##############ECHO OF PROBLEM################# ##############temp/add_lin_linpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + ( 0.3 * x + 0.1 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(-5.0); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=false; glob_h=c(0.001); glob_display_interval=c(0.01); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(c(0.4) * c(x) * c(x) / c(2.0) + c(0.3)* c(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = 3.5 y[1] (numeric) = 3.5 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.989999999999997 y[1] (closed_form) = 3.483019999999994 y[1] (numeric) = 3.48302 absolute error = 5.773159728050814e-15 relative error = 1.657515526195894e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.979999999999993 y[1] (closed_form) = 3.466079999999988 y[1] (numeric) = 3.46608 absolute error = 1.199040866595169e-14 relative error = 3.45935716023627e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.96999999999999 y[1] (closed_form) = 3.449179999999983 y[1] (numeric) = 3.449180000000001 absolute error = 1.731947918415244e-14 relative error = 5.021332370056804e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.959999999999987 y[1] (closed_form) = 3.432319999999978 y[1] (numeric) = 3.43232 absolute error = 2.264854970235319e-14 relative error = 6.598612513504959e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.949999999999983 y[1] (closed_form) = 3.415499999999972 y[1] (numeric) = 3.415500000000001 absolute error = 2.842170943040401e-14 relative error = 8.321390552014123e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.93999999999998 y[1] (closed_form) = 3.398719999999966 y[1] (numeric) = 3.39872 absolute error = 3.419486915845482e-14 relative error = 1.006110216742043e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.929999999999977 y[1] (closed_form) = 3.381979999999961 y[1] (numeric) = 3.381980000000001 absolute error = 3.952393967665557e-14 relative error = 1.168662726469584e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.919999999999973 y[1] (closed_form) = 3.365279999999956 y[1] (numeric) = 3.36528 absolute error = 4.440892098500626e-14 relative error = 1.319620387753971e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.90999999999997 y[1] (closed_form) = 3.34861999999995 y[1] (numeric) = 3.348620000000001 absolute error = 5.10702591327572e-14 relative error = 1.525113602999384e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.899999999999967 y[1] (closed_form) = 3.331999999999945 y[1] (numeric) = 3.332000000000001 absolute error = 5.595524044110789e-14 relative error = 1.679328944811189e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.889999999999963 y[1] (closed_form) = 3.315419999999939 y[1] (numeric) = 3.315420000000001 absolute error = 6.217248937900877e-14 relative error = 1.875252287161503e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.87999999999996 y[1] (closed_form) = 3.298879999999934 y[1] (numeric) = 3.298880000000001 absolute error = 6.705747068735946e-14 relative error = 2.032734464041154e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.869999999999957 y[1] (closed_form) = 3.282379999999929 y[1] (numeric) = 3.282380000000002 absolute error = 7.283063041541027e-14 relative error = 2.218836040172431e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.859999999999953 y[1] (closed_form) = 3.265919999999923 y[1] (numeric) = 3.265920000000001 absolute error = 7.815970093361102e-14 relative error = 2.393190921198708e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.84999999999995 y[1] (closed_form) = 3.249499999999918 y[1] (numeric) = 3.249500000000002 absolute error = 8.43769498715119e-14 relative error = 2.59661332117292e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.839999999999947 y[1] (closed_form) = 3.233119999999913 y[1] (numeric) = 3.233120000000002 absolute error = 8.926193117986259e-14 relative error = 2.760860443777682e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.829999999999943 y[1] (closed_form) = 3.216779999999908 y[1] (numeric) = 3.216780000000003 absolute error = 9.50350909079134e-14 relative error = 2.954354693448608e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.81999999999994 y[1] (closed_form) = 3.200479999999902 y[1] (numeric) = 3.200480000000002 absolute error = 1.003641614261142e-13 relative error = 3.135909658117446e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.809999999999937 y[1] (closed_form) = 3.184219999999897 y[1] (numeric) = 3.184220000000003 absolute error = 1.06137321154165e-13 relative error = 3.333228267964161e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.799999999999933 y[1] (closed_form) = 3.167999999999892 y[1] (numeric) = 3.168000000000003 absolute error = 1.110223024625157e-13 relative error = 3.504491870660336e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.78999999999993 y[1] (closed_form) = 3.151819999999887 y[1] (numeric) = 3.151820000000003 absolute error = 1.163513729807164e-13 relative error = 3.691561478152959e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.779999999999927 y[1] (closed_form) = 3.135679999999882 y[1] (numeric) = 3.135680000000003 absolute error = 1.216804434989172e-13 relative error = 3.880512153629253e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.769999999999923 y[1] (closed_form) = 3.119579999999877 y[1] (numeric) = 3.119580000000004 absolute error = 1.27453603226968e-13 relative error = 4.08560137027975e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.75999999999992 y[1] (closed_form) = 3.103519999999872 y[1] (numeric) = 3.103520000000004 absolute error = 1.323385845353187e-13 relative error = 4.264144730348898e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.749999999999917 y[1] (closed_form) = 3.087499999999866 y[1] (numeric) = 3.087500000000005 absolute error = 1.385558334732195e-13 relative error = 4.487638331116617e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.739999999999913 y[1] (closed_form) = 3.071519999999861 y[1] (numeric) = 3.071520000000005 absolute error = 1.438849039914203e-13 relative error = 4.684485335971336e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.72999999999991 y[1] (closed_form) = 3.055579999999856 y[1] (numeric) = 3.055580000000005 absolute error = 1.49213974509621e-13 relative error = 4.883327371877943e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.719999999999906 y[1] (closed_form) = 3.039679999999851 y[1] (numeric) = 3.039680000000005 absolute error = 1.540989558179717e-13 relative error = 5.069578239090275e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.709999999999903 y[1] (closed_form) = 3.023819999999847 y[1] (numeric) = 3.023820000000006 absolute error = 1.589839371263224e-13 relative error = 5.257718287673554e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.6999999999999 y[1] (closed_form) = 3.007999999999842 y[1] (numeric) = 3.008000000000006 absolute error = 1.643130076445232e-13 relative error = 5.462533498820871e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.689999999999896 y[1] (closed_form) = 2.992219999999837 y[1] (numeric) = 2.992220000000007 absolute error = 1.696420781627239e-13 relative error = 5.669438683075882e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.679999999999893 y[1] (closed_form) = 2.976479999999832 y[1] (numeric) = 2.976480000000007 absolute error = 1.754152378907747e-13 relative error = 5.893378685251863e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.66999999999989 y[1] (closed_form) = 2.960779999999827 y[1] (numeric) = 2.960780000000008 absolute error = 1.803002191991254e-13 relative error = 6.08961892471362e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.659999999999886 y[1] (closed_form) = 2.945119999999823 y[1] (numeric) = 2.945120000000008 absolute error = 1.856292897173262e-13 relative error = 6.302944861918609e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.649999999999883 y[1] (closed_form) = 2.929499999999818 y[1] (numeric) = 2.929500000000008 absolute error = 1.905142710256769e-13 relative error = 6.503303329089903e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.63999999999988 y[1] (closed_form) = 2.913919999999813 y[1] (numeric) = 2.913920000000009 absolute error = 1.962874307537277e-13 relative error = 6.736198342910591e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.629999999999876 y[1] (closed_form) = 2.898379999999809 y[1] (numeric) = 2.898380000000009 absolute error = 2.007283228522283e-13 relative error = 6.925535052416922e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.619999999999873 y[1] (closed_form) = 2.882879999999804 y[1] (numeric) = 2.88288000000001 absolute error = 2.060573933704291e-13 relative error = 7.147622980160224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.60999999999987 y[1] (closed_form) = 2.867419999999798 y[1] (numeric) = 2.86742000000001 absolute error = 2.118305530984799e-13 relative error = 7.387496533416617e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.599999999999866 y[1] (closed_form) = 2.851999999999794 y[1] (numeric) = 2.852000000000011 absolute error = 2.167155344068306e-13 relative error = 7.598721402764593e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.589999999999863 y[1] (closed_form) = 2.836619999999789 y[1] (numeric) = 2.836620000000011 absolute error = 2.220446049250313e-13 relative error = 7.827788174836524e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.57999999999986 y[1] (closed_form) = 2.821279999999785 y[1] (numeric) = 2.821280000000012 absolute error = 2.273736754432321e-13 relative error = 8.059238198379793e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.569999999999856 y[1] (closed_form) = 2.805979999999781 y[1] (numeric) = 2.805980000000012 absolute error = 2.318145675417327e-13 relative error = 8.261447606246331e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.559999999999853 y[1] (closed_form) = 2.790719999999776 y[1] (numeric) = 2.790720000000013 absolute error = 2.366995488500834e-13 relative error = 8.48166598046749e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.54999999999985 y[1] (closed_form) = 2.775499999999772 y[1] (numeric) = 2.775500000000013 absolute error = 2.415845301584341e-13 relative error = 8.704180513725596e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.539999999999846 y[1] (closed_form) = 2.760319999999767 y[1] (numeric) = 2.760320000000014 absolute error = 2.469136006766348e-13 relative error = 8.945107838100497e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.529999999999843 y[1] (closed_form) = 2.745179999999762 y[1] (numeric) = 2.745180000000015 absolute error = 2.522426711948356e-13 relative error = 9.188565820633161e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.51999999999984 y[1] (closed_form) = 2.730079999999758 y[1] (numeric) = 2.730080000000016 absolute error = 2.571276525031863e-13 relative error = 9.418319335082086e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.509999999999836 y[1] (closed_form) = 2.715019999999754 y[1] (numeric) = 2.715020000000016 absolute error = 2.620126338115369e-13 relative error = 9.650486324651777e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.499999999999833 y[1] (closed_form) = 2.69999999999975 y[1] (numeric) = 2.700000000000017 absolute error = 2.673417043297377e-13 relative error = 9.901544604806017e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.48999999999983 y[1] (closed_form) = 2.685019999999745 y[1] (numeric) = 2.685020000000017 absolute error = 2.722266856380884e-13 relative error = 1.013872096439186e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.479999999999826 y[1] (closed_form) = 2.670079999999741 y[1] (numeric) = 2.670080000000018 absolute error = 2.771116669464391e-13 relative error = 1.037840315445477e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.469999999999823 y[1] (closed_form) = 2.655179999999737 y[1] (numeric) = 2.655180000000019 absolute error = 2.819966482547898e-13 relative error = 1.062062264158429e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.45999999999982 y[1] (closed_form) = 2.640319999999732 y[1] (numeric) = 2.64032000000002 absolute error = 2.877698079828406e-13 relative error = 1.089905041748234e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.449999999999816 y[1] (closed_form) = 2.625499999999728 y[1] (numeric) = 2.62550000000002 absolute error = 2.922107000813412e-13 relative error = 1.112971624762413e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.439999999999813 y[1] (closed_form) = 2.610719999999724 y[1] (numeric) = 2.610720000000021 absolute error = 2.97539770599542e-13 relative error = 1.139684725284877e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.42999999999981 y[1] (closed_form) = 2.59597999999972 y[1] (numeric) = 2.595980000000022 absolute error = 3.019806626980426e-13 relative error = 1.163262670352141e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.419999999999806 y[1] (closed_form) = 2.581279999999716 y[1] (numeric) = 2.581280000000023 absolute error = 3.068656440063933e-13 relative error = 1.188811922791898e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.409999999999803 y[1] (closed_form) = 2.566619999999712 y[1] (numeric) = 2.566620000000023 absolute error = 3.113065361048939e-13 relative error = 1.21290466101304e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.3999999999998 y[1] (closed_form) = 2.551999999999707 y[1] (numeric) = 2.552000000000024 absolute error = 3.170796958329447e-13 relative error = 1.24247529715118e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.389999999999796 y[1] (closed_form) = 2.537419999999703 y[1] (numeric) = 2.537420000000025 absolute error = 3.215205879314453e-13 relative error = 1.267116157086659e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.379999999999793 y[1] (closed_form) = 2.522879999999699 y[1] (numeric) = 2.522880000000026 absolute error = 3.268496584496461e-13 relative error = 1.295541834925502e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.36999999999979 y[1] (closed_form) = 2.508379999999695 y[1] (numeric) = 2.508380000000026 absolute error = 3.312905505481467e-13 relative error = 1.32073509814377e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.359999999999786 y[1] (closed_form) = 2.493919999999691 y[1] (numeric) = 2.493920000000028 absolute error = 3.361755318564974e-13 relative error = 1.347980415797375e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.349999999999783 y[1] (closed_form) = 2.479499999999688 y[1] (numeric) = 2.479500000000028 absolute error = 3.40616423954998e-13 relative error = 1.373730284150195e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.33999999999978 y[1] (closed_form) = 2.465119999999684 y[1] (numeric) = 2.465120000000029 absolute error = 3.455014052633487e-13 relative error = 1.401560188807819e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.329999999999776 y[1] (closed_form) = 2.45077999999968 y[1] (numeric) = 2.45078000000003 absolute error = 3.499422973618493e-13 relative error = 1.427881316812995e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.319999999999773 y[1] (closed_form) = 2.436479999999676 y[1] (numeric) = 2.436480000000031 absolute error = 3.552713678800501e-13 relative error = 1.458133733419102e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.30999999999977 y[1] (closed_form) = 2.422219999999672 y[1] (numeric) = 2.422220000000032 absolute error = 3.597122599785507e-13 relative error = 1.485051977023555e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.299999999999766 y[1] (closed_form) = 2.407999999999668 y[1] (numeric) = 2.408000000000033 absolute error = 3.645972412869014e-13 relative error = 1.514108144879367e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.289999999999763 y[1] (closed_form) = 2.393819999999664 y[1] (numeric) = 2.393820000000034 absolute error = 3.694822225952521e-13 relative error = 1.543483731422179e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.27999999999976 y[1] (closed_form) = 2.37967999999966 y[1] (numeric) = 2.379680000000035 absolute error = 3.743672039036028e-13 relative error = 1.573182965372051e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.269999999999756 y[1] (closed_form) = 2.365579999999657 y[1] (numeric) = 2.365580000000036 absolute error = 3.788080960021034e-13 relative error = 1.601332848612849e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.259999999999753 y[1] (closed_form) = 2.351519999999653 y[1] (numeric) = 2.351520000000036 absolute error = 3.83248988100604e-13 relative error = 1.629792594154677e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.24999999999975 y[1] (closed_form) = 2.33749999999965 y[1] (numeric) = 2.337500000000037 absolute error = 3.876898801991047e-13 relative error = 1.658566332402835e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.239999999999746 y[1] (closed_form) = 2.323519999999646 y[1] (numeric) = 2.323520000000038 absolute error = 3.925748615074554e-13 relative error = 1.689569538921615e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.229999999999743 y[1] (closed_form) = 2.309579999999642 y[1] (numeric) = 2.309580000000039 absolute error = 3.97459842815806e-13 relative error = 1.720918274386978e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.21999999999974 y[1] (closed_form) = 2.295679999999638 y[1] (numeric) = 2.29568000000004 absolute error = 4.019007349143067e-13 relative error = 1.750682738510463e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.209999999999736 y[1] (closed_form) = 2.281819999999635 y[1] (numeric) = 2.281820000000041 absolute error = 4.067857162226574e-13 relative error = 1.782724825896532e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.199999999999733 y[1] (closed_form) = 2.267999999999631 y[1] (numeric) = 2.268000000000042 absolute error = 4.11226608321158e-13 relative error = 1.813168467024801e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.189999999999729 y[1] (closed_form) = 2.254219999999628 y[1] (numeric) = 2.254220000000044 absolute error = 4.156675004196586e-13 relative error = 1.843952677288495e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.179999999999726 y[1] (closed_form) = 2.240479999999624 y[1] (numeric) = 2.240480000000045 absolute error = 4.205524817280093e-13 relative error = 1.877064208241448e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.169999999999723 y[1] (closed_form) = 2.226779999999621 y[1] (numeric) = 2.226780000000046 absolute error = 4.249933738265099e-13 relative error = 1.908555734408349e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.159999999999719 y[1] (closed_form) = 2.213119999999617 y[1] (numeric) = 2.213120000000047 absolute error = 4.298783551348606e-13 relative error = 1.942408704159444e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.149999999999716 y[1] (closed_form) = 2.199499999999614 y[1] (numeric) = 2.199500000000048 absolute error = 4.343192472333612e-13 relative error = 1.974627175419129e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.139999999999713 y[1] (closed_form) = 2.18591999999961 y[1] (numeric) = 2.185920000000049 absolute error = 4.387601393318619e-13 relative error = 2.007210416355311e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.129999999999709 y[1] (closed_form) = 2.172379999999607 y[1] (numeric) = 2.172380000000051 absolute error = 4.432010314303625e-13 relative error = 2.040163467857569e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.119999999999706 y[1] (closed_form) = 2.158879999999604 y[1] (numeric) = 2.158880000000051 absolute error = 4.476419235288631e-13 relative error = 2.073491456352114e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.109999999999703 y[1] (closed_form) = 2.1454199999996 y[1] (numeric) = 2.145420000000053 absolute error = 4.525269048372138e-13 relative error = 2.109269536208752e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.099999999999699 y[1] (closed_form) = 2.131999999999597 y[1] (numeric) = 2.132000000000054 absolute error = 4.565237077258644e-13 relative error = 2.141293188208023e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.089999999999696 y[1] (closed_form) = 2.118619999999594 y[1] (numeric) = 2.118620000000055 absolute error = 4.614086890342151e-13 relative error = 2.177873752887745e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.079999999999693 y[1] (closed_form) = 2.105279999999591 y[1] (numeric) = 2.105280000000056 absolute error = 4.658495811327157e-13 relative error = 2.212767808238364e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.069999999999689 y[1] (closed_form) = 2.091979999999587 y[1] (numeric) = 2.091980000000058 absolute error = 4.707345624410664e-13 relative error = 2.250186724735223e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.059999999999686 y[1] (closed_form) = 2.078719999999584 y[1] (numeric) = 2.078720000000059 absolute error = 4.742872761198669e-13 relative error = 2.281631369881281e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.049999999999683 y[1] (closed_form) = 2.065499999999581 y[1] (numeric) = 2.065500000000061 absolute error = 4.791722574282176e-13 relative error = 2.319885051698449e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.039999999999679 y[1] (closed_form) = 2.052319999999578 y[1] (numeric) = 2.052320000000061 absolute error = 4.831690603168681e-13 relative error = 2.354257914540459e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.029999999999676 y[1] (closed_form) = 2.039179999999575 y[1] (numeric) = 2.039180000000063 absolute error = 4.880540416252188e-13 relative error = 2.393383819110233e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.019999999999673 y[1] (closed_form) = 2.026079999999572 y[1] (numeric) = 2.026080000000064 absolute error = 4.920508445138694e-13 relative error = 2.428585468066283e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.009999999999669 y[1] (closed_form) = 2.013019999999569 y[1] (numeric) = 2.013020000000066 absolute error = 4.969358258222201e-13 relative error = 2.468608487855692e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.999999999999666 y[1] (closed_form) = 1.999999999999567 y[1] (numeric) = 2.000000000000067 absolute error = 5.000444502911705e-13 relative error = 2.500222251456394e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.989999999999668 y[1] (closed_form) = 1.987019999999569 y[1] (numeric) = 1.987020000000068 absolute error = 4.980460488468452e-13 relative error = 2.506497412441511e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.979999999999669 y[1] (closed_form) = 1.974079999999572 y[1] (numeric) = 1.974080000000069 absolute error = 4.969358258222201e-13 relative error = 2.517303380928472e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.96999999999967 y[1] (closed_form) = 1.961179999999575 y[1] (numeric) = 1.96118000000007 absolute error = 4.953815135877448e-13 relative error = 2.52593598541619e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.959999999999671 y[1] (closed_form) = 1.948319999999578 y[1] (numeric) = 1.948320000000072 absolute error = 4.942712905631197e-13 relative error = 2.536910212712629e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.949999999999672 y[1] (closed_form) = 1.935499999999581 y[1] (numeric) = 1.935500000000073 absolute error = 4.922728891187944e-13 relative error = 2.54338873220822e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.939999999999673 y[1] (closed_form) = 1.922719999999583 y[1] (numeric) = 1.922720000000074 absolute error = 4.913847106990943e-13 relative error = 2.555674828884085e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.929999999999674 y[1] (closed_form) = 1.909979999999586 y[1] (numeric) = 1.909980000000076 absolute error = 4.898303984646191e-13 relative error = 2.564583914306565e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.919999999999675 y[1] (closed_form) = 1.897279999999589 y[1] (numeric) = 1.897280000000077 absolute error = 4.882760862301438e-13 relative error = 2.573558390064986e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.909999999999676 y[1] (closed_form) = 1.884619999999591 y[1] (numeric) = 1.884620000000078 absolute error = 4.867217739956686e-13 relative error = 2.582599006673887e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.899999999999678 y[1] (closed_form) = 1.871999999999594 y[1] (numeric) = 1.872000000000079 absolute error = 4.853895063661184e-13 relative error = 2.592892662212734e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.889999999999679 y[1] (closed_form) = 1.859419999999596 y[1] (numeric) = 1.859420000000081 absolute error = 4.842792833414933e-13 relative error = 2.60446420572866e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.87999999999968 y[1] (closed_form) = 1.846879999999599 y[1] (numeric) = 1.846880000000082 absolute error = 4.829470157119431e-13 relative error = 2.614934460885645e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.869999999999681 y[1] (closed_form) = 1.834379999999602 y[1] (numeric) = 1.834380000000083 absolute error = 4.813927034774679e-13 relative error = 2.624280157206099e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.859999999999682 y[1] (closed_form) = 1.821919999999604 y[1] (numeric) = 1.821920000000085 absolute error = 4.802824804528427e-13 relative error = 2.636133751498128e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.849999999999683 y[1] (closed_form) = 1.809499999999607 y[1] (numeric) = 1.809500000000086 absolute error = 4.787281682183675e-13 relative error = 2.645637845915841e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.839999999999684 y[1] (closed_form) = 1.79711999999961 y[1] (numeric) = 1.797120000000087 absolute error = 4.773959005888173e-13 relative error = 2.656449767343978e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.829999999999685 y[1] (closed_form) = 1.784779999999612 y[1] (numeric) = 1.784780000000089 absolute error = 4.762856775641922e-13 relative error = 2.668596003789238e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.819999999999686 y[1] (closed_form) = 1.772479999999615 y[1] (numeric) = 1.77248000000009 absolute error = 4.747313653297169e-13 relative error = 2.678345399270063e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.809999999999687 y[1] (closed_form) = 1.760219999999618 y[1] (numeric) = 1.760220000000091 absolute error = 4.736211423050918e-13 relative error = 2.690692881033022e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.799999999999689 y[1] (closed_form) = 1.74799999999962 y[1] (numeric) = 1.748000000000092 absolute error = 4.718447854656915e-13 relative error = 2.699340877950767e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.78999999999969 y[1] (closed_form) = 1.735819999999623 y[1] (numeric) = 1.735820000000094 absolute error = 4.707345624410664e-13 relative error = 2.71188580867353e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.779999999999691 y[1] (closed_form) = 1.723679999999626 y[1] (numeric) = 1.723680000000094 absolute error = 4.689582056016661e-13 relative error = 2.720680205152743e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.769999999999692 y[1] (closed_form) = 1.711579999999628 y[1] (numeric) = 1.711580000000096 absolute error = 4.68292071786891e-13 relative error = 2.73602210698298e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.759999999999693 y[1] (closed_form) = 1.699519999999631 y[1] (numeric) = 1.699520000000097 absolute error = 4.662936703425657e-13 relative error = 