##############ECHO OF PROBLEM################# ##############temp/div_lin_exppostode.ode################# diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) / exp ( x ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(1.0); 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 (c(0.1) * (c(5.0) + c(2.0)*c(x)))/exp(c(x))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 1 y[1] (closed_form) = -0.2575156088200097 y[1] (numeric) = -0.2575156088200097 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] = 1.009999999999999 y[1] (closed_form) = -0.2556817236592096 y[1] (numeric) = -0.2556817236592094 absolute error = 1.665334536937735e-16 relative error = 6.513310819029868e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = -0.2538588378818475 y[1] (numeric) = -0.2538588378818472 absolute error = 3.33066907387547e-16 relative error = 1.312016198319496e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = -0.2520469141618187 y[1] (numeric) = -0.2520469141618181 absolute error = 5.551115123125783e-16 relative error = 2.202413444174074e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = -0.2502459148268172 y[1] (numeric) = -0.2502459148268164 absolute error = 7.771561172376096e-16 relative error = 3.105569646463324e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999994 y[1] (closed_form) = -0.2484558018689213 y[1] (numeric) = -0.2484558018689204 absolute error = 9.436895709313831e-16 relative error = 3.798219095037469e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.059999999999993 y[1] (closed_form) = -0.2466765369550021 y[1] (numeric) = -0.2466765369550009 absolute error = 1.165734175856414e-15 relative error = 4.725760261783891e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.069999999999992 y[1] (closed_form) = -0.2449080814369579 y[1] (numeric) = -0.2449080814369566 absolute error = 1.360023205165817e-15 relative error = 5.553198559990769e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.079999999999991 y[1] (closed_form) = -0.243150396361778 y[1] (numeric) = -0.2431503963617764 absolute error = 1.554312234475219e-15 relative error = 6.392390297248757e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.08999999999999 y[1] (closed_form) = -0.2414034424814363 y[1] (numeric) = -0.2414034424814346 absolute error = 1.720845688168993e-15 relative error = 7.128505171591844e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.099999999999989 y[1] (closed_form) = -0.2396671802626192 y[1] (numeric) = -0.2396671802626173 absolute error = 1.915134717478395e-15 relative error = 7.990809235456665e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.109999999999988 y[1] (closed_form) = -0.2379415698962886 y[1] (numeric) = -0.2379415698962865 absolute error = 2.081668171172169e-15 relative error = 8.74865275571437e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = -0.2362265713070829 y[1] (numeric) = -0.2362265713070806 absolute error = 2.275957200481571e-15 relative error = 9.634636729849239e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = -0.2345221441625581 y[1] (numeric) = -0.2345221441625556 absolute error = 2.470246229790973e-15 relative error = 1.053310440518031e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = -0.2328282478822719 y[1] (numeric) = -0.2328282478822692 absolute error = 2.692290834716005e-15 relative error = 1.156342007125074e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999983 y[1] (closed_form) = -0.2311448416467116 y[1] (numeric) = -0.2311448416467088 absolute error = 2.80331313717852e-15 relative error = 1.21279502376401e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.159999999999982 y[1] (closed_form) = -0.22947188440607 y[1] (numeric) = -0.2294718844060671 absolute error = 2.969846590872294e-15 relative error = 1.294209353167161e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.169999999999981 y[1] (closed_form) = -0.2278093348888691 y[1] (numeric) = -0.2278093348888659 absolute error = 3.191891195797325e-15 relative error = 1.401123969460868e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.17999999999998 y[1] (closed_form) = -0.2261571516104359 y[1] (numeric) = -0.2261571516104325 absolute error = 3.33066907387547e-15 relative error = 1.472723303312854e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.189999999999979 y[1] (closed_form) = -0.224515292881231 y[1] (numeric) = -0.2245152928812275 absolute error = 3.524958103184872e-15 relative error = 1.570030289673666e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.199999999999978 y[1] (closed_form) = -0.2228837168150332 y[1] (numeric) = -0.2228837168150295 absolute error = 3.691491556878645e-15 relative error = 1.6562410254232e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999977 y[1] (closed_form) = -0.2212623813369802 y[1] (numeric) = -0.2212623813369763 absolute error = 3.858025010572419e-15 relative error = 1.743642542062624e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = -0.2196512441914705 y[1] (numeric) = -0.2196512441914665 absolute error = 3.996802888650564e-15 relative error = 1.819613134158503e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = -0.2180502629499252 y[1] (numeric) = -0.218050262949921 absolute error = 4.191091917959966e-15 relative error = 1.922076066894009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = -0.2164593950184141 y[1] (numeric) = -0.2164593950184097 absolute error = 4.357625371653739e-15 relative error = 2.013137554636073e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.249999999999972 y[1] (closed_form) = -0.2148785976451469 y[1] (numeric) = -0.2148785976451424 absolute error = 4.524158825347513e-15 relative error = 2.105448785932028e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.259999999999971 y[1] (closed_form) = -0.2133078279278318 y[1] (numeric) = -0.2133078279278271 absolute error = 4.690692279041286e-15 relative error = 2.199024913716848e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.26999999999997 y[1] (closed_form) = -0.211747042820903 y[1] (numeric) = -0.2117470428208981 absolute error = 4.85722573273506e-15 relative error = 2.293881259462656e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.279999999999969 y[1] (closed_form) = -0.2101961991426196 y[1] (numeric) = -0.2101961991426145 absolute error = 5.023759186428833e-15 relative error = 2.390033315026871e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.289999999999968 y[1] (closed_form) = -0.2086552535820372 y[1] (numeric) = -0.208655253582032 absolute error = 5.218048215738236e-15 relative error = 2.500798866148199e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999967 y[1] (closed_form) = -0.2071241627058547 y[1] (numeric) = -0.2071241627058493 absolute error = 5.384581669432009e-15 relative error = 2.599687838969744e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.309999999999966 y[1] (closed_form) = -0.2056028829651366 y[1] (numeric) = -0.2056028829651311 absolute error = 5.523359547510154e-15 relative error = 2.686421254339479e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = -0.204091370701915 y[1] (numeric) = -0.2040913707019094 absolute error = 5.634381849972669e-15 relative error = 2.760715374978763e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = -0.2025895821556706 y[1] (numeric) = -0.2025895821556648 absolute error = 5.828670879282072e-15 relative error = 2.877083222770705e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = -0.2010974734696959 y[1] (numeric) = -0.2010974734696899 absolute error = 6.022959908591474e-15 relative error = 2.995045041925449e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.349999999999961 y[1] (closed_form) = -0.1996150006973422 y[1] (numeric) = -0.199615000697336 absolute error = 6.217248937900877e-15 relative error = 3.114620101786598e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.35999999999996 y[1] (closed_form) = -0.198142119808151 y[1] (numeric) = -0.1981421198081446 absolute error = 6.38378239159465e-15 relative error = 3.221819973348262e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.369999999999959 y[1] (closed_form) = -0.1966787866938734 y[1] (numeric) = -0.1966787866938668 absolute error = 6.550315845288424e-15 relative error = 3.330463826525358e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.379999999999958 y[1] (closed_form) = -0.1952249571743771 y[1] (numeric) = -0.1952249571743704 absolute error = 6.716849298982197e-15 relative error = 3.440568970381503e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.389999999999957 y[1] (closed_form) = -0.193780587003444 y[1] (numeric) = -0.1937805870034371 absolute error = 6.883382752675971e-15 relative error = 3.552152906087354e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.399999999999956 y[1] (closed_form) = -0.1923456318744594 y[1] (numeric) = -0.1923456318744523 absolute error = 7.049916206369744e-15 relative error = 3.665233329016331e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.409999999999955 y[1] (closed_form) = -0.1909200474259942 y[1] (numeric) = -0.190920047425987 absolute error = 7.216449660063518e-15 relative error = 3.779828130862375e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = -0.1895037892472831 y[1] (numeric) = -0.1895037892472757 absolute error = 7.382983113757291e-15 relative error = 3.895955401779988e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = -0.1880968128835977 y[1] (numeric) = -0.1880968128835902 absolute error = 7.549516567451064e-15 relative error = 4.013633432546794e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = -0.1866990738415187 y[1] (numeric) = -0.186699073841511 absolute error = 7.716050021144838e-15 relative error = 4.132880716748857e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.44999999999995 y[1] (closed_form) = -0.185310527594107 y[1] (numeric) = -0.1853105275940992 absolute error = 7.827072323607354e-15 relative error = 4.223760206841189e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.459999999999949 y[1] (closed_form) = -0.183931129585976 y[1] (numeric) = -0.183931129585968 absolute error = 7.965850201685498e-15 relative error = 4.330887446630929e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.469999999999948 y[1] (closed_form) = -0.1825608352382658 y[1] (numeric) = -0.1825608352382577 absolute error = 8.104628079763643e-15 relative error = 4.439412248079409e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.479999999999947 y[1] (closed_form) = -0.1811995999535221 y[1] (numeric) = -0.1811995999535139 absolute error = 8.271161533457416e-15 relative error = 4.564668760625838e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.489999999999946 y[1] (closed_form) = -0.1798473791204794 y[1] (numeric) = -0.179847379120471 absolute error = 8.382183835919932e-15 relative error = 4.660720593712253e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.499999999999945 y[1] (closed_form) = -0.1785041281187513 y[1] (numeric) = -0.1785041281187427 absolute error = 8.520961713998076e-15 relative error = 4.773537622799087e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = -0.1771698023234288 y[1] (numeric) = -0.1771698023234201 absolute error = 8.631984016460592e-15 relative error = 4.872153100166951e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = -0.1758443571095882 y[1] (numeric) = -0.1758443571095794 absolute error = 8.826273045769994e-15 relative error = 5.019366666551238e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = -0.1745277478567094 y[1] (numeric) = -0.1745277478567004 absolute error = 8.965050923848139e-15 relative error = 5.136748187003833e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = -0.1732199299530059 y[1] (numeric) = -0.1732199299529968 absolute error = 9.159339953157541e-15 relative error = 5.287694063634851e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.549999999999939 y[1] (closed_form) = -0.1719208587996697 y[1] (numeric) = -0.1719208587996604 absolute error = 9.325873406851315e-15 relative error = 5.424515368270852e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.559999999999938 y[1] (closed_form) = -0.1706304898150289 y[1] (numeric) = -0.1706304898150194 absolute error = 9.492406860545088e-15 relative error = 5.563136383676377e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.569999999999937 y[1] (closed_form) = -0.1693487784386227 y[1] (numeric) = -0.1693487784386131 absolute error = 9.575673587391975e-15 relative error = 5.654409601107633e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.579999999999936 y[1] (closed_form) = -0.168075680135193 y[1] (numeric) = -0.1680756801351833 absolute error = 9.686695889854491e-15 relative error = 5.7632941791834e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.589999999999935 y[1] (closed_form) = -0.1668111503985948 y[1] (numeric) = -0.1668111503985849 absolute error = 9.908740494779522e-15 relative error = 5.940094814466906e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.599999999999934 y[1] (closed_form) = -0.1655551447556257 y[1] (numeric) = -0.1655551447556157 absolute error = 1.004751837285767e-14 relative error = 6.068985888471606e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.609999999999933 y[1] (closed_form) = -0.1643076187697771 y[1] (numeric) = -0.164307618769767 absolute error = 1.013078509970455e-14 relative error = 6.16574275469204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.619999999999932 y[1] (closed_form) = -0.1630685280449069 y[1] (numeric) = -0.1630685280448966 absolute error = 1.029731855339833e-14 relative error = 6.314718527760661e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.629999999999931 y[1] (closed_form) = -0.1618378282288356 y[1] (numeric) = -0.1618378282288252 absolute error = 1.04638520070921e-14 relative error = 6.465640401634908e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.63999999999993 y[1] (closed_form) = -0.1606154750168671 y[1] (numeric) = -0.1606154750168565 absolute error = 1.057487430955462e-14 relative error = 6.583969762841403e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.649999999999928 y[1] (closed_form) = -0.1594014241552346 y[1] (numeric) = -0.1594014241552239 absolute error = 1.068589661201713e-14 relative error = 6.703764830614418e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.659999999999927 y[1] (closed_form) = -0.1581956314444738 y[1] (numeric) = -0.158195631444463 absolute error = 1.082467449009528e-14 relative error = 6.842587491990703e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.669999999999926 y[1] (closed_form) = -0.1569980527427236 y[1] (numeric) = -0.1569980527427127 absolute error = 1.093569679255779e-14 relative error = 6.965498362249355e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.679999999999925 y[1] (closed_form) = -0.1558086439689556 y[1] (numeric) = -0.1558086439689446 absolute error = 1.101896351940468e-14 relative error = 7.072113098937035e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.689999999999924 y[1] (closed_form) = -0.154627361106134 y[1] (numeric) = -0.1546273611061228 absolute error = 1.115774139748282e-14 relative error = 7.215890717959232e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.699999999999923 y[1] (closed_form) = -0.1534541602043061 y[1] (numeric) = -0.1534541602042948 absolute error = 1.129651927556097e-14 relative error = 7.361494312386829e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.709999999999922 y[1] (closed_form) = -0.1522889973836259 y[1] (numeric) = -0.1522889973836144 absolute error = 1.146305272925474e-14 relative error = 7.527170659859665e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.719999999999921 y[1] (closed_form) = -0.1511318288373094 y[1] (numeric) = -0.1511318288372979 absolute error = 1.157407503171726e-14 relative error = 7.658264391266337e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.72999999999992 y[1] (closed_form) = -0.1499826108345258 y[1] (numeric) = -0.1499826108345141 absolute error = 1.168509733417977e-14 relative error = 7.79096807900738e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.739999999999919 y[1] (closed_form) = -0.1488412997232226 y[1] (numeric) = -0.1488412997232108 absolute error = 1.185163078787355e-14 relative error = 7.962595603446227e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.749999999999917 y[1] (closed_form) = -0.1477078519328877 y[1] (numeric) = -0.1477078519328757 absolute error = 1.196265309033606e-14 relative error = 8.098860645384915e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.759999999999916 y[1] (closed_form) = -0.1465822239772485 y[1] (numeric) = -0.1465822239772364 absolute error = 1.210143096841421e-14 relative error = 8.255728859928139e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.769999999999915 y[1] (closed_form) = -0.1454643724569091 y[1] (numeric) = -0.1454643724568969 absolute error = 1.221245327087672e-14 relative error = 8.395494418741205e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.779999999999914 y[1] (closed_form) = -0.1443542540619273 y[1] (numeric) = -0.144354254061915 absolute error = 1.226796442210798e-14 relative error = 8.498512566761686e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.789999999999913 y[1] (closed_form) = -0.1432518255743305 y[1] (numeric) = -0.1432518255743181 absolute error = 1.23789867245705e-14 relative error = 8.641416383309745e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.799999999999912 y[1] (closed_form) = -0.142157043870574 y[1] (numeric) = -0.1421570438705616 absolute error = 1.243449787580175e-14 relative error = 8.747014947161297e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.809999999999911 y[1] (closed_form) = -0.1410698659239406 y[1] (numeric) = -0.141069865923928 absolute error = 1.25732757538799e-14 relative error = 8.912800527264215e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.81999999999991 y[1] (closed_form) = -0.1399902488068827 y[1] (numeric) = -0.13999024880687 absolute error = 1.273980920757367e-14 relative error = 9.10049758190537e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.829999999999909 y[1] (closed_form) = -0.1389181496933094 y[1] (numeric) = -0.1389181496932965 absolute error = 1.285083151003619e-14 relative error = 9.250649780757274e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.839999999999907 y[1] (closed_form) = -0.137853525860817 y[1] (numeric) = -0.137853525860804 absolute error = 1.29618538124987e-14 relative error = 9.402627703251902e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.849999999999906 y[1] (closed_form) = -0.1367963346928659 y[1] (numeric) = -0.1367963346928528 absolute error = 1.310063169057685e-14 relative error = 9.576741745303547e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.859999999999905 y[1] (closed_form) = -0.1357465336809036 y[1] (numeric) = -0.1357465336808903 absolute error = 1.323940956865499e-14 relative error = 9.753036935570365e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.869999999999904 y[1] (closed_form) = -0.1347040804264348 y[1] (numeric) = -0.1347040804264215 absolute error = 1.332267629550188e-14 relative error = 9.89032867699781e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.879999999999903 y[1] (closed_form) = -0.1336689326430403 y[1] (numeric) = -0.1336689326430268 absolute error = 1.343369859796439e-14 relative error = 1.004997820536113e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.889999999999902 y[1] (closed_form) = -0.1326410481583437 y[1] (numeric) = -0.1326410481583301 absolute error = 1.357247647604254e-14 relative error = 1.023248584392974e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.899999999999901 y[1] (closed_form) = -0.1316203849159289 y[1] (numeric) = -0.1316203849159153 absolute error = 1.365574320288943e-14 relative error = 1.037509745288458e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9099999999999 y[1] (closed_form) = -0.130606900977208 y[1] (numeric) = -0.1306069009771942 absolute error = 1.379452108096757e-14 relative error = 1.056186233480482e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.919999999999899 y[1] (closed_form) = -0.1296005545232397 y[1] (numeric) = -0.1296005545232258 absolute error = 1.387778780781446e-14 relative error = 1.070812378763852e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.929999999999898 y[1] (closed_form) = -0.1286013038565008 y[1] (numeric) = -0.1286013038564868 absolute error = 1.40165656858926e-14 relative error = 1.089924072739801e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.939999999999896 y[1] (closed_form) = -0.1276091074026104 y[1] (numeric) = -0.1276091074025963 absolute error = 1.415534356397075e-14 relative error = 1.109273769881504e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.949999999999895 y[1] (closed_form) = -0.1266239237120073 y[1] (numeric) = -0.1266239237119931 absolute error = 1.423861029081763e-14 relative error = 1.124480261976547e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999894 y[1] (closed_form) = -0.1256457114615825 y[1] (numeric) = -0.1256457114615681 absolute error = 1.434963259328015e-14 relative error = 1.142071020678466e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999893 y[1] (closed_form) = -0.1246744294562659 y[1] (numeric) = -0.1246744294562514 absolute error = 1.446065489574266e-14 relative error = 1.159873356454001e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999892 y[1] (closed_form) = -0.1237100366305703 y[1] (numeric) = -0.1237100366305558 absolute error = 1.455779941039737e-14 relative error = 1.176767852221292e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999891 y[1] (closed_form) = -0.1227524920500908 y[1] (numeric) = -0.1227524920500762 absolute error = 1.464106613724425e-14 relative error = 1.192730664178269e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.99999999999989 y[1] (closed_form) = -0.1218017549129619 y[1] (numeric) = -0.1218017549129471 absolute error = 1.473821065189895e-14 relative error = 1.210016281163659e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.009999999999889 y[1] (closed_form) = -0.1208577845512726 y[1] (numeric) = -0.1208577845512577 absolute error = 1.483535516655365e-14 relative error = 1.227505139336715e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999888 y[1] (closed_form) = -0.1199205404324405 y[1] (numeric) = -0.1199205404324256 absolute error = 1.493249968120836e-14 relative error = 1.245199498548029e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999887 y[1] (closed_form) = -0.1189899821605453 y[1] (numeric) = -0.1189899821605302 absolute error = 1.501576640805524e-14 relative error = 1.261935344085981e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.039999999999885 y[1] (closed_form) = -0.1180660694776213 y[1] (numeric) = -0.1180660694776062 absolute error = 1.512678871051776e-14 relative error = 1.281213881129917e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999884 y[1] (closed_form) = -0.1171487622649124 y[1] (numeric) = -0.1171487622648972 absolute error = 1.522393322517246e-14 relative error = 1.299538546616999e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999883 y[1] (closed_form) = -0.1162380205440871 y[1] (numeric) = -0.1162380205440718 absolute error = 1.532107773982716e-14 relative error = 1.318077997897094e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999882 y[1] (closed_form) = -0.115333804478416 y[1] (numeric) = -0.1153338044784007 absolute error = 1.539046667886623e-14 relative error = 1.334428075833262e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.079999999999881 y[1] (closed_form) = -0.1144360743739121 y[1] (numeric) = -0.1144360743738967 absolute error = 1.547373340571312e-14 relative error = 1.352172685962098e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.08999999999988 y[1] (closed_form) = -0.1135447906804342 y[1] (numeric) = -0.1135447906804186 absolute error = 1.561251128379126e-14 relative error = 1.375009033019564e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.099999999999879 y[1] (closed_form) = -0.112659913992754 y[1] (numeric) = -0.1126599139927384 absolute error = 1.568190022283034e-14 relative error = 1.39196806273427e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999878 y[1] (closed_form) = -0.1117814050515886 y[1] (numeric) = -0.1117814050515728 absolute error = 1.576516694967722e-14 relative error = 1.41035684266103e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999877 y[1] (closed_form) = -0.1109092247445967 y[1] (numeric) = -0.1109092247445809 absolute error = 1.586231146433192e-14 relative error = 1.430206684868627e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.129999999999876 y[1] (closed_form) = -0.1100433341073421 y[1] (numeric) = -0.1100433341073261 absolute error = 1.597333376679444e-14 relative error = 1.451549418814701e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.139999999999874 y[1] (closed_form) = -0.1091836943242219 y[1] (numeric) = -0.1091836943242058 absolute error = 1.608435606925696e-14 relative error = 1.47314634926112e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.149999999999873 y[1] (closed_form) = -0.108330266729363 y[1] (numeric) = -0.1083302667293468 absolute error = 1.616762279610384e-14 relative error = 1.492438197027129e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.159999999999872 y[1] (closed_form) = -0.1074830128074851 y[1] (numeric) = -0.1074830128074688 absolute error = 1.623701173514291e-14 relative error = 1.510658411131938e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.169999999999871 y[1] (closed_form) = -0.1066418941947321 y[1] (numeric) = -0.1066418941947157 absolute error = 1.633415624979762e-14 relative error = 1.531682869395665e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.17999999999987 y[1] (closed_form) = -0.1058068726794719 y[1] (numeric) = -0.1058068726794555 absolute error = 1.640354518883669e-14 relative error = 1.55032889390173e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.189999999999869 y[1] (closed_form) = -0.1049779102030653 y[1] (numeric) = -0.1049779102030488 absolute error = 1.647293412787576e-14 relative error = 1.569180992078347e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.199999999999868 y[1] (closed_form) = -0.1041549688606047 y[1] (numeric) = -0.1041549688605881 absolute error = 1.655620085472265e-14 relative error = 1.589573789502118e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.209999999999867 y[1] (closed_form) = -0.1033380109016226 y[1] (numeric) = -0.103338010901606 absolute error = 1.663946758156953e-14 relative error = 1.610198167778771e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.219999999999866 y[1] (closed_form) = -0.1025269987307712 y[1] (numeric) = -0.1025269987307544 absolute error = 1.676436767183986e-14 relative error = 1.635117371948235e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.229999999999865 y[1] (closed_form) = -0.1017218949084729 y[1] (numeric) = -0.1017218949084561 absolute error = 1.683375661087894e-14 relative error = 1.654880360420495e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.239999999999863 y[1] (closed_form) = -0.1009226621515426 y[1] (numeric) = -0.1009226621515256 absolute error = 1.691702333772582e-14 relative error = 1.676236335534204e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.249999999999862 y[1] (closed_form) = -0.100129263333782 y[1] (numeric) = -0.100129263333765 absolute error = 1.702804564018834e-14 relative error = 1.700606303616272e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.259999999999861 y[1] (closed_form) = -0.09934166148654719 y[1] (numeric) = -0.09934166148653009 absolute error = 1.709743457922741e-14 relative error = 1.721073950584442e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.26999999999986 y[1] (closed_form) = -0.09855981979928849 y[1] (numeric) = -0.09855981979927131 absolute error = 1.71807013060743e-14 relative error = 1.743174991701672e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.279999999999859 y[1] (closed_form) = -0.09778370162006472 y[1] (numeric) = -0.09778370162004746 absolute error = 1.726396803292118e-14 relative error = 1.765526130315638e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.289999999999858 y[1] (closed_form) = -0.09701327045603123 y[1] (numeric) = -0.09701327045601388 absolute error = 1.734723475976807e-14 relative error = 1.7881300855258e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.299999999999857 y[1] (closed_form) = -0.09624848997390249 y[1] (numeric) = -0.09624848997388509 absolute error = 1.740274591099933e-14 relative error = 1.808105863865297e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.309999999999856 y[1] (closed_form) = -0.09548932400039005 y[1] (numeric) = -0.09548932400037255 absolute error = 1.749989042565403e-14 relative error = 1.832654132684251e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.319999999999855 y[1] (closed_form) = -0.09473573652261544 y[1] (numeric) = -0.09473573652259785 absolute error = 1.758315715250092e-14 relative error = 1.856021581497225e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.329999999999854 y[1] (closed_form) = -0.09398769168849959 y[1] (numeric) = -0.09398769168848192 absolute error = 1.76664238793478e-14 relative error = 1.879652916458367e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.339999999999852 y[1] (closed_form) = -0.09324515380712817 y[1] (numeric) = -0.09324515380711045 absolute error = 1.772193503057906e-14 relative error = 1.900574379150662e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.349999999999851 y[1] (closed_form) = -0.09250808734909405 y[1] (numeric) = -0.09250808734907624 absolute error = 1.780520175742595e-14 relative error = 1.924718396807316e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.35999999999985 y[1] (closed_form) = -0.0917764569468168 y[1] (numeric) = -0.0917764569467989 absolute error = 1.790234627208065e-14 relative error = 1.950646916175334e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.369999999999849 y[1] (closed_form) = -0.09105022739483987 y[1] (numeric) = -0.09105022739482188 absolute error = 1.798561299892754e-14 relative error = 1.975350695274248e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.379999999999848 y[1] (closed_form) = -0.09032936365010596 y[1] (numeric) = -0.09032936365008788 absolute error = 1.808275751358224e-14 relative error = 2.001869246375569e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.389999999999847 y[1] (closed_form) = -0.08961383083221067 y[1] (numeric) = -0.08961383083219253 absolute error = 1.813826866481349e-14 relative error = 2.024047906039734e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.399999999999846 y[1] (closed_form) = -0.08890359422363518 y[1] (numeric) = -0.08890359422361696 absolute error = 1.822153539166038e-14 relative error = 2.049583658656643e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.409999999999845 y[1] (closed_form) = -0.08819861926995809 y[1] (numeric) = -0.08819861926993983 absolute error = 1.826316875508383e-14 relative error = 2.070686469499479e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.419999999999844 y[1] (closed_form) = -0.08749887158004706 y[1] (numeric) = -0.08749887158002873 absolute error = 1.83325576941229e-14 relative error = 2.095176470630439e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.429999999999843 y[1] (closed_form) = -0.08680431692623025 y[1] (numeric) = -0.08680431692621184 absolute error = 1.841582442096978e-14 relative error = 2.121533245474448e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.439999999999841 y[1] (closed_form) = -0.08611492124444842 y[1] (numeric) = -0.08611492124442995 absolute error = 1.847133557220104e-14 relative error = 2.144963416939992e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.44999999999984 y[1] (closed_form) = -0.08543065063438769 y[1] (numeric) = -0.08543065063436914 absolute error = 1.855460229904793e-14 relative error = 2.171890552309489e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.459999999999839 y[1] (closed_form) = -0.08475147135959354 y[1] (numeric) = -0.08475147135957492 absolute error = 1.8623991238087e-14 relative error = 2.197482939153579e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.469999999999838 y[1] (closed_form) = -0.08407734984756619 y[1] (numeric) = -0.0840773498475475 absolute error = 1.869338017712607e-14 relative error = 2.223355066616338e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.479999999999837 y[1] (closed_form) = -0.08340825268983805 y[1] (numeric) = -0.08340825268981927 absolute error = 1.877664690397296e-14 relative error = 2.251173750611442e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.489999999999836 y[1] (closed_form) = -0.08274414664203321 y[1] (numeric) = -0.08274414664201436 absolute error = 1.884603584301203e-14 relative error = 2.277627676135635e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.499999999999835 y[1] (closed_form) = -0.08208499862390965 y[1] (numeric) = -0.08208499862389074 absolute error = 1.89154247820511e-14 relative error = 2.304370481714479e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.509999999999834 y[1] (closed_form) = -0.08143077571938431 y[1] (numeric) = -0.08143077571936534 absolute error = 1.897093593328236e-14 relative error = 2.329700996421479e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.519999999999833 y[1] (closed_form) = -0.08078144517654139 y[1] (numeric) = -0.08078144517652235 absolute error = 1.904032487232143e-14 relative error = 2.357017113361902e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.529999999999831 y[1] (closed_form) = -0.08013697440762424 y[1] (numeric) = -0.08013697440760512 absolute error = 1.912359159916832e-14 relative error = 2.386363066553321e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.53999999999983 y[1] (closed_form) = -0.07949733098901114 y[1] (numeric) = -0.07949733098899198 absolute error = 1.916522496259176e-14 relative error = 2.410801057615502e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.549999999999829 y[1] (closed_form) = -0.07886248266117547 y[1] (numeric) = -0.07886248266115622 absolute error = 1.924849168943865e-14 relative error = 2.440766640854792e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.559999999999828 y[1] (closed_form) = -0.07823239732863012 y[1] (numeric) = -0.07823239732861081 absolute error = 1.930400284066991e-14 relative error = 2.46752029847427e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.569999999999827 y[1] (closed_form) = -0.07760704305985702 y[1] (numeric) = -0.07760704305983766 absolute error = 1.935951399190117e-14 relative error = 2.494556322287591e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.579999999999826 y[1] (closed_form) = -0.07698638808722176 y[1] (numeric) = -0.0769863880872023 absolute error = 1.945665850655587e-14 relative error = 2.527285535790098e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.589999999999825 y[1] (closed_form) = -0.07637040080687359 y[1] (numeric) = -0.07637040080685406 absolute error = 1.952604744559494e-14 relative error = 2.556755921050179e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.599999999999824 y[1] (closed_form) = -0.07575904977863128 y[1] (numeric) = -0.07575904977861168 absolute error = 1.959543638463401e-14 relative error = 2.586547276119761e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.609999999999823 y[1] (closed_form) = -0.07515230372585506 y[1] (numeric) = -0.07515230372583538 absolute error = 1.96787031114809e-14 relative error = 2.618509631223817e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.619999999999822 y[1] (closed_form) = -0.07455013153530475 y[1] (numeric) = -0.07455013153528502 absolute error = 1.973421426271216e-14 relative error = 2.647106565246852e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.62999999999982 y[1] (closed_form) = -0.0739525022569847 y[1] (numeric) = -0.07395250225696492 absolute error = 1.97758476261356e-14 relative error = 2.674128261057969e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.639999999999819 y[1] (closed_form) = -0.07335938510397554 y[1] (numeric) = -0.0733593851039557 absolute error = 1.983135877736686e-14 relative error = 2.703315840128565e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.649999999999818 y[1] (closed_form) = -0.07277074945225313 y[1] (numeric) = -0.07277074945223322 absolute error = 1.991462550421375e-14 relative error = 2.736625038784336e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.659999999999817 y[1] (closed_form) = -0.07218656484049497 y[1] (numeric) = -0.072186564840475 absolute error = 1.9970136655445e-14 relative error = 2.766461695409867e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.669999999999816 y[1] (closed_form) = -0.07160680096987437 y[1] (numeric) = -0.07160680096985433 absolute error = 2.003952559448408e-14 relative error = 2.798550601766847e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.679999999999815 y[1] (closed_form) = -0.07103142770384253 y[1] (numeric) = -0.07103142770382244 absolute error = 2.009503674571533e-14 relative error = 2.829034611200454e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.689999999999814 y[1] (closed_form) = -0.07046041506789896 y[1] (numeric) = -0.0704604150678788 absolute error = 2.016442568475441e-14 relative error = 2.861809097395043e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.699999999999813 y[1] (closed_form) = -0.06989373324935032 y[1] (numeric) = -0.06989373324933011 absolute error = 2.020605904817785e-14 relative error = 2.890968633209426e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.709999999999812 y[1] (closed_form) = -0.06933135259705811 y[1] (numeric) = -0.06933135259703781 absolute error = 2.030320356283255e-14 relative error = 2.928430328026524e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.719999999999811 y[1] (closed_form) = -0.06877324362117522 y[1] (numeric) = -0.06877324362115485 absolute error = 2.037259250187162e-14 relative error = 2.962284666125435e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.729999999999809 y[1] (closed_form) = -0.06821937699287189 y[1] (numeric) = -0.06821937699285145 absolute error = 2.044198144091069e-14 relative error = 2.996506614689055e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.739999999999808 y[1] (closed_form) = -0.06766972354405107 y[1] (numeric) = -0.06766972354403054 absolute error = 2.052524816775758e-14 relative error = 3.033150882373005e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.749999999999807 y[1] (closed_form) = -0.06712425426705342 y[1] (numeric) = -0.06712425426703283 absolute error = 2.058075931898884e-14 relative error = 3.066068970704452e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.759999999999806 y[1] (closed_form) = -0.0665829403143525 y[1] (numeric) = -0.06658294031433186 absolute error = 2.06362704702201e-14 relative error = 3.099333008243822e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.769999999999805 y[1] (closed_form) = -0.06604575299823985 y[1] (numeric) = -0.06604575299821916 absolute error = 2.069178162145136e-14 relative error = 3.13294658356046e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.779999999999804 y[1] (closed_form) = -0.06551266379050079 y[1] (numeric) = -0.06551266379048 absolute error = 2.078892613610606e-14 relative error = 3.173268332148083e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.789999999999803 y[1] (closed_form) = -0.06498364432208052 y[1] (numeric) = -0.06498364432205969 absolute error = 2.08305594995295e-14 relative error = 3.205508050038919e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.799999999999802 y[1] (closed_form) = -0.06445866638274141 y[1] (numeric) = -0.06445866638272053 absolute error = 2.087219286295294e-14 relative error = 3.238073952541687e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.809999999999801 y[1] (closed_form) = -0.06393770192071105 y[1] (numeric) = -0.06393770192069012 absolute error = 2.09277040141842e-14 relative error = 3.273139851059487e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.8199999999998 y[1] (closed_form) = -0.0634207230423218 y[1] (numeric) = -0.0634207230423008 absolute error = 2.099709295322327e-14 relative error = 3.310762152492575e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.829999999999798 y[1] (closed_form) = -0.0629077020116417 y[1] (numeric) = -0.06290770201162064 absolute error = 2.105260410445453e-14 relative error = 3.346586098560481e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.839999999999797 y[1] (closed_form) = -0.06239861125009715 y[1] (numeric) = -0.062398611250076 absolute error = 2.114974861910923e-14 relative error = 3.389458225975551e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.849999999999796 y[1] (closed_form) = -0.0618934233360874 y[1] (numeric) = -0.0618934233360662 absolute error = 2.119832087643658e-14 relative error = 3.424971464468463e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.859999999999795 y[1] (closed_form) = -0.06139211100459123 y[1] (numeric) = -0.06139211100456996 absolute error = 2.126770981547565e-14 relative error = 3.464241490879039e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.869999999999794 y[1] (closed_form) = -0.06089464714676579 y[1] (numeric) = -0.06089464714674446 absolute error = 2.133015986061082e-14 relative error = 3.502797184981094e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.879999999999793 y[1] (closed_form) = -0.06040100480953806 y[1] (numeric) = -0.06040100480951668 absolute error = 2.137873211793817e-14 relative error = 3.539466302812599e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.889999999999792 y[1] (closed_form) = -0.0599111571951889 y[1] (numeric) = -0.05991115719516747 absolute error = 2.143424326916943e-14 relative error = 3.577671384202654e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.899999999999791 y[1] (closed_form) = -0.05942507766092994 y[1] (numeric) = -0.05942507766090843 absolute error = 2.15036322082085e-14 relative error = 3.618612386323635e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.90999999999979 y[1] (closed_form) = -0.05894273971847355 y[1] (numeric) = -0.05894273971845198 absolute error = 2.156608225334367e-14 relative error = 3.658819110945487e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.919999999999789 y[1] (closed_form) = -0.058464117033596 y[1] (numeric) = -0.05846411703357438 absolute error = 2.161465451067102e-14 relative error = 3.697080467023953e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.929999999999787 y[1] (closed_form) = -0.05798918342569409 y[1] (numeric) = -0.05798918342567242 absolute error = 2.167016566190227e-14 relative error = 3.736932369408148e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.939999999999786 y[1] (closed_form) = -0.05751791286733522 y[1] (numeric) = -0.0575179128673135 absolute error = 2.171873791922962e-14 relative error = 3.775995483237332e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.949999999999785 y[1] (closed_form) = -0.05705027948380131 y[1] (numeric) = -0.05705027948377954 absolute error = 2.177424907046088e-14 relative error = 3.816677020249024e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.959999999999784 y[1] (closed_form) = -0.05658625755262658 y[1] (numeric) = -0.05658625755260477 absolute error = 2.181588243388433e-14 relative error = 3.855332262183098e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.969999999999783 y[1] (closed_form) = -0.05612582150312946 y[1] (numeric) = -0.0561258215031076 absolute error = 2.186445469121168e-14 relative error = 3.895614194260401e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.979999999999782 y[1] (closed_form) = -0.05566894591593868 y[1] (numeric) = -0.05566894591591675 absolute error = 2.192690473634684e-14 relative error = 3.938803649966167e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.989999999999781 y[1] (closed_form) = -0.05521560552251377 y[1] (numeric) = -0.05521560552249179 absolute error = 2.19824158875781e-14 relative error = 3.981196199798068e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.99999999999978 y[1] (closed_form) = -0.0547657752046602 y[1] (numeric) = -0.05476577520463817 absolute error = 2.203098814490545e-14 relative error = 4.022765689442986e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.009999999999779 y[1] (closed_form) = -0.05431942999403915 y[1] (numeric) = -0.05431942999401704 absolute error = 2.210037708394452e-14 relative error = 4.068595176048378e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.019999999999778 y[1] (closed_form) = -0.05387654507167212 y[1] (numeric) = -0.05387654507164998 absolute error = 2.214201044736797e-14 relative error = 4.109768066588603e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.029999999999776 y[1] (closed_form) = -0.05343709576744075 y[1] (numeric) = -0.05343709576741856 absolute error = 2.219058270469532e-14 relative error = 4.152655077152612e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.039999999999775 y[1] (closed_form) = -0.05300105755958155 y[1] (numeric) = -0.05300105755955932 absolute error = 2.223221606811876e-14 relative error = 4.194674048367099e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.049999999999774 y[1] (closed_form) = -0.05256840607417615 y[1] (numeric) = -0.05256840607415387 absolute error = 2.228078832544611e-14 relative error = 4.238437112589455e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.059999999999773 y[1] (closed_form) = -0.05213911708463689 y[1] (numeric) = -0.05213911708461458 absolute error = 2.230854390106174e-14 relative error = 4.278657781037701e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.069999999999772 y[1] (closed_form) = -0.0517131665111881 y[1] (numeric) = -0.05171316651116574 absolute error = 2.2364055052293e-14 relative error = 4.324634626165186e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.079999999999771 y[1] (closed_form) = -0.05129053042034298 y[1] (numeric) = -0.05129053042032057 absolute error = 2.241262730962035e-14 relative error = 4.369739818625661e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.08999999999977 y[1] (closed_form) = -0.05087118502437652 y[1] (numeric) = -0.05087118502435407 absolute error = 2.245426067304379e-14 relative error = 4.413944881033168e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.099999999999769 y[1] (closed_form) = -0.05045510668079433 y[1] (numeric) = -0.05045510668077182 absolute error = 2.250977182427505e-14 relative error = 4.461346592067234e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.109999999999768 y[1] (closed_form) = -0.05004227189179757 y[1] (numeric) = -0.05004227189177503 absolute error = 2.254446629379458e-14 relative error = 4.505084489877017e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.119999999999767 y[1] (closed_form) = -0.04963265730374431 y[1] (numeric) = -0.04963265730372173 absolute error = 2.258609965721803e-14 relative error = 4.55065291366419e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.129999999999765 y[1] (closed_form) = -0.04922623970660705 y[1] (numeric) = -0.04922623970658442 absolute error = 2.262773302064147e-14 relative error = 4.596681191881578e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.139999999999764 y[1] (closed_form) = -0.048822996033427 y[1] (numeric) = -0.04882299603340433 absolute error = 2.266936638406492e-14 relative error = 4.64317396018552e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.149999999999763 y[1] (closed_form) = -0.04842290335976484 y[1] (numeric) = -0.04842290335974213 absolute error = 2.271099974748836e-14 relative error = 4.690135900929723e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.159999999999762 y[1] (closed_form) = -0.0480259389031483 y[1] (numeric) = -0.04802593890312554 absolute error = 2.275957200481571e-14 relative error = 4.73901656575916e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.169999999999761 y[1] (closed_form) = -0.04763208002251663 y[1] (numeric) = -0.04763208002249383 absolute error = 2.280120536823915e-14 relative error = 4.786943034497039e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.17999999999976 y[1] (closed_form) = -0.04724130421766207 y[1] (numeric) = -0.04724130421763921 absolute error = 2.285671651947041e-14 relative error = 4.838290749586246e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.189999999999759 y[1] (closed_form) = -0.0468535891286684 y[1] (numeric) = -0.0468535891286455 absolute error = 2.289834988289385e-14 relative error = 4.887213617725391e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.199999999999758 y[1] (closed_form) = -0.04646891253534677 y[1] (numeric) = -0.04646891253532383 absolute error = 2.29399832463173e-14 relative error = 4.936630102731134e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.209999999999757 y[1] (closed_form) = -0.04608725235666882 y[1] (numeric) = -0.04608725235664584 absolute error = 2.298161660974074e-14 relative error = 4.986545179974328e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.219999999999756 y[1] (closed_form) = -0.04570858665019729 y[1] (numeric) = -0.04570858665017428 absolute error = 2.300937218535637e-14 relative error = 5.033927730350651e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.229999999999754 y[1] (closed_form) = -0.04533289361151413 y[1] (numeric) = -0.04533289361149107 absolute error = 2.305794444268372e-14 relative error = 5.086360610527455e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.239999999999753 y[1] (closed_form) = -0.04496015157364631 y[1] (numeric) = -0.04496015157362322 absolute error = 2.309263891220326e-14 relative error = 5.136245787422824e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.249999999999752 y[1] (closed_form) = -0.04459033900648944 y[1] (numeric) = -0.0445903390064663 absolute error = 2.314121116953061e-14 relative error = 5.189736540501017e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.259999999999751 y[1] (closed_form) = -0.04422343451622907 y[1] (numeric) = -0.04422343451620589 absolute error = 2.318284453295405e-14 relative error = 5.242208070575439e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.26999999999975 y[1] (closed_form) = -0.04385941684476023 y[1] (numeric) = -0.043859416844737 absolute error = 2.322447789637749e-14 relative error = 5.295209003480415e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.279999999999749 y[1] (closed_form) = -0.04349826486910473 y[1] (numeric) = -0.04349826486908148 absolute error = 2.325223347199312e-14 relative error = 5.345554251868184e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.289999999999748 y[1] (closed_form) = -0.04313995760082691 y[1] (numeric) = -0.04313995760080361 absolute error = 2.330080572932047e-14 relative error = 5.401212014374776e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.299999999999747 y[1] (closed_form) = -0.04278447418544738 y[1] (numeric) = -0.04278447418542404 absolute error = 2.333550019884001e-14 relative error = 5.454198197620318e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.309999999999746 y[1] (closed_form) = -0.04243179390185529 y[1] (numeric) = -0.04243179390183191 absolute error = 2.337713356226345e-14 relative error = 5.509343681375986e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.319999999999744 y[1] (closed_form) = -0.04208189616171894 y[1] (numeric) = -0.04208189616169552 absolute error = 2.34187669256869e-14 relative error = 5.565045556808935e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.329999999999743 y[1] (closed_form) = -0.04173476050889495 y[1] (numeric) = -0.0417347605088715 absolute error = 2.344652250130252e-14 relative error = 5.617984197203038e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.339999999999742 y[1] (closed_form) = -0.04139036661883604 y[1] (numeric) = -0.04139036661881255 absolute error = 2.349509475862988e-14 relative error = 5.676464520113156e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.349999999999741 y[1] (closed_form) = -0.04104869429799749 y[1] (numeric) = -0.04104869429797395 absolute error = 2.354366701595723e-14 relative error = 5.735545897036188e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.35999999999974 y[1] (closed_form) = -0.04070972348324237 y[1] (numeric) = -0.04070972348321879 absolute error = 2.357836148547676e-14 relative error = 5.791825507039489e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.369999999999739 y[1] (closed_form) = -0.04037343424124571 y[1] (numeric) = -0.04037343424122208 absolute error = 2.362693374280411e-14 relative error = 5.852099081198972e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.379999999999738 y[1] (closed_form) = -0.04003980676789753 y[1] (numeric) = -0.04003980676787387 absolute error = 2.366856710622756e-14 relative error = 5.911259073608755e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.389999999999737 y[1] (closed_form) = -0.03970882138770497 y[1] (numeric) = -0.03970882138768126 absolute error = 2.3710200469651e-14 relative error = 5.971015920656961e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.399999999999736 y[1] (closed_form) = -0.03938045855319342 y[1] (numeric) = -0.03938045855316966 absolute error = 2.375877272697835e-14 relative error = 6.033137652494835e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.409999999999735 y[1] (closed_form) = -0.03905469884430697 y[1] (numeric) = -0.03905469884428319 absolute error = 2.377958940869007e-14 relative error = 6.088790878528676e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.419999999999733 y[1] (closed_form) = -0.03873152296780804 y[1] (numeric) = -0.03873152296778423 absolute error = 2.381428387820961e-14 relative error = 6.148553440050112e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.429999999999732 y[1] (closed_form) = -0.0384109117566763 y[1] (numeric) = -0.03841091175665245 absolute error = 2.384897834772914e-14 relative error = 6.208907119624385e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.439999999999731 y[1] (closed_form) = -0.0380928461695071 y[1] (numeric) = -0.03809284616948322 absolute error = 2.388367281724868e-14 relative error = 6.269857786674731e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.44999999999973 y[1] (closed_form) = -0.03777730728990933 y[1] (numeric) = -0.03777730728988541 absolute error = 2.391836728676822e-14 relative error = 6.331411369056745e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.459999999999729 y[1] (closed_form) = -0.03746427632590275 y[1] (numeric) = -0.0374642763258788 absolute error = 2.395306175628775e-14 relative error = 6.393573853641111e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.469999999999728 y[1] (closed_form) = -0.03715373460931509 y[1] (numeric) = -0.03715373460929109 absolute error = 2.39946951197112e-14 relative error = 6.458218903704854e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.479999999999727 y[1] (closed_form) = -0.03684566359517866 y[1] (numeric) = -0.03684566359515463 absolute error = 2.402938958923073e-14 relative error = 6.52163300768317e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.489999999999726 y[1] (closed_form) = -0.03654004486112689 y[1] (numeric) = -0.03654004486110282 absolute error = 2.407102295265418e-14 relative error = 6.587573453765e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.499999999999725 y[1] (closed_form) = -0.03623686010679052 y[1] (numeric) = -0.0362368601067664 absolute error = 2.411265631607762e-14 relative error = 6.654179265261199e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.509999999999724 y[1] (closed_form) = -0.03593609115319372 y[1] (numeric) = -0.03593609115316956 absolute error = 2.416122857340497e-14 relative error = 6.723388047522166e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.519999999999722 y[1] (closed_form) = -0.03563771994215022 y[1] (numeric) = -0.03563771994212604 absolute error = 2.418204525511669e-14 relative error = 6.785519751086987e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.529999999999721 y[1] (closed_form) = -0.03534172853565937 y[1] (numeric) = -0.03534172853563514 absolute error = 2.422367861854013e-14 relative error = 6.854129557952645e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.53999999999972 y[1] (closed_form) = -0.03504809911530223 y[1] (numeric) = -0.03504809911527797 absolute error = 2.425837308805967e-14 relative error = 6.921451861983667e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.549999999999719 y[1] (closed_form) = -0.03475681398163787 y[1] (numeric) = -0.03475681398161357 absolute error = 2.429306755757921e-14 relative error = 6.98944027793034e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.559999999999718 y[1] (closed_form) = -0.03446785555359974 y[1] (numeric) = -0.03446785555357542 absolute error = 2.432082313319484e-14 relative error = 7.056088271976881e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.569999999999717 y[1] (closed_form) = -0.03418120636789241 y[1] (numeric) = -0.03418120636786805 absolute error = 2.435551760271437e-14 relative error = 7.125411941455744e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.579999999999716 y[1] (closed_form) = -0.03389684907838843 y[1] (numeric) = -0.03389684907836404 absolute error = 2.438327317833e-14 relative error = 7.193374558780455e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.589999999999715 y[1] (closed_form) = -0.03361476645552565 y[1] (numeric) = -0.03361476645550123 absolute error = 2.441796764784954e-14 relative error = 7.264059882776806e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.599999999999714 y[1] (closed_form) = -0.03333494138570491 y[1] (numeric) = -0.03333494138568047 absolute error = 2.444572322346517e-14 relative error = 7.333363194077273e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.609999999999713 y[1] (closed_form) = -0.03305735687068815 y[1] (numeric) = -0.03305735687066369 absolute error = 2.445960101127298e-14 relative error = 7.399139957544891e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.619999999999711 y[1] (closed_form) = -0.03278199602699705 y[1] (numeric) = -0.03278199602697256 absolute error = 2.448735658688861e-14 relative error = 7.469757658051836e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.62999999999971 y[1] (closed_form) = -0.03250884208531215 y[1] (numeric) = -0.03250884208528762 absolute error = 2.452898995031205e-14 relative error = 7.545328709629593e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.639999999999709 y[1] (closed_form) = -0.03223787838987267 y[1] (numeric) = -0.03223787838984811 absolute error = 2.455674552592768e-14 relative error = 7.617357826389107e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.649999999999708 y[1] (closed_form) = -0.03196908839787689 y[1] (numeric) = -0.03196908839785231 absolute error = 2.458450110154331e-14 relative error = 7.69008512084317e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.659999999999707 y[1] (closed_form) = -0.03170245567888324 y[1] (numeric) = -0.03170245567885861 absolute error = 2.462613446496675e-14 relative error = 7.767894927259541e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.669999999999706 y[1] (closed_form) = -0.03143796391421212 y[1] (numeric) = -0.03143796391418748 absolute error = 2.464695114667848e-14 relative error = 7.8398687694709e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.679999999999705 y[1] (closed_form) = -0.03117559689634855 y[1] (numeric) = -0.03117559689632387 absolute error = 2.468511506314996e-14 relative error = 7.918088992881869e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.689999999999704 y[1] (closed_form) = -0.03091533852834556 y[1] (numeric) = -0.03091533852832085 absolute error = 2.471287063876559e-14 relative error = 7.993724738322672e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.699999999999703 y[1] (closed_form) = -0.0306571728232285 y[1] (numeric) = -0.03065717282320375 absolute error = 2.474409566133318e-14 relative error = 8.071225551034808e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.709999999999702 y[1] (closed_form) = -0.03040108390340023 y[1] (numeric) = -0.03040108390337547 absolute error = 2.47649123430449e-14 relative error = 8.146062298875814e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.7199999999997 y[1] (closed_form) = -0.03014705600004734 y[1] (numeric) = -0.03014705600002255 absolute error = 2.478919847170857e-14 relative error = 8.222759287563485e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.729999999999699 y[1] (closed_form) = -0.02989507345254718 y[1] (numeric) = -0.02989507345252237 absolute error = 2.48169540473242e-14 relative error = 8.301352424076314e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.739999999999698 y[1] (closed_form) = -0.02964512070787616 y[1] (numeric) = -0.02964512070785131 absolute error = 2.484817906989178e-14 relative error = 8.381878189920841e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.749999999999697 y[1] (closed_form) = -0.02939718232001887 y[1] (numeric) = -0.02939718231999399 absolute error = 2.487593464550741e-14 relative error = 8.462013255116434e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.759999999999696 y[1] (closed_form) = -0.0291512429493785 y[1] (numeric) = -0.02915124294935359 absolute error = 2.4907159668075e-14 relative error = 8.544115841415954e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.769999999999695 y[1] (closed_form) = -0.02890728736218828 y[1] (numeric) = -0.02890728736216335 absolute error = 2.493144579673867e-14 relative error = 8.624623087031629e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.779999999999694 y[1] (closed_form) = -0.02866530042992416 y[1] (numeric) = -0.02866530042989921 absolute error = 2.495573192540235e-14 relative error = 8.705902799243179e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.789999999999693 y[1] (closed_form) = -0.02842526712871866 y[1] (numeric) = -0.02842526712869367 absolute error = 2.498348750101798e-14 relative error = 8.789183013790087e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.799999999999692 y[1] (closed_form) = -0.02818717253877597 y[1] (numeric) = -0.02818717253875096 absolute error = 2.50112430766336e-14 relative error = 8.873271358532551e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.809999999999691 y[1] (closed_form) = -0.02795100184378838 y[1] (numeric) = -0.02795100184376334 absolute error = 2.503205975834533e-14 relative error = 8.955693215664921e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.819999999999689 y[1] (closed_form) = -0.02771674033035394 y[1] (numeric) = -0.02771674033032888 absolute error = 2.505981533396096e-14 relative error = 9.041400624775759e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.829999999999688 y[1] (closed_form) = -0.02748437338739551 y[1] (numeric) = -0.02748437338737042 absolute error = 2.508410146262463e-14 relative error = 9.126677588410418e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.839999999999687 y[1] (closed_form) = -0.0272538865055812 y[1] (numeric) = -0.02725388650555609 absolute error = 2.511185703824026e-14 relative error = 9.214046236340535e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.849999999999686 y[1] (closed_form) = -0.02702526527674615 y[1] (numeric) = -0.02702526527672102 absolute error = 2.512920427300003e-14 relative error = 9.298411695748426e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.859999999999685 y[1] (closed_form) = -0.02679849539331582 y[1] (numeric) = -0.02679849539329066 absolute error = 2.516042929556761e-14 relative error = 9.388746989819145e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.869999999999684 y[1] (closed_form) = -0.02657356264773063 y[1] (numeric) = -0.02657356264770545 absolute error = 2.518471542423129e-14 relative error = 9.477357536921021e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.879999999999683 y[1] (closed_form) = -0.02635045293187228 y[1] (numeric) = -0.02635045293184707 absolute error = 2.520900155289496e-14 relative error = 9.566819066856845e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.889999999999682 y[1] (closed_form) = -0.02612915223649135 y[1] (numeric) = -0.0261291522364661 absolute error = 2.52436960224145e-14 relative error = 9.661123251890184e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.899999999999681 y[1] (closed_form) = -0.02590964665063661 y[1] (numeric) = -0.02590964665061134 absolute error = 2.526798215107817e-14 relative error = 9.752345329826153e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.90999999999968 y[1] (closed_form) = -0.02569192236108587 y[1] (numeric) = -0.02569192236106057 absolute error = 2.529226827974185e-14 relative error = 9.844443683221871e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.919999999999678 y[1] (closed_form) = -0.02547596565177837 y[1] (numeric) = -0.02547596565175306 absolute error = 2.530961551450162e-14 relative error = 9.934703108195962e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.929999999999677 y[1] (closed_form) = -0.02526176290324885 y[1] (numeric) = -0.02526176290322352 absolute error = 2.533043219621334e-14 relative error = 1.002718309613921e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.939999999999676 y[1] (closed_form) = -0.02504930059206324 y[1] (numeric) = -0.02504930059203788 absolute error = 2.535471832487701e-14 relative error = 1.012192665088244e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.949999999999675 y[1] (closed_form) = -0.02483856529025595 y[1] (numeric) = -0.02483856529023058 absolute error = 2.537900445354069e-14 relative error = 1.021758066819453e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.959999999999674 y[1] (closed_form) = -0.02462954366476902 y[1] (numeric) = -0.02462954366474362 absolute error = 2.540329058220436e-14 relative error = 1.03141539802632e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.969999999999673 y[1] (closed_form) = -0.02442222247689278 y[1] (numeric) = -0.02442222247686736 absolute error = 2.542063781696413e-14 relative error = 1.040881428421021e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.979999999999672 y[1] (closed_form) = -0.0242165885817084 y[1] (numeric) = -0.02421658858168295 absolute error = 2.544492394562781e-14 relative error = 1.050722890211184e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.989999999999671 y[1] (closed_form) = -0.02401262892753207 y[1] (numeric) = -0.0240126289275066 absolute error = 2.546921007429148e-14 relative error = 1.060658962046815e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.99999999999967 y[1] (closed_form) = -0.02381033055536109 y[1] (numeric) = -0.0238103305553356 absolute error = 2.548655730905125e-14 relative error = 1.070399138298092e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.009999999999673 y[1] (closed_form) = -0.02360968059832154 y[1] (numeric) = -0.02360968059829611 absolute error = 2.542063781696413e-14 relative error = 1.076704011776057e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.019999999999676 y[1] (closed_form) = -0.02341066628111815 y[1] (numeric) = -0.02341066628109279 absolute error = 2.535124887792506e-14 relative error = 1.082893095544747e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.02999999999968 y[1] (closed_form) = -0.02321327491948554 y[1] (numeric) = -0.02321327491946026 absolute error = 2.528185993888599e-14 relative error = 1.089112157874116e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.039999999999683 y[1] (closed_form) = -0.02301749391964159 y[1] (numeric) = -0.02301749391961637 absolute error = 2.521594044679887e-14 relative error = 1.095511984703134e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.049999999999686 y[1] (closed_form) = -0.02282331077774257 y[1] (numeric) = -0.02282331077771742 absolute error = 2.515002095471175e-14 relative error = 1.10194446369447e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.05999999999969 y[1] (closed_form) = -0.02263071307934027 y[1] (numeric) = -0.02263071307931518 absolute error = 2.508757090957658e-14 relative error = 1.10856298790157e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.069999999999693 y[1] (closed_form) = -0.02243968849884087 y[1] (numeric) = -0.02243968849881585 absolute error = 2.502165141748947e-14 relative error = 1.115062333364475e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.079999999999696 y[1] (closed_form) = -0.02225022479896588 y[1] (numeric) = -0.02225022479894092 absolute error = 2.49592013723543e-14 relative error = 1.121750526022296e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.0899999999997 y[1] (closed_form) = -0.0220623098302149 y[1] (numeric) = -0.02206230983019 absolute error = 2.490022077417109e-14 relative error = 1.128631633124361e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.099999999999703 y[1] (closed_form) = -0.02187593153033036 y[1] (numeric) = -0.02187593153030552 absolute error = 2.483777072903592e-14 relative error = 1.135392597778022e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.109999999999706 y[1] (closed_form) = -0.02169107792376429 y[1] (numeric) = -0.02169107792373952 absolute error = 2.477879013085271e-14 relative error = 1.142349412875678e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.11999999999971 y[1] (closed_form) = -0.02150773712114694 y[1] (numeric) = -0.02150773712112222 absolute error = 2.471634008571755e-14 relative error = 1.149183661047067e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.129999999999713 y[1] (closed_form) = -0.02132589731875746 y[1] (numeric) = -0.0213258973187328 absolute error = 2.465389004058238e-14 relative error = 1.156054053533201e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.139999999999716 y[1] (closed_form) = -0.02114554679799662 y[1] (numeric) = -0.02114554679797203 absolute error = 2.459837888935112e-14 relative error = 1.163288853409155e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.14999999999972 y[1] (closed_form) = -0.02096667392486147 y[1] (numeric) = -0.02096667392483694 absolute error = 2.452898995031205e-14 relative error = 1.169903726180743e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.159999999999723 y[1] (closed_form) = -0.02078926714942203 y[1] (numeric) = -0.02078926714939756 absolute error = 2.447347879908079e-14 relative error = 1.177217004484989e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.169999999999726 y[1] (closed_form) = -0.02061331500530009 y[1] (numeric) = -0.02061331500527568 absolute error = 2.441449820089758e-14 relative error = 1.184404264652247e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.17999999999973 y[1] (closed_form) = -0.02043880610914998 y[1] (numeric) = -0.02043880610912563 absolute error = 2.435204815576242e-14 relative error = 1.191461381144986e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.189999999999733 y[1] (closed_form) = -0.02026572916014147 y[1] (numeric) = -0.02026572916011717 absolute error = 2.429653700453116e-14 relative error = 1.198897745673887e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.199999999999736 y[1] (closed_form) = -0.02009407293944463 y[1] (numeric) = -0.0200940729394204 absolute error = 2.423755640634795e-14 relative error = 1.20620426129586e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.20999999999974 y[1] (closed_form) = -0.01992382630971694 y[1] (numeric) = -0.01992382630969276 absolute error = 2.418204525511669e-14 relative error = 1.213724958208605e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.219999999999743 y[1] (closed_form) = -0.01975497821459231 y[1] (numeric) = -0.01975497821456819 absolute error = 2.412653410388543e-14 relative error = 1.221288823597082e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.229999999999746 y[1] (closed_form) = -0.01958751767817234 y[1] (numeric) = -0.01958751767814827 absolute error = 2.407102295265418e-14 relative error = 1.228896042272783e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.23999999999975 y[1] (closed_form) = -0.0194214338045196 y[1] (numeric) = -0.01942143380449558 absolute error = 2.401551180142292e-14 relative error = 1.236546798920388e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.249999999999753 y[1] (closed_form) = -0.01925671577715305 y[1] (numeric) = -0.01925671577712909 absolute error = 2.396000065019166e-14 relative error = 1.244241278080179e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.259999999999756 y[1] (closed_form) = -0.01909335285854563 y[1] (numeric) = -0.01909335285852174 absolute error = 2.389755060505649e-14 relative error = 1.251616244779169e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.26999999999976 y[1] (closed_form) = -0.01893133438962394 y[1] (numeric) = -0.0189313343896001 absolute error = 2.384203945382524e-14 relative error = 1.259395611695117e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.279999999999763 y[1] (closed_form) = -0.01877064978927 y[1] (numeric) = -0.01877064978924621 absolute error = 2.378999774954593e-14 relative error = 1.267404059882103e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.289999999999766 y[1] (closed_form) = -0.01861128855382531 y[1] (numeric) = -0.01861128855380157 absolute error = 2.373448659831467e-14 relative error = 1.275273688314094e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.29999999999977 y[1] (closed_form) = -0.01845324025659689 y[1] (numeric) = -0.01845324025657321 absolute error = 2.367897544708342e-14 relative error = 1.283187945196691e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.309999999999773 y[1] (closed_form) = -0.01829649454736565 y[1] (numeric) = -0.01829649454734202 absolute error = 2.363040318975607e-14 relative error = 1.291526260868282e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.319999999999776 y[1] (closed_form) = -0.01814104115189677 y[1] (numeric) = -0.01814104115187318 absolute error = 2.358530037938067e-14 relative error = 1.300107319194007e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.32999999999978 y[1] (closed_form) = -0.01798686987145233 y[1] (numeric) = -0.01798686987142879 absolute error = 2.353672812205332e-14 relative error = 1.308550531040945e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.339999999999783 y[1] (closed_form) = -0.01783397058230612 y[1] (numeric) = -0.01783397058228264 absolute error = 2.348468641777401e-14 relative error = 1.316851247981435e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.349999999999786 y[1] (closed_form) = -0.01768233323526065 y[1] (numeric) = -0.01768233323523722 absolute error = 2.343264471349471e-14 relative error = 1.325200945018232e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.35999999999979 y[1] (closed_form) = -0.01753194785516622 y[1] (numeric) = -0.01753194785514284 absolute error = 2.337713356226345e-14 relative error = 1.333401955982592e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.369999999999793 y[1] (closed_form) = -0.01738280454044237 y[1] (numeric) = -0.01738280454041904 absolute error = 2.332162241103219e-14 relative error = 1.341649004726063e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.379999999999797 y[1] (closed_form) = -0.01723489346260135 y[1] (numeric) = -0.01723489346257808 absolute error = 2.327305015370484e-14 relative error = 1.350344880530066e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.3899999999998 y[1] (closed_form) = -0.01708820486577393 y[1] (numeric) = -0.01708820486575071 absolute error = 2.322100844942554e-14 relative error = 1.358891038106351e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.399999999999803 y[1] (closed_form) = -0.0169427290662373 y[1] (numeric) = -0.01694272906621413 absolute error = 2.316896674514624e-14 relative error = 1.36748729526203e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.409999999999807 y[1] (closed_form) = -0.01679845645194523 y[1] (numeric) = -0.01679845645192211 absolute error = 2.312039448781888e-14 relative error = 1.376340412820583e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.41999999999981 y[1] (closed_form) = -0.01665537748206041 y[1] (numeric) = -0.01665537748203735 absolute error = 2.306488333658763e-14 relative error = 1.384831016975204e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.429999999999813 y[1] (closed_form) = -0.01651348268648909 y[1] (numeric) = -0.01651348268646607 absolute error = 2.301978052621223e-14 relative error = 1.393999131694154e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.439999999999817 y[1] (closed_form) = -0.01637276266541775 y[1] (numeric) = -0.01637276266539477 absolute error = 2.297467771583683e-14 relative error = 1.403225477906885e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.44999999999982 y[1] (closed_form) = -0.01623320808885217 y[1] (numeric) = -0.01623320808882925 absolute error = 2.292957490546144e-14 relative error = 1.412510378722235e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.459999999999823 y[1] (closed_form) = -0.01609480969615864 y[1] (numeric) = -0.01609480969613575 absolute error = 2.288447209508604e-14 relative error = 1.42185415839666e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.469999999999827 y[1] (closed_form) = -0.01595755829560733 y[1] (numeric) = -0.01595755829558449 absolute error = 2.28428387316626e-14 relative error = 1.431474559485118e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.47999999999983 y[1] (closed_form) = -0.01582144476391799 y[1] (numeric) = -0.01582144476389519 absolute error = 2.27977359212872e-14 relative error = 1.440938944670791e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.489999999999833 y[1] (closed_form) = -0.01568646004580778 y[1] (numeric) = -0.01568646004578503 absolute error = 2.274916366395985e-14 relative error = 1.450242030230369e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.499999999999837 y[1] (closed_form) = -0.01555259515354141 y[1] (numeric) = -0.0155525951535187 absolute error = 2.270579557706043e-14 relative error = 1.459936129816264e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.50999999999984 y[1] (closed_form) = -0.01541984116648336 y[1] (numeric) = -0.0154198411664607 absolute error = 2.266416221363698e-14 relative error = 1.469805166534394e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.519999999999843 y[1] (closed_form) = -0.0152881892306525 y[1] (numeric) = -0.01528818923062988 absolute error = 2.261558995630963e-14 relative error = 1.479285062155422e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.529999999999847 y[1] (closed_form) = -0.01515763055827877 y[1] (numeric) = -0.0151576305582562 absolute error = 2.257222186941021e-14 relative error = 1.489165591061444e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.53999999999985 y[1] (closed_form) = -0.01502815642736222 y[1] (numeric) = -0.01502815642733969 absolute error = 2.252711905903482e-14 relative error = 1.498994182547835e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.549999999999853 y[1] (closed_form) = -0.01489975818123412 y[1] (numeric) = -0.01489975818121164 absolute error = 2.24837509721354e-14 relative error = 1.509001065564482e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.559999999999857 y[1] (closed_form) = -0.01477242722812046 y[1] (numeric) = -0.01477242722809802 absolute error = 2.244211760871195e-14 relative error = 1.519189586257811e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.56999999999986 y[1] (closed_form) = -0.01464615504070753 y[1] (numeric) = -0.01464615504068513 absolute error = 2.240048424528851e-14 relative error = 1.529444702929102e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.579999999999863 y[1] (closed_form) = -0.0145209331557098 y[1] (numeric) = -0.01452093315568744 absolute error = 2.236058560534104e-14 relative error = 1.539886270776516e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.589999999999867 y[1] (closed_form) = -0.01439675317343997 y[1] (numeric) = -0.01439675317341766 absolute error = 2.231548279496565e-14 relative error = 1.550035798080823e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.59999999999987 y[1] (closed_form) = -0.01427360675738128 y[1] (numeric) = -0.01427360675735901 absolute error = 2.227558415501818e-14 relative error = 1.560613552947916e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.609999999999873 y[1] (closed_form) = -0.014151485633762 y[1] (numeric) = -0.01415148563373977 absolute error = 2.223395079159474e-14 relative error = 1.571138986181772e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.619999999999877 y[1] (closed_form) = -0.01403038159113214 y[1] (numeric) = -0.01403038159110995 absolute error = 2.219405215164727e-14 relative error = 1.581856630733048e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.62999999999988 y[1] (closed_form) = -0.01391028647994241 y[1] (numeric) = -0.01391028647992026 absolute error = 2.21541535116998e-14 relative error = 1.592645381074245e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.639999999999883 y[1] (closed_form) = -0.01379119221212533 y[1] (numeric) = -0.01379119221210321 absolute error = 2.211598959522831e-14 relative error = 1.603631452238318e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.649999999999887 y[1] (closed_form) = -0.01367309076067855 y[1] (numeric) = -0.01367309076065648 absolute error = 2.207435623180487e-14 relative error = 1.61443792176725e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.65999999999989 y[1] (closed_form) = -0.01355597415925047 y[1] (numeric) = -0.01355597415922843 absolute error = 2.203619231533338e-14 relative error = 1.625570545979249e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.669999999999893 y[1] (closed_form) = -0.01343983450172792 y[1] (numeric) = -0.01343983450170592 absolute error = 2.199802839886189e-14 relative error = 1.636778220448598e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.679999999999897 y[1] (closed_form) = -0.01332466394182615 y[1] (numeric) = -0.01332466394180419 absolute error = 2.19598644823904e-14 relative error = 1.648061412900503e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.6899999999999 y[1] (closed_form) = -0.01321045469268097 y[1] (numeric) = -0.01321045469265905 absolute error = 2.192170056591891e-14 relative error = 1.659420593453476e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.699999999999903 y[1] (closed_form) = -0.01309719902644307 y[1] (numeric) = -0.01309719902642118 absolute error = 2.18852713729234e-14 relative error = 1.670988684583424e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.709999999999907 y[1] (closed_form) = -0.01298488927387456 y[1] (numeric) = -0.01298488927385271 absolute error = 2.184710745645191e-14 relative error = 1.682502406886751e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.71999999999991 y[1] (closed_form) = -0.01287351782394771 y[1] (numeric) = -0.0128735178239259 absolute error = 2.181241298693237e-14 relative error = 1.694363054856401e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.729999999999913 y[1] (closed_form) = -0.0127630771234458 y[1] (numeric) = -0.01276307712342403 absolute error = 2.177424907046088e-14 relative error = 1.706034435101982e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.739999999999917 y[1] (closed_form) = -0.01265355967656624 y[1] (numeric) = -0.0126535596765445 absolute error = 2.173955460094135e-14 relative error = 1.718058408591688e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.74999999999992 y[1] (closed_form) = -0.01254495804452578 y[1] (numeric) = -0.01254495804450408 absolute error = 2.170139068446986e-14 relative error = 1.729889458971897e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.759999999999923 y[1] (closed_form) = -0.012437264845168 y[1] (numeric) = -0.01243726484514634 absolute error = 2.16684309384263e-14 relative error = 1.742218342069373e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.769999999999927 y[1] (closed_form) = -0.01233047275257283 y[1] (numeric) = -0.01233047275255119 absolute error = 2.163373646890676e-14 relative error = 1.754493676196864e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.77999999999993 y[1] (closed_form) = -0.01222457449666832 y[1] (numeric) = -0.01222457449664672 absolute error = 2.16007767228632e-14 relative error = 1.766996203323908e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.789999999999933 y[1] (closed_form) = -0.01211956286284461 y[1] (numeric) = -0.01211956286282304 absolute error = 2.156434752986769e-14 relative error = 1.779300769665407e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.799999999999937 y[1] (closed_form) = -0.0120154306915699 y[1] (numeric) = -0.01201543069154837 absolute error = 2.153138778382413e-14 relative error = 1.791978026965832e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.80999999999994 y[1] (closed_form) = -0.01191217087800876 y[1] (numeric) = -0.01191217087798726 absolute error = 2.149669331430459e-14 relative error = 1.804599139355025e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.819999999999943 y[1] (closed_form) = -0.01180977637164242 y[1] (numeric) = -0.01180977637162096 absolute error = 2.146026412130908e-14 relative error = 1.817160922101741e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.829999999999947 y[1] (closed_form) = -0.01170824017589131 y[1] (numeric) = -0.01170824017586988 absolute error = 2.14290390987415e-14 relative error = 1.830252777259088e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.83999999999995 y[1] (closed_form) = -0.01160755534773967 y[1] (numeric) = -0.01160755534771828 absolute error = 2.139607935269794e-14 relative error = 1.843289022685072e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.849999999999953 y[1] (closed_form) = -0.01150771499736235 y[1] (numeric) = -0.01150771499734099 absolute error = 2.13613848831784e-14 relative error = 1.856266416753855e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.859999999999957 y[1] (closed_form) = -0.01140871228775364 y[1] (numeric) = -0.01140871228773231 absolute error = 2.133015986061082e-14 relative error = 1.869637810351925e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.86999999999996 y[1] (closed_form) = -0.01131054043435834 y[1] (numeric) = -0.01131054043433704 absolute error = 2.129720011456726e-14 relative error = 1.882951591762332e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.879999999999963 y[1] (closed_form) = -0.01121319270470484 y[1] (numeric) = -0.01121319270468358 absolute error = 2.126597509199968e-14 relative error = 1.896513834376259e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.889999999999967 y[1] (closed_form) = -0.01111666241804037 y[1] (numeric) = -0.01111666241801914 absolute error = 2.123301534595612e-14 relative error = 1.910017102929986e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.89999999999997 y[1] (closed_form) = -0.01102094294496831 y[1] (numeric) = -0.01102094294494711 absolute error = 2.120005559991256e-14 relative error = 1.923615402581464e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.909999999999973 y[1] (closed_form) = -0.01092602770708764 y[1] (numeric) = -0.01092602770706648 absolute error = 2.1167095853869e-14 relative error = 1.937309370004438e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.919999999999977 y[1] (closed_form) = -0.01083191017663447 y[1] (numeric) = -0.01083191017661334 absolute error = 2.113587083130142e-14 relative error = 1.951259795053843e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.92999999999998 y[1] (closed_form) = -0.01073858387612561 y[1] (numeric) = -0.0107385838761045 absolute error = 2.110291108525786e-14 relative error = 1.965148415162504e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.939999999999984 y[1] (closed_form) = -0.01064604237800425 y[1] (numeric) = -0.01064604237798318 absolute error = 2.10699513392143e-14 relative error = 1.979134648453669e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.949999999999987 y[1] (closed_form) = -0.01055427930428778 y[1] (numeric) = -0.01055427930426674 absolute error = 2.104046104012269e-14 relative error = 1.993547871295655e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.95999999999999 y[1] (closed_form) = -0.01046328832621754 y[1] (numeric) = -0.01046328832619653 absolute error = 2.100923601755511e-14 relative error = 2.007899941446984e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.969999999999994 y[1] (closed_form) = -0.01037306316391075 y[1] (numeric) = -0.01037306316388977 absolute error = 2.098148044193948e-14 relative error = 2.022688969535711e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.979999999999997 y[1] (closed_form) = -0.01028359758601442 y[1] (numeric) = -0.01028359758599347 absolute error = 2.095372486632385e-14 relative error = 2.037587010874549e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.99 y[1] (closed_form) = -0.01019488540936136 y[1] (numeric) = -0.01019488540934043 absolute error = 2.092249984375627e-14 relative error = 2.052254537804259e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 Finished! diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) / exp ( x ) ; Iterations = 4000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %