##############ECHO OF PROBLEM################# ##############temp/lin_lnpostode.ode################# diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(20.0); x_end=c(30.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_min_h=c(0.001); glob_type_given_pole=1; array_given_rad_poles[1][1]=c(-2.0); array_given_rad_poles[1][2]=c(0.0); array_given_ord_poles[1][1]=c(1.0); array_given_ord_poles[1][2]=c(0.0); /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=false; glob_h=c(0.001); glob_display_interval=c(0.01); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(c(10.0) * (c(0.1) * c(x) + c(0.2)) * ln(c(0.1) * c(x) + c(0.2)) - c(x) - c(2.0)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 20 y[1] (closed_form) = -4.653938071986055 y[1] (numeric) = -4.653938071986055 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] = 20.01000000000001 y[1] (closed_form) = -4.646051225999404 y[1] (numeric) = -4.646051225999413 absolute error = 8.881784197001252e-15 relative error = 1.911684517660631e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.02000000000002 y[1] (closed_form) = -4.638159836623228 y[1] (numeric) = -4.638159836623248 absolute error = 2.042810365310288e-14 relative error = 4.4043552556773e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.03000000000004 y[1] (closed_form) = -4.630263905920827 y[1] (numeric) = -4.630263905920859 absolute error = 3.197442310920451e-14 relative error = 6.905529308668143e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.04000000000005 y[1] (closed_form) = -4.622363435953634 y[1] (numeric) = -4.622363435953676 absolute error = 4.174438572590589e-14 relative error = 9.030961391138136e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.05000000000006 y[1] (closed_form) = -4.614458428781205 y[1] (numeric) = -4.614458428781254 absolute error = 4.884981308350689e-14 relative error = 1.058625055083861e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.06000000000007 y[1] (closed_form) = -4.606548886461226 y[1] (numeric) = -4.606548886461285 absolute error = 5.861977570020827e-14 relative error = 1.27253128415707e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.07000000000009 y[1] (closed_form) = -4.598634811049525 y[1] (numeric) = -4.598634811049592 absolute error = 6.750155989720952e-14 relative error = 1.467860847202258e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.0800000000001 y[1] (closed_form) = -4.590716204600056 y[1] (numeric) = -4.590716204600136 absolute error = 7.904787935331115e-14 relative error = 1.721907341475442e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.09000000000011 y[1] (closed_form) = -4.582793069164932 y[1] (numeric) = -4.582793069165018 absolute error = 8.615330671091215e-14 relative error = 1.879930108356624e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.10000000000012 y[1] (closed_form) = -4.574865406794384 y[1] (numeric) = -4.574865406794481 absolute error = 9.681144774731365e-14 relative error = 2.116159474408442e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.11000000000013 y[1] (closed_form) = -4.566933219536804 y[1] (numeric) = -4.566933219536911 absolute error = 1.074695887837152e-13 relative error = 2.353211304338169e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.12000000000015 y[1] (closed_form) = -4.558996509438728 y[1] (numeric) = -4.558996509438844 absolute error = 1.154631945610163e-13 relative error = 2.532644943288875e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.13000000000016 y[1] (closed_form) = -4.551055278544837 y[1] (numeric) = -4.551055278544962 absolute error = 1.252331571777177e-13 relative error = 2.751738871819635e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.14000000000017 y[1] (closed_form) = -4.543109528897965 y[1] (numeric) = -4.543109528898102 absolute error = 1.367794766338193e-13 relative error = 3.010701717926626e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.15000000000018 y[1] (closed_form) = -4.535159262539111 y[1] (numeric) = -4.535159262539256 absolute error = 1.456612608308205e-13 relative error = 3.21182239472818e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.1600000000002 y[1] (closed_form) = -4.527204481507415 y[1] (numeric) = -4.527204481507571 absolute error = 1.56319401867222e-13 relative error = 3.452890243985018e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.17000000000021 y[1] (closed_form) = -4.519245187840188 y[1] (numeric) = -4.519245187840353 absolute error = 1.652011860642233e-13 relative error = 3.65550394363921e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.18000000000022 y[1] (closed_form) = -4.511281383572896 y[1] (numeric) = -4.511281383573071 absolute error = 1.749711486809247e-13 relative error = 3.878524388171704e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.19000000000023 y[1] (closed_form) = -4.503313070739175 y[1] (numeric) = -4.503313070739361 absolute error = 1.865174681370263e-13 relative error = 4.141783287263466e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.20000000000024 y[1] (closed_form) = -4.495340251370827 y[1] (numeric) = -4.495340251371023 absolute error = 1.962874307537277e-13 relative error = 4.366464378171841e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.21000000000026 y[1] (closed_form) = -4.487362927497824 y[1] (numeric) = -4.487362927498029 absolute error = 2.051692149507289e-13 relative error = 4.572155590391088e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.22000000000027 y[1] (closed_form) = -4.479381101148306 y[1] (numeric) = -4.47938110114852 absolute error = 2.140509991477302e-13 relative error = 4.778584235506495e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.23000000000028 y[1] (closed_form) = -4.471394774348589 y[1] (numeric) = -4.471394774348813 absolute error = 2.238209617644316e-13 relative error = 5.005618449268745e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.24000000000029 y[1] (closed_form) = -4.463403949123173 y[1] (numeric) = -4.463403949123403 absolute error = 2.309263891220326e-13 relative error = 5.173773016161748e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.25000000000031 y[1] (closed_form) = -4.455408627494723 y[1] (numeric) = -4.455408627494966 absolute error = 2.433608869978343e-13 relative error = 5.462145166574231e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.26000000000032 y[1] (closed_form) = -4.447408811484106 y[1] (numeric) = -4.447408811484355 absolute error = 2.486899575160351e-13 relative error = 5.591794414623353e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.27000000000033 y[1] (closed_form) = -4.43940450311035 y[1] (numeric) = -4.43940450311061 absolute error = 2.602362769721367e-13 relative error = 5.861963621242649e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.28000000000034 y[1] (closed_form) = -4.431395704390688 y[1] (numeric) = -4.431395704390956 absolute error = 2.682298827494378e-13 relative error = 6.05294360157618e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.29000000000035 y[1] (closed_form) = -4.42338241734053 y[1] (numeric) = -4.423382417340812 absolute error = 2.815525590449397e-13 relative error = 6.365096491345587e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.30000000000037 y[1] (closed_form) = -4.415364643973493 y[1] (numeric) = -4.415364643973781 absolute error = 2.877698079828406e-13 relative error = 6.517464154984707e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.31000000000038 y[1] (closed_form) = -4.407342386301369 y[1] (numeric) = -4.407342386301669 absolute error = 2.993161274389422e-13 relative error = 6.791306442840887e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.32000000000039 y[1] (closed_form) = -4.399315646334166 y[1] (numeric) = -4.399315646334474 absolute error = 3.073097332162433e-13 relative error = 6.98539859199047e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.3300000000004 y[1] (closed_form) = -4.39128442608007 y[1] (numeric) = -4.391284426080387 absolute error = 3.170796958329447e-13 relative error = 7.220659494288087e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.34000000000042 y[1] (closed_form) = -4.383248727545485 y[1] (numeric) = -4.38324872754581 absolute error = 3.250733016102458e-13 relative error = 7.416264095792692e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.35000000000043 y[1] (closed_form) = -4.37520855273501 y[1] (numeric) = -4.375208552735347 absolute error = 3.366196210663475e-13 relative error = 7.693796010156392e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.36000000000044 y[1] (closed_form) = -4.367163903651456 y[1] (numeric) = -4.367163903651802 absolute error = 3.463895836830488e-13 relative error = 7.931682696713695e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.37000000000045 y[1] (closed_form) = -4.35911478229584 y[1] (numeric) = -4.359114782296197 absolute error = 3.561595462997502e-13 relative error = 8.17045579405848e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.38000000000046 y[1] (closed_form) = -4.351061190667391 y[1] (numeric) = -4.351061190667756 absolute error = 3.650413304967515e-13 relative error = 8.38970803903494e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.39000000000048 y[1] (closed_form) = -4.343003130763542 y[1] (numeric) = -4.343003130763918 absolute error = 3.765876499528531e-13 relative error = 8.671134664520616e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.40000000000049 y[1] (closed_form) = -4.334940604579959 y[1] (numeric) = -4.334940604580345 absolute error = 3.863576125695545e-13 relative error = 8.912639129619429e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.4100000000005 y[1] (closed_form) = -4.326873614110511 y[1] (numeric) = -4.326873614110908 absolute error = 3.97015753605956e-13 relative error = 9.175580084226051e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.42000000000051 y[1] (closed_form) = -4.3188021613473 y[1] (numeric) = -4.318802161347704 absolute error = 4.04121180963557e-13 relative error = 9.357251521738767e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.43000000000053 y[1] (closed_form) = -4.310726248280634 y[1] (numeric) = -4.310726248281052 absolute error = 4.174438572590589e-13 relative error = 9.68384056922101e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.44000000000054 y[1] (closed_form) = -4.302645876899067 y[1] (numeric) = -4.302645876899494 absolute error = 4.272138198757602e-13 relative error = 9.92909554024592e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.45000000000055 y[1] (closed_form) = -4.294561049189369 y[1] (numeric) = -4.294561049189805 absolute error = 4.360956040727615e-13 relative error = 1.01546025094946e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.46000000000056 y[1] (closed_form) = -4.286471767136536 y[1] (numeric) = -4.286471767136982 absolute error = 4.458655666894629e-13 relative error = 1.04016914355489e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.47000000000057 y[1] (closed_form) = -4.278378032723808 y[1] (numeric) = -4.278378032724262 absolute error = 4.53859172466764e-13 relative error = 1.060820640428113e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.48000000000059 y[1] (closed_form) = -4.270279847932649 y[1] (numeric) = -4.270279847933113 absolute error = 4.636291350834654e-13 relative error = 1.085711362237583e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.4900000000006 y[1] (closed_form) = -4.262177214742767 y[1] (numeric) = -4.26217721474324 absolute error = 4.733990977001667e-13 relative error = 1.11069782847764e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.50000000000061 y[1] (closed_form) = -4.254070135132107 y[1] (numeric) = -4.254070135132592 absolute error = 4.849454171562684e-13 relative error = 1.139956328296898e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.51000000000062 y[1] (closed_form) = -4.245958611076855 y[1] (numeric) = -4.245958611077352 absolute error = 4.973799150320701e-13 relative error = 1.171419602947861e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.52000000000064 y[1] (closed_form) = -4.237842644551446 y[1] (numeric) = -4.237842644551952 absolute error = 5.062616992290714e-13 relative error = 1.194621277125443e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.53000000000065 y[1] (closed_form) = -4.229722237528552 y[1] (numeric) = -4.229722237529071 absolute error = 5.186961971048731e-13 relative error = 1.226312670138713e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.54000000000066 y[1] (closed_form) = -4.221597391979106 y[1] (numeric) = -4.221597391979634 absolute error = 5.275779813018744e-13 relative error = 1.249711737799192e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.55000000000067 y[1] (closed_form) = -4.213468109872284 y[1] (numeric) = -4.213468109872819 absolute error = 5.346834086594754e-13 relative error = 1.268986485044697e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.56000000000068 y[1] (closed_form) = -4.205334393175512 y[1] (numeric) = -4.20533439317606 absolute error = 5.480060849549773e-13 relative error = 1.303121306701058e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.5700000000007 y[1] (closed_form) = -4.197196243854481 y[1] (numeric) = -4.19719624385504 absolute error = 5.586642259913788e-13 relative error = 1.331041470384838e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.58000000000071 y[1] (closed_form) = -4.189053663873143 y[1] (numeric) = -4.189053663873707 absolute error = 5.648814749292796e-13 relative error = 1.348470371246087e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.59000000000072 y[1] (closed_form) = -4.180906655193692 y[1] (numeric) = -4.180906655194268 absolute error = 5.764277943853813e-13 relative error = 1.378714814570948e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.60000000000073 y[1] (closed_form) = -4.172755219776604 y[1] (numeric) = -4.172755219777189 absolute error = 5.844214001626824e-13 relative error = 1.400564781257335e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.61000000000075 y[1] (closed_form) = -4.16459935958061 y[1] (numeric) = -4.164599359581206 absolute error = 5.95967719618784e-13 relative error = 1.431032539175149e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.62000000000076 y[1] (closed_form) = -4.156439076562712 y[1] (numeric) = -4.156439076563317 absolute error = 6.048495038157853e-13 relative error = 1.455210801059023e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.63000000000077 y[1] (closed_form) = -4.148274372678181 y[1] (numeric) = -4.148274372678795 absolute error = 6.146194664324867e-13 relative error = 1.481626843394354e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.64000000000078 y[1] (closed_form) = -4.140105249880556 y[1] (numeric) = -4.140105249881183 absolute error = 6.270539643082884e-13 relative error = 1.514584597399738e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.65000000000079 y[1] (closed_form) = -4.131931710121659 y[1] (numeric) = -4.131931710122295 absolute error = 6.359357485052897e-13 relative error = 1.539076134650264e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.66000000000081 y[1] (closed_form) = -4.123753755351583 y[1] (numeric) = -4.123753755352225 absolute error = 6.421529974431905e-13 relative error = 1.557205001898669e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.67000000000082 y[1] (closed_form) = -4.115571387518692 y[1] (numeric) = -4.115571387519348 absolute error = 6.563638521583925e-13 relative error = 1.594830438730694e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.68000000000083 y[1] (closed_form) = -4.107384608569649 y[1] (numeric) = -4.107384608570315 absolute error = 6.652456363553938e-13 relative error = 1.619633172329236e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.69000000000084 y[1] (closed_form) = -4.099193420449389 y[1] (numeric) = -4.099193420450063 absolute error = 6.741274205523951e-13 relative error = 1.644536745178742e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.70000000000086 y[1] (closed_form) = -4.09099782510113 y[1] (numeric) = -4.090997825101816 absolute error = 6.856737400084967e-13 relative error = 1.676055009859475e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.71000000000087 y[1] (closed_form) = -4.082797824466386 y[1] (numeric) = -4.082797824467082 absolute error = 6.963318810448982e-13 relative error = 1.705526237111453e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.72000000000088 y[1] (closed_form) = -4.074593420484955 y[1] (numeric) = -4.074593420485663 absolute error = 7.078782005009998e-13 relative error = 1.737297755751907e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.73000000000089 y[1] (closed_form) = -4.066384615094933 y[1] (numeric) = -4.066384615095651 absolute error = 7.185363415374013e-13 relative error = 1.767015197898654e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.7400000000009 y[1] (closed_form) = -4.058171410232706 y[1] (numeric) = -4.058171410233435 absolute error = 7.283063041541027e-13 relative error = 1.794666194527105e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.75000000000092 y[1] (closed_form) = -4.049953807832956 y[1] (numeric) = -4.049953807833696 absolute error = 7.398526236102043e-13 relative error = 1.826817437224262e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.76000000000093 y[1] (closed_form) = -4.041731809828672 y[1] (numeric) = -4.041731809829421 absolute error = 7.487344078072056e-13 relative error = 1.852508882421232e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.77000000000094 y[1] (closed_form) = -4.033505418151133 y[1] (numeric) = -4.033505418151893 absolute error = 7.593925488436071e-13 relative error = 1.882711116306608e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.78000000000095 y[1] (closed_form) = -4.025274634729932 y[1] (numeric) = -4.025274634730701 absolute error = 7.691625114603085e-13 relative error = 1.910832381035571e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.79000000000097 y[1] (closed_form) = -4.017039461492963 y[1] (numeric) = -4.017039461493742 absolute error = 7.789324740770098e-13 relative error = 1.939071003767321e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.80000000000098 y[1] (closed_form) = -4.008799900366427 y[1] (numeric) = -4.008799900367217 absolute error = 7.904787935331115e-13 relative error = 1.971858943273415e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.81000000000099 y[1] (closed_form) = -4.000555953274837 y[1] (numeric) = -4.000555953275638 absolute error = 8.01136934569513e-13 relative error = 2.002564003419839e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.820000000001 y[1] (closed_form) = -3.99230762214102 y[1] (numeric) = -3.992307622141832 absolute error = 8.117950756059145e-13 relative error = 2.033398105656397e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.83000000000101 y[1] (closed_form) = -3.984054908886119 y[1] (numeric) = -3.984054908886939 absolute error = 8.202327705930657e-13 relative error = 2.0587888203137e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.84000000000103 y[1] (closed_form) = -3.975797815429587 y[1] (numeric) = -3.975797815430417 absolute error = 8.30002733209767e-13 relative error = 2.087638184186901e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.85000000000104 y[1] (closed_form) = -3.967536343689201 y[1] (numeric) = -3.967536343690042 absolute error = 8.411049634560186e-13 relative error = 2.119967885849081e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.86000000000105 y[1] (closed_form) = -3.959270495581062 y[1] (numeric) = -3.959270495581912 absolute error = 8.495426584431698e-13 relative error = 2.145705021648163e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.87000000000106 y[1] (closed_form) = -3.951000273019588 y[1] (numeric) = -3.95100027302045 absolute error = 8.619771563189715e-13 relative error = 2.181668177056838e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.88000000000108 y[1] (closed_form) = -3.942725677917529 y[1] (numeric) = -3.942725677918402 absolute error = 8.72191208145523e-13 relative error = 2.212152909928538e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.89000000000109 y[1] (closed_form) = -3.934446712185963 y[1] (numeric) = -3.934446712186844 absolute error = 8.815170815523743e-13 relative error = 2.240510918147896e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.9000000000011 y[1] (closed_form) = -3.926163377734291 y[1] (numeric) = -3.926163377735182 absolute error = 8.912870441690757e-13 relative error = 2.270122148313195e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.91000000000111 y[1] (closed_form) = -3.917875676470253 y[1] (numeric) = -3.917875676471154 absolute error = 9.015010959956271e-13 relative error = 2.300994647200802e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.92000000000112 y[1] (closed_form) = -3.909583610299922 y[1] (numeric) = -3.909583610300834 absolute error = 9.117151478221786e-13 relative error = 2.332000639199111e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.93000000000114 y[1] (closed_form) = -3.901287181127707 y[1] (numeric) = -3.90128718112863 absolute error = 9.237055564881302e-13 relative error = 2.367694336773034e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.94000000000115 y[1] (closed_form) = -3.892986390856361 y[1] (numeric) = -3.892986390857291 absolute error = 9.294787162161811e-13 relative error = 2.387572477518265e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.95000000000116 y[1] (closed_form) = -3.884681241386964 y[1] (numeric) = -3.884681241387906 absolute error = 9.414691248821327e-13 relative error = 2.423542798960761e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.96000000000117 y[1] (closed_form) = -3.876371734618957 y[1] (numeric) = -3.876371734619907 absolute error = 9.507949982889841e-13 relative error = 2.452796231583414e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.97000000000119 y[1] (closed_form) = -3.868057872450116 y[1] (numeric) = -3.868057872451075 absolute error = 9.587886040662852e-13 relative error = 2.478733865113984e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.9800000000012 y[1] (closed_form) = -3.859739656776565 y[1] (numeric) = -3.859739656777534 absolute error = 9.685585666829866e-13 relative error = 2.509388333957922e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 20.99000000000121 y[1] (closed_form) = -3.851417089492777 y[1] (numeric) = -3.851417089493759 absolute error = 9.814371537686384e-13 relative error = 2.548249464972622e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.00000000000122 y[1] (closed_form) = -3.843090172491589 y[1] (numeric) = -3.843090172492579 absolute error = 9.903189379656396e-13 relative error = 2.576881867238589e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.01000000000123 y[1] (closed_form) = -3.834758907664174 y[1] (numeric) = -3.834758907665175 absolute error = 1.001421168211891e-12 relative error = 2.611431884832302e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.02000000000125 y[1] (closed_form) = -3.826423296900074 y[1] (numeric) = -3.826423296901086 absolute error = 1.011191130828593e-12 relative error = 2.642653601988561e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.03000000000126 y[1] (closed_form) = -3.818083342087185 y[1] (numeric) = -3.818083342088205 absolute error = 1.020517004235444e-12 relative error = 2.6728515666124e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.04000000000127 y[1] (closed_form) = -3.809739045111762 y[1] (numeric) = -3.809739045112793 absolute error = 1.031175145271845e-12 relative error = 2.706681830596602e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.05000000000128 y[1] (closed_form) = -3.801390407858424 y[1] (numeric) = -3.801390407859466 absolute error = 1.042277375518097e-12 relative error = 2.74183197117415e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.0600000000013 y[1] (closed_form) = -3.793037432210159 y[1] (numeric) = -3.793037432211208 absolute error = 1.048938713665848e-12 relative error = 2.765432011712691e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.07000000000131 y[1] (closed_form) = -3.784680120048311 y[1] (numeric) = -3.784680120049372 absolute error = 1.0609291223318e-12 relative error = 2.803220057388251e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.08000000000132 y[1] (closed_form) = -3.776318473252605 y[1] (numeric) = -3.776318473253676 absolute error = 1.071143174158351e-12 relative error = 2.836474682273706e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.09000000000133 y[1] (closed_form) = -3.767952493701131 y[1] (numeric) = -3.767952493702212 absolute error = 1.081357225984902e-12 relative error = 2.869880200964854e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.10000000000134 y[1] (closed_form) = -3.75958218327035 y[1] (numeric) = -3.759582183271444 absolute error = 1.094235813070554e-12 relative error = 2.910525052330977e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.11000000000136 y[1] (closed_form) = -3.751207543835111 y[1] (numeric) = -3.751207543836212 absolute error = 1.101341240428155e-12 relative error = 2.935964559567345e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.12000000000137 y[1] (closed_form) = -3.742828577268622 y[1] (numeric) = -3.742828577269734 absolute error = 1.111999381464557e-12 relative error = 2.971013388692391e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.13000000000138 y[1] (closed_form) = -3.734445285442483 y[1] (numeric) = -3.734445285443605 absolute error = 1.121769344081258e-12 relative error = 3.003844636455407e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.14000000000139 y[1] (closed_form) = -3.72605767022667 y[1] (numeric) = -3.726057670227803 absolute error = 1.13331566353736e-12 relative error = 3.041594531918278e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.15000000000141 y[1] (closed_form) = -3.71766573348955 y[1] (numeric) = -3.717665733490692 absolute error = 1.141309269314661e-12 relative error = 3.069962043745612e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.16000000000142 y[1] (closed_form) = -3.709269477097866 y[1] (numeric) = -3.709269477099018 absolute error = 1.151967410351062e-12 relative error = 3.105644972584635e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.17000000000143 y[1] (closed_form) = -3.700868902916756 y[1] (numeric) = -3.700868902917919 absolute error = 1.162625551387464e-12 relative error = 3.141493475954166e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.18000000000144 y[1] (closed_form) = -3.692464012809747 y[1] (numeric) = -3.692464012810919 absolute error = 1.171507335584465e-12 relative error = 3.172698045316946e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.19000000000145 y[1] (closed_form) = -3.684054808638756 y[1] (numeric) = -3.684054808639937 absolute error = 1.181277298201167e-12 relative error = 3.206459620066413e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.20000000000147 y[1] (closed_form) = -3.675641292264093 y[1] (numeric) = -3.675641292265286 absolute error = 1.193267706867118e-12 relative error = 3.246420452884015e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.21000000000148 y[1] (closed_form) = -3.66722346554447 y[1] (numeric) = -3.667223465545674 absolute error = 1.20392584790352e-12 relative error = 3.282935602956974e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.22000000000149 y[1] (closed_form) = -3.658801330336996 y[1] (numeric) = -3.658801330338208 absolute error = 1.212363542890671e-12 relative error = 3.313553903127628e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.2300000000015 y[1] (closed_form) = -3.650374888497169 y[1] (numeric) = -3.650374888498396 absolute error = 1.227018486815723e-12 relative error = 3.361349243011249e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.24000000000152 y[1] (closed_form) = -3.641944141878909 y[1] (numeric) = -3.641944141880145 absolute error = 1.236344360222574e-12 relative error = 3.394737294308787e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.25000000000153 y[1] (closed_form) = -3.633509092334528 y[1] (numeric) = -3.633509092335773 absolute error = 1.245226144419576e-12 relative error = 3.427062139590019e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.26000000000154 y[1] (closed_form) = -3.625069741714743 y[1] (numeric) = -3.625069741715999 absolute error = 1.255884285455977e-12 relative error = 3.464441720952696e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.27000000000155 y[1] (closed_form) = -3.616626091868689 y[1] (numeric) = -3.616626091869953 absolute error = 1.264321980443128e-12 relative error = 3.495860363573998e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.28000000000156 y[1] (closed_form) = -3.608178144643901 y[1] (numeric) = -3.608178144645176 absolute error = 1.27542421068938e-12 relative error = 3.534814966336021e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.29000000000158 y[1] (closed_form) = -3.599725901886337 y[1] (numeric) = -3.599725901887621 absolute error = 1.283861905676531e-12 relative error = 3.566554622961038e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.30000000000159 y[1] (closed_form) = -3.591269365440361 y[1] (numeric) = -3.591269365441656 absolute error = 1.294964135922783e-12 relative error = 3.605867463979534e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.3100000000016 y[1] (closed_form) = -3.582808537148761 y[1] (numeric) = -3.582808537150066 absolute error = 1.304734098539484e-12 relative error = 3.641651751722703e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.32000000000161 y[1] (closed_form) = -3.574343418852735 y[1] (numeric) = -3.574343418854054 absolute error = 1.319833131674386e-12 relative error = 3.692519092354075e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.33000000000163 y[1] (closed_form) = -3.565874012391916 y[1] (numeric) = -3.565874012393245 absolute error = 1.328714915871387e-12 relative error = 3.726197031229694e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.34000000000164 y[1] (closed_form) = -3.557400319604348 y[1] (numeric) = -3.557400319605686 absolute error = 1.338484878488089e-12 relative error = 3.76253656669417e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.35000000000165 y[1] (closed_form) = -3.548922342326502 y[1] (numeric) = -3.548922342327851 absolute error = 1.34869893031464e-12 relative error = 3.800305558195162e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.36000000000166 y[1] (closed_form) = -3.540440082393282 y[1] (numeric) = -3.540440082394639 absolute error = 1.357580714511641e-12 relative error = 3.834497076402825e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.37000000000167 y[1] (closed_form) = -3.531953541638007 y[1] (numeric) = -3.531953541639378 absolute error = 1.371347480016993e-12 relative error = 3.882688330552067e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.38000000000169 y[1] (closed_form) = -3.52346272189245 y[1] (numeric) = -3.523462721893829 absolute error = 1.378896996584444e-12 relative error = 3.913471222547345e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.3900000000017 y[1] (closed_form) = -3.514967624986792 y[1] (numeric) = -3.514967624988183 absolute error = 1.391331494460246e-12 relative error = 3.958305290124755e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.40000000000171 y[1] (closed_form) = -3.506468252749666 y[1] (numeric) = -3.506468252751069 absolute error = 1.402877813916348e-12 relative error = 4.00082850548056e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.41000000000172 y[1] (closed_form) = -3.497964607008139 y[1] (numeric) = -3.497964607009552 absolute error = 1.412647776533049e-12 relative error = 4.03848504842737e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.42000000000174 y[1] (closed_form) = -3.489456689587712 y[1] (numeric) = -3.489456689589135 absolute error = 1.422861828359601e-12 relative error = 4.077602775828449e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.43000000000175 y[1] (closed_form) = -3.48094450231233 y[1] (numeric) = -3.480944502313762 absolute error = 1.432631790976302e-12 relative error = 4.115640999230611e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.44000000000176 y[1] (closed_form) = -3.472428047004382 y[1] (numeric) = -3.472428047005824 absolute error = 1.442401753593003e-12 relative error = 4.153870819115589e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.45000000000177 y[1] (closed_form) = -3.463907325484698 y[1] (numeric) = -3.463907325486151 absolute error = 1.453503983839255e-12 relative error = 4.196139928876039e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.46000000000178 y[1] (closed_form) = -3.455382339572562 y[1] (numeric) = -3.455382339574026 absolute error = 1.463718035665806e-12 relative error = 4.236052314392714e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.4700000000018 y[1] (closed_form) = -3.4468530910857 y[1] (numeric) = -3.446853091087176 absolute error = 1.476152533541608e-12 relative error = 4.282609367249375e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.48000000000181 y[1] (closed_form) = -3.438319581840297 y[1] (numeric) = -3.438319581841783 absolute error = 1.48592249615831e-12 relative error = 4.321653240165061e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.49000000000182 y[1] (closed_form) = -3.429781813650983 y[1] (numeric) = -3.429781813652478 absolute error = 1.494360191145461e-12 relative error = 4.357012405855412e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.50000000000183 y[1] (closed_form) = -3.421239788330844 y[1] (numeric) = -3.42123978833235 absolute error = 1.506350599811412e-12 relative error = 4.402937803276079e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.51000000000185 y[1] (closed_form) = -3.412693507691429 y[1] (numeric) = -3.412693507692945 absolute error = 1.516120562428114e-12 relative error = 4.442592219345585e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.52000000000186 y[1] (closed_form) = -3.40414297354274 y[1] (numeric) = -3.404142973544268 absolute error = 1.527666881884215e-12 relative error = 4.487669565459969e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.53000000000187 y[1] (closed_form) = -3.395588187693246 y[1] (numeric) = -3.395588187694782 absolute error = 1.535660487661517e-12 relative error = 4.522516874181819e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.54000000000188 y[1] (closed_form) = -3.387029151949868 y[1] (numeric) = -3.387029151951415 absolute error = 1.546762717907768e-12 relative error = 4.566723959306099e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.55000000000189 y[1] (closed_form) = -3.378465868118003 y[1] (numeric) = -3.378465868119561 absolute error = 1.55786494815402e-12 relative error = 4.611160831474787e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.56000000000191 y[1] (closed_form) = -3.369898338001509 y[1] (numeric) = -3.369898338003077 absolute error = 1.568523089190421e-12 relative error = 4.654511596099428e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.57000000000192 y[1] (closed_form) = -3.361326563402713 y[1] (numeric) = -3.361326563404293 absolute error = 1.580513497856373e-12 relative error = 4.702052799821982e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.58000000000193 y[1] (closed_form) = -3.352750546122415 y[1] (numeric) = -3.352750546124007 absolute error = 1.592059817312474e-12 relative error = 4.748518553382246e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.59000000000194 y[1] (closed_form) = -3.344170287959887 y[1] (numeric) = -3.344170287961491 absolute error = 1.604050225978426e-12 relative error = 4.79655665787575e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.60000000000196 y[1] (closed_form) = -3.335585790712877 y[1] (numeric) = -3.33558579071449 absolute error = 1.613376099385277e-12 relative error = 4.836859851955626e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.61000000000197 y[1] (closed_form) = -3.326997056177603 y[1] (numeric) = -3.326997056179227 absolute error = 1.623590151211829e-12 relative error = 4.880046852452513e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.62000000000198 y[1] (closed_form) = -3.318404086148767 y[1] (numeric) = -3.318404086150402 absolute error = 1.635136470667931e-12 relative error = 4.927478475249881e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.63000000000199 y[1] (closed_form) = -3.309806882419554 y[1] (numeric) = -3.309806882421197 absolute error = 1.642241898025532e-12 relative error = 4.961745371757189e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.640000000002 y[1] (closed_form) = -3.301205446781619 y[1] (numeric) = -3.301205446783273 absolute error = 1.654232306691483e-12 relative error = 5.010994721047162e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.65000000000202 y[1] (closed_form) = -3.292599781025114 y[1] (numeric) = -3.292599781026781 absolute error = 1.667110893777135e-12 relative error = 5.063205383735095e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.66000000000203 y[1] (closed_form) = -3.283989886938677 y[1] (numeric) = -3.283989886940354 absolute error = 1.676436767183986e-12 relative error = 5.104877983490852e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.67000000000204 y[1] (closed_form) = -3.275375766309423 y[1] (numeric) = -3.275375766311112 absolute error = 1.688427175849938e-12 relative error = 5.15491136381093e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.68000000000205 y[1] (closed_form) = -3.266757420922968 y[1] (numeric) = -3.266757420924668 absolute error = 1.69997349530604e-12 relative error = 5.203855922750886e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.69000000000207 y[1] (closed_form) = -3.258134852563416 y[1] (numeric) = -3.258134852565126 absolute error = 1.710187547132591e-12 relative error = 5.248977174124823e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.70000000000208 y[1] (closed_form) = -3.249508063013362 y[1] (numeric) = -3.249508063015083 absolute error = 1.720401598959143e-12 relative error = 5.294344761107516e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.71000000000209 y[1] (closed_form) = -3.2408770540539 y[1] (numeric) = -3.240877054055631 absolute error = 1.730615650785694e-12 relative error = 5.33996082517517e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.7200000000021 y[1] (closed_form) = -3.23224182746462 y[1] (numeric) = -3.232241827466362 absolute error = 1.742606059451646e-12 relative error = 5.391323274900354e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.73000000000211 y[1] (closed_form) = -3.223602385023614 y[1] (numeric) = -3.223602385025367 absolute error = 1.752376022068347e-12 relative error = 5.436079927877054e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.74000000000213 y[1] (closed_form) = -3.214958728507472 y[1] (numeric) = -3.214958728509236 absolute error = 1.763478252314599e-12 relative error = 5.48522827580211e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.75000000000214 y[1] (closed_form) = -3.206310859691289 y[1] (numeric) = -3.206310859693065 absolute error = 1.77546866098055e-12 relative error = 5.537418979866153e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.76000000000215 y[1] (closed_form) = -3.197658780348668 y[1] (numeric) = -3.197658780350453 absolute error = 1.785238623597252e-12 relative error = 5.582955362743838e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.77000000000216 y[1] (closed_form) = -3.189002492251714 y[1] (numeric) = -3.189002492253509 absolute error = 1.795008586213953e-12 relative error = 5.628746263370025e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.78000000000218 y[1] (closed_form) = -3.180341997171041 y[1] (numeric) = -3.180341997172847 absolute error = 1.806110816460205e-12 relative error = 5.678983008955533e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.79000000000219 y[1] (closed_form) = -3.171677296875778 y[1] (numeric) = -3.171677296877597 absolute error = 1.818545314336006e-12 relative error = 5.733702215314724e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.8000000000022 y[1] (closed_form) = -3.16300839313357 y[1] (numeric) = -3.163008393135395 absolute error = 1.825206652483757e-12 relative error = 5.770476791797376e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.81000000000221 y[1] (closed_form) = -3.154335287710559 y[1] (numeric) = -3.154335287712398 absolute error = 1.838973417989109e-12 relative error = 5.829987145481451e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.82000000000222 y[1] (closed_form) = -3.145657982371425 y[1] (numeric) = -3.145657982373276 absolute error = 1.850519737445211e-12 relative error = 5.882774757509254e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.83000000000224 y[1] (closed_form) = -3.136976478879358 y[1] (numeric) = -3.136976478881217 absolute error = 1.858957432432362e-12 relative error = 5.925952728521729e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.84000000000225 y[1] (closed_form) = -3.12829077899606 y[1] (numeric) = -3.128290778997932 absolute error = 1.871391930308164e-12 relative error = 5.982154673322076e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.85000000000226 y[1] (closed_form) = -3.11960088448177 y[1] (numeric) = -3.11960088448365 absolute error = 1.880717803715015e-12 relative error = 6.02871288141541e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.86000000000227 y[1] (closed_form) = -3.11090679709524 y[1] (numeric) = -3.110906797097129 absolute error = 1.889599587912016e-12 relative error = 6.074111862420309e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.87000000000229 y[1] (closed_form) = -3.102208518593748 y[1] (numeric) = -3.102208518595649 absolute error = 1.900701818158268e-12 relative error = 6.126931206480822e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.8800000000023 y[1] (closed_form) = -3.093506050733104 y[1] (numeric) = -3.093506050735018 absolute error = 1.91402449445377e-12 relative error = 6.187233718195511e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.89000000000231 y[1] (closed_form) = -3.084799395267652 y[1] (numeric) = -3.084799395269575 absolute error = 1.922906278650771e-12 relative error = 6.233488899150703e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.90000000000232 y[1] (closed_form) = -3.076088553950253 y[1] (numeric) = -3.076088553952188 absolute error = 1.935340776526573e-12 relative error = 6.291563921465284e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.91000000000233 y[1] (closed_form) = -3.067373528532318 y[1] (numeric) = -3.067373528534262 absolute error = 1.943334382303874e-12 relative error = 6.335499619551465e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.92000000000235 y[1] (closed_form) = -3.058654320763775 y[1] (numeric) = -3.058654320765732 absolute error = 1.956212969389526e-12 relative error = 6.395665427471518e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.93000000000236 y[1] (closed_form) = -3.049930932393107 y[1] (numeric) = -3.049930932395073 absolute error = 1.966871110425927e-12 relative error = 6.448903775282006e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.94000000000237 y[1] (closed_form) = -3.04120336516732 y[1] (numeric) = -3.041203365169299 absolute error = 1.979305608301729e-12 relative error = 6.508297442294959e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.95000000000238 y[1] (closed_form) = -3.032471620831977 y[1] (numeric) = -3.032471620833964 absolute error = 1.98685512486918e-12 relative error = 6.551933120231722e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.9600000000024 y[1] (closed_form) = -3.023735701131166 y[1] (numeric) = -3.023735701133162 absolute error = 1.996180998276031e-12 relative error = 6.601704631556485e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.97000000000241 y[1] (closed_form) = -3.014995607807524 y[1] (numeric) = -3.014995607809535 absolute error = 2.010391852991233e-12 relative error = 6.667976058688759e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.98000000000242 y[1] (closed_form) = -3.006251342602248 y[1] (numeric) = -3.006251342604267 absolute error = 2.019717726398085e-12 relative error = 6.718392763027568e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 21.99000000000243 y[1] (closed_form) = -2.997502907255065 y[1] (numeric) = -2.997502907257095 absolute error = 2.030375867434486e-12 relative error = 6.773557625316147e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.00000000000244 y[1] (closed_form) = -2.988750303504258 y[1] (numeric) = -2.988750303506301 absolute error = 2.042810365310288e-12 relative error = 6.834998437022753e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.01000000000246 y[1] (closed_form) = -2.979993533086667 y[1] (numeric) = -2.979993533088719 absolute error = 2.052136238717139e-12 relative error = 6.88637816133629e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.02000000000247 y[1] (closed_form) = -2.971232597737679 y[1] (numeric) = -2.971232597739739 absolute error = 2.060573933704291e-12 relative error = 6.935081202573063e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.03000000000248 y[1] (closed_form) = -2.962467499191227 y[1] (numeric) = -2.962467499193303 absolute error = 2.075672966839193e-12 relative error = 7.006567894519906e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.04000000000249 y[1] (closed_form) = -2.953698239179825 y[1] (numeric) = -2.953698239181911 absolute error = 2.085442929455894e-12 relative error = 7.060446804596308e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.05000000000251 y[1] (closed_form) = -2.944924819434522 y[1] (numeric) = -2.944924819436622 absolute error = 2.099653784171096e-12 relative error = 7.12973645478076e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.06000000000252 y[1] (closed_form) = -2.936147241684946 y[1] (numeric) = -2.936147241687055 absolute error = 2.109423746787797e-12 relative error = 7.184325488994474e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.07000000000253 y[1] (closed_form) = -2.927365507659275 y[1] (numeric) = -2.927365507661392 absolute error = 2.116973263355248e-12 relative error = 7.231667032409572e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.08000000000254 y[1] (closed_form) = -2.918579619084248 y[1] (numeric) = -2.918579619086377 absolute error = 2.12851958281135e-12 relative error = 7.292998172443923e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.09000000000255 y[1] (closed_form) = -2.909789577685185 y[1] (numeric) = -2.909789577687322 absolute error = 2.137401367008351e-12 relative error = 7.345553037236153e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.10000000000257 y[1] (closed_form) = -2.900995385185958 y[1] (numeric) = -2.900995385188108 absolute error = 2.150279954094003e-12 relative error = 7.412214321589371e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.11000000000258 y[1] (closed_form) = -2.892197043309018 y[1] (numeric) = -2.892197043311181 absolute error = 2.162714451969805e-12 relative error = 7.477756250989738e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.12000000000259 y[1] (closed_form) = -2.883394553775389 y[1] (numeric) = -2.88339455377756 absolute error = 2.171152146956956e-12 relative error = 7.529847568429876e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.1300000000026 y[1] (closed_form) = -2.874587918304655 y[1] (numeric) = -2.87458791830684 absolute error = 2.184474823252458e-12 relative error = 7.599262521567943e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.14000000000262 y[1] (closed_form) = -2.865777138614991 y[1] (numeric) = -2.865777138617185 absolute error = 2.194244785869159e-12 relative error = 7.656718159631986e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.15000000000263 y[1] (closed_form) = -2.856962216423138 y[1] (numeric) = -2.856962216425341 absolute error = 2.203126570066161e-12 relative error = 7.711430544658839e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.16000000000264 y[1] (closed_form) = -2.848143153444415 y[1] (numeric) = -2.848143153446629 absolute error = 2.214672889522262e-12 relative error = 7.775848228850217e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.17000000000265 y[1] (closed_form) = -2.839319951392724 y[1] (numeric) = -2.839319951394952 absolute error = 2.227995565817764e-12 relative error = 7.846933786820688e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.18000000000266 y[1] (closed_form) = -2.830492611980556 y[1] (numeric) = -2.830492611982792 absolute error = 2.235989171595065e-12 relative error = 7.899646733331325e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.19000000000268 y[1] (closed_form) = -2.821661136918969 y[1] (numeric) = -2.821661136921219 absolute error = 2.249311847890567e-12 relative error = 7.971587439966791e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.20000000000269 y[1] (closed_form) = -2.812825527917624 y[1] (numeric) = -2.812825527919882 absolute error = 2.257749542877718e-12 relative error = 8.026624902502087e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.2100000000027 y[1] (closed_form) = -2.803985786684752 y[1] (numeric) = -2.803985786687022 absolute error = 2.27018404075352e-12 relative error = 8.096275136393027e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.22000000000271 y[1] (closed_form) = -2.795141914927189 y[1] (numeric) = -2.795141914929469 absolute error = 2.279509914160371e-12 relative error = 8.155256454017113e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.23000000000273 y[1] (closed_form) = -2.786293914350349 y[1] (numeric) = -2.786293914352641 absolute error = 2.291944412036173e-12 relative error = 8.225781207904486e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.24000000000274 y[1] (closed_form) = -2.777441786658244 y[1] (numeric) = -2.777441786660549 absolute error = 2.304822999121825e-12 relative error = 8.298366540725725e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.25000000000275 y[1] (closed_form) = -2.768585533553484 y[1] (numeric) = -2.768585533555798 absolute error = 2.313704783318826e-12 relative error = 8.356992244878136e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.26000000000276 y[1] (closed_form) = -2.759725156737264 y[1] (numeric) = -2.75972515673959 absolute error = 2.325695191984778e-12 relative error = 8.427271050188105e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.27000000000277 y[1] (closed_form) = -2.750860657909389 y[1] (numeric) = -2.750860657911724 absolute error = 2.335465154601479e-12 relative error = 8.48994349418046e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.28000000000279 y[1] (closed_form) = -2.741992038768252 y[1] (numeric) = -2.741992038770598 absolute error = 2.345679206428031e-12 relative error = 8.554653599511354e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.2900000000028 y[1] (closed_form) = -2.733119301010852 y[1] (numeric) = -2.73311930101321 absolute error = 2.358113704303832e-12 relative error = 8.627920864748485e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.30000000000281 y[1] (closed_form) = -2.724242446332795 y[1] (numeric) = -2.724242446335163 absolute error = 2.367883666920534e-12 relative error = 8.691897705756809e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.31000000000282 y[1] (closed_form) = -2.715361476428281 y[1] (numeric) = -2.715361476430662 absolute error = 2.380762254006186e-12 relative error = 8.767754402768433e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.32000000000284 y[1] (closed_form) = -2.70647639299013 y[1] (numeric) = -2.706476392992519 absolute error = 2.389644038203187e-12 relative error = 8.829354818658128e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.33000000000285 y[1] (closed_form) = -2.697587197709755 y[1] (numeric) = -2.697587197712155 absolute error = 2.400746268449439e-12 relative error = 8.899605805097483e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.34000000000286 y[1] (closed_form) = -2.68869389227719 y[1] (numeric) = -2.688693892279601 absolute error = 2.41096032027599e-12 relative error = 8.967031640162007e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.35000000000287 y[1] (closed_form) = -2.679796478381075 y[1] (numeric) = -2.679796478383496 absolute error = 2.421174372102541e-12 relative error = 9.034918851618266e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.36000000000288 y[1] (closed_form) = -2.670894957708661 y[1] (numeric) = -2.670894957711095 absolute error = 2.433608869978343e-12 relative error = 9.11158584861052e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.3700000000029 y[1] (closed_form) = -2.661989331945822 y[1] (numeric) = -2.661989331948266 absolute error = 2.443822921804895e-12 relative error = 9.18043845058742e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.38000000000291 y[1] (closed_form) = -2.653079602777041 y[1] (numeric) = -2.653079602779496 absolute error = 2.454925152051146e-12 relative error = 9.253115321083915e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.39000000000292 y[1] (closed_form) = -2.644165771885422 y[1] (numeric) = -2.644165771887887 absolute error = 2.464695114667848e-12 relative error = 9.321257921398766e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.40000000000293 y[1] (closed_form) = -2.635247840952687 y[1] (numeric) = -2.635247840955163 absolute error = 2.476241434123949e-12 relative error = 9.396616878466907e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.41000000000295 y[1] (closed_form) = -2.626325811659182 y[1] (numeric) = -2.626325811661668 absolute error = 2.486011396740651e-12 relative error = 9.465738735477423e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.42000000000296 y[1] (closed_form) = -2.617399685683871 y[1] (numeric) = -2.617399685686371 absolute error = 2.499334073036152e-12 relative error = 9.548920200099776e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.43000000000297 y[1] (closed_form) = -2.608469464704353 y[1] (numeric) = -2.608469464706864 absolute error = 2.511324481702104e-12 relative error = 9.627578607621313e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.44000000000298 y[1] (closed_form) = -2.599535150396846 y[1] (numeric) = -2.599535150399367 absolute error = 2.520650355108955e-12 relative error = 9.696542686580528e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.45000000000299 y[1] (closed_form) = -2.590596744436198 y[1] (numeric) = -2.590596744438729 absolute error = 2.531308496145357e-12 relative error = 9.771140574394013e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.46000000000301 y[1] (closed_form) = -2.581654248495884 y[1] (numeric) = -2.581654248498427 absolute error = 2.542854815601459e-12 relative error = 9.849710963747254e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.47000000000302 y[1] (closed_form) = -2.572707664248014 y[1] (numeric) = -2.57270766425057 absolute error = 2.55528931347726e-12 relative error = 9.932295647061614e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.48000000000303 y[1] (closed_form) = -2.563756993363334 y[1] (numeric) = -2.563756993365901 absolute error = 2.566835632933362e-12 relative error = 1.001200831271449e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.49000000000304 y[1] (closed_form) = -2.554802237511222 y[1] (numeric) = -2.554802237513799 absolute error = 2.577049684759913e-12 relative error = 1.008708089777769e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.50000000000306 y[1] (closed_form) = -2.545843398359686 y[1] (numeric) = -2.545843398362276 absolute error = 2.589928271845565e-12 relative error = 1.017316412122711e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.51000000000307 y[1] (closed_form) = -2.536880477575387 y[1] (numeric) = -2.536880477577987 absolute error = 2.599698234462267e-12 relative error = 1.024761811777162e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.52000000000308 y[1] (closed_form) = -2.527913476823617 y[1] (numeric) = -2.527913476826225 absolute error = 2.608135929449418e-12 relative error = 1.031734651269237e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.53000000000309 y[1] (closed_form) = -2.518942397768303 y[1] (numeric) = -2.518942397770924 absolute error = 2.62145860574492e-12 relative error = 1.04069811523576e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.5400000000031 y[1] (closed_form) = -2.50996724207203 y[1] (numeric) = -2.509967242074662 absolute error = 2.632116746781321e-12 relative error = 1.048665776453901e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.55000000000312 y[1] (closed_form) = -2.500988011396018 y[1] (numeric) = -2.500988011398662 absolute error = 2.644107155447273e-12 relative error = 1.057225042023039e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.56000000000313 y[1] (closed_form) = -2.492004707400142 y[1] (numeric) = -2.492004707402794 absolute error = 2.652100761224574e-12 relative error = 1.064243880980248e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.57000000000314 y[1] (closed_form) = -2.483017331742911 y[1] (numeric) = -2.483017331745575 absolute error = 2.664091169890526e-12 relative error = 1.072924919142837e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.58000000000315 y[1] (closed_form) = -2.474025886081499 y[1] (numeric) = -2.474025886084174 absolute error = 2.675193400136777e-12 relative error = 1.081311806471798e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.59000000000317 y[1] (closed_form) = -2.465030372071723 y[1] (numeric) = -2.465030372074411 absolute error = 2.687627898012579e-12 relative error = 1.090302143317518e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.60000000000318 y[1] (closed_form) = -2.456030791368061 y[1] (numeric) = -2.456030791370757 absolute error = 2.69606559299973e-12 relative error = 1.097732814456273e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.61000000000319 y[1] (closed_form) = -2.447027145623633 y[1] (numeric) = -2.447027145626341 absolute error = 2.708056001665682e-12 relative error = 1.106671826877313e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.6200000000032 y[1] (closed_form) = -2.438019436490229 y[1] (numeric) = -2.438019436492946 absolute error = 2.716937785862683e-12 relative error = 1.114403661102056e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.63000000000321 y[1] (closed_form) = -2.429007665618286 y[1] (numeric) = -2.429007665621016 absolute error = 2.730260462158185e-12 relative error = 1.12402299128324e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.64000000000323 y[1] (closed_form) = -2.419991834656912 y[1] (numeric) = -2.419991834659653 absolute error = 2.741362692404437e-12 relative error = 1.132798323178262e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.65000000000324 y[1] (closed_form) = -2.41097194525387 y[1] (numeric) = -2.410971945256621 absolute error = 2.750688565811288e-12 relative error = 1.140904427040791e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.66000000000325 y[1] (closed_form) = -2.401947999055583 y[1] (numeric) = -2.401947999058344 absolute error = 2.760902617637839e-12 relative error = 1.149443126463767e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.67000000000326 y[1] (closed_form) = -2.392919997707143 y[1] (numeric) = -2.392919997709916 absolute error = 2.772893026303791e-12 relative error = 1.158790527456301e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.68000000000328 y[1] (closed_form) = -2.383887942852311 y[1] (numeric) = -2.383887942855094 absolute error = 2.782662988920492e-12 relative error = 1.167279274709133e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.69000000000329 y[1] (closed_form) = -2.374851836133509 y[1] (numeric) = -2.374851836136304 absolute error = 2.795541576006144e-12 relative error = 1.177143573115517e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.7000000000033 y[1] (closed_form) = -2.365811679191832 y[1] (numeric) = -2.365811679194641 absolute error = 2.808420163091796e-12 relative error = 1.187085256105913e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.71000000000331 y[1] (closed_form) = -2.356767473667052 y[1] (numeric) = -2.356767473669871 absolute error = 2.819078304128197e-12 relative error = 1.196163107148541e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.72000000000332 y[1] (closed_form) = -2.347719221197604 y[1] (numeric) = -2.347719221200435 absolute error = 2.830624623584299e-12 relative error = 1.205691293075651e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.73000000000334 y[1] (closed_form) = -2.338666923420604 y[1] (numeric) = -2.338666923423443 absolute error = 2.8395064077813e-12 relative error = 1.214155970371426e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.74000000000335 y[1] (closed_form) = -2.329610581971838 y[1] (numeric) = -2.329610581974689 absolute error = 2.850608638027552e-12 relative error = 1.223641693632216e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.75000000000336 y[1] (closed_form) = -2.320550198485773 y[1] (numeric) = -2.320550198488637 absolute error = 2.864819492742754e-12 relative error = 1.234543210748957e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.76000000000337 y[1] (closed_form) = -2.311485774595564 y[1] (numeric) = -2.311485774598436 absolute error = 2.872369009310205e-12 relative error = 1.242650524125669e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.77000000000339 y[1] (closed_form) = -2.302417311933027 y[1] (numeric) = -2.302417311935911 absolute error = 2.883915328766307e-12 relative error = 1.252559783067768e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.7800000000034 y[1] (closed_form) = -2.293344812128677 y[1] (numeric) = -2.293344812131572 absolute error = 2.895905737432258e-12 relative error = 1.262743274415977e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.79000000000341 y[1] (closed_form) = -2.284268276811709 y[1] (numeric) = -2.284268276814615 absolute error = 2.90656387846866e-12 relative error = 1.272426670708542e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.80000000000342 y[1] (closed_form) = -2.275187707609998 y[1] (numeric) = -2.275187707612917 absolute error = 2.918554287134612e-12 relative error = 1.282775165043612e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.81000000000343 y[1] (closed_form) = -2.266103106150116 y[1] (numeric) = -2.266103106153044 absolute error = 2.928324249751313e-12 relative error = 1.292229043684709e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.82000000000345 y[1] (closed_form) = -2.257014474057314 y[1] (numeric) = -2.257014474060253 absolute error = 2.938538301577864e-12 relative error = 1.301958111192531e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.83000000000346 y[1] (closed_form) = -2.247921812955539 y[1] (numeric) = -2.247921812958489 absolute error = 2.949640531824116e-12 relative error = 1.312163312275513e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.84000000000347 y[1] (closed_form) = -2.238825124467429 y[1] (numeric) = -2.238825124470391 absolute error = 2.962075029699918e-12 relative error = 1.323048860461817e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.85000000000348 y[1] (closed_form) = -2.229724410214317 y[1] (numeric) = -2.229724410217288 absolute error = 2.971400903106769e-12 relative error = 1.332631463105866e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.8600000000035 y[1] (closed_form) = -2.220619671816223 y[1] (numeric) = -2.220619671819208 absolute error = 2.985167668612121e-12 relative error = 1.344294886017371e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.87000000000351 y[1] (closed_form) = -2.211510910891874 y[1] (numeric) = -2.211510910894873 absolute error = 2.998490344907623e-12 relative error = 1.355856003305165e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.88000000000352 y[1] (closed_form) = -2.202398129058697 y[1] (numeric) = -2.202398129061704 absolute error = 3.007372129104624e-12 relative error = 1.365498857552141e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.89000000000353 y[1] (closed_form) = -2.193281327932802 y[1] (numeric) = -2.193281327935822 absolute error = 3.020250716190276e-12 relative error = 1.377046655039417e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.90000000000354 y[1] (closed_form) = -2.184160509129018 y[1] (numeric) = -2.18416050913205 absolute error = 3.031797035646377e-12 relative error = 1.388083441200653e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.91000000000356 y[1] (closed_form) = -2.175035674260872 y[1] (numeric) = -2.175035674263913 absolute error = 3.040678819843379e-12 relative error = 1.39799032072275e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.92000000000357 y[1] (closed_form) = -2.165906824940588 y[1] (numeric) = -2.165906824943641 absolute error = 3.05266922850933e-12 relative error = 1.409418537010735e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.93000000000358 y[1] (closed_form) = -2.156773962779106 y[1] (numeric) = -2.156773962782169 absolute error = 3.063327369545732e-12 relative error = 1.420328426813206e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.94000000000359 y[1] (closed_form) = -2.147637089386066 y[1] (numeric) = -2.147637089389142 absolute error = 3.075761867421534e-12 relative error = 1.432160900285432e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.95000000000361 y[1] (closed_form) = -2.138496206369826 y[1] (numeric) = -2.138496206372911 absolute error = 3.085087740828385e-12 relative error = 1.442643541587306e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.96000000000362 y[1] (closed_form) = -2.129351315337448 y[1] (numeric) = -2.129351315340542 absolute error = 3.093525435815536e-12 relative error = 1.452801805664131e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.97000000000363 y[1] (closed_form) = -2.120202417894703 y[1] (numeric) = -2.120202417897809 absolute error = 3.106404022901188e-12 relative error = 1.465145024212242e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.98000000000364 y[1] (closed_form) = -2.111049515646084 y[1] (numeric) = -2.111049515649202 absolute error = 3.11883852077699e-12 relative error = 1.477387667916673e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 22.99000000000365 y[1] (closed_form) = -2.101892610194795 y[1] (numeric) = -2.101892610197926 absolute error = 3.130828929442941e-12 relative error = 1.489528491730502e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.00000000000367 y[1] (closed_form) = -2.092731703142764 y[1] (numeric) = -2.092731703145904 absolute error = 3.139710713639943e-12 relative error = 1.500292994522363e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.01000000000368 y[1] (closed_form) = -2.083566796090622 y[1] (numeric) = -2.083566796093775 absolute error = 3.152589300725595e-12 relative error = 1.51307330614059e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.02000000000369 y[1] (closed_form) = -2.074397890637734 y[1] (numeric) = -2.074397890640898 absolute error = 3.164579709391546e-12 relative error = 1.525541326316456e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.0300000000037 y[1] (closed_form) = -2.06522498838218 y[1] (numeric) = -2.065224988385358 absolute error = 3.177458296477198e-12 relative error = 1.538553094385276e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.04000000000372 y[1] (closed_form) = -2.056048090920772 y[1] (numeric) = -2.056048090923957 absolute error = 3.185451902254499e-12 relative error = 1.549308071304859e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.05000000000373 y[1] (closed_form) = -2.046867199849029 y[1] (numeric) = -2.046867199852228 absolute error = 3.199218667759851e-12 relative error = 1.562983015212622e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.06000000000374 y[1] (closed_form) = -2.037682316761217 y[1] (numeric) = -2.037682316764424 absolute error = 3.207656362747002e-12 relative error = 1.574169013669115e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.07000000000375 y[1] (closed_form) = -2.028493443250309 y[1] (numeric) = -2.02849344325353 absolute error = 3.221423128252354e-12 relative error = 1.588086537312432e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.08000000000376 y[1] (closed_form) = -2.019300580908027 y[1] (numeric) = -2.019300580911258 absolute error = 3.231193090869056e-12 relative error = 1.600154588880509e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.09000000000378 y[1] (closed_form) = -2.010103731324808 y[1] (numeric) = -2.01010373132805 absolute error = 3.241851231905457e-12 relative error = 1.612778077760612e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.10000000000379 y[1] (closed_form) = -2.00090289608983 y[1] (numeric) = -2.000902896093082 absolute error = 3.252509372941859e-12 relative error = 1.625520848262013e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.1100000000038 y[1] (closed_form) = -1.991698076791003 y[1] (numeric) = -1.991698076794264 absolute error = 3.261169112533935e-12 relative error = 1.637381263021696e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.12000000000381 y[1] (closed_form) = -1.982489275014967 y[1] (numeric) = -1.982489275018241 absolute error = 3.274491788829437e-12 relative error = 1.651707189591084e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.13000000000383 y[1] (closed_form) = -1.973276492347104 y[1] (numeric) = -1.973276492350392 absolute error = 3.288480598939714e-12 relative error = 1.666507765988864e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.14000000000384 y[1] (closed_form) = -1.964059730371538 y[1] (numeric) = -1.964059730374838 absolute error = 3.300026918395815e-12 relative error = 1.680207005604434e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.15000000000385 y[1] (closed_form) = -1.954838990671128 y[1] (numeric) = -1.954838990674438 absolute error = 3.310240970222367e-12 relative error = 1.69335734862026e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.16000000000386 y[1] (closed_form) = -1.94561427482747 y[1] (numeric) = -1.945614274830792 absolute error = 3.321787289678468e-12 relative error = 1.707320578727267e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.17000000000387 y[1] (closed_form) = -1.936385584420911 y[1] (numeric) = -1.936385584424243 absolute error = 3.331779296900095e-12 relative error = 1.720617692935617e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.18000000000389 y[1] (closed_form) = -1.927152921030537 y[1] (numeric) = -1.927152921033879 absolute error = 3.342215393331571e-12 relative error = 1.734276173342973e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.1900000000039 y[1] (closed_form) = -1.917916286234178 y[1] (numeric) = -1.917916286237533 absolute error = 3.355093980417223e-12 relative error = 1.749343287034149e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.20000000000391 y[1] (closed_form) = -1.908675681608418 y[1] (numeric) = -1.908675681611784 absolute error = 3.366196210663475e-12 relative error = 1.763629223706995e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.21000000000392 y[1] (closed_form) = -1.899431108728585 y[1] (numeric) = -1.899431108731964 absolute error = 3.379074797749126e-12 relative error = 1.778993079675822e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.22000000000394 y[1] (closed_form) = -1.890182569168761 y[1] (numeric) = -1.890182569172151 absolute error = 3.389510894180603e-12 relative error = 1.793218787151971e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.23000000000395 y[1] (closed_form) = -1.880930064501776 y[1] (numeric) = -1.880930064505176 absolute error = 3.399946990612079e-12 relative error = 1.807588200528159e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.24000000000396 y[1] (closed_form) = -1.87167359629921 y[1] (numeric) = -1.871673596302623 absolute error = 3.412825577697731e-12 relative error = 1.823408517620691e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.25000000000397 y[1] (closed_form) = -1.862413166131411 y[1] (numeric) = -1.862413166134832 absolute error = 3.421485317289807e-12 relative error = 1.837124747349638e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.26000000000398 y[1] (closed_form) = -1.853148775567465 y[1] (numeric) = -1.853148775570898 absolute error = 3.433031636745909e-12 relative error = 1.852539678415543e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.270000000004 y[1] (closed_form) = -1.843880426175229 y[1] (numeric) = -1.843880426178674 absolute error = 3.445244090016786e-12 relative error = 1.868474788879491e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.28000000000401 y[1] (closed_form) = -1.834608119521313 y[1] (numeric) = -1.834608119524771 absolute error = 3.458122677102438e-12 relative error = 1.88493806405083e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.29000000000402 y[1] (closed_form) = -1.825331857171097 y[1] (numeric) = -1.825331857174563 absolute error = 3.465894238274814e-12 relative error = 1.898774858203737e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.30000000000403 y[1] (closed_form) = -1.816051640688706 y[1] (numeric) = -1.816051640692184 absolute error = 3.47810669154569e-12 relative error = 1.91520252707499e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.31000000000405 y[1] (closed_form) = -1.806767471637041 y[1] (numeric) = -1.806767471640531 absolute error = 3.490097100211642e-12 relative error = 1.931680282604048e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.32000000000406 y[1] (closed_form) = -1.797479351577767 y[1] (numeric) = -1.797479351581269 absolute error = 3.502309553482519e-12 relative error = 1.948456070111909e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.33000000000407 y[1] (closed_form) = -1.788187282071316 y[1] (numeric) = -1.788187282074827 absolute error = 3.510525203864745e-12 relative error = 1.963175355882404e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.34000000000408 y[1] (closed_form) = -1.778891264676879 y[1] (numeric) = -1.778891264680402 absolute error = 3.522737657135622e-12 relative error = 1.980299598455501e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.35000000000409 y[1] (closed_form) = -1.769591300952428 y[1] (numeric) = -1.769591300955961 absolute error = 3.533839887381873e-12 relative error = 1.996980820079695e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.36000000000411 y[1] (closed_form) = -1.7602873924547 y[1] (numeric) = -1.760287392458243 absolute error = 3.543165760788725e-12 relative error = 2.012833686122027e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.37000000000412 y[1] (closed_form) = -1.750979540739198 y[1] (numeric) = -1.750979540742757 absolute error = 3.558486838528552e-12 relative error = 2.032283505166651e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.38000000000413 y[1] (closed_form) = -1.741667747360218 y[1] (numeric) = -1.741667747363787 absolute error = 3.568922934960028e-12 relative error = 2.04914108352142e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.39000000000414 y[1] (closed_form) = -1.732352013870813 y[1] (numeric) = -1.732352013874392 absolute error = 3.579359031391505e-12 relative error = 2.066184587619517e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.40000000000416 y[1] (closed_form) = -1.723032341822815 y[1] (numeric) = -1.723032341826408 absolute error = 3.592459663082082e-12 relative error = 2.084963570261007e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.41000000000417 y[1] (closed_form) = -1.713708732766847 y[1] (numeric) = -1.713708732770448 absolute error = 3.600897358069233e-12 relative error = 2.101230675445908e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.42000000000418 y[1] (closed_form) = -1.704381188252292 y[1] (numeric) = -1.704381188255905 absolute error = 3.613331855945034e-12 relative error = 2.120025661425083e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.43000000000419 y[1] (closed_form) = -1.69504970982733 y[1] (numeric) = -1.695049709830954 absolute error = 3.623767952376511e-12 relative error = 2.137853498553534e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.4400000000042 y[1] (closed_form) = -1.685714299038914 y[1] (numeric) = -1.685714299042552 absolute error = 3.637978807091713e-12 relative error = 2.158123004097346e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.45000000000422 y[1] (closed_form) = -1.676374957432788 y[1] (numeric) = -1.676374957436438 absolute error = 3.64974717115274e-12 relative error = 2.177166364225571e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.46000000000423 y[1] (closed_form) = -1.667031686553479 y[1] (numeric) = -1.667031686557138 absolute error = 3.659517133769441e-12 relative error = 2.195229498807756e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.47000000000424 y[1] (closed_form) = -1.657684487944294 y[1] (numeric) = -1.657684487947966 absolute error = 3.671507542435393e-12 relative error = 2.214840983997174e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.48000000000425 y[1] (closed_form) = -1.648333363147337 y[1] (numeric) = -1.648333363151021 absolute error = 3.683497951101344e-12 relative error = 2.23468021302927e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.49000000000427 y[1] (closed_form) = -1.6389783137035 y[1] (numeric) = -1.638978313707193 absolute error = 3.692379735298346e-12 relative error = 2.252854540189063e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.50000000000428 y[1] (closed_form) = -1.629619341152456 y[1] (numeric) = -1.629619341156163 absolute error = 3.707922857643098e-12 relative error = 2.275330664043837e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.51000000000429 y[1] (closed_form) = -1.620256447032688 y[1] (numeric) = -1.620256447036406 absolute error = 3.718580998679499e-12 relative error = 2.295057060559549e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.5200000000043 y[1] (closed_form) = -1.610889632881459 y[1] (numeric) = -1.610889632885188 absolute error = 3.728795050506051e-12 relative error = 2.314742720043591e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.53000000000431 y[1] (closed_form) = -1.601518900234829 y[1] (numeric) = -1.601518900238572 absolute error = 3.742783860616328e-12 relative error = 2.337021348962867e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.54000000000433 y[1] (closed_form) = -1.592144250627666 y[1] (numeric) = -1.592144250631417 absolute error = 3.751443600208404e-12 relative error = 2.356220925792047e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.55000000000434 y[1] (closed_form) = -1.582765685593618 y[1] (numeric) = -1.58276568559738 absolute error = 3.762767875059581e-12 relative error = 2.377337283281038e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.56000000000435 y[1] (closed_form) = -1.573383206665145 y[1] (numeric) = -1.573383206668919 absolute error = 3.774092149910757e-12 relative error = 2.398711346303302e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.57000000000436 y[1] (closed_form) = -1.563996815373507 y[1] (numeric) = -1.563996815377291 absolute error = 3.784084157132384e-12 relative error = 2.419496075654531e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.58000000000438 y[1] (closed_form) = -1.554606513248757 y[1] (numeric) = -1.554606513252555 absolute error = 3.798295011847586e-12 relative error = 2.443251703551694e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.59000000000439 y[1] (closed_form) = -1.545212301819767 y[1] (numeric) = -1.545212301823576 absolute error = 3.809619286698762e-12 relative error = 2.46543422040599e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.6000000000044 y[1] (closed_form) = -1.535814182614203 y[1] (numeric) = -1.535814182618023 absolute error = 3.819833338525314e-12 relative error = 2.487171548333629e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.61000000000441 y[1] (closed_form) = -1.526412157158539 y[1] (numeric) = -1.52641215716237 absolute error = 3.830935568771565e-12 relative error = 2.509764843528869e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.62000000000442 y[1] (closed_form) = -1.517006226978058 y[1] (numeric) = -1.517006226981901 absolute error = 3.842925977437517e-12 relative error = 2.533230193189643e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.63000000000444 y[1] (closed_form) = -1.507596393596852 y[1] (numeric) = -1.507596393600708 absolute error = 3.856026609128094e-12 relative error = 2.557731383217435e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.64000000000445 y[1] (closed_form) = -1.498182658537829 y[1] (numeric) = -1.498182658541695 absolute error = 3.86646270555957e-12 relative error = 2.58076856218126e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.65000000000446 y[1] (closed_form) = -1.488765023322699 y[1] (numeric) = -1.488765023326577 absolute error = 3.877564935805822e-12 relative error = 2.604551339573844e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.66000000000447 y[1] (closed_form) = -1.47934348947199 y[1] (numeric) = -1.479343489475882 absolute error = 3.891997835125949e-12 relative error = 2.630895301073781e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.67000000000449 y[1] (closed_form) = -1.469918058505055 y[1] (numeric) = -1.469918058508955 absolute error = 3.89999144090325e-12 relative error = 2.653203298195849e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.6800000000045 y[1] (closed_form) = -1.460488731940043 y[1] (numeric) = -1.460488731943955 absolute error = 3.911981849569202e-12 relative error = 2.67854298634178e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.69000000000451 y[1] (closed_form) = -1.451055511293934 y[1] (numeric) = -1.451055511297859 absolute error = 3.925748615074554e-12 relative error = 2.705443440667469e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.70000000000452 y[1] (closed_form) = -1.441618398082529 y[1] (numeric) = -1.441618398086465 absolute error = 3.936406756110955e-12 relative error = 2.730546975084877e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.71000000000453 y[1] (closed_form) = -1.432177393820442 y[1] (numeric) = -1.432177393824389 absolute error = 3.946842852542432e-12 relative error = 2.755833788169165e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.72000000000455 y[1] (closed_form) = -1.422732500021109 y[1] (numeric) = -1.42273250002507 absolute error = 3.961275751862559e-12 relative error = 2.784273046271021e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.73000000000456 y[1] (closed_form) = -1.413283718196798 y[1] (numeric) = -1.41328371820077 absolute error = 3.971711848294035e-12 relative error = 2.810272132308666e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.74000000000457 y[1] (closed_form) = -1.403831049858592 y[1] (numeric) = -1.403831049862574 absolute error = 3.981703855515661e-12 relative error = 2.836312714351729e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.75000000000458 y[1] (closed_form) = -1.394374496516402 y[1] (numeric) = -1.394374496520396 absolute error = 3.993694264181613e-12 relative error = 2.864147525760942e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.7600000000046 y[1] (closed_form) = -1.38491405967897 y[1] (numeric) = -1.384914059682975 absolute error = 4.00501853903279e-12 relative error = 2.891889580470556e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.77000000000461 y[1] (closed_form) = -1.37544974085386 y[1] (numeric) = -1.375449740857878 absolute error = 4.017897126118442e-12 relative error = 2.921151538131948e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.78000000000462 y[1] (closed_form) = -1.365981541547477 y[1] (numeric) = -1.365981541551504 absolute error = 4.027000954920368e-12 relative error = 2.948063961653763e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.79000000000463 y[1] (closed_form) = -1.356509463265041 y[1] (numeric) = -1.356509463269083 absolute error = 4.04121180963557e-12 relative error = 2.979125409054355e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.80000000000464 y[1] (closed_form) = -1.347033507510623 y[1] (numeric) = -1.347033507514676 absolute error = 4.052536084486746e-12 relative error = 3.008489441347312e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.81000000000466 y[1] (closed_form) = -1.337553675787117 y[1] (numeric) = -1.33755367579118 absolute error = 4.062972180918223e-12 relative error = 3.037614306227573e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.82000000000467 y[1] (closed_form) = -1.328069969596253 y[1] (numeric) = -1.328069969600326 absolute error = 4.072742143534924e-12 relative error = 3.066662327116002e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.83000000000468 y[1] (closed_form) = -1.318582390438596 y[1] (numeric) = -1.318582390442683 absolute error = 4.086286864435351e-12 relative error = 3.099000027655565e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.84000000000469 y[1] (closed_form) = -1.309090939813558 y[1] (numeric) = -1.309090939817657 absolute error = 4.098721362311153e-12 relative error = 3.130967633841311e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.85000000000471 y[1] (closed_form) = -1.299595619219385 y[1] (numeric) = -1.299595619223494 absolute error = 4.108713369532779e-12 relative error = 3.16153217875628e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.86000000000472 y[1] (closed_form) = -1.290096430153163 y[1] (numeric) = -1.290096430157281 absolute error = 4.118039242939631e-12 relative error = 3.192039871353437e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.87000000000473 y[1] (closed_form) = -1.280593374110815 y[1] (numeric) = -1.280593374114947 absolute error = 4.132028053049908e-12 relative error = 3.226651126411612e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.88000000000474 y[1] (closed_form) = -1.27108645258712 y[1] (numeric) = -1.271086452591264 absolute error = 4.144018461715859e-12 relative error = 3.260217629793225e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.89000000000475 y[1] (closed_form) = -1.261575667075697 y[1] (numeric) = -1.26157566707985 absolute error = 4.153566379727636e-12 relative error = 3.29236405562221e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.90000000000477 y[1] (closed_form) = -1.252061019069 y[1] (numeric) = -1.252061019073168 absolute error = 4.168443368257613e-12 relative error = 3.329265351106577e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.91000000000478 y[1] (closed_form) = -1.24254251005835 y[1] (numeric) = -1.24254251006253 absolute error = 4.179989687713714e-12 relative error = 3.364061715294894e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.92000000000479 y[1] (closed_form) = -1.233020141533903 y[1] (numeric) = -1.233020141538093 absolute error = 4.190869873355041e-12 relative error = 3.398865705584916e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.9300000000048 y[1] (closed_form) = -1.223493914984669 y[1] (numeric) = -1.223493914988871 absolute error = 4.201750058996367e-12 relative error = 3.434222277312281e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.94000000000482 y[1] (closed_form) = -1.213963831898507 y[1] (numeric) = -1.213963831902722 absolute error = 4.214850690686944e-12 relative error = 3.471973859464476e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.95000000000483 y[1] (closed_form) = -1.204429893762136 y[1] (numeric) = -1.204429893766362 absolute error = 4.226397010143046e-12 relative error = 3.509043599824269e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.96000000000484 y[1] (closed_form) = -1.194892102061122 y[1] (numeric) = -1.19489210206536 absolute error = 4.238165374204073e-12 relative error = 3.546902157017756e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.97000000000485 y[1] (closed_form) = -1.185350458279892 y[1] (numeric) = -1.185350458284139 absolute error = 4.247047158401074e-12 relative error = 3.582946400986025e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.98000000000486 y[1] (closed_form) = -1.175804963901719 y[1] (numeric) = -1.175804963905981 absolute error = 4.261924146931051e-12 relative error = 3.624686302385172e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 23.99000000000488 y[1] (closed_form) = -1.166255620408752 y[1] (numeric) = -1.166255620413024 absolute error = 4.272138198757602e-12 relative error = 3.663123353060708e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.00000000000489 y[1] (closed_form) = -1.156702429281982 y[1] (numeric) = -1.156702429286266 absolute error = 4.284794741238329e-12 relative error = 3.704318961185288e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.0100000000049 y[1] (closed_form) = -1.147145392001274 y[1] (numeric) = -1.147145392005568 absolute error = 4.293898570040255e-12 relative error = 3.743116260572039e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.02000000000491 y[1] (closed_form) = -1.137584510045343 y[1] (numeric) = -1.13758451004965 absolute error = 4.306999201730832e-12 relative error = 3.786091638641562e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.03000000000493 y[1] (closed_form) = -1.128019784891777 y[1] (numeric) = -1.128019784896097 absolute error = 4.320543922631259e-12 relative error = 3.830202253984204e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.04000000000494 y[1] (closed_form) = -1.118451218017029 y[1] (numeric) = -1.118451218021358 absolute error = 4.32942570682826e-12 relative error = 3.870911522188841e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.05000000000495 y[1] (closed_form) = -1.108878810896407 y[1] (numeric) = -1.108878810900749 absolute error = 4.342526338518837e-12 relative error = 3.916141507842847e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.06000000000496 y[1] (closed_form) = -1.099302565004098 y[1] (numeric) = -1.099302565008453 absolute error = 4.354960836394639e-12 relative error = 3.961567065367853e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.07000000000497 y[1] (closed_form) = -1.089722481813155 y[1] (numeric) = -1.089722481817521 absolute error = 4.366285111245816e-12 relative error = 4.006786300288943e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.08000000000499 y[1] (closed_form) = -1.080138562795497 y[1] (numeric) = -1.080138562799874 absolute error = 4.376943252282217e-12 relative error = 4.052205340168847e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.090000000005 y[1] (closed_form) = -1.070550809421917 y[1] (numeric) = -1.070550809426305 absolute error = 4.388045482528469e-12 relative error = 4.098867091509607e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.10000000000501 y[1] (closed_form) = -1.060959223162079 y[1] (numeric) = -1.060959223166479 absolute error = 4.39959180198457e-12 relative error = 4.146805745155823e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.11000000000502 y[1] (closed_form) = -1.051363805484524 y[1] (numeric) = -1.051363805488935 absolute error = 4.410916076835747e-12 relative error = 4.195423176854528e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.12000000000504 y[1] (closed_form) = -1.041764557856663 y[1] (numeric) = -1.041764557861086 absolute error = 4.423350574711549e-12 relative error = 4.246017529922688e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.13000000000505 y[1] (closed_form) = -1.032161481744787 y[1] (numeric) = -1.032161481749224 absolute error = 4.436895295611976e-12 relative error = 4.298644518405936e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.14000000000506 y[1] (closed_form) = -1.022554578614066 y[1] (numeric) = -1.022554578618515 absolute error = 4.448441615068077e-12 relative error = 4.350321936944759e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.15000000000507 y[1] (closed_form) = -1.012943849928551 y[1] (numeric) = -1.012943849933008 absolute error = 4.457323399265078e-12 relative error = 4.400365725681124e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.16000000000508 y[1] (closed_form) = -1.003329297151158 y[1] (numeric) = -1.003329297155629 absolute error = 4.47153425398028e-12 relative error = 4.456696586730504e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.1700000000051 y[1] (closed_form) = -0.9937109217437055 y[1] (numeric) = -0.9937109217481883 absolute error = 4.482858528831457e-12 relative error = 4.511230007380014e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.18000000000511 y[1] (closed_form) = -0.9840887251668811 y[1] (numeric) = -0.9840887251713766 absolute error = 4.495515071312184e-12 relative error = 4.568200972478206e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.19000000000512 y[1] (closed_form) = -0.9744627088802638 y[1] (numeric) = -0.9744627088847698 absolute error = 4.506062190046123e-12 relative error = 4.624150466695592e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.20000000000513 y[1] (closed_form) = -0.96483287434231 y[1] (numeric) = -0.9648328743468294 absolute error = 4.519384866341625e-12 relative error = 4.684111607849513e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.21000000000515 y[1] (closed_form) = -0.9551992230103714 y[1] (numeric) = -0.9551992230149031 absolute error = 4.531708341914964e-12 relative error = 4.744254635837114e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.22000000000516 y[1] (closed_form) = -0.9455617563406875 y[1] (numeric) = -0.9455617563452268 absolute error = 4.539257858482415e-12 relative error = 4.800593750797713e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.23000000000517 y[1] (closed_form) = -0.9359204757883717 y[1] (numeric) = -0.9359204757929256 absolute error = 4.553912802407467e-12 relative error = 4.865704854433795e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.24000000000518 y[1] (closed_form) = -0.9262753828074501 y[1] (numeric) = -0.9262753828120152 absolute error = 4.565015032653719e-12 relative error = 4.928356207435422e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.25000000000519 y[1] (closed_form) = -0.9166264788508265 y[1] (numeric) = -0.9166264788554025 absolute error = 4.576006240597508e-12 relative error = 4.992225673356547e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.26000000000521 y[1] (closed_form) = -0.9069737653702994 y[1] (numeric) = -0.9069737653748883 absolute error = 4.58888482768316e-12 relative error = 5.05955629908392e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.27000000000522 y[1] (closed_form) = -0.8973172438165662 y[1] (numeric) = -0.8973172438211673 absolute error = 4.601097280954036e-12 relative error = 5.127614912853066e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.28000000000523 y[1] (closed_form) = -0.8876569156392158 y[1] (numeric) = -0.8876569156438293 absolute error = 4.613531778829838e-12 relative error = 5.197426728216904e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.29000000000524 y[1] (closed_form) = -0.8779927822867393 y[1] (numeric) = -0.8779927822913615 absolute error = 4.622191518421914e-12 relative error = 5.264498309864666e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.30000000000526 y[1] (closed_form) = -0.8683248452065122 y[1] (numeric) = -0.8683248452111488 absolute error = 4.636624417742041e-12 relative error = 5.339734827741017e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.31000000000527 y[1] (closed_form) = -0.8586531058448266 y[1] (numeric) = -0.8586531058494757 absolute error = 4.649169937920306e-12 relative error = 5.414491494031224e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.32000000000528 y[1] (closed_form) = -0.8489775656468659 y[1] (numeric) = -0.8489775656515269 absolute error = 4.661049324283795e-12 relative error = 5.490191393611652e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.33000000000529 y[1] (closed_form) = -0.8392982260567194 y[1] (numeric) = -0.8392982260613895 absolute error = 4.670042130783258e-12 relative error = 5.564222568090665e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.3400000000053 y[1] (closed_form) = -0.8296150885173681 y[1] (numeric) = -0.8296150885220533 absolute error = 4.685252186220623e-12 relative error = 5.647501173820004e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.35000000000532 y[1] (closed_form) = -0.8199281544707162 y[1] (numeric) = -0.8199281544754127 absolute error = 4.696465438769337e-12 relative error = 5.727898734982483e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.36000000000533 y[1] (closed_form) = -0.8102374253575597 y[1] (numeric) = -0.8102374253622671 absolute error = 4.707345624410664e-12 relative error = 5.809834842340566e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.37000000000534 y[1] (closed_form) = -0.8005429026176039 y[1] (numeric) = -0.8005429026223236 absolute error = 4.719780122286465e-12 relative error = 5.895724147767465e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.38000000000535 y[1] (closed_form) = -0.7908445876894667 y[1] (numeric) = -0.7908445876941965 absolute error = 4.729772129508092e-12 relative error = 5.980659415431551e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.39000000000537 y[1] (closed_form) = -0.7811424820106687 y[1] (numeric) = -0.7811424820154101 absolute error = 4.741429471266656e-12 relative error = 6.069865076422637e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.40000000000538 y[1] (closed_form) = -0.7714365870176429 y[1] (numeric) = -0.7714365870223989 absolute error = 4.755973392889246e-12 relative error = 6.165086635669867e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.41000000000539 y[1] (closed_form) = -0.7617269041457426 y[1] (numeric) = -0.761726904150509 absolute error = 4.766409489320722e-12 relative error = 6.25737316534215e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.4200000000054 y[1] (closed_form) = -0.7520134348292231 y[1] (numeric) = -0.7520134348340002 absolute error = 4.777067630357124e-12 relative error = 6.352370062965645e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.43000000000541 y[1] (closed_form) = -0.7422961805012562 y[1] (numeric) = -0.7422961805060457 absolute error = 4.789502128232925e-12 relative error = 6.452279095655161e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.44000000000543 y[1] (closed_form) = -0.7325751425939337 y[1] (numeric) = -0.7325751425987352 absolute error = 4.801492536898877e-12 relative error = 6.5542662557421e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.45000000000544 y[1] (closed_form) = -0.7228503225382603 y[1] (numeric) = -0.7228503225430742 absolute error = 4.813927034774679e-12 relative error = 6.659645689678555e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.46000000000545 y[1] (closed_form) = -0.7131217217641606 y[1] (numeric) = -0.7131217217689867 absolute error = 4.826139488045555e-12 relative error = 6.767623732041678e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.47000000000546 y[1] (closed_form) = -0.7033893417004791 y[1] (numeric) = -0.7033893417053156 absolute error = 4.836575584477032e-12 relative error = 6.876100187677521e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.48000000000548 y[1] (closed_form) = -0.6936531837749733 y[1] (numeric) = -0.6936531837798245 absolute error = 4.851230528402084e-12 relative error = 6.993740736546323e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.49000000000549 y[1] (closed_form) = -0.6839132494143385 y[1] (numeric) = -0.6839132494191983 absolute error = 4.859779245691698e-12 relative error = 7.105841639788841e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.5000000000055 y[1] (closed_form) = -0.6741695400441721 y[1] (numeric) = -0.6741695400490449 absolute error = 4.872879877382275e-12 relative error = 7.227973956021508e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.51000000000551 y[1] (closed_form) = -0.6644220570890091 y[1] (numeric) = -0.6644220570938962 absolute error = 4.887090732097477e-12 relative error = 7.355401103793847e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.52000000000552 y[1] (closed_form) = -0.654670801972312 y[1] (numeric) = -0.6546708019772095 absolute error = 4.897526828528953e-12 relative error = 7.480900039797535e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.53000000000554 y[1] (closed_form) = -0.6449157761164592 y[1] (numeric) = -0.6449157761213687 absolute error = 4.909517237194905e-12 relative error = 7.612648688420892e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.54000000000555 y[1] (closed_form) = -0.6351569809427637 y[1] (numeric) = -0.6351569809476854 absolute error = 4.921618668163319e-12 relative error = 7.748665000671422e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.55000000000556 y[1] (closed_form) = -0.6253944178714654 y[1] (numeric) = -0.6253944178763995 absolute error = 4.934053166039121e-12 relative error = 7.889506246045827e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.56000000000557 y[1] (closed_form) = -0.6156280883217384 y[1] (numeric) = -0.6156280883266817 absolute error = 4.943268017143509e-12 relative error = 8.029633655311822e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.57000000000559 y[1] (closed_form) = -0.6058579937116768 y[1] (numeric) = -0.6058579937166342 absolute error = 4.957367849556249e-12 relative error = 8.182392410448945e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.5800000000056 y[1] (closed_form) = -0.5960841354583231 y[1] (numeric) = -0.5960841354632911 absolute error = 4.96802599059265e-12 relative error = 8.334437531662851e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.59000000000561 y[1] (closed_form) = -0.5863065149776396 y[1] (numeric) = -0.5863065149826207 absolute error = 4.981015599980765e-12 relative error = 8.495582895187049e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.60000000000562 y[1] (closed_form) = -0.5765251336845338 y[1] (numeric) = -0.5765251336895262 absolute error = 4.992339874831941e-12 relative error = 8.659362069657274e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.61000000000563 y[1] (closed_form) = -0.5667399929928436 y[1] (numeric) = -0.5667399929978469 absolute error = 5.00333108277573e-12 relative error = 8.828265420892767e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.62000000000565 y[1] (closed_form) = -0.5569510943153411 y[1] (numeric) = -0.5569510943203596 absolute error = 5.018541138213095e-12 relative error = 9.010739343967675e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.63000000000566 y[1] (closed_form) = -0.5471584390637503 y[1] (numeric) = -0.5471584390687796 absolute error = 5.029310301551959e-12 relative error = 9.191689175365138e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.64000000000567 y[1] (closed_form) = -0.5373620286487188 y[1] (numeric) = -0.5373620286537615 absolute error = 5.042632977847461e-12 relative error = 9.384051549991266e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.65000000000568 y[1] (closed_form) = -0.5275618644798463 y[1] (numeric) = -0.5275618644849015 absolute error = 5.055178498025725e-12 relative error = 9.582152991687368e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.6600000000057 y[1] (closed_form) = -0.5177579479656735 y[1] (numeric) = -0.5177579479707376 absolute error = 5.064060282222727e-12 relative error = 9.780748517951219e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.67000000000571 y[1] (closed_form) = -0.507950280513672 y[1] (numeric) = -0.5079502805187514 absolute error = 5.079381359962554e-12 relative error = 9.999760911296194e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.68000000000572 y[1] (closed_form) = -0.4981388635302793 y[1] (numeric) = -0.4981388635353685 absolute error = 5.089206833730486e-12 relative error = 1.021644205325317e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.69000000000573 y[1] (closed_form) = -0.4883236984208601 y[1] (numeric) = -0.488323698425961 absolute error = 5.10086417548905e-12 relative error = 1.044566174442119e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.70000000000574 y[1] (closed_form) = -0.4785047865897347 y[1] (numeric) = -0.4785047865948472 absolute error = 5.112466006096383e-12 relative error = 1.068425259135341e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.71000000000576 y[1] (closed_form) = -0.4686821294401682 y[1] (numeric) = -0.4686821294452938 absolute error = 5.125622148938191e-12 relative error = 1.093624404894774e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.72000000000577 y[1] (closed_form) = -0.4588557283743775 y[1] (numeric) = -0.4588557283795168 absolute error = 5.139277892141081e-12 relative error = 1.120020427847416e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.73000000000578 y[1] (closed_form) = -0.4490255847935352 y[1] (numeric) = -0.4490255847986823 absolute error = 5.147104964464688e-12 relative error = 1.146283227231108e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.74000000000579 y[1] (closed_form) = -0.4391917000977479 y[1] (numeric) = -0.4391917001029083 absolute error = 5.160372129608959e-12 relative error = 1.174970321265281e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.75000000000581 y[1] (closed_form) = -0.4293540756860921 y[1] (numeric) = -0.4293540756912654 absolute error = 5.173306227845842e-12 relative error = 1.20490441824247e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.76000000000582 y[1] (closed_form) = -0.4195127129565925 y[1] (numeric) = -0.4195127129617784 absolute error = 5.185907259175337e-12 relative error = 1.236174041693924e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.77000000000583 y[1] (closed_form) = -0.4096676133062296 y[1] (numeric) = -0.4096676133114272 absolute error = 5.197620112085133e-12 relative error = 1.26874078967035e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.78000000000584 y[1] (closed_form) = -0.399818778130939 y[1] (numeric) = -0.3998187781361479 absolute error = 5.208888875785078e-12 relative error = 1.302812464220775e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.79000000000585 y[1] (closed_form) = -0.3899662088256122 y[1] (numeric) = -0.389966208830834 absolute error = 5.221878485173193e-12 relative error = 1.339059222823162e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.80000000000587 y[1] (closed_form) = -0.3801099067841029 y[1] (numeric) = -0.380109906789338 absolute error = 5.235090139166232e-12 relative error = 1.377256957982863e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.81000000000588 y[1] (closed_form) = -0.3702498733992279 y[1] (numeric) = -0.3702498734044719 absolute error = 5.244027434514464e-12 relative error = 1.416348204624504e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.82000000000589 y[1] (closed_form) = -0.3603861100627519 y[1] (numeric) = -0.3603861100680085 absolute error = 5.25662846584396e-12 relative error = 1.45861017366309e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.8300000000059 y[1] (closed_form) = -0.3505186181654132 y[1] (numeric) = -0.3505186181706832 absolute error = 5.270006653290693e-12 relative error = 1.503488368427758e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.84000000000592 y[1] (closed_form) = -0.3406473990969126 y[1] (numeric) = -0.3406473991021945 absolute error = 5.281941550805413e-12 relative error = 1.550559776709972e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.85000000000593 y[1] (closed_form) = -0.3307724542459098 y[1] (numeric) = -0.3307724542512053 absolute error = 5.295430760554609e-12 relative error = 1.600928581742713e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.86000000000594 y[1] (closed_form) = -0.3208937850000382 y[1] (numeric) = -0.3208937850053442 absolute error = 5.305977879288548e-12 relative error = 1.653499733342582e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.87000000000595 y[1] (closed_form) = -0.3110113927458897 y[1] (numeric) = -0.3110113927512063 absolute error = 5.316580509173718e-12 relative error = 1.709448796146707e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.88000000000596 y[1] (closed_form) = -0.3011252788690264 y[1] (numeric) = -0.3011252788743551 absolute error = 5.328681940142133e-12 relative error = 1.769589707033473e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.89000000000598 y[1] (closed_form) = -0.2912354447539798 y[1] (numeric) = -0.2912354447593228 absolute error = 5.343003817159797e-12 relative error = 1.83459943265947e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.90000000000599 y[1] (closed_form) = -0.2813418917842583 y[1] (numeric) = -0.2813418917896121 absolute error = 5.353772980498661e-12 relative error = 1.902941985121825e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.910000000006 y[1] (closed_form) = -0.2714446213423329 y[1] (numeric) = -0.2714446213476968 absolute error = 5.363820498871519e-12 relative error = 1.976027549319876e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.92000000000601 y[1] (closed_form) = -0.2615436348096445 y[1] (numeric) = -0.2615436348150233 absolute error = 5.378808509703958e-12 relative error = 2.056562574584825e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.93000000000603 y[1] (closed_form) = -0.2516389335666211 y[1] (numeric) = -0.2516389335720118 absolute error = 5.390632384916216e-12 relative error = 2.142209199709969e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.94000000000604 y[1] (closed_form) = -0.2417305189926537 y[1] (numeric) = -0.2417305189980571 absolute error = 5.403399949699406e-12 relative error = 2.235299031424169e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.95000000000605 y[1] (closed_form) = -0.231818392466117 y[1] (numeric) = -0.2318183924715303 absolute error = 5.413253179042954e-12 relative error = 2.335126700455471e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.96000000000606 y[1] (closed_form) = -0.2219025553643519 y[1] (numeric) = -0.2219025553697791 absolute error = 5.427186478002e-12 relative error = 2.445752131646639e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.97000000000607 