2.743678628922679e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.749999999999694 y[1] (closed_form) = 1.687499999999633 y[1] (numeric) = 1.687500000000099 absolute error = 4.654054919228656e-13 relative error = 2.757958470654618e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.739999999999695 y[1] (closed_form) = 1.675519999999636 y[1] (numeric) = 1.675520000000099 absolute error = 4.638511796883904e-13 relative error = 2.768401330264582e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.729999999999696 y[1] (closed_form) = 1.663579999999638 y[1] (numeric) = 1.663580000000101 absolute error = 4.627409566637652e-13 relative error = 2.781597258105206e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.719999999999697 y[1] (closed_form) = 1.651679999999641 y[1] (numeric) = 1.651680000000102 absolute error = 4.6118664442929e-13 relative error = 2.792227576948261e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.709999999999698 y[1] (closed_form) = 1.639819999999643 y[1] (numeric) = 1.639820000000103 absolute error = 4.600764214046649e-13 relative error = 2.805651970367266e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.6999999999997 y[1] (closed_form) = 1.627999999999646 y[1] (numeric) = 1.628000000000104 absolute error = 4.585221091701897e-13 relative error = 2.816474872053375e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.689999999999701 y[1] (closed_form) = 1.616219999999648 y[1] (numeric) = 1.616220000000106 absolute error = 4.576339307504895e-13 relative error = 2.831507658305114e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.679999999999702 y[1] (closed_form) = 1.604479999999651 y[1] (numeric) = 1.604480000000107 absolute error = 4.560796185160143e-13 relative error = 2.84253850790358e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.669999999999703 y[1] (closed_form) = 1.592779999999653 y[1] (numeric) = 1.592780000000108 absolute error = 4.549693954913892e-13 relative error = 2.856448445431813e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.659999999999704 y[1] (closed_form) = 1.581119999999656 y[1] (numeric) = 1.581120000000109 absolute error = 4.534150832569139e-13 relative error = 2.867682928917556e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.649999999999705 y[1] (closed_form) = 1.569499999999658 y[1] (numeric) = 1.56950000000011 absolute error = 4.520828156273637e-13 relative error = 2.880425712822314e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.639999999999706 y[1] (closed_form) = 1.55791999999966 y[1] (numeric) = 1.557920000000111 absolute error = 4.509725926027386e-13 relative error = 2.894709565336069e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.629999999999707 y[1] (closed_form) = 1.546379999999663 y[1] (numeric) = 1.546380000000113 absolute error = 4.496403249731884e-13 relative error = 2.907696199985039e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.619999999999708 y[1] (closed_form) = 1.534879999999665 y[1] (numeric) = 1.534880000000114 absolute error = 4.485301019485632e-13 relative error = 2.922248657541052e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.609999999999709 y[1] (closed_form) = 1.523419999999668 y[1] (numeric) = 1.523420000000115 absolute error = 4.474198789239381e-13 relative error = 2.936943711675281e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.599999999999711 y[1] (closed_form) = 1.51199999999967 y[1] (numeric) = 1.512000000000116 absolute error = 4.463096558993129e-13 relative error = 2.951783438488164e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.589999999999712 y[1] (closed_form) = 1.500619999999673 y[1] (numeric) = 1.500620000000117 absolute error = 4.445332990599127e-13 relative error = 2.962330896962653e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.579999999999713 y[1] (closed_form) = 1.489279999999675 y[1] (numeric) = 1.489280000000119 absolute error = 4.438671652451376e-13 relative error = 2.980414463668581e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.569999999999714 y[1] (closed_form) = 1.477979999999677 y[1] (numeric) = 1.47798000000012 absolute error = 4.423128530106624e-13 relative error = 2.992684968746255e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.559999999999715 y[1] (closed_form) = 1.46671999999968 y[1] (numeric) = 1.466720000000121 absolute error = 4.412026299860372e-13 relative error = 3.008090364801281e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.549999999999716 y[1] (closed_form) = 1.455499999999682 y[1] (numeric) = 1.455500000000122 absolute error = 4.39426273146637e-13 relative error = 3.019074360334819e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.539999999999717 y[1] (closed_form) = 1.444319999999685 y[1] (numeric) = 1.444320000000123 absolute error = 4.387601393318619e-13 relative error = 3.037831916278648e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.529999999999718 y[1] (closed_form) = 1.433179999999687 y[1] (numeric) = 1.433180000000124 absolute error = 4.369837824924616e-13 relative error = 3.049050241369242e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.519999999999719 y[1] (closed_form) = 1.422079999999689 y[1] (numeric) = 1.422080000000126 absolute error = 4.363176486776865e-13 relative error = 3.068165283794033e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.50999999999972 y[1] (closed_form) = 1.411019999999692 y[1] (numeric) = 1.411020000000126 absolute error = 4.347633364432113e-13 relative error = 3.081198965594438e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.499999999999722 y[1] (closed_form) = 1.399999999999694 y[1] (numeric) = 1.400000000000128 absolute error = 4.338751580235112e-13 relative error = 3.099108271597186e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.489999999999723 y[1] (closed_form) = 1.389019999999696 y[1] (numeric) = 1.389020000000128 absolute error = 4.32320845789036e-13 relative error = 3.112416277585136e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.479999999999724 y[1] (closed_form) = 1.378079999999699 y[1] (numeric) = 1.37808000000013 absolute error = 4.312106227644108e-13 relative error = 3.129068143826956e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.469999999999725 y[1] (closed_form) = 1.367179999999701 y[1] (numeric) = 1.367180000000131 absolute error = 4.296563105299356e-13 relative error = 3.142646253821952e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.459999999999726 y[1] (closed_form) = 1.356319999999703 y[1] (numeric) = 1.356320000000132 absolute error = 4.289901767151605e-13 relative error = 3.162897964457166e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.449999999999727 y[1] (closed_form) = 1.345499999999705 y[1] (numeric) = 1.345500000000133 absolute error = 4.274358644806853e-13 relative error = 3.17678085827409e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.439999999999728 y[1] (closed_form) = 1.334719999999708 y[1] (numeric) = 1.334720000000134 absolute error = 4.265476860609851e-13 relative error = 3.19578403006682e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.429999999999729 y[1] (closed_form) = 1.32397999999971 y[1] (numeric) = 1.323980000000135 absolute error = 4.249933738265099e-13 relative error = 3.209968230838857e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.41999999999973 y[1] (closed_form) = 1.313279999999712 y[1] (numeric) = 1.313280000000136 absolute error = 4.238831508018848e-13 relative error = 3.227667754035526e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.409999999999731 y[1] (closed_form) = 1.302619999999715 y[1] (numeric) = 1.302620000000137 absolute error = 4.227729277772596e-13 relative error = 3.245558395981577e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.399999999999733 y[1] (closed_form) = 1.291999999999717 y[1] (numeric) = 1.292000000000138 absolute error = 4.214406601477094e-13 relative error = 3.261924614147073e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.389999999999734 y[1] (closed_form) = 1.281419999999719 y[1] (numeric) = 1.281420000000139 absolute error = 4.203304371230843e-13 relative error = 3.280192576385388e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.379999999999735 y[1] (closed_form) = 1.270879999999721 y[1] (numeric) = 1.270880000000141 absolute error = 4.194422587033841e-13 relative error = 3.30040805350211e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.369999999999736 y[1] (closed_form) = 1.260379999999723 y[1] (numeric) = 1.260380000000142 absolute error = 4.18332035678759e-13 relative error = 3.319094524499364e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.359999999999737 y[1] (closed_form) = 1.249919999999725 y[1] (numeric) = 1.249920000000143 absolute error = 4.172218126541338e-13 relative error = 3.337988132474282e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.349999999999738 y[1] (closed_form) = 1.239499999999728 y[1] (numeric) = 1.239500000000144 absolute error = 4.161115896295087e-13 relative error = 3.357092292292053e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.339999999999739 y[1] (closed_form) = 1.22911999999973 y[1] (numeric) = 1.229120000000145 absolute error = 4.147793219999585e-13 relative error = 3.37460396055755e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.32999999999974 y[1] (closed_form) = 1.218779999999732 y[1] (numeric) = 1.218780000000146 absolute error = 4.141131881851834e-13 relative error = 3.397768163124391e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.319999999999741 y[1] (closed_form) = 1.208479999999734 y[1] (numeric) = 1.208480000000147 absolute error = 4.125588759507082e-13 relative error = 3.413865979998005e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.309999999999742 y[1] (closed_form) = 1.198219999999737 y[1] (numeric) = 1.198220000000148 absolute error = 4.11448652926083e-13 relative error = 3.433832292285001e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.299999999999744 y[1] (closed_form) = 1.187999999999739 y[1] (numeric) = 1.188000000000149 absolute error = 4.101163852965328e-13 relative error = 3.45215812539245e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.289999999999745 y[1] (closed_form) = 1.177819999999741 y[1] (numeric) = 1.17782000000015 absolute error = 4.094502514817577e-13 relative error = 3.476339775872781e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.279999999999746 y[1] (closed_form) = 1.167679999999743 y[1] (numeric) = 1.167680000000151 absolute error = 4.076738946423575e-13 relative error = 3.491315211722794e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.269999999999747 y[1] (closed_form) = 1.157579999999745 y[1] (numeric) = 1.157580000000152 absolute error = 4.074518500374325e-13 relative error = 3.519859102934762e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.259999999999748 y[1] (closed_form) = 1.147519999999747 y[1] (numeric) = 1.147520000000153 absolute error = 4.058975378029572e-13 relative error = 3.537171794853656e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.249999999999749 y[1] (closed_form) = 1.137499999999749 y[1] (numeric) = 1.137500000000154 absolute error = 4.050093593832571e-13 relative error = 3.560521840732715e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.23999999999975 y[1] (closed_form) = 1.127519999999751 y[1] (numeric) = 1.127520000000155 absolute error = 4.034550471487819e-13 relative error = 3.578251801731861e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.229999999999751 y[1] (closed_form) = 1.117579999999753 y[1] (numeric) = 1.117580000000156 absolute error = 4.027889133340068e-13 relative error = 3.604117050538626e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.219999999999752 y[1] (closed_form) = 1.107679999999756 y[1] (numeric) = 1.107680000000157 absolute error = 4.012346010995316e-13 relative error = 3.622297063227829e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.209999999999753 y[1] (closed_form) = 1.097819999999758 y[1] (numeric) = 1.097820000000158 absolute error = 4.005684672847565e-13 relative error = 3.648762705041309e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.199999999999755 y[1] (closed_form) = 1.08799999999976 y[1] (numeric) = 1.088000000000159 absolute error = 3.990141550502813e-13 relative error = 3.6674095133306e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.189999999999756 y[1] (closed_form) = 1.078219999999762 y[1] (numeric) = 1.07822000000016 absolute error = 3.981259766305811e-13 relative error = 3.692437319198948e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.179999999999757 y[1] (closed_form) = 1.068479999999764 y[1] (numeric) = 1.068480000000161 absolute error = 3.97015753605956e-13 relative error = 3.715705989873875e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.169999999999758 y[1] (closed_form) = 1.058779999999766 y[1] (numeric) = 1.058780000000162 absolute error = 3.959055305813308e-13 relative error = 3.739261514020083e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.159999999999759 y[1] (closed_form) = 1.049119999999768 y[1] (numeric) = 1.049120000000163 absolute error = 3.952393967665557e-13 relative error = 3.767342122604119e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.14999999999976 y[1] (closed_form) = 1.03949999999977 y[1] (numeric) = 1.039500000000164 absolute error = 3.939071291370055e-13 relative error = 3.789390371689204e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.139999999999761 y[1] (closed_form) = 1.029919999999772 y[1] (numeric) = 1.029920000000165 absolute error = 3.927969061123804e-13 relative error = 3.813858417279666e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.129999999999762 y[1] (closed_form) = 1.020379999999774 y[1] (numeric) = 1.020380000000166 absolute error = 3.919087276926803e-13 relative error = 3.840811537787561e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.119999999999763 y[1] (closed_form) = 1.010879999999776 y[1] (numeric) = 1.010880000000167 absolute error = 3.907985046680551e-13 relative error = 3.865923795783295e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.109999999999765 y[1] (closed_form) = 1.001419999999778 y[1] (numeric) = 1.001420000000168 absolute error = 3.896882816434299e-13 relative error = 3.891357089368261e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.099999999999766 y[1] (closed_form) = 0.9919999999997798 y[1] (numeric) = 0.9920000000001685 absolute error = 3.886890809212673e-13 relative error = 3.918236702836226e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.089999999999767 y[1] (closed_form) = 0.9826199999997817 y[1] (numeric) = 0.9826200000001695 absolute error = 3.878009025015672e-13 relative error = 3.946600949519177e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.079999999999768 y[1] (closed_form) = 0.9732799999997838 y[1] (numeric) = 0.9732800000001703 absolute error = 3.865796571744795e-13 relative error = 3.971926446393282e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.069999999999769 y[1] (closed_form) = 0.9639799999997857 y[1] (numeric) = 0.9639800000001713 absolute error = 3.855804564523169e-13 relative error = 3.999880251171213e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.05999999999977 y[1] (closed_form) = 0.9547199999997876 y[1] (numeric) = 0.9547200000001722 absolute error = 3.845812557301542e-13 relative error = 4.028209901649068e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.049999999999771 y[1] (closed_form) = 0.9454999999997896 y[1] (numeric) = 0.9455000000001731 absolute error = 3.834710327055291e-13 relative error = 4.055748627240766e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.039999999999772 y[1] (closed_form) = 0.9363199999997914 y[1] (numeric) = 0.936320000000174 absolute error = 3.825828542858289e-13 relative error = 4.086026724687224e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.029999999999773 y[1] (closed_form) = 0.9271799999997933 y[1] (numeric) = 0.9271800000001749 absolute error = 3.815836535636663e-13 relative error = 4.115529385488809e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.019999999999774 y[1] (closed_form) = 0.9180799999997952 y[1] (numeric) = 0.9180800000001758 absolute error = 3.805844528415037e-13 relative error = 4.145438881596251e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.009999999999776 y[1] (closed_form) = 0.9090199999997971 y[1] (numeric) = 0.9090200000001767 absolute error = 3.79585252119341e-13 relative error = 4.175763482865347e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.999999999999777 y[1] (closed_form) = 0.8999999999997991 y[1] (numeric) = 0.9000000000001775 absolute error = 3.784750290947159e-13 relative error = 4.205278101053337e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.989999999999778 y[1] (closed_form) = 0.8910199999998009 y[1] (numeric) = 0.8910200000001784 absolute error = 3.775868506750157e-13 relative error = 4.237692203038093e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.979999999999779 y[1] (closed_form) = 0.8820799999998029 y[1] (numeric) = 0.8820800000001794 absolute error = 3.764766276503906e-13 relative error = 4.268055365165004e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.96999999999978 y[1] (closed_form) = 0.8731799999998046 y[1] (numeric) = 0.8731800000001803 absolute error = 3.75699471533153e-13 relative error = 4.302657774264608e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.959999999999781 y[1] (closed_form) = 0.8643199999998065 y[1] (numeric) = 0.8643200000001812 absolute error = 3.747002708109903e-13 relative error = 4.335203059180329e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.949999999999782 y[1] (closed_form) = 0.8554999999998084 y[1] (numeric) = 0.855500000000182 absolute error = 3.735900477863652e-13 relative error = 4.366920488444756e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.939999999999783 y[1] (closed_form) = 0.8467199999998102 y[1] (numeric) = 0.8467200000001829 absolute error = 3.727018693666651e-13 relative error = 4.401713309792477e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.929999999999784 y[1] (closed_form) = 0.837979999999812 y[1] (numeric) = 0.8379800000001838 absolute error = 3.718136909469649e-13 relative error = 4.437023448615103e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.919999999999785 y[1] (closed_form) = 0.8292799999998138 y[1] (numeric) = 0.8292800000001846 absolute error = 3.708144902248023e-13 relative error = 4.471523372381892e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.909999999999787 y[1] (closed_form) = 0.8206199999998157 y[1] (numeric) = 0.8206200000001855 absolute error = 3.698152895026396e-13 relative error = 4.506535174657243e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.899999999999788 y[1] (closed_form) = 0.8119999999998174 y[1] (numeric) = 0.8120000000001865 absolute error = 3.69038133385402e-13 relative error = 4.544804598343412e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.889999999999789 y[1] (closed_form) = 0.8034199999998192 y[1] (numeric) = 0.8034200000001873 absolute error = 3.681499549657019e-13 relative error = 4.582285167979199e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.87999999999979 y[1] (closed_form) = 0.794879999999821 y[1] (numeric) = 0.7948800000001881 absolute error = 3.671507542435393e-13 relative error = 4.618945680399833e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.869999999999791 y[1] (closed_form) = 0.7863799999998228 y[1] (numeric) = 0.7863800000001889 absolute error = 3.661515535213766e-13 relative error = 4.656165639022599e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.859999999999792 y[1] (closed_form) = 0.7779199999998246 y[1] (numeric) = 0.7779200000001898 absolute error = 3.65152352799214e-13 relative error = 4.693957640879477e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.849999999999793 y[1] (closed_form) = 0.7694999999998263 y[1] (numeric) = 0.7695000000001906 absolute error = 3.642641743795139e-13 relative error = 4.733777444829059e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.839999999999794 y[1] (closed_form) = 0.761119999999828 y[1] (numeric) = 0.7611200000001914 absolute error = 3.633759959598137e-13 relative error = 4.774227401196865e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.829999999999795 y[1] (closed_form) = 0.7527799999998298 y[1] (numeric) = 0.7527800000001922 absolute error = 3.623767952376511e-13 relative error = 4.813847275933647e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.819999999999796 y[1] (closed_form) = 0.7444799999998316 y[1] (numeric) = 0.744480000000193 absolute error = 3.613775945154885e-13 relative error = 4.854094059149611e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.809999999999798 y[1] (closed_form) = 0.7362199999998332 y[1] (numeric) = 0.7362200000001938 absolute error = 3.606004383982508e-13 relative error = 4.897998402628732e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.799999999999799 y[1] (closed_form) = 0.7279999999998349 y[1] (numeric) = 0.7280000000001946 absolute error = 3.597122599785507e-13 relative error = 4.94110247223396e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.7899999999998 y[1] (closed_form) = 0.7198199999998366 y[1] (numeric) = 0.7198200000001954 absolute error = 3.588240815588506e-13 relative error = 4.984914027936596e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.779999999999801 y[1] (closed_form) = 0.7116799999998383 y[1] (numeric) = 0.7116800000001962 absolute error = 3.57824880836688e-13 relative error = 5.027890074707302e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.769999999999802 y[1] (closed_form) = 0.7035799999998401 y[1] (numeric) = 0.7035800000001969 absolute error = 3.568256801145253e-13 relative error = 5.071572246434043e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.759999999999803 y[1] (closed_form) = 0.6955199999998417 y[1] (numeric) = 0.6955200000001978 absolute error = 3.560485239972877e-13 relative error = 5.119170174795387e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.749999999999804 y[1] (closed_form) = 0.6874999999998433 y[1] (numeric) = 0.6875000000001985 absolute error = 3.551603455775876e-13 relative error = 5.165968662947906e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.739999999999805 y[1] (closed_form) = 0.679519999999845 y[1] (numeric) = 0.6795200000001993 absolute error = 3.542721671578875e-13 relative error = 5.213564974658115e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.729999999999806 y[1] (closed_form) = 0.6715799999998467 y[1] (numeric) = 0.6715800000002001 absolute error = 3.533839887381873e-13 relative error = 5.261979045508621e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.719999999999807 y[1] (closed_form) = 0.6636799999998483 y[1] (numeric) = 0.6636800000002009 absolute error = 3.526068326209497e-13 relative error = 5.312904300582062e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.709999999999809 y[1] (closed_form) = 0.6558199999998501 y[1] (numeric) = 0.6558200000002017 absolute error = 3.516076318987871e-13 relative error = 5.361343537843729e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.69999999999981 y[1] (closed_form) = 0.6479999999998517 y[1] (numeric) = 0.6480000000002024 absolute error = 3.50719453479087e-13 relative error = 5.412337245048877e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.689999999999811 y[1] (closed_form) = 0.6402199999998531 y[1] (numeric) = 0.6402200000002032 absolute error = 3.500533196643119e-13 relative error = 5.467703596644781e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.679999999999812 y[1] (closed_form) = 0.6324799999998548 y[1] (numeric) = 0.632480000000204 absolute error = 3.491651412446117e-13 relative error = 5.520572053577851e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.669999999999813 y[1] (closed_form) = 0.6247799999998563 y[1] (numeric) = 0.6247800000002047 absolute error = 3.483879851273741e-13 relative error = 5.576170574081344e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.659999999999814 y[1] (closed_form) = 0.6171199999998581 y[1] (numeric) = 0.6171200000002055 absolute error = 3.473887844052115e-13 relative error = 5.629193421138374e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.649999999999815 y[1] (closed_form) = 0.6094999999998597 y[1] (numeric) = 0.6095000000002063 absolute error = 3.466116282879739e-13 relative error = 5.686819167974629e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.639999999999816 y[1] (closed_form) = 0.6019199999998611 y[1] (numeric) = 0.6019200000002071 absolute error = 3.459454944731988e-13 relative error = 5.747366667884081e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.629999999999817 y[1] (closed_form) = 0.5943799999998628 y[1] (numeric) = 0.5943800000002077 absolute error = 3.449462937510361e-13 relative error = 5.803464008733736e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.619999999999818 y[1] (closed_form) = 0.5868799999998643 y[1] (numeric) = 0.5868800000002085 absolute error = 3.441691376337985e-13 relative error = 5.864386887163954e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.60999999999982 y[1] (closed_form) = 0.5794199999998658 y[1] (numeric) = 0.5794200000002092 absolute error = 3.433919815165609e-13 relative error = 5.92647788334266e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.599999999999821 y[1] (closed_form) = 0.5719999999998674 y[1] (numeric) = 0.5720000000002099 absolute error = 3.425038030968608e-13 relative error = 5.987828725470983e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.589999999999822 y[1] (closed_form) = 0.564619999999869 y[1] (numeric) = 0.5646200000002106 absolute error = 3.416156246771607e-13 relative error = 6.050363513110409e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.579999999999823 y[1] (closed_form) = 0.5572799999998704 y[1] (numeric) = 0.5572800000002113 absolute error = 3.408384685599231e-13 relative error = 6.116108034740208e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.569999999999824 y[1] (closed_form) = 0.5499799999998719 y[1] (numeric) = 0.549980000000212 absolute error = 3.400613124426854e-13 relative error = 6.18315779560647e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.559999999999825 y[1] (closed_form) = 0.5427199999998734 y[1] (numeric) = 0.5427200000002127 absolute error = 3.392841563254478e-13 relative error = 6.251550639842404e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.549999999999826 y[1] (closed_form) = 0.535499999999875 y[1] (numeric) = 0.5355000000002134 absolute error = 3.383959779057477e-13 relative error = 6.319252621957548e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.539999999999827 y[1] (closed_form) = 0.5283199999998763 y[1] (numeric) = 0.5283200000002141 absolute error = 3.377298440909726e-13 relative error = 6.392524305175873e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.529999999999828 y[1] (closed_form) = 0.521179999999878 y[1] (numeric) = 0.5211800000002147 absolute error = 3.3673064336881e-13 relative error = 6.460927959033133e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.519999999999829 y[1] (closed_form) = 0.5140799999998794 y[1] (numeric) = 0.5140800000002154 absolute error = 3.359534872515724e-13 relative error = 6.535042935956489e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.509999999999831 y[1] (closed_form) = 0.5070199999998809 y[1] (numeric) = 0.5070200000002161 absolute error = 3.351763311343348e-13 relative error = 6.610712223076279e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.499999999999832 y[1] (closed_form) = 0.4999999999998822 y[1] (numeric) = 0.5000000000002167 absolute error = 3.345101973195597e-13 relative error = 6.690203946392769e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.489999999999833 y[1] (closed_form) = 0.4930199999998838 y[1] (numeric) = 0.4930200000002174 absolute error = 3.336220188998595e-13 relative error = 6.766906391220198e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.479999999999834 y[1] (closed_form) = 0.4860799999998852 y[1] (numeric) = 0.4860800000002181 absolute error = 3.329003739338532e-13 relative error = 6.848674578956794e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.469999999999835 y[1] (closed_form) = 0.4791799999998866 y[1] (numeric) = 0.4791800000002188 absolute error = 3.321787289678468e-13 relative error = 6.932232751114935e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.459999999999836 y[1] (closed_form) = 0.4723199999998881 y[1] (numeric) = 0.4723200000002194 absolute error = 3.31346061699378e-13 relative error = 7.01528755291871e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.449999999999837 y[1] (closed_form) = 0.4654999999998893 y[1] (numeric) = 0.4655000000002201 absolute error = 3.307354390358341e-13 relative error = 7.10495035522906e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.439999999999838 y[1] (closed_form) = 0.4587199999998907 y[1] (numeric) = 0.4587200000002207 absolute error = 3.300137940698278e-13 relative error = 7.194231646100158e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.429999999999839 y[1] (closed_form) = 0.4519799999998922 y[1] (numeric) = 0.4519800000002213 absolute error = 3.290701044988964e-13 relative error = 7.280634198393178e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.419999999999841 y[1] (closed_form) = 0.4452799999998934 y[1] (numeric) = 0.4452800000002219 absolute error = 3.285149929865838e-13 relative error = 7.37771723380036e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.409999999999842 y[1] (closed_form) = 0.4386199999998949 y[1] (numeric) = 0.4386200000002226 absolute error = 3.27682325718115e-13 relative error = 7.470756593821383e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.399999999999843 y[1] (closed_form) = 0.4319999999998964 y[1] (numeric) = 0.4320000000002232 absolute error = 3.268496584496461e-13 relative error = 7.565964315965845e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.389999999999844 y[1] (closed_form) = 0.4254199999998977 y[1] (numeric) = 0.4254200000002238 absolute error = 3.26183524634871e-13 relative error = 7.667329336536821e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.379999999999845 y[1] (closed_form) = 0.418879999999899 y[1] (numeric) = 0.4188800000002245 absolute error = 3.254618796688646e-13 relative error = 7.769811871393791e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.369999999999846 y[1] (closed_form) = 0.4123799999999004 y[1] (numeric) = 0.4123800000002251 absolute error = 3.247402347028583e-13 relative error = 7.874781383746465e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.359999999999847 y[1] (closed_form) = 0.4059199999999016 y[1] (numeric) = 0.4059200000002257 absolute error = 3.241296120393145e-13 relative error = 7.985061392377637e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.349999999999848 y[1] (closed_form) = 0.3994999999999028 y[1] (numeric) = 0.3995000000002263 absolute error = 3.235189893757706e-13 relative error = 8.098097356091347e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.339999999999849 y[1] (closed_form) = 0.3931199999999043 y[1] (numeric) = 0.393120000000227 absolute error = 3.226308109560705e-13 relative error = 8.206929460626501e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.32999999999985 y[1] (closed_form) = 0.3867799999999056 y[1] (numeric) = 0.3867800000002276 absolute error = 3.219091659900641e-13 relative error = 8.322797610790182e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.319999999999852 y[1] (closed_form) = 0.3804799999999068 y[1] (numeric) = 0.3804800000002281 absolute error = 3.213540544777516e-13 relative error = 8.446016991112024e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.309999999999853 y[1] (closed_form) = 0.3742199999999082 y[1] (numeric) = 0.3742200000002287 absolute error = 3.205213872092827e-13 relative error = 8.56505230103579e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.299999999999854 y[1] (closed_form) = 0.3679999999999094 y[1] (numeric) = 0.3680000000002293 absolute error = 3.199107645457389e-13 relative error = 8.693227297440696e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.289999999999855 y[1] (closed_form) = 0.3618199999999107 y[1] (numeric) = 0.3618200000002298 absolute error = 3.191891195797325e-13 relative error = 8.821765507153041e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.279999999999856 y[1] (closed_form) = 0.355679999999912 y[1] (numeric) = 0.3556800000002304 absolute error = 3.184674746137262e-13 relative error = 8.953763906146114e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.269999999999857 y[1] (closed_form) = 0.3495799999999131 y[1] (numeric) = 0.349580000000231 absolute error = 3.179678742526448e-13 relative error = 9.095711260733563e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.259999999999858 y[1] (closed_form) = 0.3435199999999144 y[1] (numeric) = 0.3435200000002316 absolute error = 3.17135206984176e-13 relative error = 9.231928475321814e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.249999999999859 y[1] (closed_form) = 0.3374999999999156 y[1] (numeric) = 0.3375000000002322 absolute error = 3.165245843206321e-13 relative error = 9.378506202095148e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.23999999999986 y[1] (closed_form) = 0.3315199999999169 y[1] (numeric) = 0.3315200000002327 absolute error = 3.15858450505857e-13 relative error = 9.527583569797787e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.229999999999861 y[1] (closed_form) = 0.325579999999918 y[1] (numeric) = 0.3255800000002333 absolute error = 3.152478278423132e-13 relative error = 9.682653352244995e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.219999999999863 y[1] (closed_form) = 0.3196799999999193 y[1] (numeric) = 0.3196800000002339 absolute error = 3.146372051787694e-13 relative error = 9.842254916755781e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.209999999999864 y[1] (closed_form) = 0.3138199999999204 y[1] (numeric) = 0.3138200000002344 absolute error = 3.140265825152255e-13 relative error = 1.000658283459643e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.199999999999865 y[1] (closed_form) = 0.3079999999999217 y[1] (numeric) = 0.308000000000235 absolute error = 3.133049375492192e-13 relative error = 1.017223823212009e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.189999999999866 y[1] (closed_form) = 0.3022199999999228 y[1] (numeric) = 0.3022200000002355 absolute error = 3.126943148856753e-13 relative error = 1.034657914386061e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.179999999999867 y[1] (closed_form) = 0.2964799999999239 y[1] (numeric) = 0.296480000000236 absolute error = 3.120836922221315e-13 relative error = 1.052629830754896e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.169999999999868 y[1] (closed_form) = 0.2907799999999251 y[1] (numeric) = 0.2907800000002365 absolute error = 3.114175584073564e-13 relative error = 1.070973101339283e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.159999999999869 y[1] (closed_form) = 0.2851199999999262 y[1] (numeric) = 0.285120000000237 absolute error = 3.108069357438126e-13 relative error = 1.090091665768424e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.14999999999987 y[1] (closed_form) = 0.2794999999999274 y[1] (numeric) = 0.2795000000002376 absolute error = 3.101963130802687e-13 relative error = 1.109825807085329e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.139999999999871 y[1] (closed_form) = 0.2739199999999286 y[1] (numeric) = 0.2739200000002381 absolute error = 3.095301792654936e-13 relative error = 1.130002114725374e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.129999999999872 y[1] (closed_form) = 0.2683799999999297 y[1] (numeric) = 0.2683800000002386 absolute error = 3.089195566019498e-13 relative error = 1.151052822870671e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.119999999999874 y[1] (closed_form) = 0.2628799999999307 y[1] (numeric) = 0.2628800000002391 absolute error = 3.084199562408685e-13 relative error = 1.173234769632341e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.109999999999875 y[1] (closed_form) = 0.2574199999999319 y[1] (numeric) = 0.2574200000002396 absolute error = 3.076983112748621e-13 relative error = 1.195316258546125e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.099999999999876 y[1] (closed_form) = 0.2519999999999329 y[1] (numeric) = 0.2520000000002401 absolute error = 3.071987109137808e-13 relative error = 1.219042503626439e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.089999999999877 y[1] (closed_form) = 0.246619999999934 y[1] (numeric) = 0.2466200000002406 absolute error = 3.066435994014682e-13 relative error = 1.243384962296449e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.079999999999878 y[1] (closed_form) = 0.2412799999999351 y[1] (numeric) = 0.2412800000002411 absolute error = 3.060329767379244e-13 relative error = 1.268372748416805e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.069999999999879 y[1] (closed_form) = 0.2359799999999362 y[1] (numeric) = 0.2359800000002416 absolute error = 3.053668429231493e-13 relative error = 1.294036964671717e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.05999999999988 y[1] (closed_form) = 0.2307199999999373 y[1] (numeric) = 0.2307200000002421 absolute error = 3.047839758352211e-13 relative error = 1.321012377926941e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.049999999999881 y[1] (closed_form) = 0.2254999999999383 y[1] (numeric) = 0.2255000000002426 absolute error = 3.042566198985241e-13 relative error = 1.349253303319767e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.039999999999882 y[1] (closed_form) = 0.2203199999999393 y[1] (numeric) = 0.220320000000243 absolute error = 3.036737528105959e-13 relative error = 1.378330395836418e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.029999999999883 y[1] (closed_form) = 0.2151799999999404 y[1] (numeric) = 0.2151800000002435 absolute error = 3.030631301470521e-13 relative error = 1.408416814514063e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.019999999999885 y[1] (closed_form) = 0.2100799999999414 y[1] (numeric) = 0.210080000000244 absolute error = 3.025357742103552e-13 relative error = 1.440097935122046e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.009999999999886 y[1] (closed_form) = 0.2050199999999425 y[1] (numeric) = 0.2050200000002444 absolute error = 3.01952907122427e-13 relative error = 1.472797322810027e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.999999999999887 y[1] (closed_form) = 0.1999999999999434 y[1] (numeric) = 0.2000000000002449 absolute error = 3.014533067613456e-13 relative error = 1.507266533807154e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.989999999999888 y[1] (closed_form) = 0.1950199999999445 y[1] (numeric) = 0.1950200000002454 absolute error = 3.008981952490331e-13 relative error = 1.542909420824114e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.979999999999889 y[1] (closed_form) = 0.1900799999999454 y[1] (numeric) = 0.1900800000002458 absolute error = 3.003985948879517e-13 relative error = 1.580379813173601e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.96999999999989 y[1] (closed_form) = 0.1851799999999464 y[1] (numeric) = 0.1851800000002462 absolute error = 2.998434833756392e-13 relative error = 1.61920014783306e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.959999999999891 y[1] (closed_form) = 0.1803199999999474 y[1] (numeric) = 0.1803200000002467 absolute error = 2.992606162877109e-13 relative error = 1.659608564151499e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.949999999999892 y[1] (closed_form) = 0.1754999999999484 y[1] (numeric) = 0.1755000000002471 absolute error = 2.98733260351014e-13 relative error = 1.702183819664398e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.939999999999893 y[1] (closed_form) = 0.1707199999999494 y[1] (numeric) = 0.1707200000002475 absolute error = 2.981781488387014e-13 relative error = 1.746591780920747e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.929999999999894 y[1] (closed_form) = 0.1659799999999503 y[1] (numeric) = 0.165980000000248 absolute error = 2.976785484776201e-13 relative error = 1.793460347497947e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.919999999999896 y[1] (closed_form) = 0.1612799999999512 y[1] (numeric) = 0.1612800000002484 absolute error = 2.971234369653075e-13 relative error = 1.842283215311243e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.909999999999897 y[1] (closed_form) = 0.1566199999999521 y[1] (numeric) = 0.1566200000002488 absolute error = 2.966238366042262e-13 relative error = 1.893907780643065e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.899999999999898 y[1] (closed_form) = 0.1519999999999531 y[1] (numeric) = 0.1520000000002492 absolute error = 2.961242362431449e-13 relative error = 1.948185764758134e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.889999999999899 y[1] (closed_form) = 0.1474199999999539 y[1] (numeric) = 0.1474200000002496 absolute error = 2.956801470332948e-13 relative error = 2.00569900307548e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.8799999999999 y[1] (closed_form) = 0.1428799999999548 y[1] (numeric) = 0.14288000000025 absolute error = 2.951805466722135e-13 relative error = 2.065933277381767e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.869999999999901 y[1] (closed_form) = 0.1383799999999558 y[1] (numeric) = 0.1383800000002504 absolute error = 2.946531907355165e-13 relative error = 2.129304745885321e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.859999999999902 y[1] (closed_form) = 0.1339199999999566 y[1] (numeric) = 0.1339200000002508 absolute error = 2.941813459500509e-13 relative error = 2.196694638217937e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.849999999999903 y[1] (closed_form) = 0.1294999999999575 y[1] (numeric) = 0.1295000000002512 absolute error = 2.936539900133539e-13 relative error = 2.267598378482241e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.839999999999904 y[1] (closed_form) = 0.1251199999999584 y[1] (numeric) = 0.1251200000002516 absolute error = 2.932099008035038e-13 relative error = 2.34342951409528e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.829999999999905 y[1] (closed_form) = 0.1207799999999593 y[1] (numeric) = 0.120780000000252 absolute error = 2.927103004424225e-13 relative error = 2.423499755278368e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.819999999999907 y[1] (closed_form) = 0.1164799999999601 y[1] (numeric) = 0.1164800000002523 absolute error = 2.922800890203803e-13 relative error = 2.509272742277477e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.809999999999908 y[1] (closed_form) = 0.1122199999999609 y[1] (numeric) = 0.1122200000002527 absolute error = 2.917943664471068e-13 relative error = 2.600199308921836e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.799999999999909 y[1] (closed_form) = 0.1079999999999618 y[1] (numeric) = 0.1080000000002531 absolute error = 2.912670105104098e-13 relative error = 2.69691676398623e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.78999999999991 y[1] (closed_form) = 0.1038199999999626 y[1] (numeric) = 0.1038200000002534 absolute error = 2.908090435127519e-13 relative error = 2.801088841387562e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.779999999999911 y[1] (closed_form) = 0.09967999999996335 y[1] (numeric) = 0.09968000000025377 absolute error = 2.904204654541331e-13 relative error = 2.913527943963081e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.769999999999912 y[1] (closed_form) = 0.09557999999996414 y[1] (numeric) = 0.09558000000025413 absolute error = 2.899902540320909e-13 relative error = 3.034005587279763e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.759999999999913 y[1] (closed_form) = 0.09151999999996496 y[1] (numeric) = 0.09152000000025449 absolute error = 2.89532287034433e-13 relative error = 3.163595793646677e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.749999999999914 y[1] (closed_form) = 0.08749999999996583 y[1] (numeric) = 0.08750000000025485 absolute error = 2.890188088855439e-13 relative error = 3.303072101550363e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.739999999999915 y[1] (closed_form) = 0.08351999999996651 y[1] (numeric) = 0.08352000000025518 absolute error = 2.886718641903485e-13 relative error = 3.456320213008432e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.729999999999916 y[1] (closed_form) = 0.07957999999996734 y[1] (numeric) = 0.07958000000025553 absolute error = 2.88186141617075e-13 relative error = 3.621338798909189e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.719999999999918 y[1] (closed_form) = 0.07567999999996811 y[1] (numeric) = 0.07568000000025586 absolute error = 2.877559301950328e-13 relative error = 3.802271804904255e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.709999999999919 y[1] (closed_form) = 0.0718199999999688 y[1] (numeric) = 0.07182000000025618 absolute error = 2.873812299242218e-13 relative error = 4.001409494908753e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.69999999999992 y[1] (closed_form) = 0.06799999999996953 y[1] (numeric) = 0.06800000000025651 absolute error = 2.869787740777952e-13 relative error = 4.220276089381232e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.689999999999921 y[1] (closed_form) = 0.0642199999999703 y[1] (numeric) = 0.06422000000025682 absolute error = 2.865208070801373e-13 relative error = 4.461551028967141e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.679999999999922 y[1] (closed_form) = 0.060479999999971 y[1] (numeric) = 0.06048000000025713 absolute error = 2.861252901276146e-13 relative error = 4.73090757486362e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.669999999999923 y[1] (closed_form) = 0.05677999999997174 y[1] (numeric) = 0.05678000000025744 absolute error = 2.856950787055723e-13 relative error = 5.031614630252105e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.659999999999924 y[1] (closed_form) = 0.05311999999997252 y[1] (numeric) = 0.05312000000025775 absolute error = 2.852232339201066e-13 relative error = 5.369413289161411e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.649999999999925 y[1] (closed_form) = 0.04949999999997312 y[1] (numeric) = 0.04950000000025805 absolute error = 2.849248614822386e-13 relative error = 5.756057807725118e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.639999999999926 y[1] (closed_form) = 0.04591999999997387 y[1] (numeric) = 0.04592000000025834 absolute error = 2.844668944845807e-13 relative error = 6.194836552368088e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.629999999999928 y[1] (closed_form) = 0.04237999999997455 y[1] (numeric) = 0.04238000000025863 absolute error = 2.840783164259619e-13 relative error = 6.703122143136681e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.619999999999929 y[1] (closed_form) = 0.03887999999997527 y[1] (numeric) = 0.03888000000025891 absolute error = 2.836411661100158e-13 relative error = 7.295297482258133e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.60999999999993 y[1] (closed_form) = 0.03541999999997592 y[1] (numeric) = 0.03542000000025918 absolute error = 2.832664658392048e-13 relative error = 7.997359284003315e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.599999999999931 y[1] (closed_form) = 0.03199999999997649 y[1] (numeric) = 0.03200000000025945 absolute error = 2.829611545074329e-13 relative error = 8.842536078363774e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.589999999999932 y[1] (closed_form) = 0.02861999999997722 y[1] (numeric) = 0.02862000000025973 absolute error = 2.825101264036789e-13 relative error = 9.871073599018301e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.579999999999933 y[1] (closed_form) = 0.02527999999997782 y[1] (numeric) = 0.02528000000026 absolute error = 2.821770594962913e-13 relative error = 1.116206722692005e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.569999999999934 y[1] (closed_form) = 0.02197999999997846 y[1] (numeric) = 0.02198000000026026 absolute error = 2.817988897785284e-13 relative error = 1.28206956223296e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.559999999999935 y[1] (closed_form) = 0.01871999999997909 y[1] (numeric) = 0.01872000000026052 absolute error = 2.814345978485733e-13 relative error = 1.503389945773973e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.549999999999936 y[1] (closed_form) = 0.0154999999999797 y[1] (numeric) = 0.01550000000026078 absolute error = 2.81084183706426e-13 relative error = 1.813446346495446e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.539999999999937 y[1] (closed_form) = 0.01231999999998029 y[1] (numeric) = 0.01232000000026104 absolute error = 2.807441779051345e-13 relative error = 2.278767677805062e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.529999999999939 y[1] (closed_form) = 0.00917999999998087 y[1] (numeric) = 0.009180000000261283 absolute error = 2.804128457212229e-13 relative error = 3.05460616254692e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.51999999999994 y[1] (closed_form) = 0.006079999999981434 y[1] (numeric) = 0.006080000000261527 absolute error = 2.800936566016432e-13 relative error = 4.606803562541094e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.509999999999941 y[1] (closed_form) = 0.003019999999982037 y[1] (numeric) = 0.003020000000261766 absolute error = 2.797289309908191e-13 relative error = 9.26254738385705e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.499999999999942 y[1] (closed_form) = -1.73749903353837e-14 y[1] (numeric) = 2.62001520739269e-13 absolute error = 2.793765110746527e-13 relative error = 1607.923260283546 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 0 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.489999999999943 y[1] (closed_form) = -0.002980000000016858 y[1] (numeric) = -0.002979999999737768 absolute error = 2.790901190707906e-13 relative error = 9.365440237221871e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.479999999999944 y[1] (closed_form) = -0.005920000000016301 y[1] (numeric) = -0.005919999999737542 absolute error = 2.787587868868791e-13 relative error = 4.708763291995126e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.469999999999945 y[1] (closed_form) = -0.00882000000001576 y[1] (numeric) = -0.008819999999737319 absolute error = 2.784404651290373e-13 relative error = 3.156921373339453e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.459999999999946 y[1] (closed_form) = -0.01168000000001523 y[1] (numeric) = -0.0116799999997371 absolute error = 2.781299496268375e-13 relative error = 2.381249568719818e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.449999999999947 y[1] (closed_form) = -0.01450000000001467 y[1] (numeric) = -0.01449999999973689 absolute error = 2.777795354846901e-13 relative error = 1.915720934375236e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.439999999999948 y[1] (closed_form) = -0.01728000000001417 y[1] (numeric) = -0.01727999999973668 absolute error = 2.77489836664202e-13 relative error = 1.605843962175778e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.42999999999995 y[1] (closed_form) = -0.02002000000001369 y[1] (numeric) = -0.02001999999973647 absolute error = 2.772192198019496e-13 relative error = 1.384711387621179e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.419999999999951 y[1] (closed_form) = -0.02272000000001317 y[1] (numeric) = -0.02271999999973627 absolute error = 2.769035001293219e-13 relative error = 1.218765405498069e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.409999999999952 y[1] (closed_form) = -0.02538000000001267 y[1] (numeric) = -0.02537999999973608 absolute error = 2.76594719350598e-13 relative error = 1.089813709024665e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.399999999999953 y[1] (closed_form) = -0.02800000000001218 y[1] (numeric) = -0.02799999999973589 absolute error = 2.7629634691273e-13 relative error = 9.867726675450349e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.389999999999954 y[1] (closed_form) = -0.03058000000001176 y[1] (numeric) = -0.0305799999997357 absolute error = 2.760638939669491e-13 relative error = 9.027596270988976e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.379999999999955 y[1] (closed_form) = -0.03312000000001125 y[1] (numeric) = -0.03311999999973552 absolute error = 2.757308270595615e-13 relative error = 8.32520613102258e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.369999999999956 y[1] (closed_form) = -0.03562000000001081 y[1] (numeric) = -0.03561999999973535 absolute error = 2.754602101973092e-13 relative error = 7.733301802280336e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.359999999999957 y[1] (closed_form) = -0.03808000000001038 y[1] (numeric) = -0.03807999999973519 absolute error = 2.751965322289607e-13 relative error = 7.226799690884602e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.349999999999958 y[1] (closed_form) = -0.04050000000000997 y[1] (numeric) = -0.04049999999973503 absolute error = 2.7494673204842e-13 relative error = 6.788808198724749e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.339999999999959 y[1] (closed_form) = -0.04288000000000952 y[1] (numeric) = -0.04287999999973486 absolute error = 2.746622373983598e-13 relative error = 6.405369342311073e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.329999999999961 y[1] (closed_form) = -0.04522000000000909 y[1] (numeric) = -0.04521999999973469 absolute error = 2.743985594300113e-13 relative error = 6.068079598185675e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.319999999999962 y[1] (closed_form) = -0.04752000000000867 y[1] (numeric) = -0.04751999999973452 absolute error = 2.741418203555668e-13 relative error = 5.768977701084107e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.309999999999963 y[1] (closed_form) = -0.04978000000000832 y[1] (numeric) = -0.04977999999973437 absolute error = 2.739475313262574e-13 relative error = 5.503164550546638e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.299999999999964 y[1] (closed_form) = -0.05200000000000793 y[1] (numeric) = -0.05199999999973422 absolute error = 2.737116089335245e-13 relative error = 5.263684787182361e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.289999999999965 y[1] (closed_form) = -0.0541800000000075 y[1] (numeric) = -0.05417999999973407 absolute error = 2.734271142834643e-13 relative error = 5.046642936202039e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.279999999999966 y[1] (closed_form) = -0.05632000000000714 y[1] (numeric) = -0.05631999999973394 absolute error = 2.732050696785393e-13 relative error = 4.850942288325722e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.269999999999967 y[1] (closed_form) = -0.0584200000000068 y[1] (numeric) = -0.0584199999997338 absolute error = 2.729969028614221e-13 relative error = 4.673004157161765e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.259999999999968 y[1] (closed_form) = -0.06048000000000642 y[1] (numeric) = -0.06047999999973368 absolute error = 2.727401637869775e-13 relative error = 4.509592655207483e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.249999999999969 y[1] (closed_form) = -0.06250000000000605 y[1] (numeric) = -0.06249999999973356 absolute error = 2.724903636064369e-13 relative error = 4.359845817702568e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.23999999999997 y[1] (closed_form) = -0.06448000000000575 y[1] (numeric) = -0.06447999999973344 absolute error = 2.723099523649353e-13 relative error = 4.22316923642852e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.229999999999972 y[1] (closed_form) = -0.06642000000000542 y[1] (numeric) = -0.06641999999973332 absolute error = 2.721017855478181e-13 relative error = 4.096684515925864e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.219999999999973 y[1] (closed_form) = -0.0683200000000051 y[1] (numeric) = -0.06831999999973321 absolute error = 2.718936187307008e-13 relative error = 3.979707534114177e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.209999999999974 y[1] (closed_form) = -0.07018000000000479 y[1] (numeric) = -0.07017999999973311 absolute error = 2.716854519135836e-13 relative error = 3.871266057474566e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.199999999999975 y[1] (closed_form) = -0.07200000000000445 y[1] (numeric) = -0.071999999999733 absolute error = 2.714495295208508e-13 relative error = 3.770132354456028e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.189999999999976 y[1] (closed_form) = -0.07378000000000418 y[1] (numeric) = -0.07377999999973291 absolute error = 2.712691182793492e-13 relative error = 3.676729713734533e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.179999999999977 y[1] (closed_form) = -0.07552000000000392 y[1] (numeric) = -0.07551999999973283 absolute error = 2.710887070378476e-13 relative error = 3.589628006327245e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.169999999999978 y[1] (closed_form) = -0.07722000000000362 y[1] (numeric) = -0.07721999999973274 absolute error = 2.708805402207304e-13 relative error = 3.507906503764798e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.159999999999979 y[1] (closed_form) = -0.07888000000000334 y[1] (numeric) = -0.07887999999973265 absolute error = 2.70686251191421e-13 relative error = 3.431620831534097e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.14999999999998 y[1] (closed_form) = -0.08050000000000307 y[1] (numeric) = -0.08049999999973256 absolute error = 2.705058399499194e-13 relative error = 3.360320993166572e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.139999999999981 y[1] (closed_form) = -0.08208000000000282 y[1] (numeric) = -0.08207999999973248 absolute error = 2.703393064962256e-13 relative error = 3.293607535285287e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.129999999999983 y[1] (closed_form) = -0.08362000000000258 y[1] (numeric) = -0.08361999999973239 absolute error = 2.701866508303397e-13 relative error = 3.231124740855433e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.119999999999984 y[1] (closed_form) = -0.08512000000000236 y[1] (numeric) = -0.08511999999973233 absolute error = 2.700339951644537e-13 relative error = 3.172391860484566e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.109999999999985 y[1] (closed_form) = -0.08658000000000216 y[1] (numeric) = -0.08657999999973226 absolute error = 2.698952172863756e-13 relative error = 3.117292876950437e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.099999999999986 y[1] (closed_form) = -0.08800000000000194 y[1] (numeric) = -0.0879999999997322 absolute error = 2.697425616204896e-13 relative error = 3.06525638205095e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.089999999999987 y[1] (closed_form) = -0.08938000000000174 y[1] (numeric) = -0.08937999999973215 absolute error = 2.695899059546036e-13 relative error = 3.016221816453327e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.079999999999988 y[1] (closed_form) = -0.09072000000000152 y[1] (numeric) = -0.0907199999997321 absolute error = 2.694233725009099e-13 relative error = 2.969834352964124e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.069999999999989 y[1] (closed_form) = -0.09202000000000135 y[1] (numeric) = -0.09201999999973205 absolute error = 2.692984724106395e-13 relative error = 2.926521108570263e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.05999999999999 y[1] (closed_form) = -0.09328000000000117 y[1] (numeric) = -0.09327999999973202 absolute error = 2.691458167447536e-13 relative error = 2.885353953095521e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.049999999999991 y[1] (closed_form) = -0.094500000000001 y[1] (numeric) = -0.09449999999973199 absolute error = 2.690070388666754e-13 relative error = 2.846635331922461e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.039999999999992 y[1] (closed_form) = -0.09568000000000082 y[1] (numeric) = -0.09567999999973197 absolute error = 2.688543832007895e-13 relative error = 2.809932934790836e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.029999999999994 y[1] (closed_form) = -0.09682000000000068 y[1] (numeric) = -0.09681999999973194 absolute error = 2.68743360898327e-13 relative error = 2.775700897524531e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.019999999999995 y[1] (closed_form) = -0.09792000000000053 y[1] (numeric) = -0.09791999999973192 absolute error = 2.686184608080566e-13 relative error = 2.743244085049583e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.009999999999996 y[1] (closed_form) = -0.0989800000000004 y[1] (numeric) = -0.09897999999973188 absolute error = 2.685213162934019e-13 relative error = 2.712884585708233e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9999999999999968 y[1] (closed_form) = -0.1000000000000003 y[1] (numeric) = -0.09999999999973186 absolute error = 2.684519273543629e-13 relative error = 2.68451927354362e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9899999999999968 y[1] (closed_form) = -0.1009800000000003 y[1] (numeric) = -0.1009799999997319 absolute error = 2.68438049566555e-13 relative error = 2.658328872712956e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9799999999999968 y[1] (closed_form) = -0.1019200000000003 y[1] (numeric) = -0.1019199999997318 absolute error = 2.684519273543629e-13 relative error = 2.633947481891308e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9699999999999968 y[1] (closed_form) = -0.1028200000000003 y[1] (numeric) = -0.1028199999997318 absolute error = 2.684519273543629e-13 relative error = 2.610892115875921e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9599999999999967 y[1] (closed_form) = -0.1036800000000003 y[1] (numeric) = -0.1036799999997318 absolute error = 2.684658051421707e-13 relative error = 2.58936926255951e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9499999999999967 y[1] (closed_form) = -0.1045000000000003 y[1] (numeric) = -0.1044999999997318 absolute error = 2.684658051421707e-13 relative error = 2.569050766910718e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9399999999999967 y[1] (closed_form) = -0.1052800000000002 y[1] (numeric) = -0.1052799999997318 absolute error = 2.684519273543629e-13 relative error = 2.549885328213927e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9299999999999967 y[1] (closed_form) = -0.1060200000000002 y[1] (numeric) = -0.1060199999997318 absolute error = 2.684658051421707e-13 relative error = 2.532218497851067e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9199999999999967 y[1] (closed_form) = -0.1067200000000002 y[1] (numeric) = -0.1067199999997318 absolute error = 2.684796829299785e-13 relative error = 2.515739157889598e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9099999999999967 y[1] (closed_form) = -0.1073800000000002 y[1] (numeric) = -0.1073799999997317 absolute error = 2.684658051421707e-13 relative error = 2.500147188882196e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8999999999999967 y[1] (closed_form) = -0.1080000000000002 y[1] (numeric) = -0.1079999999997317 absolute error = 2.684796829299785e-13 relative error = 2.485922990092389e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8899999999999967 y[1] (closed_form) = -0.1085800000000002 y[1] (numeric) = -0.1085799999997317 absolute error = 2.684658051421707e-13 relative error = 2.472516164507002e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8799999999999967 y[1] (closed_form) = -0.1091200000000002 y[1] (numeric) = -0.1091199999997317 absolute error = 2.684658051421707e-13 relative error = 2.460280472343936e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8699999999999967 y[1] (closed_form) = -0.1096200000000002 y[1] (numeric) = -0.1096199999997317 absolute error = 2.684796829299785e-13 relative error = 2.449185211913684e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8599999999999967 y[1] (closed_form) = -0.1100800000000001 y[1] (numeric) = -0.1100799999997317 absolute error = 2.684796829299785e-13 relative error = 2.438950608012156e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8499999999999966 y[1] (closed_form) = -0.1105000000000001 y[1] (numeric) = -0.1104999999997317 absolute error = 2.684658051421707e-13 relative error = 2.4295547976667e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8399999999999966 y[1] (closed_form) = -0.1108800000000001 y[1] (numeric) = -0.1108799999997316 absolute error = 2.684796829299785e-13 relative error = 2.421353561778303e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8299999999999966 y[1] (closed_form) = -0.1112200000000001 y[1] (numeric) = -0.1112199999997316 absolute error = 2.68438049566555e-13 relative error = 2.413577140501302e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8199999999999966 y[1] (closed_form) = -0.1115200000000001 y[1] (numeric) = -0.1115199999997316 absolute error = 2.684519273543629e-13 relative error = 2.407208817739981e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8099999999999966 y[1] (closed_form) = -0.11178 y[1] (numeric) = -0.1117799999997316 absolute error = 2.684519273543629e-13 relative error = 2.401609656059785e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7999999999999966 y[1] (closed_form) = -0.112 y[1] (numeric) = -0.1119999999997316 absolute error = 2.684658051421707e-13 relative error = 2.397016117340809e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7899999999999966 y[1] (closed_form) = -0.11218 y[1] (numeric) = -0.1121799999997316 absolute error = 2.684519273543629e-13 relative error = 2.393046241347502e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7799999999999966 y[1] (closed_form) = -0.11232 y[1] (numeric) = -0.1123199999997316 absolute error = 2.684519273543629e-13 relative error = 2.390063455790267e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7699999999999966 y[1] (closed_form) = -0.11242 y[1] (numeric) = -0.1124199999997315 absolute error = 2.684519273543629e-13 relative error = 2.387937443109437e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7599999999999966 y[1] (closed_form) = -0.11248 y[1] (numeric) = -0.1124799999997315 absolute error = 2.684519273543629e-13 relative error = 2.386663650021007e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7499999999999966 y[1] (closed_form) = -0.1125 y[1] (numeric) = -0.1124999999997315 absolute error = 2.684519273543629e-13 relative error = 2.386239354261004e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7399999999999965 y[1] (closed_form) = -0.11248 y[1] (numeric) = -0.1124799999997315 absolute error = 2.684519273543629e-13 relative error = 2.386663650021008e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7299999999999965 y[1] (closed_form) = -0.1124199999999999 y[1] (numeric) = -0.1124199999997315 absolute error = 2.684519273543629e-13 relative error = 2.387937443109438e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7199999999999965 y[1] (closed_form) = -0.1123199999999999 y[1] (numeric) = -0.1123199999997315 absolute error = 2.684519273543629e-13 relative error = 2.390063455790269e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7099999999999965 y[1] (closed_form) = -0.1121799999999999 y[1] (numeric) = -0.1121799999997315 absolute error = 2.684519273543629e-13 relative error = 2.393046241347504e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6999999999999965 y[1] (closed_form) = -0.1119999999999999 y[1] (numeric) = -0.1119999999997314 absolute error = 2.684658051421707e-13 relative error = 2.397016117340812e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6899999999999965 y[1] (closed_form) = -0.1117799999999999 y[1] (numeric) = -0.1117799999997314 absolute error = 2.684658051421707e-13 relative error = 2.401733808750858e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6799999999999965 y[1] (closed_form) = -0.1115199999999999 y[1] (numeric) = -0.1115199999997314 absolute error = 2.68438049566555e-13 relative error = 2.407084375596802e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6699999999999965 y[1] (closed_form) = -0.1112199999999999 y[1] (numeric) = -0.1112199999997314 absolute error = 2.684519273543629e-13 relative error = 2.413701918309326e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6599999999999965 y[1] (closed_form) = -0.1108799999999998 y[1] (numeric) = -0.1108799999997314 absolute error = 2.684519273543629e-13 relative error = 2.421103240930405e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6499999999999965 y[1] (closed_form) = -0.1104999999999998 y[1] (numeric) = -0.1104999999997314 absolute error = 2.684519273543629e-13 relative error = 2.429429206826817e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6399999999999965 y[1] (closed_form) = -0.1100799999999998 y[1] (numeric) = -0.1100799999997314 absolute error = 2.68438049566555e-13 relative error = 2.438572397951994e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6299999999999965 y[1] (closed_form) = -0.1096199999999998 y[1] (numeric) = -0.1096199999997313 absolute error = 2.684519273543629e-13 relative error = 2.448932013814663e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6199999999999964 y[1] (closed_form) = -0.1091199999999998 y[1] (numeric) = -0.1091199999997313 absolute error = 2.684658051421707e-13 relative error = 2.460280472343944e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6099999999999964 y[1] (closed_form) = -0.1085799999999998 y[1] (numeric) = -0.1085799999997313 absolute error = 2.684519273543629e-13 relative error = 2.472388352867594e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5999999999999964 y[1] (closed_form) = -0.1079999999999998 y[1] (numeric) = -0.1079999999997313 absolute error = 2.684519273543629e-13 relative error = 2.485665994021884e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5899999999999964 y[1] (closed_form) = -0.1073799999999998 y[1] (numeric) = -0.1073799999997313 absolute error = 2.684658051421707e-13 relative error = 2.500147188882206e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5799999999999964 y[1] (closed_form) = -0.1067199999999997 y[1] (numeric) = -0.1067199999997313 absolute error = 2.684519273543629e-13 relative error = 2.515479079407454e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5699999999999964 y[1] (closed_form) = -0.1060199999999997 y[1] (numeric) = -0.1060199999997313 absolute error = 2.684519273543629e-13 relative error = 2.532087600022294e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5599999999999964 y[1] (closed_form) = -0.1052799999999997 y[1] (numeric) = -0.1052799999997312 absolute error = 2.684658051421707e-13 relative error = 2.550017146107251e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5499999999999964 y[1] (closed_form) = -0.1044999999999997 y[1] (numeric) = -0.1044999999997312 absolute error = 2.684658051421707e-13 relative error = 2.569050766910732e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5399999999999964 y[1] (closed_form) = -0.1036799999999997 y[1] (numeric) = -0.1036799999997312 absolute error = 2.684519273543629e-13 relative error = 2.589235410439465e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5299999999999964 y[1] (closed_form) = -0.1028199999999997 y[1] (numeric) = -0.1028199999997312 absolute error = 2.684519273543629e-13 relative error = 2.610892115875936e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5199999999999964 y[1] (closed_form) = -0.1019199999999996 y[1] (numeric) = -0.1019199999997312 absolute error = 2.684658051421707e-13 relative error = 2.63408364542947e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5099999999999963 y[1] (closed_form) = -0.1009799999999996 y[1] (numeric) = -0.1009799999997312 absolute error = 2.684519273543629e-13 relative error = 2.658466303766725e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4999999999999963 y[1] (closed_form) = -0.09999999999999962 y[1] (numeric) = -0.09999999999973117 absolute error = 2.684519273543629e-13 relative error = 2.684519273543639e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4899999999999963 y[1] (closed_form) = -0.0989799999999996 y[1] (numeric) = -0.09897999999973114 absolute error = 2.684519273543629e-13 relative error = 2.71218354570988e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4799999999999963 y[1] (closed_form) = -0.09791999999999959 y[1] (numeric) = -0.09791999999973112 absolute error = 2.684658051421707e-13 relative error = 2.741685101533617e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4699999999999963 y[1] (closed_form) = -0.09681999999999957 y[1] (numeric) = -0.09681999999973112 absolute error = 2.684519273543629e-13 relative error = 2.772690842329726e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4599999999999963 y[1] (closed_form) = -0.09567999999999954 y[1] (numeric) = -0.09567999999973111 absolute error = 2.68438049566555e-13 relative error = 2.805581621724042e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4499999999999963 y[1] (closed_form) = -0.09449999999999953 y[1] (numeric) = -0.09449999999973108 absolute error = 2.684519273543629e-13 relative error = 2.840761136025018e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4399999999999963 y[1] (closed_form) = -0.09327999999999953 y[1] (numeric) = -0.09327999999973106 absolute error = 2.684658051421707e-13 relative error = 2.878063948779717e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4299999999999963 y[1] (closed_form) = -0.0920199999999995 y[1] (numeric) = -0.09201999999973105 absolute error = 2.684519273543629e-13 relative error = 2.91732153177966e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4199999999999963 y[1] (closed_form) = -0.0907199999999995 y[1] (numeric) = -0.09071999999973104 absolute error = 2.684519273543629e-13 relative error = 2.959126183359395e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4099999999999963 y[1] (closed_form) = -0.08937999999999949 y[1] (numeric) = -0.08937999999973102 absolute error = 2.684658051421707e-13 relative error = 3.00364516829461e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3999999999999962 y[1] (closed_form) = -0.08799999999999947 y[1] (numeric) = -0.08799999999973102 absolute error = 2.684519273543629e-13 relative error = 3.050590083572323e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3899999999999962 y[1] (closed_form) = -0.08657999999999946 y[1] (numeric) = -0.086579999999731 absolute error = 2.684658051421707e-13 relative error = 3.10078315017524e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3799999999999962 y[1] (closed_form) = -0.08511999999999945 y[1] (numeric) = -0.08511999999973098 absolute error = 2.684658051421707e-13 relative error = 3.153968575448454e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3699999999999962 y[1] (closed_form) = -0.08361999999999942 y[1] (numeric) = -0.08361999999973097 absolute error = 2.684519273543629e-13 relative error = 3.210379423037129e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3599999999999962 y[1] (closed_form) = -0.0820799999999994 y[1] (numeric) = -0.08207999999973095 absolute error = 2.684519273543629e-13 relative error = 3.270613150028811e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3499999999999962 y[1] (closed_form) = -0.08049999999999939 y[1] (numeric) = -0.08049999999973094 absolute error = 2.684519273543629e-13 relative error = 3.334806550985899e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3399999999999962 y[1] (closed_form) = -0.07887999999999937 y[1] (numeric) = -0.07887999999973092 absolute error = 2.684519273543629e-13 relative error = 3.403295225080692e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3299999999999962 y[1] (closed_form) = -0.07721999999999936 y[1] (numeric) = -0.07721999999973091 absolute error = 2.684519273543629e-13 relative error = 3.476455935694963e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3199999999999962 y[1] (closed_form) = -0.07551999999999934 y[1] (numeric) = -0.07551999999973089 absolute error = 2.684519273543629e-13 relative error = 3.554713021111827e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3099999999999962 y[1] (closed_form) = -0.07377999999999932 y[1] (numeric) = -0.07377999999973087 absolute error = 2.684519273543629e-13 relative error = 3.638546047090883e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2999999999999962 y[1] (closed_form) = -0.0719999999999993 y[1] (numeric) = -0.07199999999973085 absolute error = 2.684519273543629e-13 relative error = 3.728498991032854e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2899999999999961 y[1] (closed_form) = -0.07017999999999928 y[1] (numeric) = -0.07017999999973083 absolute error = 2.684519273543629e-13 relative error = 3.825191327363431e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2799999999999961 y[1] (closed_form) = -0.06831999999999927 y[1] (numeric) = -0.06831999999973082 absolute error = 2.684519273543629e-13 relative error = 3.92933148937889e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2699999999999961 y[1] (closed_form) = -0.06641999999999926 y[1] (numeric) = -0.06641999999973081 absolute error = 2.684519273543629e-13 relative error = 4.041733323612856e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2599999999999961 y[1] (closed_form) = -0.06447999999999923 y[1] (numeric) = -0.06447999999973079 absolute error = 2.68438049566555e-13 relative error = 4.163121116106672e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2499999999999961 y[1] (closed_form) = -0.06249999999999922 y[1] (numeric) = -0.06249999999973077 absolute error = 2.684519273543629e-13 relative error = 4.295230837669859e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2399999999999961 y[1] (closed_form) = -0.0604799999999992 y[1] (numeric) = -0.06047999999973075 absolute error = 2.684519273543629e-13 relative error = 4.438689275039127e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2299999999999961 y[1] (closed_form) = -0.05841999999999918 y[1] (numeric) = -0.05841999999973074 absolute error = 2.684449884604589e-13 relative error = 4.59508710134308e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2199999999999961 y[1] (closed_form) = -0.05631999999999917 y[1] (numeric) = -0.05631999999973072 absolute error = 2.684449884604589e-13 relative error = 4.766423800789469e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2099999999999961 y[1] (closed_form) = -0.05417999999999915 y[1] (numeric) = -0.0541799999997307 absolute error = 2.684449884604589e-13 relative error = 4.954687863795924e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1999999999999961 y[1] (closed_form) = -0.05199999999999913 y[1] (numeric) = -0.05199999999973069 absolute error = 2.684449884604589e-13 relative error = 5.162403624239681e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1899999999999961 y[1] (closed_form) = -0.04977999999999912 y[1] (numeric) = -0.04977999999973067 absolute error = 2.684449884604589e-13 relative error = 5.392627329458893e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1799999999999961 y[1] (closed_form) = -0.0475199999999991 y[1] (numeric) = -0.04751999999973066 absolute error = 2.68438049566555e-13 relative error = 5.648948854515154e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.169999999999996 y[1] (closed_form) = -0.04521999999999908 y[1] (numeric) = -0.04521999999973064 absolute error = 2.684449884604589e-13 relative error = 5.936421682009385e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.159999999999996 y[1] (closed_form) = -0.04287999999999906 y[1] (numeric) = -0.04287999999973062 absolute error = 2.68438049566555e-13 relative error = 6.260215708175394e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.149999999999996 y[1] (closed_form) = -0.04049999999999904 y[1] (numeric) = -0.04049999999973061 absolute error = 2.684311106726511e-13 relative error = 6.627928658584135e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.139999999999996 y[1] (closed_form) = -0.03807999999999902 y[1] (numeric) = -0.03807999999973059 absolute error = 2.68438049566555e-13 relative error = 7.049318528533664e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.129999999999996 y[1] (closed_form) = -0.03561999999999901 y[1] (numeric) = -0.03561999999973057 absolute error = 2.68438049566555e-13 relative error = 7.536160852514389e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.119999999999996 y[1] (closed_form) = -0.03311999999999899 y[1] (numeric) = -0.03311999999973055 absolute error = 2.68438049566555e-13 relative error = 8.105013573869662e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.109999999999996 y[1] (closed_form) = -0.03057999999999897 y[1] (numeric) = -0.03057999999973054 absolute error = 2.684276412256992e-13 relative error = 8.777882316079406e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.09999999999999598 y[1] (closed_form) = -0.02799999999999895 y[1] (numeric) = -0.02799999999973053 absolute error = 2.684241717787472e-13 relative error = 9.586577563527045e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.08999999999999597 y[1] (closed_form) = -0.02537999999999894 y[1] (numeric) = -0.02537999999973051 absolute error = 2.684276412256992e-13 relative error = 1.057634520195864e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.07999999999999596 y[1] (closed_form) = -0.02271999999999892 y[1] (numeric) = -0.02271999999973049 absolute error = 2.684241717787472e-13 relative error = 1.181444418040317e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.06999999999999595 y[1] (closed_form) = -0.0200199999999989 y[1] (numeric) = -0.02001999999973048 absolute error = 2.684241717787472e-13 relative error = 1.340780078814995e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.05999999999999595 y[1] (closed_form) = -0.01727999999999888 y[1] (numeric) = -0.01727999999973046 absolute error = 2.684241717787472e-13 relative error = 1.553380623719702e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.04999999999999594 y[1] (closed_form) = -0.01449999999999886 y[1] (numeric) = -0.01449999999973044 absolute error = 2.684189676083193e-13 relative error = 1.851165293850623e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.03999999999999593 y[1] (closed_form) = -0.01167999999999884 y[1] (numeric) = -0.01167999999973043 absolute error = 2.684172328848433e-13 relative error = 2.298092747301968e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.02999999999999592 y[1] (closed_form) = -0.008819999999998824 y[1] (numeric) = -0.00881999999973041 absolute error = 2.684137634378914e-13 relative error = 3.043239948275818e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.01999999999999591 y[1] (closed_form) = -0.005919999999998806 y[1] (numeric) = -0.005919999999730394 absolute error = 2.684120287144154e-13 relative error = 4.533986971528202e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.009999999999995901 y[1] (closed_form) = -0.002979999999998787 y[1] (numeric) = -0.002979999999730376 absolute error = 2.684102939909394e-13 relative error = 9.007056845337204e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.100886297209172e-15 y[1] (closed_form) = 1.230265889162755e-15 y[1] (numeric) = 2.696409176668191e-13 absolute error = 2.684106517776563e-13 relative error = 21817.28796531297 % Desired digits = 8 Estimated correct digits = 0 Correct digits = -1 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.0100000000000041 y[1] (closed_form) = 0.003020000000001247 y[1] (numeric) = 0.003020000000269658 absolute error = 2.684102939909394e-13 relative error = 8.887758079166509e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.02000000000000411 y[1] (closed_form) = 0.006080000000001267 y[1] (numeric) = 0.006080000000269674 absolute error = 2.684076919057254e-13 relative error = 4.414600195816933e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.03000000000000412 y[1] (closed_form) = 0.009180000000001286 y[1] (numeric) = 0.009180000000269689 absolute error = 2.684033550970355e-13 relative error = 2.923783824586034e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.04000000000000413 y[1] (closed_form) = 0.01232000000000131 y[1] (numeric) = 0.01232000000026971 absolute error = 2.684016203735595e-13 relative error = 2.178584580953986e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.05000000000000414 y[1] (closed_form) = 0.01550000000000132 y[1] (numeric) = 0.01550000000026972 absolute error = 2.683998856500835e-13 relative error = 1.731612165484262e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.06000000000000415 y[1] (closed_form) = 0.01872000000000134 y[1] (numeric) = 0.01872000000026974 absolute error = 2.683964162031316e-13 relative error = 1.43374153954654e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.07000000000000416 y[1] (closed_form) = 0.02198000000000136 y[1] (numeric) = 0.02198000000026976 absolute error = 2.683929467561796e-13 relative error = 1.221078010719577e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.08000000000000417 y[1] (closed_form) = 0.02528000000000138 y[1] (numeric) = 0.02528000000026977 absolute error = 2.683894773092277e-13 relative error = 1.061667236191507e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.09000000000000417 y[1] (closed_form) = 0.0286200000000014 y[1] (numeric) = 0.02862000000026979 absolute error = 2.683860078622757e-13 relative error = 9.377568408884088e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1000000000000042 y[1] (closed_form) = 0.03200000000000142 y[1] (numeric) = 0.03200000000026981 absolute error = 2.683825384153238e-13 relative error = 8.386954325478495e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1100000000000042 y[1] (closed_form) = 0.03542000000000144 y[1] (numeric) = 0.03542000000026981 absolute error = 2.68368660627516e-13 relative error = 7.576754958427584e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1200000000000042 y[1] (closed_form) = 0.03888000000000146 y[1] (numeric) = 0.03888000000026984 absolute error = 2.683755995214199e-13 relative error = 6.902664596744078e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1300000000000042 y[1] (closed_form) = 0.04238000000000147 y[1] (numeric) = 0.04238000000026985 absolute error = 2.683825384153238e-13 relative error = 6.332764002249043e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1400000000000042 y[1] (closed_form) = 0.04592000000000149 y[1] (numeric) = 0.04592000000026987 absolute error = 2.683755995214199e-13 relative error = 5.844416365884389e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1500000000000042 y[1] (closed_form) = 0.04950000000000152 y[1] (numeric) = 0.04950000000026988 absolute error = 2.68368660627516e-13 relative error = 5.421589103586015e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1600000000000042 y[1] (closed_form) = 0.05312000000000153 y[1] (numeric) = 0.05312000000026991 absolute error = 2.683755995214199e-13 relative error = 5.052251497014536e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1700000000000042 y[1] (closed_form) = 0.05678000000000155 y[1] (numeric) = 0.05678000000026993 absolute error = 2.683755995214199e-13 relative error = 4.726586817918502e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1800000000000042 y[1] (closed_form) = 0.06048000000000157 y[1] (numeric) = 0.06048000000026994 absolute error = 2.683617217336121e-13 relative error = 4.437197779986856e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1900000000000042 y[1] (closed_form) = 0.0642200000000016 y[1] (numeric) = 0.06422000000026994 absolute error = 2.683409050519003e-13 relative error = 4.178463174274271e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2000000000000043 y[1] (closed_form) = 0.06800000000000161 y[1] (numeric) = 0.06800000000026996 absolute error = 2.683409050519003e-13 relative error = 3.946189780174911e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2100000000000043 y[1] (closed_form) = 0.07182000000000163 y[1] (numeric) = 0.07182000000026999 absolute error = 2.683547828397082e-13 relative error = 3.736490989135367e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2200000000000043 y[1] (closed_form) = 0.07568000000000166 y[1] (numeric) = 0.07568000000027 absolute error = 2.683409050519003e-13 relative error = 3.545730774998605e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2300000000000043 y[1] (closed_form) = 0.07958000000000168 y[1] (numeric) = 0.07958000000027002 absolute error = 2.683409050519003e-13 relative error = 3.371964124803904e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2400000000000043 y[1] (closed_form) = 0.0835200000000017 y[1] (numeric) = 0.08352000000027003 absolute error = 2.683270272640925e-13 relative error = 3.21272781685928e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2500000000000043 y[1] (closed_form) = 0.0875000000000017 y[1] (numeric) = 0.08750000000027006 absolute error = 2.683547828397082e-13 relative error = 3.066911803882319e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2600000000000043 y[1] (closed_form) = 0.09152000000000172 y[1] (numeric) = 0.09152000000027007 absolute error = 2.683409050519003e-13 relative error = 2.932046602402702e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2700000000000043 y[1] (closed_form) = 0.09558000000000175 y[1] (numeric) = 0.09558000000027009 absolute error = 2.683409050519003e-13 relative error = 2.807500575977144e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2800000000000043 y[1] (closed_form) = 0.09968000000000177 y[1] (numeric) = 0.09968000000027011 absolute error = 2.683409050519003e-13 relative error = 2.69202352580152e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2900000000000043 y[1] (closed_form) = 0.1038200000000018 y[1] (numeric) = 0.1038200000002701 absolute error = 2.683409050519003e-13 relative error = 2.584674485184894e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3000000000000043 y[1] (closed_form) = 0.1080000000000018 y[1] (numeric) = 0.1080000000002701 absolute error = 2.683409050519003e-13 relative error = 2.484638009739776e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3100000000000043 y[1] (closed_form) = 0.1122200000000018 y[1] (numeric) = 0.1122200000002702 absolute error = 2.683270272640925e-13 relative error = 2.391080264338693e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000043 y[1] (closed_form) = 0.1164800000000018 y[1] (numeric) = 0.1164800000002702 absolute error = 2.683270272640925e-13 relative error = 2.303631758791966e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3300000000000043 y[1] (closed_form) = 0.1207800000000019 y[1] (numeric) = 0.1207800000002702 absolute error = 2.683131494762847e-13 relative error = 2.221503141880117e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000044 y[1] (closed_form) = 0.1251200000000019 y[1] (numeric) = 0.1251200000002702 absolute error = 2.683131494762847e-13 relative error = 2.144446527144187e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3500000000000044 y[1] (closed_form) = 0.1295000000000019 y[1] (numeric) = 0.1295000000002702 absolute error = 2.682853939006691e-13 relative error = 2.071701883402819e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3600000000000044 y[1] (closed_form) = 0.1339200000000019 y[1] (numeric) = 0.1339200000002702 absolute error = 2.683131494762847e-13 relative error = 2.003533075539732e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3700000000000044 y[1] (closed_form) = 0.1383800000000019 y[1] (numeric) = 0.1383800000002703 absolute error = 2.683131494762847e-13 relative error = 1.938959022086146e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3800000000000044 y[1] (closed_form) = 0.142880000000002 y[1] (numeric) = 0.1428800000002703 absolute error = 2.682853939006691e-13 relative error = 1.87769732573254e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3900000000000044 y[1] (closed_form) = 0.147420000000002 y[1] (numeric) = 0.1474200000002703 absolute error = 2.682853939006691e-13 relative error = 1.819871075163922e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4000000000000044 y[1] (closed_form) = 0.152000000000002 y[1] (numeric) = 0.1520000000002703 absolute error = 2.682853939006691e-13 relative error = 1.765035486188589e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4100000000000044 y[1] (closed_form) = 0.156620000000002 y[1] (numeric) = 0.1566200000002703 absolute error = 2.682853939006691e-13 relative error = 1.712970207512869e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4200000000000044 y[1] (closed_form) = 0.1612800000000021 y[1] (numeric) = 0.1612800000002703 absolute error = 2.682298827494378e-13 relative error = 1.663131713476155e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4300000000000044 y[1] (closed_form) = 0.1659800000000021 y[1] (numeric) = 0.1659800000002704 absolute error = 2.682576383250534e-13 relative error = 1.616204592872937e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4400000000000044 y[1] (closed_form) = 0.1707200000000021 y[1] (numeric) = 0.1707200000002704 absolute error = 2.682576383250534e-13 relative error = 1.571331058605026e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000045 y[1] (closed_form) = 0.1755000000000022 y[1] (numeric) = 0.1755000000002704 absolute error = 2.682298827494378e-13 relative error = 1.528375400281678e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4600000000000045 y[1] (closed_form) = 0.1803200000000022 y[1] (numeric) = 0.1803200000002704 absolute error = 2.682298827494378e-13 relative error = 1.487521532550103e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4700000000000045 y[1] (closed_form) = 0.1851800000000022 y[1] (numeric) = 0.1851800000002704 absolute error = 2.682576383250534e-13 relative error = 1.448631808645914e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4800000000000045 y[1] (closed_form) = 0.1900800000000022 y[1] (numeric) = 0.1900800000002704 absolute error = 2.682298827494378e-13 relative error = 1.411142059919164e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4900000000000045 y[1] (closed_form) = 0.1950200000000022 y[1] (numeric) = 0.1950200000002704 absolute error = 2.682021271738222e-13 relative error = 1.375254472227562e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5000000000000044 y[1] (closed_form) = 0.2000000000000022 y[1] (numeric) = 0.2000000000002705 absolute error = 2.682298827494378e-13 relative error = 1.341149413747174e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5100000000000044 y[1] (closed_form) = 0.2050200000000023 y[1] (numeric) = 0.2050200000002705 absolute error = 2.682298827494378e-13 relative error = 1.308310812357013e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5200000000000045 y[1] (closed_form) = 0.2100800000000023 y[1] (numeric) = 0.2100800000002705 absolute error = 2.682298827494378e-13 relative error = 1.276798756423434e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5300000000000045 y[1] (closed_form) = 0.2151800000000023 y[1] (numeric) = 0.2151800000002705 absolute error = 2.682298827494378e-13 relative error = 1.246537237426503e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5400000000000045 y[1] (closed_form) = 0.2203200000000023 y[1] (numeric) = 0.2203200000002705 absolute error = 2.682576383250534e-13 relative error = 1.21758187329816e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000045 y[1] (closed_form) = 0.2255000000000023 y[1] (numeric) = 0.2255000000002706 absolute error = 2.682298827494378e-13 relative error = 1.189489502214789e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5600000000000045 y[1] (closed_form) = 0.2307200000000024 y[1] (numeric) = 0.2307200000002706 absolute error = 2.682021271738222e-13 relative error = 1.162457208624391e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5700000000000045 y[1] (closed_form) = 0.2359800000000024 y[1] (numeric) = 0.2359800000002706 absolute error = 2.682298827494378e-13 relative error = 1.136663627211777e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5800000000000045 y[1] (closed_form) = 0.2412800000000024 y[1] (numeric) = 0.2412800000002706 absolute error = 2.682298827494378e-13 relative error = 1.111695468954887e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5900000000000045 y[1] (closed_form) = 0.2466200000000024 y[1] (numeric) = 0.2466200000002706 absolute error = 2.682021271738222e-13 relative error = 1.087511666425349e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6000000000000045 y[1] (closed_form) = 0.2520000000000024 y[1] (numeric) = 0.2520000000002707 absolute error = 2.682298827494378e-13 relative error = 1.064404296624743e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6100000000000045 y[1] (closed_form) = 0.2574200000000025 y[1] (numeric) = 0.2574200000002707 absolute error = 2.682298827494378e-13 relative error = 1.04199317360514e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6200000000000045 y[1] (closed_form) = 0.2628800000000025 y[1] (numeric) = 0.2628800000002707 absolute error = 2.682298827494378e-13 relative error = 1.020351045151534e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6300000000000046 y[1] (closed_form) = 0.2683800000000025 y[1] (numeric) = 0.2683800000002707 absolute error = 2.682298827494378e-13 relative error = 9.994406541077402e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6400000000000046 y[1] (closed_form) = 0.2739200000000026 y[1] (numeric) = 0.2739200000002708 absolute error = 2.682298827494378e-13 relative error = 9.79227083635497e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6500000000000046 y[1] (closed_form) = 0.2795000000000026 y[1] (numeric) = 0.2795000000002708 absolute error = 2.681743715982066e-13 relative error = 9.594789681509985e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6600000000000046 y[1] (closed_form) = 0.2851200000000026 y[1] (numeric) = 0.2851200000002708 absolute error = 2.681743715982066e-13 relative error = 9.405666792866306e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6700000000000046 y[1] (closed_form) = 0.2907800000000026 y[1] (numeric) = 0.2907800000002708 absolute error = 2.682298827494378e-13 relative error = 9.224495589429653e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6800000000000046 y[1] (closed_form) = 0.2964800000000026 y[1] (numeric) = 0.2964800000002708 absolute error = 2.681743715982066e-13 relative error = 9.045276969718165e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6900000000000046 y[1] (closed_form) = 0.3022200000000027 y[1] (numeric) = 0.3022200000002708 absolute error = 2.681743715982066e-13 relative error = 8.873481953484356e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7000000000000046 y[1] (closed_form) = 0.3080000000000027 y[1] (numeric) = 0.3080000000002709 absolute error = 2.682298827494378e-13 relative error = 8.708762426929724e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7100000000000046 y[1] (closed_form) = 0.3138200000000027 y[1] (numeric) = 0.3138200000002709 absolute error = 2.681743715982066e-13 relative error = 8.545483767707739e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7200000000000046 y[1] (closed_form) = 0.3196800000000027 y[1] (numeric) = 0.3196800000002709 absolute error = 2.681743715982066e-13 relative error = 8.388837950394277e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7300000000000046 y[1] (closed_form) = 0.3255800000000028 y[1] (numeric) = 0.3255800000002709 absolute error = 2.681743715982066e-13 relative error = 8.23681957117158e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7400000000000047 y[1] (closed_form) = 0.3315200000000028 y[1] (numeric) = 0.3315200000002709 absolute error = 2.681743715982066e-13 relative error = 8.089236595023056e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7500000000000047 y[1] (closed_form) = 0.3375000000000028 y[1] (numeric) = 0.337500000000271 absolute error = 2.681743715982066e-13 relative error = 7.945907306613462e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7600000000000047 y[1] (closed_form) = 0.3435200000000028 y[1] (numeric) = 0.3435200000002709 absolute error = 2.681188604469753e-13 relative error = 7.805043678591439e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7700000000000047 y[1] (closed_form) = 0.3495800000000028 y[1] (numeric) = 0.349580000000271 absolute error = 2.681188604469753e-13 relative error = 7.669742560986702e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7800000000000047 y[1] (closed_form) = 0.3556800000000029 y[1] (numeric) = 0.355680000000271 absolute error = 2.681188604469753e-13 relative error = 7.538204578468655e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7900000000000047 y[1] (closed_form) = 0.3618200000000029 y[1] (numeric) = 0.361820000000271 absolute error = 2.68063349295744e-13 relative error = 7.408748805918464e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8000000000000047 y[1] (closed_form) = 0.3680000000000029 y[1] (numeric) = 0.368000000000271 absolute error = 2.681188604469753e-13 relative error = 7.285838599102533e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8100000000000047 y[1] (closed_form) = 0.3742200000000029 y[1] (numeric) = 0.3742200000002711 absolute error = 2.681188604469753e-13 relative error = 7.164738935571941e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8200000000000047 y[1] (closed_form) = 0.3804800000000029 y[1] (numeric) = 0.380480000000271 absolute error = 2.681188604469753e-13 relative error = 7.046858190889751e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8300000000000047 y[1] (closed_form) = 0.386780000000003 y[1] (numeric) = 0.3867800000002711 absolute error = 2.68063349295744e-13 relative error = 6.930641431711618e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8400000000000047 y[1] (closed_form) = 0.393120000000003 y[1] (numeric) = 0.3931200000002711 absolute error = 2.681188604469753e-13 relative error = 6.820280332900215e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8500000000000048 y[1] (closed_form) = 0.399500000000003 y[1] (numeric) = 0.3995000000002711 absolute error = 2.681188604469753e-13 relative error = 6.711360712064412e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8600000000000048 y[1] (closed_form) = 0.4059200000000031 y[1] (numeric) = 0.4059200000002712 absolute error = 2.681188604469753e-13 relative error = 6.605214338957757e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8700000000000048 y[1] (closed_form) = 0.4123800000000031 y[1] (numeric) = 0.4123800000002712 absolute error = 2.681188604469753e-13 relative error = 6.501742578373668e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8800000000000048 y[1] (closed_form) = 0.4188800000000031 y[1] (numeric) = 0.4188800000002712 absolute error = 2.681188604469753e-13 relative error = 6.400851328470525e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8900000000000048 y[1] (closed_form) = 0.4254200000000031 y[1] (numeric) = 0.4254200000002712 absolute error = 2.681188604469753e-13 relative error = 6.302450765055083e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9000000000000048 y[1] (closed_form) = 0.4320000000000032 y[1] (numeric) = 0.4320000000002712 absolute error = 2.68063349295744e-13 relative error = 6.205170122586623e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9100000000000048 y[1] (closed_form) = 0.4386200000000032 y[1] (numeric) = 0.4386200000002712 absolute error = 2.68063349295744e-13 relative error = 6.111516786643156e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9200000000000048 y[1] (closed_form) = 0.4452800000000032 y[1] (numeric) = 0.4452800000002713 absolute error = 2.68063349295744e-13 relative error = 6.020107556947137e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9300000000000048 y[1] (closed_form) = 0.4519800000000032 y[1] (numeric) = 0.4519800000002713 absolute error = 2.68063349295744e-13 relative error = 5.930867500680166e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9400000000000048 y[1] (closed_form) = 0.4587200000000032 y[1] (numeric) = 0.4587200000002713 absolute error = 2.68063349295744e-13 relative error = 5.843724914887996e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9500000000000048 y[1] (closed_form) = 0.4655000000000032 y[1] (numeric) = 0.4655000000002714 absolute error = 2.681188604469753e-13 relative error = 5.759803661589118e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9600000000000048 y[1] (closed_form) = 0.4723200000000033 y[1] (numeric) = 0.4723200000002714 absolute error = 2.68063349295744e-13 relative error = 5.675460477975571e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9700000000000049 y[1] (closed_form) = 0.4791800000000033 y[1] (numeric) = 0.4791800000002714 absolute error = 2.68063349295744e-13 relative error = 5.594209885549109e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9800000000000049 y[1] (closed_form) = 0.4860800000000033 y[1] (numeric) = 0.4860800000002714 absolute error = 2.68063349295744e-13 relative error = 5.514798989790615e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9900000000000049 y[1] (closed_form) = 0.4930200000000033 y[1] (numeric) = 0.4930200000002714 absolute error = 2.68063349295744e-13 relative error = 5.437169877403396e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.000000000000005 y[1] (closed_form) = 0.5000000000000033 y[1] (numeric) = 0.5000000000002714 absolute error = 2.681188604469753e-13 relative error = 5.362377208939471e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.010000000000004 y[1] (closed_form) = 0.5070200000000027 y[1] (numeric) = 0.5070200000002715 absolute error = 2.687849942617504e-13 relative error = 5.301270053681294e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.020000000000003 y[1] (closed_form) = 0.5140800000000019 y[1] (numeric) = 0.5140800000002715 absolute error = 2.696731726814505e-13 relative error = 5.245743321690195e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.030000000000002 y[1] (closed_form) = 0.5211800000000011 y[1] (numeric) = 0.5211800000002715 absolute error = 2.704503287986881e-13 relative error = 5.189192386482359e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (closed_form) = 0.5283200000000003 y[1] (numeric) = 0.5283200000002716 absolute error = 2.712274849159257e-13 relative error = 5.133772806555224e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999999 y[1] (closed_form) = 0.5354999999999995 y[1] (numeric) = 0.5355000000002715 absolute error = 2.720046410331634e-13 relative error = 5.079451746651048e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.059999999999998 y[1] (closed_form) = 0.5427199999999988 y[1] (numeric) = 0.5427200000002715 absolute error = 2.72781797150401e-13 relative error = 5.026197618484699e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.069999999999997 y[1] (closed_form) = 0.5499799999999979 y[1] (numeric) = 0.5499800000002715 absolute error = 2.735589532676386e-13 relative error = 4.973980022321532e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.079999999999996 y[1] (closed_form) = 0.5572799999999971 y[1] (numeric) = 0.5572800000002714 absolute error = 2.743361093848762e-13 relative error = 4.922769691804436e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.089999999999995 y[1] (closed_form) = 0.5646199999999962 y[1] (numeric) = 0.5646200000002715 absolute error = 2.752242878045763e-13 relative error = 4.87450476080511e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.099999999999994 y[1] (closed_form) = 0.5719999999999954 y[1] (numeric) = 0.5720000000002714 absolute error = 2.760014439218139e-13 relative error = 4.825200068563219e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.109999999999993 y[1] (closed_form) = 0.5794199999999946 y[1] (numeric) = 0.5794200000002714 absolute error = 2.767786000390515e-13 relative error = 4.776821649909463e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999992 y[1] (closed_form) = 0.5868799999999937 y[1] (numeric) = 0.5868800000002713 absolute error = 2.775557561562891e-13 relative error = 4.729344263840855e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999991 y[1] (closed_form) = 0.5943799999999928 y[1] (numeric) = 0.5943800000002712 absolute error = 2.784439345759893e-13 relative error = 4.684611436723857e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999989 y[1] (closed_form) = 0.601919999999992 y[1] (numeric) = 0.6019200000002712 absolute error = 2.792210906932269e-13 relative error = 4.638840555110821e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999988 y[1] (closed_form) = 0.609499999999991 y[1] (numeric) = 0.6095000000002712 absolute error = 2.80109269112927e-13 relative error = 4.595722216783119e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.159999999999987 y[1] (closed_form) = 0.6171199999999902 y[1] (numeric) = 0.6171200000002711 absolute error = 2.808864252301646e-13 relative error = 4.551568985451274e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.169999999999986 y[1] (closed_form) = 0.6247799999999893 y[1] (numeric) = 0.624780000000271 absolute error = 2.816635813474022e-13 relative error = 4.508204189433193e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.179999999999985 y[1] (closed_form) = 0.6324799999999884 y[1] (numeric) = 0.6324800000002709 absolute error = 2.825517597671023e-13 relative error = 4.467362758776681e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.189999999999984 y[1] (closed_form) = 0.6402199999999876 y[1] (numeric) = 0.6402200000002709 absolute error = 2.833289158843399e-13 relative error = 4.425493047457834e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.199999999999983 y[1] (closed_form) = 0.6479999999999866 y[1] (numeric) = 0.6480000000002708 absolute error = 2.842170943040401e-13 relative error = 4.386066270124166e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999982 y[1] (closed_form) = 0.6558199999999856 y[1] (numeric) = 0.6558200000002707 absolute error = 2.851052727237402e-13 relative error = 4.347309821654515e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.219999999999981 y[1] (closed_form) = 0.6636799999999847 y[1] (numeric) = 0.6636800000002707 absolute error = 2.859934511434403e-13 relative error = 4.309207014577009e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.22999999999998 y[1] (closed_form) = 0.6715799999999839 y[1] (numeric) = 0.6715800000002706 absolute error = 2.867706072606779e-13 relative error = 4.270088556250705e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.239999999999978 y[1] (closed_form) = 0.6795199999999828 y[1] (numeric) = 0.6795200000002706 absolute error = 2.877698079828406e-13 relative error = 4.234898280887212e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.249999999999977 y[1] (closed_form) = 0.6874999999999818 y[1] (numeric) = 0.6875000000002705 absolute error = 2.886579864025407e-13 relative error = 4.198661620400703e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.259999999999976 y[1] (closed_form) = 0.6955199999999809 y[1] (numeric) = 0.6955200000002704 absolute error = 2.894351425197783e-13 relative error = 4.161420843682227e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.269999999999975 y[1] (closed_form) = 0.7035799999999799 y[1] (numeric) = 0.7035800000002703 absolute error = 2.90434343241941e-13 relative error = 4.127950527899447e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.279999999999974 y[1] (closed_form) = 0.711679999999979 y[1] (numeric) = 0.7116800000002702 absolute error = 2.912114993591786e-13 relative error = 4.091888199179226e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.289999999999973 y[1] (closed_form) = 0.7198199999999779 y[1] (numeric) = 0.7198200000002701 absolute error = 2.922107000813412e-13 relative error = 4.059496819779252e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999972 y[1] (closed_form) = 0.7279999999999769 y[1] (numeric) = 0.7280000000002701 absolute error = 2.932099008035038e-13 relative error = 4.027608527520785e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.309999999999971 y[1] (closed_form) = 0.7362199999999759 y[1] (numeric) = 0.73622000000027 absolute error = 2.94098079223204e-13 relative error = 3.99470374647814e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.31999999999997 y[1] (closed_form) = 0.7444799999999749 y[1] (numeric) = 0.7444800000002698 absolute error = 2.948752353404416e-13 relative error = 3.960821450414403e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.329999999999969 y[1] (closed_form) = 0.7527799999999738 y[1] (numeric) = 0.7527800000002697 absolute error = 2.958744360626042e-13 relative error = 3.930423710282081e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999967 y[1] (closed_form) = 0.7611199999999728 y[1] (numeric) = 0.7611200000002696 absolute error = 2.967626144823043e-13 relative error = 3.899025311150869e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.349999999999966 y[1] (closed_form) = 0.7694999999999718 y[1] (numeric) = 0.7695000000002694 absolute error = 2.976507929020045e-13 relative error = 3.868106470461538e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.359999999999965 y[1] (closed_form) = 0.7779199999999706 y[1] (numeric) = 0.7779200000002693 absolute error = 2.986499936241671e-13 relative error = 3.839083628447377e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.369999999999964 y[1] (closed_form) = 0.7863799999999697 y[1] (numeric) = 0.7863800000002691 absolute error = 2.994271497414047e-13 relative error = 3.807664866113282e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.379999999999963 y[1] (closed_form) = 0.7948799999999685 y[1] (numeric) = 0.7948800000002689 absolute error = 3.004263504635674e-13 relative error = 3.779518297901309e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.389999999999962 y[1] (closed_form) = 0.8034199999999674 y[1] (numeric) = 0.8034200000002688 absolute error = 3.0142555118573e-13 relative error = 3.751780528064303e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.399999999999961 y[1] (closed_form) = 0.8119999999999663 y[1] (numeric) = 0.8120000000002686 absolute error = 3.023137296054301e-13 relative error = 3.723075487751757e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.40999999999996 y[1] (closed_form) = 0.8206199999999653 y[1] (numeric) = 0.8206200000002685 absolute error = 3.032019080251303e-13 relative error = 3.694790622031429e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.419999999999959 y[1] (closed_form) = 0.829279999999964 y[1] (numeric) = 0.8292800000002682 absolute error = 3.042011087472929e-13 relative error = 3.668255700695858e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999958 y[1] (closed_form) = 0.837979999999963 y[1] (numeric) = 0.8379800000002681 absolute error = 3.05089287166993e-13 relative error = 3.640770509642313e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.439999999999956 y[1] (closed_form) = 0.8467199999999618 y[1] (numeric) = 0.8467200000002679 absolute error = 3.060884878891557e-13 relative error = 3.614990644949563e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.449999999999955 y[1] (closed_form) = 0.8554999999999606 y[1] (numeric) = 0.8555000000002677 absolute error = 3.070876886113183e-13 relative error = 3.589569709074605e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.459999999999954 y[1] (closed_form) = 0.8643199999999596 y[1] (numeric) = 0.8643200000002675 absolute error = 3.079758670310184e-13 relative error = 3.563215788493067e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.469999999999953 y[1] (closed_form) = 0.8731799999999583 y[1] (numeric) = 0.8731800000002674 absolute error = 3.090860900556436e-13 relative error = 3.539775190174515e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.479999999999952 y[1] (closed_form) = 0.8820799999999572 y[1] (numeric) = 0.8820800000002672 absolute error = 3.099742684753437e-13 relative error = 3.514128746546331e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.489999999999951 y[1] (closed_form) = 0.891019999999956 y[1] (numeric) = 0.891020000000267 absolute error = 3.110844914999689e-13 relative error = 3.491330065542684e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.49999999999995 y[1] (closed_form) = 0.8999999999999548 y[1] (numeric) = 0.9000000000002668 absolute error = 3.11972669919669e-13 relative error = 3.466362999107607e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999949 y[1] (closed_form) = 0.9090199999999536 y[1] (numeric) = 0.9090200000002666 absolute error = 3.129718706418316e-13 relative error = 3.442959127872297e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.519999999999948 y[1] (closed_form) = 0.9180799999999525 y[1] (numeric) = 0.9180800000002665 absolute error = 3.139710713639943e-13 relative error = 3.419866148527476e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.529999999999947 y[1] (closed_form) = 0.9271799999999513 y[1] (numeric) = 0.9271800000002662 absolute error = 3.149702720861569e-13 relative error = 3.39707793617392e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.539999999999945 y[1] (closed_form) = 0.9363199999999501 y[1] (numeric) = 0.9363200000002661 absolute error = 3.159694728083196e-13 relative error = 3.374588525379533e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.549999999999944 y[1] (closed_form) = 0.9454999999999487 y[1] (numeric) = 0.9455000000002659 absolute error = 3.171907181354072e-13 relative error = 3.354740540829449e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.559999999999943 y[1] (closed_form) = 0.9547199999999476 y[1] (numeric) = 0.9547200000002657 absolute error = 3.180788965551073e-13 relative error = 3.331645891519239e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.569999999999942 y[1] (closed_form) = 0.9639799999999463 y[1] (numeric) = 0.9639800000002654 absolute error = 3.1907809727727e-13 relative error = 3.310007440790138e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.579999999999941 y[1] (closed_form) = 0.9732799999999451 y[1] (numeric) = 0.9732800000002652 absolute error = 3.200772979994326e-13 relative error = 3.28864559016368e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.58999999999994 y[1] (closed_form) = 0.9826199999999439 y[1] (numeric) = 0.9826200000002649 absolute error = 3.210764987215953e-13 relative error = 3.267555094763119e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.599999999999939 y[1] (closed_form) = 0.9919999999999425 y[1] (numeric) = 0.9920000000002647 absolute error = 3.221867217462204e-13 relative error = 3.247850017603217e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.609999999999938 y[1] (closed_form) = 1.001419999999941 y[1] (numeric) = 1.001420000000264 absolute error = 3.232969447708456e-13 relative error = 3.228385140808697e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.619999999999937 y[1] (closed_form) = 1.01087999999994 y[1] (numeric) = 1.010880000000264 absolute error = 3.246292124003958e-13 relative error = 3.211352607633103e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.629999999999936 y[1] (closed_form) = 1.020379999999939 y[1] (numeric) = 1.020380000000264 absolute error = 3.252953462151709e-13 relative error = 3.187982381222588e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.639999999999934 y[1] (closed_form) = 1.029919999999937 y[1] (numeric) = 1.029920000000264 absolute error = 3.266276138447211e-13 relative error = 3.171388203401633e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.649999999999933 y[1] (closed_form) = 1.039499999999936 y[1] (numeric) = 1.039500000000263 absolute error = 3.272937476594961e-13 relative error = 3.148569001053548e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.659999999999932 y[1] (closed_form) = 1.049119999999935 y[1] (numeric) = 1.049120000000263 absolute error = 3.288480598939714e-13 relative error = 3.134513305379669e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.669999999999931 y[1] (closed_form) = 1.058779999999933 y[1] (numeric) = 1.058780000000263 absolute error = 3.292921491038214e-13 relative error = 3.110109268250648e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.67999999999993 y[1] (closed_form) = 1.068479999999932 y[1] (numeric) = 1.068480000000263 absolute error = 3.308464613382966e-13 relative error = 3.096421658227741e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.689999999999929 y[1] (closed_form) = 1.078219999999931 y[1] (numeric) = 1.078220000000262 absolute error = 3.315125951530717e-13 relative error = 3.074628509516546e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.699999999999928 y[1] (closed_form) = 1.087999999999929 y[1] (numeric) = 1.088000000000262 absolute error = 3.328448627826219e-13 relative error = 3.059235871164003e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.709999999999927 y[1] (closed_form) = 1.097819999999928 y[1] (numeric) = 1.097820000000262 absolute error = 3.33510996597397e-13 relative error = 3.037938793221283e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.719999999999926 y[1] (closed_form) = 1.107679999999927 y[1] (numeric) = 1.107680000000262 absolute error = 3.350653088318722e-13 relative error = 3.024928759496375e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.729999999999924 y[1] (closed_form) = 1.117579999999925 y[1] (numeric) = 1.117580000000261 absolute error = 3.357314426466473e-13 relative error = 3.004093153480465e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.739999999999923 y[1] (closed_form) = 1.127519999999924 y[1] (numeric) = 1.127520000000261 absolute error = 3.372857548811226e-13 relative error = 2.991394874424803e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.749999999999922 y[1] (closed_form) = 1.137499999999922 y[1] (numeric) = 1.13750000000026 absolute error = 3.379518886958977e-13 relative error = 2.971005614909193e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.759999999999921 y[1] (closed_form) = 1.147519999999921 y[1] (numeric) = 1.14752000000026 absolute error = 3.392841563254478e-13 relative error = 2.956673141430835e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.76999999999992 y[1] (closed_form) = 1.157579999999919 y[1] (numeric) = 1.15758000000026 absolute error = 3.40394379350073e-13 relative error = 2.940568939944511e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.779999999999919 y[1] (closed_form) = 1.167679999999918 y[1] (numeric) = 1.16768000000026 absolute error = 3.415046023746982e-13 relative error = 2.924642045549483e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.789999999999918 y[1] (closed_form) = 1.177819999999917 y[1] (numeric) = 1.177820000000259 absolute error = 3.426148253993233e-13 relative error = 2.908889519615456e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.799999999999917 y[1] (closed_form) = 1.187999999999915 y[1] (numeric) = 1.188000000000259 absolute error = 3.435030038190234e-13 relative error = 2.891439426086262e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.809999999999916 y[1] (closed_form) = 1.198219999999914 y[1] (numeric) = 1.198220000000259 absolute error = 3.448352714485736e-13 relative error = 2.877896141347987e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.819999999999915 y[1] (closed_form) = 1.208479999999912 y[1] (numeric) = 1.208480000000258 absolute error = 3.459454944731988e-13 relative error = 2.862649729190586e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.829999999999913 y[1] (closed_form) = 1.218779999999911 y[1] (numeric) = 1.218780000000258 absolute error = 3.470557174978239e-13 relative error = 2.847566562446457e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.839999999999912 y[1] (closed_form) = 1.229119999999909 y[1] (numeric) = 1.229120000000258 absolute error = 3.481659405224491e-13 relative error = 2.83264400971813e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.849999999999911 y[1] (closed_form) = 1.239499999999908 y[1] (numeric) = 1.239500000000257 absolute error = 3.497202527569243e-13 relative error = 2.821462305421141e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.85999999999991 y[1] (closed_form) = 1.249919999999906 y[1] (numeric) = 1.249920000000257 absolute error = 3.506084311766244e-13 relative error = 2.805046972419441e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.869999999999909 y[1] (closed_form) = 1.260379999999905 y[1] (numeric) = 1.260380000000257 absolute error = 3.519406988061746e-13 relative error = 2.79233801556833e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.879999999999908 y[1] (closed_form) = 1.270879999999903 y[1] (numeric) = 1.270880000000256 absolute error = 3.528288772258747e-13 relative error = 2.776256430393913e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.889999999999907 y[1] (closed_form) = 1.281419999999902 y[1] (numeric) = 1.281420000000256 absolute error = 3.5438318946035e-13 relative error = 2.765550634923578e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.899999999999906 y[1] (closed_form) = 1.2919999999999 y[1] (numeric) = 1.292000000000255 absolute error = 3.548272786702e-13 relative error = 2.746341166178231e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.909999999999905 y[1] (closed_form) = 1.302619999999899 y[1] (numeric) = 1.302620000000255 absolute error = 3.566036355096003e-13 relative error = 2.737587596610124e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.919999999999904 y[1] (closed_form) = 1.313279999999897 y[1] (numeric) = 1.313280000000254 absolute error = 3.572697693243754e-13 relative error = 2.720438667492106e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.929999999999902 y[1] (closed_form) = 1.323979999999896 y[1] (numeric) = 1.323980000000255 absolute error = 3.590461261637756e-13 relative error = 2.711869712260034e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.939999999999901 y[1] (closed_form) = 1.334719999999894 y[1] (numeric) = 1.334720000000254 absolute error = 3.597122599785507e-13 relative error = 2.695039109165812e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9499999999999 y[1] (closed_form) = 1.345499999999892 y[1] (numeric) = 1.345500000000254 absolute error = 3.612665722130259e-13 relative error = 2.684998678655183e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999899 y[1] (closed_form) = 1.356319999999891 y[1] (numeric) = 1.356320000000253 absolute error = 3.621547506327261e-13 relative error = 2.670127629414557e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999898 y[1] (closed_form) = 1.367179999999889 y[1] (numeric) = 1.367180000000253 absolute error = 3.634870182622763e-13 relative error = 2.658662489667094e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999897 y[1] (closed_form) = 1.378079999999887 y[1] (numeric) = 1.378080000000252 absolute error = 3.645972412869014e-13 relative error = 2.645689954769906e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999896 y[1] (closed_form) = 1.389019999999886 y[1] (numeric) = 1.389020000000252 absolute error = 3.661515535213766e-13 relative error = 2.636042342956953e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999895 y[1] (closed_form) = 1.399999999999884 y[1] (numeric) = 1.400000000000251 absolute error = 3.668176873361517e-13 relative error = 2.620126338115586e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.009999999999894 y[1] (closed_form) = 1.411019999999883 y[1] (numeric) = 1.411020000000251 absolute error = 3.683719995706269e-13 relative error = 2.610678796690746e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999893 y[1] (closed_form) = 1.422079999999881 y[1] (numeric) = 1.42208000000025 absolute error = 3.694822225952521e-13 relative error = 2.598181695792663e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999891 y[1] (closed_form) = 1.433179999999879 y[1] (numeric) = 1.43318000000025 absolute error = 3.708144902248023e-13 relative error = 2.587354625551804e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.03999999999989 y[1] (closed_form) = 1.444319999999878 y[1] (numeric) = 1.44432000000025 absolute error = 3.719247132494274e-13 relative error = 2.575085252918044e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999889 y[1] (closed_form) = 1.455499999999876 y[1] (numeric) = 1.455500000000249 absolute error = 3.732569808789776e-13 relative error = 2.564458817444242e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999888 y[1] (closed_form) = 1.466719999999874 y[1] (numeric) = 1.466720000000249 absolute error = 3.743672039036028e-13 relative error = 2.5524108480394e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999887 y[1] (closed_form) = 1.477979999999873 y[1] (numeric) = 1.477980000000248 absolute error = 3.75699471533153e-13 relative error = 2.541979401163651e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.079999999999886 y[1] (closed_form) = 1.489279999999871 y[1] (numeric) = 1.489280000000248 absolute error = 3.770317391627032e-13 relative error = 2.531637698503544e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.089999999999885 y[1] (closed_form) = 1.500619999999869 y[1] (numeric) = 1.500620000000247 absolute error = 3.781419621873283e-13 relative error = 2.519904853909459e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.099999999999884 y[1] (closed_form) = 1.511999999999868 y[1] (numeric) = 1.512000000000247 absolute error = 3.794742298168785e-13 relative error = 2.509750197201797e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999883 y[1] (closed_form) = 1.523419999999866 y[1] (numeric) = 1.523420000000246 absolute error = 3.805844528415037e-13 relative error = 2.498224080303115e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999882 y[1] (closed_form) = 1.534879999999864 y[1] (numeric) = 1.534880000000246 absolute error = 3.821387650759789e-13 relative error = 2.489697989914604e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.12999999999988 y[1] (closed_form) = 1.546379999999862 y[1] (numeric) = 1.546380000000245 absolute error = 3.83026943495679e-13 relative error = 2.476926392579528e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.139999999999879 y[1] (closed_form) = 1.557919999999861 y[1] (numeric) = 1.557920000000245 absolute error = 3.845812557301542e-13 relative error = 2.468555867632411e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.149999999999878 y[1] (closed_form) = 1.569499999999859 y[1] (numeric) = 1.569500000000244 absolute error = 3.854694341498544e-13 relative error = 2.456001491875687e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.159999999999877 y[1] (closed_form) = 1.581119999999857 y[1] (numeric) = 1.581120000000244 absolute error = 3.872457909892546e-13 relative error = 2.449186595510079e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.169999999999876 y[1] (closed_form) = 1.592779999999855 y[1] (numeric) = 1.592780000000243 absolute error = 3.881339694089547e-13 relative error = 2.436833520065483e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.179999999999875 y[1] (closed_form) = 1.604479999999854 y[1] (numeric) = 1.604480000000243 absolute error = 3.89910326248355e-13 relative error = 2.430135160602753e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.189999999999874 y[1] (closed_form) = 1.616219999999852 y[1] (numeric) = 1.616220000000242 absolute error = 3.907985046680551e-13 relative error = 2.417978398164179e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.199999999999873 y[1] (closed_form) = 1.62799999999985 y[1] (numeric) = 1.628000000000242 absolute error = 3.923528169025303e-13 relative error = 2.410029587853602e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.209999999999872 y[1] (closed_form) = 1.639819999999848 y[1] (numeric) = 1.639820000000241 absolute error = 3.934630399271555e-13 relative error = 2.399428229483675e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.219999999999871 y[1] (closed_form) = 1.651679999999846 y[1] (numeric) = 1.651680000000241 absolute error = 3.950173521616307e-13 relative error = 2.391609465281819e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.229999999999869 y[1] (closed_form) = 1.663579999999844 y[1] (numeric) = 1.66358000000024 absolute error = 3.959055305813308e-13 relative error = 2.379840648368986e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.239999999999868 y[1] (closed_form) = 1.675519999999842 y[1] (numeric) = 1.67552000000024 absolute error = 3.976818874207311e-13 relative error = 2.373483380805771e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.249999999999867 y[1] (closed_form) = 1.687499999999841 y[1] (numeric) = 1.687500000000239 absolute error = 3.987921104453562e-13 relative error = 2.363212506343075e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.259999999999866 y[1] (closed_form) = 1.699519999999839 y[1] (numeric) = 1.699520000000239 absolute error = 4.001243780749064e-13 relative error = 2.354337566341934e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.269999999999865 y[1] (closed_form) = 1.711579999999837 y[1] (numeric) = 1.711580000000238 absolute error = 4.012346010995316e-13 relative error = 2.34423515757119e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.279999999999864 y[1] (closed_form) = 1.723679999999835 y[1] (numeric) = 1.723680000000238 absolute error = 4.027889133340068e-13 relative error = 2.336796350448142e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.289999999999863 y[1] (closed_form) = 1.735819999999833 y[1] (numeric) = 1.735820000000237 absolute error = 4.038991363586319e-13 relative error = 2.326849191498374e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.299999999999862 y[1] (closed_form) = 1.747999999999831 y[1] (numeric) = 1.748000000000237 absolute error = 4.052314039881821e-13 relative error = 2.318257459886849e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.309999999999861 y[1] (closed_form) = 1.760219999999829 y[1] (numeric) = 1.760220000000236 absolute error = 4.067857162226574e-13 relative error = 2.310993604337508e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.31999999999986 y[1] (closed_form) = 1.772479999999828 y[1] (numeric) = 1.772480000000236 absolute error = 4.081179838522075e-13 relative error = 2.30252518421786e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.329999999999858 y[1] (closed_form) = 1.784779999999826 y[1] (numeric) = 1.784780000000235 absolute error = 4.096722960866828e-13 relative error = 2.295365793468791e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.339999999999857 y[1] (closed_form) = 1.797119999999824 y[1] (numeric) = 1.797120000000235 absolute error = 4.107825191113079e-13 relative error = 2.285782357946872e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.349999999999856 y[1] (closed_form) = 1.809499999999822 y[1] (numeric) = 1.809500000000234 absolute error = 4.123368313457831e-13 relative error = 2.278733524983828e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.359999999999855 y[1] (closed_form) = 1.82191999999982 y[1] (numeric) = 1.821920000000233 absolute error = 4.136690989753333e-13 relative error = 2.270511871955817e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.369999999999854 y[1] (closed_form) = 1.834379999999818 y[1] (numeric) = 1.834380000000233 absolute error = 4.152234112098085e-13 relative error = 2.263562681722706e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.379999999999853 y[1] (closed_form) = 1.846879999999816 y[1] (numeric) = 1.846880000000232 absolute error = 4.163336342344337e-13 relative error = 2.254253845590808e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.389999999999852 y[1] (closed_form) = 1.859419999999814 y[1] (numeric) = 1.859420000000232 absolute error = 4.178879464689089e-13 relative error = 2.247410194947622e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.399999999999851 y[1] (closed_form) = 1.871999999999812 y[1] (numeric) = 1.872000000000231 absolute error = 4.18776124888609e-13 relative error = 2.237051949191512e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.40999999999985 y[1] (closed_form) = 1.88461999999981 y[1] (numeric) = 1.884620000000231 absolute error = 4.207745263329343e-13 relative error = 2.232675692356957e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.419999999999848 y[1] (closed_form) = 1.897279999999808 y[1] (numeric) = 1.89728000000023 absolute error = 4.216627047526345e-13 relative error = 2.222459018978101e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.429999999999847 y[1] (closed_form) = 1.909979999999806 y[1] (numeric) = 1.90998000000023 absolute error = 4.236611061969597e-13 relative error = 2.218144201494271e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.439999999999846 y[1] (closed_form) = 1.922719999999804 y[1] (numeric) = 1.922720000000228 absolute error = 4.243272400117348e-13 relative error = 2.206911250789392e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.449999999999845 y[1] (closed_form) = 1.935499999999802 y[1] (numeric) = 1.935500000000228 absolute error = 4.261035968511351e-13 relative error = 2.201516904423553e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.459999999999844 y[1] (closed_form) = 1.9483199999998 y[1] (numeric) = 1.948320000000227 absolute error = 4.272138198757602e-13 relative error = 2.192729222488113e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.469999999999843 y[1] (closed_form) = 1.961179999999798 y[1] (numeric) = 1.961180000000227 absolute error = 4.287681321102355e-13 relative error = 2.186276283208474e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.479999999999842 y[1] (closed_form) = 1.974079999999796 y[1] (numeric) = 1.974080000000226 absolute error = 4.298783551348606e-13 relative error = 2.177613648559861e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.489999999999841 y[1] (closed_form) = 1.987019999999794 y[1] (numeric) = 1.987020000000226 absolute error = 4.318767565791859e-13 relative error = 2.173489731251979e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.49999999999984 y[1] (closed_form) = 1.999999999999792 y[1] (numeric) = 2.000000000000225 absolute error = 4.329869796038111e-13 relative error = 2.164934898019281e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.509999999999839 y[1] (closed_form) = 2.01301999999979 y[1] (numeric) = 2.013020000000224 absolute error = 4.343192472333612e-13 relative error = 2.157550581879001e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.519999999999837 y[1] (closed_form) = 2.026079999999788 y[1] (numeric) = 2.026080000000223 absolute error = 4.356515148629114e-13 relative error = 2.15021872217759e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.529999999999836 y[1] (closed_form) = 2.039179999999785 y[1] (numeric) = 2.039180000000222 absolute error = 4.369837824924616e-13 relative error = 2.142938742497021e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.539999999999835 y[1] (closed_form) = 2.052319999999783 y[1] (numeric) = 2.052320000000222 absolute error = 4.387601393318619e-13 relative error = 2.137873915042041e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.549999999999834 y[1] (closed_form) = 2.065499999999781 y[1] (numeric) = 2.065500000000221 absolute error = 4.400924069614121e-13 relative error = 2.13068219298697e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.559999999999833 y[1] (closed_form) = 2.078719999999779 y[1] (numeric) = 2.07872000000022 absolute error = 4.414246745909622e-13 relative error = 2.123540806799421e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.569999999999832 y[1] (closed_form) = 2.091979999999777 y[1] (numeric) = 2.09198000000022 absolute error = 4.427569422205124e-13 relative error = 2.116449211849825e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.579999999999831 y[1] (closed_form) = 2.105279999999775 y[1] (numeric) = 2.105280000000219 absolute error = 4.440892098500626e-13 relative error = 2.109406871533051e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.58999999999983 y[1] (closed_form) = 2.118619999999773 y[1] (numeric) = 2.118620000000218 absolute error = 4.458655666894629e-13 relative error = 2.10450938200107e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.599999999999829 y[1] (closed_form) = 2.131999999999771 y[1] (numeric) = 2.132000000000217 absolute error = 4.46753745109163e-13 relative error = 2.095467847604179e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.609999999999828 y[1] (closed_form) = 2.145419999999768 y[1] (numeric) = 2.145420000000217 absolute error = 4.485301019485632e-13 relative error = 2.090640070236185e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.619999999999826 y[1] (closed_form) = 2.158879999999766 y[1] (numeric) = 2.158880000000216 absolute error = 4.503064587879635e-13 relative error = 2.085833667401673e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.629999999999825 y[1] (closed_form) = 2.172379999999764 y[1] (numeric) = 2.172380000000216 absolute error = 4.520828156273637e-13 relative error = 2.081048507293443e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.639999999999824 y[1] (closed_form) = 2.185919999999762 y[1] (numeric) = 2.185920000000215 absolute error = 4.529709940470639e-13 relative error = 2.072221280042788e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.649999999999823 y[1] (closed_form) = 2.199499999999759 y[1] (numeric) = 2.199500000000215 absolute error = 4.551914400963142e-13 relative error = 2.069522346425842e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.659999999999822 y[1] (closed_form) = 2.213119999999757 y[1] (numeric) = 2.213120000000214 absolute error = 4.565237077258644e-13 relative error = 2.062805937888205e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.669999999999821 y[1] (closed_form) = 2.226779999999755 y[1] (numeric) = 2.226780000000213 absolute error = 4.583000645652646e-13 relative error = 2.058129067825807e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.67999999999982 y[1] (closed_form) = 2.240479999999753 y[1] (numeric) = 2.240480000000212 absolute error = 4.591882429849647e-13 relative error = 2.049508332968897e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.689999999999819 y[1] (closed_form) = 2.254219999999751 y[1] (numeric) = 2.254220000000212 absolute error = 4.614086890342151e-13 relative error = 2.046866273186584e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.699999999999818 y[1] (closed_form) = 2.267999999999748 y[1] (numeric) = 2.268000000000211 absolute error = 4.622968674539152e-13 relative error = 2.038345976428424e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.709999999999817 y[1] (closed_form) = 2.281819999999746 y[1] (numeric) = 2.28182000000021 absolute error = 4.640732242933154e-13 relative error = 2.033785418189722e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.719999999999815 y[1] (closed_form) = 2.295679999999744 y[1] (numeric) = 2.295680000000209 absolute error = 4.654054919228656e-13 relative error = 2.02730995575567e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.729999999999814 y[1] (closed_form) = 2.309579999999742 y[1] (numeric) = 2.309580000000209 absolute error = 4.671818487622659e-13 relative error = 2.022800027547512e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.739999999999813 y[1] (closed_form) = 2.323519999999739 y[1] (numeric) = 2.323520000000208 absolute error = 4.685141163918161e-13 relative error = 2.016398035703883e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.749999999999812 y[1] (closed_form) = 2.337499999999737 y[1] (numeric) = 2.337500000000207 absolute error = 4.698463840213662e-13 relative error = 2.010038006508745e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.759999999999811 y[1] (closed_form) = 2.351519999999735 y[1] (numeric) = 2.351520000000206 absolute error = 4.711786516509164e-13 relative error = 2.003719516104348e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.76999999999981 y[1] (closed_form) = 2.365579999999732 y[1] (numeric) = 2.365580000000205 absolute error = 4.729550084903167e-13 relative error = 1.999319441702966e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.779999999999809 y[1] (closed_form) = 2.37967999999973 y[1] (numeric) = 2.379680000000204 absolute error = 4.742872761198669e-13 relative error = 1.993071657197273e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.789999999999808 y[1] (closed_form) = 2.393819999999728 y[1] (numeric) = 2.393820000000204 absolute error = 4.760636329592671e-13 relative error = 1.988719423178523e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.799999999999807 y[1] (closed_form) = 2.407999999999725 y[1] (numeric) = 2.408000000000203 absolute error = 4.773959005888173e-13 relative error = 1.982541115402291e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.809999999999806 y[1] (closed_form) = 2.422219999999723 y[1] (numeric) = 2.422220000000202 absolute error = 4.791722574282176e-13 relative error = 1.978235905195533e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.819999999999804 y[1] (closed_form) = 2.436479999999721 y[1] (numeric) = 2.436480000000202 absolute error = 4.809486142676178e-13 relative error = 1.973948541616073e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.829999999999803 y[1] (closed_form) = 2.450779999999718 y[1] (numeric) = 2.450780000000201 absolute error = 4.82280881897168e-13 relative error = 1.967866890937675e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.839999999999802 y[1] (closed_form) = 2.465119999999716 y[1] (numeric) = 2.4651200000002 absolute error = 4.840572387365683e-13 relative error = 1.963625457327124e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.849999999999801 y[1] (closed_form) = 2.479499999999713 y[1] (numeric) = 2.479500000000199 absolute error = 4.858335955759685e-13 relative error = 1.959401474394131e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.8599999999998 y[1] (closed_form) = 2.493919999999711 y[1] (numeric) = 2.493920000000199 absolute error = 4.876099524153688e-13 relative error = 1.955194843521144e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.869999999999799 y[1] (closed_form) = 2.508379999999709 y[1] (numeric) = 2.508380000000197 absolute error = 4.884981308350689e-13 relative error = 1.9474646219278e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.879999999999798 y[1] (closed_form) = 2.522879999999706 y[1] (numeric) = 2.522880000000197 absolute error = 4.907185768843192e-13 relative error = 1.94507299944657e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.889999999999797 y[1] (closed_form) = 2.537419999999704 y[1] (numeric) = 2.537420000000196 absolute error = 4.920508445138694e-13 relative error = 1.939177765265217e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.899999999999796 y[1] (closed_form) = 2.551999999999702 y[1] (numeric) = 2.552000000000195 absolute error = 4.938272013532696e-13 relative error = 1.935059566431534e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.909999999999795 y[1] (closed_form) = 2.566619999999699 y[1] (numeric) = 2.566620000000194 absolute error = 4.947153797729698e-13 relative error = 1.927497564006467e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.919999999999793 y[1] (closed_form) = 2.581279999999697 y[1] (numeric) = 2.581280000000194 absolute error = 4.969358258222201e-13 relative error = 1.925152737487907e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.929999999999792 y[1] (closed_form) = 2.595979999999694 y[1] (numeric) = 2.595980000000192 absolute error = 4.978240042419202e-13 relative error = 1.917672725683475e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.939999999999791 y[1] (closed_form) = 2.610719999999692 y[1] (numeric) = 2.610720000000192 absolute error = 5.000444502911705e-13 relative error = 1.915350747269832e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.94999999999979 y[1] (closed_form) = 2.625499999999689 y[1] (numeric) = 2.625500000000191 absolute error = 5.013767179207207e-13 relative error = 1.909642802973834e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.959999999999789 y[1] (closed_form) = 2.640319999999687 y[1] (numeric) = 2.640320000000191 absolute error = 5.03597163969971e-13 relative error = 1.907333823059443e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.969999999999788 y[1] (closed_form) = 2.655179999999684 y[1] (numeric) = 2.655180000000189 absolute error = 5.049294315995212e-13 relative error = 1.901676841493161e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.979999999999787 y[1] (closed_form) = 2.670079999999682 y[1] (numeric) = 2.670080000000189 absolute error = 5.067057884389214e-13 relative error = 1.897717628082236e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.989999999999786 y[1] (closed_form) = 2.68501999999968 y[1] (numeric) = 2.685020000000188 absolute error = 5.080380560684716e-13 relative error = 1.892120193028478e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.999999999999785 y[1] (closed_form) = 2.699999999999677 y[1] (numeric) = 2.700000000000187 absolute error = 5.102585021177219e-13 relative error = 1.889846304139937e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.009999999999784 y[1] (closed_form) = 2.715019999999675 y[1] (numeric) = 2.715020000000186 absolute error = 5.111466805374221e-13 relative error = 1.882662671131274e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.019999999999782 y[1] (closed_form) = 2.730079999999672 y[1] (numeric) = 2.730080000000185 absolute error = 5.129230373768223e-13 relative error = 1.878783908811771e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.029999999999781 y[1] (closed_form) = 2.74517999999967 y[1] (numeric) = 2.745180000000184 absolute error = 5.146993942162226e-13 relative error = 1.874920384879259e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.03999999999978 y[1] (closed_form) = 2.760319999999667 y[1] (numeric) = 2.760320000000184 absolute error = 5.164757510556228e-13 relative error = 1.871072017214255e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.049999999999779 y[1] (closed_form) = 2.775499999999664 y[1] (numeric) = 2.775500000000183 absolute error = 5.182521078950231e-13 relative error = 1.867238724176133e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.059999999999778 y[1] (closed_form) = 2.790719999999662 y[1] (numeric) = 2.790720000000181 absolute error = 5.195843755245733e-13 relative error = 1.861829117663672e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.069999999999777 y[1] (closed_form) = 2.805979999999659 y[1] (numeric) = 2.805980000000181 absolute error = 5.213607323639735e-13 relative error = 1.858034385006439e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.079999999999776 y[1] (closed_form) = 2.821279999999657 y[1] (numeric) = 2.82128000000018 absolute error = 5.226929999935237e-13 relative error = 1.852680343651064e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.089999999999775 y[1] (closed_form) = 2.836619999999654 y[1] (numeric) = 2.836620000000179 absolute error = 5.244693568329239e-13 relative error = 1.848923566896475e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.099999999999774 y[1] (closed_form) = 2.851999999999651 y[1] (numeric) = 2.852000000000178 absolute error = 5.262457136723242e-13 relative error = 1.845181324236987e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.109999999999773 y[1] (closed_form) = 2.867419999999649 y[1] (numeric) = 2.867420000000177 absolute error = 5.275779813018744e-13 relative error = 1.83990479700197e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.119999999999771 y[1] (closed_form) = 2.882879999999647 y[1] (numeric) = 2.882880000000176 absolute error = 5.293543381412746e-13 relative error = 1.836199696627468e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.12999999999977 y[1] (closed_form) = 2.898379999999644 y[1] (numeric) = 2.898380000000175 absolute error = 5.31574784190525e-13 relative error = 1.834041030474231e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.139999999999769 y[1] (closed_form) = 2.913919999999641 y[1] (numeric) = 2.913920000000174 absolute error = 5.329070518200751e-13 relative error = 1.828832129297101e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.149999999999768 y[1] (closed_form) = 2.929499999999639 y[1] (numeric) = 2.929500000000174 absolute error = 5.351274978693255e-13 relative error = 1.826685433928628e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.159999999999767 y[1] (closed_form) = 2.945119999999636 y[1] (numeric) = 2.945120000000172 absolute error = 5.364597654988756e-13 relative error = 1.821520907463675e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.169999999999766 y[1] (closed_form) = 2.960779999999633 y[1] (numeric) = 2.960780000000172 absolute error = 5.39124300757976e-13 relative error = 1.820886052857838e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.179999999999765 y[1] (closed_form) = 2.97647999999963 y[1] (numeric) = 2.976480000000171 absolute error = 5.404565683875262e-13 relative error = 1.815757432899241e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.189999999999764 y[1] (closed_form) = 2.992219999999628 y[1] (numeric) = 2.99222000000017 absolute error = 5.426770144367765e-13 relative error = 1.813626720083564e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.199999999999763 y[1] (closed_form) = 3.007999999999625 y[1] (numeric) = 3.008000000000169 absolute error = 5.435651928564766e-13 relative error = 1.807065135826278e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.209999999999761 y[1] (closed_form) = 3.023819999999622 y[1] (numeric) = 3.023820000000168 absolute error = 5.45785638905727e-13 relative error = 1.80495412724896e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.21999999999976 y[1] (closed_form) = 3.03967999999962 y[1] (numeric) = 3.039680000000167 absolute error = 5.471179065352771e-13 relative error = 1.799919420910575e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.229999999999759 y[1] (closed_form) = 3.055579999999617 y[1] (numeric) = 3.055580000000166 absolute error = 5.488942633746774e-13 relative error = 1.796366854655241e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.239999999999758 y[1] (closed_form) = 3.071519999999614 y[1] (numeric) = 3.071520000000165 absolute error = 5.506706202140776e-13 relative error = 1.792827721174359e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.249999999999757 y[1] (closed_form) = 3.087499999999611 y[1] (numeric) = 3.087500000000164 absolute error = 5.524469770534779e-13 relative error = 1.789301949971004e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.259999999999756 y[1] (closed_form) = 3.103519999999609 y[1] (numeric) = 3.103520000000163 absolute error = 5.537792446830281e-13 relative error = 1.784358549914606e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.269999999999755 y[1] (closed_form) = 3.119579999999606 y[1] (numeric) = 3.119580000000162 absolute error = 5.559996907322784e-13 relative error = 1.78229021449153e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.279999999999754 y[1] (closed_form) = 3.135679999999604 y[1] (numeric) = 3.135680000000161 absolute error = 5.568878691519785e-13 relative error = 1.775971620675735e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.289999999999753 y[1] (closed_form) = 3.1518199999996 y[1] (numeric) = 3.15182000000016 absolute error = 5.595524044110789e-13 relative error = 1.775331092547004e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.299999999999752 y[1] (closed_form) = 3.167999999999598 y[1] (numeric) = 3.168000000000159 absolute error = 5.608846720406291e-13 relative error = 1.770469293057766e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.30999999999975 y[1] (closed_form) = 3.184219999999595 y[1] (numeric) = 3.184220000000158 absolute error = 5.631051180898794e-13 relative error = 1.768424035053957e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.319999999999749 y[1] (closed_form) = 3.200479999999592 y[1] (numeric) = 3.200480000000157 absolute error = 5.648814749292796e-13 relative error = 1.764989860675123e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.329999999999748 y[1] (closed_form) = 3.21677999999959 y[1] (numeric) = 3.216780000000156 absolute error = 5.662137425588298e-13 relative error = 1.760187959881938e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.339999999999747 y[1] (closed_form) = 3.233119999999587 y[1] (numeric) = 3.233120000000155 absolute error = 5.684341886080801e-13 relative error = 1.75815988459492e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.349999999999746 y[1] (closed_form) = 3.249499999999584 y[1] (numeric) = 3.249500000000154 absolute error = 5.702105454474804e-13 relative error = 1.754763949677038e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.359999999999745 y[1] (closed_form) = 3.265919999999581 y[1] (numeric) = 3.265920000000153 absolute error = 5.719869022868806e-13 relative error = 1.751380628695602e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.369999999999744 y[1] (closed_form) = 3.282379999999578 y[1] (numeric) = 3.282380000000152 absolute error = 5.737632591262809e-13 relative error = 1.748009856038468e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.379999999999743 y[1] (closed_form) = 3.298879999999575 y[1] (numeric) = 3.298880000000151 absolute error = 5.759837051755312e-13 relative error = 1.745997748252757e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.389999999999742 y[1] (closed_form) = 3.315419999999572 y[1] (numeric) = 3.31542000000015 absolute error = 5.773159728050814e-13 relative error = 1.741305695221588e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.399999999999741 y[1] (closed_form) = 3.33199999999957 y[1] (numeric) = 3.332000000000149 absolute error = 5.790923296444817e-13 relative error = 1.737972177804791e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.409999999999739 y[1] (closed_form) = 3.348619999999567 y[1] (numeric) = 3.348620000000147 absolute error = 5.804245972740318e-13 relative error = 1.733324764452541e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.419999999999738 y[1] (closed_form) = 3.365279999999564 y[1] (numeric) = 3.365280000000147 absolute error = 5.826450433232822e-13 relative error = 1.731341948733412e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.429999999999737 y[1] (closed_form) = 3.381979999999561 y[1] (numeric) = 3.381980000000145 absolute error = 5.844214001626824e-13 relative error = 1.728045110150735e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.439999999999736 y[1] (closed_form) = 3.398719999999558 y[1] (numeric) = 3.398720000000145 absolute error = 5.870859354217828e-13 relative error = 1.727373644848235e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.449999999999735 y[1] (closed_form) = 3.415499999999555 y[1] (numeric) = 3.415500000000143 absolute error = 5.88418203051333e-13 relative error = 1.722787887721885e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.459999999999734 y[1] (closed_form) = 3.432319999999552 y[1] (numeric) = 3.432320000000143 absolute error = 5.906386491005833e-13 relative error = 1.720814635875036e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.469999999999733 y[1] (closed_form) = 3.449179999999549 y[1] (numeric) = 3.449180000000141 absolute error = 5.924150059399835e-13 relative error = 1.717553174783748e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.479999999999732 y[1] (closed_form) = 3.466079999999546 y[1] (numeric) = 3.466080000000141 absolute error = 5.946354519892338e-13 relative error = 1.715584902798873e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.489999999999731 y[1] (closed_form) = 3.483019999999543 y[1] (numeric) = 3.483020000000139 absolute error = 5.95967719618784e-13 relative error = 1.711066027811676e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.49999999999973 y[1] (closed_form) = 3.499999999999541 y[1] (numeric) = 3.500000000000139 absolute error = 5.977440764581843e-13 relative error = 1.707840218452179e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.509999999999728 y[1] (closed_form) = 3.517019999999538 y[1] (numeric) = 3.517020000000137 absolute error = 5.995204332975845e-13 relative error = 1.704626170160145e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.519999999999727 y[1] (closed_form) = 3.534079999999535 y[1] (numeric) = 3.534080000000136 absolute error = 6.012967901369848e-13 relative error = 1.701423822146256e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.529999999999726 y[1] (closed_form) = 3.551179999999531 y[1] (numeric) = 3.551180000000135 absolute error = 6.035172361862351e-13 relative error = 1.699483653845524e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.539999999999725 y[1] (closed_form) = 3.568319999999528 y[1] (numeric) = 3.568320000000134 absolute error = 6.057376822354854e-13 relative error = 1.697543051731811e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.549999999999724 y[1] (closed_form) = 3.585499999999525 y[1] (numeric) = 3.585500000000133 absolute error = 6.075140390748857e-13 relative error = 1.694363517152325e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.559999999999723 y[1] (closed_form) = 3.602719999999523 y[1] (numeric) = 3.602720000000132 absolute error = 6.088463067044358e-13 relative error = 1.68996288000321e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.569999999999722 y[1] (closed_form) = 3.619979999999519 y[1] (numeric) = 3.619980000000131 absolute error = 6.110667527536862e-13 relative error = 1.688039029922174e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.579999999999721 y[1] (closed_form) = 3.637279999999516 y[1] (numeric) = 3.637280000000129 absolute error = 6.128431095930864e-13 relative error = 1.68489395810377e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.58999999999972 y[1] (closed_form) = 3.654619999999514 y[1] (numeric) = 3.654620000000128 absolute error = 6.146194664324867e-13 relative error = 1.681760255327691e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.599999999999719 y[1] (closed_form) = 3.67199999999951 y[1] (numeric) = 3.672000000000127 absolute error = 6.163958232718869e-13 relative error = 1.678637862941092e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.609999999999717 y[1] (closed_form) = 3.689419999999507 y[1] (numeric) = 3.689420000000126 absolute error = 6.186162693211372e-13 relative error = 1.676730405649722e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.619999999999716 y[1] (closed_form) = 3.706879999999504 y[1] (numeric) = 3.706880000000125 absolute error = 6.203926261605375e-13 relative error = 1.673624790013759e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.629999999999715 y[1] (closed_form) = 3.724379999999502 y[1] (numeric) = 3.724380000000124 absolute error = 6.221689829999377e-13 relative error = 1.670530351360551e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.639999999999714 y[1] (closed_form) = 3.741919999999499 y[1] (numeric) = 3.741920000000122 absolute error = 6.23945339839338e-13 relative error = 1.667447032110311e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.649999999999713 y[1] (closed_form) = 3.759499999999496 y[1] (numeric) = 3.759500000000122 absolute error = 6.261657858885883e-13 relative error = 1.665556020451316e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.659999999999712 y[1] (closed_form) = 3.777119999999492 y[1] (numeric) = 3.77712000000012 absolute error = 6.283862319378386e-13 relative error = 1.663664993269801e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.669999999999711 y[1] (closed_form) = 3.794779999999489 y[1] (numeric) = 3.79478000000012 absolute error = 6.31050767196939e-13 relative error = 1.662944273968515e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.67999999999971 y[1] (closed_form) = 3.812479999999486 y[1] (numeric) = 3.812480000000118 absolute error = 6.323830348264892e-13 relative error = 1.658718301018168e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.689999999999709 y[1] (closed_form) = 3.830219999999483 y[1] (numeric) = 3.830220000000117 absolute error = 6.346034808757395e-13 relative error = 1.656832977938148e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.699999999999708 y[1] (closed_form) = 3.847999999999479 y[1] (numeric) = 3.848000000000116 absolute error = 6.363798377151397e-13 relative error = 1.6537937570562e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.709999999999706 y[1] (closed_form) = 3.865819999999476 y[1] (numeric) = 3.865820000000115 absolute error = 6.3860028376439e-13 relative error = 1.651914170252305e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.719999999999705 y[1] (closed_form) = 3.883679999999473 y[1] (numeric) = 3.883680000000113 absolute error = 6.399325513939402e-13 relative error = 1.647747887040197e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.729999999999704 y[1] (closed_form) = 3.90157999999947 y[1] (numeric) = 3.901580000000112 absolute error = 6.425970866530406e-13 relative error = 1.647017584294383e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.739999999999703 y[1] (closed_form) = 3.919519999999467 y[1] (numeric) = 3.919520000000111 absolute error = 6.434852650727407e-13 relative error = 1.641745073562141e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.749999999999702 y[1] (closed_form) = 3.937499999999464 y[1] (numeric) = 3.93750000000011 absolute error = 6.461498003318411e-13 relative error = 1.64101536592236e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.759999999999701 y[1] (closed_form) = 3.955519999999461 y[1] (numeric) = 3.955520000000108 absolute error = 6.474820679613913e-13 relative error = 1.636907582217963e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.7699999999997 y[1] (closed_form) = 3.973579999999457 y[1] (numeric) = 3.973580000000107 absolute error = 6.497025140106416e-13 relative error = 1.635055828775891e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.779999999999699 y[1] (closed_form) = 3.991679999999454 y[1] (numeric) = 3.991680000000106 absolute error = 6.514788708500419e-13 relative error = 1.632091928336267e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.789999999999698 y[1] (closed_form) = 4.009819999999451 y[1] (numeric) = 4.009820000000105 absolute error = 6.536993168992922e-13 relative error = 1.630246038224613e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.799999999999697 y[1] (closed_form) = 4.027999999999448 y[1] (numeric) = 4.028000000000103 absolute error = 6.554756737386924e-13 relative error = 1.627298097663312e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.809999999999695 y[1] (closed_form) = 4.046219999999445 y[1] (numeric) = 4.046220000000102 absolute error = 6.572520305780927e-13 relative error = 1.624360589829972e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.819999999999694 y[1] (closed_form) = 4.064479999999442 y[1] (numeric) = 4.064480000000101 absolute error = 6.590283874174929e-13 relative error = 1.621433461150217e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.829999999999693 y[1] (closed_form) = 4.082779999999438 y[1] (numeric) = 4.082780000000099 absolute error = 6.608047442568932e-13 relative error = 1.618516658396936e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.839999999999692 y[1] (closed_form) = 4.101119999999435 y[1] (numeric) = 4.101120000000098 absolute error = 6.634692795159935e-13 relative error = 1.617775825911178e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.849999999999691 y[1] (closed_form) = 4.119499999999432 y[1] (numeric) = 4.119500000000096 absolute error = 6.643574579356937e-13 relative error = 1.612713819482426e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.85999999999969 y[1] (closed_form) = 4.137919999999428 y[1] (numeric) = 4.137920000000095 absolute error = 6.67021993194794e-13 relative error = 1.611974115485283e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.869999999999689 y[1] (closed_form) = 4.156379999999425 y[1] (numeric) = 4.156380000000095 absolute error = 6.696865284538944e-13 relative error = 1.611225461709437e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.879999999999688 y[1] (closed_form) = 4.174879999999422 y[1] (numeric) = 4.174880000000093 absolute error = 6.714628852932947e-13 relative error = 1.608340563784798e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.889999999999687 y[1] (closed_form) = 4.193419999999419 y[1] (numeric) = 4.193420000000092 absolute error = 6.732392421326949e-13 relative error = 1.605465806269795e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.899999999999685 y[1] (closed_form) = 4.211999999999415 y[1] (numeric) = 4.212000000000091 absolute error = 6.759037773917953e-13 relative error = 1.604709822867733e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.909999999999684 y[1] (closed_form) = 4.230619999999412 y[1] (numeric) = 4.23062000000009 absolute error = 6.776801342311956e-13 relative error = 1.601845909656953e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.919999999999683 y[1] (closed_form) = 4.249279999999409 y[1] (numeric) = 4.249280000000089 absolute error = 6.803446694902959e-13 relative error = 1.601082229202101e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.929999999999682 y[1] (closed_form) = 4.267979999999405 y[1] (numeric) = 4.267980000000088 absolute error = 6.821210263296962e-13 relative error = 1.598229200534659e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.939999999999681 y[1] (closed_form) = 4.286719999999402 y[1] (numeric) = 4.286720000000087 absolute error = 6.847855615887966e-13 relative error = 1.597458106871669e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.94999999999968 y[1] (closed_form) = 4.305499999999399 y[1] (numeric) = 4.305500000000086 absolute error = 6.865619184281968e-13 relative error = 1.594615999136668e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.959999999999679 y[1] (closed_form) = 4.324319999999395 y[1] (numeric) = 4.324320000000085 absolute error = 6.892264536872972e-13 relative error = 1.593837767989866e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.969999999999678 y[1] (closed_form) = 4.343179999999392 y[1] (numeric) = 4.343180000000083 absolute error = 6.910028105266974e-13 relative error = 1.591006613879218e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.979999999999677 y[1] (closed_form) = 4.362079999999389 y[1] (numeric) = 4.362080000000082 absolute error = 6.936673457857978e-13 relative error = 1.590221513099015e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.989999999999676 y[1] (closed_form) = 4.381019999999385 y[1] (numeric) = 4.38102000000008 absolute error = 6.954437026251981e-13 relative error = 1.587401341754422e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.999999999999674 y[1] (closed_form) = 4.399999999999382 y[1] (numeric) = 4.400000000000079 absolute error = 6.972200594645983e-13 relative error = 1.584591044237946e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.009999999999677 y[1] (closed_form) = 4.419019999999386 y[1] (numeric) = 4.419020000000078 absolute error = 6.918909889463976e-13 relative error = 1.565711377062094e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.019999999999681 y[1] (closed_form) = 4.438079999999391 y[1] (numeric) = 4.438080000000077 absolute error = 6.856737400084967e-13 relative error = 1.544978323979268e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.029999999999684 y[1] (closed_form) = 4.457179999999396 y[1] (numeric) = 4.457180000000076 absolute error = 6.794564910705958e-13 relative error = 1.524408911174078e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.039999999999687 y[1] (closed_form) = 4.476319999999402 y[1] (numeric) = 4.476320000000074 absolute error = 6.723510637129948e-13 relative error = 1.502017424386739e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.049999999999691 y[1] (closed_form) = 4.495499999999407 y[1] (numeric) = 4.495500000000073 absolute error = 6.661338147750939e-13 relative error = 1.481779145312383e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.059999999999694 y[1] (closed_form) = 4.514719999999412 y[1] (numeric) = 4.514720000000072 absolute error = 6.59916565837193e-13 relative error = 1.461699874714886e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.069999999999697 y[1] (closed_form) = 4.533979999999417 y[1] (numeric) = 4.53398000000007 absolute error = 6.52811138479592e-13 relative error = 1.439819184203891e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.079999999999701 y[1] (closed_form) = 4.553279999999422 y[1] (numeric) = 4.553280000000068 absolute error = 6.465938895416912e-13 relative error = 1.420061778633805e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.089999999999704 y[1] (closed_form) = 4.572619999999428 y[1] (numeric) = 4.572620000000067 absolute error = 6.394884621840902e-13 relative error = 1.398516522659154e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.099999999999707 y[1] (closed_form) = 4.591999999999433 y[1] (numeric) = 4.592000000000066 absolute error = 6.332712132461893e-13 relative error = 1.379074941738387e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.109999999999711 y[1] (closed_form) = 4.611419999999438 y[1] (numeric) = 4.611420000000066 absolute error = 6.279421427279885e-13 relative error = 1.36171101900947e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.119999999999714 y[1] (closed_form) = 4.630879999999443 y[1] (numeric) = 4.630880000000064 absolute error = 6.208367153703875e-13 relative error = 1.340645223738171e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.129999999999717 y[1] (closed_form) = 4.650379999999449 y[1] (numeric) = 4.650380000000063 absolute error = 6.146194664324867e-13 relative error = 1.321654287246547e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.139999999999721 y[1] (closed_form) = 4.669919999999454 y[1] (numeric) = 4.669920000000062 absolute error = 6.084022174945858e-13 relative error = 1.302810792250524e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.149999999999724 y[1] (closed_form) = 4.68949999999946 y[1] (numeric) = 4.689500000000061 absolute error = 6.012967901369848e-13 relative error = 1.282219405346101e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.159999999999727 y[1] (closed_form) = 4.709119999999465 y[1] (numeric) = 4.70912000000006 absolute error = 5.950795411990839e-13 relative error = 1.263674616911762e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.169999999999731 y[1] (closed_form) = 4.72877999999947 y[1] (numeric) = 4.728780000000059 absolute error = 5.88862292261183e-13 relative error = 1.245273183064657e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.179999999999734 y[1] (closed_form) = 4.748479999999476 y[1] (numeric) = 4.748480000000058 absolute error = 5.81756864903582e-13 relative error = 1.225143340402921e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.189999999999737 y[1] (closed_form) = 4.768219999999482 y[1] (numeric) = 4.768220000000057 absolute error = 5.755396159656812e-13 relative error = 1.207032427123211e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.199999999999741 y[1] (closed_form) = 4.787999999999487 y[1] (numeric) = 4.788000000000055 absolute error = 5.684341886080801e-13 relative error = 1.187205907702885e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.209999999999744 y[1] (closed_form) = 4.807819999999492 y[1] (numeric) = 4.807820000000055 absolute error = 5.622169396701793e-13 relative error = 1.169380175776628e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.219999999999748 y[1] (closed_form) = 4.827679999999498 y[1] (numeric) = 4.827680000000053 absolute error = 5.551115123125783e-13 relative error = 1.149851506961182e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.229999999999751 y[1] (closed_form) = 4.847579999999504 y[1] (numeric) = 4.847580000000052 absolute error = 5.480060849549773e-13 relative error = 1.13047352484133e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.239999999999754 y[1] (closed_form) = 4.86751999999951 y[1] (numeric) = 4.867520000000051 absolute error = 5.417888360170764e-13 relative error = 1.113069563180287e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.249999999999758 y[1] (closed_form) = 4.887499999999515 y[1] (numeric) = 4.887500000000051 absolute error = 5.355715870791755e-13 relative error = 1.095798643640365e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.259999999999761 y[1] (closed_form) = 4.907519999999521 y[1] (numeric) = 4.90752000000005 absolute error = 5.284661597215745e-13 relative error = 1.076849732087951e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.269999999999764 y[1] (closed_form) = 4.927579999999526 y[1] (numeric) = 4.92758000000005 absolute error = 5.231370892033738e-13 relative error = 1.061651133423352e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.279999999999768 y[1] (closed_form) = 4.947679999999533 y[1] (numeric) = 4.947680000000048 absolute error = 5.151434834260726e-13 relative error = 1.041181894193079e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.289999999999771 y[1] (closed_form) = 4.967819999999539 y[1] (numeric) = 4.967820000000048 absolute error = 5.089262344881718e-13 relative error = 1.024445802159134e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.299999999999774 y[1] (closed_form) = 4.987999999999544 y[1] (numeric) = 4.988000000000047 absolute error = 5.027089855502709e-13 relative error = 1.007836779371124e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.309999999999778 y[1] (closed_form) = 5.00821999999955 y[1] (numeric) = 5.008220000000046 absolute error = 4.956035581926699e-13 relative error = 9.895802464602481e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.319999999999781 y[1] (closed_form) = 5.028479999999556 y[1] (numeric) = 5.028480000000044 absolute error = 4.884981308350689e-13 relative error = 9.714628095072706e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.329999999999784 y[1] (closed_form) = 5.048779999999562 y[1] (numeric) = 5.048780000000044 absolute error = 4.82280881897168e-13 relative error = 9.552424187570261e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.339999999999788 y[1] (closed_form) = 5.069119999999568 y[1] (numeric) = 5.069120000000042 absolute error = 4.742872761198669e-13 relative error = 9.356402612680451e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.349999999999791 y[1] (closed_form) = 5.089499999999574 y[1] (numeric) = 5.089500000000042 absolute error = 4.68070027181966e-13 relative error = 9.196778213616371e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.359999999999794 y[1] (closed_form) = 5.10991999999958 y[1] (numeric) = 5.109920000000041 absolute error = 4.60964599824365e-13 relative error = 9.020974884624474e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.369999999999798 y[1] (closed_form) = 5.130379999999586 y[1] (numeric) = 5.13038000000004 absolute error = 4.53859172466764e-13 relative error = 8.846502061578297e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.379999999999801 y[1] (closed_form) = 5.150879999999592 y[1] (numeric) = 5.150880000000039 absolute error = 4.46753745109163e-13 relative error = 8.67334795431457e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.389999999999804 y[1] (closed_form) = 5.171419999999598 y[1] (numeric) = 5.171420000000039 absolute error = 4.405364961712621e-13 relative error = 8.518675647526142e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.399999999999808 y[1] (closed_form) = 5.191999999999604 y[1] (numeric) = 5.192000000000037 absolute error = 4.334310688136611e-13 relative error = 8.348056024917067e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.409999999999811 y[1] (closed_form) = 5.21261999999961 y[1] (numeric) = 5.212620000000038 absolute error = 4.272138198757602e-13 relative error = 8.195759903384328e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.419999999999814 y[1] (closed_form) = 5.233279999999616 y[1] (numeric) = 5.233280000000036 absolute error = 4.201083925181592e-13 relative error = 8.027630711870759e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.429999999999818 y[1] (closed_form) = 5.253979999999623 y[1] (numeric) = 5.253980000000036 absolute error = 4.130029651605582e-13 relative error = 7.860763938206614e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.439999999999821 y[1] (closed_form) = 5.274719999999629 y[1] (numeric) = 5.274720000000035 absolute error = 4.058975378029572e-13 relative error = 7.695148515996788e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.449999999999824 y[1] (closed_form) = 5.295499999999635 y[1] (numeric) = 5.295500000000034 absolute error = 3.996802888650564e-13 relative error = 7.547545819376526e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.459999999999828 y[1] (closed_form) = 5.316319999999641 y[1] (numeric) = 5.316320000000034 absolute error = 3.925748615074554e-13 relative error = 7.384334680897347e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.469999999999831 y[1] (closed_form) = 5.337179999999647 y[1] (numeric) = 5.337180000000033 absolute error = 3.854694341498544e-13 relative error = 7.222342775583357e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.479999999999834 y[1] (closed_form) = 5.358079999999654 y[1] (numeric) = 5.358080000000032 absolute error = 3.783640067922533e-13 relative error = 7.061559491315505e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.489999999999838 y[1] (closed_form) = 5.37901999999966 y[1] (numeric) = 5.379020000000032 absolute error = 3.712585794346523e-13 relative error = 6.901974326823023e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.499999999999841 y[1] (closed_form) = 5.399999999999666 y[1] (numeric) = 5.400000000000031 absolute error = 3.641531520770513e-13 relative error = 6.743576890316182e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.509999999999844 y[1] (closed_form) = 5.421019999999673 y[1] (numeric) = 5.42102000000003 absolute error = 3.570477247194503e-13 relative error = 6.586356898138578e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.519999999999848 y[1] (closed_form) = 5.442079999999679 y[1] (numeric) = 5.442080000000029 absolute error = 3.499422973618493e-13 relative error = 6.430304173438648e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.529999999999851 y[1] (closed_form) = 5.463179999999686 y[1] (numeric) = 5.463180000000029 absolute error = 3.428368700042483e-13 relative error = 6.275408644860101e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.539999999999854 y[1] (closed_form) = 5.484319999999692 y[1] (numeric) = 5.484320000000029 absolute error = 3.366196210663475e-13 relative error = 6.137855213889167e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.549999999999858 y[1] (closed_form) = 5.505499999999699 y[1] (numeric) = 5.505500000000028 absolute error = 3.295141937087465e-13 relative error = 5.985181976364808e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.559999999999861 y[1] (closed_form) = 5.526719999999705 y[1] (numeric) = 5.526720000000028 absolute error = 3.224087663511455e-13 relative error = 5.83363670226034e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.569999999999864 y[1] (closed_form) = 5.547979999999712 y[1] (numeric) = 5.547980000000027 absolute error = 3.153033389935445e-13 relative error = 5.683209726667379e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.579999999999868 y[1] (closed_form) = 5.569279999999718 y[1] (numeric) = 5.569280000000027 absolute error = 3.081979116359435e-13 relative error = 5.533891483925373e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.589999999999871 y[1] (closed_form) = 5.590619999999725 y[1] (numeric) = 5.590620000000026 absolute error = 3.010924842783425e-13 relative error = 5.385672506418917e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.599999999999874 y[1] (closed_form) = 5.611999999999732 y[1] (numeric) = 5.612000000000026 absolute error = 2.939870569207415e-13 relative error = 5.238543423391937e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.609999999999878 y[1] (closed_form) = 5.633419999999738 y[1] (numeric) = 5.633420000000025 absolute error = 2.868816295631405e-13 relative error = 5.092494959778496e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.619999999999881 y[1] (closed_form) = 5.654879999999745 y[1] (numeric) = 5.654880000000025 absolute error = 2.797762022055394e-13 relative error = 4.94751793504994e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.629999999999884 y[1] (closed_form) = 5.676379999999752 y[1] (numeric) = 5.676380000000024 absolute error = 2.717825964282383e-13 relative error = 4.787956345915006e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.639999999999888 y[1] (closed_form) = 5.697919999999758 y[1] (numeric) = 5.697920000000024 absolute error = 2.655653474903374e-13 relative error = 4.660741946014488e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.649999999999891 y[1] (closed_form) = 5.719499999999766 y[1] (numeric) = 5.719500000000023 absolute error = 2.575717417130363e-13 relative error = 4.503396131008775e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.659999999999894 y[1] (closed_form) = 5.741119999999772 y[1] (numeric) = 5.741120000000023 absolute error = 2.504663143554353e-13 relative error = 4.362673386994963e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.669999999999898 y[1] (closed_form) = 5.762779999999779 y[1] (numeric) = 5.762780000000022 absolute error = 2.424727085781342e-13 relative error = 4.207564900588665e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.679999999999901 y[1] (closed_form) = 5.784479999999786 y[1] (numeric) = 5.784480000000022 absolute error = 2.353672812205332e-13 relative error = 4.068944507035064e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.689999999999904 y[1] (closed_form) = 5.806219999999793 y[1] (numeric) = 5.806220000000021 absolute error = 2.282618538629322e-13 relative error = 3.931333188596718e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.699999999999908 y[1] (closed_form) = 5.8279999999998 y[1] (numeric) = 5.828000000000022 absolute error = 2.220446049250313e-13 relative error = 3.8099623357076e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.709999999999911 y[1] (closed_form) = 5.849819999999807 y[1] (numeric) = 5.849820000000021 absolute error = 2.140509991477302e-13 relative error = 3.659104026239051e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.719999999999914 y[1] (closed_form) = 5.871679999999813 y[1] (numeric) = 5.871680000000021 absolute error = 2.078337502098293e-13 relative error = 3.539595996543339e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.729999999999918 y[1] (closed_form) = 5.893579999999821 y[1] (numeric) = 5.89358000000002 absolute error = 1.998401444325282e-13 relative error = 3.390810753948097e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.739999999999921 y[1] (closed_form) = 5.915519999999828 y[1] (numeric) = 5.91552000000002 absolute error = 1.927347170749272e-13 relative error = 3.258119608672319e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.749999999999925 y[1] (closed_form) = 5.937499999999835 y[1] (numeric) = 5.93750000000002 absolute error = 1.84741111297626e-13 relative error = 3.111429242907472e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.759999999999928 y[1] (closed_form) = 5.959519999999841 y[1] (numeric) = 5.95952000000002 absolute error = 1.785238623597252e-13 relative error = 2.99560807514246e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.769999999999931 y[1] (closed_form) = 5.981579999999848 y[1] (numeric) = 5.981580000000019 absolute error = 1.70530256582424e-13 relative error = 2.850923277502405e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.779999999999935 y[1] (closed_form) = 6.003679999999855 y[1] (numeric) = 6.003680000000019 absolute error = 1.63424829224823e-13 relative error = 2.722077612811259e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.789999999999938 y[1] (closed_form) = 6.025819999999863 y[1] (numeric) = 6.025820000000018 absolute error = 1.554312234475219e-13 relative error = 2.579420285496836e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.799999999999941 y[1] (closed_form) = 6.04799999999987 y[1] (numeric) = 6.048000000000018 absolute error = 1.474376176702208e-13 relative error = 2.437791297457407e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.809999999999945 y[1] (closed_form) = 6.070219999999877 y[1] (numeric) = 6.070220000000018 absolute error = 1.403321903126198e-13 relative error = 2.311813909753232e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.819999999999948 y[1] (closed_form) = 6.092479999999885 y[1] (numeric) = 6.092480000000017 absolute error = 1.323385845353187e-13 relative error = 2.172162806202419e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.829999999999951 y[1] (closed_form) = 6.114779999999891 y[1] (numeric) = 6.114780000000017 absolute error = 1.252331571777177e-13 relative error = 2.048040275818916e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.839999999999955 y[1] (closed_form) = 6.137119999999899 y[1] (numeric) = 6.137120000000017 absolute error = 1.181277298201167e-13 relative error = 1.924807235643406e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.849999999999958 y[1] (closed_form) = 6.159499999999906 y[1] (numeric) = 6.159500000000016 absolute error = 1.101341240428155e-13 relative error = 1.788036756925354e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.859999999999961 y[1] (closed_form) = 6.181919999999914 y[1] (numeric) = 6.181920000000017 absolute error = 1.030286966852145e-13 relative error = 1.666613231572327e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.869999999999965 y[1] (closed_form) = 6.204379999999921 y[1] (numeric) = 6.204380000000016 absolute error = 9.50350909079134e-14 relative error = 1.531741945334016e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.879999999999968 y[1] (closed_form) = 6.226879999999928 y[1] (numeric) = 6.226880000000016 absolute error = 8.79296635503124e-14 relative error = 1.412098250653833e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.889999999999971 y[1] (closed_form) = 6.249419999999936 y[1] (numeric) = 6.249420000000017 absolute error = 8.08242361927114e-14 relative error = 1.293307798047054e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.899999999999975 y[1] (closed_form) = 6.271999999999943 y[1] (numeric) = 6.272000000000016 absolute error = 7.283063041541027e-14 relative error = 1.161202653306934e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.909999999999978 y[1] (closed_form) = 6.29461999999995 y[1] (numeric) = 6.294620000000016 absolute error = 6.572520305780927e-14 relative error = 1.044148861373837e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.919999999999981 y[1] (closed_form) = 6.317279999999958 y[1] (numeric) = 6.317280000000016 absolute error = 5.773159728050814e-14 relative error = 9.138679507716695e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.929999999999985 y[1] (closed_form) = 6.339979999999966 y[1] (numeric) = 6.339980000000016 absolute error = 4.973799150320701e-14 relative error = 7.845133817962719e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.939999999999988 y[1] (closed_form) = 6.362719999999973 y[1] (numeric) = 6.362720000000015 absolute error = 4.263256414560601e-14 relative error = 6.700367790128466e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.949999999999991 y[1] (closed_form) = 6.385499999999981 y[1] (numeric) = 6.385500000000015 absolute error = 3.463895836830488e-14 relative error = 5.424627416538249e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.959999999999995 y[1] (closed_form) = 6.408319999999988 y[1] (numeric) = 6.408320000000015 absolute error = 2.664535259100376e-14 relative error = 4.157931032002741e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.969999999999998 y[1] (closed_form) = 6.431179999999996 y[1] (numeric) = 6.431180000000015 absolute error = 1.953992523340276e-14 relative error = 3.038311046091505e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.980000000000001 y[1] (closed_form) = 6.454080000000004 y[1] (numeric) = 6.454080000000015 absolute error = 1.154631945610163e-14 relative error = 1.788995403853318e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.990000000000005 y[1] (closed_form) = 6.477020000000011 y[1] (numeric) = 6.477020000000016 absolute error = 4.440892098500626e-15 relative error = 6.856381636154618e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + ( 0.3 * x + 0.1 ) ; Iterations = 10000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %