##############ECHO OF PROBLEM################# ##############temp/expt_lin_cpostode.ode################# diff ( y , x , 1 ) = expt ( ( 0.2 * x + 0.3 ) , 2.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $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 def exact_soln_y (x) x = c(x) return(c(5.0)/c(3.0) * expt((c(0.2) * c(x) + c(0.3)),c(3.0))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) 0.05461333333333335 y[1] (numeric) 0.05461333333333335 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y[1] (closed_form) 0.05564374666666667 y[1] (numeric) 0.055643746666666695 absolute error 2.7755575615628914e-17 relative error 4.9880853246454494e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) 0.05668704 y[1] (numeric) 0.05668704000000003 absolute error 2.7755575615628914e-17 relative error 4.896282398168773e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) 0.05774329333333334 y[1] (numeric) 0.05774329333333336 absolute error 2.0816681711721685e-17 relative error 3.6050388729222145e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) 0.05881258666666668 y[1] (numeric) 0.058812586666666694 absolute error 1.3877787807814457e-17 relative error 2.359662887549885e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) 0.05989500000000001 y[1] (numeric) 0.05989500000000003 absolute error 2.0816681711721685e-17 relative error 3.4755291279274864e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) 0.06099061333333335 y[1] (numeric) 0.060990613333333374 absolute error 2.0816681711721685e-17 relative error 3.4130959788765876e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) 0.06209950666666668 y[1] (numeric) 0.062099506666666714 absolute error 3.469446951953614e-17 relative error 5.5869154815941857e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) 0.06322176000000002 y[1] (numeric) 0.06322176000000004 absolute error 2.7755575615628914e-17 relative error 4.3901934421991586e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) 0.06435745333333336 y[1] (numeric) 0.06435745333333337 absolute error 1.3877787807814457e-17 relative error 2.1563606216572563e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) 0.06550666666666669 y[1] (numeric) 0.06550666666666669 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y[1] (closed_form) 0.06666948000000002 y[1] (numeric) 0.06666948000000004 absolute error 2.7755575615628914e-17 relative error 4.163160656964612e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 0.06784597333333335 y[1] (numeric) 0.06784597333333338 absolute error 2.7755575615628914e-17 relative error 4.090968741691313e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) 0.06903622666666669 y[1] (numeric) 0.06903622666666673 absolute error 4.163336342344337e-17 relative error 6.030654546701282e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 0.07024032000000002 y[1] (numeric) 0.07024032000000008 absolute error 5.551115123125783e-17 relative error 7.903032222982157e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) 0.07145833333333336 y[1] (numeric) 0.07145833333333342 absolute error 5.551115123125783e-17 relative error 7.768324370555028e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 0.0726903466666667 y[1] (numeric) 0.07269034666666677 absolute error 6.938893903907228e-17 relative error 9.545825851851615e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) 0.07393644000000003 y[1] (numeric) 0.0739364400000001 absolute error 6.938893903907228e-17 relative error 9.384944560364585e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) 0.07519669333333337 y[1] (numeric) 0.07519669333333343 absolute error 5.551115123125783e-17 relative error 7.382126629582888e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) 0.07647118666666669 y[1] (numeric) 0.07647118666666675 absolute error 5.551115123125783e-17 relative error 7.259093738564252e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 0.07776000000000004 y[1] (numeric) 0.07776000000000008 absolute error 4.163336342344337e-17 relative error 5.35408480239755e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) 0.07906321333333337 y[1] (numeric) 0.07906321333333342 absolute error 5.551115123125783e-17 relative error 7.021109931014416e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 0.0803809066666667 y[1] (numeric) 0.08038090666666675 absolute error 5.551115123125783e-17 relative error 6.906012078397947e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 0.08171316000000003 y[1] (numeric) 0.08171316000000009 absolute error 5.551115123125783e-17 relative error 6.793416290748981e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 0.08306005333333337 y[1] (numeric) 0.08306005333333343 absolute error 5.551115123125783e-17 relative error 6.683254946692924e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 0.08442166666666671 y[1] (numeric) 0.08442166666666674 absolute error 2.7755575615628914e-17 relative error 3.2877313030575364e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) 0.08579808000000004 y[1] (numeric) 0.08579808000000008 absolute error 4.163336342344337e-17 relative error 4.852481946384272e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 0.08718937333333338 y[1] (numeric) 0.08718937333333343 absolute error 5.551115123125783e-17 relative error 6.36673359481933e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 0.08859562666666672 y[1] (numeric) 0.08859562666666677 absolute error 5.551115123125783e-17 relative error 6.265676232542908e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 0.09001692000000004 y[1] (numeric) 0.09001692000000011 absolute error 6.938893903907228e-17 relative error 7.70843293006162e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 0.09145333333333337 y[1] (numeric) 0.09145333333333346 absolute error 8.326672684688674e-17 relative error 9.104832356781605e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 0.09290494666666671 y[1] (numeric) 0.09290494666666681 absolute error 9.71445146547012e-17 relative error 1.0456333934859854e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 0.09437184000000005 y[1] (numeric) 0.09437184000000017 absolute error 1.1102230246251565e-16 relative error 1.1764346489643053e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 0.09585409333333339 y[1] (numeric) 0.0958540933333335 absolute error 1.1102230246251565e-16 relative error 1.1582426853325366e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 0.09735178666666672 y[1] (numeric) 0.09735178666666683 absolute error 1.1102230246251565e-16 relative error 1.1404238819227518e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 0.09886500000000005 y[1] (numeric) 0.09886500000000015 absolute error 9.71445146547012e-17 relative error 9.825976296434648e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) 0.10039381333333339 y[1] (numeric) 0.1003938133333335 absolute error 1.1102230246251565e-16 relative error 1.1058679691137235e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) 0.10193830666666673 y[1] (numeric) 0.10193830666666684 absolute error 1.1102230246251565e-16 relative error 1.0891126809233074e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) 0.10349856000000006 y[1] (numeric) 0.10349856000000018 absolute error 1.249000902703301e-16 relative error 1.2067809471970436e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 0.10507465333333339 y[1] (numeric) 0.10507465333333349 absolute error 9.71445146547012e-17 relative error 9.245285287454146e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 0.10666666666666674 y[1] (numeric) 0.10666666666666683 absolute error 8.326672684688674e-17 relative error 7.806255641895627e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 0.10827468000000007 y[1] (numeric) 0.10827468000000018 absolute error 1.1102230246251565e-16 relative error 1.0253764080624906e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 0.10989877333333341 y[1] (numeric) 0.10989877333333352 absolute error 1.1102230246251565e-16 relative error 1.0102233090971314e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 0.11153902666666674 y[1] (numeric) 0.11153902666666686 absolute error 1.249000902703301e-16 relative error 1.119788239174731e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 0.11319552000000009 y[1] (numeric) 0.1131955200000002 absolute error 1.1102230246251565e-16 relative error 9.808012054056165e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 0.1148683333333334 y[1] (numeric) 0.11486833333333354 absolute error 1.3877787807814457e-16 relative error 1.2081473984255406e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 0.11655754666666676 y[1] (numeric) 0.11655754666666689 absolute error 1.249000902703301e-16 relative error 1.071574461218899e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) 0.11826324000000009 y[1] (numeric) 0.11826324000000021 absolute error 1.249000902703301e-16 relative error 1.0561193002181406e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) 0.11998549333333343 y[1] (numeric) 0.11998549333333354 absolute error 1.1102230246251565e-16 relative error 9.252977120665996e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 0.12172438666666674 y[1] (numeric) 0.12172438666666688 absolute error 1.3877787807814457e-16 relative error 1.1400992182296021e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 0.1234800000000001 y[1] (numeric) 0.12348000000000019 absolute error 8.326672684688674e-17 relative error 6.743337127217904e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 0.12525241333333342 y[1] (numeric) 0.12525241333333353 absolute error 1.1102230246251565e-16 relative error 8.863885294333829e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 0.12704170666666678 y[1] (numeric) 0.12704170666666684 absolute error 5.551115123125783e-17 relative error 4.369521843476844e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 0.12884796000000004 y[1] (numeric) 0.12884796000000018 absolute error 1.3877787807814457e-16 relative error 1.0770669405875306e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 0.13067125333333338 y[1] (numeric) 0.1306712533333335 absolute error 1.1102230246251565e-16 relative error 8.496306542595516e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 0.13251166666666672 y[1] (numeric) 0.13251166666666683 absolute error 1.1102230246251565e-16 relative error 8.378303982983809e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 0.13436928000000006 y[1] (numeric) 0.1343692800000002 absolute error 1.3877787807814457e-16 relative error 1.032809568363725e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 0.13624417333333338 y[1] (numeric) 0.13624417333333358 absolute error 1.942890293094024e-16 relative error 1.4260355107741537e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 0.13813642666666673 y[1] (numeric) 0.1381364266666669 absolute error 1.6653345369377348e-16 relative error 1.2055723295610566e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 0.14004612000000005 y[1] (numeric) 0.14004612000000022 absolute error 1.6653345369377348e-16 relative error 1.1891329348772635e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 0.1419733333333334 y[1] (numeric) 0.14197333333333353 absolute error 1.3877787807814457e-16 relative error 9.774925672296053e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 0.14391814666666672 y[1] (numeric) 0.14391814666666686 absolute error 1.3877787807814457e-16 relative error 9.642833881093002e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 0.1458806400000001 y[1] (numeric) 0.1458806400000002 absolute error 1.1102230246251565e-16 relative error 7.610489127448001e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 0.1478608933333334 y[1] (numeric) 0.14786089333333355 absolute error 1.3877787807814457e-16 relative error 9.385705371418773e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 0.14985898666666675 y[1] (numeric) 0.14985898666666686 absolute error 1.1102230246251565e-16 relative error 7.408451433711078e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 0.15187500000000015 y[1] (numeric) 0.1518750000000002 absolute error 5.551115123125783e-17 relative error 3.6550552251033925e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 0.15390901333333346 y[1] (numeric) 0.15390901333333354 absolute error 8.326672684688674e-17 relative error 5.4101267393969395e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 0.1559611066666668 y[1] (numeric) 0.15596110666666688 absolute error 8.326672684688674e-17 relative error 5.338941780199816e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 0.15803136000000015 y[1] (numeric) 0.15803136000000023 absolute error 8.326672684688674e-17 relative error 5.2690002064708336e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 0.16011985333333348 y[1] (numeric) 0.16011985333333356 absolute error 8.326672684688674e-17 relative error 5.2002749886077e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 0.16222666666666682 y[1] (numeric) 0.16222666666666688 absolute error 5.551115123125783e-17 relative error 3.421826532706775e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 0.16435188000000014 y[1] (numeric) 0.1643518800000002 absolute error 5.551115123125783e-17 relative error 3.377579327431957e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 0.16649557333333348 y[1] (numeric) 0.1664955733333335 absolute error 2.7755575615628914e-17 relative error 1.6670458595352978e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 0.16865782666666682 y[1] (numeric) 0.16865782666666687 absolute error 5.551115123125783e-17 relative error 3.29134747721903e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) 0.17083872000000017 y[1] (numeric) 0.17083872000000017 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) 0.1730383333333335 y[1] (numeric) 0.17303833333333352 absolute error 2.7755575615628914e-17 relative error 1.604013115530984e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) 0.17525674666666682 y[1] (numeric) 0.17525674666666682 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) 0.17749404000000019 y[1] (numeric) 0.17749404000000013 absolute error 5.551115123125783e-17 relative error 3.127493815074454e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 0.1797502933333335 y[1] (numeric) 0.1797502933333335 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) 0.18202558666666685 y[1] (numeric) 0.18202558666666682 absolute error 2.7755575615628914e-17 relative error 1.5248172591502825e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) 0.18432000000000018 y[1] (numeric) 0.18432000000000015 absolute error 2.7755575615628914e-17 relative error 1.5058363506743103e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 0.1866336133333335 y[1] (numeric) 0.1866336133333335 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 0.18896650666666684 y[1] (numeric) 0.1889665066666668 absolute error 2.7755575615628914e-17 relative error 1.4688092670617656e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 0.19131876000000017 y[1] (numeric) 0.19131876000000014 absolute error 2.7755575615628914e-17 relative error 1.4507503401981534e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 0.1936904533333335 y[1] (numeric) 0.19369045333333346 absolute error 5.551115123125783e-17 relative error 2.865972497659725e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) 0.19608166666666688 y[1] (numeric) 0.19608166666666677 absolute error 1.1102230246251565e-16 relative error 5.6620440018622613e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) 0.1984924800000002 y[1] (numeric) 0.1984924800000001 absolute error 8.326672684688674e-17 relative error 4.194956244533126e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 0.20092297333333353 y[1] (numeric) 0.20092297333333342 absolute error 1.1102230246251565e-16 relative error 5.525615145975785e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) 0.20337322666666688 y[1] (numeric) 0.20337322666666674 absolute error 1.3877787807814457e-16 relative error 6.823802737102879e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 0.20584332000000022 y[1] (numeric) 0.2058433200000001 absolute error 1.1102230246251565e-16 relative error 5.3935343863728754e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 0.20833333333333348 y[1] (numeric) 0.20833333333333345 absolute error 2.7755575615628914e-17 relative error 1.3322676295501869e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) 0.21084334666666654 y[1] (numeric) 0.21084334666666682 absolute error 2.7755575615628914e-16 relative error 1.316407468124151e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 0.21337343999999958 y[1] (numeric) 0.21337344000000016 absolute error 5.828670879282072e-16 relative error 2.7316759195905937e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 0.21592369333333264 y[1] (numeric) 0.21592369333333347 absolute error 8.326672684688674e-16 relative error 3.856303380210506e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 0.2184941866666657 y[1] (numeric) 0.2184941866666668 absolute error 1.1102230246251565e-15 relative error 5.081247430710413e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) 0.2210849999999987 y[1] (numeric) 0.22108500000000014 absolute error 1.4432899320127035e-15 relative error 6.528212823179826e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) 0.22369621333333173 y[1] (numeric) 0.22369621333333345 absolute error 1.7208456881689926e-15 relative error 7.692779696743213e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) 0.22632790666666477 y[1] (numeric) 0.22632790666666677 absolute error 1.9984014443252818e-15 relative error 8.829673166502277e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) 0.22898015999999782 y[1] (numeric) 0.22898016000000015 absolute error 2.3314683517128287e-15 relative error 1.0181966645987369e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) 0.2316530533333308 y[1] (numeric) 0.2316530533333335 absolute error 2.6922908347160046e-15 relative error 1.1622082230196235e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) 0.23434666666666382 y[1] (numeric) 0.23434666666666684 absolute error 3.0253577421035516e-15 relative error 1.2909753678753364e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) 0.23706107999999684 y[1] (numeric) 0.23706108000000015 absolute error 3.3029134982598407e-15 relative error 1.3932753104220587e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) 0.23979637333332984 y[1] (numeric) 0.2397963733333334 absolute error 3.552713678800501e-15 relative error 1.4815543827520853e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) 0.24255262666666288 y[1] (numeric) 0.24255262666666672 absolute error 3.83026943495679e-15 relative error 1.5791498478475281e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) 0.24532991999999587 y[1] (numeric) 0.24532992 absolute error 4.135580766728708e-15 relative error 1.6857221356158995e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) 0.24812833333332887 y[1] (numeric) 0.2481283333333333 absolute error 4.440892098500626e-15 relative error 1.789756147088149e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 0.25094794666666187 y[1] (numeric) 0.2509479466666666 absolute error 4.718447854656915e-15 relative error 1.880249636361641e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) 0.25378883999999485 y[1] (numeric) 0.25378883999999985 absolute error 4.9960036108132044e-15 relative error 1.9685671012221443e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) 0.2566510933333278 y[1] (numeric) 0.2566510933333332 absolute error 5.384581669432009e-15 relative error 2.098016259934158e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) 0.2595347866666608 y[1] (numeric) 0.2595347866666665 absolute error 5.717648576819556e-15 relative error 2.203037461857914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) 0.26243999999999373 y[1] (numeric) 0.2624399999999998 absolute error 6.050715484207103e-15 relative error 2.3055614556497665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) 0.2653668133333267 y[1] (numeric) 0.2653668133333331 absolute error 6.439293542825908e-15 relative error 2.4265632397437447e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) 0.26831530666665965 y[1] (numeric) 0.26831530666666636 absolute error 6.716849298982197e-15 relative error 2.503341826609559e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) 0.27128555999999265 y[1] (numeric) 0.2712855599999996 absolute error 6.938893903907228e-15 relative error 2.557782251258569e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) 0.2742776533333256 y[1] (numeric) 0.27427765333333287 absolute error 7.271960811294775e-15 relative error 2.651313631613024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) 0.27729166666665855 y[1] (numeric) 0.27729166666666616 absolute error 7.605027718682322e-15 relative error 2.7426095454302192e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) 0.2803276799999915 y[1] (numeric) 0.2803276799999994 absolute error 7.93809462606987e-15 relative error 2.831719873709978e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) 0.28338577333332443 y[1] (numeric) 0.2833857733333326 absolute error 8.1601392309949e-15 relative error 2.879516192718951e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) 0.2864660266666573 y[1] (numeric) 0.2864660266666658 absolute error 8.493206138382448e-15 relative error 2.9648214265440496e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) 0.2895685199999903 y[1] (numeric) 0.2895685199999991 absolute error 8.826273045769994e-15 relative error 3.048077548543706e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) 0.29269333333332315 y[1] (numeric) 0.29269333333333236 absolute error 9.2148511043888e-15 relative error 3.148295521269971e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) 0.29584054666665605 y[1] (numeric) 0.29584054666666554 absolute error 9.492406860545088e-15 relative error 3.2086226744438915e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) 0.299010239999989 y[1] (numeric) 0.29901023999999876 absolute error 9.769962616701378e-15 relative error 3.2674341242299053e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) 0.3022024933333219 y[1] (numeric) 0.3022024933333321 absolute error 1.021405182655144e-14 relative error 3.3798701373669983e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) 0.3054173866666548 y[1] (numeric) 0.30541738666666535 absolute error 1.0547118733938987e-14 relative error 3.4533458782589055e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) 0.30865499999998763 y[1] (numeric) 0.3086549999999986 absolute error 1.099120794378905e-14 relative error 3.5610010995413943e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) 0.31191541333332057 y[1] (numeric) 0.31191541333333195 absolute error 1.1379786002407855e-14 relative error 3.648356418426534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) 0.31519870666665345 y[1] (numeric) 0.3151987066666652 absolute error 1.176836406102666e-14 relative error 3.73363335956597e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) 0.31850495999998635 y[1] (numeric) 0.31850495999999845 absolute error 1.2101430968414206e-14 relative error 3.799448199618218e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) 0.32183425333331916 y[1] (numeric) 0.32183425333333165 absolute error 1.2490009027033011e-14 relative error 3.8808824410922125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) 0.325186666666652 y[1] (numeric) 0.3251866666666649 absolute error 1.2878587085651816e-14 relative error 3.960367507580999e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) 0.3285622799999849 y[1] (numeric) 0.3285622799999982 absolute error 1.3322676295501878e-14 relative error 4.054840469058862e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) 0.33196117333331776 y[1] (numeric) 0.33196117333333147 absolute error 1.3711254354120683e-14 relative error 4.13037892848794e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) 0.3353834266666506 y[1] (numeric) 0.33538342666666476 absolute error 1.4155343563970746e-14 relative error 4.220644921145802e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) 0.33882911999998344 y[1] (numeric) 0.3388291199999979 absolute error 1.4432899320127035e-14 relative error 4.259639584734553e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) 0.3422983333333163 y[1] (numeric) 0.342298333333331 absolute error 1.4710455076283324e-14 relative error 4.297553813082367e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) 0.3457911466666491 y[1] (numeric) 0.3457911466666642 absolute error 1.509903313490213e-14 relative error 4.3665181368735145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) 0.34930763999998193 y[1] (numeric) 0.3493076399999973 absolute error 1.5376588891058418e-14 relative error 4.402019060063849e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) 0.3528478933333148 y[1] (numeric) 0.35284789333333055 absolute error 1.5765166949677223e-14 relative error 4.467978198975611e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) 0.3564119866666476 y[1] (numeric) 0.35641198666666385 absolute error 1.6264767310758543e-14 relative error 4.563473709982429e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) 0.3599999999999804 y[1] (numeric) 0.3599999999999971 absolute error 1.6708856520608606e-14 relative error 4.641349033502643e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) 0.3636120133333134 y[1] (numeric) 0.3636120133333304 absolute error 1.6986412276764895e-14 relative error 4.671576200424904e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) 0.3672481066666462 y[1] (numeric) 0.36724810666666363 absolute error 1.7430501486614958e-14 relative error 4.746246793434595e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) 0.370908359999979 y[1] (numeric) 0.37090835999999694 absolute error 1.7930101847696278e-14 relative error 4.834105612420624e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) 0.37459285333331177 y[1] (numeric) 0.37459285333333014 absolute error 1.837419105754634e-14 relative error 4.9051098797117284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) 0.37830166666664455 y[1] (numeric) 0.37830166666666326 absolute error 1.8707257964933888e-14 relative error 4.945063586362289e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) 0.3820348799999773 y[1] (numeric) 0.38203487999999636 absolute error 1.9040324872321435e-14 relative error 4.9839231622836545e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y[1] (closed_form) 0.3857925733333101 y[1] (numeric) 0.38579257333332956 absolute error 1.9484414082171497e-14 relative error 5.0504896747552745e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) 0.3895748266666429 y[1] (numeric) 0.3895748266666626 absolute error 1.970645868709653e-14 relative error 5.05845278959958e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) 0.3933817199999756 y[1] (numeric) 0.3933817199999958 absolute error 2.020605904817785e-14 relative error 5.136501779538485e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) 0.3972133333333084 y[1] (numeric) 0.39721333333332903 absolute error 2.0650148258027912e-14 relative error 5.198755058078583e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) 0.40106974666664114 y[1] (numeric) 0.40106974666666223 absolute error 2.1094237467877974e-14 relative error 5.259493552728863e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) 0.4049510399999739 y[1] (numeric) 0.40495103999999543 absolute error 2.1538326677728037e-14 relative error 5.318748330101689e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) 0.4088572933333066 y[1] (numeric) 0.4088572933333286 absolute error 2.19824158875781e-14 relative error 5.37654977568364e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) 0.4127885866666393 y[1] (numeric) 0.41278858666666174 absolute error 2.2426505097428162e-14 relative error 5.432927610360363e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y[1] (closed_form) 0.416744999999972 y[1] (numeric) 0.41674499999999487 absolute error 2.2870594307278225e-14 relative error 5.487910906496721e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y[1] (closed_form) 0.4207266133333048 y[1] (numeric) 0.42072661333332806 absolute error 2.325917236589703e-14 relative error 5.528333989053083e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) 0.42473350666663745 y[1] (numeric) 0.42473350666666126 absolute error 2.3814283878209608e-14 relative error 5.606876666055178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) 0.42876575999997013 y[1] (numeric) 0.4287657599999945 absolute error 2.4369395390522186e-14 relative error 5.683615079367318e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) 0.4328234533333029 y[1] (numeric) 0.43282345333332767 absolute error 2.475797344914099e-14 relative error 5.720109032556446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) 0.4369066666666356 y[1] (numeric) 0.4369066666666608 absolute error 2.5202062658991053e-14 relative error 5.768294370802196e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) 0.44101547999996826 y[1] (numeric) 0.4410154799999939 absolute error 2.5646151868841116e-14 relative error 5.8152498113769074e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) 0.44514997333330086 y[1] (numeric) 0.44514997333332695 absolute error 2.609024107869118e-14 relative error 5.86100025645883e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) 0.4493102266666336 y[1] (numeric) 0.4493102266666601 absolute error 2.6478819137309983e-14 relative error 5.893215325578597e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) 0.45349631999996626 y[1] (numeric) 0.45349631999999324 absolute error 2.6978419498391304e-14 relative error 5.948983113775501e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) 0.45770833333329897 y[1] (numeric) 0.4577083333333263 absolute error 2.731148640577885e-14 relative error 5.9670065884273245e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) 0.46194634666663154 y[1] (numeric) 0.46194634666665946 absolute error 2.7922109069322687e-14 relative error 6.0444485102667066e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) 0.4662104399999642 y[1] (numeric) 0.46621043999999257 absolute error 2.836619827917275e-14 relative error 6.084419362032075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) 0.4705006933332969 y[1] (numeric) 0.47050069333332567 absolute error 2.8754776337791554e-14 relative error 6.111526878754677e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) 0.4748171866666295 y[1] (numeric) 0.4748171866666587 absolute error 2.919886554764162e-14 relative error 6.149496346715483e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) 0.4791599999999621 y[1] (numeric) 0.4791599999999917 absolute error 2.958744360626042e-14 relative error 6.174856750618324e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) 0.4835292133332947 y[1] (numeric) 0.4835292133333248 absolute error 3.0142555118573e-14 relative error 6.2338643224428846e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) 0.4879249066666274 y[1] (numeric) 0.48792490666665794 absolute error 3.0531133177191805e-14 relative error 6.257342627940916e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) 0.49234715999996 y[1] (numeric) 0.492347159999991 absolute error 3.1030733538273125e-14 relative error 6.302612477398194e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) 0.4967960533332925 y[1] (numeric) 0.49679605333332416 absolute error 3.164135620181696e-14 relative error 6.3690836490178965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) 0.5012716666666251 y[1] (numeric) 0.5012716666666572 absolute error 3.2085445411667024e-14 relative error 6.400809689689825e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) 0.5057740799999577 y[1] (numeric) 0.5057740799999904 absolute error 3.26405569239796e-14 relative error 6.453584360033304e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) 0.5103033733332903 y[1] (numeric) 0.5103033733333235 absolute error 3.319566843629218e-14 relative error 6.505085047637214e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) 0.5148596266666229 y[1] (numeric) 0.5148596266666566 absolute error 3.375077994860476e-14 relative error 6.555336289838618e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) 0.5194429199999555 y[1] (numeric) 0.5194429199999897 absolute error 3.419486915845482e-14 relative error 6.582988783148252e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) 0.524053333333288 y[1] (numeric) 0.5240533333333228 absolute error 3.4861002973229915e-14 relative error 6.652186095543634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y[1] (closed_form) 0.5286909466666205 y[1] (numeric) 0.528690946666656 absolute error 3.5416114485542494e-14 relative error 6.6988312754057846e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y[1] (closed_form) 0.5333558399999532 y[1] (numeric) 0.5333558399999889 absolute error 3.574918139293004e-14 relative error 6.7026886577136155e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y[1] (closed_form) 0.5380480933332857 y[1] (numeric) 0.538048093333322 absolute error 3.630429290524262e-14 relative error 6.747406664027425e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y[1] (closed_form) 0.5427677866666182 y[1] (numeric) 0.5427677866666549 absolute error 3.674838211509268e-14 relative error 6.77055326749973e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y[1] (closed_form) 0.5475149999999507 y[1] (numeric) 0.5475149999999879 absolute error 3.7192471324942744e-14 relative error 6.7929593390036974e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y[1] (closed_form) 0.5522898133332832 y[1] (numeric) 0.5522898133333211 absolute error 3.785860513971784e-14 relative error 6.854844001417748e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y[1] (closed_form) 0.5570923066666158 y[1] (numeric) 0.5570923066666542 absolute error 3.8413716652030416e-14 relative error 6.895395285905209e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y[1] (closed_form) 0.5619225599999482 y[1] (numeric) 0.5619225599999873 absolute error 3.907985046680551e-14 relative error 6.954668356224941e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y[1] (closed_form) 0.5667806533332808 y[1] (numeric) 0.5667806533333204 absolute error 3.963496197911809e-14 relative error 6.992998392944752e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y[1] (closed_form) 0.5716666666666133 y[1] (numeric) 0.5716666666666534 absolute error 4.0190073491430667e-14 relative error 7.0303335553529604e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y[1] (closed_form) 0.5765806799999458 y[1] (numeric) 0.5765806799999864 absolute error 4.063416270128073e-14 relative error 7.047437437772724e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y[1] (closed_form) 0.5815227733332783 y[1] (numeric) 0.5815227733333194 absolute error 4.107825191113079e-14 relative error 7.063911130370867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y[1] (closed_form) 0.5864930266666106 y[1] (numeric) 0.5864930266666524 absolute error 4.1744385725905886e-14 relative error 7.117626950002135e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y[1] (closed_form) 0.5914915199999431 y[1] (numeric) 0.5914915199999855 absolute error 4.241051954068098e-14 relative error 7.170097644119236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y[1] (closed_form) 0.5965183333332756 y[1] (numeric) 0.5965183333333185 absolute error 4.285460875053104e-14 relative error 7.184122659074774e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y[1] (closed_form) 0.6015735466666081 y[1] (numeric) 0.6015735466666515 absolute error 4.340972026284362e-14 relative error 7.2160287804179785e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y[1] (closed_form) 0.6066572399999405 y[1] (numeric) 0.6066572399999846 absolute error 4.4075854077618715e-14 relative error 7.265363564707979e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y[1] (closed_form) 0.6117694933332729 y[1] (numeric) 0.6117694933333174 absolute error 4.451994328746878e-14 relative error 7.277241472911383e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y[1] (closed_form) 0.6169103866666054 y[1] (numeric) 0.6169103866666504 absolute error 4.5075054799781356e-14 relative error 7.306580627267198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y[1] (closed_form) 0.6220799999999378 y[1] (numeric) 0.6220799999999835 absolute error 4.574118861455645e-14 relative error 7.352943128626708e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y[1] (closed_form) 0.6272784133332703 y[1] (numeric) 0.6272784133333166 absolute error 4.629630012686903e-14 relative error 7.380502683147811e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y[1] (closed_form) 0.6325057066666027 y[1] (numeric) 0.6325057066666494 absolute error 4.674038933671909e-14 relative error 7.389718202393423e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y[1] (closed_form) 0.637761959999935 y[1] (numeric) 0.6377619599999824 absolute error 4.7406523151494184e-14 relative error 7.433262898197787e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y[1] (closed_form) 0.6430472533332674 y[1] (numeric) 0.6430472533333155 absolute error 4.807265696626928e-14 relative error 7.475758074866547e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y[1] (closed_form) 0.6483616666665998 y[1] (numeric) 0.6483616666666484 absolute error 4.8627768478581856e-14 relative error 7.500099246858653e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y[1] (closed_form) 0.6537052799999321 y[1] (numeric) 0.6537052799999812 absolute error 4.907185768843192e-14 relative error 7.506725001278407e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y[1] (closed_form) 0.6590781733332645 y[1] (numeric) 0.6590781733333141 absolute error 4.96269692007445e-14 relative error 7.52975461920668e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y[1] (closed_form) 0.6644804266665969 y[1] (numeric) 0.6644804266666472 absolute error 5.029310301551959e-14 relative error 7.568786227130534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y[1] (closed_form) 0.6699121199999293 y[1] (numeric) 0.6699121199999802 absolute error 5.0959236830294685e-14 relative error 7.606853990087546e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y[1] (closed_form) 0.6753733333332617 y[1] (numeric) 0.6753733333333133 absolute error 5.162537064506978e-14 relative error 7.643975279609587e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y[1] (closed_form) 0.6808641466665939 y[1] (numeric) 0.6808641466666464 absolute error 5.2513549064769904e-14 relative error 7.712779314620716e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y[1] (closed_form) 0.6863846399999263 y[1] (numeric) 0.6863846399999793 absolute error 5.306866057708248e-14 relative error 7.731621234573108e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y[1] (closed_form) 0.6919348933332585 y[1] (numeric) 0.6919348933333122 absolute error 5.362377208939506e-14 relative error 7.749829153877935e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y[1] (closed_form) 0.6975149866665908 y[1] (numeric) 0.6975149866666451 absolute error 5.4289905904170155e-14 relative error 7.783331819667481e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y[1] (closed_form) 0.7031249999999233 y[1] (numeric) 0.7031249999999781 absolute error 5.484501741648273e-14 relative error 7.800180254789507e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y[1] (closed_form) 0.7087650133332556 y[1] (numeric) 0.7087650133333112 absolute error 5.562217353372034e-14 relative error 7.847759481260856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y[1] (closed_form) 0.7144351066665878 y[1] (numeric) 0.7144351066666441 absolute error 5.6288307348495437e-14 relative error 7.878715200758469e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y[1] (closed_form) 0.7201353599999201 y[1] (numeric) 0.7201353599999771 absolute error 5.706546346573305e-14 relative error 7.924269052104229e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y[1] (closed_form) 0.7258658533332524 y[1] (numeric) 0.7258658533333101 absolute error 5.773159728050814e-14 relative error 7.95348024919461e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y[1] (closed_form) 0.7316266666665846 y[1] (numeric) 0.7316266666666431 absolute error 5.850875339774575e-14 relative error 7.997077753374077e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y[1] (closed_form) 0.7374178799999169 y[1] (numeric) 0.737417879999976 absolute error 5.906386491005833e-14 relative error 8.009551505594763e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y[1] (closed_form) 0.7432395733332491 y[1] (numeric) 0.7432395733333089 absolute error 5.984102102729594e-14 relative error 8.051377129843003e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y[1] (closed_form) 0.7490918266665814 y[1] (numeric) 0.7490918266666416 absolute error 6.0285110237146e-14 relative error 8.047759712639173e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y[1] (closed_form) 0.7549747199999136 y[1] (numeric) 0.7549747199999745 absolute error 6.084022174945858e-14 relative error 8.058577345406419e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y[1] (closed_form) 0.7608883333332459 y[1] (numeric) 0.7608883333333072 absolute error 6.128431095930864e-14 relative error 8.054310767368275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y[1] (closed_form) 0.7668327466665781 y[1] (numeric) 0.7668327466666399 absolute error 6.183942247162122e-14 relative error 8.064264696628723e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y[1] (closed_form) 0.7728080399999103 y[1] (numeric) 0.7728080399999727 absolute error 6.23945339839338e-14 relative error 8.073742864261742e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y[1] (closed_form) 0.7788142933332425 y[1] (numeric) 0.7788142933333057 absolute error 6.317169010117141e-14 relative error 8.111264860176523e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y[1] (closed_form) 0.7848515866665747 y[1] (numeric) 0.7848515866666385 absolute error 6.372680161348399e-14 relative error 8.119599003952422e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y[1] (closed_form) 0.7909199999999069 y[1] (numeric) 0.7909199999999712 absolute error 6.428191312579656e-14 relative error 8.127486108051905e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y[1] (closed_form) 0.797019613333239 y[1] (numeric) 0.7970196133333038 absolute error 6.483702463810914e-14 relative error 8.134934643195582e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y[1] (closed_form) 0.8031505066665713 y[1] (numeric) 0.8031505066666367 absolute error 6.539213615042172e-14 relative error 8.14195292260076e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y[1] (closed_form) 0.8093127599999034 y[1] (numeric) 0.8093127599999694 absolute error 6.605826996519681e-14 relative error 8.162267201273917e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y[1] (closed_form) 0.8155064533332356 y[1] (numeric) 0.8155064533333024 absolute error 6.683542608243442e-14 relative error 8.195572923948876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y[1] (closed_form) 0.8217316666665677 y[1] (numeric) 0.8217316666666353 absolute error 6.761258219967203e-14 relative error 8.228060928204079e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y[1] (closed_form) 0.8279884799998998 y[1] (numeric) 0.8279884799999679 absolute error 6.816769371198461e-14 relative error 8.232927795323053e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y[1] (closed_form) 0.8342769733332319 y[1] (numeric) 0.8342769733333006 absolute error 6.872280522429719e-14 relative error 8.237408848733443e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y[1] (closed_form) 0.840597226666564 y[1] (numeric) 0.8405972266666336 absolute error 6.961098364399732e-14 relative error 8.281134107477801e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y[1] (closed_form) 0.8469493199998962 y[1] (numeric) 0.8469493199999664 absolute error 7.016609515630989e-14 relative error 8.284568332414328e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) 0.8533333333332282 y[1] (numeric) 0.8533333333332993 absolute error 7.105427357601002e-14 relative error 8.3266726846897e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) 0.8597493466665606 y[1] (numeric) 0.8597493466666319 absolute error 7.138734048339757e-14 relative error 8.303273594819485e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) 0.8661974399998925 y[1] (numeric) 0.8661974399999647 absolute error 7.216449660063518e-14 relative error 8.331183315508775e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) 0.8726776933332246 y[1] (numeric) 0.8726776933332976 absolute error 7.294165271787278e-14 relative error 8.358372544079757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) 0.8791901866665568 y[1] (numeric) 0.8791901866666304 absolute error 7.360778653264788e-14 relative error 8.372225674143528e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) 0.8857349999998887 y[1] (numeric) 0.8857349999999631 absolute error 7.438494264988549e-14 relative error 8.398103569340134e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) 0.8923122133332209 y[1] (numeric) 0.8923122133332957 absolute error 7.482903185973555e-14 relative error 8.38596970226516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) 0.8989219066665529 y[1] (numeric) 0.8989219066666284 absolute error 7.549516567451064e-14 relative error 8.398412043874564e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) 0.9055641599998848 y[1] (numeric) 0.9055641599999611 absolute error 7.627232179174825e-14 relative error 8.422630351421809e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) 0.912239053333217 y[1] (numeric) 0.912239053333294 absolute error 7.704947790898586e-14 relative error 8.446193750142125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) 0.918946666666549 y[1] (numeric) 0.9189466666666269 absolute error 7.793765632868599e-14 relative error 8.481194736948386e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) 0.9256870799998811 y[1] (numeric) 0.9256870799999596 absolute error 7.849276784099857e-14 relative error 8.479406220189295e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) 0.9324603733332131 y[1] (numeric) 0.9324603733332922 absolute error 7.915890165577366e-14 relative error 8.489251009435268e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) 0.939266626666545 y[1] (numeric) 0.9392666266666251 absolute error 8.004708007547379e-14 relative error 8.522295778735446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) 0.9461059199998769 y[1] (numeric) 0.9461059199999577 absolute error 8.08242361927114e-14 relative error 8.542831672876745e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) 0.9529783333332089 y[1] (numeric) 0.9529783333332904 absolute error 8.149037000748649e-14 relative error 8.551125157532136e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) 0.9598839466665409 y[1] (numeric) 0.9598839466666231 absolute error 8.22675261247241e-14 relative error 8.570570058018009e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) 0.9668228399998728 y[1] (numeric) 0.9668228399999558 absolute error 8.293365993949919e-14 relative error 8.577958288564025e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) 0.9737950933332048 y[1] (numeric) 0.9737950933332887 absolute error 8.393286066166183e-14 relative error 8.619150089816935e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) 0.9808007866665368 y[1] (numeric) 0.9808007866666214 absolute error 8.459899447643693e-14 relative error 8.62550230653514e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) 0.9878399999998687 y[1] (numeric) 0.9878399999999542 absolute error 8.548717289613705e-14 relative error 8.653949313264133e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) 0.9949128133332007 y[1] (numeric) 0.9949128133332868 absolute error 8.615330671091215e-14 relative error 8.659382566626873e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) 1.0020193066665326 y[1] (numeric) 1.0020193066666196 absolute error 8.704148513061227e-14 relative error 8.68660758844832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) 1.0091595599998646 y[1] (numeric) 1.0091595599999525 absolute error 8.79296635503124e-14 relative error 8.713157664613928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) 1.0163336533331964 y[1] (numeric) 1.0163336533332854 absolute error 8.903988657493755e-14 relative error 8.76089129617226e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) 1.0235416666665282 y[1] (numeric) 1.0235416666666182 absolute error 8.992806499463768e-14 relative error 8.785970119566849e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) 1.0307836799998602 y[1] (numeric) 1.030783679999951 absolute error 9.08162434143378e-14 relative error 8.810407574007198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) 1.038059773333192 y[1] (numeric) 1.038059773333284 absolute error 9.192646643896296e-14 relative error 8.855604349621282e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) 1.045370026666524 y[1] (numeric) 1.0453700266666164 absolute error 9.237055564881302e-14 relative error 8.836158804300545e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) 1.0527145199998558 y[1] (numeric) 1.052714519999949 absolute error 9.325873406851315e-14 relative error 8.858881709784522e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) 1.0600933333331874 y[1] (numeric) 1.060093333333281 absolute error 9.348077867343818e-14 relative error 8.818164942091676e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) 1.0675065466665195 y[1] (numeric) 1.0675065466666136 absolute error 9.414691248821327e-14 relative error 8.819328816502707e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) 1.074954239999851 y[1] (numeric) 1.074954239999946 absolute error 9.50350909079134e-14 relative error 8.840849905194715e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) 1.082436493333183 y[1] (numeric) 1.0824364933332788 absolute error 9.592326932761353e-14 relative error 8.861791885104852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) 1.089953386666515 y[1] (numeric) 1.0899533866666113 absolute error 9.636735853746359e-14 relative error 8.841420166800986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) 1.0975049999998467 y[1] (numeric) 1.0975049999999442 absolute error 9.747758156208874e-14 relative error 8.881743733477511e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) 1.1050914133331784 y[1] (numeric) 1.105091413333277 absolute error 9.85878045867139e-14 relative error 8.921235238753075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) 1.1127127066665103 y[1] (numeric) 1.1127127066666096 absolute error 9.9253938401489e-14 relative error 8.919996851553548e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) 1.120368959999842 y[1] (numeric) 1.1203689599999425 absolute error 1.0036416142611415e-13 relative error 8.95813477607665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) 1.1280602533331738 y[1] (numeric) 1.128060253333275 absolute error 1.0125233984581428e-13 relative error 8.975791811353652e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) 1.1357866666665055 y[1] (numeric) 1.1357866666666072 absolute error 1.0169642905566434e-13 relative error 8.95383191582446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) 1.1435482799998373 y[1] (numeric) 1.14354827999994 absolute error 1.0258460747536446e-13 relative error 8.97072815109993e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) 1.151345173333169 y[1] (numeric) 1.1513451733332722 absolute error 1.0325074129013956e-13 relative error 8.967835509417775e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) 1.159177426666501 y[1] (numeric) 1.1591774266666048 absolute error 1.0391687510491465e-13 relative error 8.964708310767673e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) 1.1670451199998324 y[1] (numeric) 1.1670451199999374 absolute error 1.0502709812953981e-13 relative error 8.999403393208559e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) 1.1749483333331643 y[1] (numeric) 1.1749483333332698 absolute error 1.0547118733938987e-13 relative error 8.976665981574087e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) 1.1828871466664959 y[1] (numeric) 1.1828871466666022 absolute error 1.0635936575909e-13 relative error 8.991505745820488e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) 1.1908616399998275 y[1] (numeric) 1.1908616399999346 absolute error 1.0702549957386509e-13 relative error 8.987232099766064e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) 1.1988718933331592 y[1] (numeric) 1.1988718933332672 absolute error 1.0791367799356522e-13 relative error 9.001268491960271e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) 1.206917986666491 y[1] (numeric) 1.2069179866665996 absolute error 1.0857981180834031e-13 relative error 8.996453197970633e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) 1.2149999999998227 y[1] (numeric) 1.2149999999999321 absolute error 1.0946799022804043e-13 relative error 9.009711129881187e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) 1.223118013333154 y[1] (numeric) 1.2231180133332644 absolute error 1.1035616864774056e-13 relative error 9.0225282797533e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) 1.2312721066664858 y[1] (numeric) 1.231272106666597 absolute error 1.1124434706744069e-13 relative error 9.034911654794223e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) 1.2394623599998176 y[1] (numeric) 1.239462359999929 absolute error 1.1146639167236572e-13 relative error 8.993124379540022e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) 1.2476888533331492 y[1] (numeric) 1.2476888533332615 absolute error 1.1235457009206584e-13 relative error 9.005015135938359e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) 1.2559516666664807 y[1] (numeric) 1.2559516666665942 absolute error 1.13464793116691e-13 relative error 9.034168760478399e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) 1.2642508799998122 y[1] (numeric) 1.2642508799999266 absolute error 1.1435297153639112e-13 relative error 9.045117021109616e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) 1.2725865733331438 y[1] (numeric) 1.2725865733332589 absolute error 1.1501910535116622e-13 relative error 9.038214590769217e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) 1.2809588266664755 y[1] (numeric) 1.2809588266665912 absolute error 1.156852391659413e-13 relative error 9.031144230216728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) 1.289367719999807 y[1] (numeric) 1.2893677199999238 absolute error 1.1679546219056647e-13 relative error 9.058351653986184e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) 1.2978133333331385 y[1] (numeric) 1.2978133333332569 absolute error 1.1834977442504169e-13 relative error 9.119167709664933e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) 1.3062957466664702 y[1] (numeric) 1.3062957466665892 absolute error 1.1901590823981678e-13 relative error 9.110946624723605e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) 1.3148150399998015 y[1] (numeric) 1.3148150399999219 absolute error 1.2034817586936697e-13 relative error 9.153239977341995e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) 1.3233712933331332 y[1] (numeric) 1.3233712933332547 absolute error 1.2145839889399213e-13 relative error 9.177953270248044e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) 1.3319645866664647 y[1] (numeric) 1.331964586666587 absolute error 1.2234657731369225e-13 relative error 9.185422686040893e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) 1.3405949999997961 y[1] (numeric) 1.3405949999999196 absolute error 1.234568003383174e-13 relative error 9.209104937608762e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) 1.3492626133331276 y[1] (numeric) 1.349262613333252 absolute error 1.2434497875801753e-13 relative error 9.215772936214697e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) 1.3579675066664592 y[1] (numeric) 1.3579675066665842 absolute error 1.2501111257279263e-13 relative error 9.205751386472428e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) 1.3667097599997908 y[1] (numeric) 1.3667097599999165 absolute error 1.2567724638756772e-13 relative error 9.195606123979605e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) 1.3754894533331221 y[1] (numeric) 1.3754894533332491 absolute error 1.270095140171179e-13 relative error 9.233768656629472e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) 1.3843066666664536 y[1] (numeric) 1.384306666666581 absolute error 1.2745360322696797e-13 relative error 9.207035283149272e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) 1.3931614799997851 y[1] (numeric) 1.3931614799999137 absolute error 1.2856382625159313e-13 relative error 9.228207074144267e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) 1.4020539733331165 y[1] (numeric) 1.4020539733332458 absolute error 1.2922996006636822e-13 relative error 9.217188676349498e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) 1.410984226666448 y[1] (numeric) 1.4109842266665784 absolute error 1.3034018309099338e-13 relative error 9.237536510165777e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) 1.4199523199997794 y[1] (numeric) 1.4199523199999111 absolute error 1.3167245072054357e-13 relative error 9.273019161697205e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) 1.4289583333331108 y[1] (numeric) 1.4289583333332434 absolute error 1.325606291402437e-13 relative error 9.276731591679091e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) 1.4380023466664422 y[1] (numeric) 1.438002346666576 absolute error 1.3367085216486885e-13 relative error 9.295593465111015e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) 1.4470844399997735 y[1] (numeric) 1.4470844399999083 absolute error 1.34781075189494e-13 relative error 9.31397446229987e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) 1.456204693333105 y[1] (numeric) 1.4562046933332407 absolute error 1.3566925360919413e-13 relative error 9.316633453409695e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) 1.4653631866664363 y[1] (numeric) 1.4653631866665733 absolute error 1.3700152123874432e-13 relative error 9.349321894076644e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) 1.4745599999997676 y[1] (numeric) 1.474559999999906 absolute error 1.383337888682945e-13 relative error 9.38136046470244e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) 1.483795213333099 y[1] (numeric) 1.4837952133332384 absolute error 1.3944401189291966e-13 relative error 9.397793620029404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) 1.4930689066664302 y[1] (numeric) 1.4930689066665708 absolute error 1.4055423491754482e-13 relative error 9.413780856997401e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) 1.5023811599997616 y[1] (numeric) 1.5023811599999033 absolute error 1.4166445794216997e-13 relative error 9.429328702590523e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) 1.511732053333093 y[1] (numeric) 1.5117320533332357 absolute error 1.4277468096679513e-13 relative error 9.444443587208663e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) 1.5211216666664242 y[1] (numeric) 1.5211216666665681 absolute error 1.438849039914203e-13 relative error 9.459131846221586e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) 1.5305500799997556 y[1] (numeric) 1.5305500799999006 absolute error 1.4499512701604544e-13 relative error 9.473399721495465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) 1.5400173733330866 y[1] (numeric) 1.5400173733332332 absolute error 1.4654943925052066e-13 relative error 9.516089999253784e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) 1.549523626666418 y[1] (numeric) 1.5495236266665655 absolute error 1.474376176702208e-13 relative error 9.515028692231822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) 1.5590689199997494 y[1] (numeric) 1.5590689199998977 absolute error 1.4832579608992091e-13 relative error 9.513742092296006e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) 1.5686533333330808 y[1] (numeric) 1.5686533333332298 absolute error 1.48991929904696e-13 relative error 9.498078813125483e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) 1.578276946666412 y[1] (numeric) 1.578276946666562 absolute error 1.5010215292932116e-13 relative error 9.5105078513858e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) 1.587939839999743 y[1] (numeric) 1.587939839999894 absolute error 1.509903313490213e-13 relative error 9.508567487609967e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) 1.5976420933330744 y[1] (numeric) 1.5976420933332263 absolute error 1.5187850976872141e-13 relative error 9.506416387156243e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) 1.6073837866664054 y[1] (numeric) 1.6073837866665586 absolute error 1.532107773982716e-13 relative error 9.531686126809789e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) 1.6171649999997366 y[1] (numeric) 1.617164999999891 absolute error 1.5432100042289676e-13 relative error 9.542687383348136e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) 1.626985813333068 y[1] (numeric) 1.6269858133332233 absolute error 1.5543122344752192e-13 relative error 9.553323831945599e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) 1.6368463066663992 y[1] (numeric) 1.6368463066665555 absolute error 1.5631940186722204e-13 relative error 9.550035408369042e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) 1.6467465599997302 y[1] (numeric) 1.6467465599998876 absolute error 1.574296248918472e-13 relative error 9.560039699847497e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) 1.6566866533330613 y[1] (numeric) 1.6566866533332196 absolute error 1.5831780331154732e-13 relative error 9.556291347734966e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) 1.6666666666663925 y[1] (numeric) 1.666666666666552 absolute error 1.5942802633617248e-13 relative error 9.565681580171922e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) 1.6766866799997235 y[1] (numeric) 1.676686679999884 absolute error 1.6053824936079764e-13 relative error 9.574731598680327e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) 1.6867467733330548 y[1] (numeric) 1.6867467733332164 absolute error 1.616484723854228e-13 relative error 9.583446367945396e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) 1.6968470266663858 y[1] (numeric) 1.6968470266665485 absolute error 1.6275869541004795e-13 relative error 9.591830780986933e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) 1.7069875199997169 y[1] (numeric) 1.7069875199998807 absolute error 1.638689184346731e-13 relative error 9.599889660277088e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) 1.7171683333330479 y[1] (numeric) 1.7171683333332128 absolute error 1.6497914145929826e-13 relative error 9.607627758838961e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) 1.7273895466663791 y[1] (numeric) 1.727389546666545 absolute error 1.6586731987899839e-13 relative error 9.602195416725728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) 1.7376512399997102 y[1] (numeric) 1.7376512399998771 absolute error 1.6697754290362354e-13 relative error 9.609381851772016e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) 1.7479534933330414 y[1] (numeric) 1.7479534933332095 absolute error 1.680877659282487e-13 relative error 9.616260762621021e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) 1.7582963866663723 y[1] (numeric) 1.7582963866665415 absolute error 1.6919798895287386e-13 relative error 9.62283664096378e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) 1.7686799999997032 y[1] (numeric) 1.768679999999874 absolute error 1.7075230118734908e-13 relative error 9.654222425050192e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) 1.7791044133330345 y[1] (numeric) 1.7791044133332061 absolute error 1.716404796070492e-13 relative error 9.647577641915469e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) 1.7895697066663652 y[1] (numeric) 1.7895697066665384 absolute error 1.7319479184152442e-13 relative error 9.678013166872054e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) 1.8000759599996963 y[1] (numeric) 1.8000759599998706 absolute error 1.7430501486614958e-13 relative error 9.683203305830438e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) 1.8106232533330273 y[1] (numeric) 1.810623253333203 absolute error 1.7563728249569976e-13 relative error 9.700377048200587e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) 1.821211666666358 y[1] (numeric) 1.8212116666665352 absolute error 1.7719159473017498e-13 relative error 9.729324601489942e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) 1.8318412799996895 y[1] (numeric) 1.8318412799998673 absolute error 1.7785772854495008e-13 relative error 9.709232480282366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) 1.84251217333302 y[1] (numeric) 1.8425121733331997 absolute error 1.7963408538435033e-13 relative error 9.749411047819592e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) 1.8532244266663511 y[1] (numeric) 1.8532244266665319 absolute error 1.8074430840897548e-13 relative error 9.752963850908498e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) 1.8639781199996819 y[1] (numeric) 1.863978119999864 absolute error 1.8207657603852567e-13 relative error 9.768171315152388e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) 1.874773333333013 y[1] (numeric) 1.8747733333331962 absolute error 1.8318679906315083e-13 relative error 9.77114383942497e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) 1.8856101466663437 y[1] (numeric) 1.8856101466665285 absolute error 1.8474111129762605e-13 relative error 9.797418179162765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) 1.8964886399996748 y[1] (numeric) 1.8964886399998608 absolute error 1.8607337892717624e-13 relative error 9.81146815238546e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) 1.9074088933330056 y[1] (numeric) 1.9074088933331927 absolute error 1.871836019518014e-13 relative error 9.813501583539167e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) 1.9183709866663365 y[1] (numeric) 1.918370986666525 absolute error 1.8851586958135158e-13 relative error 9.826872429349364e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) 1.9293749999996672 y[1] (numeric) 1.9293749999998573 absolute error 1.900701818158268e-13 relative error 9.851386164735191e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) 1.940421013332998 y[1] (numeric) 1.9404210133331892 absolute error 1.9118040484045196e-13 relative error 9.852521876789388e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) 1.951509106666329 y[1] (numeric) 1.9515091066665213 absolute error 1.9229062786507711e-13 relative error 9.853432259588997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) 1.9626393599996599 y[1] (numeric) 1.9626393599998535 absolute error 1.936228954946273e-13 relative error 9.865434243337546e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) 1.9738118533329907 y[1] (numeric) 1.9738118533331857 absolute error 1.949551631241775e-13 relative error 9.877089490316669e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) 1.9850266666663217 y[1] (numeric) 1.985026666666518 absolute error 1.9628743075372768e-13 relative error 9.888402712663565e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) 1.9962838799996523 y[1] (numeric) 1.9962838799998501 absolute error 1.978417429882029e-13 relative error 9.910501455746732e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) 2.007583573332983 y[1] (numeric) 2.0075835733331817 absolute error 1.98507876802978e-13 relative error 9.887901028868049e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) 2.018925826666314 y[1] (numeric) 2.018925826666514 absolute error 2.0028423364237824e-13 relative error 9.920336398543731e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) 2.0303107199996444 y[1] (numeric) 2.0303107199998465 absolute error 2.020605904817785e-13 relative error 9.952200345069048e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) 2.0417383333329755 y[1] (numeric) 2.041738333333179 absolute error 2.0339285811132868e-13 relative error 9.96174949506414e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) 2.053208746666306 y[1] (numeric) 2.053208746666511 absolute error 2.0516921495072893e-13 relative error 9.992613526698252e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) 2.0647220399996367 y[1] (numeric) 2.0647220399998427 absolute error 2.0605739337042905e-13 relative error 9.979909613909352e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) 2.0762782933329675 y[1] (numeric) 2.076278293333175 absolute error 2.0738966099997924e-13 relative error 9.988529074638873e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) 2.087877586666298 y[1] (numeric) 2.0878775866665067 absolute error 2.0872192862952943e-13 relative error 9.996847035596302e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) 2.099519999999629 y[1] (numeric) 2.0995199999998384 absolute error 2.0961010704922955e-13 relative error 9.983715661163819e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) 2.1112056133329595 y[1] (numeric) 2.11120561333317 absolute error 2.1049828546892968e-13 relative error 9.970525094266688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) 2.12293450666629 y[1] (numeric) 2.1229345066665024 absolute error 2.1227464230832993e-13 relative error 9.99911403963523e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) 2.1347067599996206 y[1] (numeric) 2.134706759999834 absolute error 2.1360690993788012e-13 relative error 1.0006381857240105e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) 2.1465224533329517 y[1] (numeric) 2.1465224533331644 absolute error 2.1271873151818e-13 relative error 9.909923429307111e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) 2.158381666666282 y[1] (numeric) 2.1583816666664966 absolute error 2.1449508835758024e-13 relative error 9.937773827039479e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) 2.170284479999613 y[1] (numeric) 2.1702844799998284 absolute error 2.1538326677728037e-13 relative error 9.924195134884749e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) 2.1822309733329432 y[1] (numeric) 2.1822309733331604 absolute error 2.1715962361668062e-13 relative error 9.951266674810804e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) 2.194221226666274 y[1] (numeric) 2.1942212266664924 absolute error 2.184918912462308e-13 relative error 9.95760539506721e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) 2.2062553199996042 y[1] (numeric) 2.2062553199998245 absolute error 2.2026824808563106e-13 relative error 9.983805867295113e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) 2.2183333333329354 y[1] (numeric) 2.2183333333331565 absolute error 2.2115642650533118e-13 relative error 9.969485792879228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) 2.230455346666271 y[1] (numeric) 2.230455346666489 absolute error 2.1804780203638074e-13 relative error 9.775932181842772e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) 2.242621439999607 y[1] (numeric) 2.2426214399998208 absolute error 2.1360690993788012e-13 relative error 9.524875938844032e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) 2.254831693332943 y[1] (numeric) 2.254831693333153 absolute error 2.1005419625907962e-13 relative error 9.315737262349343e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) 2.267086186666279 y[1] (numeric) 2.2670861866664853 absolute error 2.0650148258027912e-13 relative error 9.108673670846934e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) 2.279384999999615 y[1] (numeric) 2.279384999999817 absolute error 2.020605904817785e-13 relative error 8.864697735652933e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) 2.291728213332951 y[1] (numeric) 2.291728213333149 absolute error 1.9806378759312793e-13 relative error 8.642551347966168e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) 2.3041159066662873 y[1] (numeric) 2.30411590666648 absolute error 1.9273471707492718e-13 relative error 8.364801289609846e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) 2.3165481599996234 y[1] (numeric) 2.3165481599998117 absolute error 1.8829382497642655e-13 relative error 8.128206796117598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) 2.3290250533329595 y[1] (numeric) 2.3290250533331434 absolute error 1.8385293287792592e-13 relative error 7.893986911597302e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) 2.3415466666662956 y[1] (numeric) 2.3415466666664755 absolute error 1.7985612998927536e-13 relative error 7.681082446472867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) 2.3541130799996317 y[1] (numeric) 2.3541130799998076 absolute error 1.758593271006248e-13 relative error 7.470300751255853e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) 2.366724373332968 y[1] (numeric) 2.3667243733331396 absolute error 1.7141843500212417e-13 relative error 7.242855861611046e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) 2.3793806266663045 y[1] (numeric) 2.3793806266664714 absolute error 1.6697754290362354e-13 relative error 7.017689437001593e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) 2.3920819199996406 y[1] (numeric) 2.392081919999804 absolute error 1.6342482922482304e-13 relative error 6.8319077142996675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) 2.404828333332977 y[1] (numeric) 2.4048283333331364 absolute error 1.5942802633617248e-13 relative error 6.629497171434805e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) 2.4176199466663135 y[1] (numeric) 2.4176199466664685 absolute error 1.5498713423767185e-13 relative error 6.410731945332663e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) 2.43045683999965 y[1] (numeric) 2.4304568399998003 absolute error 1.5054624213917123e-13 relative error 6.1941541055793e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) 2.443339093332986 y[1] (numeric) 2.4433390933331327 absolute error 1.4654943925052066e-13 relative error 5.997916525397665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) 2.4562667866663226 y[1] (numeric) 2.4562667866664647 absolute error 1.4210854715202004e-13 relative error 5.785550165944784e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y[1] (closed_form) 2.469239999999659 y[1] (numeric) 2.4692399999997967 absolute error 1.376676550535194e-13 relative error 5.57530475180778e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) 2.4822588133329955 y[1] (numeric) 2.4822588133331296 absolute error 1.341149413747189e-13 relative error 5.402939478121509e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y[1] (closed_form) 2.4953233066663323 y[1] (numeric) 2.495323306666462 absolute error 1.2967404927621828e-13 relative error 5.196683288686084e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) 2.5084335599996685 y[1] (numeric) 2.508433559999794 absolute error 1.2523315717771766e-13 relative error 4.992484520009938e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) 2.521589653333005 y[1] (numeric) 2.5215896533331263 absolute error 1.212363542890671e-13 relative error 4.807933524347168e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) 2.534791666666342 y[1] (numeric) 2.5347916666664583 absolute error 1.163513729807164e-13 relative error 4.5901749840347684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) 2.548039679999678 y[1] (numeric) 2.5480396799997904 absolute error 1.1235457009206584e-13 relative error 4.409451350933438e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y[1] (closed_form) 2.561333773333015 y[1] (numeric) 2.561333773333122 absolute error 1.0702549957386509e-13 relative error 4.178506553427235e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) 2.5746740266663517 y[1] (numeric) 2.5746740266664534 absolute error 1.0169642905566434e-13 relative error 3.949875906711938e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) 2.5880605199996882 y[1] (numeric) 2.588060519999786 absolute error 9.769962616701378e-14 relative error 3.7750131966398356e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) 2.6014933333330252 y[1] (numeric) 2.6014933333331185 absolute error 9.325873406851315e-14 relative error 3.5848154163451324e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) 2.614972546666362 y[1] (numeric) 2.61497254666645 absolute error 8.837375276016246e-14 relative error 3.37952889305946e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) 2.628498239999699 y[1] (numeric) 2.6284982399997823 absolute error 8.348877145181177e-14 relative error 3.176291700762993e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) 2.6420704933330357 y[1] (numeric) 2.6420704933331147 absolute error 7.904787935331115e-14 relative error 2.9918913803692775e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) 2.6556893866663724 y[1] (numeric) 2.655689386666446 absolute error 7.37188088351104e-14 relative error 2.7758821948544206e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) 2.6693549999997095 y[1] (numeric) 2.6693549999997783 absolute error 6.88338275267597e-14 relative error 2.5786689116572053e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) 2.6830674133330463 y[1] (numeric) 2.6830674133331103 absolute error 6.394884621840902e-14 relative error 2.3834230142942413e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) 2.6968267066663834 y[1] (numeric) 2.6968267066664424 absolute error 5.906386491005833e-14 relative error 2.190124592138465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) 2.71063295999972 y[1] (numeric) 2.7106329599997747 absolute error 5.46229728115577e-14 relative error 2.0151371881629944e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 2.7244862533330574 y[1] (numeric) 2.7244862533331067 absolute error 4.929390229335695e-14 relative error 1.809291650235057e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 2.7383866666663943 y[1] (numeric) 2.738386666666439 absolute error 4.4853010194856324e-14 relative error 1.637935604231474e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) 2.7523342799997312 y[1] (numeric) 2.7523342799997708 absolute error 3.952393967665557e-14 relative error 1.4360152385508722e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 2.766329173333068 y[1] (numeric) 2.7663291733331032 absolute error 3.5083047578154947e-14 relative error 1.2682166647537617e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 2.7803714266664055 y[1] (numeric) 2.780371426666435 absolute error 2.9753977059954195e-14 relative error 1.0701439661832684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 2.7944611199997427 y[1] (numeric) 2.7944611199997675 absolute error 2.4868995751603507e-14 relative error 8.899388713486841e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) 2.80859833333308 y[1] (numeric) 2.8085983333330997 absolute error 1.9539925233402755e-14 relative error 6.95718038478429e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) 2.822783146666417 y[1] (numeric) 2.8227831466664317 absolute error 1.4654943925052066e-14 relative error 5.19166480866903e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) 2.8370156399997546 y[1] (numeric) 2.837015639999764 absolute error 9.325873406851315e-15 relative error 3.2872125466506495e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) 2.851295893333092 y[1] (numeric) 2.851295893333096 absolute error 3.9968028886505635e-15 relative error 1.4017496037489128e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) 2.8656239866664293 y[1] (numeric) 2.8656239866664284 absolute error 8.881784197001252e-16 relative error 3.0994241527596234e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) 2.8799999999997667 y[1] (numeric) 2.879999999999761 absolute error 5.773159728050814e-15 relative error 2.0045693500178062e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) 2.894424013333104 y[1] (numeric) 2.8944240133330927 absolute error 1.1102230246251565e-14 relative error 3.8357304234311814e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) 2.908896106666441 y[1] (numeric) 2.908896106666426 absolute error 1.509903313490213e-14 relative error 5.190640222694455e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) 2.923416359999779 y[1] (numeric) 2.9234163599997585 absolute error 2.042810365310288e-14 relative error 6.987750336426394e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) 2.937984853333116 y[1] (numeric) 2.9379848533330897 absolute error 2.6201263381153694e-14 relative error 8.91810703224988e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) 2.9526016666664536 y[1] (numeric) 2.9526016666664217 absolute error 3.197442310920451e-14 relative error 1.0829236964193776e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) 2.967266879999791 y[1] (numeric) 2.967266879999754 absolute error 3.730349362740526e-14 relative error 1.2571667846542973e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) 2.981980573333129 y[1] (numeric) 2.9819805733330864 absolute error 4.263256414560601e-14 relative error 1.4296727660419723e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) 2.996742826666466 y[1] (numeric) 2.9967428266664196 absolute error 4.6629367034256575e-14 relative error 1.5560016234735236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) 3.011553719999804 y[1] (numeric) 3.011553719999752 absolute error 5.1958437552457326e-14 relative error 1.7253033610989582e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) 3.0264133333331418 y[1] (numeric) 3.026413333333084 absolute error 5.773159728050814e-14 relative error 1.9075912944424355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) 3.0413217466664793 y[1] (numeric) 3.0413217466664184 absolute error 6.084022174945858e-14 relative error 2.000453316593159e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) 3.0562790399998168 y[1] (numeric) 3.0562790399997506 absolute error 6.616929226765933e-14 relative error 2.1650278460066035e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) 3.0712852933331547 y[1] (numeric) 3.071285293333083 absolute error 7.149836278586008e-14 relative error 2.3279622684698725e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) 3.0863405866664926 y[1] (numeric) 3.0863405866664158 absolute error 7.682743330406083e-14 relative error 2.489272688697035e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) 3.1014449999998304 y[1] (numeric) 3.101444999999748 absolute error 8.215650382226158e-14 relative error 2.6489750365479986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) 3.116598613333168 y[1] (numeric) 3.116598613333081 absolute error 8.704148513061227e-14 relative error 2.7928359063704504e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) 3.131801506666506 y[1] (numeric) 3.131801506666414 absolute error 9.192646643896296e-14 relative error 2.935258388607445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) 3.147053759999844 y[1] (numeric) 3.1470537599997472 absolute error 9.681144774731365e-14 relative error 3.0762565602730106e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) 3.162355453333182 y[1] (numeric) 3.16235545333308 absolute error 1.0169642905566434e-13 relative error 3.2158443462917617e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) 3.17770666666652 y[1] (numeric) 3.1777066666664133 absolute error 1.0658141036401503e-13 relative error 3.3540355213409653e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) 3.193107479999858 y[1] (numeric) 3.193107479999746 absolute error 1.1191048088221578e-13 relative error 3.504751455538877e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) 3.208557973333196 y[1] (numeric) 3.208557973333079 absolute error 1.1723955140041653e-13 relative error 3.6539639418957656e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) 3.2240582266665343 y[1] (numeric) 3.224058226666412 absolute error 1.2212453270876722e-13 relative error 3.7879133726141176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) 3.239608319999872 y[1] (numeric) 3.239608319999744 absolute error 1.2789769243681803e-13 relative error 3.947936904817651e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) 3.25520833333321 y[1] (numeric) 3.2552083333330764 absolute error 1.3367085216486885e-13 relative error 4.106368578504927e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) 3.2708583466665484 y[1] (numeric) 3.2708583466664094 absolute error 1.389999226830696e-13 relative error 4.249646666133662e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) 3.2865584399998866 y[1] (numeric) 3.2865584399997423 absolute error 1.4432899320127035e-13 relative error 4.391493285032696e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) 3.3023086933332246 y[1] (numeric) 3.302308693333075 absolute error 1.496580637194711e-13 relative error 4.5319222888400524e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) 3.3181091866665633 y[1] (numeric) 3.3181091866664083 absolute error 1.5498713423767185e-13 relative error 4.670947383542099e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) 3.3339599999999012 y[1] (numeric) 3.333959999999741 absolute error 1.603162047558726e-13 relative error 4.808582129236024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) 3.34986121333324 y[1] (numeric) 3.3498612133330745 absolute error 1.6564527527407336e-13 relative error 4.944839941868815e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) 3.3658129066665783 y[1] (numeric) 3.3658129066664078 absolute error 1.7053025658242404e-13 relative error 5.066539980420753e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) 3.3818151599999164 y[1] (numeric) 3.3818151599997406 absolute error 1.758593271006248e-13 relative error 5.200146039342645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) 3.397868053333255 y[1] (numeric) 3.397868053333074 absolute error 1.8118839761882555e-13 relative error 5.3324141719123725e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) 3.413971666666593 y[1] (numeric) 3.4139716666664066 absolute error 1.865174681370263e-13 relative error 5.46335723749993e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) 3.430126079999932 y[1] (numeric) 3.43012607999974 absolute error 1.9184653865522705e-13 relative error 5.592987959650476e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) 3.4463313733332708 y[1] (numeric) 3.4463313733330727 absolute error 1.9806378759312793e-13 relative error 5.747090634571272e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) 3.462587626666609 y[1] (numeric) 3.462587626666406 absolute error 2.0294876890147862e-13 relative error 5.861187954883756e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) 3.478894919999948 y[1] (numeric) 3.4788949199997394 absolute error 2.0872192862952943e-13 relative error 5.999661772754336e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) 3.4952533333332867 y[1] (numeric) 3.4952533333330726 absolute error 2.1405099914773018e-13 relative error 6.124048208648673e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) 3.511662946666625 y[1] (numeric) 3.5116629466664055 absolute error 2.1938006966593093e-13 relative error 6.247184681382165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) 3.5281238399999637 y[1] (numeric) 3.5281238399997386 absolute error 2.2515322939398175e-13 relative error 6.381670247549589e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) 3.544636093333302 y[1] (numeric) 3.5446360933330716 absolute error 2.304822999121825e-13 relative error 6.502283840805834e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) 3.561199786666641 y[1] (numeric) 3.5611997866664047 absolute error 2.362554596402333e-13 relative error 6.6341534817784955e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) 3.5778149999999798 y[1] (numeric) 3.5778149999997377 absolute error 2.4202861936828413e-13 relative error 6.764704697372153e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) 3.594481813333319 y[1] (numeric) 3.594481813333071 absolute error 2.4780177909633494e-13 relative error 6.893950003506558e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) 3.6112003066666576 y[1] (numeric) 3.6112003066664045 absolute error 2.531308496145357e-13 relative error 7.009604234559611e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) 3.6279705599999965 y[1] (numeric) 3.627970559999738 absolute error 2.5845992013273644e-13 relative error 7.124090889335571e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) 3.6447926533333352 y[1] (numeric) 3.6447926533330715 absolute error 2.637889906509372e-13 relative error 7.237421048072232e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Finished! diff ( y , x , 1 ) = expt ( ( 0.2 * x + 0.3 ) , 2.0 ) ; Iterations 4900 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.0204081632654%