y[1] (closed_form) = -0.2119830090636903 y[1] (numeric) = -0.2119830090691297 absolute error = 5.439454442424108e-12 relative error = 2.565986050697971e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.98000000000609 y[1] (closed_form) = -0.2020597549394374 y[1] (numeric) = -0.2020597549448879 absolute error = 5.450473405943512e-12 relative error = 2.697456209217497e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 24.9900000000061 y[1] (closed_form) = -0.1921327943658788 y[1] (numeric) = -0.1921327943713395 absolute error = 5.460631946618832e-12 relative error = 2.842113427143594e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.00000000000611 y[1] (closed_form) = -0.1822021287162769 y[1] (numeric) = -0.1822021287217523 absolute error = 5.4753146461195e-12 relative error = 3.005077209962567e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.01000000000612 y[1] (closed_form) = -0.1722677593628887 y[1] (numeric) = -0.1722677593683767 absolute error = 5.487915677448996e-12 relative error = 3.185689358093111e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.02000000000614 y[1] (closed_form) = -0.162329687676948 y[1] (numeric) = -0.162329687682447 absolute error = 5.499045663270863e-12 relative error = 3.387578539678154e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.03000000000615 y[1] (closed_form) = -0.1523879150286724 y[1] (numeric) = -0.1523879150341828 absolute error = 5.510314426970808e-12 relative error = 3.615978620046097e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.04000000000616 y[1] (closed_form) = -0.1424424427872673 y[1] (numeric) = -0.1424424427927893 absolute error = 5.522027279880604e-12 relative error = 3.876672690967225e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.05000000000617 y[1] (closed_form) = -0.1324932723209251 y[1] (numeric) = -0.1324932723264594 absolute error = 5.534322999878327e-12 relative error = 4.177059637015451e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.06000000000618 y[1] (closed_form) = -0.1225404049968262 y[1] (numeric) = -0.1225404050023744 absolute error = 5.548228543261757e-12 relative error = 4.52767276508141e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.0700000000062 y[1] (closed_form) = -0.1125838421811451 y[1] (numeric) = -0.1125838421867049 absolute error = 5.559747107142243e-12 relative error = 4.938317079458633e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.08000000000621 y[1] (closed_form) = -0.1026235852390407 y[1] (numeric) = -0.1026235852446122 absolute error = 5.571501593415462e-12 relative error = 5.429065434069358e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.09000000000622 y[1] (closed_form) = -0.09265963553466605 y[1] (numeric) = -0.09265963554024947 absolute error = 5.583422613142375e-12 relative error = 6.025733406919663e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.10000000000623 y[1] (closed_form) = -0.08269199443116548 y[1] (numeric) = -0.08269199443676267 absolute error = 5.597189378647727e-12 relative error = 6.768719774085196e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.11000000000625 y[1] (closed_form) = -0.07272066329068139 y[1] (numeric) = -0.07272066329629179 absolute error = 5.610401032640766e-12 relative error = 7.715002557408875e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.12000000000626 y[1] (closed_form) = -0.06274564347435074 y[1] (numeric) = -0.06274564347997183 absolute error = 5.621086929252783e-12 relative error = 8.958529418142918e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.13000000000627 y[1] (closed_form) = -0.05276693634230156 y[1] (numeric) = -0.05276693634793409 absolute error = 5.632529165300326e-12 relative error = 1.067435321384181e-08 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.14000000000628 y[1] (closed_form) = -0.04278454325366354 y[1] (numeric) = -0.04278454325930718 absolute error = 5.643638334440482e-12 relative error = 1.319083459879458e-08 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.15000000000629 y[1] (closed_form) = -0.03279846556656096 y[1] (numeric) = -0.03279846557221811 absolute error = 5.657148360871389e-12 relative error = 1.724821043652428e-08 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.16000000000631 y[1] (closed_form) = -0.02280870463812334 y[1] (numeric) = -0.02280870464379346 absolute error = 5.67011368413084e-12 relative error = 2.485942877551053e-08 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.17000000000632 y[1] (closed_form) = -0.01281526182447834 y[1] (numeric) = -0.01281526183016043 absolute error = 5.682088480285508e-12 relative error = 4.4338450186263e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.18000000000633 y[1] (closed_form) = -0.002818138480755294 y[1] (numeric) = -0.00281813848644798 absolute error = 5.692685472319381e-12 relative error = 2.020016230995744e-07 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.19000000000634 y[1] (closed_form) = 0.007182664038921871 y[1] (numeric) = 0.007182664033212084 absolute error = 5.709786810026429e-12 relative error = 7.94939980359081e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.20000000000636 y[1] (closed_form) = 0.01718714438140623 y[1] (numeric) = 0.01718714437568401 absolute error = 5.722217838455279e-12 relative error = 3.32935926496656e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.21000000000637 y[1] (closed_form) = 0.02719530119455982 y[1] (numeric) = 0.02719530118882699 absolute error = 5.732827407234353e-12 relative error = 2.108021296113152e-08 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.22000000000638 y[1] (closed_form) = 0.03720713312723944 y[1] (numeric) = 0.03720713312149409 absolute error = 5.745355580177858e-12 relative error = 1.544154332055126e-08 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.23000000000639 y[1] (closed_form) = 0.04722263882928956 y[1] (numeric) = 0.04722263882353112 absolute error = 5.758442334080627e-12 relative error = 1.219424089131797e-08 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.2400000000064 y[1] (closed_form) = 0.05724181695154584 y[1] (numeric) = 0.05724181694577557 absolute error = 5.770273148186789e-12 relative error = 1.008052059750518e-08 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.25000000000642 y[1] (closed_form) = 0.0672646661458387 y[1] (numeric) = 0.06726466614005548 absolute error = 5.783221124211479e-12 relative error = 8.597710292165414e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.26000000000643 y[1] (closed_form) = 0.07729118506497912 y[1] (numeric) = 0.07729118505918842 absolute error = 5.790701251839891e-12 relative error = 7.492059084061938e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.27000000000644 y[1] (closed_form) = 0.08732137236278703 y[1] (numeric) = 0.08732137235698031 absolute error = 5.806716218970109e-12 relative error = 6.649822445352114e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.28000000000645 y[1] (closed_form) = 0.09735522669404162 y[1] (numeric) = 0.09735522668822437 absolute error = 5.817249459916241e-12 relative error = 5.975282126555071e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.29000000000647 y[1] (closed_form) = 0.107392746714531 y[1] (numeric) = 0.1073927467087001 absolute error = 5.830932958694746e-12 relative error = 5.429540762370479e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.30000000000648 y[1] (closed_form) = 0.1174339310810169 y[1] (numeric) = 0.1174339310751721 absolute error = 5.844769113139137e-12 relative error = 4.977070135808424e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.31000000000649 y[1] (closed_form) = 0.1274787784512412 y[1] (numeric) = 0.127478778445389 absolute error = 5.852235362979741e-12 relative error = 4.590752621008316e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.3200000000065 y[1] (closed_form) = 0.1375272874839482 y[1] (numeric) = 0.1375272874780825 absolute error = 5.865696817153321e-12 relative error = 4.265114890627033e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.33000000000651 y[1] (closed_form) = 0.1475794568388444 y[1] (numeric) = 0.147579456832966 absolute error = 5.878408870785279e-12 relative error = 3.983216225822306e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.34000000000653 y[1] (closed_form) = 0.1576352851766281 y[1] (numeric) = 0.157635285170734 absolute error = 5.894090771008109e-12 relative error = 3.739068168908925e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.35000000000654 y[1] (closed_form) = 0.1676947711589669 y[1] (numeric) = 0.1676947711530605 absolute error = 5.906442002157064e-12 relative error = 3.522138443158749e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.36000000000655 y[1] (closed_form) = 0.177757913448513 y[1] (numeric) = 0.1777579134425982 absolute error = 5.914796430417368e-12 relative error = 3.327444790316224e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.37000000000656 y[1] (closed_form) = 0.1878247107089024 y[1] (numeric) = 0.1878247107029776 absolute error = 5.924788437638995e-12 relative error = 3.154424364758612e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.38000000000658 y[1] (closed_form) = 0.1978951616047446 y[1] (numeric) = 0.1978951615988055 absolute error = 5.939165825807891e-12 relative error = 3.001167778760639e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.39000000000659 y[1] (closed_form) = 0.2079692648016156 y[1] (numeric) = 0.2079692647956642 absolute error = 5.951433790229999e-12 relative error = 2.86168910387174e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.4000000000066 y[1] (closed_form) = 0.2180470189660753 y[1] (numeric) = 0.2180470189601103 absolute error = 5.96495075555481e-12 relative error = 2.735625914006586e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.41000000000661 y[1] (closed_form) = 0.2281284227656499 y[1] (numeric) = 0.228128422759674 absolute error = 5.975941963498599e-12 relative error = 2.6195516941953e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.42000000000662 y[1] (closed_form) = 0.23821347486885 y[1] (numeric) = 0.2382134748628575 absolute error = 5.992567553292361e-12 relative error = 2.515629124923184e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.43000000000664 y[1] (closed_form) = 0.2483021739451345 y[1] (numeric) = 0.2483021739391342 absolute error = 6.000366870040352e-12 relative error = 2.416558330804711e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.44000000000665 y[1] (closed_form) = 0.2583945186649608 y[1] (numeric) = 0.2583945186589477 absolute error = 6.01307892367231e-12 relative error = 2.327092290788483e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.45000000000666 y[1] (closed_form) = 0.2684905076997346 y[1] (numeric) = 0.2684905076937106 absolute error = 6.023959109313637e-12 relative error = 2.243639509241239e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.46000000000667 y[1] (closed_form) = 0.278590139721846 y[1] (numeric) = 0.2785901397158038 absolute error = 6.042222278068721e-12 relative error = 2.168857190746767e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.47000000000669 y[1] (closed_form) = 0.2886934134046264 y[1] (numeric) = 0.2886934133985746 absolute error = 6.051770196080497e-12 relative error = 2.096261956485466e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.4800000000067 y[1] (closed_form) = 0.2988003274223985 y[1] (numeric) = 0.2988003274163367 absolute error = 6.061762203302123e-12 relative error = 2.028699986908959e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.49000000000671 y[1] (closed_form) = 0.3089108804504441 y[1] (numeric) = 0.3089108804443684 absolute error = 6.075695502261169e-12 relative error = 1.966811752762409e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.50000000000672 y[1] (closed_form) = 0.3190250711649973 y[1] (numeric) = 0.3190250711589118 absolute error = 6.085576487180333e-12 relative error = 1.907554307552499e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.51000000000673 y[1] (closed_form) = 0.3291428982432691 y[1] (numeric) = 0.3291428982371716 absolute error = 6.097511384695053e-12 relative error = 1.852542290062838e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.52000000000675 y[1] (closed_form) = 0.3392643603634262 y[1] (numeric) = 0.3392643603573144 absolute error = 6.111777750561487e-12 relative error = 1.801479455140657e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.53000000000676 y[1] (closed_form) = 0.3493894562045909 y[1] (numeric) = 0.3493894561984675 absolute error = 6.123435092320051e-12 relative error = 1.752610155680934e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.54000000000677 y[1] (closed_form) = 0.3595181844468556 y[1] (numeric) = 0.3595181844407176 absolute error = 6.13797901394264e-12 relative error = 1.707279152899139e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.55000000000678 y[1] (closed_form) = 0.3696505437712609 y[1] (numeric) = 0.3696505437651098 absolute error = 6.151135156784449e-12 relative error = 1.664040608199608e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.5600000000068 y[1] (closed_form) = 0.3797865328598071 y[1] (numeric) = 0.3797865328536471 absolute error = 6.16001694098145e-12 relative error = 1.621968239525579e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.57000000000681 y[1] (closed_form) = 0.3899261503954641 y[1] (numeric) = 0.3899261503892887 absolute error = 6.175393529872508e-12 relative error = 1.583734131093647e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.58000000000682 y[1] (closed_form) = 0.4000693950621361 y[1] (numeric) = 0.4000693950559492 absolute error = 6.186884338177379e-12 relative error = 1.546452794075006e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.59000000000683 y[1] (closed_form) = 0.4102162655446975 y[1] (numeric) = 0.4102162655384978 absolute error = 6.199651902960568e-12 relative error = 1.511313037460493e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.60000000000684 y[1] (closed_form) = 0.4203667605289674 y[1] (numeric) = 0.4203667605227567 absolute error = 6.210643110904357e-12 relative error = 1.477434396356461e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.61000000000686 y[1] (closed_form) = 0.4305208787017243 y[1] (numeric) = 0.4305208786955008 absolute error = 6.223466186838778e-12 relative error = 1.445566636769445e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.62000000000687 y[1] (closed_form) = 0.4406786187506917 y[1] (numeric) = 0.440678618744456 absolute error = 6.235734151260885e-12 relative error = 1.415029884803345e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.63000000000688 y[1] (closed_form) = 0.4508399793645452 y[1] (numeric) = 0.4508399793582983 absolute error = 6.2469474038096e-12 relative error = 1.385624099400992e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.64000000000689 y[1] (closed_form) = 0.4610049592329126 y[1] (numeric) = 0.4610049592266531 absolute error = 6.259492923987864e-12 relative error = 1.357792969169642e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.65000000000691 y[1] (closed_form) = 0.4711735570463702 y[1] (numeric) = 0.4711735570400942 absolute error = 6.275979735903547e-12 relative error = 1.331988954398369e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.66000000000692 y[1] (closed_form) = 0.4813457714964251 y[1] (numeric) = 0.4813457714901421 absolute error = 6.282974140958686e-12 relative error = 1.305293307433854e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.67000000000693 y[1] (closed_form) = 0.4915216012755614 y[1] (numeric) = 0.4915216012692638 absolute error = 6.297684596034969e-12 relative error = 1.281263037004207e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.68000000000694 y[1] (closed_form) = 0.5017010450771835 y[1] (numeric) = 0.501701045070871 absolute error = 6.312506073413715e-12 relative error = 1.25822063464958e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.69000000000695 y[1] (closed_form) = 0.5118841015956441 y[1] (numeric) = 0.5118841015893197 absolute error = 6.324385459777204e-12 relative error = 1.23551121046011e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.70000000000697 y[1] (closed_form) = 0.5220707695262483 y[1] (numeric) = 0.5220707695199094 absolute error = 6.338929381399794e-12 relative error = 1.214189675310119e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.71000000000698 y[1] (closed_form) = 0.5322610475652283 y[1] (numeric) = 0.5322610475588804 absolute error = 6.347922187899258e-12 relative error = 1.192633242078704e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.72000000000699 y[1] (closed_form) = 0.5424549344097755 y[1] (numeric) = 0.542454934403415 absolute error = 6.360578730379984e-12 relative error = 1.172554313161643e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.730000000007 y[1] (closed_form) = 0.5526524287580088 y[1] (numeric) = 0.5526524287516356 absolute error = 6.373235272860711e-12 relative error = 1.153208588476388e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.74000000000702 y[1] (closed_form) = 0.5628535293089847 y[1] (numeric) = 0.5628535293026028 absolute error = 6.381895012452787e-12 relative error = 1.133846494715568e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.75000000000703 y[1] (closed_form) = 0.5730582347627156 y[1] (numeric) = 0.5730582347563158 absolute error = 6.399769603149252e-12 relative error = 1.116774738574202e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.76000000000704 y[1] (closed_form) = 0.5832665438201232 y[1] (numeric) = 0.5832665438137106 absolute error = 6.412648190234904e-12 relative error = 1.099436999803736e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.77000000000705 y[1] (closed_form) = 0.5934784551830816 y[1] (numeric) = 0.5934784551766588 absolute error = 6.422862242061456e-12 relative error = 1.082240169962037e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.78000000000706 y[1] (closed_form) = 0.6036939675544062 y[1] (numeric) = 0.6036939675479668 absolute error = 6.43940456512837e-12 relative error = 1.066667038468964e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.79000000000708 y[1] (closed_form) = 0.6139130796378254 y[1] (numeric) = 0.6139130796313756 absolute error = 6.449729639257384e-12 relative error = 1.05059329295645e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.80000000000709 y[1] (closed_form) = 0.6241357901380162 y[1] (numeric) = 0.6241357901315588 absolute error = 6.457390178127298e-12 relative error = 1.034613024947562e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.8100000000071 y[1] (closed_form) = 0.6343620977605937 y[1] (numeric) = 0.634362097754122 absolute error = 6.471712055144963e-12 relative error = 1.020192107629256e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.82000000000711 y[1] (closed_form) = 0.6445920012120858 y[1] (numeric) = 0.644592001205601 absolute error = 6.484812686835539e-12 relative error = 1.006033688696346e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.83000000000713 y[1] (closed_form) = 0.6548254991999585 y[1] (numeric) = 0.6548254991934624 absolute error = 6.496025939384253e-12 relative error = 9.920239739168462e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.84000000000714 y[1] (closed_form) = 0.665062590432612 y[1] (numeric) = 0.6650625904261012 absolute error = 6.510791905611768e-12 relative error = 9.789743099783448e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.85000000000715 y[1] (closed_form) = 0.6753032736193632 y[1] (numeric) = 0.6753032736128401 absolute error = 6.523004358882645e-12 relative error = 9.659370261781607e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.86000000000716 y[1] (closed_form) = 0.6855475474704633 y[1] (numeric) = 0.685547547463929 absolute error = 6.534328633733821e-12 relative error = 9.531546947902037e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.87000000000717 y[1] (closed_form) = 0.6957954106970945 y[1] (numeric) = 0.6957954106905436 absolute error = 6.550870956800736e-12 relative error = 9.41493843748931e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.88000000000719 y[1] (closed_form) = 0.7060468620113447 y[1] (numeric) = 0.7060468620047847 absolute error = 6.559974785602662e-12 relative error = 9.291132272601556e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.8900000000072 y[1] (closed_form) = 0.7163019001262469 y[1] (numeric) = 0.7163019001196764 absolute error = 6.570521904336601e-12 relative error = 9.17283885911591e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.90000000000721 y[1] (closed_form) = 0.7265605237557509 y[1] (numeric) = 0.7265605237491664 absolute error = 6.584510714446878e-12 relative error = 9.062577031311992e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.91000000000722 y[1] (closed_form) = 0.7368227316147227 y[1] (numeric) = 0.7368227316081237 absolute error = 6.598943613767005e-12 relative error = 8.955944667051244e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.92000000000724 y[1] (closed_form) = 0.7470885224189523 y[1] (numeric) = 0.7470885224123388 absolute error = 6.613487535389595e-12 relative error = 8.85234793057212e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.93000000000725 y[1] (closed_form) = 0.7573578948851463 y[1] (numeric) = 0.7573578948785216 absolute error = 6.624700787938309e-12 relative error = 8.747120526079613e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.94000000000726 y[1] (closed_form) = 0.7676308477309384 y[1] (numeric) = 0.7676308477243009 absolute error = 6.637468352721498e-12 relative error = 8.646693097784407e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.95000000000727 y[1] (closed_form) = 0.7779073796748683 y[1] (numeric) = 0.7779073796682241 absolute error = 6.644240713171712e-12 relative error = 8.541171978531322e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.96000000000728 y[1] (closed_form) = 0.7881874894364138 y[1] (numeric) = 0.7881874894297548 absolute error = 6.659006679399226e-12 relative error = 8.448505931197522e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.9700000000073 y[1] (closed_form) = 0.7984711757359477 y[1] (numeric) = 0.798471175729273 absolute error = 6.674771846348904e-12 relative error = 8.359439951225281e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.98000000000731 y[1] (closed_form) = 0.8087584372947596 y[1] (numeric) = 0.8087584372880736 absolute error = 6.685985098897618e-12 relative error = 8.26697415517762e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 25.99000000000732 y[1] (closed_form) = 0.8190492728350627 y[1] (numeric) = 0.8190492728283657 absolute error = 6.696976306841407e-12 relative error = 8.176524330044818e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.00000000000733 y[1] (closed_form) = 0.8293436810799797 y[1] (numeric) = 0.8293436810732713 absolute error = 6.708411603995046e-12 relative error = 8.088819818653811e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.01000000000735 y[1] (closed_form) = 0.83964166075355 y[1] (numeric) = 0.8396416607468241 absolute error = 6.725842105481661e-12 relative error = 8.010372066871295e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.02000000000736 y[1] (closed_form) = 0.8499432105807045 y[1] (numeric) = 0.8499432105739693 absolute error = 6.735279001190975e-12 relative error = 7.924387085331556e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.03000000000737 y[1] (closed_form) = 0.860248329287316 y[1] (numeric) = 0.8602483292805622 absolute error = 6.753819725702215e-12 relative error = 7.851011732039637e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.04000000000738 y[1] (closed_form) = 0.8705570156001272 y[1] (numeric) = 0.870557015593367 absolute error = 6.760259019245041e-12 relative error = 7.765440859246638e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.05000000000739 y[1] (closed_form) = 0.8808692682468298 y[1] (numeric) = 0.8808692682400563 absolute error = 6.77347067323808e-12 relative error = 7.689530010189974e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.06000000000741 y[1] (closed_form) = 0.8911850859559962 y[1] (numeric) = 0.8911850859492098 absolute error = 6.786460282626194e-12 relative error = 7.61509633584834e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.07000000000742 y[1] (closed_form) = 0.9015044674571122 y[1] (numeric) = 0.9015044674503131 absolute error = 6.799116825106921e-12 relative error = 7.541966868212308e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.08000000000743 y[1] (closed_form) = 0.9118274114805729 y[1] (numeric) = 0.9118274114737576 absolute error = 6.815326081266448e-12 relative error = 7.474359725817098e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.09000000000744 y[1] (closed_form) = 0.9221539167576616 y[1] (numeric) = 0.9221539167508386 absolute error = 6.822986620136362e-12 relative error = 7.398967239792591e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.10000000000746 y[1] (closed_form) = 0.9324839820205959 y[1] (numeric) = 0.932483982013755 absolute error = 6.840861210832827e-12 relative error = 7.336170210676854e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.11000000000747 y[1] (closed_form) = 0.9428176060024605 y[1] (numeric) = 0.9428176059956078 absolute error = 6.852629574893854e-12 relative error = 7.268245237749591e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.12000000000748 y[1] (closed_form) = 0.9531547874372635 y[1] (numeric) = 0.9531547874303993 absolute error = 6.864175894349955e-12 relative error = 7.201533250234821e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.13000000000749 y[1] (closed_form) = 0.9634955250599084 y[1] (numeric) = 0.9634955250530324 absolute error = 6.876055280713445e-12 relative error = 7.136572098023915e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.1400000000075 y[1] (closed_form) = 0.9738398176061978 y[1] (numeric) = 0.9738398175993097 absolute error = 6.888045689379396e-12 relative error = 7.073078718747554e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.15000000000752 y[1] (closed_form) = 0.9841876638128326 y[1] (numeric) = 0.9841876638059318 absolute error = 6.900813254162586e-12 relative error = 7.011684364573527e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.16000000000753 y[1] (closed_form) = 0.994539062417406 y[1] (numeric) = 0.9945390624104971 absolute error = 6.908917882242349e-12 relative error = 6.946854219530586e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.17000000000754 y[1] (closed_form) = 1.004894012158427 y[1] (numeric) = 1.004894012151501 absolute error = 6.926681450636352e-12 relative error = 6.892947282826799e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.18000000000755 y[1] (closed_form) = 1.015252511775273 y[1] (numeric) = 1.015252511768333 absolute error = 6.940004126931854e-12 relative error = 6.835741893212896e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.19000000000757 y[1] (closed_form) = 1.025614560008233 y[1] (numeric) = 1.02561456000128 absolute error = 6.95310475862243e-12 relative error = 6.779452076583836e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.20000000000758 y[1] (closed_form) = 1.035980155598484 y[1] (numeric) = 1.035980155591519 absolute error = 6.964429033473607e-12 relative error = 6.722550616281129e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.21000000000759 y[1] (closed_form) = 1.046349297288103 y[1] (numeric) = 1.046349297281125 absolute error = 6.978195798978959e-12 relative error = 6.669088245258864e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.2200000000076 y[1] (closed_form) = 1.056721983820047 y[1] (numeric) = 1.056721983813058 absolute error = 6.98885394001536e-12 relative error = 6.61371112461451e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.23000000000761 y[1] (closed_form) = 1.067098213938177 y[1] (numeric) = 1.067098213931175 absolute error = 7.001732527101012e-12 relative error = 6.561469633859458e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.24000000000763 y[1] (closed_form) = 1.077477986387233 y[1] (numeric) = 1.07747798638022 absolute error = 7.013056801952189e-12 relative error = 6.508770379121023e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.25000000000764 y[1] (closed_form) = 1.087861299912856 y[1] (numeric) = 1.087861299905826 absolute error = 7.029266058111716e-12 relative error = 6.46154620876283e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.26000000000765 y[1] (closed_form) = 1.098248153261558 y[1] (numeric) = 1.098248153254515 absolute error = 7.042588734407218e-12 relative error = 6.412565970170096e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.27000000000766 y[1] (closed_form) = 1.108638545180749 y[1] (numeric) = 1.108638545173696 absolute error = 7.053468920048545e-12 relative error = 6.362280069288558e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.28000000000767 y[1] (closed_form) = 1.119032474418731 y[1] (numeric) = 1.119032474411663 absolute error = 7.068123863973597e-12 relative error = 6.316281274719088e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.29000000000769 y[1] (closed_form) = 1.129429939724673 y[1] (numeric) = 1.129429939717595 absolute error = 7.077893826590298e-12 relative error = 6.266784310955765e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.3000000000077 y[1] (closed_form) = 1.13983093984865 y[1] (numeric) = 1.139830939841558 absolute error = 7.091882636700575e-12 relative error = 6.221872374899959e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.31000000000771 y[1] (closed_form) = 1.150235473541606 y[1] (numeric) = 1.1502354735345 absolute error = 7.106315536020702e-12 relative error = 6.178139780492218e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.32000000000772 y[1] (closed_form) = 1.160643539555366 y[1] (numeric) = 1.16064353954825 absolute error = 7.116307543242328e-12 relative error = 6.131346361492292e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.33000000000774 y[1] (closed_form) = 1.171055136642654 y[1] (numeric) = 1.17105513663552 absolute error = 7.134071111636331e-12 relative error = 6.092002748981823e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.34000000000775 y[1] (closed_form) = 1.181470263557042 y[1] (numeric) = 1.181470263549901 absolute error = 7.141176538993932e-12 relative error = 6.044313394307577e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.35000000000776 y[1] (closed_form) = 1.191888919053017 y[1] (numeric) = 1.191888919045865 absolute error = 7.152056724635258e-12 relative error = 6.000606776609458e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.36000000000777 y[1] (closed_form) = 1.202311101885932 y[1] (numeric) = 1.202311101878764 absolute error = 7.168932114609561e-12 relative error = 5.962626564259824e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.37000000000778 y[1] (closed_form) = 1.212736810812004 y[1] (numeric) = 1.212736810804823 absolute error = 7.180478434065662e-12 relative error = 5.920887673276677e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.3800000000078 y[1] (closed_form) = 1.223166044588343 y[1] (numeric) = 1.223166044581151 absolute error = 7.192246798126689e-12 relative error = 5.880024899274607e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.39000000000781 y[1] (closed_form) = 1.233598801972931 y[1] (numeric) = 1.233598801965725 absolute error = 7.206235608236966e-12 relative error = 5.841636354308888e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.40000000000782 y[1] (closed_form) = 1.244035081724626 y[1] (numeric) = 1.244035081717403 absolute error = 7.222222819791568e-12 relative error = 5.805481634633074e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.41000000000783 y[1] (closed_form) = 1.254474882603148 y[1] (numeric) = 1.254474882595915 absolute error = 7.233103005432895e-12 relative error = 5.765841234241021e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.42000000000785 y[1] (closed_form) = 1.264918203369106 y[1] (numeric) = 1.264918203361863 absolute error = 7.243317057259446e-12 relative error = 5.726312608963087e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.43000000000786 y[1] (closed_form) = 1.275365042783978 y[1] (numeric) = 1.275365042776722 absolute error = 7.255751555135248e-12 relative error = 5.689156681993385e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.44000000000787 y[1] (closed_form) = 1.285815399610112 y[1] (numeric) = 1.285815399602839 absolute error = 7.2721828558997e-12 relative error = 5.655697433787767e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.45000000000788 y[1] (closed_form) = 1.296269272610715 y[1] (numeric) = 1.296269272603431 absolute error = 7.283507130750877e-12 relative error = 5.618822635579205e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.46000000000789 y[1] (closed_form) = 1.306726660549881 y[1] (numeric) = 1.306726660542584 absolute error = 7.296385717836529e-12 relative error = 5.583712292795919e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.47000000000791 y[1] (closed_form) = 1.317187562192558 y[1] (numeric) = 1.317187562185253 absolute error = 7.304601368218755e-12 relative error = 5.545604572867128e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.48000000000792 y[1] (closed_form) = 1.32765197630458 y[1] (numeric) = 1.32765197629726 absolute error = 7.319700401353657e-12 relative error = 5.513267431520342e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.49000000000793 y[1] (closed_form) = 1.338119901652629 y[1] (numeric) = 1.338119901645294 absolute error = 7.334799434488559e-12 relative error = 5.481421676360843e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.50000000000794 y[1] (closed_form) = 1.348591337004255 y[1] (numeric) = 1.34859133699691 absolute error = 7.344569397105261e-12 relative error = 5.446104535581849e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.51000000000796 y[1] (closed_form) = 1.359066281127891 y[1] (numeric) = 1.359066281120528 absolute error = 7.362777054709113e-12 relative error = 5.417526103729638e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.52000000000797 y[1] (closed_form) = 1.369544732792807 y[1] (numeric) = 1.369544732785432 absolute error = 7.37543359718984e-12 relative error = 5.385317777937553e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.53000000000798 y[1] (closed_form) = 1.380026690769157 y[1] (numeric) = 1.380026690761767 absolute error = 7.389422407300117e-12 relative error = 5.35455035524105e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.54000000000799 y[1] (closed_form) = 1.390512153827945 y[1] (numeric) = 1.390512153820544 absolute error = 7.401190771361144e-12 relative error = 5.322636519922808e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.550000000008 y[1] (closed_form) = 1.401001120741043 y[1] (numeric) = 1.401001120733633 absolute error = 7.41029460016307e-12 relative error = 5.289285276405405e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.56000000000802 y[1] (closed_form) = 1.411493590281189 y[1] (numeric) = 1.411493590273763 absolute error = 7.426503856322597e-12 relative error = 5.261450641687386e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.57000000000803 y[1] (closed_form) = 1.421989561221963 y[1] (numeric) = 1.421989561214525 absolute error = 7.438272220383624e-12 relative error = 5.230890875170468e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.58000000000804 y[1] (closed_form) = 1.432489032337816 y[1] (numeric) = 1.432489032330367 absolute error = 7.44915240602495e-12 relative error = 5.200146205564983e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.59000000000805 y[1] (closed_form) = 1.442992002404058 y[1] (numeric) = 1.442992002396596 absolute error = 7.461808948505677e-12 relative error = 5.17106743216465e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.60000000000807 y[1] (closed_form) = 1.453498470196845 y[1] (numeric) = 1.453498470189373 absolute error = 7.471578911122378e-12 relative error = 5.140410577873203e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.61000000000808 y[1] (closed_form) = 1.464008434493206 y[1] (numeric) = 1.464008434485719 absolute error = 7.486899988862206e-12 relative error = 5.11397326167314e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.62000000000809 y[1] (closed_form) = 1.474521894071007 y[1] (numeric) = 1.474521894063506 absolute error = 7.501110843577408e-12 relative error = 5.087147823127668e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.6300000000081 y[1] (closed_form) = 1.485038847708974 y[1] (numeric) = 1.485038847701461 absolute error = 7.513101252243359e-12 relative error = 5.059195093673209e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.64000000000811 y[1] (closed_form) = 1.495559294186695 y[1] (numeric) = 1.495559294179167 absolute error = 7.527756196168411e-12 relative error = 5.033405379130826e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.65000000000813 y[1] (closed_form) = 1.506083232284595 y[1] (numeric) = 1.506083232277055 absolute error = 7.540412738649138e-12 relative error = 5.006637466649833e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.66000000000814 y[1] (closed_form) = 1.516610660783961 y[1] (numeric) = 1.51661066077641 absolute error = 7.55107087968554e-12 relative error = 4.978911908599052e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.67000000000815 y[1] (closed_form) = 1.527141578466932 y[1] (numeric) = 1.527141578459367 absolute error = 7.564615600585967e-12 relative error = 4.953447478117871e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.68000000000816 y[1] (closed_form) = 1.537675984116486 y[1] (numeric) = 1.53767598410891 absolute error = 7.576161920042068e-12 relative error = 4.927021035836206e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.69000000000818 y[1] (closed_form) = 1.548213876516463 y[1] (numeric) = 1.548213876508872 absolute error = 7.591038908572045e-12 relative error = 4.903094477910348e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.70000000000819 y[1] (closed_form) = 1.55875525445154 y[1] (numeric) = 1.558755254443935 absolute error = 7.605249763287247e-12 relative error = 4.879053168589453e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.7100000000082 y[1] (closed_form) = 1.569300116707243 y[1] (numeric) = 1.569300116699626 absolute error = 7.617462216558124e-12 relative error = 4.854050627703599e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.72000000000821 y[1] (closed_form) = 1.579848462069947 y[1] (numeric) = 1.579848462062318 absolute error = 7.628564446804376e-12 relative error = 4.828668464068565e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.73000000000822 y[1] (closed_form) = 1.590400289326872 y[1] (numeric) = 1.590400289319231 absolute error = 7.641220989285102e-12 relative error = 4.804589788221935e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.74000000000824 y[1] (closed_form) = 1.600955597266086 y[1] (numeric) = 1.600955597258429 absolute error = 7.657208200839705e-12 relative error = 4.782898547539817e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.75000000000825 y[1] (closed_form) = 1.611514384676486 y[1] (numeric) = 1.611514384668817 absolute error = 7.669198609505656e-12 relative error = 4.759001025637919e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.76000000000826 y[1] (closed_form) = 1.622076650347825 y[1] (numeric) = 1.622076650340144 absolute error = 7.680966973566683e-12 relative error = 4.735267579321629e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.77000000000827 y[1] (closed_form) = 1.632642393070697 y[1] (numeric) = 1.632642393063002 absolute error = 7.694289649862185e-12 relative error = 4.712783205016903e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.78000000000829 y[1] (closed_form) = 1.643211611636531 y[1] (numeric) = 1.643211611628822 absolute error = 7.708500504577387e-12 relative error = 4.691118569263411e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.7900000000083 y[1] (closed_form) = 1.653784304837593 y[1] (numeric) = 1.653784304829875 absolute error = 7.718270467194088e-12 relative error = 4.667035746207572e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.80000000000831 y[1] (closed_form) = 1.664360471467003 y[1] (numeric) = 1.664360471459271 absolute error = 7.73114905427974e-12 relative error = 4.645116960429456e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.81000000000832 y[1] (closed_form) = 1.674940110318705 y[1] (numeric) = 1.67494011031096 absolute error = 7.744693775180167e-12 relative error = 4.623863102607603e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.82000000000833 y[1] (closed_form) = 1.685523220187484 y[1] (numeric) = 1.685523220179726 absolute error = 7.758016451475669e-12 relative error = 4.602734841358477e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.83000000000835 y[1] (closed_form) = 1.69610979986896 y[1] (numeric) = 1.696109799861192 absolute error = 7.76778641409237e-12 relative error = 4.579766247852882e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.84000000000836 y[1] (closed_form) = 1.706699848159602 y[1] (numeric) = 1.706699848151816 absolute error = 7.785772027091298e-12 relative error = 4.561887103632772e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.85000000000837 y[1] (closed_form) = 1.717293363856683 y[1] (numeric) = 1.717293363848889 absolute error = 7.794431766683374e-12 relative error = 4.538788730411619e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.86000000000838 y[1] (closed_form) = 1.727890345758347 y[1] (numeric) = 1.727890345750537 absolute error = 7.809752844423201e-12 relative error = 4.519819711704918e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.8700000000084 y[1] (closed_form) = 1.738490792663544 y[1] (numeric) = 1.738490792655719 absolute error = 7.824851877558103e-12 relative error = 4.500945251236929e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.88000000000841 y[1] (closed_form) = 1.749094703372062 y[1] (numeric) = 1.749094703364227 absolute error = 7.83484388477973e-12 relative error = 4.479370882362751e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.89000000000842 y[1] (closed_form) = 1.75970207668453 y[1] (numeric) = 1.759702076676683 absolute error = 7.846612248840756e-12 relative error = 4.459057219290568e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.90000000000843 y[1] (closed_form) = 1.770312911402403 y[1] (numeric) = 1.770312911394538 absolute error = 7.864819906444609e-12 relative error = 4.442615684373149e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.91000000000844 y[1] (closed_form) = 1.780927206327949 y[1] (numeric) = 1.780927206320075 absolute error = 7.87414577985146e-12 relative error = 4.421374299787903e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.92000000000846 y[1] (closed_form) = 1.791544960264289 y[1] (numeric) = 1.791544960256403 absolute error = 7.886358233122337e-12 relative error = 4.40198733944078e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.93000000000847 y[1] (closed_form) = 1.802166172015362 y[1] (numeric) = 1.802166172007462 absolute error = 7.900124998627689e-12 relative error = 4.383682881913704e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.94000000000848 y[1] (closed_form) = 1.812790840385933 y[1] (numeric) = 1.812790840378015 absolute error = 7.918110611626616e-12 relative error = 4.367911860113379e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.95000000000849 y[1] (closed_form) = 1.823418964181577 y[1] (numeric) = 1.823418964173654 absolute error = 7.923439682144817e-12 relative error = 4.34537527457447e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.96000000000851 y[1] (closed_form) = 1.834050542208736 y[1] (numeric) = 1.834050542200796 absolute error = 7.940537116724045e-12 relative error = 4.329508339045718e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.97000000000852 y[1] (closed_form) = 1.844685573274631 y[1] (numeric) = 1.84468557326668 absolute error = 7.951195257760446e-12 relative error = 4.310325495550832e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.98000000000853 y[1] (closed_form) = 1.855324056187335 y[1] (numeric) = 1.855324056179371 absolute error = 7.964073844846098e-12 relative error = 4.292551383833268e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 26.99000000000854 y[1] (closed_form) = 1.865965989755736 y[1] (numeric) = 1.865965989747755 absolute error = 7.980727190215475e-12 relative error = 4.276994990278569e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.00000000000855 y[1] (closed_form) = 1.876611372789529 y[1] (numeric) = 1.876611372781541 absolute error = 7.988942840597701e-12 relative error = 4.257110958846191e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.01000000000857 y[1] (closed_form) = 1.88726020409926 y[1] (numeric) = 1.887260204091256 absolute error = 8.003375739917828e-12 relative error = 4.240737828590855e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.02000000000858 y[1] (closed_form) = 1.897912482496267 y[1] (numeric) = 1.897912482488251 absolute error = 8.01536614858378e-12 relative error = 4.223253823612252e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.03000000000859 y[1] (closed_form) = 1.908568206792729 y[1] (numeric) = 1.908568206784695 absolute error = 8.034684029212258e-12 relative error = 4.209796642643552e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.0400000000086 y[1] (closed_form) = 1.919227375801619 y[1] (numeric) = 1.919227375793572 absolute error = 8.046008304063434e-12 relative error = 4.192316348500811e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.05000000000862 y[1] (closed_form) = 1.929889988336743 y[1] (numeric) = 1.929889988328689 absolute error = 8.054445999050586e-12 relative error = 4.173525976987025e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.06000000000863 y[1] (closed_form) = 1.940556043212737 y[1] (numeric) = 1.940556043204665 absolute error = 8.072209567444588e-12 relative error = 4.159740501016623e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.07000000000864 y[1] (closed_form) = 1.951225539245023 y[1] (numeric) = 1.951225539236938 absolute error = 8.08508815453024e-12 relative error = 4.143594880199528e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.08000000000865 y[1] (closed_form) = 1.961898475249853 y[1] (numeric) = 1.961898475241759 absolute error = 8.094636072542016e-12 relative error = 4.125919956949424e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.09000000000866 y[1] (closed_form) = 1.972574850044303 y[1] (numeric) = 1.972574850036193 absolute error = 8.110179194886769e-12 relative error = 4.11146841637194e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.10000000000868 y[1] (closed_form) = 1.983254662446246 y[1] (numeric) = 1.98325466243812 absolute error = 8.125500272626596e-12 relative error = 4.097053407455095e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.11000000000869 y[1] (closed_form) = 1.993937911274372 y[1] (numeric) = 1.993937911266233 absolute error = 8.139267038131948e-12 relative error = 4.082006261132751e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.1200000000087 y[1] (closed_form) = 2.004624595348179 y[1] (numeric) = 2.004624595340033 absolute error = 8.146816554699399e-12 relative error = 4.064011073995824e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.13000000000871 y[1] (closed_form) = 2.015314713487999 y[1] (numeric) = 2.015314713479835 absolute error = 8.164580123093401e-12 relative error = 4.051268056770439e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.14000000000873 y[1] (closed_form) = 2.026008264514935 y[1] (numeric) = 2.026008264506762 absolute error = 8.173461907290402e-12 relative error = 4.034268788754069e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.15000000000874 y[1] (closed_form) = 2.036705247250936 y[1] (numeric) = 2.036705247242748 absolute error = 8.188116851215455e-12 relative error = 4.020275816673744e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.16000000000875 y[1] (closed_form) = 2.047405660518731 y[1] (numeric) = 2.047405660510532 absolute error = 8.198330903042006e-12 relative error = 4.004253314882834e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.17000000000876 y[1] (closed_form) = 2.058109503141878 y[1] (numeric) = 2.058109503133666 absolute error = 8.212541757757208e-12 relative error = 3.990332752081494e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.18000000000877 y[1] (closed_form) = 2.068816773944729 y[1] (numeric) = 2.068816773936503 absolute error = 8.22586443405271e-12 relative error = 3.976120330060933e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.19000000000879 y[1] (closed_form) = 2.079527471752442 y[1] (numeric) = 2.079527471744205 absolute error = 8.237410753508811e-12 relative error = 3.961193523722507e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.2000000000088 y[1] (closed_form) = 2.090241595390989 y[1] (numeric) = 2.090241595382738 absolute error = 8.251177519014163e-12 relative error = 3.947475515370148e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.21000000000881 y[1] (closed_form) = 2.100959143687135 y[1] (numeric) = 2.100959143678872 absolute error = 8.262723838470265e-12 relative error = 3.932834135922023e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.22000000000882 y[1] (closed_form) = 2.111680115468459 y[1] (numeric) = 2.111680115460182 absolute error = 8.277822871605167e-12 relative error = 3.920017435864711e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.23000000000884 y[1] (closed_form) = 2.122404509563331 y[1] (numeric) = 2.122404509555041 absolute error = 8.290257369480969e-12 relative error = 3.906068486061889e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.24000000000885 y[1] (closed_form) = 2.133132324800933 y[1] (numeric) = 2.133132324792629 absolute error = 8.303580045776471e-12 relative error = 3.89266992452115e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.25000000000886 y[1] (closed_form) = 2.143863560011237 y[1] (numeric) = 2.143863560002924 absolute error = 8.313350008393172e-12 relative error = 3.877742111699309e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.26000000000887 y[1] (closed_form) = 2.154598214025032 y[1] (numeric) = 2.154598214016704 absolute error = 8.328449041528074e-12 relative error = 3.865430216787191e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.27000000000888 y[1] (closed_form) = 2.165336285673892 y[1] (numeric) = 2.165336285665547 absolute error = 8.344880342292527e-12 relative error = 3.853849583320241e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.2800000000089 y[1] (closed_form) = 2.176077773790187 y[1] (numeric) = 2.17607777378183 absolute error = 8.357314840168328e-12 relative error = 3.840540508628955e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.29000000000891 y[1] (closed_form) = 2.186822677207097 y[1] (numeric) = 2.186822677198724 absolute error = 8.372413873303231e-12 relative error = 3.828574653339551e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.30000000000892 y[1] (closed_form) = 2.197570994758589 y[1] (numeric) = 2.197570994750203 absolute error = 8.386180638808582e-12 relative error = 3.816113635832655e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.31000000000893 y[1] (closed_form) = 2.208322725279427 y[1] (numeric) = 2.208322725271031 absolute error = 8.395950601425284e-12 relative error = 3.801958158250133e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.32000000000895 y[1] (closed_form) = 2.219077867605179 y[1] (numeric) = 2.21907786759677 absolute error = 8.409273277720786e-12 relative error = 3.789535013837096e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.33000000000896 y[1] (closed_form) = 2.229836420572198 y[1] (numeric) = 2.229836420563775 absolute error = 8.423040043226138e-12 relative error = 3.777425090700018e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.34000000000897 y[1] (closed_form) = 2.240598383017634 y[1] (numeric) = 2.240598383009197 absolute error = 8.43725089794134e-12 relative error = 3.765623934164437e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.35000000000898 y[1] (closed_form) = 2.25136375377943 y[1] (numeric) = 2.251363753770976 absolute error = 8.453238109495942e-12 relative error = 3.754718932160672e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.36000000000899 y[1] (closed_form) = 2.262132531696313 y[1] (numeric) = 2.262132531687847 absolute error = 8.465672607371744e-12 relative error = 3.742341568742465e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.37000000000901 y[1] (closed_form) = 2.272904715607812 y[1] (numeric) = 2.272904715599334 absolute error = 8.477218926827845e-12 relative error = 3.7296851331319e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.38000000000902 y[1] (closed_form) = 2.283680304354242 y[1] (numeric) = 2.283680304345753 absolute error = 8.488321157074097e-12 relative error = 3.716948095094399e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.39000000000903 y[1] (closed_form) = 2.294459296776711 y[1] (numeric) = 2.294459296768208 absolute error = 8.503420190208999e-12 relative error = 3.706067134054077e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.40000000000904 y[1] (closed_form) = 2.305241691717104 y[1] (numeric) = 2.305241691708591 absolute error = 8.512301974406e-12 relative error = 3.692585469450471e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.41000000000906 y[1] (closed_form) = 2.316027488018115 y[1] (numeric) = 2.316027488009584 absolute error = 8.530509632009853e-12 relative error = 3.68325059876972e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.42000000000907 y[1] (closed_form) = 2.326816684523198 y[1] (numeric) = 2.326816684514655 absolute error = 8.542944129885655e-12 relative error = 3.671515760871484e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.43000000000908 y[1] (closed_form) = 2.337609280076617 y[1] (numeric) = 2.337609280068058 absolute error = 8.558931341440257e-12 relative error = 3.661403731747562e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.44000000000909 y[1] (closed_form) = 2.348405273523397 y[1] (numeric) = 2.348405273514832 absolute error = 8.565592679588008e-12 relative error = 3.647408211929596e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.4500000000091 y[1] (closed_form) = 2.359204663709384 y[1] (numeric) = 2.359204663700802 absolute error = 8.58246806956231e-12 relative error = 3.637864998142243e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.46000000000912 y[1] (closed_form) = 2.370007449481172 y[1] (numeric) = 2.370007449472575 absolute error = 8.596234835067662e-12 relative error = 3.627091905111733e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.47000000000913 y[1] (closed_form) = 2.380813629686152 y[1] (numeric) = 2.380813629677544 absolute error = 8.607781154523764e-12 relative error = 3.615478778848588e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.48000000000914 y[1] (closed_form) = 2.391623203172504 y[1] (numeric) = 2.391623203163881 absolute error = 8.622880187658666e-12 relative error = 3.605450965779375e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.49000000000915 y[1] (closed_form) = 2.402436168789173 y[1] (numeric) = 2.40243616878054 absolute error = 8.632206061065517e-12 relative error = 3.593105270895146e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.50000000000917 y[1] (closed_form) = 2.413252525385907 y[1] (numeric) = 2.413252525377258 absolute error = 8.64908145103982e-12 relative error = 3.583993535718658e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.51000000000918 y[1] (closed_form) = 2.424072271813213 y[1] (numeric) = 2.424072271804549 absolute error = 8.663292305755022e-12 relative error = 3.573858917694255e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.52000000000919 y[1] (closed_form) = 2.434895406922386 y[1] (numeric) = 2.434895406913708 absolute error = 8.678835428099774e-12 relative error = 3.56435656473207e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.5300000000092 y[1] (closed_form) = 2.445721929565497 y[1] (numeric) = 2.445721929556806 absolute error = 8.690825836765725e-12 relative error = 3.553480766437631e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.54000000000921 y[1] (closed_form) = 2.456551838595395 y[1] (numeric) = 2.456551838586695 absolute error = 8.700151710172577e-12 relative error = 3.541611283540893e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.55000000000923 y[1] (closed_form) = 2.467385132865722 y[1] (numeric) = 2.467385132857001 absolute error = 8.72102390303553e-12 relative error = 3.534520730821854e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.56000000000924 y[1] (closed_form) = 2.47822181123086 y[1] (numeric) = 2.478221811222126 absolute error = 8.733458400911331e-12 relative error = 3.524082614934972e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.57000000000925 y[1] (closed_form) = 2.489061872545989 y[1] (numeric) = 2.489061872537248 absolute error = 8.741007917478782e-12 relative error = 3.511768033527371e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.58000000000926 y[1] (closed_form) = 2.499905315667078 y[1] (numeric) = 2.499905315658319 absolute error = 8.759659664292485e-12 relative error = 3.503996575148305e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.59000000000928 y[1] (closed_form) = 2.510752139450837 y[1] (numeric) = 2.510752139442063 absolute error = 8.773426429797837e-12 relative error = 3.494341911311405e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.60000000000929 y[1] (closed_form) = 2.521602342754768 y[1] (numeric) = 2.521602342745981 absolute error = 8.786749106093339e-12 relative error = 3.484589523538475e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.6100000000093 y[1] (closed_form) = 2.532455924437137 y[1] (numeric) = 2.532455924428342 absolute error = 8.79518680108049e-12 relative error = 3.472987117450151e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.62000000000931 y[1] (closed_form) = 2.543312883356997 y[1] (numeric) = 2.543312883348186 absolute error = 8.811174012635092e-12 relative error = 3.46444752051307e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.63000000000932 y[1] (closed_form) = 2.554173218374146 y[1] (numeric) = 2.554173218365325 absolute error = 8.820943975251794e-12 relative error = 3.453541800452652e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.64000000000934 y[1] (closed_form) = 2.56503692834918 y[1] (numeric) = 2.565036928340342 absolute error = 8.837375276016246e-12 relative error = 3.445320875635054e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.65000000000935 y[1] (closed_form) = 2.575904012143432 y[1] (numeric) = 2.575904012134586 absolute error = 8.846257060213247e-12 relative error = 3.434233969321007e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.66000000000936 y[1] (closed_form) = 2.586774468619041 y[1] (numeric) = 2.586774468610176 absolute error = 8.86490880702695e-12 relative error = 3.427012642412354e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.67000000000937 y[1] (closed_form) = 2.597648296638873 y[1] (numeric) = 2.597648296629997 absolute error = 8.875566948063351e-12 relative error = 3.416770068352806e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.68000000000939 y[1] (closed_form) = 2.608525495066587 y[1] (numeric) = 2.608525495057701 absolute error = 8.885780999889903e-12 relative error = 3.406438241334144e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.6900000000094 y[1] (closed_form) = 2.619406062766608 y[1] (numeric) = 2.619406062757707 absolute error = 8.900880033024805e-12 relative error = 3.398052772170698e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.70000000000941 y[1] (closed_form) = 2.630289998604106 y[1] (numeric) = 2.630289998595195 absolute error = 8.910205906431656e-12 relative error = 3.387537462089846e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.71000000000942 y[1] (closed_form) = 2.64117730144504 y[1] (numeric) = 2.641177301436115 absolute error = 8.925749028776409e-12 relative error = 3.379458480084981e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.72000000000943 y[1] (closed_form) = 2.652067970156118 y[1] (numeric) = 2.652067970147175 absolute error = 8.942624418750711e-12 relative error = 3.371943901658105e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.73000000000945 y[1] (closed_form) = 2.662962003604804 y[1] (numeric) = 2.66296200359585 absolute error = 8.954170738206813e-12 relative error = 3.362485355061662e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.74000000000946 y[1] (closed_form) = 2.673859400659346 y[1] (numeric) = 2.673859400650373 absolute error = 8.973266574230365e-12 relative error = 3.355923116981263e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.75000000000947 y[1] (closed_form) = 2.684760160188723 y[1] (numeric) = 2.684760160179741 absolute error = 8.982148358427366e-12 relative error = 3.345605500118853e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.76000000000948 y[1] (closed_form) = 2.695664281062705 y[1] (numeric) = 2.695664281053711 absolute error = 8.993694677883468e-12 relative error = 3.336355621530849e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.7700000000095 y[1] (closed_form) = 2.706571762151803 y[1] (numeric) = 2.706571762142797 absolute error = 9.00612917575927e-12 relative error = 3.32750429960857e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.78000000000951 y[1] (closed_form) = 2.717482602327294 y[1] (numeric) = 2.717482602318276 absolute error = 9.018563673635072e-12 relative error = 3.31871993068564e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.79000000000952 y[1] (closed_form) = 2.728396800461212 y[1] (numeric) = 2.728396800452177 absolute error = 9.034550885189674e-12 relative error = 3.311303870339703e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.80000000000953 y[1] (closed_form) = 2.739314355426337 y[1] (numeric) = 2.739314355417295 absolute error = 9.042988580176825e-12 relative error = 3.301186868992772e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.81000000000954 y[1] (closed_form) = 2.750235266096233 y[1] (numeric) = 2.750235266087172 absolute error = 9.060752148570828e-12 relative error = 3.294537111158469e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.82000000000956 y[1] (closed_form) = 2.761159531345186 y[1] (numeric) = 2.761159531336113 absolute error = 9.072742557236779e-12 relative error = 3.28584511479375e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.83000000000957 y[1] (closed_form) = 2.772087150048257 y[1] (numeric) = 2.772087150039175 absolute error = 9.082068430643631e-12 relative error = 3.276256459139651e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.84000000000958 y[1] (closed_form) = 2.783018121081263 y[1] (numeric) = 2.783018121072169 absolute error = 9.094058839309582e-12 relative error = 3.267696595441623e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.85000000000959 y[1] (closed_form) = 2.793952443320769 y[1] (numeric) = 2.793952443311659 absolute error = 9.110490140074035e-12 relative error = 3.260789267137885e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.86000000000961 y[1] (closed_form) = 2.804890115644092 y[1] (numeric) = 2.804890115634964 absolute error = 9.128253708468037e-12 relative error = 3.254406886585609e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.87000000000962 y[1] (closed_form) = 2.81583113692929 y[1] (numeric) = 2.815831136920154 absolute error = 9.136691403455188e-12 relative error = 3.244758282422751e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.88000000000963 y[1] (closed_form) = 2.826775506055206 y[1] (numeric) = 2.826775506046049 absolute error = 9.157119507108291e-12 relative error = 3.239422263102578e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.89000000000964 y[1] (closed_form) = 2.837723221901385 y[1] (numeric) = 2.837723221892221 absolute error = 9.163780845256042e-12 relative error = 3.229272247036112e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.90000000000965 y[1] (closed_form) = 2.848674283348174 y[1] (numeric) = 2.84867428333899 absolute error = 9.183764859699295e-12 relative error = 3.223873263918824e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.91000000000967 y[1] (closed_form) = 2.859628689276619 y[1] (numeric) = 2.859628689267428 absolute error = 9.190870287056896e-12 relative error = 3.214008280698096e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.92000000000968 y[1] (closed_form) = 2.870586438568559 y[1] (numeric) = 2.870586438559351 absolute error = 9.207745677031198e-12 relative error = 3.207618329592164e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.93000000000969 y[1] (closed_form) = 2.881547530106545 y[1] (numeric) = 2.881547530097325 absolute error = 9.2192919964873e-12 relative error = 3.199423886006981e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.9400000000097 y[1] (closed_form) = 2.892511962773895 y[1] (numeric) = 2.892511962764664 absolute error = 9.230838315943402e-12 relative error = 3.191287861465265e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.95000000000972 y[1] (closed_form) = 2.903479735454667 y[1] (numeric) = 2.903479735445425 absolute error = 9.241940546189653e-12 relative error = 3.183056672769381e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.96000000000973 y[1] (closed_form) = 2.91445084703367 y[1] (numeric) = 2.914450847024411 absolute error = 9.258815936163955e-12 relative error = 3.176864672666408e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.97000000000974 y[1] (closed_form) = 2.92542529639644 y[1] (numeric) = 2.925425296387171 absolute error = 9.269474077200357e-12 relative error = 3.168590252028845e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.98000000000975 y[1] (closed_form) = 2.93640308242928 y[1] (numeric) = 2.936403082419996 absolute error = 9.283240842705709e-12 relative error = 3.161432740026177e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 27.99000000000976 y[1] (closed_form) = 2.947384204019222 y[1] (numeric) = 2.947384204009921 absolute error = 9.301004411099711e-12 relative error = 3.155681026727472e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.00000000000978 y[1] (closed_form) = 2.958368660054035 y[1] (numeric) = 2.958368660044723 absolute error = 9.311662552136113e-12 relative error = 3.147566656539025e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.01000000000979 y[1] (closed_form) = 2.969356449422243 y[1] (numeric) = 2.96935644941292 absolute error = 9.323208871592215e-12 relative error = 3.139807911376305e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.0200000000098 y[1] (closed_form) = 2.980347571013105 y[1] (numeric) = 2.980347571003771 absolute error = 9.334755191048316e-12 relative error = 3.132102873449477e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.03000000000981 y[1] (closed_form) = 2.991342023716626 y[1] (numeric) = 2.991342023707275 absolute error = 9.351630581022619e-12 relative error = 3.126232475885048e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.04000000000983 y[1] (closed_form) = 3.002339806423535 y[1] (numeric) = 3.00233980641417 absolute error = 9.36495325731812e-12 relative error = 3.11921829677031e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.05000000000984 y[1] (closed_form) = 3.013340918025314 y[1] (numeric) = 3.013340918015935 absolute error = 9.379164112033322e-12 relative error = 3.112546627541773e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.06000000000985 y[1] (closed_form) = 3.02434535741417 y[1] (numeric) = 3.024345357404782 absolute error = 9.387601807020474e-12 relative error = 3.10401118179404e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.07000000000986 y[1] (closed_form) = 3.03535312348307 y[1] (numeric) = 3.035353123473664 absolute error = 9.405809464624326e-12 relative error = 3.09875295623962e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.08000000000987 y[1] (closed_form) = 3.046364215125685 y[1] (numeric) = 3.046364215116268 absolute error = 9.416467605660728e-12 relative error = 3.091051148417009e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.09000000000989 y[1] (closed_form) = 3.057378631236453 y[1] (numeric) = 3.057378631227019 absolute error = 9.43378708484488e-12 relative error = 3.085580238071365e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.1000000000099 y[1] (closed_form) = 3.068396370710524 y[1] (numeric) = 3.068396370701076 absolute error = 9.447997939560082e-12 relative error = 3.079132158330733e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.11000000000991 y[1] (closed_form) = 3.079417432443783 y[1] (numeric) = 3.07941743243433 absolute error = 9.453771099288133e-12 relative error = 3.069986874688097e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.12000000000992 y[1] (closed_form) = 3.090441815332881 y[1] (numeric) = 3.090441815323406 absolute error = 9.474643292151086e-12 relative error = 3.065789249014075e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.13000000000994 y[1] (closed_form) = 3.101469518275145 y[1] (numeric) = 3.101469518265664 absolute error = 9.481304630298837e-12 relative error = 3.057036212811719e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.14000000000995 y[1] (closed_form) = 3.112500540168689 y[1] (numeric) = 3.112500540159194 absolute error = 9.495515485014039e-12 relative error = 3.050767497858621e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.15000000000996 y[1] (closed_form) = 3.123534879912327 y[1] (numeric) = 3.123534879902819 absolute error = 9.508394072099691e-12 relative error = 3.044113300366467e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.16000000000997 y[1] (closed_form) = 3.134572536405614 y[1] (numeric) = 3.134572536396091 absolute error = 9.523049016024743e-12 relative error = 3.038069435440387e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.17000000000998 y[1] (closed_form) = 3.145613508548827 y[1] (numeric) = 3.145613508539289 absolute error = 9.537703959949795e-12 relative error = 3.032064789278529e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.18000000001 y[1] (closed_form) = 3.156657795242978 y[1] (numeric) = 3.156657795233427 absolute error = 9.551026636245297e-12 relative error = 3.025676920266273e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.19000000001001 y[1] (closed_form) = 3.16770539538981 y[1] (numeric) = 3.167705395380243 absolute error = 9.566569758590049e-12 relative error = 3.020031399546489e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.20000000001002 y[1] (closed_form) = 3.178756307891781 y[1] (numeric) = 3.178756307882205 absolute error = 9.5767838104166e-12 relative error = 3.012745515169147e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.21000000001003 y[1] (closed_form) = 3.189810531652093 y[1] (numeric) = 3.189810531642505 absolute error = 9.587886040662852e-12 relative error = 3.005785436320889e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.22000000001005 y[1] (closed_form) = 3.200868065574667 y[1] (numeric) = 3.200868065565063 absolute error = 9.603873252217454e-12 relative error = 3.00039647229047e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.23000000001006 y[1] (closed_form) = 3.211928908564147 y[1] (numeric) = 3.211928908554525 absolute error = 9.622080909821307e-12 relative error = 2.995732839592249e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.24000000001007 y[1] (closed_form) = 3.222993059525891 y[1] (numeric) = 3.22299305951626 absolute error = 9.630962694018308e-12 relative error = 2.988204602412344e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.25000000001008 y[1] (closed_form) = 3.234060517366004 y[1] (numeric) = 3.234060517356362 absolute error = 9.641620835054709e-12 relative error = 2.981274092825998e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.26000000001009 y[1] (closed_form) = 3.245131280991309 y[1] (numeric) = 3.245131280981648 absolute error = 9.660716671078262e-12 relative error = 2.976987935023432e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.27000000001011 y[1] (closed_form) = 3.256205349309326 y[1] (numeric) = 3.256205349299659 absolute error = 9.666933920016163e-12 relative error = 2.968772814671107e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.28000000001012 y[1] (closed_form) = 3.267282721228341 y[1] (numeric) = 3.267282721218654 absolute error = 9.686917934459416e-12 relative error = 2.964823910560639e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.29000000001013 y[1] (closed_form) = 3.278363395657315 y[1] (numeric) = 3.278363395647616 absolute error = 9.699352432335218e-12 relative error = 2.958595879024109e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.30000000001014 y[1] (closed_form) = 3.289447371505958 y[1] (numeric) = 3.28944737149625 absolute error = 9.707790127322369e-12 relative error = 2.951191805472783e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.31000000001016 y[1] (closed_form) = 3.3005346476847 y[1] (numeric) = 3.300534647674977 absolute error = 9.722889160457271e-12 relative error = 2.94585277790609e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.32000000001017 y[1] (closed_form) = 3.311625223104677 y[1] (numeric) = 3.311625223094937 absolute error = 9.739764550431573e-12 relative error = 2.941082971128134e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.33000000001018 y[1] (closed_form) = 3.322719096677744 y[1] (numeric) = 3.322719096667992 absolute error = 9.752199048307375e-12 relative error = 2.935005567596194e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.34000000001019 y[1] (closed_form) = 3.333816267316486 y[1] (numeric) = 3.333816267306718 absolute error = 9.767742170652127e-12 relative error = 2.929898166978035e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.3500000000102 y[1] (closed_form) = 3.344916733934184 y[1] (numeric) = 3.34491673392441 absolute error = 9.774403508799878e-12 relative error = 2.922166465203317e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.36000000001022 y[1] (closed_form) = 3.356020495444874 y[1] (numeric) = 3.356020495435077 absolute error = 9.796607969292381e-12 relative error = 2.919114463868536e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.37000000001023 y[1] (closed_form) = 3.36712755076325 y[1] (numeric) = 3.367127550753445 absolute error = 9.804601575069682e-12 relative error = 2.911859270922839e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.38000000001024 y[1] (closed_form) = 3.378237898804777 y[1] (numeric) = 3.378237898794955 absolute error = 9.821476965043985e-12 relative error = 2.907278071955451e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.39000000001025 y[1] (closed_form) = 3.389351538485599 y[1] (numeric) = 3.389351538475761 absolute error = 9.837908265808437e-12 relative error = 2.902593063628958e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.40000000001027 y[1] (closed_form) = 3.400468468722579 y[1] (numeric) = 3.40046846871273 absolute error = 9.848566406844839e-12 relative error = 2.896238120550653e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.41000000001028 y[1] (closed_form) = 3.411588688433305 y[1] (numeric) = 3.411588688423443 absolute error = 9.861889083140341e-12 relative error = 2.890702831961021e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.42000000001029 y[1] (closed_form) = 3.422712196536061 y[1] (numeric) = 3.422712196526191 absolute error = 9.869882688917642e-12 relative error = 2.883643766164858e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.4300000000103 y[1] (closed_form) = 3.43383899194987 y[1] (numeric) = 3.433838991939977 absolute error = 9.892087149410145e-12 relative error = 2.880766154907288e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.44000000001031 y[1] (closed_form) = 3.444969073594415 y[1] (numeric) = 3.444969073584518 absolute error = 9.896972130718495e-12 relative error = 2.872876916828802e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.45000000001033 y[1] (closed_form) = 3.456102440390147 y[1] (numeric) = 3.456102440380233 absolute error = 9.913847520692798e-12 relative error = 2.868505112821152e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.46000000001034 y[1] (closed_form) = 3.467239091258186 y[1] (numeric) = 3.467239091248257 absolute error = 9.9289465538277e-12 relative error = 2.863646345837864e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.47000000001035 y[1] (closed_form) = 3.478379025120368 y[1] (numeric) = 3.478379025110431 absolute error = 9.937384248814851e-12 relative error = 2.856900923403818e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.48000000001036 y[1] (closed_form) = 3.489522240899255 y[1] (numeric) = 3.489522240889302 absolute error = 9.952927371159603e-12 relative error = 2.852232106305395e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.49000000001038 y[1] (closed_form) = 3.500668737518104 y[1] (numeric) = 3.500668737508128 absolute error = 9.976464099281657e-12 relative error = 2.849873794786635e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.50000000001039 y[1] (closed_form) = 3.511818513900856 y[1] (numeric) = 3.51181851389087 absolute error = 9.986234061898358e-12 relative error = 2.843607670034706e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.5100000000104 y[1] (closed_form) = 3.522971568972189 y[1] (numeric) = 3.522971568962195 absolute error = 9.993783578465809e-12 relative error = 2.836748291267491e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.52000000001041 y[1] (closed_form) = 3.534127901657484 y[1] (numeric) = 3.534127901647476 absolute error = 1.000888261160071e-11 relative error = 2.832065757129674e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.53000000001042 y[1] (closed_form) = 3.545287510882815 y[1] (numeric) = 3.545287510872789 absolute error = 1.002620209078486e-11 relative error = 2.828036389152605e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.54000000001044 y[1] (closed_form) = 3.556450395574956 y[1] (numeric) = 3.556450395564914 absolute error = 1.004130112391977e-11 relative error = 2.823405364071283e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.55000000001045 y[1] (closed_form) = 3.567616554661392 y[1] (numeric) = 3.567616554651336 absolute error = 1.005551197863497e-11 relative error = 2.818551776674709e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.56000000001046 y[1] (closed_form) = 3.578785987070304 y[1] (numeric) = 3.578785987060238 absolute error = 1.006617011967137e-11 relative error = 2.812733188304401e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.57000000001047 y[1] (closed_form) = 3.589958691730587 y[1] (numeric) = 3.589958691720508 absolute error = 1.007904870675702e-11 relative error = 2.807566763922368e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.58000000001049 y[1] (closed_form) = 3.601134667571827 y[1] (numeric) = 3.601134667561732 absolute error = 1.009503591831162e-11 relative error = 2.803293086819912e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.5900000000105 y[1] (closed_form) = 3.612313913524304 y[1] (numeric) = 3.612313913514198 absolute error = 1.010524997013817e-11 relative error = 2.797445131306191e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.60000000001051 y[1] (closed_form) = 3.623496428519012 y[1] (numeric) = 3.623496428508893 absolute error = 1.011901673564353e-11 relative error = 2.792611207230954e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.61000000001052 y[1] (closed_form) = 3.634682211487636 y[1] (numeric) = 3.634682211477502 absolute error = 1.013367167956858e-11 relative error = 2.78804888293686e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.62000000001053 y[1] (closed_form) = 3.645871261362558 y[1] (numeric) = 3.64587126135241 absolute error = 1.014788253428378e-11 relative error = 2.783390253470237e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.63000000001055 y[1] (closed_form) = 3.657063577076855 y[1] (numeric) = 3.657063577066696 absolute error = 1.015898476453003e-11 relative error = 2.777907616429863e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.64000000001056 y[1] (closed_form) = 3.668259157564314 y[1] (numeric) = 3.668259157554138 absolute error = 1.017674833292403e-11 relative error = 2.77427190822616e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.65000000001057 y[1] (closed_form) = 3.6794580017594 y[1] (numeric) = 3.67945800174921 absolute error = 1.019051509842939e-11 relative error = 2.769569619644145e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.66000000001058 y[1] (closed_form) = 3.690660108597278 y[1] (numeric) = 3.69066010858708 absolute error = 1.019806461499684e-11 relative error = 2.763208833899595e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.6700000000106 y[1] (closed_form) = 3.701865477013833 y[1] (numeric) = 3.701865477003612 absolute error = 1.022026907548934e-11 relative error = 2.760842915268137e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.68000000001061 y[1] (closed_form) = 3.713074105945587 y[1] (numeric) = 3.713074105935363 absolute error = 1.022382178916814e-11 relative error = 2.753465591434648e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.69000000001062 y[1] (closed_form) = 3.724285994329826 y[1] (numeric) = 3.724285994319585 absolute error = 1.024069717914244e-11 relative error = 2.749707512992763e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.70000000001063 y[1] (closed_form) = 3.735501141104471 y[1] (numeric) = 3.735501141094219 absolute error = 1.025224349859855e-11 relative error = 2.74454299740015e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.71000000001064 y[1] (closed_form) = 3.746719545208173 y[1] (numeric) = 3.746719545197901 absolute error = 1.027178342383195e-11 relative error = 2.741540512945234e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.72000000001066 y[1] (closed_form) = 3.757941205580238 y[1] (numeric) = 3.757941205569957 absolute error = 1.028066520802895e-11 relative error = 2.735717416963042e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.73000000001067 y[1] (closed_form) = 3.769166121160701 y[1] (numeric) = 3.769166121150404 absolute error = 1.02970965087934e-11 relative error = 2.731929604000168e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.74000000001068 y[1] (closed_form) = 3.780394290890264 y[1] (numeric) = 3.780394290879949 absolute error = 1.031530416639725e-11 relative error = 2.728631823208063e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.75000000001069 y[1] (closed_form) = 3.79162571371031 y[1] (numeric) = 3.791625713699986 absolute error = 1.032374186138441e-11 relative error = 2.722774514386882e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.76000000001071 y[1] (closed_form) = 3.802860388562941 y[1] (numeric) = 3.802860388552602 absolute error = 1.033928498372916e-11 relative error = 2.718817923167634e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.77000000001072 y[1] (closed_form) = 3.814098314390918 y[1] (numeric) = 3.814098314380567 absolute error = 1.035127539239511e-11 relative error = 2.713950857883989e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.78000000001073 y[1] (closed_form) = 3.825339490137708 y[1] (numeric) = 3.825339490127342 absolute error = 1.036593033632016e-11 relative error = 2.709806636259361e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.79000000001074 y[1] (closed_form) = 3.836583914747443 y[1] (numeric) = 3.836583914737071 absolute error = 1.037170349604821e-11 relative error = 2.703369384462158e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.80000000001075 y[1] (closed_form) = 3.847831587164983 y[1] (numeric) = 3.847831587154588 absolute error = 1.039479613496042e-11 relative error = 2.701468580286573e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.81000000001077 y[1] (closed_form) = 3.859082506335817 y[1] (numeric) = 3.859082506325408 absolute error = 1.040900698967562e-11 relative error = 2.697275057629936e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.82000000001078 y[1] (closed_form) = 3.870336671206154 y[1] (numeric) = 3.870336671195732 absolute error = 1.042144148755142e-11 relative error = 2.692644690339995e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.83000000001079 y[1] (closed_form) = 3.881594080722884 y[1] (numeric) = 3.881594080712448 absolute error = 1.043609643147647e-11 relative error = 2.688610971277274e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.8400000000108 y[1] (closed_form) = 3.892854733833566 y[1] (numeric) = 3.892854733823123 absolute error = 1.044364594804392e-11 relative error = 2.682773096379925e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.85000000001082 y[1] (closed_form) = 3.904118629486469 y[1] (numeric) = 3.904118629476006 absolute error = 1.046229769485763e-11 relative error = 2.67981039711229e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.86000000001083 y[1] (closed_form) = 3.915385766630514 y[1] (numeric) = 3.915385766620034 absolute error = 1.048050535246148e-11 relative error = 2.676749106507772e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.87000000001084 y[1] (closed_form) = 3.926656144215308 y[1] (numeric) = 3.926656144204817 absolute error = 1.049071940428803e-11 relative error = 2.671667449094773e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.88000000001085 y[1] (closed_form) = 3.937929761191157 y[1] (numeric) = 3.937929761180651 absolute error = 1.050537434821308e-11 relative error = 2.667740408106056e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.89000000001086 y[1] (closed_form) = 3.949206616509031 y[1] (numeric) = 3.949206616498512 absolute error = 1.051869702450858e-11 relative error = 2.663496252775644e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.90000000001088 y[1] (closed_form) = 3.960486709120588 y[1] (numeric) = 3.960486709110052 absolute error = 1.053601650369274e-11 relative error = 2.660283262516546e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.91000000001089 y[1] (closed_form) = 3.971770037978153 y[1] (numeric) = 3.971770037967602 absolute error = 1.055155962603749e-11 relative error = 2.656639111817462e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.9200000000109 y[1] (closed_form) = 3.983056602034729 y[1] (numeric) = 3.983056602024174 absolute error = 1.055511233971629e-11 relative error = 2.650003099208846e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.93000000001091 y[1] (closed_form) = 3.994346400244034 y[1] (numeric) = 3.994346400233455 absolute error = 1.057864906783834e-11 relative error = 2.648405523164451e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.94000000001093 y[1] (closed_form) = 4.005639431560397 y[1] (numeric) = 4.005639431549806 absolute error = 1.059063947650429e-11 relative error = 2.643932300311591e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.95000000001094 y[1] (closed_form) = 4.016935694938873 y[1] (numeric) = 4.01693569492827 absolute error = 1.06030739743801e-11 relative error = 2.639592659583625e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.96000000001095 y[1] (closed_form) = 4.028235189335177 y[1] (numeric) = 4.028235189324561 absolute error = 1.06163966506756e-11 relative error = 2.635495732419669e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.97000000001096 y[1] (closed_form) = 4.039537913705701 y[1] (numeric) = 4.039537913695069 absolute error = 1.06314956838105e-11 relative error = 2.631859363849272e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.98000000001097 y[1] (closed_form) = 4.050843867007501 y[1] (numeric) = 4.050843866996856 absolute error = 1.0644818360106e-11 relative error = 2.627802677561527e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 28.99000000001099 y[1] (closed_form) = 4.062153048198319 y[1] (numeric) = 4.06215304818766 absolute error = 1.06581410364015e-11 relative error = 2.623766487855177e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.000000000011 y[1] (closed_form) = 4.073465456236562 y[1] (numeric) = 4.073465456225891 absolute error = 1.06705755342773e-11 relative error = 2.619532594278031e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.01000000001101 y[1] (closed_form) = 4.084781090081322 y[1] (numeric) = 4.08478109007063 absolute error = 1.069189181635011e-11 relative error = 2.617494445984436e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.02000000001102 y[1] (closed_form) = 4.096099948692327 y[1] (numeric) = 4.096099948681628 absolute error = 1.069899724370771e-11 relative error = 2.611996137233747e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.03000000001104 y[1] (closed_form) = 4.107422031030019 y[1] (numeric) = 4.107422031019309 absolute error = 1.070965538474411e-11 relative error = 2.607391035992094e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.04000000001105 y[1] (closed_form) = 4.118747336055492 y[1] (numeric) = 4.118747336044769 absolute error = 1.072297806103961e-11 relative error = 2.603456144826054e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.05000000001106 y[1] (closed_form) = 4.130075862730514 y[1] (numeric) = 4.130075862719769 absolute error = 1.074518252153212e-11 relative error = 2.601691319642773e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.06000000001107 y[1] (closed_form) = 4.141407610017495 y[1] (numeric) = 4.141407610006742 absolute error = 1.075317612730942e-11 relative error = 2.596502720789657e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.07000000001108 y[1] (closed_form) = 4.152742576879554 y[1] (numeric) = 4.152742576868786 absolute error = 1.076738698202462e-11 relative error = 2.592837572444817e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.0800000000111 y[1] (closed_form) = 4.164080762280449 y[1] (numeric) = 4.164080762269669 absolute error = 1.077982147990042e-11 relative error = 2.588763786127164e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.09000000001111 y[1] (closed_form) = 4.175422165184621 y[1] (numeric) = 4.175422165173824 absolute error = 1.079669686987472e-11 relative error = 2.585773711673855e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.10000000001112 y[1] (closed_form) = 4.186766784557165 y[1] (numeric) = 4.186766784546354 absolute error = 1.081090772458992e-11 relative error = 2.582161434084606e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.11000000001113 y[1] (closed_form) = 4.198114619363842 y[1] (numeric) = 4.198114619353021 absolute error = 1.082156586562633e-11 relative error = 2.57772044043575e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.12000000001115 y[1] (closed_form) = 4.209465668571092 y[1] (numeric) = 4.209465668560257 absolute error = 1.083488854192183e-11 relative error = 2.573934412345437e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.13000000001116 y[1] (closed_form) = 4.220819931146011 y[1] (numeric) = 4.220819931135157 absolute error = 1.085354028873553e-11 relative error = 2.571429358700134e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.14000000001117 y[1] (closed_form) = 4.232177406056351 y[1] (numeric) = 4.232177406045482 absolute error = 1.086952750029013e-11 relative error = 2.568306206808714e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.15000000001118 y[1] (closed_form) = 4.243538092270533 y[1] (numeric) = 4.243538092259652 absolute error = 1.088196199816593e-11 relative error = 2.564360625862432e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.16000000001119 y[1] (closed_form) = 4.254901988757645 y[1] (numeric) = 4.25490198874675 absolute error = 1.089528467446144e-11 relative error = 2.560642925089483e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.17000000001121 y[1] (closed_form) = 4.266269094487427 y[1] (numeric) = 4.266269094476522 absolute error = 1.090505463707814e-11 relative error = 2.5561103614324e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.18000000001122 y[1] (closed_form) = 4.277639408430296 y[1] (numeric) = 4.277639408419375 absolute error = 1.092104184863274e-11 relative error = 2.55305340303106e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.19000000001123 y[1] (closed_form) = 4.289012929557309 y[1] (numeric) = 4.289012929546375 absolute error = 1.093347634650854e-11 relative error = 2.549182417045556e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.20000000001124 y[1] (closed_form) = 4.300389656840196 y[1] (numeric) = 4.300389656829248 absolute error = 1.094768720122374e-11 relative error = 2.54574307791164e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.21000000001126 y[1] (closed_form) = 4.311769589251341 y[1] (numeric) = 4.311769589240383 absolute error = 1.095834534226015e-11 relative error = 2.541496041341777e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.22000000001127 y[1] (closed_form) = 4.323152725763791 y[1] (numeric) = 4.32315272575282 absolute error = 1.097077984013595e-11 relative error = 2.537680377275519e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.23000000001128 y[1] (closed_form) = 4.334539065351251 y[1] (numeric) = 4.334539065340264 absolute error = 1.098676705169055e-11 relative error = 2.534702510704038e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.24000000001129 y[1] (closed_form) = 4.345928606988082 y[1] (numeric) = 4.345928606977076 absolute error = 1.100630697692395e-11 relative error = 2.532555863717191e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.2500000000113 y[1] (closed_form) = 4.357321349649283 y[1] (numeric) = 4.35732134963827 absolute error = 1.101252422586185e-11 relative error = 2.52736104183554e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.26000000001132 y[1] (closed_form) = 4.368717292310549 y[1] (numeric) = 4.368717292299517 absolute error = 1.103206415109526e-11 relative error = 2.525241029103204e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.27000000001133 y[1] (closed_form) = 4.380116433948189 y[1] (numeric) = 4.380116433937147 absolute error = 1.104183411371196e-11 relative error = 2.520899679317193e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.28000000001134 y[1] (closed_form) = 4.391518773539204 y[1] (numeric) = 4.391518773528143 absolute error = 1.106048586052566e-11 relative error = 2.518601520542246e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.29000000001135 y[1] (closed_form) = 4.402924310061209 y[1] (numeric) = 4.40292431005014 absolute error = 1.106936764472266e-11 relative error = 2.51409446658618e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.30000000001137 y[1] (closed_form) = 4.414333042492508 y[1] (numeric) = 4.414333042481426 absolute error = 1.108269032101816e-11 relative error = 2.510614902486024e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.31000000001138 y[1] (closed_form) = 4.425744969812044 y[1] (numeric) = 4.425744969800944 absolute error = 1.109956571099247e-11 relative error = 2.507954205834831e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.32000000001139 y[1] (closed_form) = 4.437160090999399 y[1] (numeric) = 4.437160090988291 absolute error = 1.110755931676977e-11 relative error = 2.503303709798753e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.3300000000114 y[1] (closed_form) = 4.448578405034837 y[1] (numeric) = 4.448578405023713 absolute error = 1.112443470674407e-11 relative error = 2.500671831287405e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.34000000001141 y[1] (closed_form) = 4.459999910899242 y[1] (numeric) = 4.459999910888108 absolute error = 1.113420466936077e-11 relative error = 2.496458495918635e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.35000000001143 y[1] (closed_form) = 4.471424607574171 y[1] (numeric) = 4.471424607563023 absolute error = 1.114841552407597e-11 relative error = 2.493258078240122e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.36000000001144 y[1] (closed_form) = 4.482852494041815 y[1] (numeric) = 4.482852494030655 absolute error = 1.115996184353207e-11 relative error = 2.4894778176094e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.37000000001145 y[1] (closed_form) = 4.494283569285024 y[1] (numeric) = 4.494283569273851 absolute error = 1.117328451982758e-11 relative error = 2.486110265980632e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.38000000001146 y[1] (closed_form) = 4.505717832287296 y[1] (numeric) = 4.505717832276106 absolute error = 1.119015990980188e-11 relative error = 2.483546534941642e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.39000000001148 y[1] (closed_form) = 4.517155282032775 y[1] (numeric) = 4.517155282021563 absolute error = 1.121147619187468e-11 relative error = 2.481977149749295e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.40000000001149 y[1] (closed_form) = 4.52859591750623 y[1] (numeric) = 4.528595917495013 absolute error = 1.121769344081258e-11 relative error = 2.477079793639404e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.4100000000115 y[1] (closed_form) = 4.540039737693128 y[1] (numeric) = 4.540039737681893 absolute error = 1.123545700920658e-11 relative error = 2.474748605375756e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.42000000001151 y[1] (closed_form) = 4.551486741579538 y[1] (numeric) = 4.551486741568285 absolute error = 1.125322057760059e-11 relative error = 2.472427410322477e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.43000000001152 y[1] (closed_form) = 4.562936928152183 y[1] (numeric) = 4.562936928140918 absolute error = 1.126565507547639e-11 relative error = 2.46894823506547e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.44000000001154 y[1] (closed_form) = 4.574390296398441 y[1] (numeric) = 4.574390296387164 absolute error = 1.127720139493249e-11 relative error = 2.465290599232728e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.45000000001155 y[1] (closed_form) = 4.585846845306335 y[1] (numeric) = 4.585846845295043 absolute error = 1.129230042806739e-11 relative error = 2.462424238965849e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.46000000001156 y[1] (closed_form) = 4.597306573864522 y[1] (numeric) = 4.597306573853214 absolute error = 1.130739946120229e-11 relative error = 2.459570463602394e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.47000000001157 y[1] (closed_form) = 4.608769481062296 y[1] (numeric) = 4.608769481050982 absolute error = 1.13145048885599e-11 relative error = 2.454994751864214e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.48000000001159 y[1] (closed_form) = 4.620235565889622 y[1] (numeric) = 4.62023556587829 absolute error = 1.13322684569539e-11 relative error = 2.452746899014851e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.4900000000116 y[1] (closed_form) = 4.631704827337074 y[1] (numeric) = 4.631704827325729 absolute error = 1.13455911332494e-11 relative error = 2.449549692002365e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.50000000001161 y[1] (closed_form) = 4.643177264395888 y[1] (numeric) = 4.643177264384525 absolute error = 1.13624665232237e-11 relative error = 2.447131754015005e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.51000000001162 y[1] (closed_form) = 4.654652876057931 y[1] (numeric) = 4.65465287604655 absolute error = 1.13802300916177e-11 relative error = 2.444914882945198e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.52000000001163 y[1] (closed_form) = 4.666131661315703 y[1] (numeric) = 4.666131661304314 absolute error = 1.138911187581471e-11 relative error = 2.44080379690858e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.53000000001165 y[1] (closed_form) = 4.677613619162365 y[1] (numeric) = 4.677613619150962 absolute error = 1.140332273052991e-11 relative error = 2.437850506466572e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.54000000001166 y[1] (closed_form) = 4.689098748591697 y[1] (numeric) = 4.689098748580282 absolute error = 1.141486904998601e-11 relative error = 2.434341791887898e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.55000000001167 y[1] (closed_form) = 4.70058704859813 y[1] (numeric) = 4.700587048586701 absolute error = 1.142996808312091e-11 relative error = 2.431604385781921e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.56000000001168 y[1] (closed_form) = 4.712078518176718 y[1] (numeric) = 4.71207851816528 absolute error = 1.143707351047851e-11 relative error = 2.427182286195e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.5700000000117 y[1] (closed_form) = 4.723573156323177 y[1] (numeric) = 4.723573156311719 absolute error = 1.145750161413162e-11 relative error = 2.425600543265454e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.58000000001171 y[1] (closed_form) = 4.735070962033824 y[1] (numeric) = 4.735070962022355 absolute error = 1.146904793358772e-11 relative error = 2.422149113613599e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.59000000001172 y[1] (closed_form) = 4.746571934305642 y[1] (numeric) = 4.746571934294157 absolute error = 1.148503514514232e-11 relative error = 2.419648391323162e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.60000000001173 y[1] (closed_form) = 4.758076072136241 y[1] (numeric) = 4.758076072124735 absolute error = 1.150635142721512e-11 relative error = 2.418278155449729e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.61000000001174 y[1] (closed_form) = 4.76958337452384 y[1] (numeric) = 4.769583374512326 absolute error = 1.151434503299242e-11 relative error = 2.414119668081477e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.62000000001176 y[1] (closed_form) = 4.781093840467335 y[1] (numeric) = 4.781093840455807 absolute error = 1.152855588770763e-11 relative error = 2.411279985791023e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.63000000001177 y[1] (closed_form) = 4.792607468966231 y[1] (numeric) = 4.792607468954686 absolute error = 1.154543127768193e-11 relative error = 2.409008322180052e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.64000000001178 y[1] (closed_form) = 4.804124259020668 y[1] (numeric) = 4.804124259009103 absolute error = 1.156497120291533e-11 relative error = 2.407300598272385e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.65000000001179 y[1] (closed_form) = 4.815644209631408 y[1] (numeric) = 4.815644209619831 absolute error = 1.157740570079113e-11 relative error = 2.404123975279576e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.66000000001181 y[1] (closed_form) = 4.827167319799862 y[1] (numeric) = 4.827167319788272 absolute error = 1.159072837708663e-11 relative error = 2.40114493847029e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.67000000001182 y[1] (closed_form) = 4.838693588528066 y[1] (numeric) = 4.838693588516464 absolute error = 1.160227469654274e-11 relative error = 2.397811410098434e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.68000000001183 y[1] (closed_form) = 4.850223014818688 y[1] (numeric) = 4.850223014807071 absolute error = 1.161737372967764e-11 relative error = 2.395224651357999e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.69000000001184 y[1] (closed_form) = 4.861755597675014 y[1] (numeric) = 4.861755597663386 absolute error = 1.162803187071404e-11 relative error = 2.391735174074729e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.70000000001185 y[1] (closed_form) = 4.873291336100976 y[1] (numeric) = 4.873291336089334 absolute error = 1.164224272542924e-11 relative error = 2.388989683252544e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.71000000001187 y[1] (closed_form) = 4.884830229101127 y[1] (numeric) = 4.884830229089467 absolute error = 1.166000629382324e-11 relative error = 2.386982913829708e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.72000000001188 y[1] (closed_form) = 4.89637227568064 y[1] (numeric) = 4.896372275668965 absolute error = 1.167510532695815e-11 relative error = 2.38443988112305e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.73000000001189 y[1] (closed_form) = 4.90791747484532 y[1] (numeric) = 4.907917474833636 absolute error = 1.168398711115515e-11 relative error = 2.380640499975682e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.7400000000119 y[1] (closed_form) = 4.919465825601613 y[1] (numeric) = 4.919465825589911 absolute error = 1.170175067954915e-11 relative error = 2.378662865925716e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.75000000001192 y[1] (closed_form) = 4.931017326956564 y[1] (numeric) = 4.931017326944851 absolute error = 1.171240882058555e-11 relative error = 2.375252010686906e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.76000000001193 y[1] (closed_form) = 4.942571977917872 y[1] (numeric) = 4.942571977906144 absolute error = 1.172839603214015e-11 relative error = 2.372933785191107e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.77000000001194 y[1] (closed_form) = 4.95412977749384 y[1] (numeric) = 4.954129777482096 absolute error = 1.174349506527506e-11 relative error = 2.370445586351953e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.78000000001195 y[1] (closed_form) = 4.965690724693403 y[1] (numeric) = 4.965690724681648 absolute error = 1.175504138473116e-11 relative error = 2.367252017181749e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.79000000001196 y[1] (closed_form) = 4.97725481852612 y[1] (numeric) = 4.977254818514352 absolute error = 1.176836406102666e-11 relative error = 2.364428684105738e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.80000000001198 y[1] (closed_form) = 4.988822058002178 y[1] (numeric) = 4.988822057990391 absolute error = 1.178701580784036e-11 relative error = 2.362685153088139e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.81000000001199 y[1] (closed_form) = 5.000392442132366 y[1] (numeric) = 5.000392442120572 absolute error = 1.179412123519796e-11 relative error = 2.358639121166354e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.820000000012 y[1] (closed_form) = 5.011965969928127 y[1] (numeric) = 5.011965969916319 absolute error = 1.180833208991316e-11 relative error = 2.356027985976629e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.83000000001201 y[1] (closed_form) = 5.023542640401509 y[1] (numeric) = 5.023542640389677 absolute error = 1.183142472882537e-11 relative error = 2.355195441892325e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.84000000001203 y[1] (closed_form) = 5.035122452565155 y[1] (numeric) = 5.035122452553317 absolute error = 1.183764197776327e-11 relative error = 2.351013721966693e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.85000000001204 y[1] (closed_form) = 5.046705405432377 y[1] (numeric) = 5.046705405420527 absolute error = 1.185007647563907e-11 relative error = 2.348081673815041e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.86000000001205 y[1] (closed_form) = 5.058291498017084 y[1] (numeric) = 5.058291498005214 absolute error = 1.186961640087247e-11 relative error = 2.346566307126728e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.87000000001206 y[1] (closed_form) = 5.069880729333789 y[1] (numeric) = 5.069880729321905 absolute error = 1.188471543400738e-11 relative error = 2.344180478496008e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.88000000001207 y[1] (closed_form) = 5.081473098397638 y[1] (numeric) = 5.081473098385744 absolute error = 1.189359721820438e-11 relative error = 2.340580573368544e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.89000000001209 y[1] (closed_form) = 5.093068604224399 y[1] (numeric) = 5.093068604212497 absolute error = 1.190247900240138e-11 relative error = 2.336995616459786e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.9000000000121 y[1] (closed_form) = 5.104667245830463 y[1] (numeric) = 5.104667245818542 absolute error = 1.192113074921508e-11 relative error = 2.335339440382204e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.91000000001211 y[1] (closed_form) = 5.116269022232807 y[1] (numeric) = 5.116269022220878 absolute error = 1.192912435499238e-11 relative error = 2.331606157368628e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.92000000001212 y[1] (closed_form) = 5.127873932449063 y[1] (numeric) = 5.127873932437114 absolute error = 1.194866428022578e-11 relative error = 2.330140022478892e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.93000000001214 y[1] (closed_form) = 5.139481975497439 y[1] (numeric) = 5.139481975485483 absolute error = 1.195665788600309e-11 relative error = 2.32643249708952e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.94000000001215 y[1] (closed_form) = 5.151093150396797 y[1] (numeric) = 5.151093150384826 absolute error = 1.197086874071829e-11 relative error = 2.323947245993048e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.95000000001216 y[1] (closed_form) = 5.162707456166594 y[1] (numeric) = 5.162707456154601 absolute error = 1.199218502279109e-11 relative error = 2.322848064626833e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.96000000001217 y[1] (closed_form) = 5.174324891826885 y[1] (numeric) = 5.174324891814883 absolute error = 1.200195498540779e-11 relative error = 2.319520949363946e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.97000000001218 y[1] (closed_form) = 5.185945456398372 y[1] (numeric) = 5.185945456386353 absolute error = 1.201883037538209e-11 relative error = 2.317577474817706e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.9800000000122 y[1] (closed_form) = 5.197569148902346 y[1] (numeric) = 5.197569148890311 absolute error = 1.20348175869367e-11 relative error = 2.315470413602536e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = 29.99000000001221 y[1] (closed_form) = 5.209195968360717 y[1] (numeric) = 5.209195968348667 absolute error = 1.20499166200716e-11 relative error = 2.313200865020171e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 Finished! diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; 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 %