##############ECHO OF PROBLEM################# ##############temp/multpostode.ode################# diff ( y , x , 1 ) = x * x ; ! #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(10.0) $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 # ELIMINATED in preodein.rb #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(1.0) + c(x) * c(x) * c(x) / 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) 1.0003333333333333 y[1] (numeric) 1.0003333333333333 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) 1.0004436666666667 y[1] (numeric) 1.0004436666666667 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] 0.12000000000000002 y[1] (closed_form) 1.000576 y[1] (numeric) 1.0005760000000001 absolute error 2.220446049250313e-16 relative error 2.219167808592564e-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) 1.0007323333333333 y[1] (numeric) 1.0007323333333333 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] 0.14000000000000004 y[1] (closed_form) 1.0009146666666666 y[1] (numeric) 1.0009146666666666 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] 0.15000000000000005 y[1] (closed_form) 1.001125 y[1] (numeric) 1.001125 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] 0.16000000000000006 y[1] (closed_form) 1.0013653333333334 y[1] (numeric) 1.0013653333333332 absolute error 2.220446049250313e-16 relative error 2.2174185338121478e-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) 1.0016376666666666 y[1] (numeric) 1.0016376666666666 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] 0.18000000000000008 y[1] (closed_form) 1.001944 y[1] (numeric) 1.0019440000000002 absolute error 2.220446049250313e-16 relative error 2.2161378772170033e-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) 1.0022863333333334 y[1] (numeric) 1.002286333333334 absolute error 6.661338147750939e-16 relative error 6.646142849815311e-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) 1.0026666666666666 y[1] (numeric) 1.0026666666666675 absolute error 8.881784197001252e-16 relative error 8.858162430519867e-14% 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) 1.003087 y[1] (numeric) 1.003087000000001 absolute error 8.881784197001252e-16 relative error 8.854450508282185e-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) 1.0035493333333334 y[1] (numeric) 1.0035493333333343 absolute error 8.881784197001252e-16 relative error 8.850371279207584e-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) 1.0040556666666667 y[1] (numeric) 1.0040556666666673 absolute error 6.661338147750939e-16 relative error 6.634431106659364e-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) 1.004608 y[1] (numeric) 1.0046080000000006 absolute error 6.661338147750939e-16 relative error 6.630783497394944e-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) 1.0052083333333333 y[1] (numeric) 1.0052083333333337 absolute error 4.440892098500626e-16 relative error 4.4178822948814525e-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) 1.0058586666666667 y[1] (numeric) 1.0058586666666671 absolute error 4.440892098500626e-16 relative error 4.4150259332331244e-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) 1.006561 y[1] (numeric) 1.0065610000000003 absolute error 2.220446049250313e-16 relative error 2.2059726626109227e-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) 1.0073173333333334 y[1] (numeric) 1.0073173333333336 absolute error 2.220446049250313e-16 relative error 2.204316331877852e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) 1.0081296666666666 y[1] (numeric) 1.008129666666667 absolute error 4.440892098500626e-16 relative error 4.4050802643118594e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 1.0090000000000001 y[1] (numeric) 1.0090000000000006 absolute error 4.440892098500626e-16 relative error 4.4012805733405605e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) 1.0099303333333334 y[1] (numeric) 1.0099303333333338 absolute error 4.440892098500626e-16 relative error 4.3972261768227173e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 1.0109226666666666 y[1] (numeric) 1.0109226666666673 absolute error 6.661338147750939e-16 relative error 6.589364713440929e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 1.011979 y[1] (numeric) 1.0119790000000004 absolute error 4.440892098500626e-16 relative error 4.388324360980442e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 1.0131013333333334 y[1] (numeric) 1.0131013333333336 absolute error 2.220446049250313e-16 relative error 2.1917314450120616e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 1.0142916666666666 y[1] (numeric) 1.0142916666666668 absolute error 2.220446049250313e-16 relative error 2.18915931405363e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) 1.015552 y[1] (numeric) 1.0155520000000002 absolute error 2.220446049250313e-16 relative error 2.1864424955593738e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 1.0168843333333333 y[1] (numeric) 1.0168843333333337 absolute error 4.440892098500626e-16 relative error 4.367155587837056e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 1.0182906666666667 y[1] (numeric) 1.0182906666666671 absolute error 4.440892098500626e-16 relative error 4.3611242289372116e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 1.019773 y[1] (numeric) 1.0197730000000005 absolute error 4.440892098500626e-16 relative error 4.354784935961852e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 1.0213333333333334 y[1] (numeric) 1.0213333333333339 absolute error 4.440892098500626e-16 relative error 4.348131950229072e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 1.0229736666666667 y[1] (numeric) 1.0229736666666671 absolute error 4.440892098500626e-16 relative error 4.341159741649224e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 1.024696 y[1] (numeric) 1.0246960000000005 absolute error 4.440892098500626e-16 relative error 4.333863017422363e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 1.0265023333333334 y[1] (numeric) 1.026502333333334 absolute error 6.661338147750939e-16 relative error 6.489355095881521e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 1.0283946666666668 y[1] (numeric) 1.0283946666666672 absolute error 4.440892098500626e-16 relative error 4.318276088395984e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 1.030375 y[1] (numeric) 1.030375000000001 absolute error 8.881784197001252e-16 relative error 8.619953120952325e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) 1.0324453333333334 y[1] (numeric) 1.0324453333333345 absolute error 1.1102230246251565e-15 relative error 1.0753334716916309e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) 1.0346076666666668 y[1] (numeric) 1.0346076666666677 absolute error 8.881784197001252e-16 relative error 8.584688170364017e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) 1.036864 y[1] (numeric) 1.0368640000000011 absolute error 1.1102230246251565e-15 relative error 1.0707508647471188e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 1.0392163333333335 y[1] (numeric) 1.0392163333333344 absolute error 8.881784197001252e-16 relative error 8.546617207711244e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 1.0416666666666667 y[1] (numeric) 1.0416666666666679 absolute error 1.1102230246251565e-15 relative error 1.0658141036401502e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 1.0442170000000002 y[1] (numeric) 1.0442170000000013 absolute error 1.1102230246251565e-15 relative error 1.0632110228287381e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 1.0468693333333334 y[1] (numeric) 1.0468693333333345 absolute error 1.1102230246251565e-15 relative error 1.0605172864220779e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 1.0496256666666668 y[1] (numeric) 1.049625666666668 absolute error 1.1102230246251565e-15 relative error 1.0577323515257882e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 1.052488 y[1] (numeric) 1.0524880000000012 absolute error 1.1102230246251565e-15 relative error 1.0548557557189787e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 1.0554583333333334 y[1] (numeric) 1.055458333333335 absolute error 1.5543122344752192e-15 relative error 1.4726419654733434e-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) 1.0585386666666667 y[1] (numeric) 1.0585386666666683 absolute error 1.5543122344752192e-15 relative error 1.4683565970903463e-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) 1.0617310000000002 y[1] (numeric) 1.061731000000002 absolute error 1.7763568394002505e-15 relative error 1.6730761740970642e-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) 1.0650373333333334 y[1] (numeric) 1.0650373333333354 absolute error 1.9984014443252818e-15 relative error 1.8763675054194799e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 1.0684596666666668 y[1] (numeric) 1.0684596666666686 absolute error 1.7763568394002505e-15 relative error 1.6625399112556582e-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) 1.072 y[1] (numeric) 1.0720000000000018 absolute error 1.7763568394002505e-15 relative error 1.6570492904853083e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 1.0756603333333334 y[1] (numeric) 1.0756603333333357 absolute error 2.220446049250313e-15 relative error 2.064263206926517e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 1.0794426666666668 y[1] (numeric) 1.079442666666669 absolute error 2.220446049250313e-15 relative error 2.0570300932305e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 1.0833490000000001 y[1] (numeric) 1.0833490000000023 absolute error 2.220446049250313e-15 relative error 2.0496128664449893e-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) 1.0873813333333335 y[1] (numeric) 1.0873813333333355 absolute error 1.9984014443252818e-15 relative error 1.8378110632074624e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 1.0915416666666669 y[1] (numeric) 1.0915416666666689 absolute error 1.9984014443252818e-15 relative error 1.830806377211389e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 1.0958320000000001 y[1] (numeric) 1.0958320000000026 absolute error 2.4424906541753444e-15 relative error 2.2288915218531163e-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) 1.1002543333333334 y[1] (numeric) 1.1002543333333363 absolute error 2.886579864025407e-15 relative error 2.6235569145910264e-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) 1.1048106666666668 y[1] (numeric) 1.1048106666666695 absolute error 2.6645352591003757e-15 relative error 2.4117573621365973e-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) 1.1095030000000001 y[1] (numeric) 1.109503000000003 absolute error 2.886579864025407e-15 relative error 2.6016872996516517e-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) 1.1143333333333336 y[1] (numeric) 1.1143333333333363 absolute error 2.6645352591003757e-15 relative error 2.391147405713768e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 1.119303666666667 y[1] (numeric) 1.1193036666666696 absolute error 2.6645352591003757e-15 relative error 2.380529375942699e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 1.1244160000000003 y[1] (numeric) 1.124416000000003 absolute error 2.6645352591003757e-15 relative error 2.369705926543535e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 1.1296723333333336 y[1] (numeric) 1.129672333333336 absolute error 2.4424906541753444e-15 relative error 2.1621231060587867e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 1.135074666666667 y[1] (numeric) 1.1350746666666693 absolute error 2.4424906541753444e-15 relative error 2.1518325850299516e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 1.1406250000000004 y[1] (numeric) 1.1406250000000027 absolute error 2.220446049250313e-15 relative error 1.9466924267399997e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 1.1463253333333336 y[1] (numeric) 1.1463253333333359 absolute error 2.220446049250313e-15 relative error 1.9370121070199204e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 1.152177666666667 y[1] (numeric) 1.1521776666666694 absolute error 2.4424906541753444e-15 relative error 2.1198906425965068e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 1.1581840000000003 y[1] (numeric) 1.1581840000000025 absolute error 2.220446049250313e-15 relative error 1.917179005451908e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 1.1643463333333337 y[1] (numeric) 1.1643463333333357 absolute error 1.9984014443252818e-15 relative error 1.7163290570119152e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 1.170666666666667 y[1] (numeric) 1.170666666666669 absolute error 1.9984014443252818e-15 relative error 1.70706273717991e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 1.1771470000000004 y[1] (numeric) 1.1771470000000024 absolute error 1.9984014443252818e-15 relative error 1.6976651550955668e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 1.1837893333333338 y[1] (numeric) 1.1837893333333354 absolute error 1.5543122344752192e-15 relative error 1.3129973304443965e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 1.190595666666667 y[1] (numeric) 1.1905956666666688 absolute error 1.7763568394002505e-15 relative error 1.4919900089789089e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) 1.1975680000000004 y[1] (numeric) 1.1975680000000022 absolute error 1.7763568394002505e-15 relative error 1.4833035279835884e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) 1.204708333333334 y[1] (numeric) 1.2047083333333357 absolute error 1.7763568394002505e-15 relative error 1.4745119546780336e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) 1.2120186666666672 y[1] (numeric) 1.212018666666669 absolute error 1.7763568394002505e-15 relative error 1.465618383820477e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) 1.2195010000000006 y[1] (numeric) 1.2195010000000022 absolute error 1.5543122344752192e-15 relative error 1.2745477326178645e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 1.2271573333333339 y[1] (numeric) 1.2271573333333354 absolute error 1.5543122344752192e-15 relative error 1.2665957267706113e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) 1.2349896666666673 y[1] (numeric) 1.2349896666666689 absolute error 1.5543122344752192e-15 relative error 1.258562947065321e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) 1.2430000000000005 y[1] (numeric) 1.243000000000002 absolute error 1.5543122344752192e-15 relative error 1.250452320575397e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 1.2511903333333338 y[1] (numeric) 1.2511903333333356 absolute error 1.7763568394002505e-15 relative error 1.41973350662629e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 1.2595626666666673 y[1] (numeric) 1.2595626666666688 absolute error 1.5543122344752192e-15 relative error 1.234009450747364e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 1.2681190000000007 y[1] (numeric) 1.268119000000002 absolute error 1.3322676295501878e-15 relative error 1.050585654461598e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 1.276861333333334 y[1] (numeric) 1.2768613333333354 absolute error 1.3322676295501878e-15 relative error 1.0433925711198504e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) 1.2857916666666673 y[1] (numeric) 1.2857916666666689 absolute error 1.5543122344752192e-15 relative error 1.2088367616385896e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) 1.2949120000000007 y[1] (numeric) 1.2949120000000023 absolute error 1.5543122344752192e-15 relative error 1.2003226740312996e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 1.304224333333334 y[1] (numeric) 1.3042243333333357 absolute error 1.5543122344752192e-15 relative error 1.1917522122154483e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) 1.3137306666666673 y[1] (numeric) 1.3137306666666688 absolute error 1.5543122344752192e-15 relative error 1.1831285315269226e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 1.3234330000000007 y[1] (numeric) 1.323433000000002 absolute error 1.3322676295501878e-15 relative error 1.006675539713901e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 1.333333333333334 y[1] (numeric) 1.3333333333333355 absolute error 1.5543122344752192e-15 relative error 1.1657341758564139e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) 1.3434336666666662 y[1] (numeric) 1.3434336666666689 absolute error 2.6645352591003757e-15 relative error 1.9833768687006578e-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) 1.3537359999999985 y[1] (numeric) 1.353736000000002 absolute error 3.552713678800501e-15 relative error 2.6243770416096675e-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) 1.3642423333333304 y[1] (numeric) 1.364242333333335 absolute error 4.6629367034256575e-15 relative error 3.4179680468003366e-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) 1.3749546666666626 y[1] (numeric) 1.374954666666668 absolute error 5.551115123125783e-15 relative error 4.0373077438134683e-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) 1.3858749999999946 y[1] (numeric) 1.3858750000000015 absolute error 6.8833827526759706e-15 relative error 4.966813567367907e-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) 1.3970053333333268 y[1] (numeric) 1.3970053333333348 absolute error 7.993605777301127e-15 relative error 5.721957952893402e-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) 1.4083476666666586 y[1] (numeric) 1.408347666666668 absolute error 9.547918011776346e-15 relative error 6.779517755281829e-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) 1.4199039999999905 y[1] (numeric) 1.419904000000001 absolute error 1.0436096431476471e-14 relative error 7.34986057612102e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) 1.4316763333333224 y[1] (numeric) 1.4316763333333338 absolute error 1.1324274851176597e-14 relative error 7.909800970733853e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) 1.4436666666666542 y[1] (numeric) 1.443666666666667 absolute error 1.2878587085651816e-14 relative error 8.920748385351139e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) 1.4558769999999859 y[1] (numeric) 1.4558770000000003 absolute error 1.4432899320127035e-14 relative error 9.913543053518378e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) 1.4683093333333177 y[1] (numeric) 1.4683093333333335 absolute error 1.5765166949677223e-14 relative error 1.0736952079360247e-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) 1.4809656666666493 y[1] (numeric) 1.4809656666666664 absolute error 1.709743457922741e-14 relative error 1.1544787947522267e-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) 1.4938479999999807 y[1] (numeric) 1.4938479999999994 absolute error 1.865174681370263e-14 relative error 1.248570591767226e-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) 1.5069583333333125 y[1] (numeric) 1.5069583333333323 absolute error 1.9761969838327786e-14 relative error 1.3113813037295695e-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) 1.5202986666666438 y[1] (numeric) 1.5202986666666651 absolute error 2.1316282072803006e-14 relative error 1.4021114758681184e-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) 1.5338709999999753 y[1] (numeric) 1.5338709999999982 absolute error 2.2870594307278225e-14 relative error 1.4910376627029647e-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) 1.5476773333333065 y[1] (numeric) 1.5476773333333311 absolute error 2.4646951146678475e-14 relative error 1.5925122514778427e-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) 1.561719666666638 y[1] (numeric) 1.5617196666666642 absolute error 2.6201263381153694e-14 relative error 1.6777187314979604e-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) 1.5759999999999692 y[1] (numeric) 1.5759999999999974 absolute error 2.8199664825478976e-14 relative error 1.7893188341040308e-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) 1.5905203333333002 y[1] (numeric) 1.5905203333333302 absolute error 2.9976021664879227e-14 relative error 1.8846676170469065e-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) 1.6052826666666316 y[1] (numeric) 1.6052826666666629 absolute error 3.1308289294429414e-14 relative error 1.9503287454938422e-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) 1.6202889999999628 y[1] (numeric) 1.6202889999999956 absolute error 3.2862601528904634e-14 relative error 2.0281938301689012e-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) 1.6355413333332938 y[1] (numeric) 1.6355413333333289 absolute error 3.5083047578154947e-14 relative error 2.1450419419639123e-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) 1.6510416666666248 y[1] (numeric) 1.6510416666666619 absolute error 3.708144902248023e-14 relative error 2.245942653727566e-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) 1.6667919999999556 y[1] (numeric) 1.6667919999999943 absolute error 3.863576125695545e-14 relative error 2.317971363970818e-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) 1.6827943333332862 y[1] (numeric) 1.6827943333333268 absolute error 4.063416270128073e-14 relative error 2.4146838325033107e-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) 1.6990506666666172 y[1] (numeric) 1.6990506666666596 absolute error 4.241051954068098e-14 relative error 2.4961303610731373e-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) 1.715562999999948 y[1] (numeric) 1.715562999999992 absolute error 4.39648317751562e-14 relative error 2.562705757536012e-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) 1.7323333333332784 y[1] (numeric) 1.7323333333333242 absolute error 4.574118861455645e-14 relative error 2.6404380574114624e-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) 1.7493636666666093 y[1] (numeric) 1.7493636666666565 absolute error 4.729550084903167e-14 relative error 2.7035831228364686e-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) 1.7666559999999398 y[1] (numeric) 1.7666559999999891 absolute error 4.929390229335695e-14 relative error 2.790237731248111e-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) 1.78421233333327 y[1] (numeric) 1.7842123333333215 absolute error 5.1514348342607263e-14 relative error 2.887231938721555e-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) 1.8020346666666005 y[1] (numeric) 1.8020346666666538 absolute error 5.3290705182007514e-14 relative error 2.9572519423604948e-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) 1.8201249999999307 y[1] (numeric) 1.8201249999999862 absolute error 5.551115123125783e-14 relative error 3.049853786484991e-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) 1.8384853333332614 y[1] (numeric) 1.8384853333333184 absolute error 5.706546346573305e-14 relative error 3.10393901061319e-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) 1.8571176666665914 y[1] (numeric) 1.8571176666666507 absolute error 5.928590951498336e-14 relative error 3.192361506171971e-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) 1.8760239999999215 y[1] (numeric) 1.876023999999983 absolute error 6.150635556423367e-14 relative error 3.2785484388385353e-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) 1.8952063333332516 y[1] (numeric) 1.8952063333333151 absolute error 6.350475700855895e-14 relative error 3.3508096660308242e-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) 1.9146666666665815 y[1] (numeric) 1.9146666666666474 absolute error 6.59472476627343e-14 relative error 3.4443200380956076e-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) 1.9344069999999114 y[1] (numeric) 1.9344069999999796 absolute error 6.816769371198461e-14 relative error 3.5239581800514438e-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) 1.9544293333332416 y[1] (numeric) 1.9544293333333116 absolute error 6.994405055138486e-14 relative error 3.5787454352261807e-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) 1.9747356666665712 y[1] (numeric) 1.9747356666666436 absolute error 7.238654120556021e-14 relative error 3.665631933804661e-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) 1.9953279999999007 y[1] (numeric) 1.9953279999999756 absolute error 7.482903185973555e-14 relative error 3.7502120884255255e-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) 2.0162083333332306 y[1] (numeric) 2.016208333333308 absolute error 7.72715225139109e-14 relative error 3.8325167710305154e-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) 2.03737866666656 y[1] (numeric) 2.0373786666666405 absolute error 8.038014698286133e-14 relative error 