105087466782 y[1] (numeric) = 0.05110508746671719 absolute error = 6.480926906249351e-14 relative error = 1.268156895428839e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.619999999999881 y[1] (closed_form) = 0.04612880099981508 y[1] (numeric) = 0.04612880099975193 absolute error = 6.315087341945969e-14 relative error = 1.369011811508234e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.629999999999884 y[1] (closed_form) = 0.04114790169118872 y[1] (numeric) = 0.04114790169112723 absolute error = 6.149247777642586e-14 relative error = 1.494425602499037e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.639999999999888 y[1] (closed_form) = 0.03616288762668305 y[1] (numeric) = 0.03616288762662322 absolute error = 5.982714323948812e-14 relative error = 1.654379590952362e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.649999999999891 y[1] (closed_form) = 0.03117425730355034 y[1] (numeric) = 0.03117425730349217 absolute error = 5.817221704340625e-14 relative error = 1.866033775142453e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.659999999999894 y[1] (closed_form) = 0.02618250958066574 y[1] (numeric) = 0.02618250958060924 absolute error = 5.649994361256461e-14 relative error = 2.157926971763109e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.669999999999898 y[1] (closed_form) = 0.02118814362864176 y[1] (numeric) = 0.02118814362858692 absolute error = 5.483460907562687e-14 relative error = 2.587985527977185e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.679999999999901 y[1] (closed_form) = 0.01619165887991163 y[1] (numeric) = 0.01619165887985847 absolute error = 5.316580509173718e-14 relative error = 3.283530457629511e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.689999999999904 y[1] (closed_form) = 0.01119355497878652 y[1] (numeric) = 0.01119355497873503 absolute error = 5.149526638437152e-14 relative error = 4.600438956342541e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.699999999999908 y[1] (closed_form) = 0.006194331731491461 y[1] (numeric) = 0.006194331731441638 absolute error = 4.982299295352988e-14 relative error = 8.043320105094465e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.709999999999911 y[1] (closed_form) = 0.001194489056185178 y[1] (numeric) = 0.001194489056137025 absolute error = 4.81533216079022e-14 relative error = 4.031290312670486e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.719999999999914 y[1] (closed_form) = -0.00380547306703132 y[1] (numeric) = -0.003805473067077803 absolute error = 4.648278290053653e-14 relative error = 1.221471866487236e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.729999999999918 y[1] (closed_form) = -0.008805054646112332 y[1] (numeric) = -0.008805054646157145 absolute error = 4.481311155490886e-14 relative error = 5.08947568822813e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.739999999999921 y[1] (closed_form) = -0.01380375572706625 y[1] (numeric) = -0.0138037557271094 absolute error = 4.314604229449515e-14 relative error = 3.125674138806648e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.749999999999925 y[1] (closed_form) = -0.01880107644395056 y[1] (numeric) = -0.01880107644399203 absolute error = 4.147723831060546e-14 relative error = 2.206109763675324e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.759999999999928 y[1] (closed_form) = -0.02379651706885797 y[1] (numeric) = -0.02379651706889778 absolute error = 3.980843432671577e-14 relative error = 1.67286810130766e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.769999999999931 y[1] (closed_form) = -0.02878957806188887 y[1] (numeric) = -0.02878957806192702 absolute error = 3.814309978977803e-14 relative error = 1.324892629818399e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.779999999999935 y[1] (closed_form) = -0.03377976012110481 y[1] (numeric) = -0.03377976012114129 absolute error = 3.64777652528403e-14 relative error = 1.079870464504863e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.789999999999938 y[1] (closed_form) = -0.03876656423245835 y[1] (numeric) = -0.03876656423249316 absolute error = 3.481243071590256e-14 relative error = 8.980014454506371e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.799999999999941 y[1] (closed_form) = -0.043749491719694 y[1] (numeric) = -0.04374949171972714 absolute error = 3.314015728506092e-14 relative error = 7.574981098613029e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.809999999999945 y[1] (closed_form) = -0.04872804429421546 y[1] (numeric) = -0.04872804429424695 absolute error = 3.1488700535931e-14 relative error = 6.462130994998509e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.819999999999948 y[1] (closed_form) = -0.05370172410491407 y[1] (numeric) = -0.05370172410494391 absolute error = 2.984418268070499e-14 relative error = 5.557397491074973e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.829999999999951 y[1] (closed_form) = -0.05867003378795347 y[1] (numeric) = -0.05867003378798166 absolute error = 2.818578703767116e-14 relative error = 4.804119789591541e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.839999999999955 y[1] (closed_form) = -0.06363247651650561 y[1] (numeric) = -0.06363247651653214 absolute error = 2.653433028854124e-14 relative error = 4.169935187365921e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.849999999999958 y[1] (closed_form) = -0.06858855605043297 y[1] (numeric) = -0.06858855605045786 absolute error = 2.488287353941132e-14 relative error = 3.627846243200544e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.859999999999961 y[1] (closed_form) = -0.07353777678591222 y[1] (numeric) = -0.07353777678593547 absolute error = 2.324529457808922e-14 relative error = 3.161000453652872e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.869999999999965 y[1] (closed_form) = -0.07847964380499417 y[1] (numeric) = -0.07847964380501578 absolute error = 2.160771561676711e-14 relative error = 2.753289205855451e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.879999999999968 y[1] (closed_form) = -0.08341366292509508 y[1] (numeric) = -0.08341366292511505 absolute error = 1.9970136655445e-14 relative error = 2.394108585469751e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.889999999999971 y[1] (closed_form) = -0.08833934074841464 y[1] (numeric) = -0.08833934074843294 absolute error = 1.830480211850727e-14 relative error = 2.072100828852492e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.899999999999975 y[1] (closed_form) = -0.09325618471127523 y[1] (numeric) = -0.09325618471129189 absolute error = 1.666722315718516e-14 relative error = 1.787251237951406e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.909999999999978 y[1] (closed_form) = -0.0981637031333779 y[1] (numeric) = -0.09816370313339293 absolute error = 1.502964419586306e-14 relative error = 1.53107958605044e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.919999999999981 y[1] (closed_form) = -0.1030614052669701 y[1] (numeric) = -0.1030614052669834 absolute error = 1.337818744673314e-14 relative error = 1.298079277308349e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.929999999999985 y[1] (closed_form) = -0.1079488013459197 y[1] (numeric) = -0.1079488013459314 absolute error = 1.174060848541103e-14 relative error = 1.087608971941105e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.939999999999988 y[1] (closed_form) = -0.1128254026346918 y[1] (numeric) = -0.1128254026347019 absolute error = 1.011690731189674e-14 relative error = 8.966870115813768e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.949999999999991 y[1] (closed_form) = -0.1176907214772213 y[1] (numeric) = -0.1176907214772298 absolute error = 8.520961713998076e-15 relative error = 7.24013040879122e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.959999999999995 y[1] (closed_form) = -0.1225442713456783 y[1] (numeric) = -0.1225442713456852 absolute error = 6.911138328291599e-15 relative error = 5.639707390969224e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.969999999999998 y[1] (closed_form) = -0.1273855668891206 y[1] (numeric) = -0.1273855668891259 absolute error = 5.301314942585122e-15 relative error = 4.161629195558326e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.980000000000001 y[1] (closed_form) = -0.1322141239820283 y[1] (numeric) = -0.132214123982032 absolute error = 3.691491556878645e-15 relative error = 2.792055376307924e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.990000000000005 y[1] (closed_form) = -0.1370294597727159 y[1] (numeric) = -0.137029459772718 absolute error = 2.109423746787797e-15 relative error = 1.539394339207493e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 Finished! diff ( y , x , 1 ) = sin ( x ) / 2.0 ; Iterations = 10000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %