##############ECHO OF PROBLEM################# ##############temp/div_exp_exppostode.ode################# diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(-5.0); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=false; glob_h=c(0.001); glob_display_interval=c(0.01); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(c(-10.0) * (exp(c(0.1) * c(x))/exp(c(0.2)*c(x)))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = -16.48721270700128 y[1] (numeric) = -16.48721270700128 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.989999999999997 y[1] (closed_form) = -16.47073373515345 y[1] (numeric) = -16.47073373515345 absolute error = 3.552713678800501e-15 relative error = 2.156985678918452e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.979999999999993 y[1] (closed_form) = -16.45427123404072 y[1] (numeric) = -16.45427123404073 absolute error = 1.06581410364015e-14 relative error = 6.477431230349395e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.96999999999999 y[1] (closed_form) = -16.43782518720059 y[1] (numeric) = -16.43782518720061 absolute error = 1.4210854715202e-14 relative error = 8.645215868500273e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.959999999999987 y[1] (closed_form) = -16.42139557818703 y[1] (numeric) = -16.42139557818705 absolute error = 1.4210854715202e-14 relative error = 8.653865408417938e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.949999999999983 y[1] (closed_form) = -16.40498239057041 y[1] (numeric) = -16.40498239057044 absolute error = 2.486899575160351e-14 relative error = 1.515941630385304e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.93999999999998 y[1] (closed_form) = -16.38858560793755 y[1] (numeric) = -16.38858560793758 absolute error = 2.842170943040401e-14 relative error = 1.734238091701971e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.929999999999977 y[1] (closed_form) = -16.37220521389166 y[1] (numeric) = -16.37220521389169 absolute error = 2.842170943040401e-14 relative error = 1.735973197201832e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.919999999999973 y[1] (closed_form) = -16.35584119205236 y[1] (numeric) = -16.3558411920524 absolute error = 3.907985046680551e-14 relative error = 2.389351303178171e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.90999999999997 y[1] (closed_form) = -16.3394935260556 y[1] (numeric) = -16.33949352605566 absolute error = 5.684341886080801e-14 relative error = 3.478897235716839e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.899999999999967 y[1] (closed_form) = -16.32316219955374 y[1] (numeric) = -16.32316219955379 absolute error = 5.684341886080801e-14 relative error = 3.482377872981136e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.889999999999963 y[1] (closed_form) = -16.30684719621543 y[1] (numeric) = -16.30684719621549 absolute error = 6.039613253960852e-14 relative error = 3.703728367162571e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.87999999999996 y[1] (closed_form) = -16.29054849972568 y[1] (numeric) = -16.29054849972574 absolute error = 6.039613253960852e-14 relative error = 3.70743394801136e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.869999999999957 y[1] (closed_form) = -16.27426609378578 y[1] (numeric) = -16.27426609378585 absolute error = 6.750155989720952e-14 relative error = 4.147748322917279e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.859999999999953 y[1] (closed_form) = -16.25799996211334 y[1] (numeric) = -16.25799996211342 absolute error = 7.460698725481052e-14 relative error = 4.588940055890646e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.84999999999995 y[1] (closed_form) = -16.24175008844222 y[1] (numeric) = -16.24175008844229 absolute error = 7.460698725481052e-14 relative error = 4.59353129118158e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.839999999999947 y[1] (closed_form) = -16.22551645652252 y[1] (numeric) = -16.22551645652262 absolute error = 9.237055564881302e-14 relative error = 5.692919291433761e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.829999999999943 y[1] (closed_form) = -16.20929905012065 y[1] (numeric) = -16.20929905012074 absolute error = 8.881784197001252e-14 relative error = 5.479437555897978e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.81999999999994 y[1] (closed_form) = -16.19309785301918 y[1] (numeric) = -16.19309785301927 absolute error = 9.947598300641403e-14 relative error = 6.143110102176459e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.809999999999937 y[1] (closed_form) = -16.1769128490169 y[1] (numeric) = -16.17691284901701 absolute error = 1.06581410364015e-13 relative error = 6.588488876633354e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.799999999999933 y[1] (closed_form) = -16.16074402192882 y[1] (numeric) = -16.16074402192894 absolute error = 1.13686837721616e-13 relative error = 7.034752704909636e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.78999999999993 y[1] (closed_form) = -16.14459135558612 y[1] (numeric) = -16.14459135558624 absolute error = 1.20792265079217e-13 relative error = 7.48190291217388e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.779999999999927 y[1] (closed_form) = -16.12845483383612 y[1] (numeric) = -16.12845483383623 absolute error = 1.172395514004165e-13 relative error = 7.269112423247018e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.769999999999923 y[1] (closed_form) = -16.11233444054228 y[1] (numeric) = -16.11233444054241 absolute error = 1.27897692436818e-13 relative error = 7.937874732478148e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.75999999999992 y[1] (closed_form) = -16.09623015958424 y[1] (numeric) = -16.09623015958437 absolute error = 1.35003119794419e-13 relative error = 8.387250831775267e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.749999999999917 y[1] (closed_form) = -16.08014197485769 y[1] (numeric) = -16.08014197485784 absolute error = 1.456612608308205e-13 relative error = 9.058456141654161e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.739999999999913 y[1] (closed_form) = -16.06406987027447 y[1] (numeric) = -16.06406987027462 absolute error = 1.56319401867222e-13 relative error = 9.730996137938936e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.72999999999991 y[1] (closed_form) = -16.04801382976244 y[1] (numeric) = -16.04801382976261 absolute error = 1.63424829224823e-13 relative error = 1.018349254670615e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.719999999999906 y[1] (closed_form) = -16.03197383726559 y[1] (numeric) = -16.03197383726576 absolute error = 1.70530256582424e-13 relative error = 1.063688466020536e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.709999999999903 y[1] (closed_form) = -16.01594987674391 y[1] (numeric) = -16.01594987674409 absolute error = 1.77635683940025e-13 relative error = 1.109117381779287e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.6999999999999 y[1] (closed_form) = -15.99994193217345 y[1] (numeric) = -15.99994193217362 absolute error = 1.77635683940025e-13 relative error = 1.110227053904657e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.689999999999896 y[1] (closed_form) = -15.98394998754624 y[1] (numeric) = -15.98394998754643 absolute error = 1.865174681370263e-13 relative error = 1.166904728070032e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.679999999999893 y[1] (closed_form) = -15.96797402687035 y[1] (numeric) = -15.96797402687055 absolute error = 1.953992523340276e-13 relative error = 1.22369470294238e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.66999999999989 y[1] (closed_form) = -15.95201403416983 y[1] (numeric) = -15.95201403417003 absolute error = 2.007283228522283e-13 relative error = 1.258325891779311e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.659999999999886 y[1] (closed_form) = -15.93606999348467 y[1] (numeric) = -15.93606999348487 absolute error = 2.042810365310288e-13 relative error = 1.281878384159629e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.649999999999883 y[1] (closed_form) = -15.92014188887083 y[1] (numeric) = -15.92014188887104 absolute error = 2.113864638886298e-13 relative error = 1.327792587303522e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.63999999999988 y[1] (closed_form) = -15.9042297044002 y[1] (numeric) = -15.90422970440042 absolute error = 2.167155344068306e-13 relative error = 1.362628297218772e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.629999999999876 y[1] (closed_form) = -15.8883334241606 y[1] (numeric) = -15.88833342416082 absolute error = 2.220446049250313e-13 relative error = 1.397532384280022e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.619999999999873 y[1] (closed_form) = -15.87245303225576 y[1] (numeric) = -15.87245303225598 absolute error = 2.291500322826323e-13 relative error = 1.443696395364706e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.60999999999987 y[1] (closed_form) = -15.85658851280527 y[1] (numeric) = -15.8565885128055 absolute error = 2.309263891220326e-13 relative error = 1.456343455816766e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.599999999999866 y[1] (closed_form) = -15.84073984994461 y[1] (numeric) = -15.84073984994484 absolute error = 2.344791028008331e-13 relative error = 1.480228228113051e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.589999999999863 y[1] (closed_form) = -15.82490702782512 y[1] (numeric) = -15.82490702782536 absolute error = 2.415845301584341e-13 relative error = 1.526609475389986e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.57999999999986 y[1] (closed_form) = -15.80909003061398 y[1] (numeric) = -15.80909003061423 absolute error = 2.486899575160351e-13 relative error = 1.573082049848866e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.569999999999856 y[1] (closed_form) = -15.79328884249418 y[1] (numeric) = -15.79328884249444 absolute error = 2.540190280342358e-13 relative error = 1.608398545531315e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.559999999999853 y[1] (closed_form) = -15.77750344766455 y[1] (numeric) = -15.7775034476648 absolute error = 2.575717417130363e-13 relative error = 1.632525339432984e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.54999999999985 y[1] (closed_form) = -15.76173383033968 y[1] (numeric) = -15.76173383033994 absolute error = 2.611244553918368e-13 relative error = 1.656698801049411e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.539999999999846 y[1] (closed_form) = -15.74597997474995 y[1] (numeric) = -15.74597997475022 absolute error = 2.700062395888381e-13 relative error = 1.714763006315368e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.529999999999843 y[1] (closed_form) = -15.7302418651415 y[1] (numeric) = -15.73024186514178 absolute error = 2.788880237858393e-13 relative error = 1.772941739718956e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.51999999999984 y[1] (closed_form) = -15.71451948577624 y[1] (numeric) = -15.71451948577652 absolute error = 2.806643806252396e-13 relative error = 1.78601948904183e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.509999999999836 y[1] (closed_form) = -15.69881282093177 y[1] (numeric) = -15.69881282093205 absolute error = 2.842170943040401e-13 relative error = 1.810436862621125e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.499999999999833 y[1] (closed_form) = -15.68312185490143 y[1] (numeric) = -15.68312185490172 absolute error = 2.877698079828406e-13 relative error = 1.834901307566543e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.48999999999983 y[1] (closed_form) = -15.66744657199425 y[1] (numeric) = -15.66744657199454 absolute error = 2.930988785010413e-13 relative error = 1.870750777123818e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.479999999999826 y[1] (closed_form) = -15.65178695653495 y[1] (numeric) = -15.65178695653525 absolute error = 3.002043058586423e-13 relative error = 1.918019371796399e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.469999999999823 y[1] (closed_form) = -15.6361429928639 y[1] (numeric) = -15.63614299286421 absolute error = 3.055333763768431e-13 relative error = 1.954020096364454e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.45999999999982 y[1] (closed_form) = -15.62051466533716 y[1] (numeric) = -15.62051466533747 absolute error = 3.090860900556436e-13 relative error = 1.978718990236114e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.449999999999816 y[1] (closed_form) = -15.60490195832638 y[1] (numeric) = -15.6049019583267 absolute error = 3.179678742526448e-13 relative error = 2.037615328194902e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.439999999999813 y[1] (closed_form) = -15.58930485621886 y[1] (numeric) = -15.58930485621918 absolute error = 3.232969447708456e-13 relative error = 2.073838107296211e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.42999999999981 y[1] (closed_form) = -15.5737233434175 y[1] (numeric) = -15.57372334341783 absolute error = 3.304023721284466e-13 relative error = 2.121537443825833e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.419999999999806 y[1] (closed_form) = -15.55815740434077 y[1] (numeric) = -15.55815740434111 absolute error = 3.357314426466473e-13 relative error = 2.157912623720963e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.409999999999803 y[1] (closed_form) = -15.54260702342275 y[1] (numeric) = -15.54260702342309 absolute error = 3.428368700042483e-13 relative error = 2.205787417050384e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.3999999999998 y[1] (closed_form) = -15.52707218511305 y[1] (numeric) = -15.52707218511339 absolute error = 3.428368700042483e-13 relative error = 2.207994307728867e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.389999999999796 y[1] (closed_form) = -15.51155287387682 y[1] (numeric) = -15.51155287387717 absolute error = 3.499422973618493e-13 relative error = 2.256010730886854e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.379999999999793 y[1] (closed_form) = -15.49604907419477 y[1] (numeric) = -15.49604907419512 absolute error = 3.499422973618493e-13 relative error = 2.258267869999203e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.36999999999979 y[1] (closed_form) = -15.48056077056307 y[1] (numeric) = -15.48056077056343 absolute error = 3.517186542012496e-13 relative error = 2.272002025082045e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.359999999999786 y[1] (closed_form) = -15.46508794749344 y[1] (numeric) = -15.4650879474938 absolute error = 3.534950110406498e-13 relative error = 2.28576140168633e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.349999999999783 y[1] (closed_form) = -15.44963058951305 y[1] (numeric) = -15.44963058951341 absolute error = 3.588240815588506e-13 relative error = 2.32254149689776e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.33999999999978 y[1] (closed_form) = -15.43418868116453 y[1] (numeric) = -15.4341886811649 absolute error = 3.641531520770513e-13 relative error = 2.359392901043474e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.329999999999776 y[1] (closed_form) = -15.41876220700598 y[1] (numeric) = -15.41876220700635 absolute error = 3.712585794346523e-13 relative error = 2.407836468649603e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.319999999999773 y[1] (closed_form) = -15.40335115161092 y[1] (numeric) = -15.4033511516113 absolute error = 3.783640067922533e-13 relative error = 2.456374610096992e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.30999999999977 y[1] (closed_form) = -15.3879554995683 y[1] (numeric) = -15.38795549956868 absolute error = 3.836930773104541e-13 relative error = 2.493463652927892e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.299999999999766 y[1] (closed_form) = -15.37257523548245 y[1] (numeric) = -15.37257523548284 absolute error = 3.836930773104541e-13 relative error = 2.495958363728329e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.289999999999763 y[1] (closed_form) = -15.35721034397313 y[1] (numeric) = -15.35721034397352 absolute error = 3.872457909892546e-13 relative error = 2.521589418362219e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.27999999999976 y[1] (closed_form) = -15.34186080967543 y[1] (numeric) = -15.34186080967582 absolute error = 3.925748615074554e-13 relative error = 2.558847758935968e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.269999999999756 y[1] (closed_form) = -15.32652661723981 y[1] (numeric) = -15.32652661724021 absolute error = 3.979039320256561e-13 relative error = 2.59617812934915e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.259999999999753 y[1] (closed_form) = -15.31120775133209 y[1] (numeric) = -15.3112077513325 absolute error = 4.050093593832571e-13 relative error = 2.645182313250376e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.24999999999975 y[1] (closed_form) = -15.2959041966334 y[1] (numeric) = -15.29590419663381 absolute error = 4.103384299014579e-13 relative error = 2.682668671472017e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.239999999999746 y[1] (closed_form) = -15.28061593784018 y[1] (numeric) = -15.2806159378406 absolute error = 4.138911435802584e-13 relative error = 2.708602488694963e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.229999999999743 y[1] (closed_form) = -15.26534295966417 y[1] (numeric) = -15.26534295966459 absolute error = 4.192202140984591e-13 relative error = 2.746222048244644e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.21999999999974 y[1] (closed_form) = -15.2500852468324 y[1] (numeric) = -15.25008524683282 absolute error = 4.263256414560601e-13 relative error = 2.795562349689897e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.209999999999736 y[1] (closed_form) = -15.23484278408714 y[1] (numeric) = -15.23484278408757 absolute error = 4.334310688136611e-13 relative error = 2.84499863212492e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.199999999999733 y[1] (closed_form) = -15.21961555618593 y[1] (numeric) = -15.21961555618637 absolute error = 4.405364961712621e-13 relative error = 2.894531038218035e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.189999999999729 y[1] (closed_form) = -15.20440354790155 y[1] (numeric) = -15.20440354790199 absolute error = 4.440892098500626e-13 relative error = 2.92079336391564e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.179999999999726 y[1] (closed_form) = -15.18920674402198 y[1] (numeric) = -15.18920674402244 absolute error = 4.547473508864641e-13 relative error = 2.993884792999076e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.169999999999723 y[1] (closed_form) = -15.17402512935043 y[1] (numeric) = -15.17402512935088 absolute error = 4.583000645652646e-13 relative error = 3.02029330160259e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.159999999999719 y[1] (closed_form) = -15.15885868870527 y[1] (numeric) = -15.15885868870573 absolute error = 4.600764214046649e-13 relative error = 3.035033381157275e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.149999999999716 y[1] (closed_form) = -15.14370740692005 y[1] (numeric) = -15.14370740692052 absolute error = 4.707345624410664e-13 relative error = 3.108449930998799e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.139999999999713 y[1] (closed_form) = -15.12857126884351 y[1] (numeric) = -15.12857126884398 absolute error = 4.742872761198669e-13 relative error = 3.135043406885595e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.129999999999709 y[1] (closed_form) = -15.1134502593395 y[1] (numeric) = -15.11345025933997 absolute error = 4.778399897986674e-13 relative error = 3.161686984766313e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.119999999999706 y[1] (closed_form) = -15.098344363287 y[1] (numeric) = -15.09834436328749 absolute error = 4.813927034774679e-13 relative error = 3.188380738274972e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.109999999999703 y[1] (closed_form) = -15.08325356558013 y[1] (numeric) = -15.08325356558062 absolute error = 4.867217739956686e-13 relative error = 3.226901754846606e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.099999999999699 y[1] (closed_form) = -15.06817785112808 y[1] (numeric) = -15.06817785112857 absolute error = 4.920508445138694e-13 relative error = 3.265496660414264e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.089999999999696 y[1] (closed_form) = -15.05311720485514 y[1] (numeric) = -15.05311720485564 absolute error = 4.991562718714704e-13 relative error = 3.315966155571257e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.079999999999693 y[1] (closed_form) = -15.03807161170066 y[1] (numeric) = -15.03807161170116 absolute error = 5.044853423896711e-13 relative error = 3.354720973646293e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.069999999999689 y[1] (closed_form) = -15.02304105661904 y[1] (numeric) = -15.02304105661955 absolute error = 5.098144129078719e-13 relative error = 3.393550020841164e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.059999999999686 y[1] (closed_form) = -15.00802552457973 y[1] (numeric) = -15.00802552458025 absolute error = 5.186961971048731e-13 relative error = 3.456125499356107e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.049999999999683 y[1] (closed_form) = -14.99302500056719 y[1] (numeric) = -14.99302500056771 absolute error = 5.204725539442734e-13 relative error = 3.471431241691278e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.039999999999679 y[1] (closed_form) = -14.97803946958091 y[1] (numeric) = -14.97803946958144 absolute error = 5.258016244624741e-13 relative error = 3.510483635260351e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.029999999999676 y[1] (closed_form) = -14.96306891663534 y[1] (numeric) = -14.96306891663587 absolute error = 5.346834086594754e-13 relative error = 3.573353913147027e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.019999999999673 y[1] (closed_form) = -14.94811332675994 y[1] (numeric) = -14.94811332676048 absolute error = 5.400124791776761e-13 relative error = 3.612579510023865e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.009999999999669 y[1] (closed_form) = -14.93317268499911 y[1] (numeric) = -14.93317268499965 absolute error = 5.400124791776761e-13 relative error = 3.616193896425892e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.999999999999666 y[1] (closed_form) = -14.91824697641221 y[1] (numeric) = -14.91824697641275 absolute error = 5.435651928564766e-13 relative error = 3.643626450989367e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.989999999999668 y[1] (closed_form) = -14.90333618607353 y[1] (numeric) = -14.90333618607407 absolute error = 5.417888360170764e-13 relative error = 3.635352710645772e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.979999999999669 y[1] (closed_form) = -14.88844029907228 y[1] (numeric) = -14.88844029907282 absolute error = 5.417888360170764e-13 relative error = 3.638989881638817e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.96999999999967 y[1] (closed_form) = -14.87355930051258 y[1] (numeric) = -14.87355930051312 absolute error = 5.364597654988756e-13 relative error = 3.606801537278222e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.959999999999671 y[1] (closed_form) = -14.85869317551341 y[1] (numeric) = -14.85869317551395 absolute error = 5.382361223382759e-13 relative error = 3.622365143290459e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.949999999999672 y[1] (closed_form) = -14.84384190920865 y[1] (numeric) = -14.84384190920919 absolute error = 5.346834086594754e-13 relative error = 3.602055397314455e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.939999999999673 y[1] (closed_form) = -14.82900548674704 y[1] (numeric) = -14.82900548674758 absolute error = 5.364597654988756e-13 relative error = 3.617638188739761e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.929999999999674 y[1] (closed_form) = -14.81418389329216 y[1] (numeric) = -14.81418389329269 absolute error = 5.346834086594754e-13 relative error = 3.609266717025021e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.919999999999675 y[1] (closed_form) = -14.79937711402241 y[1] (numeric) = -14.79937711402294 absolute error = 5.311306949806749e-13 relative error = 3.588871956492201e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.909999999999676 y[1] (closed_form) = -14.78458513413099 y[1] (numeric) = -14.78458513413152 absolute error = 5.311306949806749e-13 relative error = 3.592462623482966e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.899999999999678 y[1] (closed_form) = -14.76980793882595 y[1] (numeric) = -14.76980793882648 absolute error = 5.293543381412746e-13 relative error = 3.584029936839876e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.889999999999679 y[1] (closed_form) = -14.75504551333007 y[1] (numeric) = -14.7550455133306 absolute error = 5.258016244624741e-13 relative error = 3.563537801272466e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.87999999999968 y[1] (closed_form) = -14.74029784288095 y[1] (numeric) = -14.74029784288147 absolute error = 5.222489107836736e-13 relative error = 3.543001073318894e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.869999999999681 y[1] (closed_form) = -14.72556491273088 y[1] (numeric) = -14.7255649127314 absolute error = 5.222489107836736e-13 relative error = 3.546545846483398e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.859999999999682 y[1] (closed_form) = -14.71084670814696 y[1] (numeric) = -14.71084670814748 absolute error = 5.169198402654729e-13 relative error = 3.513868715518593e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.849999999999683 y[1] (closed_form) = -14.69614321441098 y[1] (numeric) = -14.69614321441149 absolute error = 5.151434834260726e-13 relative error = 3.505297110339297e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.839999999999684 y[1] (closed_form) = -14.68145441681943 y[1] (numeric) = -14.68145441681994 absolute error = 5.133671265866724e-13 relative error = 3.496704835990544e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.829999999999685 y[1] (closed_form) = -14.66678030068352 y[1] (numeric) = -14.66678030068403 absolute error = 5.115907697472721e-13 relative error = 3.488091859693502e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.819999999999686 y[1] (closed_form) = -14.65212085132914 y[1] (numeric) = -14.65212085132965 absolute error = 5.080380560684716e-13 relative error = 3.467334601068253e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.809999999999687 y[1] (closed_form) = -14.63747605409683 y[1] (numeric) = -14.63747605409733 absolute error = 5.044853423896711e-13 relative error = 3.446532315579588e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.799999999999689 y[1] (closed_form) = -14.62284589434179 y[1] (numeric) = -14.6228458943423 absolute error = 5.062616992290714e-13 relative error = 3.462128390650454e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.78999999999969 y[1] (closed_form) = -14.60823035743386 y[1] (numeric) = -14.60823035743437 absolute error = 5.044853423896711e-13 relative error = 3.453432277873053e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.779999999999691 y[1] (closed_form) = -14.59362942875752 y[1] (numeric) = -14.59362942875802 absolute error = 5.009326287108706e-13 relative error = 3.43254315971431e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.769999999999692 y[1] (closed_form) = -14.57904309371181 y[1] (numeric) = -14.57904309371231 absolute error = 4.991562718714704e-13 relative error = 3.423793102626639e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.759999999999693 y[1] (closed_form) = -14.56447133771041 y[1] (numeric) = -14.56447133771091 absolute error = 4.973799150320701e-13 relative error = 3.415022100694113e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.749999999999694 y[1] (closed_form) = -14.54991414618157 y[1] (numeric) = -14.54991414618206 absolute error = 4.973799150320701e-13 relative error = 3.41843883087517e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.739999999999695 y[1] (closed_form) = -14.53537150456808 y[1] (numeric) = -14.53537150456858 absolute error = 4.973799150320701e-13 relative error = 3.421858979495343e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.729999999999696 y[1] (closed_form) = -14.52084339832731 y[1] (numeric) = -14.5208433983278 absolute error = 4.902744876744691e-13 relative error = 3.376349942117996e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.719999999999697 y[1] (closed_form) = -14.50632981293115 y[1] (numeric) = -14.50632981293164 absolute error = 4.884981308350689e-13 relative error = 3.367482589563176e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.709999999999698 y[1] (closed_form) = -14.49183073386601 y[1] (numeric) = -14.49183073386649 absolute error = 4.884981308350689e-13 relative error = 3.370851756455421e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.6999999999997 y[1] (closed_form) = -14.47734614663281 y[1] (numeric) = -14.4773461466333 absolute error = 4.884981308350689e-13 relative error = 3.374224294199704e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.689999999999701 y[1] (closed_form) = -14.46287603674697 y[1] (numeric) = -14.46287603674745 absolute error = 4.849454171562684e-13 relative error = 3.353035841032789e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.679999999999702 y[1] (closed_form) = -14.44842038973836 y[1] (numeric) = -14.44842038973885 absolute error = 4.884981308350689e-13 relative error = 3.380979495737907e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.669999999999703 y[1] (closed_form) = -14.43397919115135 y[1] (numeric) = -14.43397919115184 absolute error = 4.867217739956686e-13 relative error = 3.372055394773258e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.659999999999704 y[1] (closed_form) = -14.41955242654473 y[1] (numeric) = -14.41955242654522 absolute error = 4.867217739956686e-13 relative error = 3.375429136757879e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.649999999999705 y[1] (closed_form) = -14.40514008149174 y[1] (numeric) = -14.40514008149223 absolute error = 4.849454171562684e-13 relative error = 3.366474844485158e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.639999999999706 y[1] (closed_form) = -14.39074214158004 y[1] (numeric) = -14.39074214158052 absolute error = 4.849454171562684e-13 relative error = 3.369843003128284e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.629999999999707 y[1] (closed_form) = -14.37635859241168 y[1] (numeric) = -14.37635859241216 absolute error = 4.831690603168681e-13 relative error = 3.360858434429293e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.619999999999708 y[1] (closed_form) = -14.3619894196031 y[1] (numeric) = -14.36198941960358 absolute error = 4.813927034774679e-13 relative error = 3.351852514390526e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.609999999999709 y[1] (closed_form) = -14.34763460878514 y[1] (numeric) = -14.34763460878562 absolute error = 4.831690603168681e-13 relative error = 3.367586877498406e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.599999999999711 y[1] (closed_form) = -14.33329414560299 y[1] (numeric) = -14.33329414560347 absolute error = 4.831690603168681e-13 relative error = 3.370956148730747e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.589999999999712 y[1] (closed_form) = -14.31896801571618 y[1] (numeric) = -14.31896801571665 absolute error = 4.778399897986674e-13 relative error = 3.337111929254964e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.579999999999713 y[1] (closed_form) = -14.30465620479857 y[1] (numeric) = -14.30465620479905 absolute error = 4.813927034774679e-13 relative error = 3.365286775057078e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.569999999999714 y[1] (closed_form) = -14.29035869853836 y[1] (numeric) = -14.29035869853884 absolute error = 4.778399897986674e-13 relative error = 3.343792831789041e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.559999999999715 y[1] (closed_form) = -14.27607548263804 y[1] (numeric) = -14.27607548263852 absolute error = 4.778399897986674e-13 relative error = 3.347138297074683e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.549999999999716 y[1] (closed_form) = -14.2618065428144 y[1] (numeric) = -14.26180654281487 absolute error = 4.742872761198669e-13 relative error = 3.325576424669914e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.539999999999717 y[1] (closed_form) = -14.24755186479848 y[1] (numeric) = -14.24755186479896 absolute error = 4.742872761198669e-13 relative error = 3.328903664437197e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.529999999999718 y[1] (closed_form) = -14.23331143433562 y[1] (numeric) = -14.23331143433609 absolute error = 4.707345624410664e-13 relative error = 3.307273677055175e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.519999999999719 y[1] (closed_form) = -14.21908523718538 y[1] (numeric) = -14.21908523718585 absolute error = 4.725109192804666e-13 relative error = 3.323075369467289e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.50999999999972 y[1] (closed_form) = -14.20487325912156 y[1] (numeric) = -14.20487325912203 absolute error = 4.725109192804666e-13 relative error = 3.326400106928425e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.499999999999722 y[1] (closed_form) = -14.19067548593218 y[1] (numeric) = -14.19067548593265 absolute error = 4.707345624410664e-13 relative error = 3.317210395711787e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.489999999999723 y[1] (closed_form) = -14.17649190341947 y[1] (numeric) = -14.17649190341994 absolute error = 4.725109192804666e-13 relative error = 3.333059564379913e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.479999999999724 y[1] (closed_form) = -14.16232249739984 y[1] (numeric) = -14.16232249740031 absolute error = 4.689582056016661e-13 relative error = 3.311308619668598e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.469999999999725 y[1] (closed_form) = -14.1481672537039 y[1] (numeric) = -14.14816725370436 absolute error = 4.671818487622659e-13 relative error = 3.302066199704847e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.459999999999726 y[1] (closed_form) = -14.13402615817638 y[1] (numeric) = -14.13402615817685 absolute error = 4.689582056016661e-13 relative error = 3.317937863942461e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.449999999999727 y[1] (closed_form) = -14.11989919667621 y[1] (numeric) = -14.11989919667667 absolute error = 4.671818487622659e-13 relative error = 3.308676940641612e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.439999999999728 y[1] (closed_form) = -14.1057863550764 y[1] (numeric) = -14.10578635507687 absolute error = 4.671818487622659e-13 relative error = 3.311987272472308e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.429999999999729 y[1] (closed_form) = -14.09168761926413 y[1] (numeric) = -14.09168761926459 absolute error = 4.618527782440651e-13 relative error = 3.277483795572408e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.41999999999973 y[1] (closed_form) = -14.07760297514065 y[1] (numeric) = -14.07760297514111 absolute error = 4.654054919228656e-13 relative error = 3.30599955649208e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.409999999999731 y[1] (closed_form) = -14.06353240862131 y[1] (numeric) = -14.06353240862178 absolute error = 4.636291350834654e-13 relative error = 3.296676266051398e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.399999999999733 y[1] (closed_form) = -14.04947590563556 y[1] (numeric) = -14.04947590563603 absolute error = 4.671818487622659e-13 relative error = 3.325261752823596e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.389999999999734 y[1] (closed_form) = -14.03543345212689 y[1] (numeric) = -14.03543345212735 absolute error = 4.654054919228656e-13 relative error = 3.315932447047721e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.379999999999735 y[1] (closed_form) = -14.02140503405284 y[1] (numeric) = -14.0214050340533 absolute error = 4.618527782440651e-13 relative error = 3.293912251464062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.369999999999736 y[1] (closed_form) = -14.00739063738498 y[1] (numeric) = -14.00739063738545 absolute error = 4.636291350834654e-13 relative error = 3.30988937972547e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.359999999999737 y[1] (closed_form) = -13.99339024810894 y[1] (numeric) = -13.9933902481094 absolute error = 4.583000645652646e-13 relative error = 3.275118155353376e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.349999999999738 y[1] (closed_form) = -13.9794038522243 y[1] (numeric) = -13.97940385222476 absolute error = 4.600764214046649e-13 relative error = 3.291101868635555e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.339999999999739 y[1] (closed_form) = -13.96543143574469 y[1] (numeric) = -13.96543143574515 absolute error = 4.583000645652646e-13 relative error = 3.281674946269401e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.32999999999974 y[1] (closed_form) = -13.95147298469767 y[1] (numeric) = -13.95147298469813 absolute error = 4.583000645652646e-13 relative error = 3.284958262600226e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.319999999999741 y[1] (closed_form) = -13.93752848512481 y[1] (numeric) = -13.93752848512526 absolute error = 4.547473508864641e-13 relative error = 3.262754593626877e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.309999999999742 y[1] (closed_form) = -13.92359792308159 y[1] (numeric) = -13.92359792308204 absolute error = 4.529709940470639e-13 relative error = 3.25326109350055e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.299999999999744 y[1] (closed_form) = -13.90968128463745 y[1] (numeric) = -13.9096812846379 absolute error = 4.494182803682634e-13 relative error = 3.230974679949163e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.289999999999745 y[1] (closed_form) = -13.89577855587575 y[1] (numeric) = -13.8957785558762 absolute error = 4.476419235288631e-13 relative error = 3.221423842707829e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.279999999999746 y[1] (closed_form) = -13.88188972289377 y[1] (numeric) = -13.88188972289421 absolute error = 4.423128530106624e-13 relative error = 3.186258224492359e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.269999999999747 y[1] (closed_form) = -13.86801477180267 y[1] (numeric) = -13.86801477180311 absolute error = 4.405364961712621e-13 relative error = 3.176637055990083e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.259999999999748 y[1] (closed_form) = -13.8541536887275 y[1] (numeric) = -13.85415368872794 absolute error = 4.387601393318619e-13 relative error = 3.166993446080083e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.249999999999749 y[1] (closed_form) = -13.84030645980717 y[1] (numeric) = -13.84030645980761 absolute error = 4.387601393318619e-13 relative error = 3.17016202355085e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.23999999999975 y[1] (closed_form) = -13.82647307119445 y[1] (numeric) = -13.82647307119489 absolute error = 4.369837824924616e-13 relative error = 3.160486266037411e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.229999999999751 y[1] (closed_form) = -13.81265350905596 y[1] (numeric) = -13.81265350905639 absolute error = 4.352074256530614e-13 relative error = 3.150787973995926e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.219999999999752 y[1] (closed_form) = -13.79884775957212 y[1] (numeric) = -13.79884775957256 absolute error = 4.352074256530614e-13 relative error = 3.153940337889171e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.209999999999753 y[1] (closed_form) = -13.7850558089372 y[1] (numeric) = -13.78505580893763 absolute error = 4.334310688136611e-13 relative error = 3.144209750189454e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.199999999999755 y[1] (closed_form) = -13.77127764335923 y[1] (numeric) = -13.77127764335966 absolute error = 4.316547119742609e-13 relative error = 3.134456534484386e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.189999999999756 y[1] (closed_form) = -13.75751324906006 y[1] (numeric) = -13.75751324906049 absolute error = 4.298783551348606e-13 relative error = 3.124680655235646e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.179999999999757 y[1] (closed_form) = -13.74376261227528 y[1] (numeric) = -13.7437626122757 absolute error = 4.227729277772596e-13 relative error = 3.076107611169439e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.169999999999758 y[1] (closed_form) = -13.73002571925426 y[1] (numeric) = -13.73002571925468 absolute error = 4.209965709378594e-13 relative error = 3.066247504165095e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.159999999999759 y[1] (closed_form) = -13.7163025562601 y[1] (numeric) = -13.71630255626052 absolute error = 4.227729277772596e-13 relative error = 3.082265982710528e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.14999999999976 y[1] (closed_form) = -13.70259310956964 y[1] (numeric) = -13.70259310957006 absolute error = 4.209965709378594e-13 relative error = 3.072386135758808e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.139999999999761 y[1] (closed_form) = -13.68889736547343 y[1] (numeric) = -13.68889736547385 absolute error = 4.192202140984591e-13 relative error = 3.062483433879996e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.129999999999762 y[1] (closed_form) = -13.67521531027573 y[1] (numeric) = -13.67521531027615 absolute error = 4.192202140984591e-13 relative error = 3.065547449066135e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.119999999999763 y[1] (closed_form) = -13.66154693029448 y[1] (numeric) = -13.66154693029489 absolute error = 4.174438572590589e-13 relative error = 3.055611925860147e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.109999999999765 y[1] (closed_form) = -13.64789221186129 y[1] (numeric) = -13.64789221186171 absolute error = 4.156675004196586e-13 relative error = 3.045653453054126e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.099999999999766 y[1] (closed_form) = -13.63425114132146 y[1] (numeric) = -13.63425114132187 absolute error = 4.138911435802584e-13 relative error = 3.035671994671379e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.089999999999767 y[1] (closed_form) = -13.6206237050339 y[1] (numeric) = -13.62062370503431 absolute error = 4.138911435802584e-13 relative error = 3.03870918500812e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.079999999999768 y[1] (closed_form) = -13.60700988937118 y[1] (numeric) = -13.60700988937159 absolute error = 4.103384299014579e-13 relative error = 3.015639977023789e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.069999999999769 y[1] (closed_form) = -13.59340968071949 y[1] (numeric) = -13.5934096807199 absolute error = 4.067857162226574e-13 relative error = 2.992521565796922e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.05999999999977 y[1] (closed_form) = -13.57982306547861 y[1] (numeric) = -13.57982306547902 absolute error = 4.032330025438569e-13 relative error = 2.969353875964106e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.049999999999771 y[1] (closed_form) = -13.56625003006193 y[1] (numeric) = -13.56625003006233 absolute error = 4.067857162226574e-13 relative error = 2.998512597963672e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.039999999999772 y[1] (closed_form) = -13.55269056089641 y[1] (numeric) = -13.55269056089681 absolute error = 4.032330025438569e-13 relative error = 2.975298526384904e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.029999999999773 y[1] (closed_form) = -13.53914464442258 y[1] (numeric) = -13.53914464442298 absolute error = 4.014566457044566e-13 relative error = 2.965155157492433e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.019999999999774 y[1] (closed_form) = -13.52561226709452 y[1] (numeric) = -13.52561226709492 absolute error = 4.014566457044566e-13 relative error = 2.96812179572182e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.009999999999776 y[1] (closed_form) = -13.51209341537985 y[1] (numeric) = -13.51209341538025 absolute error = 3.979039320256561e-13 relative error = 2.944798557807115e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.999999999999777 y[1] (closed_form) = -13.49858807575973 y[1] (numeric) = -13.49858807576013 absolute error = 3.943512183468556e-13 relative error = 2.921425678993917e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.989999999999778 y[1] (closed_form) = -13.48509623472881 y[1] (numeric) = -13.4850962347292 absolute error = 3.943512183468556e-13 relative error = 2.924348565872777e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.979999999999779 y[1] (closed_form) = -13.47161787879524 y[1] (numeric) = -13.47161787879564 absolute error = 3.943512183468556e-13 relative error = 2.927274377100445e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.96999999999978 y[1] (closed_form) = -13.45815299448068 y[1] (numeric) = -13.45815299448107 absolute error = 3.925748615074554e-13 relative error = 2.917004002469389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.959999999999781 y[1] (closed_form) = -13.44470156832023 y[1] (numeric) = -13.44470156832062 absolute error = 3.907985046680551e-13 relative error = 2.906710146611912e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.949999999999782 y[1] (closed_form) = -13.43126358686247 y[1] (numeric) = -13.43126358686287 absolute error = 3.907985046680551e-13 relative error = 2.90961831059817e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.939999999999783 y[1] (closed_form) = -13.41783903666942 y[1] (numeric) = -13.41783903666981 absolute error = 3.872457909892546e-13 relative error = 2.88605184434659e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.929999999999784 y[1] (closed_form) = -13.40442790431652 y[1] (numeric) = -13.40442790431691 absolute error = 3.890221478286549e-13 relative error = 2.902191355017703e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.919999999999785 y[1] (closed_form) = -13.39103017639265 y[1] (numeric) = -13.39103017639303 absolute error = 3.836930773104541e-13 relative error = 2.865299176062461e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.909999999999787 y[1] (closed_form) = -13.37764583950007 y[1] (numeric) = -13.37764583950045 absolute error = 3.819167204710538e-13 relative error = 2.854887362493717e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.899999999999788 y[1] (closed_form) = -13.36427488025444 y[1] (numeric) = -13.36427488025482 absolute error = 3.801403636316536e-13 relative error = 2.844451846716402e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.889999999999789 y[1] (closed_form) = -13.3509172852848 y[1] (numeric) = -13.35091728528518 absolute error = 3.801403636316536e-13 relative error = 2.847297721263236e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.87999999999979 y[1] (closed_form) = -13.33757304123356 y[1] (numeric) = -13.33757304123394 absolute error = 3.801403636316536e-13 relative error = 2.850146443108028e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.869999999999791 y[1] (closed_form) = -13.32424213475648 y[1] (numeric) = -13.32424213475686 absolute error = 3.748112931134528e-13 relative error = 2.813002715822404e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.859999999999792 y[1] (closed_form) = -13.31092455252264 y[1] (numeric) = -13.31092455252302 absolute error = 3.748112931134528e-13 relative error = 2.815817125508535e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.849999999999793 y[1] (closed_form) = -13.29762028121446 y[1] (numeric) = -13.29762028121483 absolute error = 3.730349362740526e-13 relative error = 2.805275894372159e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.839999999999794 y[1] (closed_form) = -13.28432930752767 y[1] (numeric) = -13.28432930752805 absolute error = 3.712585794346523e-13 relative error = 2.794710751594178e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.829999999999795 y[1] (closed_form) = -13.2710516181713 y[1] (numeric) = -13.27105161817167 absolute error = 3.730349362740526e-13 relative error = 2.81089206045493e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.819999999999796 y[1] (closed_form) = -13.25778719986765 y[1] (numeric) = -13.25778719986802 absolute error = 3.677058657558518e-13 relative error = 2.773508581881014e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.809999999999798 y[1] (closed_form) = -13.24453603935231 y[1] (numeric) = -13.24453603935267 absolute error = 3.677058657558518e-13 relative error = 2.776283477679552e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.799999999999799 y[1] (closed_form) = -13.2312981233741 y[1] (numeric) = -13.23129812337447 absolute error = 3.677058657558518e-13 relative error = 2.7790611497618e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.7899999999998 y[1] (closed_form) = -13.21807343869513 y[1] (numeric) = -13.2180734386955 absolute error = 3.712585794346523e-13 relative error = 2.808719297532535e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.779999999999801 y[1] (closed_form) = -13.20486197209069 y[1] (numeric) = -13.20486197209106 absolute error = 3.677058657558518e-13 relative error = 2.784624833890891e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.769999999999802 y[1] (closed_form) = -13.19166371034933 y[1] (numeric) = -13.1916637103497 absolute error = 3.694822225952521e-13 relative error = 2.800876604407223e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.759999999999803 y[1] (closed_form) = -13.17847864027277 y[1] (numeric) = -13.17847864027314 absolute error = 3.694822225952521e-13 relative error = 2.803678881916862e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.749999999999804 y[1] (closed_form) = -13.16530674867596 y[1] (numeric) = -13.16530674867633 absolute error = 3.677058657558518e-13 relative error = 2.792991251744531e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.739999999999805 y[1] (closed_form) = -13.15214802238699 y[1] (numeric) = -13.15214802238735 absolute error = 3.659295089164516e-13 relative error = 2.782279429136465e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.729999999999806 y[1] (closed_form) = -13.13900244824714 y[1] (numeric) = -13.1390024482475 absolute error = 3.641531520770513e-13 relative error = 2.771543376381916e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.719999999999807 y[1] (closed_form) = -13.12587001311083 y[1] (numeric) = -13.12587001311119 absolute error = 3.623767952376511e-13 relative error = 2.760783055718893e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.709999999999809 y[1] (closed_form) = -13.11275070384563 y[1] (numeric) = -13.11275070384599 absolute error = 3.606004383982508e-13 relative error = 2.749998429334099e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.69999999999981 y[1] (closed_form) = -13.09964450733222 y[1] (numeric) = -13.09964450733259 absolute error = 3.623767952376511e-13 relative error = 2.766310147079328e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.689999999999811 y[1] (closed_form) = -13.08655141046442 y[1] (numeric) = -13.08655141046478 absolute error = 3.588240815588506e-13 relative error = 2.741930018873601e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.679999999999812 y[1] (closed_form) = -13.07347140014912 y[1] (numeric) = -13.07347140014947 absolute error = 3.570477247194503e-13 relative error = 2.731085828629861e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.669999999999813 y[1] (closed_form) = -13.0604044633063 y[1] (numeric) = -13.06040446330666 absolute error = 3.570477247194503e-13 relative error = 2.7338182804567e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.659999999999814 y[1] (closed_form) = -13.04735058686904 y[1] (numeric) = -13.04735058686939 absolute error = 3.534950110406498e-13 relative error = 2.709324078379638e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.649999999999815 y[1] (closed_form) = -13.03430975778345 y[1] (numeric) = -13.0343097577838 absolute error = 3.517186542012496e-13 relative error = 2.698406442207042e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.639999999999816 y[1] (closed_form) = -13.0212819630087 y[1] (numeric) = -13.02128196300905 absolute error = 3.517186542012496e-13 relative error = 2.701106198302316e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.629999999999817 y[1] (closed_form) = -13.00826718951701 y[1] (numeric) = -13.00826718951735 absolute error = 3.481659405224491e-13 relative error = 2.67649745696357e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.619999999999818 y[1] (closed_form) = -12.99526542429358 y[1] (numeric) = -12.99526542429393 absolute error = 3.499422973618493e-13 relative error = 2.692844554815025e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.60999999999982 y[1] (closed_form) = -12.98227665433667 y[1] (numeric) = -12.98227665433702 absolute error = 3.499422973618493e-13 relative error = 2.695538746241037e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.599999999999821 y[1] (closed_form) = -12.96930086665748 y[1] (numeric) = -12.96930086665783 absolute error = 3.499422973618493e-13 relative error = 2.698235633206019e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.589999999999822 y[1] (closed_form) = -12.95633804828025 y[1] (numeric) = -12.9563380482806 absolute error = 3.499422973618493e-13 relative error = 2.70093521840686e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.579999999999823 y[1] (closed_form) = -12.94338818624215 y[1] (numeric) = -12.9433881862425 absolute error = 3.534950110406498e-13 relative error = 2.731085601035968e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.569999999999824 y[1] (closed_form) = -12.93045126759331 y[1] (numeric) = -12.93045126759366 absolute error = 3.499422973618493e-13 relative error = 2.706342494317158e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.559999999999825 y[1] (closed_form) = -12.91752727939681 y[1] (numeric) = -12.91752727939716 absolute error = 3.463895836830488e-13 relative error = 2.681547142815274e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.549999999999826 y[1] (closed_form) = -12.90461620872868 y[1] (numeric) = -12.90461620872902 absolute error = 3.446132268436486e-13 relative error = 2.670464748967524e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.539999999999827 y[1] (closed_form) = -12.89171804267782 y[1] (numeric) = -12.89171804267817 absolute error = 3.428368700042483e-13 relative error = 2.659357495015734e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.529999999999828 y[1] (closed_form) = -12.87883276834608 y[1] (numeric) = -12.87883276834642 absolute error = 3.392841563254478e-13 relative error = 2.634432501983789e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.519999999999829 y[1] (closed_form) = -12.86596037284819 y[1] (numeric) = -12.86596037284853 absolute error = 3.410605131648481e-13 relative error = 2.650874892204773e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.509999999999831 y[1] (closed_form) = -12.85310084331174 y[1] (numeric) = -12.85310084331207 absolute error = 3.357314426466473e-13 relative error = 2.61206573214859e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.499999999999832 y[1] (closed_form) = -12.8402541668772 y[1] (numeric) = -12.84025416687753 absolute error = 3.357314426466473e-13 relative error = 2.614679104349058e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.489999999999833 y[1] (closed_form) = -12.8274203306979 y[1] (numeric) = -12.82742033069823 absolute error = 3.357314426466473e-13 relative error = 2.617295091228848e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.479999999999834 y[1] (closed_form) = -12.81459932194 y[1] (numeric) = -12.81459932194033 absolute error = 3.339550858072471e-13 relative error = 2.606051718179587e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.469999999999835 y[1] (closed_form) = -12.80179112778249 y[1] (numeric) = -12.80179112778282 absolute error = 3.286260152890463e-13 relative error = 2.567031534953426e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.459999999999836 y[1] (closed_form) = -12.78899573541717 y[1] (numeric) = -12.7889957354175 absolute error = 3.268496584496461e-13 relative error = 2.555710121510837e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.449999999999837 y[1] (closed_form) = -12.77621313204866 y[1] (numeric) = -12.77621313204898 absolute error = 3.232969447708456e-13 relative error = 2.530459858718755e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.439999999999838 y[1] (closed_form) = -12.76344330489434 y[1] (numeric) = -12.76344330489466 absolute error = 3.215205879314453e-13 relative error = 2.519074048052169e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.429999999999839 y[1] (closed_form) = -12.75068624118439 y[1] (numeric) = -12.75068624118471 absolute error = 3.215205879314453e-13 relative error = 2.521594382057195e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.419999999999841 y[1] (closed_form) = -12.73794192816174 y[1] (numeric) = -12.73794192816206 absolute error = 3.197442310920451e-13 relative error = 2.510171838553738e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.409999999999842 y[1] (closed_form) = -12.72521035308209 y[1] (numeric) = -12.72521035308241 absolute error = 3.161915174132446e-13 relative error = 2.484764562942269e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.399999999999843 y[1] (closed_form) = -12.71249150321385 y[1] (numeric) = -12.71249150321416 absolute error = 3.144151605738443e-13 relative error = 2.47327725249104e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.389999999999844 y[1] (closed_form) = -12.69978536583817 y[1] (numeric) = -12.69978536583848 absolute error = 3.144151605738443e-13 relative error = 2.475751766794473e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.379999999999845 y[1] (closed_form) = -12.68709192824891 y[1] (numeric) = -12.68709192824922 absolute error = 3.108624468950438e-13 relative error = 2.450226172026717e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.369999999999846 y[1] (closed_form) = -12.67441117775264 y[1] (numeric) = -12.67441117775295 absolute error = 3.073097332162433e-13 relative error = 2.424647022306355e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.359999999999847 y[1] (closed_form) = -12.66174310166861 y[1] (numeric) = -12.66174310166891 absolute error = 3.055333763768431e-13 relative error = 2.413043559038715e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.349999999999848 y[1] (closed_form) = -12.64908768732873 y[1] (numeric) = -12.64908768732903 absolute error = 3.019806626980426e-13 relative error = 2.387371090806437e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.339999999999849 y[1] (closed_form) = -12.63644492207759 y[1] (numeric) = -12.63644492207789 absolute error = 3.019806626980426e-13 relative error = 2.389759655980784e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.32999999999985 y[1] (closed_form) = -12.62381479327242 y[1] (numeric) = -12.62381479327273 absolute error = 3.019806626980426e-13 relative error = 2.392150610914985e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.319999999999852 y[1] (closed_form) = -12.61119728828311 y[1] (numeric) = -12.6111972882834 absolute error = 2.966515921798418e-13 relative error = 2.352287299917644e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.309999999999853 y[1] (closed_form) = -12.59859239449213 y[1] (numeric) = -12.59859239449242 absolute error = 2.948752353404416e-13 relative error = 2.340541118461421e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.299999999999854 y[1] (closed_form) = -12.58600009929459 y[1] (numeric) = -12.58600009929489 absolute error = 2.948752353404416e-13 relative error = 2.342882830240629e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.289999999999855 y[1] (closed_form) = -12.57342039009821 y[1] (numeric) = -12.5734203900985 absolute error = 2.948752353404416e-13 relative error = 2.345226884902863e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.279999999999856 y[1] (closed_form) = -12.56085325432326 y[1] (numeric) = -12.56085325432355 absolute error = 2.930988785010413e-13 relative error = 2.333431277052465e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.269999999999857 y[1] (closed_form) = -12.54829867940261 y[1] (numeric) = -12.54829867940291 absolute error = 2.930988785010413e-13 relative error = 2.335765875434158e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.259999999999858 y[1] (closed_form) = -12.53575665278169 y[1] (numeric) = -12.53575665278198 absolute error = 2.913225216616411e-13 relative error = 2.323932489523849e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.249999999999859 y[1] (closed_form) = -12.52322716191847 y[1] (numeric) = -12.52322716191876 absolute error = 2.877698079828406e-13 relative error = 2.297888589435731e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.23999999999986 y[1] (closed_form) = -12.51071019428345 y[1] (numeric) = -12.51071019428374 absolute error = 2.859934511434403e-13 relative error = 2.285988938294806e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.229999999999861 y[1] (closed_form) = -12.49820573735967 y[1] (numeric) = -12.49820573735995 absolute error = 2.859934511434403e-13 relative error = 2.288276070608664e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.219999999999863 y[1] (closed_form) = -12.48571377864266 y[1] (numeric) = -12.48571377864295 absolute error = 2.842170943040401e-13 relative error = 2.276338376346616e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.209999999999864 y[1] (closed_form) = -12.47323430564048 y[1] (numeric) = -12.47323430564076 absolute error = 2.806643806252396e-13 relative error = 2.250133155105739e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.199999999999865 y[1] (closed_form) = -12.46076730587364 y[1] (numeric) = -12.46076730587392 absolute error = 2.771116669464391e-13 relative error = 2.223873218592379e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.189999999999866 y[1] (closed_form) = -12.44831276687514 y[1] (numeric) = -12.44831276687542 absolute error = 2.788880237858393e-13 relative error = 2.240368064401129e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.179999999999867 y[1] (closed_form) = -12.43587067619045 y[1] (numeric) = -12.43587067619073 absolute error = 2.771116669464391e-13 relative error = 2.228325415742649e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.169999999999868 y[1] (closed_form) = -12.42344102137747 y[1] (numeric) = -12.42344102137775 absolute error = 2.788880237858393e-13 relative error = 2.244853284254712e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.159999999999869 y[1] (closed_form) = -12.41102379000655 y[1] (numeric) = -12.41102379000683 absolute error = 2.771116669464391e-13 relative error = 2.232786526197552e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.14999999999987 y[1] (closed_form) = -12.39861896966046 y[1] (numeric) = -12.39861896966073 absolute error = 2.753353101070388e-13 relative error = 2.220693375454049e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.139999999999871 y[1] (closed_form) = -12.38622654793437 y[1] (numeric) = -12.38622654793464 absolute error = 2.717825964282383e-13 relative error = 2.194232403036122e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.129999999999872 y[1] (closed_form) = -12.37384651243585 y[1] (numeric) = -12.37384651243612 absolute error = 2.735589532676386e-13 relative error = 2.210783469737635e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.119999999999874 y[1] (closed_form) = -12.36147885078488 y[1] (numeric) = -12.36147885078515 absolute error = 2.735589532676386e-13 relative error = 2.212995358967663e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.109999999999875 y[1] (closed_form) = -12.34912355061379 y[1] (numeric) = -12.34912355061406 absolute error = 2.700062395888381e-13 relative error = 2.186440507151764e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.099999999999876 y[1] (closed_form) = -12.33678059956728 y[1] (numeric) = -12.33678059956755 absolute error = 2.700062395888381e-13 relative error = 2.188628041243667e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.089999999999877 y[1] (closed_form) = -12.3244499853024 y[1] (numeric) = -12.32444998530266 absolute error = 2.664535259100376e-13 relative error = 2.161991214437954e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.079999999999878 y[1] (closed_form) = -12.31213169548853 y[1] (numeric) = -12.31213169548879 absolute error = 2.646771690706373e-13 relative error = 2.149726591761698e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.069999999999879 y[1] (closed_form) = -12.29982571780738 y[1] (numeric) = -12.29982571780764 absolute error = 2.593480985524366e-13 relative error = 2.108551003100466e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.05999999999988 y[1] (closed_form) = -12.28753203995297 y[1] (numeric) = -12.28753203995323 absolute error = 2.611244553918368e-13 relative error = 2.125117188242434e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.049999999999881 y[1] (closed_form) = -12.27525064963163 y[1] (numeric) = -12.27525064963189 absolute error = 2.575717417130363e-13 relative error = 2.098301281699415e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.039999999999882 y[1] (closed_form) = -12.26298153456196 y[1] (numeric) = -12.26298153456222 absolute error = 2.557953848736361e-13 relative error = 2.085915110878239e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.029999999999883 y[1] (closed_form) = -12.25072468247485 y[1] (numeric) = -12.2507246824751 absolute error = 2.522426711948356e-13 relative error = 2.059002040554211e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.019999999999885 y[1] (closed_form) = -12.23848008111344 y[1] (numeric) = -12.23848008111369 absolute error = 2.522426711948356e-13 relative error = 2.061062072439038e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.009999999999886 y[1] (closed_form) = -12.22624771823313 y[1] (numeric) = -12.22624771823338 absolute error = 2.451372438372346e-13 relative error = 2.005007991713261e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.999999999999887 y[1] (closed_form) = -12.21402758160156 y[1] (numeric) = -12.2140275816018 absolute error = 2.433608869978343e-13 relative error = 1.992470422814648e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.989999999999888 y[1] (closed_form) = -12.20181965899859 y[1] (numeric) = -12.20181965899883 absolute error = 2.433608869978343e-13 relative error = 1.994463889804835e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.979999999999889 y[1] (closed_form) = -12.18962393821629 y[1] (numeric) = -12.18962393821653 absolute error = 2.415845301584341e-13 relative error = 1.981886655264487e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.96999999999989 y[1] (closed_form) = -12.17744040705895 y[1] (numeric) = -12.17744040705919 absolute error = 2.380318164796336e-13 relative error = 1.954694981234748e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.959999999999891 y[1] (closed_form) = -12.16526905334303 y[1] (numeric) = -12.16526905334327 absolute error = 2.433608869978343e-13 relative error = 2.000456265543576e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.949999999999892 y[1] (closed_form) = -12.15310986489718 y[1] (numeric) = -12.15310986489742 absolute error = 2.380318164796336e-13 relative error = 1.958608283194743e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.939999999999893 y[1] (closed_form) = -12.1409628295622 y[1] (numeric) = -12.14096282956244 absolute error = 2.380318164796336e-13 relative error = 1.960567871108595e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.929999999999894 y[1] (closed_form) = -12.12882793519107 y[1] (numeric) = -12.1288279351913 absolute error = 2.362554596402333e-13 relative error = 1.94788367765324e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.919999999999896 y[1] (closed_form) = -12.11670516964888 y[1] (numeric) = -12.11670516964912 absolute error = 2.344791028008331e-13 relative error = 1.935172140592968e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.909999999999897 y[1] (closed_form) = -12.10459452081287 y[1] (numeric) = -12.10459452081311 absolute error = 2.362554596402333e-13 relative error = 1.951783343374379e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.899999999999898 y[1] (closed_form) = -12.09249597657239 y[1] (numeric) = -12.09249597657262 absolute error = 2.344791028008331e-13 relative error = 1.939046357799955e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.889999999999899 y[1] (closed_form) = -12.0804095248289 y[1] (numeric) = -12.08040952482913 absolute error = 2.291500322826323e-13 relative error = 1.896873047322276e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.8799999999999 y[1] (closed_form) = -12.06833515349593 y[1] (numeric) = -12.06833515349616 absolute error = 2.273736754432321e-13 relative error = 1.884051715098142e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.869999999999901 y[1] (closed_form) = -12.05627285049913 y[1] (numeric) = -12.05627285049935 absolute error = 2.273736754432321e-13 relative error = 1.885936709153184e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.859999999999902 y[1] (closed_form) = -12.04422260377618 y[1] (numeric) = -12.0442226037764 absolute error = 2.220446049250313e-13 relative error = 1.843577723774505e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.849999999999903 y[1] (closed_form) = -12.03218440127684 y[1] (numeric) = -12.03218440127706 absolute error = 2.238209617644316e-13 relative error = 1.860185601383237e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.839999999999904 y[1] (closed_form) = -12.0201582309629 y[1] (numeric) = -12.02015823096312 absolute error = 2.220446049250313e-13 relative error = 1.847268568836834e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.829999999999905 y[1] (closed_form) = -12.0081440808082 y[1] (numeric) = -12.00814408080842 absolute error = 2.184918912462308e-13 relative error = 1.819530893166344e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.819999999999907 y[1] (closed_form) = -11.99614193879857 y[1] (numeric) = -11.99614193879879 absolute error = 2.184918912462308e-13 relative error = 1.821351334128288e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.809999999999908 y[1] (closed_form) = -11.98415179293189 y[1] (numeric) = -11.9841517929321 absolute error = 2.167155344068306e-13 relative error = 1.808351046877151e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.799999999999909 y[1] (closed_form) = -11.97217363121799 y[1] (numeric) = -11.97217363121821 absolute error = 2.131628207280301e-13 relative error = 1.780485543345264e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.78999999999991 y[1] (closed_form) = -11.96020744167873 y[1] (numeric) = -11.96020744167894 absolute error = 2.113864638886298e-13 relative error = 1.767414695099634e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.779999999999911 y[1] (closed_form) = -11.9482532123479 y[1] (numeric) = -11.94825321234811 absolute error = 2.113864638886298e-13 relative error = 1.769182993796724e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.769999999999912 y[1] (closed_form) = -11.93631093127128 y[1] (numeric) = -11.93631093127149 absolute error = 2.060573933704291e-13 relative error = 1.726307186172494e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.759999999999913 y[1] (closed_form) = -11.92438058650659 y[1] (numeric) = -11.92438058650679 absolute error = 2.042810365310288e-13 relative error = 1.7131375088966e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.749999999999914 y[1] (closed_form) = -11.91246216612348 y[1] (numeric) = -11.91246216612368 absolute error = 2.025046796916286e-13 relative error = 1.699939751057586e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.739999999999915 y[1] (closed_form) = -11.90055565820352 y[1] (numeric) = -11.90055565820373 absolute error = 2.025046796916286e-13 relative error = 1.701640541061913e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.729999999999916 y[1] (closed_form) = -11.88866105084022 y[1] (numeric) = -11.88866105084042 absolute error = 1.971756091734278e-13 relative error = 1.65851821605674e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.719999999999918 y[1] (closed_form) = -11.87677833213896 y[1] (numeric) = -11.87677833213916 absolute error = 1.971756091734278e-13 relative error = 1.660177563808394e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.709999999999919 y[1] (closed_form) = -11.86490749021702 y[1] (numeric) = -11.86490749021721 absolute error = 1.936228954946273e-13 relative error = 1.631895534409141e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.69999999999992 y[1] (closed_form) = -11.85304851320356 y[1] (numeric) = -11.85304851320375 absolute error = 1.900701818158268e-13 relative error = 1.603555250820921e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.689999999999921 y[1] (closed_form) = -11.8412013892396 y[1] (numeric) = -11.84120138923979 absolute error = 1.918465386552271e-13 relative error = 1.620161099781335e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.679999999999922 y[1] (closed_form) = -11.82936610647802 y[1] (numeric) = -11.8293661064782 absolute error = 1.865174681370263e-13 relative error = 1.576732569253101e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.669999999999923 y[1] (closed_form) = -11.81754265308352 y[1] (numeric) = -11.81754265308371 absolute error = 1.829647544582258e-13 relative error = 1.548247041109559e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.659999999999924 y[1] (closed_form) = -11.80573101723267 y[1] (numeric) = -11.80573101723285 absolute error = 1.811883976188255e-13 relative error = 1.534749498818389e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.649999999999925 y[1] (closed_form) = -11.79393118711382 y[1] (numeric) = -11.793931187114 absolute error = 1.794120407794253e-13 relative error = 1.521223398144403e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.639999999999926 y[1] (closed_form) = -11.78214315092714 y[1] (numeric) = -11.78214315092731 absolute error = 1.77635683940025e-13 relative error = 1.507668695453313e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.629999999999928 y[1] (closed_form) = -11.77036689688459 y[1] (numeric) = -11.77036689688476 absolute error = 1.77635683940025e-13 relative error = 1.509177118234455e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.619999999999929 y[1] (closed_form) = -11.75860241320991 y[1] (numeric) = -11.75860241321009 absolute error = 1.758593271006248e-13 relative error = 1.495580179690912e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.60999999999993 y[1] (closed_form) = -11.74684968813864 y[1] (numeric) = -11.74684968813881 absolute error = 1.758593271006248e-13 relative error = 1.497076507910019e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.599999999999931 y[1] (closed_form) = -11.73510870991802 y[1] (numeric) = -11.7351087099182 absolute error = 1.77635683940025e-13 relative error = 1.513711447682584e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.589999999999932 y[1] (closed_form) = -11.7233794668071 y[1] (numeric) = -11.72337946680727 absolute error = 1.740829702612245e-13 relative error = 1.484921397913572e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.579999999999933 y[1] (closed_form) = -11.71166194707662 y[1] (numeric) = -11.71166194707679 absolute error = 1.687538997430238e-13 relative error = 1.440904805019128e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.569999999999934 y[1] (closed_form) = -11.69995613900906 y[1] (numeric) = -11.69995613900923 absolute error = 1.652011860642233e-13 relative error = 1.411981242505882e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.559999999999935 y[1] (closed_form) = -11.68826203089862 y[1] (numeric) = -11.68826203089878 absolute error = 1.63424829224823e-13 relative error = 1.398196145781125e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.549999999999936 y[1] (closed_form) = -11.67657961105118 y[1] (numeric) = -11.67657961105134 absolute error = 1.616484723854228e-13 relative error = 1.384382051679177e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.539999999999937 y[1] (closed_form) = -11.66490886778432 y[1] (numeric) = -11.66490886778448 absolute error = 1.616484723854228e-13 relative error = 1.38576712615267e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.529999999999939 y[1] (closed_form) = -11.65324978942731 y[1] (numeric) = -11.65324978942747 absolute error = 1.598721155460225e-13 relative error = 1.371910140389082e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.51999999999994 y[1] (closed_form) = -11.64160236432105 y[1] (numeric) = -11.64160236432121 absolute error = 1.598721155460225e-13 relative error = 1.37328273671325e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.509999999999941 y[1] (closed_form) = -11.62996658081813 y[1] (numeric) = -11.62996658081829 absolute error = 1.580957587066223e-13 relative error = 1.35938274291671e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.499999999999942 y[1] (closed_form) = -11.61834242728276 y[1] (numeric) = -11.61834242728292 absolute error = 1.56319401867222e-13 relative error = 1.345453560571129e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.489999999999943 y[1] (closed_form) = -11.60672989209079 y[1] (numeric) = -11.60672989209094 absolute error = 1.545430450278218e-13 relative error = 1.33149514518411e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.479999999999944 y[1] (closed_form) = -11.59512896362967 y[1] (numeric) = -11.59512896362983 absolute error = 1.56319401867222e-13 relative error = 1.348147160394227e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.469999999999945 y[1] (closed_form) = -11.58353963029849 y[1] (numeric) = -11.58353963029864 absolute error = 1.545430450278218e-13 relative error = 1.334160800240984e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.459999999999946 y[1] (closed_form) = -11.5719618805079 y[1] (numeric) = -11.57196188050805 absolute error = 1.545430450278218e-13 relative error = 1.33549562834404e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.449999999999947 y[1] (closed_form) = -11.56039570268016 y[1] (numeric) = -11.56039570268031 absolute error = 1.527666881884215e-13 relative error = 1.321465909276827e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.439999999999948 y[1] (closed_form) = -11.54884108524907 y[1] (numeric) = -11.54884108524923 absolute error = 1.580957587066223e-13 relative error = 1.368931804841894e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.42999999999995 y[1] (closed_form) = -11.53729801666005 y[1] (numeric) = -11.5372980166602 absolute error = 1.56319401867222e-13 relative error = 1.354904776157245e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.419999999999951 y[1] (closed_form) = -11.52576648536999 y[1] (numeric) = -11.52576648537015 absolute error = 1.580957587066223e-13 relative error = 1.371672408141342e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.409999999999952 y[1] (closed_form) = -11.51424647984738 y[1] (numeric) = -11.51424647984754 absolute error = 1.580957587066223e-13 relative error = 1.373044766614356e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.399999999999953 y[1] (closed_form) = -11.50273798857222 y[1] (numeric) = -11.50273798857237 absolute error = 1.509903313490213e-13 relative error = 1.312646880238667e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.389999999999954 y[1] (closed_form) = -11.491241000036 y[1] (numeric) = -11.49124100003615 absolute error = 1.49213974509621e-13 relative error = 1.298501828559279e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.379999999999955 y[1] (closed_form) = -11.47975550274174 y[1] (numeric) = -11.47975550274188 absolute error = 1.474376176702208e-13 relative error = 1.284327158666471e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.369999999999956 y[1] (closed_form) = -11.46828148520393 y[1] (numeric) = -11.46828148520408 absolute error = 1.474376176702208e-13 relative error = 1.285612128202825e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.359999999999957 y[1] (closed_form) = -11.45681893594857 y[1] (numeric) = -11.45681893594872 absolute error = 1.474376176702208e-13 relative error = 1.286898383351414e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.349999999999958 y[1] (closed_form) = -11.4453678435131 y[1] (numeric) = -11.44536784351324 absolute error = 1.456612608308205e-13 relative error = 1.272665613044295e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.339999999999959 y[1] (closed_form) = -11.43392819644642 y[1] (numeric) = -11.43392819644657 absolute error = 1.438849039914203e-13 relative error = 1.258403074773013e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.329999999999961 y[1] (closed_form) = -11.4224999833089 y[1] (numeric) = -11.42249998330904 absolute error = 1.438849039914203e-13 relative error = 1.25966210725911e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.319999999999962 y[1] (closed_form) = -11.41108319267231 y[1] (numeric) = -11.41108319267245 absolute error = 1.4210854715202e-13 relative error = 1.245355456204858e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.309999999999963 y[1] (closed_form) = -11.39967781311986 y[1] (numeric) = -11.39967781312 absolute error = 1.403321903126198e-13 relative error = 1.231018916614571e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.299999999999964 y[1] (closed_form) = -11.38828383324618 y[1] (numeric) = -11.38828383324632 absolute error = 1.403321903126198e-13 relative error = 1.232250551245865e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.289999999999965 y[1] (closed_form) = -11.37690124165728 y[1] (numeric) = -11.37690124165741 absolute error = 1.35003119794419e-13 relative error = 1.186642275667263e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.279999999999966 y[1] (closed_form) = -11.36553002697056 y[1] (numeric) = -11.3655300269707 absolute error = 1.314504061156185e-13 relative error = 1.156570840107631e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.269999999999967 y[1] (closed_form) = -11.35417017781483 y[1] (numeric) = -11.35417017781496 absolute error = 1.314504061156185e-13 relative error = 1.157727989425969e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.259999999999968 y[1] (closed_form) = -11.34282168283021 y[1] (numeric) = -11.34282168283034 absolute error = 1.296740492762183e-13 relative error = 1.143225670844387e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.249999999999969 y[1] (closed_form) = -11.33148453066823 y[1] (numeric) = -11.33148453066836 absolute error = 1.27897692436818e-13 relative error = 1.128693174232095e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.23999999999997 y[1] (closed_form) = -11.32015870999172 y[1] (numeric) = -11.32015870999184 absolute error = 1.225686219186173e-13 relative error = 1.082746497276865e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.229999999999972 y[1] (closed_form) = -11.30884420947486 y[1] (numeric) = -11.30884420947499 absolute error = 1.225686219186173e-13 relative error = 1.083829785327893e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.219999999999973 y[1] (closed_form) = -11.29754101780316 y[1] (numeric) = -11.29754101780328 absolute error = 1.225686219186173e-13 relative error = 1.084914157208797e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.209999999999974 y[1] (closed_form) = -11.28624912367341 y[1] (numeric) = -11.28624912367353 absolute error = 1.20792265079217e-13 relative error = 1.070260489163312e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.199999999999975 y[1] (closed_form) = -11.27496851579373 y[1] (numeric) = -11.27496851579385 absolute error = 1.190159082398168e-13 relative error = 1.055576413123477e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.189999999999976 y[1] (closed_form) = -11.2636991828835 y[1] (numeric) = -11.26369918288362 absolute error = 1.172395514004165e-13 relative error = 1.040861882911217e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.179999999999977 y[1] (closed_form) = -11.2524411136734 y[1] (numeric) = -11.25244111367351 absolute error = 1.13686837721616e-13 relative error = 1.01033043917439e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.169999999999978 y[1] (closed_form) = -11.24119429690534 y[1] (numeric) = -11.24119429690546 absolute error = 1.119104808822158e-13 relative error = 9.95539067526164e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.159999999999979 y[1] (closed_form) = -11.22995872133252 y[1] (numeric) = -11.22995872133263 absolute error = 1.119104808822158e-13 relative error = 9.965351045291886e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.14999999999998 y[1] (closed_form) = -11.21873437571936 y[1] (numeric) = -11.21873437571947 absolute error = 1.101341240428155e-13 relative error = 9.816982946060132e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.139999999999981 y[1] (closed_form) = -11.20752124884151 y[1] (numeric) = -11.20752124884162 absolute error = 1.06581410364015e-13 relative error = 9.509811134646036e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.129999999999983 y[1] (closed_form) = -11.19631932948584 y[1] (numeric) = -11.19631932948595 absolute error = 1.048050535246148e-13 relative error = 9.360670273900418e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.119999999999984 y[1] (closed_form) = -11.18512860645043 y[1] (numeric) = -11.18512860645054 absolute error = 1.048050535246148e-13 relative error = 9.370035626069959e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.109999999999985 y[1] (closed_form) = -11.17394906854457 y[1] (numeric) = -11.17394906854467 absolute error = 9.947598300641403e-14 relative error = 8.902491178024585e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.099999999999986 y[1] (closed_form) = -11.1627807045887 y[1] (numeric) = -11.1627807045888 absolute error = 9.769962616701378e-14 relative error = 8.752266012612097e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.089999999999987 y[1] (closed_form) = -11.15162350341446 y[1] (numeric) = -11.15162350341456 absolute error = 9.769962616701378e-14 relative error = 8.761022656216791e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.079999999999988 y[1] (closed_form) = -11.14047745386466 y[1] (numeric) = -11.14047745386475 absolute error = 8.881784197001252e-14 relative error = 7.972534600768062e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.069999999999989 y[1] (closed_form) = -11.12934254479324 y[1] (numeric) = -11.12934254479333 absolute error = 9.059419880941277e-14 relative error = 8.140121345424525e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.05999999999999 y[1] (closed_form) = -11.1182187650653 y[1] (numeric) = -11.11821876506539 absolute error = 8.881784197001252e-14 relative error = 7.988495625674164e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.049999999999991 y[1] (closed_form) = -11.10710610355704 y[1] (numeric) = -11.10710610355713 absolute error = 8.348877145181177e-14 relative error = 7.516698829866634e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.039999999999992 y[1] (closed_form) = -11.09600454915582 y[1] (numeric) = -11.0960045491559 absolute error = 8.348877145181177e-14 relative error = 7.52421928829901e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.029999999999994 y[1] (closed_form) = -11.08491409076007 y[1] (numeric) = -11.08491409076015 absolute error = 7.993605777301127e-14 relative error = 7.211247387081035e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.019999999999995 y[1] (closed_form) = -11.07383471727933 y[1] (numeric) = -11.07383471727941 absolute error = 7.815970093361102e-14 relative error = 7.058051969265228e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.009999999999996 y[1] (closed_form) = -11.06276641763423 y[1] (numeric) = -11.06276641763431 absolute error = 7.815970093361102e-14 relative error = 7.065113551437114e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9999999999999968 y[1] (closed_form) = -11.05170918075647 y[1] (numeric) = -11.05170918075655 absolute error = 7.638334409421077e-14 relative error = 6.911450785115796e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9899999999999968 y[1] (closed_form) = -11.04066299558881 y[1] (numeric) = -11.04066299558889 absolute error = 7.815970093361102e-14 relative error = 7.079257918191954e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9799999999999968 y[1] (closed_form) = -11.02962785108507 y[1] (numeric) = -11.02962785108515 absolute error = 7.638334409421077e-14 relative error = 6.925287518807475e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9699999999999968 y[1] (closed_form) = -11.0186037362101 y[1] (numeric) = -11.01860373621018 absolute error = 7.460698725481052e-14 relative error = 6.771001938261184e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9599999999999967 y[1] (closed_form) = -11.00759063993979 y[1] (numeric) = -11.00759063993986 absolute error = 7.460698725481052e-14 relative error = 6.777776326829197e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9499999999999967 y[1] (closed_form) = -10.99658855126103 y[1] (numeric) = -10.9965885512611 absolute error = 7.460698725481052e-14 relative error = 6.7845574931741e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9399999999999967 y[1] (closed_form) = -10.98559745917173 y[1] (numeric) = -10.98559745917181 absolute error = 7.638334409421077e-14 relative error = 6.953044145126517e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9299999999999967 y[1] (closed_form) = -10.97461735268082 y[1] (numeric) = -10.97461735268089 absolute error = 7.638334409421077e-14 relative error = 6.960000666952846e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9199999999999967 y[1] (closed_form) = -10.96364822080817 y[1] (numeric) = -10.96364822080824 absolute error = 7.638334409421077e-14 relative error = 6.966964148780423e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9099999999999967 y[1] (closed_form) = -10.95269005258465 y[1] (numeric) = -10.95269005258473 absolute error = 7.638334409421077e-14 relative error = 6.97393459757273e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8999999999999967 y[1] (closed_form) = -10.9417428370521 y[1] (numeric) = -10.94174283705218 absolute error = 7.638334409421077e-14 relative error = 6.980912020300214e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8899999999999967 y[1] (closed_form) = -10.9308065632633 y[1] (numeric) = -10.93080656326338 absolute error = 7.815970093361102e-14 relative error = 7.150405643101703e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8799999999999967 y[1] (closed_form) = -10.91988122028197 y[1] (numeric) = -10.91988122028205 absolute error = 7.815970093361102e-14 relative error = 7.157559625139659e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8699999999999967 y[1] (closed_form) = -10.90896679718277 y[1] (numeric) = -10.90896679718285 absolute error = 7.815970093361102e-14 relative error = 7.164720764737837e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8599999999999967 y[1] (closed_form) = -10.89806328305128 y[1] (numeric) = -10.89806328305136 absolute error = 7.638334409421077e-14 relative error = 7.008891590215162e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8499999999999966 y[1] (closed_form) = -10.88717066698398 y[1] (numeric) = -10.88717066698406 absolute error = 7.638334409421077e-14 relative error = 7.015903987419613e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8399999999999966 y[1] (closed_form) = -10.87628893808826 y[1] (numeric) = -10.87628893808833 absolute error = 7.638334409421077e-14 relative error = 7.022923400528635e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8299999999999966 y[1] (closed_form) = -10.86541808548238 y[1] (numeric) = -10.86541808548245 absolute error = 7.638334409421077e-14 relative error = 7.029949836561645e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8199999999999966 y[1] (closed_form) = -10.85455809829549 y[1] (numeric) = -10.85455809829556 absolute error = 7.815970093361102e-14 relative error = 7.200634077022868e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8099999999999966 y[1] (closed_form) = -10.8437089656676 y[1] (numeric) = -10.84370896566768 absolute error = 7.638334409421077e-14 relative error = 7.044023805512395e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7999999999999966 y[1] (closed_form) = -10.83287067674958 y[1] (numeric) = -10.83287067674966 absolute error = 7.815970093361102e-14 relative error = 7.215049756050716e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7899999999999966 y[1] (closed_form) = -10.82204322070314 y[1] (numeric) = -10.82204322070322 absolute error = 7.815970093361102e-14 relative error = 7.222268414534454e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7799999999999966 y[1] (closed_form) = -10.81122658670083 y[1] (numeric) = -10.8112265867009 absolute error = 7.638334409421077e-14 relative error = 7.065187606757952e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7699999999999966 y[1] (closed_form) = -10.800420763926 y[1] (numeric) = -10.80042076392608 absolute error = 7.815970093361102e-14 relative error = 7.23672740553486e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7599999999999966 y[1] (closed_form) = -10.78962574157283 y[1] (numeric) = -10.78962574157291 absolute error = 7.638334409421077e-14 relative error = 7.079332121771645e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7499999999999966 y[1] (closed_form) = -10.77884150884631 y[1] (numeric) = -10.77884150884639 absolute error = 7.638334409421077e-14 relative error = 7.086414994739661e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7399999999999965 y[1] (closed_form) = -10.76806805496219 y[1] (numeric) = -10.76806805496227 absolute error = 7.638334409421077e-14 relative error = 7.093504954123263e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7299999999999965 y[1] (closed_form) = -10.75730536914703 y[1] (numeric) = -10.75730536914711 absolute error = 7.460698725481052e-14 relative error = 6.935471727779562e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7199999999999965 y[1] (closed_form) = -10.74655344063813 y[1] (numeric) = -10.74655344063821 absolute error = 7.638334409421077e-14 relative error = 7.107706160504156e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7099999999999965 y[1] (closed_form) = -10.73581225868357 y[1] (numeric) = -10.73581225868364 absolute error = 7.460698725481052e-14 relative error = 6.949356551430499e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6999999999999965 y[1] (closed_form) = -10.72508181254216 y[1] (numeric) = -10.72508181254224 absolute error = 7.460698725481052e-14 relative error = 6.956309383818719e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6899999999999965 y[1] (closed_form) = -10.71436209148346 y[1] (numeric) = -10.71436209148353 absolute error = 7.460698725481052e-14 relative error = 6.963269172516905e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6799999999999965 y[1] (closed_form) = -10.70365308478774 y[1] (numeric) = -10.70365308478782 absolute error = 7.638334409421077e-14 relative error = 7.136193922686864e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6699999999999965 y[1] (closed_form) = -10.692954781746 y[1] (numeric) = -10.69295478174608 absolute error = 7.815970093361102e-14 relative error = 7.309457725103063e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6599999999999965 y[1] (closed_form) = -10.68226717165993 y[1] (numeric) = -10.68226717166001 absolute error = 7.638334409421077e-14 relative error = 7.150480592439766e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6499999999999965 y[1] (closed_form) = -10.67159024384192 y[1] (numeric) = -10.671590243842 absolute error = 7.638334409421077e-14 relative error = 7.157634649464548e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6399999999999965 y[1] (closed_form) = -10.66092398761505 y[1] (numeric) = -10.66092398761512 absolute error = 7.638334409421077e-14 relative error = 7.164795864124575e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6299999999999965 y[1] (closed_form) = -10.65026839231305 y[1] (numeric) = -10.65026839231313 absolute error = 7.460698725481052e-14 relative error = 7.005174377451269e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6199999999999964 y[1] (closed_form) = -10.63962344728033 y[1] (numeric) = -10.63962344728041 absolute error = 7.815970093361102e-14 relative error = 7.346096534421054e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6099999999999964 y[1] (closed_form) = -10.62898914187195 y[1] (numeric) = -10.62898914187203 absolute error = 7.638334409421077e-14 relative error = 7.186322525564114e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5999999999999964 y[1] (closed_form) = -10.61836546545359 y[1] (numeric) = -10.61836546545367 absolute error = 7.460698725481052e-14 relative error = 7.026221455415264e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5899999999999964 y[1] (closed_form) = -10.60775240740158 y[1] (numeric) = -10.60775240740166 absolute error = 7.815970093361102e-14 relative error = 7.368167914540964e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5799999999999964 y[1] (closed_form) = -10.59714995710287 y[1] (numeric) = -10.59714995710295 absolute error = 7.460698725481052e-14 relative error = 7.040287960141987e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5699999999999964 y[1] (closed_form) = -10.586558103955 y[1] (numeric) = -10.58655810395507 absolute error = 7.460698725481052e-14 relative error = 7.047331769419783e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5599999999999964 y[1] (closed_form) = -10.57597683736611 y[1] (numeric) = -10.57597683736618 absolute error = 7.460698725481052e-14 relative error = 7.054382626029937e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5499999999999964 y[1] (closed_form) = -10.56540614675494 y[1] (numeric) = -10.56540614675501 absolute error = 7.638334409421077e-14 relative error = 7.229570073619098e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5399999999999964 y[1] (closed_form) = -10.5548460215508 y[1] (numeric) = -10.55484602155087 absolute error = 7.460698725481052e-14 relative error = 7.068505509457797e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5299999999999964 y[1] (closed_form) = -10.54429645119356 y[1] (numeric) = -10.54429645119363 absolute error = 7.283063041541027e-14 relative error = 6.907111418246046e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5199999999999964 y[1] (closed_form) = -10.53375742513365 y[1] (numeric) = -10.53375742513372 absolute error = 7.283063041541027e-14 relative error = 6.914021984371474e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5099999999999963 y[1] (closed_form) = -10.52322893283204 y[1] (numeric) = -10.52322893283211 absolute error = 7.283063041541027e-14 relative error = 6.920939464519462e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4999999999999963 y[1] (closed_form) = -10.51271096376024 y[1] (numeric) = -10.51271096376031 absolute error = 7.638334409421077e-14 relative error = 7.265808444417615e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4899999999999963 y[1] (closed_form) = -10.50220350740028 y[1] (numeric) = -10.50220350740035 absolute error = 7.460698725481052e-14 relative error = 7.103936540768746e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4799999999999963 y[1] (closed_form) = -10.4917065532447 y[1] (numeric) = -10.49170655324478 absolute error = 7.460698725481052e-14 relative error = 7.111044030462071e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4699999999999963 y[1] (closed_form) = -10.48122009079655 y[1] (numeric) = -10.48122009079663 absolute error = 7.283063041541027e-14 relative error = 6.948678663790494e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4599999999999963 y[1] (closed_form) = -10.47074410956937 y[1] (numeric) = -10.47074410956944 absolute error = 7.283063041541027e-14 relative error = 6.955630817952018e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4499999999999963 y[1] (closed_form) = -10.46027859908716 y[1] (numeric) = -10.46027859908724 absolute error = 7.638334409421077e-14 relative error = 7.302228460805672e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4399999999999963 y[1] (closed_form) = -10.44982354888443 y[1] (numeric) = -10.44982354888451 absolute error = 7.638334409421077e-14 relative error = 7.30953434159805e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4299999999999963 y[1] (closed_form) = -10.43937894850612 y[1] (numeric) = -10.4393789485062 absolute error = 7.460698725481052e-14 relative error = 7.146688286996881e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4199999999999963 y[1] (closed_form) = -10.42894478750763 y[1] (numeric) = -10.4289447875077 absolute error = 6.927791673660977e-14 relative error = 6.642850081975187e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4099999999999963 y[1] (closed_form) = -10.41852105545479 y[1] (numeric) = -10.41852105545486 absolute error = 7.283063041541027e-14 relative error = 6.990496062517298e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3999999999999962 y[1] (closed_form) = -10.40810774192388 y[1] (numeric) = -10.40810774192395 absolute error = 6.750155989720952e-14 relative error = 6.48547858755469e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3899999999999962 y[1] (closed_form) = -10.39770483650157 y[1] (numeric) = -10.39770483650164 absolute error = 6.750155989720952e-14 relative error = 6.491967309962723e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3799999999999962 y[1] (closed_form) = -10.38731232878497 y[1] (numeric) = -10.38731232878504 absolute error = 6.572520305780927e-14 relative error = 6.327450352645484e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3699999999999962 y[1] (closed_form) = -10.37693020838157 y[1] (numeric) = -10.37693020838163 absolute error = 6.394884621840902e-14 relative error = 6.162597698378735e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3599999999999962 y[1] (closed_form) = -10.36655846490923 y[1] (numeric) = -10.3665584649093 absolute error = 6.394884621840902e-14 relative error = 6.168763378403319e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3499999999999962 y[1] (closed_form) = -10.35619708799623 y[1] (numeric) = -10.35619708799629 absolute error = 6.572520305780927e-14 relative error = 6.346461205724902e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3399999999999962 y[1] (closed_form) = -10.34584606728118 y[1] (numeric) = -10.34584606728124 absolute error = 6.394884621840902e-14 relative error = 6.181113250916015e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3299999999999962 y[1] (closed_form) = -10.33550539241305 y[1] (numeric) = -10.33550539241312 absolute error = 6.572520305780927e-14 relative error = 6.359166829524944e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3199999999999962 y[1] (closed_form) = -10.32517505305118 y[1] (numeric) = -10.32517505305125 absolute error = 6.750155989720952e-14 relative error = 6.537570506106066e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3099999999999962 y[1] (closed_form) = -10.31485503886522 y[1] (numeric) = -10.31485503886529 absolute error = 6.750155989720952e-14 relative error = 6.544111346487292e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2999999999999962 y[1] (closed_form) = -10.30454533953517 y[1] (numeric) = -10.30454533953523 absolute error = 6.572520305780927e-14 relative error = 6.378272974901978e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2899999999999961 y[1] (closed_form) = -10.29424594475131 y[1] (numeric) = -10.29424594475137 absolute error = 6.394884621840902e-14 relative error = 6.212096210020551e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2799999999999961 y[1] (closed_form) = -10.28395684421425 y[1] (numeric) = -10.28395684421431 absolute error = 6.394884621840902e-14 relative error = 6.218311413314284e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2699999999999961 y[1] (closed_form) = -10.27367802763489 y[1] (numeric) = -10.27367802763496 absolute error = 6.572520305780927e-14 relative error = 6.397436524778839e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2599999999999961 y[1] (closed_form) = -10.26340948473442 y[1] (numeric) = -10.26340948473448 absolute error = 6.572520305780927e-14 relative error = 6.403837161088386e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2499999999999961 y[1] (closed_form) = -10.25315120524428 y[1] (numeric) = -10.25315120524435 absolute error = 6.572520305780927e-14 relative error = 6.410244201235628e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2399999999999961 y[1] (closed_form) = -10.24290317890621 y[1] (numeric) = -10.24290317890628 absolute error = 6.927791673660977e-14 relative error = 6.763504011175044e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2299999999999961 y[1] (closed_form) = -10.23266539547217 y[1] (numeric) = -10.23266539547224 absolute error = 7.105427357601002e-14 relative error = 6.94386758775975e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2199999999999961 y[1] (closed_form) = -10.22243784470438 y[1] (numeric) = -10.22243784470445 absolute error = 7.283063041541027e-14 relative error = 7.124585301649879e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2099999999999961 y[1] (closed_form) = -10.21222051637528 y[1] (numeric) = -10.21222051637535 absolute error = 7.105427357601002e-14 relative error = 6.957769219933567e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1999999999999961 y[1] (closed_form) = -10.20201340026755 y[1] (numeric) = -10.20201340026763 absolute error = 7.283063041541027e-14 relative error = 7.13884873092798e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1899999999999961 y[1] (closed_form) = -10.19181648617408 y[1] (numeric) = -10.19181648617415 absolute error = 7.105427357601002e-14 relative error = 6.97169868319354e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1799999999999961 y[1] (closed_form) = -10.18162976389793 y[1] (numeric) = -10.18162976389801 absolute error = 7.105427357601002e-14 relative error = 6.978673868888315e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.169999999999996 y[1] (closed_form) = -10.1714532232524 y[1] (numeric) = -10.17145322325248 absolute error = 7.283063041541027e-14 relative error = 7.16029743408898e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.159999999999996 y[1] (closed_form) = -10.16128685406095 y[1] (numeric) = -10.16128685406102 absolute error = 7.105427357601002e-14 relative error = 6.992645183283382e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.149999999999996 y[1] (closed_form) = -10.15113064615719 y[1] (numeric) = -10.15113064615726 absolute error = 7.105427357601002e-14 relative error = 6.99964132595499e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.139999999999996 y[1] (closed_form) = -10.14098458938492 y[1] (numeric) = -10.14098458938499 absolute error = 6.750155989720952e-14 relative error = 6.656312244855081e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.129999999999996 y[1] (closed_form) = -10.13084867359809 y[1] (numeric) = -10.13084867359816 absolute error = 7.105427357601002e-14 relative error = 7.013654617227075e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.119999999999996 y[1] (closed_form) = -10.12072288866077 y[1] (numeric) = -10.12072288866084 absolute error = 6.750155989720952e-14 relative error = 6.669638190848803e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.109999999999996 y[1] (closed_form) = -10.11060722444719 y[1] (numeric) = -10.11060722444726 absolute error = 6.750155989720952e-14 relative error = 6.676311164970631e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.09999999999999598 y[1] (closed_form) = -10.10050167084168 y[1] (numeric) = -10.10050167084174 absolute error = 6.927791673660977e-14 relative error = 6.858858994756925e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.08999999999999597 y[1] (closed_form) = -10.09040621773867 y[1] (numeric) = -10.09040621773874 absolute error = 6.927791673660977e-14 relative error = 6.865721284324607e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.07999999999999596 y[1] (closed_form) = -10.08032085504273 y[1] (numeric) = -10.0803208550428 absolute error = 7.105427357601002e-14 relative error = 7.048810707296561e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.06999999999999595 y[1] (closed_form) = -10.07024557266848 y[1] (numeric) = -10.07024557266855 absolute error = 7.105427357601002e-14 relative error = 7.055863043584306e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.05999999999999595 y[1] (closed_form) = -10.06018036054065 y[1] (numeric) = -10.06018036054071 absolute error = 6.927791673660977e-14 relative error = 6.886349374842291e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.04999999999999594 y[1] (closed_form) = -10.05012520859401 y[1] (numeric) = -10.05012520859408 absolute error = 7.105427357601002e-14 relative error = 7.069988890810085e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.03999999999999593 y[1] (closed_form) = -10.04008010677341 y[1] (numeric) = -10.04008010677349 absolute error = 7.105427357601002e-14 relative error = 7.077062415873967e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.02999999999999592 y[1] (closed_form) = -10.03004504503377 y[1] (numeric) = -10.03004504503384 absolute error = 7.105427357601002e-14 relative error = 7.084143018000854e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.01999999999999591 y[1] (closed_form) = -10.02002001334 y[1] (numeric) = -10.02002001334007 absolute error = 7.105427357601002e-14 relative error = 7.09123070427135e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.009999999999995901 y[1] (closed_form) = -10.01000500166708 y[1] (numeric) = -10.01000500166715 absolute error = 7.105427357601002e-14 relative error = 7.098325481773142e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.100886297209172e-15 y[1] (closed_form) = -9.999999999999996 y[1] (numeric) = -10.00000000000007 absolute error = 7.283063041541027e-14 relative error = 7.28306304154103e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.0100000000000041 y[1] (closed_form) = -9.990004998333745 y[1] (numeric) = -9.990004998333818 absolute error = 7.283063041541027e-14 relative error = 7.290349747328239e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.02000000000000411 y[1] (closed_form) = -9.980019986673327 y[1] (numeric) = -9.980019986673401 absolute error = 7.460698725481052e-14 relative error = 7.475635054282042e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.03000000000000412 y[1] (closed_form) = -9.970044955033728 y[1] (numeric) = -9.970044955033799 absolute error = 7.105427357601002e-14 relative error = 7.126775646095334e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.04000000000000413 y[1] (closed_form) = -9.960079893439911 y[1] (numeric) = -9.960079893439984 absolute error = 7.283063041541027e-14 relative error = 7.31225363597528e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.05000000000000414 y[1] (closed_form) = -9.950124791926818 y[1] (numeric) = -9.950124791926891 absolute error = 7.283063041541027e-14 relative error = 7.319569546957087e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.06000000000000415 y[1] (closed_form) = -9.940179640539348 y[1] (numeric) = -9.940179640539423 absolute error = 7.460698725481052e-14 relative error = 7.505597479399516e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.07000000000000416 y[1] (closed_form) = -9.930244429332348 y[1] (numeric) = -9.930244429332426 absolute error = 7.815970093361102e-14 relative error = 7.870873822877896e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.08000000000000417 y[1] (closed_form) = -9.920319148370604 y[1] (numeric) = -9.920319148370682 absolute error = 7.815970093361102e-14 relative error = 7.878748633449824e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.09000000000000417 y[1] (closed_form) = -9.910403787728834 y[1] (numeric) = -9.910403787728916 absolute error = 8.171241461241152e-14 relative error = 8.245114564715182e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1000000000000042 y[1] (closed_form) = -9.900498337491676 y[1] (numeric) = -9.900498337491758 absolute error = 8.171241461241152e-14 relative error = 8.253363803211711e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1100000000000042 y[1] (closed_form) = -9.890602787753682 y[1] (numeric) = -9.890602787753766 absolute error = 8.348877145181177e-14 relative error = 8.441221758009093e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1200000000000042 y[1] (closed_form) = -9.880717128619303 y[1] (numeric) = -9.880717128619384 absolute error = 8.171241461241152e-14 relative error = 8.269887048555729e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1300000000000042 y[1] (closed_form) = -9.870841350202873 y[1] (numeric) = -9.870841350202955 absolute error = 8.171241461241152e-14 relative error = 8.278161071926468e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1400000000000042 y[1] (closed_form) = -9.860975442628614 y[1] (numeric) = -9.860975442628696 absolute error = 8.171241461241152e-14 relative error = 8.286443373458971e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1500000000000042 y[1] (closed_form) = -9.85111939603062 y[1] (numeric) = -9.851119396030702 absolute error = 8.171241461241152e-14 relative error = 8.294733961435537e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1600000000000042 y[1] (closed_form) = -9.841273200552848 y[1] (numeric) = -9.841273200552925 absolute error = 7.638334409421077e-14 relative error = 7.761530702137181e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1700000000000042 y[1] (closed_form) = -9.83143684634909 y[1] (numeric) = -9.831436846349167 absolute error = 7.638334409421077e-14 relative error = 7.769296114898584e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1800000000000042 y[1] (closed_form) = -9.821610323583004 y[1] (numeric) = -9.821610323583077 absolute error = 7.283063041541027e-14 relative error = 7.415345143609918e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1900000000000042 y[1] (closed_form) = -9.811793622428056 y[1] (numeric) = -9.811793622428132 absolute error = 7.638334409421077e-14 relative error = 7.784850256084853e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2000000000000043 y[1] (closed_form) = -9.801986733067549 y[1] (numeric) = -9.801986733067626 absolute error = 7.638334409421077e-14 relative error = 7.792639000063864e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2100000000000043 y[1] (closed_form) = -9.792189645694592 y[1] (numeric) = -9.79218964569467 absolute error = 7.815970093361102e-14 relative error = 7.981841014279795e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2200000000000043 y[1] (closed_form) = -9.782402350512095 y[1] (numeric) = -9.782402350512173 absolute error = 7.815970093361102e-14 relative error = 7.989826847545221e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2300000000000043 y[1] (closed_form) = -9.772624837732767 y[1] (numeric) = -9.772624837732842 absolute error = 7.460698725481052e-14 relative error = 7.634283367427335e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2400000000000043 y[1] (closed_form) = -9.762857097579088 y[1] (numeric) = -9.762857097579165 absolute error = 7.638334409421077e-14 relative error = 7.823871980380792e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2500000000000043 y[1] (closed_form) = -9.753099120283322 y[1] (numeric) = -9.753099120283398 absolute error = 7.638334409421077e-14 relative error = 7.831699765601467e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2600000000000043 y[1] (closed_form) = -9.74335089608749 y[1] (numeric) = -9.743350896087565 absolute error = 7.460698725481052e-14 relative error = 7.657220606184827e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2700000000000043 y[1] (closed_form) = -9.733612415243364 y[1] (numeric) = -9.733612415243439 absolute error = 7.460698725481052e-14 relative error = 7.664881656677837e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2800000000000043 y[1] (closed_form) = -9.723883668012466 y[1] (numeric) = -9.723883668012538 absolute error = 7.283063041541027e-14 relative error = 7.489870601289973e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2900000000000043 y[1] (closed_form) = -9.714164644666043 y[1] (numeric) = -9.714164644666118 absolute error = 7.460698725481052e-14 relative error = 7.680226759979461e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3000000000000043 y[1] (closed_form) = -9.704455335485079 y[1] (numeric) = -9.704455335485152 absolute error = 7.283063041541027e-14 relative error = 7.504865332225244e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3100000000000043 y[1] (closed_form) = -9.694755730760255 y[1] (numeric) = -9.694755730760329 absolute error = 7.460698725481052e-14 relative error = 7.695602584198365e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000043 y[1] (closed_form) = -9.685065820791971 y[1] (numeric) = -9.685065820792047 absolute error = 7.638334409421077e-14 relative error = 7.8867139891017e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3300000000000043 y[1] (closed_form) = -9.675385595890317 y[1] (numeric) = -9.675385595890392 absolute error = 7.460698725481052e-14 relative error = 7.711009190837864e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000044 y[1] (closed_form) = -9.665715046375063 y[1] (numeric) = -9.665715046375139 absolute error = 7.638334409421077e-14 relative error = 7.902503201028759e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3500000000000044 y[1] (closed_form) = -9.656054162575661 y[1] (numeric) = -9.656054162575735 absolute error = 7.460698725481052e-14 relative error = 7.726446641524411e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3600000000000044 y[1] (closed_form) = -9.646402934831226 y[1] (numeric) = -9.646402934831302 absolute error = 7.638334409421077e-14 relative error = 7.918324022979161e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3700000000000044 y[1] (closed_form) = -9.636761353490531 y[1] (numeric) = -9.636761353490602 absolute error = 7.105427357601002e-14 relative error = 7.37325237905507e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3800000000000044 y[1] (closed_form) = -9.627129408911991 y[1] (numeric) = -9.627129408912063 absolute error = 7.283063041541027e-14 relative error = 7.565145052271737e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3900000000000044 y[1] (closed_form) = -9.617507091463661 y[1] (numeric) = -9.617507091463736 absolute error = 7.460698725481052e-14 relative error = 7.757414322161554e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4000000000000044 y[1] (closed_form) = -9.607894391523228 y[1] (numeric) = -9.607894391523303 absolute error = 7.460698725481052e-14 relative error = 7.765175616484101e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4100000000000044 y[1] (closed_form) = -9.598291299477985 y[1] (numeric) = -9.59829129947806 absolute error = 7.460698725481052e-14 relative error = 7.772944675982913e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4200000000000044 y[1] (closed_form) = -9.588697805724841 y[1] (numeric) = -9.588697805724914 absolute error = 7.283063041541027e-14 relative error = 7.595466234416881e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4300000000000044 y[1] (closed_form) = -9.579113900670302 y[1] (numeric) = -9.579113900670377 absolute error = 7.460698725481052e-14 relative error = 7.788506121593342e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4400000000000044 y[1] (closed_form) = -9.569539574730463 y[1] (numeric) = -9.569539574730538 absolute error = 7.460698725481052e-14 relative error = 7.796298523266403e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000045 y[1] (closed_form) = -9.559974818330994 y[1] (numeric) = -9.559974818331069 absolute error = 7.460698725481052e-14 relative error = 7.804098721238641e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4600000000000045 y[1] (closed_form) = -9.550419621907141 y[1] (numeric) = -9.550419621907217 absolute error = 7.638334409421077e-14 relative error = 7.997904502436683e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4700000000000045 y[1] (closed_form) = -9.540873975903708 y[1] (numeric) = -9.540873975903786 absolute error = 7.815970093361102e-14 relative error = 8.192090277160146e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4800000000000045 y[1] (closed_form) = -9.531337870775044 y[1] (numeric) = -9.531337870775122 absolute error = 7.815970093361102e-14 relative error = 8.200286464848133e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4900000000000045 y[1] (closed_form) = -9.521811296985046 y[1] (numeric) = -9.521811296985122 absolute error = 7.638334409421077e-14 relative error = 8.021934242531831e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5000000000000044 y[1] (closed_form) = -9.512294245007137 y[1] (numeric) = -9.512294245007215 absolute error = 7.815970093361102e-14 relative error = 8.216703449289944e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5100000000000044 y[1] (closed_form) = -9.502786705324265 y[1] (numeric) = -9.502786705324345 absolute error = 7.993605777301127e-14 relative error = 8.41185435933486e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5200000000000045 y[1] (closed_form) = -9.493288668428891 y[1] (numeric) = -9.493288668428972 absolute error = 8.171241461241152e-14 relative error = 8.607387541490895e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5300000000000045 y[1] (closed_form) = -9.483800124822979 y[1] (numeric) = -9.483800124823059 absolute error = 7.993605777301127e-14 relative error = 8.428694902983663e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5400000000000045 y[1] (closed_form) = -9.47432106501798 y[1] (numeric) = -9.47432106501806 absolute error = 7.993605777301127e-14 relative error = 8.437127813639232e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000045 y[1] (closed_form) = -9.464851479534834 y[1] (numeric) = -9.46485147953492 absolute error = 8.526512829121202e-14 relative error = 9.008607105518207e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5600000000000045 y[1] (closed_form) = -9.455391358903958 y[1] (numeric) = -9.455391358904045 absolute error = 8.704148513061227e-14 relative error = 9.205487306313029e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5700000000000045 y[1] (closed_form) = -9.445940693665229 y[1] (numeric) = -9.445940693665316 absolute error = 8.704148513061227e-14 relative error = 9.214697397897625e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5800000000000045 y[1] (closed_form) = -9.436499474367981 y[1] (numeric) = -9.436499474368066 absolute error = 8.526512829121202e-14 relative error = 9.03567350613589e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5900000000000045 y[1] (closed_form) = -9.427067691570993 y[1] (numeric) = -9.427067691571077 absolute error = 8.348877145181177e-14 relative error = 8.856282163589578e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6000000000000045 y[1] (closed_form) = -9.417645335842483 y[1] (numeric) = -9.417645335842565 absolute error = 8.171241461241152e-14 relative error = 8.676522814192566e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6100000000000045 y[1] (closed_form) = -9.408232397760095 y[1] (numeric) = -9.408232397760173 absolute error = 7.815970093361102e-14 relative error = 8.307586125553108e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6200000000000045 y[1] (closed_form) = -9.398828867910886 y[1] (numeric) = -9.398828867910964 absolute error = 7.815970093361102e-14 relative error = 8.315897866856669e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6300000000000046 y[1] (closed_form) = -9.389434736891328 y[1] (numeric) = -9.389434736891408 absolute error = 7.993605777301127e-14 relative error = 8.513404695060126e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6400000000000046 y[1] (closed_form) = -9.380049995307289 y[1] (numeric) = -9.380049995307374 absolute error = 8.526512829121202e-14 relative error = 9.090050515068577e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6500000000000046 y[1] (closed_form) = -9.37067463377403 y[1] (numeric) = -9.370674633774117 absolute error = 8.704148513061227e-14 relative error = 9.288710635293544e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6600000000000046 y[1] (closed_form) = -9.361308642916184 y[1] (numeric) = -9.361308642916272 absolute error = 8.881784197001252e-14 relative error = 9.487759175339451e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6700000000000046 y[1] (closed_form) = -9.351952013367761 y[1] (numeric) = -9.351952013367852 absolute error = 9.059419880941277e-14 relative error = 9.687196713575588e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6800000000000046 y[1] (closed_form) = -9.342604735772129 y[1] (numeric) = -9.342604735772222 absolute error = 9.237055564881302e-14 relative error = 9.887023829139762e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6900000000000046 y[1] (closed_form) = -9.333266800782015 y[1] (numeric) = -9.333266800782106 absolute error = 9.059419880941277e-14 relative error = 9.70659049431889e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7000000000000046 y[1] (closed_form) = -9.323938199059478 y[1] (numeric) = -9.323938199059567 absolute error = 8.881784197001252e-14 relative error = 9.525786215418258e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7100000000000046 y[1] (closed_form) = -9.314618921275917 y[1] (numeric) = -9.314618921276006 absolute error = 8.881784197001252e-14 relative error = 9.535316766114814e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7200000000000046 y[1] (closed_form) = -9.305308958112054 y[1] (numeric) = -9.305308958112144 absolute error = 9.059419880941277e-14 relative error = 9.735753989171507e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7300000000000046 y[1] (closed_form) = -9.296008300257922 y[1] (numeric) = -9.296008300258013 absolute error = 9.059419880941277e-14 relative error = 9.745494612660705e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7400000000000047 y[1] (closed_form) = -9.286716938412866 y[1] (numeric) = -9.286716938412956 absolute error = 9.059419880941277e-14 relative error = 9.755244981645327e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7500000000000047 y[1] (closed_form) = -9.277434863285524 y[1] (numeric) = -9.27743486328561 absolute error = 8.526512829121202e-14 relative error = 9.190593040824228e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7600000000000047 y[1] (closed_form) = -9.268162065593817 y[1] (numeric) = -9.268162065593904 absolute error = 8.704148513061227e-14 relative error = 9.391450485499842e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7700000000000047 y[1] (closed_form) = -9.258898536064951 y[1] (numeric) = -9.258898536065038 absolute error = 8.704148513061227e-14 relative error = 9.400846633276215e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7800000000000047 y[1] (closed_form) = -9.249644265435389 y[1] (numeric) = -9.249644265435478 absolute error = 8.881784197001252e-14 relative error = 9.602298144795928e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7900000000000047 y[1] (closed_form) = -9.240399244450865 y[1] (numeric) = -9.240399244450954 absolute error = 8.881784197001252e-14 relative error = 9.611905245690579e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8000000000000047 y[1] (closed_form) = -9.231163463866354 y[1] (numeric) = -9.231163463866444 absolute error = 9.059419880941277e-14 relative error = 9.813952397661103e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8100000000000047 y[1] (closed_form) = -9.221936914446076 y[1] (numeric) = -9.221936914446164 absolute error = 8.881784197001252e-14 relative error = 9.631148292814736e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8200000000000047 y[1] (closed_form) = -9.212719586963482 y[1] (numeric) = -9.212719586963569 absolute error = 8.704148513061227e-14 relative error = 9.447968573121544e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8300000000000047 y[1] (closed_form) = -9.203511472201242 y[1] (numeric) = -9.203511472201329 absolute error = 8.704148513061227e-14 relative error = 9.457421267254008e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8400000000000047 y[1] (closed_form) = -9.194312560951243 y[1] (numeric) = -9.194312560951328 absolute error = 8.526512829121202e-14 relative error = 9.273681716383861e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8500000000000048 y[1] (closed_form) = -9.18512284401457 y[1] (numeric) = -9.185122844014654 absolute error = 8.348877145181177e-14 relative error = 9.089565035726955e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8600000000000048 y[1] (closed_form) = -9.175942312201505 y[1] (numeric) = -9.17594231220159 absolute error = 8.526512829121202e-14 relative error = 9.292247639551158e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8700000000000048 y[1] (closed_form) = -9.166770956331519 y[1] (numeric) = -9.166770956331604 absolute error = 8.526512829121202e-14 relative error = 9.301544534863623e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8800000000000048 y[1] (closed_form) = -9.157608767233253 y[1] (numeric) = -9.157608767233334 absolute error = 8.171241461241152e-14 relative error = 8.922898617899674e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8900000000000048 y[1] (closed_form) = -9.148455735744514 y[1] (numeric) = -9.148455735744598 absolute error = 8.348877145181177e-14 relative error = 9.125996109442546e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9000000000000048 y[1] (closed_form) = -9.139311852712277 y[1] (numeric) = -9.13931185271236 absolute error = 8.348877145181177e-14 relative error = 9.135126670071421e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9100000000000048 y[1] (closed_form) = -9.130177108992655 y[1] (numeric) = -9.130177108992738 absolute error = 8.348877145181177e-14 relative error = 9.144266365827729e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9200000000000048 y[1] (closed_form) = -9.121051495450899 y[1] (numeric) = -9.121051495450985 absolute error = 8.526512829121202e-14 relative error = 9.348168720869274e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9300000000000048 y[1] (closed_form) = -9.111935002961399 y[1] (numeric) = -9.11193500296149 absolute error = 9.059419880941277e-14 relative error = 9.942366663059983e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9400000000000048 y[1] (closed_form) = -9.102827622407665 y[1] (numeric) = -9.102827622407753 absolute error = 8.881784197001252e-14 relative error = 9.757170590748869e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9500000000000048 y[1] (closed_form) = -9.093729344682311 y[1] (numeric) = -9.093729344682398 absolute error = 8.704148513061227e-14 relative error = 9.571593988720483e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9600000000000048 y[1] (closed_form) = -9.084640160687057 y[1] (numeric) = -9.084640160687146 absolute error = 8.881784197001252e-14 relative error = 9.776704459287617e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9700000000000049 y[1] (closed_form) = -9.075560061332721 y[1] (numeric) = -9.07556006133281 absolute error = 8.881784197001252e-14 relative error = 9.786486053728992e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9800000000000049 y[1] (closed_form) = -9.066489037539204 y[1] (numeric) = -9.066489037539295 absolute error = 9.059419880941277e-14 relative error = 9.992202983350381e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9900000000000049 y[1] (closed_form) = -9.057427080235481 y[1] (numeric) = -9.057427080235573 absolute error = 9.237055564881302e-14 relative error = 1.019832175633828e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.000000000000005 y[1] (closed_form) = -9.048374180359591 y[1] (numeric) = -9.048374180359684 absolute error = 9.237055564881302e-14 relative error = 1.020852517895564e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.010000000000004 y[1] (closed_form) = -9.039330328858638 y[1] (numeric) = -9.03933032885873 absolute error = 9.237055564881302e-14 relative error = 1.021873881009903e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.020000000000003 y[1] (closed_form) = -9.030295516688765 y[1] (numeric) = -9.030295516688856 absolute error = 9.059419880941277e-14 relative error = 1.003225183959781e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.030000000000002 y[1] (closed_form) = -9.021269734815164 y[1] (numeric) = -9.021269734815252 absolute error = 8.881784197001252e-14 relative error = 9.845381479642933e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (closed_form) = -9.012252974212046 y[1] (numeric) = -9.012252974212137 absolute error = 9.059419880941277e-14 relative error = 1.005233642116372e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999999 y[1] (closed_form) = -9.003245225862656 y[1] (numeric) = -9.003245225862745 absolute error = 8.881784197001252e-14 relative error = 9.865091946498919e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.059999999999998 y[1] (closed_form) = -8.994246480759243 y[1] (numeric) = -8.994246480759333 absolute error = 9.059419880941277e-14 relative error = 1.00724612120887e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.069999999999997 y[1] (closed_form) = -8.985256729903057 y[1] (numeric) = -8.985256729903147 absolute error = 9.059419880941277e-14 relative error = 1.008253871121056e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.079999999999996 y[1] (closed_form) = -8.976275964304353 y[1] (numeric) = -8.97627596430444 absolute error = 8.704148513061227e-14 relative error = 9.69683702648483e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.089999999999995 y[1] (closed_form) = -8.967304174982358 y[1] (numeric) = -8.967304174982447 absolute error = 8.881784197001252e-14 relative error = 9.904631340353441e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.099999999999994 y[1] (closed_form) = -8.958341352965288 y[1] (numeric) = -8.958341352965375 absolute error = 8.704148513061227e-14 relative error = 9.716250107147434e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.109999999999993 y[1] (closed_form) = -8.949387489290316 y[1] (numeric) = -8.9493874892904 absolute error = 8.348877145181177e-14 relative error = 9.32899279997903e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999992 y[1] (closed_form) = -8.94044257500358 y[1] (numeric) = -8.940442575003662 absolute error = 8.171241461241152e-14 relative error = 9.139638661834232e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999991 y[1] (closed_form) = -8.931506601160162 y[1] (numeric) = -8.931506601160244 absolute error = 8.171241461241152e-14 relative error = 9.148782871839052e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999989 y[1] (closed_form) = -8.922579558824093 y[1] (numeric) = -8.92257955882417 absolute error = 7.638334409421077e-14 relative error = 8.560679519934405e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999988 y[1] (closed_form) = -8.913661439068324 y[1] (numeric) = -8.913661439068401 absolute error = 7.638334409421077e-14 relative error = 8.569244481221235e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.159999999999987 y[1] (closed_form) = -8.904752232974737 y[1] (numeric) = -8.904752232974811 absolute error = 7.460698725481052e-14 relative error = 8.378333871945046e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.169999999999986 y[1] (closed_form) = -8.895851931634125 y[1] (numeric) = -8.895851931634198 absolute error = 7.283063041541027e-14 relative error = 8.187032672657315e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.179999999999985 y[1] (closed_form) = -8.886960526146186 y[1] (numeric) = -8.886960526146261 absolute error = 7.460698725481052e-14 relative error = 8.395107307533378e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.189999999999984 y[1] (closed_form) = -8.878078007619514 y[1] (numeric) = -8.878078007619589 absolute error = 7.460698725481052e-14 relative error = 8.403506613794098e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.199999999999983 y[1] (closed_form) = -8.869204367171591 y[1] (numeric) = -8.869204367171665 absolute error = 7.460698725481052e-14 relative error = 8.411914323562132e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999982 y[1] (closed_form) = -8.860339595928773 y[1] (numeric) = -8.860339595928844 absolute error = 7.105427357601002e-14 relative error = 8.019362328804944e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.219999999999981 y[1] (closed_form) = -8.851483685026288 y[1] (numeric) = -8.851483685026359 absolute error = 7.105427357601002e-14 relative error = 8.027385702151808e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.22999999999998 y[1] (closed_form) = -8.842636625608227 y[1] (numeric) = -8.842636625608295 absolute error = 6.750155989720952e-14 relative error = 7.63364624774079e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.239999999999978 y[1] (closed_form) = -8.833798408827528 y[1] (numeric) = -8.833798408827596 absolute error = 6.750155989720952e-14 relative error = 7.641283712084246e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.249999999999977 y[1] (closed_form) = -8.824969025845974 y[1] (numeric) = -8.824969025846041 absolute error = 6.750155989720952e-14 relative error = 7.648928817712051e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.259999999999976 y[1] (closed_form) = -8.816148467834179 y[1] (numeric) = -8.81614846783425 absolute error = 7.105427357601002e-14 relative error = 8.059559549757173e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.269999999999975 y[1] (closed_form) = -8.807336725971592 y[1] (numeric) = -8.807336725971656 absolute error = 6.394884621840902e-14 relative error = 7.260860826387267e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.279999999999974 y[1] (closed_form) = -8.798533791446459 y[1] (numeric) = -8.798533791446525 absolute error = 6.572520305780927e-14 relative error = 7.470017688822695e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.289999999999973 y[1] (closed_form) = -8.789739655455854 y[1] (numeric) = -8.789739655455918 absolute error = 6.394884621840902e-14 relative error = 7.275397079447685e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999972 y[1] (closed_form) = -8.780954309205638 y[1] (numeric) = -8.780954309205699 absolute error = 6.039613253960852e-14 relative error = 6.878082997914176e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.309999999999971 y[1] (closed_form) = -8.772177743910461 y[1] (numeric) = -8.772177743910522 absolute error = 6.039613253960852e-14 relative error = 6.884964521100222e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.31999999999997 y[1] (closed_form) = -8.76340995079376 y[1] (numeric) = -8.76340995079382 absolute error = 6.039613253960852e-14 relative error = 6.891852929251364e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.329999999999969 y[1] (closed_form) = -8.754650921087739 y[1] (numeric) = -8.754650921087796 absolute error = 5.684341886080801e-14 relative error = 6.492939509888007e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999967 y[1] (closed_form) = -8.74590064603337 y[1] (numeric) = -8.745900646033423 absolute error = 5.329070518200751e-14 relative error = 6.093220965890696e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.349999999999966 y[1] (closed_form) = -8.737159116880374 y[1] (numeric) = -8.737159116880424 absolute error = 4.973799150320701e-14 relative error = 5.692696085517337e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.359999999999965 y[1] (closed_form) = -8.728426324887224 y[1] (numeric) = -8.728426324887272 absolute error = 4.796163466380676e-14 relative error = 5.494877642153491e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.369999999999964 y[1] (closed_form) = -8.719702261321126 y[1] (numeric) = -8.719702261321174 absolute error = 4.796163466380676e-14 relative error = 5.500375268150506e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.379999999999963 y[1] (closed_form) = -8.710986917458015 y[1] (numeric) = -8.710986917458063 absolute error = 4.796163466380676e-14 relative error = 5.505878394523249e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.389999999999962 y[1] (closed_form) = -8.70228028458255 y[1] (numeric) = -8.702280284582598 absolute error = 4.796163466380676e-14 relative error = 5.511387026774845e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.399999999999961 y[1] (closed_form) = -8.693582353988091 y[1] (numeric) = -8.693582353988141 absolute error = 4.973799150320701e-14 relative error = 5.721230843392221e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.40999999999996 y[1] (closed_form) = -8.684893116976713 y[1] (numeric) = -8.684893116976761 absolute error = 4.796163466380676e-14 relative error = 5.522420830954638e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.419999999999959 y[1] (closed_form) = -8.676212564859174 y[1] (numeric) = -8.676212564859224 absolute error = 4.973799150320701e-14 relative error = 5.732684755172815e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999958 y[1] (closed_form) = -8.667540688954926 y[1] (numeric) = -8.667540688954972 absolute error = 4.618527782440651e-14 relative error = 5.328533142424189e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.439999999999956 y[1] (closed_form) = -8.658877480592087 y[1] (numeric) = -8.658877480592132 absolute error = 4.440892098500626e-14 relative error = 5.128715712232207e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.449999999999955 y[1] (closed_form) = -8.65022293110745 y[1] (numeric) = -8.650222931107493 absolute error = 4.263256414560601e-14 relative error = 4.928493113431002e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.459999999999954 y[1] (closed_form) = -8.641577031846467 y[1] (numeric) = -8.641577031846507 absolute error = 4.085620730620576e-14 relative error = 4.727864735295418e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.469999999999953 y[1] (closed_form) = -8.632939774163233 y[1] (numeric) = -8.632939774163273 absolute error = 3.907985046680551e-14 relative error = 4.52682996628381e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.479999999999952 y[1] (closed_form) = -8.624311149420496 y[1] (numeric) = -8.624311149420533 absolute error = 3.730349362740526e-14 relative error = 4.325388194037021e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.489999999999951 y[1] (closed_form) = -8.615691148989626 y[1] (numeric) = -8.615691148989663 absolute error = 3.730349362740526e-14 relative error = 4.329715745646232e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.49999999999995 y[1] (closed_form) = -8.607079764250621 y[1] (numeric) = -8.60707976425066 absolute error = 3.907985046680551e-14 relative error = 4.540430847303529e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999949 y[1] (closed_form) = -8.598476986592098 y[1] (numeric) = -8.598476986592136 absolute error = 3.730349362740526e-14 relative error = 4.338383842344857e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.519999999999948 y[1] (closed_form) = -8.589882807411279 y[1] (numeric) = -8.589882807411319 absolute error = 4.085620730620576e-14 relative error = 4.756317195731165e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.529999999999947 y[1] (closed_form) = -8.581297218113983 y[1] (numeric) = -8.581297218114024 absolute error = 4.085620730620576e-14 relative error = 4.761075891878411e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.539999999999945 y[1] (closed_form) = -8.572720210114621 y[1] (numeric) = -8.57272021011466 absolute error = 3.907985046680551e-14 relative error = 4.558628942619252e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.549999999999944 y[1] (closed_form) = -8.564151774836182 y[1] (numeric) = -8.564151774836224 absolute error = 4.263256414560601e-14 relative error = 4.978025292694151e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.559999999999943 y[1] (closed_form) = -8.555591903710233 y[1] (numeric) = -8.555591903710276 absolute error = 4.263256414560601e-14 relative error = 4.983005807829368e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.569999999999942 y[1] (closed_form) = -8.5470405881769 y[1] (numeric) = -8.547040588176941 absolute error = 4.085620730620576e-14 relative error = 4.780158334888693e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.579999999999941 y[1] (closed_form) = -8.538497819684867 y[1] (numeric) = -8.538497819684908 absolute error = 4.085620730620576e-14 relative error = 4.784940884099641e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.58999999999994 y[1] (closed_form) = -8.529963589691366 y[1] (numeric) = -8.529963589691405 absolute error = 3.907985046680551e-14 relative error = 4.581479165284398e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.599999999999939 y[1] (closed_form) = -8.521437889662165 y[1] (numeric) = -8.521437889662201 absolute error = 3.552713678800501e-14 relative error = 4.169148123593669e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.609999999999938 y[1] (closed_form) = -8.512920711071565 y[1] (numeric) = -8.512920711071597 absolute error = 3.197442310920451e-14 relative error = 3.75598742128772e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.619999999999937 y[1] (closed_form) = -8.504412045402384 y[1] (numeric) = -8.504412045402415 absolute error = 3.019806626980426e-14 relative error = 3.550870549143935e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.629999999999936 y[1] (closed_form) = -8.495911884145958 y[1] (numeric) = -8.495911884145988 absolute error = 3.019806626980426e-14 relative error = 3.554423195720313e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.639999999999934 y[1] (closed_form) = -8.487420218802121 y[1] (numeric) = -8.487420218802152 absolute error = 3.019806626980426e-14 relative error = 3.557979396720183e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.649999999999933 y[1] (closed_form) = -8.478937040879213 y[1] (numeric) = -8.478937040879245 absolute error = 3.197442310920451e-14 relative error = 3.771041458976202e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.659999999999932 y[1] (closed_form) = -8.470462341894056 y[1] (numeric) = -8.470462341894084 absolute error = 2.842170943040401e-14 relative error = 3.355390565852951e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.669999999999931 y[1] (closed_form) = -8.461996113371942 y[1] (numeric) = -8.461996113371971 absolute error = 2.842170943040401e-14 relative error = 3.358747634673458e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.67999999999993 y[1] (closed_form) = -8.453538346846646 y[1] (numeric) = -8.453538346846672 absolute error = 2.664535259100376e-14 relative error = 3.151976308351763e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.689999999999929 y[1] (closed_form) = -8.445089033860404 y[1] (numeric) = -8.445089033860429 absolute error = 2.486899575160351e-14 relative error = 2.944787870428814e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.699999999999928 y[1] (closed_form) = -8.436648165963899 y[1] (numeric) = -8.436648165963922 absolute error = 2.309263891220326e-14 relative error = 2.737181693242376e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.709999999999927 y[1] (closed_form) = -8.428215734716263 y[1] (numeric) = -8.428215734716288 absolute error = 2.486899575160351e-14 relative error = 2.950683339673759e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.719999999999926 y[1] (closed_form) = -8.419791731685061 y[1] (numeric) = -8.419791731685084 absolute error = 2.309263891220326e-14 relative error = 2.742661534643649e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.729999999999924 y[1] (closed_form) = -8.411376148446296 y[1] (numeric) = -8.411376148446317 absolute error = 2.131628207280301e-14 relative error = 2.53422052427657e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.739999999999923 y[1] (closed_form) = -8.402968976584379 y[1] (numeric) = -8.402968976584399 absolute error = 1.953992523340276e-14 relative error = 2.325359677972452e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.749999999999922 y[1] (closed_form) = -8.394570207692141 y[1] (numeric) = -8.394570207692158 absolute error = 1.77635683940025e-14 relative error = 2.116078364289018e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.759999999999921 y[1] (closed_form) = -8.386179833370806 y[1] (numeric) = -8.386179833370825 absolute error = 1.953992523340276e-14 relative error = 2.330015051149783e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.76999999999992 y[1] (closed_form) = -8.377797845230004 y[1] (numeric) = -8.377797845230026 absolute error = 2.131628207280301e-14 relative error = 2.544377707196608e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.779999999999919 y[1] (closed_form) = -8.369424234887751 y[1] (numeric) = -8.369424234887768 absolute error = 1.77635683940025e-14 relative error = 2.122436131264022e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.789999999999918 y[1] (closed_form) = -8.361058993970424 y[1] (numeric) = -8.361058993970444 absolute error = 1.953992523340276e-14 relative error = 2.337015591863897e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.799999999999917 y[1] (closed_form) = -8.352702114112789 y[1] (numeric) = -8.352702114112811 absolute error = 2.131628207280301e-14 relative error = 2.552022301476172e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.809999999999916 y[1] (closed_form) = -8.344353586957967 y[1] (numeric) = -8.344353586957988 absolute error = 2.131628207280301e-14 relative error = 2.554575600214241e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.819999999999915 y[1] (closed_form) = -8.336013404157423 y[1] (numeric) = -8.336013404157445 absolute error = 2.131628207280301e-14 relative error = 2.557131453528125e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.829999999999913 y[1] (closed_form) = -8.327681557370981 y[1] (numeric) = -8.327681557371003 absolute error = 2.131628207280301e-14 relative error = 2.559689863973675e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.839999999999912 y[1] (closed_form) = -8.31935803826679 y[1] (numeric) = -8.319358038266811 absolute error = 2.131628207280301e-14 relative error = 2.562250834109301e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.849999999999911 y[1] (closed_form) = -8.311042838521329 y[1] (numeric) = -8.311042838521352 absolute error = 2.309263891220326e-14 relative error = 2.778548897037308e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.85999999999991 y[1] (closed_form) = -8.3027359498194 y[1] (numeric) = -8.302735949819423 absolute error = 2.309263891220326e-14 relative error = 2.781328835672001e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.869999999999909 y[1] (closed_form) = -8.294437363854115 y[1] (numeric) = -8.294437363854135 absolute error = 1.953992523340276e-14 relative error = 2.355786700922566e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.879999999999908 y[1] (closed_form) = -8.286147072326882 y[1] (numeric) = -8.286147072326902 absolute error = 1.953992523340276e-14 relative error = 2.358143665909569e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.889999999999907 y[1] (closed_form) = -8.277865066947413 y[1] (numeric) = -8.277865066947433 absolute error = 1.953992523340276e-14 relative error = 2.360502989040433e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.899999999999906 y[1] (closed_form) = -8.269591339433703 y[1] (numeric) = -8.269591339433722 absolute error = 1.953992523340276e-14 relative error = 2.362864672674483e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.909999999999905 y[1] (closed_form) = -8.261325881512017 y[1] (numeric) = -8.261325881512038 absolute error = 2.131628207280301e-14 relative error = 2.580249511825531e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.919999999999904 y[1] (closed_form) = -8.253068684916904 y[1] (numeric) = -8.253068684916922 absolute error = 1.77635683940025e-14 relative error = 2.152359209910217e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.929999999999902 y[1] (closed_form) = -8.244819741391163 y[1] (numeric) = -8.244819741391181 absolute error = 1.77635683940025e-14 relative error = 2.154512645658549e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.939999999999901 y[1] (closed_form) = -8.23657904268585 y[1] (numeric) = -8.236579042685866 absolute error = 1.598721155460225e-14 relative error = 1.941001412327734e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9499999999999 y[1] (closed_form) = -8.228346580560267 y[1] (numeric) = -8.228346580560281 absolute error = 1.4210854715202e-14 relative error = 1.727060786279422e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999899 y[1] (closed_form) = -8.220122346781949 y[1] (numeric) = -8.220122346781963 absolute error = 1.4210854715202e-14 relative error = 1.728788710884009e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999898 y[1] (closed_form) = -8.211906333126663 y[1] (numeric) = -8.211906333126676 absolute error = 1.243449787580175e-14 relative error = 1.514203568742771e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999897 y[1] (closed_form) = -8.203698531378395 y[1] (numeric) = -8.203698531378405 absolute error = 1.06581410364015e-14 relative error = 1.299187311142053e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999896 y[1] (closed_form) = -8.195498933329342 y[1] (numeric) = -8.195498933329354 absolute error = 1.243449787580175e-14 relative error = 1.517235006307341e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999895 y[1] (closed_form) = -8.187307530779904 y[1] (numeric) = -8.18730753077992 absolute error = 1.598721155460225e-14 relative error = 1.952682428808113e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.009999999999894 y[1] (closed_form) = -8.179124315538681 y[1] (numeric) = -8.179124315538695 absolute error = 1.4210854715202e-14 relative error = 1.737454300358812e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999893 y[1] (closed_form) = -8.170949279422455 y[1] (numeric) = -8.170949279422469 absolute error = 1.4210854715202e-14 relative error = 1.739192623675968e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999891 y[1] (closed_form) = -8.162782414256188 y[1] (numeric) = -8.162782414256203 absolute error = 1.4210854715202e-14 relative error = 1.740932686185894e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.03999999999989 y[1] (closed_form) = -8.154623711873016 y[1] (numeric) = -8.154623711873032 absolute error = 1.598721155460225e-14 relative error = 1.960508800832232e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999889 y[1] (closed_form) = -8.146473164114237 y[1] (numeric) = -8.146473164114248 absolute error = 1.06581410364015e-14 relative error = 1.308313526809532e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999888 y[1] (closed_form) = -8.138330762829298 y[1] (numeric) = -8.138330762829312 absolute error = 1.4210854715202e-14 relative error = 1.746163326281615e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999887 y[1] (closed_form) = -8.130196499875801 y[1] (numeric) = -8.130196499875815 absolute error = 1.4210854715202e-14 relative error = 1.74791036298066e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.079999999999886 y[1] (closed_form) = -8.122070367119482 y[1] (numeric) = -8.122070367119498 absolute error = 1.598721155460225e-14 relative error = 1.96836654103899e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.089999999999885 y[1] (closed_form) = -8.113952356434206 y[1] (numeric) = -8.11395235643422 absolute error = 1.4210854715202e-14 relative error = 1.75140968185906e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.099999999999884 y[1] (closed_form) = -8.105842459701966 y[1] (numeric) = -8.105842459701975 absolute error = 8.881784197001252e-15 relative error = 1.095726229711084e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999883 y[1] (closed_form) = -8.097740668812857 y[1] (numeric) = -8.097740668812866 absolute error = 8.881784197001252e-15 relative error = 1.096822503986576e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999882 y[1] (closed_form) = -8.089646975665094 y[1] (numeric) = -8.089646975665097 absolute error = 3.552713678800501e-15 relative error = 4.391679500338657e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.12999999999988 y[1] (closed_form) = -8.08156137216498 y[1] (numeric) = -8.081561372164982 absolute error = 1.77635683940025e-15 relative error = 2.198036688205438e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.139999999999879 y[1] (closed_form) = -8.073483850226912 y[1] (numeric) = -8.073483850226912 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.149999999999878 y[1] (closed_form) = -8.065414401773367 y[1] (numeric) = -8.065414401773365 absolute error = 1.77635683940025e-15 relative error = 2.202437160587406e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.159999999999877 y[1] (closed_form) = -8.057353018734897 y[1] (numeric) = -8.057353018734895 absolute error = 1.77635683940025e-15 relative error = 2.204640699333737e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.169999999999876 y[1] (closed_form) = -8.049299693050113 y[1] (numeric) = -8.049299693050115 absolute error = 1.77635683940025e-15 relative error = 2.206846442720954e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.179999999999875 y[1] (closed_form) = -8.041254416665696 y[1] (numeric) = -8.041254416665693 absolute error = 3.552713678800501e-15 relative error = 4.418108785909591e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.189999999999874 y[1] (closed_form) = -8.033217181536367 y[1] (numeric) = -8.03321718153636 absolute error = 7.105427357601002e-15 relative error = 8.845058208972855e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.199999999999873 y[1] (closed_form) = -8.025187979624887 y[1] (numeric) = -8.02518797962488 absolute error = 7.105427357601002e-15 relative error = 8.853907691185477e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.209999999999872 y[1] (closed_form) = -8.017166802902056 y[1] (numeric) = -8.017166802902047 absolute error = 8.881784197001252e-15 relative error = 1.107845753413316e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.219999999999871 y[1] (closed_form) = -8.009153643346696 y[1] (numeric) = -8.009153643346689 absolute error = 7.105427357601002e-15 relative error = 8.871633226194341e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.229999999999869 y[1] (closed_form) = -8.001148492945646 y[1] (numeric) = -8.001148492945639 absolute error = 7.105427357601002e-15 relative error = 8.880509296716124e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.239999999999868 y[1] (closed_form) = -7.993151343693756 y[1] (numeric) = -7.993151343693748 absolute error = 7.993605777301127e-15 relative error = 1.000056852871644e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.249999999999867 y[1] (closed_form) = -7.985162187593876 y[1] (numeric) = -7.985162187593869 absolute error = 7.105427357601002e-15 relative error = 8.89828808817475e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.259999999999866 y[1] (closed_form) = -7.977181016656849 y[1] (numeric) = -7.977181016656841 absolute error = 7.993605777301127e-15 relative error = 1.002058968025169e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.269999999999865 y[1] (closed_form) = -7.969207822901502 y[1] (numeric) = -7.969207822901494 absolute error = 7.993605777301127e-15 relative error = 1.003061528189729e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.279999999999864 y[1] (closed_form) = -7.961242598354645 y[1] (numeric) = -7.961242598354636 absolute error = 8.881784197001252e-15 relative error = 1.115627879351002e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.289999999999863 y[1] (closed_form) = -7.953285335051048 y[1] (numeric) = -7.953285335051039 absolute error = 8.881784197001252e-15 relative error = 1.116744065230277e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.299999999999862 y[1] (closed_form) = -7.94533602503345 y[1] (numeric) = -7.945336025033439 absolute error = 1.06581410364015e-14 relative error = 1.341433641424452e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.309999999999861 y[1] (closed_form) = -7.937394660352538 y[1] (numeric) = -7.937394660352527 absolute error = 1.154631945610163e-14 relative error = 1.454673724840186e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.31999999999986 y[1] (closed_form) = -7.929461233066948 y[1] (numeric) = -7.929461233066935 absolute error = 1.243449787580175e-14 relative error = 1.568139058924733e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.329999999999858 y[1] (closed_form) = -7.921535735243252 y[1] (numeric) = -7.92153573524324 absolute error = 1.154631945610163e-14 relative error = 1.457585983577851e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.339999999999857 y[1] (closed_form) = -7.913618158955952 y[1] (numeric) = -7.913618158955939 absolute error = 1.332267629550188e-14 relative error = 1.683512652227783e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.349999999999856 y[1] (closed_form) = -7.905708496287468 y[1] (numeric) = -7.905708496287455 absolute error = 1.243449787580175e-14 relative error = 1.572850539789193e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.359999999999855 y[1] (closed_form) = -7.897806739328141 y[1] (numeric) = -7.897806739328127 absolute error = 1.4210854715202e-14 relative error = 1.799341916590239e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.369999999999854 y[1] (closed_form) = -7.889912880176212 y[1] (numeric) = -7.889912880176196 absolute error = 1.598721155460225e-14 relative error = 2.026284928287472e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.379999999999853 y[1] (closed_form) = -7.882026910937819 y[1] (numeric) = -7.882026910937804 absolute error = 1.509903313490213e-14 relative error = 1.915628214101798e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.389999999999852 y[1] (closed_form) = -7.874148823726995 y[1] (numeric) = -7.874148823726979 absolute error = 1.598721155460225e-14 relative error = 2.030341553416967e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.399999999999851 y[1] (closed_form) = -7.86627861066565 y[1] (numeric) = -7.866278610665633 absolute error = 1.687538997430238e-14 relative error = 2.145282516617394e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.40999999999985 y[1] (closed_form) = -7.858416263883573 y[1] (numeric) = -7.858416263883553 absolute error = 1.953992523340276e-14 relative error = 2.486496588785469e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.419999999999848 y[1] (closed_form) = -7.850561775518415 y[1] (numeric) = -7.850561775518393 absolute error = 2.220446049250313e-14 relative error = 2.828391282996668e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.429999999999847 y[1] (closed_form) = -7.842715137715684 y[1] (numeric) = -7.842715137715662 absolute error = 2.220446049250313e-14 relative error = 2.831221088946823e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.439999999999846 y[1] (closed_form) = -7.834876342628746 y[1] (numeric) = -7.834876342628724 absolute error = 2.220446049250313e-14 relative error = 2.834053726118302e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.449999999999845 y[1] (closed_form) = -7.827045382418802 y[1] (numeric) = -7.82704538241878 absolute error = 2.220446049250313e-14 relative error = 2.836889197343744e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.459999999999844 y[1] (closed_form) = -7.819222249254895 y[1] (numeric) = -7.819222249254872 absolute error = 2.309263891220326e-14 relative error = 2.953316605676963e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.469999999999843 y[1] (closed_form) = -7.811406935313887 y[1] (numeric) = -7.811406935313864 absolute error = 2.309263891220326e-14 relative error = 2.956271399433285e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.479999999999842 y[1] (closed_form) = -7.803599432780466 y[1] (numeric) = -7.803599432780442 absolute error = 2.398081733190338e-14 relative error = 3.073045655209763e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.489999999999841 y[1] (closed_form) = -7.795799733847129 y[1] (numeric) = -7.795799733847104 absolute error = 2.486899575160351e-14 relative error = 3.190050617081587e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.49999999999984 y[1] (closed_form) = -7.788007830714173 y[1] (numeric) = -7.788007830714148 absolute error = 2.575717417130363e-14 relative error = 3.307286629800635e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.509999999999839 y[1] (closed_form) = -7.780223715589699 y[1] (numeric) = -7.780223715589672 absolute error = 2.664535259100376e-14 relative error = 3.424754038577692e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.519999999999837 y[1] (closed_form) = -7.772447380689588 y[1] (numeric) = -7.77244738068956 absolute error = 2.842170943040401e-14 relative error = 3.656725872601838e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.529999999999836 y[1] (closed_form) = -7.764678818237504 y[1] (numeric) = -7.764678818237475 absolute error = 2.930988785010413e-14 relative error = 3.774771440804702e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.539999999999835 y[1] (closed_form) = -7.756918020464888 y[1] (numeric) = -7.756918020464857 absolute error = 3.108624468950438e-14 relative error = 4.007551015427816e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.549999999999834 y[1] (closed_form) = -7.749164979610938 y[1] (numeric) = -7.749164979610906 absolute error = 3.197442310920451e-14 relative error = 4.126176587197896e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.559999999999833 y[1] (closed_form) = -7.741419687922612 y[1] (numeric) = -7.74141968792258 absolute error = 3.197442310920451e-14 relative error = 4.130304827561255e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.569999999999832 y[1] (closed_form) = -7.733682137654622 y[1] (numeric) = -7.733682137654587 absolute error = 3.463895836830488e-14 relative error = 4.4789736314156e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.579999999999831 y[1] (closed_form) = -7.725952321069411 y[1] (numeric) = -7.725952321069376 absolute error = 3.552713678800501e-14 relative error = 4.598415225928732e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.58999999999983 y[1] (closed_form) = -7.718230230437165 y[1] (numeric) = -7.718230230437129 absolute error = 3.641531520770513e-14 relative error = 4.71809133965709e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.599999999999829 y[1] (closed_form) = -7.710515858035796 y[1] (numeric) = -7.710515858035758 absolute error = 3.819167204710538e-14 relative error = 4.953192853796226e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.609999999999828 y[1] (closed_form) = -7.702809196150923 y[1] (numeric) = -7.702809196150887 absolute error = 3.641531520770513e-14 relative error = 4.727536964813017e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.619999999999826 y[1] (closed_form) = -7.695110237075892 y[1] (numeric) = -7.695110237075855 absolute error = 3.730349362740526e-14 relative error = 4.847688009415759e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.629999999999825 y[1] (closed_form) = -7.687418973111737 y[1] (numeric) = -7.687418973111699 absolute error = 3.819167204710538e-14 relative error = 4.968074744031551e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.639999999999824 y[1] (closed_form) = -7.679735396567198 y[1] (numeric) = -7.679735396567157 absolute error = 4.085620730620576e-14 relative error = 5.320001952732418e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.649999999999823 y[1] (closed_form) = -7.672059499758693 y[1] (numeric) = -7.672059499758651 absolute error = 4.174438572590589e-14 relative error = 5.441092541998515e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.659999999999822 y[1] (closed_form) = -7.664391275010328 y[1] (numeric) = -7.664391275010287 absolute error = 4.174438572590589e-14 relative error = 5.446536355993859e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.669999999999821 y[1] (closed_form) = -7.656730714653877 y[1] (numeric) = -7.656730714653834 absolute error = 4.263256414560601e-14 relative error = 5.567985310494652e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.67999999999982 y[1] (closed_form) = -7.649077811028778 y[1] (numeric) = -7.649077811028734 absolute error = 4.440892098500626e-14 relative error = 5.805787584089616e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.689999999999819 y[1] (closed_form) = -7.641432556482128 y[1] (numeric) = -7.641432556482083 absolute error = 4.529709940470639e-14 relative error = 5.927828201046078e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.699999999999818 y[1] (closed_form) = -7.633794943368671 y[1] (numeric) = -7.633794943368624 absolute error = 4.707345624410664e-14 relative error = 6.166455425292558e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.709999999999817 y[1] (closed_form) = -7.626164964050793 y[1] (numeric) = -7.626164964050747 absolute error = 4.618527782440651e-14 relative error = 6.056160342992929e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.719999999999815 y[1] (closed_form) = -7.618542610898516 y[1] (numeric) = -7.618542610898469 absolute error = 4.707345624410664e-14 relative error = 6.178800677280045e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.729999999999814 y[1] (closed_form) = -7.610927876289484 y[1] (numeric) = -7.610927876289436 absolute error = 4.796163466380676e-14 relative error = 6.301680352696924e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.739999999999813 y[1] (closed_form) = -7.603320752608963 y[1] (numeric) = -7.603320752608914 absolute error = 4.884981308350689e-14 relative error = 6.424799725402197e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.749999999999812 y[1] (closed_form) = -7.595721232249828 y[1] (numeric) = -7.595721232249777 absolute error = 5.062616992290714e-14 relative error = 6.665090565456657e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.759999999999811 y[1] (closed_form) = -7.588129307612556 y[1] (numeric) = -7.588129307612506 absolute error = 4.973799150320701e-14 relative error = 6.554710586350829e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.76999999999981 y[1] (closed_form) = -7.580544971105228 y[1] (numeric) = -7.580544971105176 absolute error = 5.240252676230739e-14 relative error = 6.912765106209404e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.779999999999809 y[1] (closed_form) = -7.572968215143501 y[1] (numeric) = -7.572968215143448 absolute error = 5.240252676230739e-14 relative error = 6.91968132885058e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.789999999999808 y[1] (closed_form) = -7.565399032150619 y[1] (numeric) = -7.565399032150566 absolute error = 5.329070518200751e-14 relative error = 7.044004546956268e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.799999999999807 y[1] (closed_form) = -7.557837414557401 y[1] (numeric) = -7.557837414557346 absolute error = 5.506706202140776e-14 relative error = 7.286087143835784e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.809999999999806 y[1] (closed_form) = -7.550283354802226 y[1] (numeric) = -7.550283354802171 absolute error = 5.506706202140776e-14 relative error = 7.293376875237843e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.819999999999804 y[1] (closed_form) = -7.542736845331037 y[1] (numeric) = -7.54273684533098 absolute error = 5.684341886080801e-14 relative error = 7.536179509695365e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.829999999999803 y[1] (closed_form) = -7.53519787859732 y[1] (numeric) = -7.535197878597264 absolute error = 5.684341886080801e-14 relative error = 7.543719458551158e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.839999999999802 y[1] (closed_form) = -7.527666447062112 y[1] (numeric) = -7.527666447062053 absolute error = 5.861977570020827e-14 relative error = 7.787244043349758e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.849999999999801 y[1] (closed_form) = -7.520142543193976 y[1] (numeric) = -7.520142543193917 absolute error = 5.861977570020827e-14 relative error = 7.795035182313328e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.8599999999998 y[1] (closed_form) = -7.512626159469011 y[1] (numeric) = -7.512626159468952 absolute error = 5.950795411990839e-14 relative error = 7.9210588756508e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.869999999999799 y[1] (closed_form) = -7.505117288370831 y[1] (numeric) = -7.505117288370772 absolute error = 5.861977570020827e-14 relative error = 7.810640853146896e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.879999999999798 y[1] (closed_form) = -7.497615922390565 y[1] (numeric) = -7.497615922390505 absolute error = 5.950795411990839e-14 relative error = 7.936916846086546e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.889999999999797 y[1] (closed_form) = -7.490122054026846 y[1] (numeric) = -7.490122054026784 absolute error = 6.128431095930864e-14 relative error = 8.182017665034032e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.899999999999796 y[1] (closed_form) = -7.482635675785804 y[1] (numeric) = -7.482635675785743 absolute error = 6.128431095930864e-14 relative error = 8.190203775071909e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.909999999999795 y[1] (closed_form) = -7.475156780181064 y[1] (numeric) = -7.475156780181002 absolute error = 6.217248937900877e-14 relative error = 8.317215438724594e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.919999999999793 y[1] (closed_form) = -7.467685359733726 y[1] (numeric) = -7.467685359733662 absolute error = 6.394884621840902e-14 relative error = 8.563409294562088e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.929999999999792 y[1] (closed_form) = -7.460221406972369 y[1] (numeric) = -7.460221406972306 absolute error = 6.306066779870889e-14 relative error = 8.452921751058487e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.939999999999791 y[1] (closed_form) = -7.452764914433043 y[1] (numeric) = -7.452764914432978 absolute error = 6.572520305780927e-14 relative error = 8.818901952820982e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.94999999999979 y[1] (closed_form) = -7.44531587465925 y[1] (numeric) = -7.445315874659185 absolute error = 6.483702463810914e-14 relative error = 8.708431681023412e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.959999999999789 y[1] (closed_form) = -7.437874280201953 y[1] (numeric) = -7.437874280201886 absolute error = 6.661338147750939e-14 relative error = 8.955970344217852e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.969999999999788 y[1] (closed_form) = -7.430440123619556 y[1] (numeric) = -7.430440123619487 absolute error = 6.927791673660977e-14 relative error = 9.323528025801887e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.979999999999787 y[1] (closed_form) = -7.423013397477901 y[1] (numeric) = -7.423013397477832 absolute error = 6.927791673660977e-14 relative error = 9.332856217146012e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.989999999999786 y[1] (closed_form) = -7.415594094350264 y[1] (numeric) = -7.415594094350193 absolute error = 7.105427357601002e-14 relative error = 9.58173717061244e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.999999999999785 y[1] (closed_form) = -7.408182206817338 y[1] (numeric) = -7.408182206817267 absolute error = 7.105427357601002e-14 relative error = 9.591323700248991e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.009999999999784 y[1] (closed_form) = -7.400777727467236 y[1] (numeric) = -7.400777727467165 absolute error = 7.105427357601002e-14 relative error = 9.600919821210044e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.019999999999782 y[1] (closed_form) = -7.393380648895479 y[1] (numeric) = -7.393380648895408 absolute error = 7.105427357601002e-14 relative error = 9.610525543091716e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.029999999999781 y[1] (closed_form) = -7.385990963704987 y[1] (numeric) = -7.385990963704915 absolute error = 7.194245199571014e-14 relative error = 9.74039263644348e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.03999999999978 y[1] (closed_form) = -7.378608664506073 y[1] (numeric) = -7.378608664506002 absolute error = 7.105427357601002e-14 relative error = 9.629765828049429e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.049999999999779 y[1] (closed_form) = -7.37123374391644 y[1] (numeric) = -7.371233743916369 absolute error = 7.105427357601002e-14 relative error = 9.639400410365754e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.059999999999778 y[1] (closed_form) = -7.363866194561165 y[1] (numeric) = -7.363866194561093 absolute error = 7.194245199571014e-14 relative error = 9.769657689984331e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.069999999999777 y[1] (closed_form) = -7.356506009072696 y[1] (numeric) = -7.356506009072625 absolute error = 7.105427357601002e-14 relative error = 9.658698502846268e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.079999999999776 y[1] (closed_form) = -7.349153180090853 y[1] (numeric) = -7.34915318009078 absolute error = 7.283063041541027e-14 relative error = 9.910071083116261e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.089999999999775 y[1] (closed_form) = -7.341807700262799 y[1] (numeric) = -7.341807700262727 absolute error = 7.194245199571014e-14 relative error = 9.799010670510339e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.099999999999774 y[1] (closed_form) = -7.334469562243059 y[1] (numeric) = -7.334469562242986 absolute error = 7.283063041541027e-14 relative error = 9.929911058644696e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.109999999999773 y[1] (closed_form) = -7.327138758693491 y[1] (numeric) = -7.327138758693417 absolute error = 7.371880883511039e-14 relative error = 1.006106356968395e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.119999999999771 y[1] (closed_form) = -7.319815282283294 y[1] (numeric) = -7.319815282283219 absolute error = 7.460698725481052e-14 relative error = 1.019246857709477e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.12999999999977 y[1] (closed_form) = -7.312499125688988 y[1] (numeric) = -7.312499125688912 absolute error = 7.638334409421077e-14 relative error = 1.044558676607211e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.139999999999769 y[1] (closed_form) = -7.305190281594417 y[1] (numeric) = -7.305190281594339 absolute error = 7.815970093361102e-14 relative error = 1.0699201241963e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.149999999999768 y[1] (closed_form) = -7.297888742690738 y[1] (numeric) = -7.297888742690658 absolute error = 7.993605777301127e-14 relative error = 1.095331274446626e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.159999999999767 y[1] (closed_form) = -7.290594501676408 y[1] (numeric) = -7.290594501676328 absolute error = 8.08242361927114e-14 relative error = 1.108609677497858e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.169999999999766 y[1] (closed_form) = -7.283307551257188 y[1] (numeric) = -7.283307551257106 absolute error = 8.171241461241152e-14 relative error = 1.121913554210778e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.179999999999765 y[1] (closed_form) = -7.276027884146126 y[1] (numeric) = -7.276027884146044 absolute error = 8.171241461241152e-14 relative error = 1.123036028908798e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.189999999999764 y[1] (closed_form) = -7.268755493063555 y[1] (numeric) = -7.268755493063471 absolute error = 8.348877145181177e-14 relative error = 1.148597879396048e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.199999999999763 y[1] (closed_form) = -7.261490370737081 y[1] (numeric) = -7.261490370736999 absolute error = 8.260059303211165e-14 relative error = 1.137515700151335e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.209999999999761 y[1] (closed_form) = -7.254232509901584 y[1] (numeric) = -7.254232509901503 absolute error = 8.08242361927114e-14 relative error = 1.114166606631249e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.21999999999976 y[1] (closed_form) = -7.246981903299202 y[1] (numeric) = -7.24698190329912 absolute error = 8.260059303211165e-14 relative error = 1.139793008100483e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.229999999999759 y[1] (closed_form) = -7.239738543679326 y[1] (numeric) = -7.239738543679245 absolute error = 8.171241461241152e-14 relative error = 1.128665270429562e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.239999999999758 y[1] (closed_form) = -7.232502423798599 y[1] (numeric) = -7.232502423798516 absolute error = 8.348877145181177e-14 relative error = 1.154355250225584e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.249999999999757 y[1] (closed_form) = -7.225273536420898 y[1] (numeric) = -7.225273536420812 absolute error = 8.526512829121202e-14 relative error = 1.18009550588515e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.259999999999756 y[1] (closed_form) = -7.218051874317334 y[1] (numeric) = -7.218051874317249 absolute error = 8.526512829121202e-14 relative error = 1.181276191635519e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.269999999999755 y[1] (closed_form) = -7.210837430266245 y[1] (numeric) = -7.210837430266159 absolute error = 8.615330671091215e-14 relative error = 1.194775330106577e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.279999999999754 y[1] (closed_form) = -7.203630197053191 y[1] (numeric) = -7.203630197053101 absolute error = 8.970602038971265e-14 relative error = 1.245289082529652e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.289999999999753 y[1] (closed_form) = -7.196430167470932 y[1] (numeric) = -7.196430167470843 absolute error = 8.881784197001252e-14 relative error = 1.234193063826062e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.299999999999752 y[1] (closed_form) = -7.18923733431944 y[1] (numeric) = -7.189237334319349 absolute error = 9.059419880941277e-14 relative error = 1.260136431676014e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.30999999999975 y[1] (closed_form) = -7.182051690405881 y[1] (numeric) = -7.182051690405791 absolute error = 9.059419880941277e-14 relative error = 1.261397198385981e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.319999999999749 y[1] (closed_form) = -7.174873228544612 y[1] (numeric) = -7.174873228544521 absolute error = 9.14823772291129e-14 relative error = 1.275038238517695e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.329999999999748 y[1] (closed_form) = -7.167701941557169 y[1] (numeric) = -7.167701941557078 absolute error = 9.14823772291129e-14 relative error = 1.276313914487891e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.339999999999747 y[1] (closed_form) = -7.160537822272266 y[1] (numeric) = -7.160537822272172 absolute error = 9.414691248821327e-14 relative error = 1.314802251241199e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.349999999999746 y[1] (closed_form) = -7.153380863525781 y[1] (numeric) = -7.153380863525686 absolute error = 9.50350909079134e-14 relative error = 1.328533915934572e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.359999999999745 y[1] (closed_form) = -7.146231058160755 y[1] (numeric) = -7.146231058160661 absolute error = 9.325873406851315e-14 relative error = 1.305005859865318e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.369999999999744 y[1] (closed_form) = -7.139088399027383 y[1] (numeric) = -7.13908839902729 absolute error = 9.237055564881302e-14 relative error = 1.293870456365233e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.379999999999743 y[1] (closed_form) = -7.131952878983006 y[1] (numeric) = -7.131952878982912 absolute error = 9.325873406851315e-14 relative error = 1.307618483337646e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.389999999999742 y[1] (closed_form) = -7.124824490892101 y[1] (numeric) = -7.124824490892007 absolute error = 9.325873406851315e-14 relative error = 1.308926755848216e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.399999999999741 y[1] (closed_form) = -7.117703227626281 y[1] (numeric) = -7.117703227626188 absolute error = 9.325873406851315e-14 relative error = 1.310236337285651e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.409999999999739 y[1] (closed_form) = -7.110589082064283 y[1] (numeric) = -7.110589082064188 absolute error = 9.414691248821327e-14 relative error = 1.324038154949623e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.419999999999738 y[1] (closed_form) = -7.103482047091958 y[1] (numeric) = -7.103482047091862 absolute error = 9.592326932761353e-14 relative error = 1.350369701671631e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.429999999999737 y[1] (closed_form) = -7.096382115602273 y[1] (numeric) = -7.096382115602175 absolute error = 9.769962616701378e-14 relative error = 1.376752612464443e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.439999999999736 y[1] (closed_form) = -7.089289280495294 y[1] (numeric) = -7.089289280495197 absolute error = 9.769962616701378e-14 relative error = 1.378130053682729e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.449999999999735 y[1] (closed_form) = -7.082203534678188 y[1] (numeric) = -7.082203534678087 absolute error = 1.003641614261142e-13 relative error = 1.417131842295671e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.459999999999734 y[1] (closed_form) = -7.075124871065205 y[1] (numeric) = -7.075124871065105 absolute error = 9.947598300641403e-14 relative error = 1.405996145922966e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.469999999999733 y[1] (closed_form) = -7.068053282577683 y[1] (numeric) = -7.068053282577582 absolute error = 1.012523398458143e-13 relative error = 1.432535038967449e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.479999999999732 y[1] (closed_form) = -7.060988762144032 y[1] (numeric) = -7.06098876214393 absolute error = 1.021405182655144e-13 relative error = 1.446546959727776e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.489999999999731 y[1] (closed_form) = -7.053931302699733 y[1] (numeric) = -7.053931302699631 absolute error = 1.021405182655144e-13 relative error = 1.447994230202135e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.49999999999973 y[1] (closed_form) = -7.046880897187324 y[1] (numeric) = -7.04688089718722 absolute error = 1.039168751049147e-13 relative error = 1.474650652125989e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.509999999999728 y[1] (closed_form) = -7.0398375385564 y[1] (numeric) = -7.039837538556295 absolute error = 1.048050535246148e-13 relative error = 1.488742502232605e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.519999999999727 y[1] (closed_form) = -7.0328012197636 y[1] (numeric) = -7.032801219763495 absolute error = 1.048050535246148e-13 relative error = 1.490231989354275e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.529999999999726 y[1] (closed_form) = -7.025771933772607 y[1] (numeric) = -7.025771933772502 absolute error = 1.048050535246148e-13 relative error = 1.491722966708057e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.539999999999725 y[1] (closed_form) = -7.018749673554133 y[1] (numeric) = -7.018749673554026 absolute error = 1.06581410364015e-13 relative error = 1.518524171984676e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.549999999999724 y[1] (closed_form) = -7.011734432085916 y[1] (numeric) = -7.011734432085809 absolute error = 1.074695887837152e-13 relative error = 1.532710484469163e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.559999999999723 y[1] (closed_form) = -7.004726202352717 y[1] (numeric) = -7.004726202352607 absolute error = 1.092459456231154e-13 relative error = 1.559603365887768e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.569999999999722 y[1] (closed_form) = -6.997724977346305 y[1] (numeric) = -6.997724977346194 absolute error = 1.110223024625157e-13 relative error = 1.586548525726969e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.579999999999721 y[1] (closed_form) = -6.990730750065451 y[1] (numeric) = -6.990730750065342 absolute error = 1.092459456231154e-13 relative error = 1.562725693906786e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.58999999999972 y[1] (closed_form) = -6.983743513515932 y[1] (numeric) = -6.983743513515821 absolute error = 1.119104808822158e-13 relative error = 1.602442596375865e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.599999999999719 y[1] (closed_form) = -6.976763260710507 y[1] (numeric) = -6.976763260710396 absolute error = 1.110223024625157e-13 relative error = 1.591315317917341e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.609999999999717 y[1] (closed_form) = -6.969789984668924 y[1] (numeric) = -6.969789984668813 absolute error = 1.110223024625157e-13 relative error = 1.592907429158203e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.619999999999716 y[1] (closed_form) = -6.962823678417907 y[1] (numeric) = -6.962823678417794 absolute error = 1.127986593019159e-13 relative error = 1.620013151439532e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.629999999999715 y[1] (closed_form) = -6.955864334991149 y[1] (numeric) = -6.955864334991035 absolute error = 1.13686837721616e-13 relative error = 1.634402746323268e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.639999999999714 y[1] (closed_form) = -6.948911947429306 y[1] (numeric) = -6.94891194742919 absolute error = 1.154631945610163e-13 relative error = 1.661601059770673e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.649999999999713 y[1] (closed_form) = -6.941966508779988 y[1] (numeric) = -6.941966508779872 absolute error = 1.154631945610163e-13 relative error = 1.663263491907977e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.659999999999712 y[1] (closed_form) = -6.935028012097757 y[1] (numeric) = -6.935028012097642 absolute error = 1.145750161413162e-13 relative error = 1.652120452021919e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.669999999999711 y[1] (closed_form) = -6.928096450444118 y[1] (numeric) = -6.928096450444002 absolute error = 1.154631945610163e-13 relative error = 1.66659334763757e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.67999999999971 y[1] (closed_form) = -6.921171816887504 y[1] (numeric) = -6.92117181688739 absolute error = 1.145750161413162e-13 relative error = 1.655427999370795e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.689999999999709 y[1] (closed_form) = -6.914254104503287 y[1] (numeric) = -6.914254104503171 absolute error = 1.154631945610163e-13 relative error = 1.669929869742776e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.699999999999708 y[1] (closed_form) = -6.907343306373748 y[1] (numeric) = -6.907343306373632 absolute error = 1.154631945610163e-13 relative error = 1.671600634855845e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.709999999999706 y[1] (closed_form) = -6.900439415588092 y[1] (numeric) = -6.900439415587977 absolute error = 1.154631945610163e-13 relative error = 1.673273071569688e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.719999999999705 y[1] (closed_form) = -6.893542425242426 y[1] (numeric) = -6.893542425242311 absolute error = 1.154631945610163e-13 relative error = 1.674947181556742e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.729999999999704 y[1] (closed_form) = -6.886652328439762 y[1] (numeric) = -6.886652328439645 absolute error = 1.172395514004165e-13 relative error = 1.702417165975595e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.739999999999703 y[1] (closed_form) = -6.879769118289998 y[1] (numeric) = -6.879769118289881 absolute error = 1.172395514004165e-13 relative error = 1.704120434633961e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.749999999999702 y[1] (closed_form) = -6.872892787909927 y[1] (numeric) = -6.872892787909809 absolute error = 1.181277298201167e-13 relative error = 1.718748327166031e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.759999999999701 y[1] (closed_form) = -6.866023330423215 y[1] (numeric) = -6.866023330423096 absolute error = 1.190159082398168e-13 relative error = 1.733403784290386e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.7699999999997 y[1] (closed_form) = -6.859160738960407 y[1] (numeric) = -6.859160738960287 absolute error = 1.199040866595169e-13 relative error = 1.748086846521254e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.779999999999699 y[1] (closed_form) = -6.852305006658908 y[1] (numeric) = -6.852305006658788 absolute error = 1.190159082398168e-13 relative error = 1.736874060978896e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.789999999999698 y[1] (closed_form) = -6.845456126662989 y[1] (numeric) = -6.845456126662868 absolute error = 1.20792265079217e-13 relative error = 1.764561233673418e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.799999999999697 y[1] (closed_form) = -6.838614092123766 y[1] (numeric) = -6.838614092123644 absolute error = 1.225686219186173e-13 relative error = 1.792302069797785e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.809999999999695 y[1] (closed_form) = -6.831778896199205 y[1] (numeric) = -6.831778896199082 absolute error = 1.225686219186173e-13 relative error = 1.79409526831741e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.819999999999694 y[1] (closed_form) = -6.824950532054109 y[1] (numeric) = -6.824950532053986 absolute error = 1.225686219186173e-13 relative error = 1.795890260932452e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.829999999999693 y[1] (closed_form) = -6.818128992860114 y[1] (numeric) = -6.81812899285999 absolute error = 1.234568003383174e-13 relative error = 1.810713767187454e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.839999999999692 y[1] (closed_form) = -6.81131427179568 y[1] (numeric) = -6.811314271795556 absolute error = 1.243449787580175e-13 relative error = 1.825565137596216e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.849999999999691 y[1] (closed_form) = -6.804506362046086 y[1] (numeric) = -6.804506362045962 absolute error = 1.243449787580175e-13 relative error = 1.827391615820718e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.85999999999969 y[1] (closed_form) = -6.797705256803422 y[1] (numeric) = -6.797705256803297 absolute error = 1.243449787580175e-13 relative error = 1.829219921436987e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.869999999999689 y[1] (closed_form) = -6.790910949266578 y[1] (numeric) = -6.790910949266454 absolute error = 1.243449787580175e-13 relative error = 1.831050056273332e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.879999999999688 y[1] (closed_form) = -6.784123432641252 y[1] (numeric) = -6.784123432641127 absolute error = 1.252331571777177e-13 relative error = 1.845974036603883e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.889999999999687 y[1] (closed_form) = -6.777342700139924 y[1] (numeric) = -6.777342700139798 absolute error = 1.261213355974178e-13 relative error = 1.860926046941877e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.899999999999685 y[1] (closed_form) = -6.77056874498186 y[1] (numeric) = -6.770568744981733 absolute error = 1.270095140171179e-13 relative error = 1.875906128436455e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.909999999999684 y[1] (closed_form) = -6.763801560393104 y[1] (numeric) = -6.763801560392977 absolute error = 1.270095140171179e-13 relative error = 1.877782972830685e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.919999999999683 y[1] (closed_form) = -6.757041139606475 y[1] (numeric) = -6.757041139606347 absolute error = 1.27897692436818e-13 relative error = 1.892806182385723e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.929999999999682 y[1] (closed_form) = -6.750287475861546 y[1] (numeric) = -6.750287475861418 absolute error = 1.27897692436818e-13 relative error = 1.894699935286746e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.939999999999681 y[1] (closed_form) = -6.743540562404656 y[1] (numeric) = -6.743540562404528 absolute error = 1.287858708565182e-13 relative error = 1.909766385546806e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.94999999999968 y[1] (closed_form) = -6.736800392488892 y[1] (numeric) = -6.736800392488761 absolute error = 1.305622276959184e-13 relative error = 1.938045067232318e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.959999999999679 y[1] (closed_form) = -6.73006695937408 y[1] (numeric) = -6.730066959373947 absolute error = 1.323385845353187e-13 relative error = 1.966378422892046e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.969999999999678 y[1] (closed_form) = -6.723340256326789 y[1] (numeric) = -6.723340256326657 absolute error = 1.314504061156185e-13 relative error = 1.955135410437115e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.979999999999677 y[1] (closed_form) = -6.716620276620315 y[1] (numeric) = -6.716620276620182 absolute error = 1.332267629550188e-13 relative error = 1.983538706494453e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.989999999999676 y[1] (closed_form) = -6.709907013534677 y[1] (numeric) = -6.709907013534543 absolute error = 1.341149413747189e-13 relative error = 1.99876005888298e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.999999999999674 y[1] (closed_form) = -6.70320046035661 y[1] (numeric) = -6.703200460356476 absolute error = 1.332267629550188e-13 relative error = 1.987509753630897e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.009999999999677 y[1] (closed_form) = -6.696500610379562 y[1] (numeric) = -6.69650061037943 absolute error = 1.323385845353187e-13 relative error = 1.976234935754267e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.019999999999681 y[1] (closed_form) = -6.689807456903681 y[1] (numeric) = -6.689807456903551 absolute error = 1.296740492762183e-13 relative error = 1.938382384120765e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.029999999999684 y[1] (closed_form) = -6.683120993235814 y[1] (numeric) = -6.683120993235685 absolute error = 1.287858708565182e-13 relative error = 1.927031861114982e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.039999999999687 y[1] (closed_form) = -6.676441212689499 y[1] (numeric) = -6.676441212689372 absolute error = 1.261213355974178e-13 relative error = 1.889050342534384e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.049999999999691 y[1] (closed_form) = -6.669768108584949 y[1] (numeric) = -6.669768108584827 absolute error = 1.225686219186173e-13 relative error = 1.837674412710899e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.059999999999694 y[1] (closed_form) = -6.663101674249067 y[1] (numeric) = -6.663101674248946 absolute error = 1.20792265079217e-13 relative error = 1.812853397480691e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.069999999999697 y[1] (closed_form) = -6.656441903015413 y[1] (numeric) = -6.656441903015294 absolute error = 1.190159082398168e-13 relative error = 1.787980875877573e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.079999999999701 y[1] (closed_form) = -6.649788788224217 y[1] (numeric) = -6.649788788224101 absolute error = 1.163513729807164e-13 relative error = 1.749700279003708e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.089999999999704 y[1] (closed_form) = -6.643142323222364 y[1] (numeric) = -6.64314232322225 absolute error = 1.13686837721616e-13 relative error = 1.711341292872834e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.099999999999707 y[1] (closed_form) = -6.636502501363388 y[1] (numeric) = -6.636502501363274 absolute error = 1.145750161413162e-13 relative error = 1.726436720513224e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.109999999999711 y[1] (closed_form) = -6.629869316007467 y[1] (numeric) = -6.629869316007354 absolute error = 1.127986593019159e-13 relative error = 1.701370780108283e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.119999999999714 y[1] (closed_form) = -6.623242760521411 y[1] (numeric) = -6.623242760521302 absolute error = 1.092459456231154e-13 relative error = 1.649432907310724e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.129999999999717 y[1] (closed_form) = -6.616622828278671 y[1] (numeric) = -6.616622828278564 absolute error = 1.074695887837152e-13 relative error = 1.62423628447435e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.139999999999721 y[1] (closed_form) = -6.610009512659309 y[1] (numeric) = -6.610009512659203 absolute error = 1.056932319443149e-13 relative error = 1.598987592103977e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.149999999999724 y[1] (closed_form) = -6.603402807050012 y[1] (numeric) = -6.603402807049906 absolute error = 1.056932319443149e-13 relative error = 1.600587379456442e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.159999999999727 y[1] (closed_form) = -6.59680270484407 y[1] (numeric) = -6.596802704843968 absolute error = 1.021405182655144e-13 relative error = 1.548333682778053e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.169999999999731 y[1] (closed_form) = -6.590209199441384 y[1] (numeric) = -6.590209199441285 absolute error = 9.85878045867139e-14 relative error = 1.495973824246287e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.179999999999734 y[1] (closed_form) = -6.583622284248447 y[1] (numeric) = -6.583622284248351 absolute error = 9.592326932761353e-14 relative error = 1.456998369379625e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.189999999999737 y[1] (closed_form) = -6.577041952678341 y[1] (numeric) = -6.577041952678249 absolute error = 9.237055564881302e-14 relative error = 1.404439204028452e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.199999999999741 y[1] (closed_form) = -6.570468198150738 y[1] (numeric) = -6.570468198150648 absolute error = 8.970602038971265e-14 relative error = 1.365291143406804e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.209999999999744 y[1] (closed_form) = -6.563901014091879 y[1] (numeric) = -6.563901014091792 absolute error = 8.704148513061227e-14 relative error = 1.326063341658338e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.219999999999748 y[1] (closed_form) = -6.557340393934582 y[1] (numeric) = -6.557340393934497 absolute error = 8.43769498715119e-14 relative error = 1.286755678408262e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.229999999999751 y[1] (closed_form) = -6.550786331118226 y[1] (numeric) = -6.550786331118145 absolute error = 8.08242361927114e-14 relative error = 1.233809684934642e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.239999999999754 y[1] (closed_form) = -6.544238819088747 y[1] (numeric) = -6.544238819088667 absolute error = 7.993605777301127e-14 relative error = 1.221472198414391e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.249999999999758 y[1] (closed_form) = -6.537697851298631 y[1] (numeric) = -6.537697851298556 absolute error = 7.549516567451064e-14 relative error = 1.154766821466282e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.259999999999761 y[1] (closed_form) = -6.531163421206911 y[1] (numeric) = -6.531163421206839 absolute error = 7.194245199571014e-14 relative error = 1.101525828646555e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.269999999999764 y[1] (closed_form) = -6.524635522279158 y[1] (numeric) = -6.524635522279088 absolute error = 6.927791673660977e-14 relative error = 1.061789834850574e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.279999999999768 y[1] (closed_form) = -6.51811414798747 y[1] (numeric) = -6.518114147987402 absolute error = 6.838973831690964e-14 relative error = 1.049225846068155e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.289999999999771 y[1] (closed_form) = -6.511599291810475 y[1] (numeric) = -6.511599291810407 absolute error = 6.750155989720952e-14 relative error = 1.036635653887749e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.299999999999774 y[1] (closed_form) = -6.505090947233311 y[1] (numeric) = -6.505090947233248 absolute error = 6.306066779870889e-14 relative error = 9.694048601354191e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.309999999999778 y[1] (closed_form) = -6.49858910774764 y[1] (numeric) = -6.498589107747578 absolute error = 6.217248937900877e-14 relative error = 9.567074998615701e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.319999999999781 y[1] (closed_form) = -6.492093766851617 y[1] (numeric) = -6.492093766851557 absolute error = 5.950795411990839e-14 relative error = 9.166219136229014e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.329999999999784 y[1] (closed_form) = -6.485604918049901 y[1] (numeric) = -6.485604918049843 absolute error = 5.861977570020827e-14 relative error = 9.038443821495393e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.339999999999788 y[1] (closed_form) = -6.479122554853643 y[1] (numeric) = -6.479122554853589 absolute error = 5.417888360170764e-14 relative error = 8.362071120436073e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.349999999999791 y[1] (closed_form) = -6.472646670780482 y[1] (numeric) = -6.472646670780427 absolute error = 5.506706202140776e-14 relative error = 8.507657658805543e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.359999999999794 y[1] (closed_form) = -6.466177259354529 y[1] (numeric) = -6.466177259354477 absolute error = 5.240252676230739e-14 relative error = 8.104096850499633e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.369999999999798 y[1] (closed_form) = -6.459714314106376 y[1] (numeric) = -6.459714314106325 absolute error = 5.151434834260726e-14 relative error = 7.974710000736875e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.379999999999801 y[1] (closed_form) = -6.453257828573074 y[1] (numeric) = -6.453257828573025 absolute error = 4.884981308350689e-14 relative error = 7.569791008072649e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.389999999999804 y[1] (closed_form) = -6.446807796298138 y[1] (numeric) = -6.44680779629809 absolute error = 4.796163466380676e-14 relative error = 7.439594320052028e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.399999999999808 y[1] (closed_form) = -6.440364210831538 y[1] (numeric) = -6.440364210831491 absolute error = 4.707345624410664e-14 relative error = 7.309129531050049e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.409999999999811 y[1] (closed_form) = -6.433927065729684 y[1] (numeric) = -6.433927065729638 absolute error = 4.529709940470639e-14 relative error = 7.040350153482687e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.419999999999814 y[1] (closed_form) = -6.427496354555431 y[1] (numeric) = -6.427496354555388 absolute error = 4.263256414560601e-14 relative error = 6.632841435279937e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.429999999999818 y[1] (closed_form) = -6.421072070878068 y[1] (numeric) = -6.421072070878028 absolute error = 4.085620730620576e-14 relative error = 6.362832694481618e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.439999999999821 y[1] (closed_form) = -6.414654208273313 y[1] (numeric) = -6.414654208273274 absolute error = 3.907985046680551e-14 relative error = 6.092277026624786e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.449999999999824 y[1] (closed_form) = -6.408242760323301 y[1] (numeric) = -6.408242760323263 absolute error = 3.730349362740526e-14 relative error = 5.821173607587125e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.459999999999828 y[1] (closed_form) = -6.401837720616581 y[1] (numeric) = -6.401837720616549 absolute error = 3.197442310920451e-14 relative error = 4.994569450930248e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.469999999999831 y[1] (closed_form) = -6.395439082748116 y[1] (numeric) = -6.395439082748085 absolute error = 3.108624468950438e-14 relative error = 4.860689670762472e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.479999999999834 y[1] (closed_form) = -6.389046840319268 y[1] (numeric) = -6.389046840319238 absolute error = 3.019806626980426e-14 relative error = 4.726536997543005e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.489999999999838 y[1] (closed_form) = -6.382660986937791 y[1] (numeric) = -6.382660986937762 absolute error = 2.842170943040401e-14 relative error = 4.452956139856002e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.499999999999841 y[1] (closed_form) = -6.376281516217833 y[1] (numeric) = -6.376281516217806 absolute error = 2.753353101070388e-14 relative error = 4.318117219365766e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.509999999999844 y[1] (closed_form) = -6.369908421779924 y[1] (numeric) = -6.369908421779898 absolute error = 2.575717417130363e-14 relative error = 4.043570561114344e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.519999999999848 y[1] (closed_form) = -6.363541697250966 y[1] (numeric) = -6.363541697250942 absolute error = 2.398081733190338e-14 relative error = 3.768470212470366e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.529999999999851 y[1] (closed_form) = -6.357181336264237 y[1] (numeric) = -6.357181336264215 absolute error = 2.131628207280301e-14 relative error = 3.353102726707715e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.539999999999854 y[1] (closed_form) = -6.350827332459374 y[1] (numeric) = -6.350827332459354 absolute error = 2.042810365310288e-14 relative error = 3.216605110438744e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.549999999999858 y[1] (closed_form) = -6.344479679482372 y[1] (numeric) = -6.344479679482355 absolute error = 1.687538997430238e-14 relative error = 2.65985405058137e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.559999999999861 y[1] (closed_form) = -6.338138370985577 y[1] (numeric) = -6.338138370985564 absolute error = 1.332267629550188e-14 relative error = 2.101985711843998e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.569999999999864 y[1] (closed_form) = -6.331803400627684 y[1] (numeric) = -6.33180340062767 absolute error = 1.4210854715202e-14 relative error = 2.244361332159058e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.579999999999868 y[1] (closed_form) = -6.325474762073719 y[1] (numeric) = -6.325474762073705 absolute error = 1.332267629550188e-14 relative error = 2.10619389004316e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.589999999999871 y[1] (closed_form) = -6.319152448995039 y[1] (numeric) = -6.319152448995029 absolute error = 9.769962616701378e-15 relative error = 1.546087500746265e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.599999999999874 y[1] (closed_form) = -6.312836455069339 y[1] (numeric) = -6.312836455069331 absolute error = 7.993605777301127e-15 relative error = 1.266246295812415e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.609999999999878 y[1] (closed_form) = -6.306526773980618 y[1] (numeric) = -6.306526773980612 absolute error = 6.217248937900877e-15 relative error = 9.858435808996986e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.619999999999881 y[1] (closed_form) = -6.300223399419198 y[1] (numeric) = -6.300223399419195 absolute error = 3.552713678800501e-15 relative error = 5.639028100381356e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.629999999999884 y[1] (closed_form) = -6.293926325081701 y[1] (numeric) = -6.2939263250817 absolute error = 8.881784197001252e-16 relative error = 1.411167487233966e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.639999999999888 y[1] (closed_form) = -6.287635544671055 y[1] (numeric) = -6.287635544671056 absolute error = 8.881784197001252e-16 relative error = 1.412579360540197e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.649999999999891 y[1] (closed_form) = -6.281351051896476 y[1] (numeric) = -6.281351051896481 absolute error = 4.440892098500626e-15 relative error = 7.069963232129534e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.659999999999894 y[1] (closed_form) = -6.275072840473474 y[1] (numeric) = -6.27507284047348 absolute error = 6.217248937900877e-15 relative error = 9.907851424130665e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.669999999999898 y[1] (closed_form) = -6.268800904123834 y[1] (numeric) = -6.268800904123842 absolute error = 7.993605777301127e-15 relative error = 1.275141115431287e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.679999999999901 y[1] (closed_form) = -6.26253523657562 y[1] (numeric) = -6.262535236575631 absolute error = 1.06581410364015e-14 relative error = 1.701889192439805e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.689999999999904 y[1] (closed_form) = -6.256275831563167 y[1] (numeric) = -6.256275831563179 absolute error = 1.154631945610163e-14 relative error = 1.845557927265607e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.699999999999908 y[1] (closed_form) = -6.250022682827066 y[1] (numeric) = -6.250022682827079 absolute error = 1.332267629550188e-14 relative error = 2.131620471091738e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.709999999999911 y[1] (closed_form) = -6.243775784114169 y[1] (numeric) = -6.243775784114181 absolute error = 1.243449787580175e-14 relative error = 1.991502947213196e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.719999999999914 y[1] (closed_form) = -6.237535129177575 y[1] (numeric) = -6.23753512917759 absolute error = 1.509903313490213e-14 relative error = 2.420673041867574e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.729999999999918 y[1] (closed_form) = -6.23130071177663 y[1] (numeric) = -6.231300711776647 absolute error = 1.77635683940025e-14 relative error = 2.850699912528835e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.739999999999921 y[1] (closed_form) = -6.225072525676917 y[1] (numeric) = -6.225072525676936 absolute error = 1.865174681370263e-14 relative error = 2.996229640179884e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.749999999999925 y[1] (closed_form) = -6.218850564650246 y[1] (numeric) = -6.218850564650269 absolute error = 2.220446049250313e-14 relative error = 3.570508771945693e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.759999999999928 y[1] (closed_form) = -6.212634822474662 y[1] (numeric) = -6.212634822474685 absolute error = 2.309263891220326e-14 relative error = 3.717044309229949e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.769999999999931 y[1] (closed_form) = -6.206425292934416 y[1] (numeric) = -6.206425292934441 absolute error = 2.486899575160351e-14 relative error = 4.006975767502612e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.779999999999935 y[1] (closed_form) = -6.20022196981998 y[1] (numeric) = -6.200221969820007 absolute error = 2.753353101070388e-14 relative error = 4.440733113221639e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.789999999999938 y[1] (closed_form) = -6.194024846928031 y[1] (numeric) = -6.194024846928062 absolute error = 3.108624468950438e-14 relative error = 5.018747172918078e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.799999999999941 y[1] (closed_form) = -6.187833918061445 y[1] (numeric) = -6.187833918061478 absolute error = 3.286260152890463e-14 relative error = 5.310840912032751e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.809999999999945 y[1] (closed_form) = -6.181649177029293 y[1] (numeric) = -6.181649177029328 absolute error = 3.552713678800501e-14 relative error = 5.747193955946598e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.819999999999948 y[1] (closed_form) = -6.175470617646832 y[1] (numeric) = -6.17547061764687 absolute error = 3.819167204710538e-14 relative error = 6.184414826291952e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.829999999999951 y[1] (closed_form) = -6.169298233735504 y[1] (numeric) = -6.169298233735544 absolute error = 3.996802888650564e-14 relative error = 6.47853732665231e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.839999999999955 y[1] (closed_form) = -6.163132019122923 y[1] (numeric) = -6.163132019122966 absolute error = 4.352074256530614e-14 relative error = 7.061465246934559e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.849999999999958 y[1] (closed_form) = -6.156971967642876 y[1] (numeric) = -6.15697196764292 absolute error = 4.352074256530614e-14 relative error = 7.068530244091323e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.859999999999961 y[1] (closed_form) = -6.15081807313531 y[1] (numeric) = -6.150818073135354 absolute error = 4.352074256530614e-14 relative error = 7.075602309778921e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.869999999999965 y[1] (closed_form) = -6.144670329446329 y[1] (numeric) = -6.144670329446376 absolute error = 4.618527782440651e-14 relative error = 7.51631500929816e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.879999999999968 y[1] (closed_form) = -6.13852873042819 y[1] (numeric) = -6.138528730428237 absolute error = 4.707345624410664e-14 relative error = 7.668524219943343e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.889999999999971 y[1] (closed_form) = -6.132393269939293 y[1] (numeric) = -6.132393269939341 absolute error = 4.796163466380676e-14 relative error = 7.821030477434067e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.899999999999975 y[1] (closed_form) = -6.126263941844176 y[1] (numeric) = -6.126263941844226 absolute error = 5.062616992290714e-14 relative error = 8.263791831937827e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.909999999999978 y[1] (closed_form) = -6.120140740013512 y[1] (numeric) = -6.120140740013566 absolute error = 5.417888360170764e-14 relative error = 8.852555178590227e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.919999999999981 y[1] (closed_form) = -6.114023658324098 y[1] (numeric) = -6.114023658324154 absolute error = 5.595524044110789e-14 relative error = 9.151950265178671e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.929999999999985 y[1] (closed_form) = -6.107912690658851 y[1] (numeric) = -6.107912690658909 absolute error = 5.773159728050814e-14 relative error = 9.451935580022302e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.939999999999988 y[1] (closed_form) = -6.101807830906805 y[1] (numeric) = -6.101807830906864 absolute error = 5.950795411990839e-14 relative error = 9.752512004473397e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.949999999999991 y[1] (closed_form) = -6.095709072963098 y[1] (numeric) = -6.095709072963159 absolute error = 6.128431095930864e-14 relative error = 1.005368042105701e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.959999999999995 y[1] (closed_form) = -6.089616410728973 y[1] (numeric) = -6.089616410729037 absolute error = 6.394884621840902e-14 relative error = 1.050129300521145e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.969999999999998 y[1] (closed_form) = -6.083529838111764 y[1] (numeric) = -6.083529838111831 absolute error = 6.661338147750939e-14 relative error = 1.094979119855606e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.980000000000001 y[1] (closed_form) = -6.0774493490249 y[1] (numeric) = -6.077449349024969 absolute error = 6.927791673660977e-14 relative error = 1.139917632513467e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.990000000000005 y[1] (closed_form) = -6.071374937387893 y[1] (numeric) = -6.071374937387962 absolute error = 6.927791673660977e-14 relative error = 1.141058120294831e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 Finished! diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; 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 %