3.9452728301300334e-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) 2.0588409999998896 y[1] (numeric) 2.058840999999972 absolute error 8.260059303211165e-14 relative error 4.01199475977582e-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) 2.080597333333219 y[1] (numeric) 2.0805973333333045 absolute error 8.570921750106208e-14 relative error 4.119452434544445e-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) 2.102649666666548 y[1] (numeric) 2.102649666666636 absolute error 8.79296635503124e-14 relative error 4.181850402578588e-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) 2.1249999999998774 y[1] (numeric) 2.124999999999968 absolute error 9.059419880941277e-14 relative error 4.263256414560847e-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) 2.147650333333207 y[1] (numeric) 2.1476503333333 absolute error 9.325873406851315e-14 relative error 4.3423611665765564e-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) 2.170602666666536 y[1] (numeric) 2.170602666666632 absolute error 9.592326932761353e-14 relative error 4.419199828724341e-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) 2.193858999999865 y[1] (numeric) 2.1938589999999634 absolute error 9.85878045867139e-14 relative error 4.4938076962430116e-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) 2.217421333333194 y[1] (numeric) 2.217421333333295 absolute error 1.0125233984581428e-13 relative error 4.566220155084975e-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) 2.2412916666665224 y[1] (numeric) 2.2412916666666267 absolute error 1.0436096431476471e-13 relative error 4.656286634482561e-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) 2.2654719999998516 y[1] (numeric) 2.265471999999959 absolute error 1.0746958878371515e-13 relative error 4.743805652143227e-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) 2.28996433333318 y[1] (numeric) 2.2899643333332906 absolute error 1.1057821325266559e-13 relative error 4.8288181454648415e-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) 2.314770666666509 y[1] (numeric) 2.314770666666622 absolute error 1.1324274851176597e-13 relative error 4.892180039366334e-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) 2.3398929999998375 y[1] (numeric) 2.3398929999999534 absolute error 1.1590728377086634e-13 relative error 4.953529232784336e-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) 2.365333333333166 y[1] (numeric) 2.3653333333332847 absolute error 1.1857181902996672e-13 relative error 5.0129010300158584e-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) 2.391093666666494 y[1] (numeric) 2.3910936666666167 absolute error 1.2256862191861728e-13 relative error 5.126048537006684e-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) 2.417175999999823 y[1] (numeric) 2.4171759999999485 absolute error 1.2567724638756772e-13 relative error 5.199341975411676e-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) 2.4435823333331506 y[1] (numeric) 2.443582333333279 absolute error 1.283417816466681e-13 relative error 5.252197967547278e-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) 2.4703146666664786 y[1] (numeric) 2.4703146666666105 absolute error 1.318944953254686e-13 relative error 5.339177923574054e-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) 2.497374999999807 y[1] (numeric) 2.4973749999999413 absolute error 1.341149413747189e-13 relative error 5.370236403212544e-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) 2.524765333333135 y[1] (numeric) 2.524765333333272 absolute error 1.3722356584366935e-13 relative error 5.435101790728015e-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) 2.5524876666664627 y[1] (numeric) 2.5524876666666025 absolute error 1.3988810110276972e-13 relative error 5.4804613918257615e-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) 2.58054399999979 y[1] (numeric) 2.580543999999933 absolute error 1.4299672557172016e-13 relative error 5.541340336445796e-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) 2.6089363333331184 y[1] (numeric) 2.608936333333264 absolute error 1.4566126083082054e-13 relative error 5.583166556031936e-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) 2.637666666666446 y[1] (numeric) 2.6376666666665947 absolute error 1.4876988529977098e-13 relative error 5.640207960310253e-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) 2.666736999999773 y[1] (numeric) 2.666736999999925 absolute error 1.5187850976872141e-13 relative error 5.6952939029508476e-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) 2.696149333333101 y[1] (numeric) 2.6961493333332553 absolute error 1.545430450278218e-13 relative error 5.731991292810504e-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) 2.725905666666428 y[1] (numeric) 2.725905666666585 absolute error 1.5720758028692217e-13 relative error 5.7671687692397255e-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) 2.7560079999997553 y[1] (numeric) 2.756007999999916 absolute error 1.6076029396572267e-13 relative error 5.83308517122363e-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) 2.7864583333330826 y[1] (numeric) 2.7864583333332464 absolute error 1.638689184346731e-13 relative error 5.8809032410205735e-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) 2.817258666666409 y[1] (numeric) 2.817258666666577 absolute error 1.6786572132332367e-13 relative error 5.958477413149817e-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) 2.8484109999997367 y[1] (numeric) 2.848410999999908 absolute error 1.7141843500212417e-13 relative error 6.018037249615313e-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) 2.879917333333063 y[1] (numeric) 2.8799173333332386 absolute error 1.7541523789077473e-13 relative error 6.09098170494215e-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) 2.9117796666663898 y[1] (numeric) 2.9117796666665687 absolute error 1.7896795156957523e-13 relative error 6.1463425141116646e-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) 2.9439999999997166 y[1] (numeric) 2.943999999999899 absolute error 1.8252066524837574e-13 relative error 6.199750857622055e-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) 2.976580333333043 y[1] (numeric) 2.9765803333332292 absolute error 1.8607337892717624e-13 relative error 6.251246668650111e-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) 3.0095226666663697 y[1] (numeric) 3.0095226666665593 absolute error 1.8962609260597674e-13 relative error 6.3008693938837955e-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) 3.042828999999696 y[1] (numeric) 3.0428289999998896 absolute error 1.936228954946273e-13 relative error 6.363252601268315e-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) 3.0765013333330224 y[1] (numeric) 3.0765013333332196 absolute error 1.971756091734278e-13 relative error 6.4090857701599474e-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) 3.110541666666349 y[1] (numeric) 3.1105416666665495 absolute error 2.007283228522283e-13 relative error 6.453162965257889e-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) 3.1449519999996745 y[1] (numeric) 3.144951999999879 absolute error 2.0472512574087887e-13 relative error 6.509642301087586e-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) 3.1797343333330006 y[1] (numeric) 3.1797343333332093 absolute error 2.0872192862952943e-13 relative error 6.5641310483554426e-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) 3.2148906666663266 y[1] (numeric) 3.2148906666665398 absolute error 2.1316282072803006e-13 relative error 6.630484294169442e-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) 3.2504229999996523 y[1] (numeric) 3.2504229999998695 absolute error 2.1715962361668062e-13 relative error 6.680965019528346e-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) 3.286333333332978 y[1] (numeric) 3.2863333333331988 absolute error 2.2071233729548112e-13 relative error 6.716066658753575e-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) 3.3226236666663036 y[1] (numeric) 3.322623666666528 absolute error 2.2426505097428162e-13 relative error 6.749637439358098e-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) 3.359295999999629 y[1] (numeric) 3.359295999999857 absolute error 2.282618538629322e-13 relative error 6.79493125532723e-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) 3.3963523333329544 y[1] (numeric) 3.396352333333187 absolute error 2.327027459614328e-13 relative error 6.85154904800686e-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) 3.4337946666662797 y[1] (numeric) 3.4337946666665164 absolute error 2.3669954885008337e-13 relative error 6.893235380317151e-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) 3.4716249999996047 y[1] (numeric) 3.471624999999845 absolute error 2.402522625288839e-13 relative error 6.920455479175062e-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) 3.5098453333329296 y[1] (numeric) 3.509845333333174 absolute error 2.4424906541753444e-13 relative error 6.958969476458294e-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) 3.5484576666662546 y[1] (numeric) 3.548457666666503 absolute error 2.48245868306185e-13 relative error 6.995880791764097e-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) 3.5874639999995797 y[1] (numeric) 3.587463999999833 absolute error 2.531308496145357e-13 relative error 7.055982990061095e-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) 3.626866333332904 y[1] (numeric) 3.6268663333331626 absolute error 2.5845992013273644e-13 relative error 7.1262598722579624e-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) 3.6666666666662286 y[1] (numeric) 3.666666666666491 absolute error 2.62456723021387e-13 relative error 7.157910627856865e-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) 3.7068669999995545 y[1] (numeric) 3.70686699999982 absolute error 2.6556534749033744e-13 relative error 7.1641455571610574e-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) 3.7474693333328783 y[1] (numeric) 3.7474693333331492 absolute error 2.708944180085382e-13 relative error 7.2287294147811865e-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) 3.788475666666203 y[1] (numeric) 3.788475666666478 absolute error 2.7489122089718876e-13 relative error 7.25598486261596e-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) 3.8298879999995274 y[1] (numeric) 3.829887999999807 absolute error 2.793321129956894e-13 relative error 7.293479939771707e-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) 3.871708333332851 y[1] (numeric) 3.871708333333136 absolute error 2.851052727237402e-13 relative error 7.363810705191095e-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) 3.913938666666175 y[1] (numeric) 3.9139386666664646 absolute error 2.8954616482224083e-13 relative error 7.397820698832545e-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) 3.9565809999994985 y[1] (numeric) 3.956580999999793 absolute error 2.944311461305915e-13 relative error 7.441554871001726e-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) 3.999637333332823 y[1] (numeric) 3.999637333333121 absolute error 2.97983859809392e-13 relative error 7.450271986562533e-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) 4.043109666666146 y[1] (numeric) 4.04310966666645 absolute error 3.0464519795714295e-13 relative error 7.534922944802195e-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) 4.08699999999947 y[1] (numeric) 4.0869999999997795 absolute error 3.090860900556436e-13 relative error 7.56266430280606e-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) 4.131310333332793 y[1] (numeric) 4.131310333333109 absolute error 3.1530333899354446e-13 relative error 7.632041980714247e-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) 4.176042666666117 y[1] (numeric) 4.1760426666664365 absolute error 3.197442310920451e-13 relative error 7.656632285974901e-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) 4.221198999999439 y[1] (numeric) 4.221198999999765 absolute error 3.2596148002994596e-13 relative error 7.722011685068372e-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) 4.266781333332762 y[1] (numeric) 4.266781333333093 absolute error 3.304023721284466e-13 relative error 7.743597487579025e-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) 4.312791666666085 y[1] (numeric) 4.3127916666664206 absolute error 3.3573144264664734e-13 relative error 7.78455043960372e-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) 4.359231999999407 y[1] (numeric) 4.359231999999748 absolute error 3.410605131648481e-13 relative error 7.823866983103778e-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) 4.406104333332731 y[1] (numeric) 4.406104333333077 absolute error 3.455014052633487e-13 relative error 7.841425874770765e-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) 4.453410666666054 y[1] (numeric) 4.453410666666403 absolute error 3.490541189421492e-13 relative error 7.837905485672642e-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) 4.501152999999375 y[1] (numeric) 4.501152999999731 absolute error 3.561595462997502e-13 relative error 7.91262919300454e-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) 4.549333333332697 y[1] (numeric) 4.549333333333059 absolute error 3.6148861681795097e-13 relative error 7.945969009774359e-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) 4.597953666666021 y[1] (numeric) 4.597953666666386 absolute error 3.6504133049675147e-13 relative error 7.93921289688513e-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) 4.647015999999342 y[1] (numeric) 4.647015999999713 absolute error 3.7125857943465235e-13 relative error 7.989182293211491e-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) 4.6965223333326644 y[1] (numeric) 4.696522333333041 absolute error 3.765876499528531e-13 relative error 8.018436264639787e-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) 4.746474666665986 y[1] (numeric) 4.746474666666369 absolute error 3.836930773104541e-13 relative error 8.083748555640506e-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) 4.796874999999307 y[1] (numeric) 4.796874999999698 absolute error 3.907985046680551e-13 relative error 8.146939510996463e-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) 4.84772533333263 y[1] (numeric) 4.847725333333025 absolute error 3.9523939676655573e-13 relative error 8.153089739819138e-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) 4.899027666665951 y[1] (numeric) 4.899027666666352 absolute error 4.005684672847565e-13 relative error 8.17648918397239e-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) 4.950783999999272 y[1] (numeric) 4.950783999999679 absolute error 4.0678571622265736e-13 relative error 8.216591881663938e-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) 5.002996333332592 y[1] (numeric) 5.002996333333006 absolute error 4.1389114358025836e-13 relative error 8.272865219242676e-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) 5.055666666665914 y[1] (numeric) 5.055666666666331 absolute error 4.1655567883935873e-13 relative error 8.23938179282826e-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) 5.108796999999234 y[1] (numeric) 5.108796999999657 absolute error 4.227729277772596e-13 relative error 8.275391012352281e-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) 5.162389333332556 y[1] (numeric) 5.162389333332984 absolute error 4.2810199829546036e-13 relative error 8.292710422503161e-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) 5.2164456666658765 y[1] (numeric) 5.216445666666311 absolute error 4.3431924723336124e-13 relative error 8.325961295997915e-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) 5.270967999999197 y[1] (numeric) 5.2709679999996375 absolute error 4.405364961712621e-13 relative error 8.357791133835933e-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) 5.325958333332517 y[1] (numeric) 5.325958333332965 absolute error 4.476419235288631e-13 relative error 8.404908478673135e-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) 5.381418666665837 y[1] (numeric) 5.381418666666292 absolute error 4.547473508864641e-13 relative error 8.450324701612775e-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) 5.437350999999157 y[1] (numeric) 5.437350999999619 absolute error 4.618527782440651e-13 relative error 8.494076954828496e-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) 5.493757333332478 y[1] (numeric) 5.493757333332945 absolute error 4.671818487622659e-13 relative error 8.50386757943814e-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) 5.5506396666657976 y[1] (numeric) 5.550639666666271 absolute error 4.733990977001667e-13 relative error 8.52873049106666e-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) 5.607999999999117 y[1] (numeric) 5.607999999999596 absolute error 4.796163466380676e-13 relative error 8.552359961450484e-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) 5.665840333332437 y[1] (numeric) 5.665840333332922 absolute error 4.849454171562684e-13 relative error 8.559108422157768e-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) 5.724162666665756 y[1] (numeric) 5.724162666666247 absolute error 4.911626660941693e-13 relative error 8.580515521587449e-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) 5.782968999999076 y[1] (numeric) 5.782968999999573 absolute error 4.973799150320701e-13 relative error 8.600770902146452e-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) 5.842261333332394 y[1] (numeric) 5.842261333332899 absolute error 5.044853423896711e-13 relative error 8.635104005214286e-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) 5.902041666665713 y[1] (numeric) 5.902041666666223 absolute error 5.098144129078719e-13 relative error 8.637933137396594e-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) 5.962311999999033 y[1] (numeric) 5.962311999999549 absolute error 5.160316618457728e-13 relative error 8.654891958788075e-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) 6.02307433333235 y[1] (numeric) 6.0230743333328745 absolute error 5.240252676230739e-13 relative error 8.700295540486042e-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) 6.084330666665669 y[1] (numeric) 6.084330666666199 absolute error 5.302425165609748e-13 relative error 8.714886576859209e-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) 6.146082999998988 y[1] (numeric) 6.146082999999526 absolute error 5.373479439185758e-13 relative error 8.742933408459733e-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) 6.208333333332306 y[1] (numeric) 6.208333333332851 absolute error 5.444533712761768e-13 relative error 8.769718731966715e-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) 6.271083666665625 y[1] (numeric) 6.271083666666177 absolute error 5.524469770534779e-13 relative error 8.809434005641604e-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) 6.334335999998943 y[1] (numeric) 6.334335999999503 absolute error 5.60440582830779e-13 relative error 8.847661109718092e-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) 6.398092333332261 y[1] (numeric) 6.398092333332829 absolute error 5.684341886080801e-13 relative error 8.884432405682831e-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) 6.462354666665578 y[1] (numeric) 6.462354666666154 absolute error 5.755396159656812e-13 relative error 8.906035735464298e-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) 6.527124999998896 y[1] (numeric) 6.527124999999478 absolute error 5.81756864903582e-13 relative error 8.912911349233858e-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) 6.592405333332213 y[1] (numeric) 6.592405333332802 absolute error 5.88862292261183e-13 relative error 8.932434558958397e-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) 6.65819766666553 y[1] (numeric) 6.658197666666126 absolute error 5.95967719618784e-13 relative error 8.95088655301591e-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) 6.724503999998848 y[1] (numeric) 6.72450399999945 absolute error 6.021849685566849e-13 relative error 8.955083803307845e-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) 6.791326333332165 y[1] (numeric) 6.791326333332775 absolute error 6.10178574333986e-13 relative error 8.984674633277442e-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) 6.858666666665481 y[1] (numeric) 6.8586666666661005 absolute error 6.190603585309873e-13 relative error 9.025957793513233e-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) 6.926526999998798 y[1] (numeric) 6.926526999999424 absolute error 6.252776074688882e-13 relative error 9.02728896413739e-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) 6.994909333332115 y[1] (numeric) 6.994909333332746 absolute error 6.31494856406789e-13 relative error 9.027920539264065e-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) 7.063815666665431 y[1] (numeric) 7.063815666666071 absolute error 6.394884621840902e-13 relative error 9.05301741099891e-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) 7.133247999998748 y[1] (numeric) 7.133247999999395 absolute error 6.474820679613913e-13 relative error 9.07696000421554e-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) 7.203208333332063 y[1] (numeric) 7.203208333332719 absolute error 6.554756737386924e-13 relative error 9.099773925815113e-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) 7.273698666665379 y[1] (numeric) 7.273698666666042 absolute error 6.625811010962934e-13 relative error 9.109273444785872e-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) 7.344720999998695 y[1] (numeric) 7.344720999999365 absolute error 6.696865284538944e-13 relative error 9.117930122247169e-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) 7.416277333332011 y[1] (numeric) 7.416277333332689 absolute error 6.776801342311956e-13 relative error 9.137739916836755e-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) 7.488369666665325 y[1] (numeric) 7.488369666666011 absolute error 6.856737400084967e-13 relative error 9.156515643996467e-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) 7.560999999998642 y[1] (numeric) 7.560999999999334 absolute error 6.918909889463976e-13 relative error 9.150786786754687e-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) 7.634170333331956 y[1] (numeric) 7.634170333332657 absolute error 7.007727731433988e-13 relative error 9.179422812767454e-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) 7.707882666665273 y[1] (numeric) 7.70788266666598 absolute error 7.069900220812997e-13 relative error 9.172298705828261e-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) 7.782138999998587 y[1] (numeric) 7.782138999999303 absolute error 7.158718062783009e-13 relative error 9.198907990186644e-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) 7.856941333331901 y[1] (numeric) 7.8569413333326255 absolute error 7.247535904753022e-13 relative error 9.22437319724717e-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) 7.932291666665216 y[1] (numeric) 7.9322916666659475 absolute error 7.318590178329032e-13 relative error 9.226325109910906e-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) 8.00819199999853 y[1] (numeric) 8.008191999999271 absolute error 7.407408020299044e-13 relative error 9.249788242215477e-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) 8.084644333331845 y[1] (numeric) 8.084644333332596 absolute error 7.513989430663059e-13 relative error 9.294149650695138e-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) 8.16165066666516 y[1] (numeric) 8.16165066666592 absolute error 7.602807272633072e-13 relative error 9.315281409538163e-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) 8.239212999998472 y[1] (numeric) 8.239212999999243 absolute error 7.709388682997087e-13 relative error 9.356947906309155e-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) 8.317333333331785 y[1] (numeric) 8.317333333332565 absolute error 7.7982065249671e-13 relative error 9.375849460927242e-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) 8.396013666665098 y[1] (numeric) 8.396013666665887 absolute error 7.887024366937112e-13 relative error 9.393772664105064e-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) 8.475255999998414 y[1] (numeric) 8.475255999999208 absolute error 7.94031507211912e-13 relative error 9.368820330761225e-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) 8.555062333331726 y[1] (numeric) 8.55506233333253 absolute error 8.046896482483135e-13 relative error 9.406005671205099e-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) 8.635434666665038 y[1] (numeric) 8.635434666665853 absolute error 8.15347789284715e-13 relative error 9.441884754593346e-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) 8.716374999998354 y[1] (numeric) 8.716374999999177 absolute error 8.22453216642316e-13 relative error 9.435725478108401e-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) 8.797885333331664 y[1] (numeric) 8.797885333332498 absolute error 8.348877145181177e-13 relative error 9.489640781689466e-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) 8.879967666664978 y[1] (numeric) 8.87996766666582 absolute error 8.419931418757187e-13 relative error 9.481939275933686e-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) 8.96262399999829 y[1] (numeric) 8.962623999999142 absolute error 8.526512829121202e-13 relative error 9.513411283484424e-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) 9.045856333331603 y[1] (numeric) 9.045856333332463 absolute error 8.597567102697212e-13 relative error 9.504425878418428e-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) 9.129666666664916 y[1] (numeric) 9.129666666665788 absolute error 8.72191208145523e-13 relative error 9.553374071477859e-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) 9.214056999998226 y[1] (numeric) 9.214056999999109 absolute error 8.828493491819245e-13 relative error 9.5815485966941e-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) 9.299029333331537 y[1] (numeric) 9.299029333332431 absolute error 8.93507490218326e-13 relative error 9.608610298879566e-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) 9.384585666664849 y[1] (numeric) 9.384585666665751 absolute error 9.023892744153272e-13 relative error 9.615653865473465e-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) 9.47072799999816 y[1] (numeric) 9.47072799999907 absolute error 9.094947017729282e-13 relative error 9.603218483025854e-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) 9.557458333331471 y[1] (numeric) 9.557458333332393 absolute error 9.2192919964873e-13 relative error 9.646175452667345e-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) 9.644778666664783 y[1] (numeric) 9.644778666665715 absolute error 9.325873406851315e-13 relative error 9.66934932274216e-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) 9.732690999998093 y[1] (numeric) 9.732690999999038 absolute error 9.450218385609332e-13 relative error 9.709769256633323e-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) 9.821197333331403 y[1] (numeric) 9.821197333332357 absolute error 9.539036227579345e-13 relative error 9.712701928109669e-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) 9.910299666664717 y[1] (numeric) 9.910299666665678 absolute error 9.610090501155355e-13 relative error 9.697073574354995e-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) 9.999999999998026 y[1] (numeric) 9.999999999998998 absolute error 9.71667191151937e-13 relative error 9.716671911521288e-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) 10.090300333331337 y[1] (numeric) 10.090300333332317 absolute error 9.805489753489383e-13 relative error 9.717738253140853e-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) 10.181202666664646 y[1] (numeric) 10.181202666665637 absolute error 9.912071163853398e-13 relative error 9.735658436804878e-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) 10.272708999997956 y[1] (numeric) 10.272708999998954 absolute error 9.983125437429408e-13 relative error 9.718103995188994e-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) 10.364821333331266 y[1] (numeric) 10.364821333332271 absolute error 1.0054179711005418e-12 relative error 9.700292352047705e-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) 10.457541666664575 y[1] (numeric) 10.457541666665591 absolute error 1.0160761121369433e-12 relative error 9.716204290879196e-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) 10.550871999997883 y[1] (numeric) 10.550871999998911 absolute error 1.028510610012745e-12 relative error 9.748110014157611e-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) 10.644814333331194 y[1] (numeric) 10.64481433333223 absolute error 1.035616037370346e-12 relative error 9.728831381563982e-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) 10.739370666664502 y[1] (numeric) 10.739370666665549 absolute error 1.0462741784067475e-12 relative error 9.742416114329961e-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) 10.83454299999781 y[1] (numeric) 10.83454299999887 absolute error 1.0604850331219495e-12 relative error 9.787999670333708e-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) 10.930333333331118 y[1] (numeric) 10.930333333332188 absolute error 1.0693668173189508e-12 relative error 9.783478551912117e-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) 11.026743666664428 y[1] (numeric) 11.026743666665508 absolute error 1.0800249583553523e-12 relative error 9.7945956757881e-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) 11.123775999997735 y[1] (numeric) 11.123775999998829 absolute error 1.0942358130705543e-12 relative error 9.8369098143542e-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) 11.221432333331043 y[1] (numeric) 11.22143233333215 absolute error 1.106670310946356e-12 relative error 9.86211276843163e-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) 11.319714666664352 y[1] (numeric) 11.319714666665467 absolute error 1.1155520951433573e-12 relative error 9.854948892206342e-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) 11.41862499999766 y[1] (numeric) 11.418624999998787 absolute error 1.127986593019159e-12 relative error 9.878480053591305e-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) 11.518165333330968 y[1] (numeric) 11.518165333332105 absolute error 1.1368683772161603e-12 relative error 9.870221031871457e-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) 11.618337666664273 y[1] (numeric) 11.618337666665424 absolute error 1.1510792319313623e-12 relative error 9.90743482377929e-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) 11.719143999997582 y[1] (numeric) 11.71914399999874 absolute error 1.1581846592889633e-12 relative error 9.882843484892773e-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) 11.820586333330887 y[1] (numeric) 11.820586333332056 absolute error 1.1688428003253648e-12 relative error 9.888196468135775e-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) 11.922666666664194 y[1] (numeric) 11.922666666665373 absolute error 1.1795009413617663e-12 relative error 9.892928942311655e-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) 12.025386999997501 y[1] (numeric) 12.02538699999869 absolute error 1.1883827255587676e-12 relative error 9.882282587321426e-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) 12.128749333330807 y[1] (numeric) 12.128749333332006 absolute error 1.199040866595169e-12 relative error 9.885939874279581e-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) 12.232755666664113 y[1] (numeric) 12.232755666665325 absolute error 1.2114753644709708e-12 relative error 9.903536026411468e-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) 12.337407999997419 y[1] (numeric) 12.337407999998645 absolute error 1.2256862191861728e-12 relative error 9.934714157029007e-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) 12.442708333330726 y[1] (numeric) 12.442708333331963 absolute error 1.2363443602225743e-12 relative error 9.936296239547259e-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) 12.54865866666403 y[1] (numeric) 12.548658666665277 absolute error 1.2470025012589758e-12 relative error 9.937337004565144e-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) 12.655260999997337 y[1] (numeric) 12.655260999998596 absolute error 1.2594369991347776e-12 relative error 9.951884825884213e-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) 12.762517333330642 y[1] (numeric) 12.762517333331916 absolute error 1.2736478538499796e-12 relative error 9.979597446059608e-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) 12.870429666663945 y[1] (numeric) 12.870429666665233 absolute error 1.2878587085651816e-12 relative error 1.0006338109293274e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) 12.978999999997251 y[1] (numeric) 12.97899999999855 absolute error 1.298516849601583e-12 relative error 1.0004752674334372e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) 13.088230333330557 y[1] (numeric) 13.088230333331866 absolute error 1.3091749906379846e-12 relative error 1.000268911301196e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) 13.198122666663862 y[1] (numeric) 13.198122666665183 absolute error 1.3216094885137863e-12 relative error 1.0013617253701844e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) 13.308678999997165 y[1] (numeric) 13.3086789999985 absolute error 1.3358203432289883e-12 relative error 1.0037212132242975e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) 13.419901333330467 y[1] (numeric) 13.419901333331815 absolute error 1.3482548411047901e-12 relative error 1.0046682219310988e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) 13.531791666663771 y[1] (numeric) 13.531791666665132 absolute error 1.3606893389805919e-12 relative error 1.0055500206470931e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) 13.644351999997076 y[1] (numeric) 13.644351999998447 absolute error 1.3713474800169934e-12 relative error 1.0050660375936411e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) 13.757584333330378 y[1] (numeric) 13.757584333331762 absolute error 1.3837819778927951e-12 relative error 1.0058320882251971e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) 13.871490666663682 y[1] (numeric) 13.871490666665077 absolute error 1.3944401189291966e-12 relative error 1.0052561418509622e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) 13.986072999996985 y[1] (numeric) 13.986072999998393 absolute error 1.4086509736443986e-12 relative error 1.0071811963549042e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) 14.101333333330288 y[1] (numeric) 14.101333333331707 absolute error 1.4193091146808001e-12 relative error 1.0065070310238559e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) 14.217273666663589 y[1] (numeric) 14.217273666665022 absolute error 1.4335199693960021e-12 relative error 1.0082945598475004e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) 14.333895999996892 y[1] (numeric) 14.333895999998338 absolute error 1.4459544672718039e-12 relative error 1.0087658423586423e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) 14.451202333330194 y[1] (numeric) 14.451202333331652 absolute error 1.4583889651476056e-12 relative error 1.0091817493856434e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) 14.569194666663497 y[1] (numeric) 14.569194666664968 absolute error 1.4708234630234074e-12 relative error 1.0095434213593646e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) 14.687874999996799 y[1] (numeric) 14.68787499999828 absolute error 1.4814816040598089e-12 relative error 1.0086425735922534e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) 14.807245333330101 y[1] (numeric) 14.807245333331595 absolute error 1.4939161019356106e-12 relative error 1.0089088607000434e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) 14.9273076666634 y[1] (numeric) 14.927307666664905 absolute error 1.5045742429720121e-12 relative error 1.0079341007569113e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) 15.048063999996701 y[1] (numeric) 15.04806399999822 absolute error 1.5187850976872141e-12 relative error 1.009289366185276e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) 15.169516333330003 y[1] (numeric) 15.169516333331533 absolute error 1.5294432387236157e-12 relative error 1.0082346761202723e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) 15.291666666663305 y[1] (numeric) 15.291666666664847 absolute error 1.5418777365994174e-12 relative error 1.0083124163050178e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) 15.414516999996605 y[1] (numeric) 15.414516999998161 absolute error 1.5560885913146194e-12 relative error 1.0094955238071762e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) 15.538069333329906 y[1] (numeric) 15.538069333331473 absolute error 1.566746732351021e-12 relative error 1.0083278036289064e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) 15.662325666663206 y[1] (numeric) 15.662325666664785 absolute error 1.5791812302268227e-12 relative error 1.0082673951723931e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) 15.787287999996506 y[1] (numeric) 15.787287999998098 absolute error 1.5916157281026244e-12 relative error 1.0081628510881518e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) 15.912958333329806 y[1] (numeric) 15.91295833333141 absolute error 1.6040502259784262e-12 relative error 1.008015098373463e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) 16.039338666663106 y[1] (numeric) 16.039338666664726 absolute error 1.6200374375330284e-12 relative error 1.0100400466636372e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) 16.1664309999964 y[1] (numeric) 16.166430999998042 absolute error 1.6413537196058314e-12 relative error 1.0152851421604415e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) 16.294237333329704 y[1] (numeric) 16.294237333331356 absolute error 1.652011860642233e-12 relative error 1.0138626477859498e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) 16.422759666663005 y[1] (numeric) 16.42275966666467 absolute error 1.666222715357435e-12 relative error 1.0145814401338069e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) 16.551999999996298 y[1] (numeric) 16.55199999999798 absolute error 1.6839862837514374e-12 relative error 1.0173914232430003e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) 16.6819603333296 y[1] (numeric) 16.681960333331297 absolute error 1.6981971384666394e-12 relative error 1.0179841604548952e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) 16.812642666662896 y[1] (numeric) 16.81264266666461 absolute error 1.7124079931818414e-12 relative error 1.0185239924103695e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) 16.9440489999962 y[1] (numeric) 16.944048999997925 absolute error 1.7266188478970435e-12 relative error 1.0190119539299201e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) 17.076181333329494 y[1] (numeric) 17.076181333331238 absolute error 1.744382416291046e-12 relative error 1.0215295693108737e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) 17.209041666662788 y[1] (numeric) 17.20904166666455 absolute error 1.7621459846850485e-12 relative error 1.0239652031865685e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) 17.342631999996087 y[1] (numeric) 17.342631999997863 absolute error 1.7763568394002505e-12 relative error 1.024271771090254e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) 17.476954333329385 y[1] (numeric) 17.476954333331175 absolute error 1.7905676941154525e-12 relative error 1.0245307391464397e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) 17.61201066666268 y[1] (numeric) 17.612010666664485 absolute error 1.8047785488306545e-12 relative error 1.0247430477923074e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) 17.74780299999598 y[1] (numeric) 17.7478029999978 absolute error 1.8189894035458565e-12 relative error 1.024909620388658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) 17.884333333329273 y[1] (numeric) 17.884333333331103 absolute error 1.829647544582258e-12 relative error 1.0230448686463049e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) 18.02160366666257 y[1] (numeric) 18.021603666664415 absolute error 1.84385839929746e-12 relative error 1.0231378036064229e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) 18.159615999995868 y[1] (numeric) 18.15961599999772 absolute error 1.850963826655061e-12 relative error 1.0192747614572259e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) 18.298372333329162 y[1] (numeric) 18.298372333331027 absolute error 1.865174681370263e-12 relative error 1.019311798554335e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) 18.43787466666246 y[1] (numeric) 18.437874666664342 absolute error 1.8829382497642655e-12 relative error 1.0212338915443482e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) 18.578124999995755 y[1] (numeric) 18.57812499999765 absolute error 1.8971491044794675e-12 relative error 1.0211736138495682e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) 18.71912533332905 y[1] (numeric) 18.719125333330965 absolute error 1.91491267287347e-12 relative error 1.0229712333107809e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) 18.860877666662343 y[1] (numeric) 18.860877666664276 absolute error 1.9326762412674725e-12 relative error 1.0247011170024107e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) 19.003383999995638 y[1] (numeric) 19.003383999997588 absolute error 1.950439809661475e-12 relative error 1.0263644673295675e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) 19.14664633332893 y[1] (numeric) 19.1466463333309 absolute error 1.9682033780554775e-12 relative error 1.0279624660060641e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) 19.29066666666223 y[1] (numeric) 19.29066666666421 absolute error 1.9824142327706795e-12 relative error 1.0276545995150344e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) 19.43544699999552 y[1] (numeric) 19.435446999997524 absolute error 2.0037305148434825e-12 relative error 1.0309670340198218e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) 19.580989333328812 y[1] (numeric) 19.580989333330834 absolute error 2.021494083237485e-12 relative error 1.0323758666252368e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) 19.727295666662105 y[1] (numeric) 19.727295666664144 absolute error 2.0392576516314875e-12 relative error 1.0337238748226932e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) 19.874367999995403 y[1] (numeric) 19.874367999997453 absolute error 2.049915792667889e-12 relative error 1.0314369708100218e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) 20.022208333328695 y[1] (numeric) 20.02220833333077 absolute error 2.0747847884194925e-12 relative error 1.0362417341177267e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) 20.170818666661987 y[1] (numeric) 20.17081866666408 absolute error 2.092548356813495e-12 relative error 1.0374136971802866e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) 20.32020099999528 y[1] (numeric) 20.320200999997393 absolute error 2.113864638886298e-12 relative error 1.0402774258417962e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) 20.47035733332857 y[1] (numeric) 20.4703573333307 absolute error 2.1280754936015e-12 relative error 1.0395888351869164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) 20.621289666661863 y[1] (numeric) 20.621289666664005 absolute error 2.142286348316702e-12 relative error 1.0388711777712454e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) 20.772999999995154 y[1] (numeric) 20.77299999999731 absolute error 2.156497203031904e-12 relative error 1.0381250676514742e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) 20.925490333328447 y[1] (numeric) 20.925490333330625 absolute error 2.177813485104707e-12 relative error 1.040746692389836e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) 21.07876266666174 y[1] (numeric) 21.07876266666393 absolute error 2.192024339819909e-12 relative error 1.0399207840063707e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) 21.23281899999503 y[1] (numeric) 21.23281899999724 absolute error 2.2097879082139116e-12 relative error 1.0407416500910355e-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) 21.38766133332832 y[1] (numeric) 21.387661333330545 absolute error 2.2239987629291136e-12 relative error 1.0398513087840342e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) 21.543291666661613 y[1] (numeric) 21.54329166666385 absolute error 2.2382096176443156e-12 relative error 1.0389357635202794e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) 21.699711999994904 y[1] (numeric) 21.699711999997156 absolute error 2.2524204723595176e-12 relative error 1.037995560659997e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) 21.85692433332819 y[1] (numeric) 21.856924333330465 absolute error 2.2737367544323206e-12 relative error 1.0402821182691512e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) 22.01493066666148 y[1] (numeric) 22.014930666663773 absolute error 2.291500322826323e-12 relative error 1.04088464211994e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) 22.173732999994773 y[1] (numeric) 22.17373299999708 absolute error 2.305711177541525e-12 relative error 1.0398389741330739e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) 22.33333333332806 y[1] (numeric) 22.33333333333039 absolute error 2.3305801732931286e-12 relative error 1.0435433611762742e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) 22.493733666661424 y[1] (numeric) 22.493733666663697 absolute error 2.2737367544323206e-12 relative error 1.0108311888667412e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) 22.654935999994787 y[1] (numeric) 22.654935999997 absolute error 2.213340621892712e-12 relative error 9.769794193606291e-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) 22.816942333328143 y[1] (numeric) 22.81694233333031 absolute error 2.1671553440683056e-12 relative error 9.498009472122807e-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) 22.979754666661506 y[1] (numeric) 22.979754666663617 absolute error 2.1103119252074976e-12 relative error 9.183352719901267e-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) 23.143374999994872 y[1] (numeric) 23.143374999996926 absolute error 2.0534685063466895e-12 relative error 8.872813521567812e-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) 23.307805333328233 y[1] (numeric) 23.307805333330236 absolute error 2.0037305148434825e-12 relative error 8.596821906601021e-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) 23.473047666661596 y[1] (numeric) 23.473047666663543 absolute error 1.9468870959826745e-12 relative error 8.294138552565579e-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) 23.639103999994962 y[1] (numeric) 23.639103999996856 absolute error 1.893596390800667e-12 relative error 8.010440627534236e-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) 23.80597633332832 y[1] (numeric) 23.805976333330165 absolute error 1.84385839929746e-12 relative error 7.745359289112885e-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) 23.97366666666169 y[1] (numeric) 23.973666666663476 absolute error 1.787014980436652e-12 relative error 7.454074528039194e-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) 24.142176999995055 y[1] (numeric) 24.142176999996785 absolute error 1.730171561575844e-12 relative error 7.166592977825481e-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) 24.31150933332842 y[1] (numeric) 24.311509333330093 absolute error 1.673328142715036e-12 relative error 6.882864077966094e-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) 24.481665666661787 y[1] (numeric) 24.481665666663407 absolute error 1.6200374375330284e-12 relative error 6.6173497326169866e-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) 24.652647999995153 y[1] (numeric) 24.652647999996717 absolute error 1.5631940186722204e-12 relative error 6.340876723151719e-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) 24.824458333328522 y[1] (numeric) 24.82445833333003 absolute error 1.5063505998114124e-12 relative error 6.068009942392315e-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) 24.997098666661888 y[1] (numeric) 24.99709866666334 absolute error 1.4530598946294049e-12 relative error 5.812914186586464e-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) 25.17057099999526 y[1] (numeric) 25.170570999996656 absolute error 1.3962164757685969e-12 relative error 5.54701947670897e-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) 25.344877333328625 y[1] (numeric) 25.34487733332997 absolute error 1.3429257705865894e-12 relative error 5.298608286498337e-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) 25.520019666661995 y[1] (numeric) 25.52001966666328 absolute error 1.2860823517257813e-12 relative error 5.039503764199098e-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) 25.695999999995365 y[1] (numeric) 25.695999999996594 absolute error 1.2292389328649733e-12 relative error 4.783775423665921e-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) 25.872820333328733 y[1] (numeric) 25.872820333329912 absolute error 1.1795009413617663e-12 relative error 4.558841773590342e-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) 26.050482666662106 y[1] (numeric) 26.050482666663225 absolute error 1.1191048088221578e-12 relative error 4.295908153188744e-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) 26.22898899999548 y[1] (numeric) 26.228988999996538 absolute error 1.0587086762825493e-12 relative error 4.036406726476311e-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) 26.40834133332885 y[1] (numeric) 26.40834133332985 absolute error 1.0018652574217413e-12 relative error 3.793745486610057e-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) 26.58854166666222 y[1] (numeric) 26.588541666663165 absolute error 9.450218385609332e-13 relative error 3.5542447209349565e-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) 26.769591999995598 y[1] (numeric) 26.76959199999648 absolute error 8.810729923425242e-13 relative error 3.2913202126602047e-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) 26.951494333328966 y[1] (numeric) 26.95149433332979 absolute error 8.242295734817162e-13 relative error 3.0581961923441517e-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) 27.134250666662343 y[1] (numeric) 27.13425066666311 absolute error 7.673861546209082e-13 relative error 2.8281088873544367e-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) 27.317862999995715 y[1] (numeric) 27.31786299999642 absolute error 7.069900220812997e-13 relative error 2.588013645435628e-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) 27.50233333332909 y[1] (numeric) 27.50233333332973 absolute error 6.394884621840902e-13 relative error 2.32521529876564e-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) 27.68766366666247 y[1] (numeric) 27.687663666663045 absolute error 5.755396159656812e-13 relative error 2.0786860996822343e-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) 27.873855999995843 y[1] (numeric) 27.87385599999635 absolute error 5.080380560684716e-13 relative error 1.822632850182434e-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) 28.060912333329224 y[1] (numeric) 28.060912333329664 absolute error 4.405364961712621e-13 relative error 1.5699293413493789e-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) 28.2488346666626 y[1] (numeric) 28.248834666662983 absolute error 3.836930773104541e-13 relative error 1.3582616126932245e-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) 28.437624999995975 y[1] (numeric) 28.4376249999963 absolute error 3.232969447708456e-13 relative error 1.1368633800146508e-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) 28.627285333329358 y[1] (numeric) 28.627285333329617 absolute error 2.5934809855243657e-13 relative error 9.059472301779525e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) 28.817817666662734 y[1] (numeric) 28.817817666662933 absolute error 1.9895196601282805e-13 relative error 6.903783218913946e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) 29.00922399999611 y[1] (numeric) 29.009223999996244 absolute error 1.3500311979441904e-13 relative error 4.653799763635082e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 29.201506333329494 y[1] (numeric) 29.201506333329558 absolute error 6.394884621840902e-14 relative error 2.1899160094155906e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 29.394666666662875 y[1] (numeric) 29.394666666662875 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] 4.409999999999807 y[1] (closed_form) 29.58870699999626 y[1] (numeric) 29.588706999996187 absolute error 7.105427357601002e-14 relative error 2.4013983975717155e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 29.78362933332964 y[1] (numeric) 29.783629333329504 absolute error 1.3500311979441904e-13 relative error 4.5327961305018854e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 29.97943566666302 y[1] (numeric) 29.979435666662827 absolute error 1.9184653865522705e-13 relative error 6.399271180029564e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 30.1761279999964 y[1] (numeric) 30.17612799999614 absolute error 2.5934809855243657e-13 relative error 8.594479005141664e-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) 30.373708333329784 y[1] (numeric) 30.373708333329457 absolute error 3.268496584496461e-13 relative error 1.0760940180984957e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) 30.572178666663167 y[1] (numeric) 30.572178666662776 absolute error 3.907985046680551e-13 relative error 1.2782815020448433e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) 30.77154099999655 y[1] (numeric) 30.7715409999961 absolute error 4.511946372076636e-13 relative error 1.4662724795216275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) 30.971797333329935 y[1] (numeric) 30.971797333329416 absolute error 5.186961971048731e-13 relative error 1.6747371536836331e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) 31.172949666663325 y[1] (numeric) 31.17294966666274 absolute error 5.861977570020827e-13 relative error 1.8804693276394327e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) 31.374999999996707 y[1] (numeric) 31.374999999996053 absolute error 6.536993168992922e-13 relative error 2.083503798882425e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) 31.577950333330094 y[1] (numeric) 31.577950333329373 absolute error 7.212008767965017e-13 relative error 2.2838748847966995e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) 31.781802666663484 y[1] (numeric) 31.781802666662692 absolute error 7.922551503725117e-13 relative error 2.492794882285021e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) 31.986558999996873 y[1] (numeric) 31.986558999996017 absolute error 8.562039965909207e-13 relative error 2.6767618129571375e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) 32.19222133333025 y[1] (numeric) 32.19222133332934 absolute error 9.094947017729282e-13 relative error 2.825200200867412e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) 32.39879166666364 y[1] (numeric) 32.39879166666265 absolute error 9.876544027065393e-13 relative error 3.0484297466030956e-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) 32.606271999997034 y[1] (numeric) 32.606271999995975 absolute error 1.0587086762825493e-12 relative error 3.2469479377545693e-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) 32.81466433333043 y[1] (numeric) 32.814664333329304 absolute error 1.1226575225009583e-12 relative error 3.421206784555329e-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) 33.023970666663814 y[1] (numeric) 33.02397066666262 absolute error 1.1937117960769683e-12 relative error 3.6146828257752957e-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) 33.234192999997205 y[1] (numeric) 33.23419299999595 absolute error 1.2576606422953773e-12 relative error 3.784237042540744e-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) 33.4453333333306 y[1] (numeric) 33.44533333332928 absolute error 1.3216094885137863e-12 relative error 3.951551253330492e-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) 33.65739366666399 y[1] (numeric) 33.65739366666261 absolute error 1.3855583347321954e-12 relative error 4.116653679291048e-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) 33.870375999997385 y[1] (numeric) 33.870375999995936 absolute error 1.4495071809506044e-12 relative error 4.279572157541789e-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) 34.08428233333078 y[1] (numeric) 34.084282333329256 absolute error 1.5276668818842154e-12 relative error 4.482027425263757e-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) 34.299114666664174 y[1] (numeric) 34.29911466666257 absolute error 1.6058265828178264e-12 relative error 4.68183099891658e-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) 34.514874999997566 y[1] (numeric) 34.5148749999959 absolute error 1.6697754290362354e-12 relative error 4.8378428982760425e-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) 34.73156533333096 y[1] (numeric) 34.73156533332922 absolute error 1.7408297026122455e-12 relative error 5.012240841738329e-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) 34.949187666664365 y[1] (numeric) 34.94918766666254 absolute error 1.8260948309034575e-12 relative error 5.2249993571245265e-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) 35.167743999997754 y[1] (numeric) 35.167743999995864 absolute error 1.8900436771218665e-12 relative error 5.374367139165899e-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) 35.38723633333115 y[1] (numeric) 35.38723633332919 absolute error 1.9610979506978765e-12 relative error 5.5418228545039644e-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) 35.60766666666455 y[1] (numeric) 35.60766666666252 absolute error 2.0321522242738865e-12 relative error 5.707063715512597e-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) 35.82903699999795 y[1] (numeric) 35.82903699999584 absolute error 2.1103119252074976e-12 relative error 5.889948773135092e-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) 36.05134933333135 y[1] (numeric) 36.05134933332917 absolute error 2.1813661987835076e-12 relative error 6.050719984471485e-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) 36.27460566666475 y[1] (numeric) 36.27460566666251 absolute error 2.2382096176443156e-12 relative error 6.1701831805194835e-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) 36.49880799999815 y[1] (numeric) 36.49880799999583 absolute error 2.3163693185779266e-12 relative error 6.3464245697504535e-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) 36.72395833333155 y[1] (numeric) 36.723958333329165 absolute error 2.3874235921539366e-12 relative error 6.50099744282482e-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) 36.95005866666495 y[1] (numeric) 36.95005866666249 absolute error 2.4584778657299466e-12 relative error 6.653515459632813e-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) 37.177110999998355 y[1] (numeric) 37.177110999995826 absolute error 2.5295321393059567e-12 relative error 6.804004053209161e-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) 37.40511733333176 y[1] (numeric) 37.40511733332916 absolute error 2.6005864128819667e-12 relative error 6.952488317860669e-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) 37.63407966666516 y[1] (numeric) 37.634079666662494 absolute error 2.6645352591003757e-12 relative error 7.080112713532145e-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) 37.86399999999856 y[1] (numeric) 37.863999999995826 absolute error 2.7355895326763857e-12 relative error 7.224776919175178e-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) 38.094880333331965 y[1] (numeric) 38.09488033332915 absolute error 2.8137492336099967e-12 relative error 7.38616110351197e-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) 38.32672266666537 y[1] (numeric) 38.32672266666248 absolute error 2.8919089345436078e-12 relative error 7.545411486640997e-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) 38.559528999998776 y[1] (numeric) 38.559528999995806 absolute error 2.9700686354772188e-12 relative error 7.702554238868719e-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) 38.79330133333219 y[1] (numeric) 38.79330133332913 absolute error 3.055333763768431e-12 relative error 7.875931304519346e-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) 39.028041666665594 y[1] (numeric) 39.02804166666247 absolute error 3.126388037344441e-12 relative error 8.010619810357365e-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) 39.263751999999 y[1] (numeric) 39.2637519999958 absolute error 3.204547738278052e-12 relative error 8.161593263624254e-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) 39.50043433333241 y[1] (numeric) 39.500434333329125 absolute error 3.282707439211663e-12 relative error 8.310560363741503e-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) 39.73809066666582 y[1] (numeric) 39.73809066666245 absolute error 3.367972567502875e-12 relative error 8.475426249726911e-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) 39.976722999999225 y[1] (numeric) 39.976722999995786 absolute error 3.439026841078885e-12 relative error 8.602573155080649e-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) 40.21633333333264 y[1] (numeric) 40.21633333332911 absolute error 3.531397396727698e-12 relative error 8.781002901129122e-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) 40.45692366666605 y[1] (numeric) 40.45692366666245 absolute error 3.602451670303708e-12 relative error 8.904413247001034e-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) 40.69849599999946 y[1] (numeric) 40.69849599999578 absolute error 3.680611371237319e-12 relative error 9.043605373617167e-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) 40.94105233333287 y[1] (numeric) 40.94105233332911 absolute error 3.75877107217093e-12 relative error 9.180934191842111e-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) 41.184594666666285 y[1] (numeric) 41.18459466666244 absolute error 3.844036200462142e-12 relative error 9.333674961655996e-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) 41.429124999999694 y[1] (numeric) 41.42912499999578 absolute error 3.915090474038152e-12 relative error 9.45009211282686e-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) 41.67464533333312 y[1] (numeric) 41.67464533332912 absolute error 4.000355602329364e-12 relative error 9.599015349339309e-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) 41.921157666666524 y[1] (numeric) 41.921157666662445 absolute error 4.078515303262975e-12 relative error 9.729014011714648e-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) 42.16866399999994 y[1] (numeric) 42.168663999995786 absolute error 4.156675004196586e-12 relative error 9.857260368022549e-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) 42.41716633333336 y[1] (numeric) 42.41716633332912 absolute error 4.241940132487798e-12 relative error 1.000052690732027e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.000000000000004 y[1] (closed_form) 42.66666666666678 y[1] (numeric) 42.66666666666245 absolute error 4.32720526077901e-12 relative error 1.0141887329950779e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.010000000000008 y[1] (closed_form) 42.9171670000002 y[1] (numeric) 42.91716699999578 absolute error 4.419575816427823e-12 relative error 1.0297920681548721e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.020000000000011 y[1] (closed_form) 43.16866933333362 y[1] (numeric) 43.16866933332911 absolute error 4.504840944719035e-12 relative error 1.043544082847262e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.0300000000000145 y[1] (closed_form) 43.42117566666703 y[1] (numeric) 43.421175666662464 absolute error 4.568789790937444e-12 relative error 1.0522031522156019e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.040000000000018 y[1] (closed_form) 43.67468800000045 y[1] (numeric) 43.6746879999958 absolute error 4.654054919228656e-12 relative error 1.065618355242425e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.050000000000021 y[1] (closed_form) 43.92920833333387 y[1] (numeric) 43.929208333329136 absolute error 4.732214620162267e-12 relative error 1.0772364901853743e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.0600000000000245 y[1] (closed_form) 44.18473866666729 y[1] (numeric) 44.184738666662476 absolute error 4.817479748453479e-12 relative error 1.0903040040129869e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.070000000000028 y[1] (closed_form) 44.441281000000714 y[1] (numeric) 44.441280999995804 absolute error 4.909850304102292e-12 relative error 1.104794954965905e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.080000000000031 y[1] (closed_form) 44.69883733333413 y[1] (numeric) 44.69883733332914 absolute error 4.995115432393504e-12 relative error 1.1175045550163337e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.0900000000000345 y[1] (closed_form) 44.95740966666756 y[1] (numeric) 44.95740966666247 absolute error 5.087485988042317e-12 relative error 1.1316234689149128e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.100000000000038 y[1] (closed_form) 45.21700000000098 y[1] (numeric) 45.21699999999581 absolute error 5.172751116333529e-12 relative error 1.1439837044327172e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.110000000000041 y[1] (closed_form) 45.47761033333441 y[1] (numeric) 45.47761033332914 absolute error 5.272227099339943e-12 relative error 1.1593017004843545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.1200000000000445 y[1] (closed_form) 45.73924266666783 y[1] (numeric) 45.73924266666248 absolute error 5.350386800273554e-12 relative error 1.1697585024013993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.130000000000048 y[1] (closed_form) 46.00189900000126 y[1] (numeric) 46.001898999995824 absolute error 5.4356519285647664e-12 relative error 1.181614682594868e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.140000000000051 y[1] (closed_form) 46.26558133333469 y[1] (numeric) 46.265581333329166 absolute error 5.5209170568559784e-12 relative error 1.1933097775382578e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.1500000000000545 y[1] (closed_form) 46.53029166666811 y[1] (numeric) 46.53029166666251 absolute error 5.6061821851471905e-12 relative error 1.2048457003683835e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.160000000000058 y[1] (closed_form) 46.79603200000154 y[1] (numeric) 46.796031999995854 absolute error 5.6843418860808015e-12 relative error 1.2147059575650805e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.170000000000061 y[1] (closed_form) 47.062804333334974 y[1] (numeric) 47.0628043333292 absolute error 5.7767124417296145e-12 relative error 1.2274475615210889e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.1800000000000646 y[1] (closed_form) 47.3306106666684 y[1] (numeric) 47.33061066666254 absolute error 5.8619775700208265e-12 relative error 1.2385172064025371e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.190000000000068 y[1] (closed_form) 47.59945300000183 y[1] (numeric) 47.599452999995876 absolute error 5.9543481256696396e-12 relative error 1.250927846937529e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.200000000000071 y[1] (closed_form) 47.869333333335256 y[1] (numeric) 47.869333333329195 absolute error 6.0609295360336546e-12 relative error 1.2661403687886632e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.210000000000075 y[1] (closed_form) 48.14025366666869 y[1] (numeric) 48.14025366666253 absolute error 6.160405519040069e-12 relative error 1.2796786576356172e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.220000000000078 y[1] (closed_form) 48.412216000002125 y[1] (numeric) 48.41221599999587 absolute error 6.252776074688882e-12 relative error 1.2915698952282225e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.230000000000081 y[1] (closed_form) 48.68522233333556 y[1] (numeric) 48.68522233332922 absolute error 6.338041202980094e-12 relative error 1.3018408665334027e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.240000000000085 y[1] (closed_form) 48.95927466666899 y[1] (numeric) 48.959274666662566 absolute error 6.423306331271306e-12 relative error 1.3119692591451383e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.250000000000088 y[1] (closed_form) 49.23437500000242 y[1] (numeric) 49.23437499999591 absolute error 6.515676886920119e-12 relative error 1.323399938949118e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.260000000000091 y[1] (closed_form) 49.510525333335856 y[1] (numeric) 49.510525333329255 absolute error 6.600942015211331e-12 relative error 1.3332401485885387e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.270000000000095 y[1] (closed_form) 49.7877276666693 y[1] (numeric) 49.7877276666626 absolute error 6.700417998217745e-12 relative error 1.3457971094959975e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.280000000000098 y[1] (closed_form) 50.06598400000272 y[1] (numeric) 50.065983999995936 absolute error 6.785683126508957e-12 relative error 1.3553479996535348e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.290000000000101 y[1] (closed_form) 50.345296333336165 y[1] (numeric) 50.34529633332927 absolute error 6.892264536872972e-12 relative error 1.3689987027267242e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.300000000000105 y[1] (closed_form) 50.62566666666961 y[1] (numeric) 50.62566666666262 absolute error 6.991740519879386e-12 relative error 1.3810663602544781e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.310000000000108 y[1] (closed_form) 50.90709700000304 y[1] (numeric) 50.907096999995964 absolute error 7.077005648170598e-12 relative error 1.3901805573730074e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.320000000000111 y[1] (closed_form) 51.18958933333648 y[1] (numeric) 51.1895893333293 absolute error 7.176481631177012e-12 relative error 1.4019416300539517e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.330000000000115 y[1] (closed_form) 51.47314566666992 y[1] (numeric) 51.47314566666267 absolute error 7.254641332110623e-12 relative error 1.4094031437461135e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.340000000000118 y[1] (closed_form) 51.75776800000336 y[1] (numeric) 51.75776799999601 absolute error 7.347011887759436e-12 relative error 1.4194993663094126e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.350000000000121 y[1] (closed_form) 52.04345833333681 y[1] (numeric) 52.043458333329355 absolute error 7.453593298123451e-12 relative error 1.4321863951437291e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.360000000000125 y[1] (closed_form) 52.33021866667025 y[1] (numeric) 52.330218666662695 absolute error 7.553069281129865e-12 relative error 1.443347548238033e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.370000000000128 y[1] (closed_form) 52.618051000003696 y[1] (numeric) 52.61805099999604 absolute error 7.652545264136279e-12 relative error 1.4543574151265582e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.380000000000131 y[1] (closed_form) 52.90695733333714 y[1] (numeric) 52.906957333329395 absolute error 7.744915819785092e-12 relative error 1.46387473598013e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.390000000000135 y[1] (closed_form) 53.19693966667058 y[1] (numeric) 53.19693966666274 absolute error 7.837286375433905e-12 relative error 1.4732588800299335e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.400000000000138 y[1] (closed_form) 53.48800000000403 y[1] (numeric) 53.48799999999609 absolute error 7.936762358440319e-12 relative error 1.483839806767821e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.410000000000141 y[1] (closed_form) 53.78014033333747 y[1] (numeric) 53.780140333329435 absolute error 8.036238341446733e-12 relative error 1.4942761940814785e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.420000000000145 y[1] (closed_form) 54.07336266667091 y[1] (numeric) 54.073362666662774 absolute error 8.135714324453147e-12 relative error 1.504569703682908e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.430000000000148 y[1] (closed_form) 54.36766900000436 y[1] (numeric) 54.36766899999613 absolute error 8.235190307459561e-12 relative error 1.5147219770372903e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.440000000000151 y[1] (closed_form) 54.663061333337815 y[1] (numeric) 54.66306133332948 absolute error 8.334666290465975e-12 relative error 1.5247346356327913e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.450000000000155 y[1] (closed_form) 54.959541666671264 y[1] (numeric) 54.95954166666283 absolute error 8.43414227347239e-12 relative error 1.5346092812464352e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.460000000000158 y[1] (closed_form) 55.25711200000472 y[1] (numeric) 55.257111999996155 absolute error 8.562039965909207e-12 relative error 1.549491034911212e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.470000000000161 y[1] (closed_form) 55.55577433333816 y[1] (numeric) 55.5557743333295 absolute error 8.65441052155802e-12 relative error 1.5577877593121123e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.480000000000165 y[1] (closed_form) 55.85553066667162 y[1] (numeric) 55.85553066666286 absolute error 8.760991931922035e-12 relative error 1.5685093002168222e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.490000000000168 y[1] (closed_form) 56.156383000005064 y[1] (numeric) 56.15638299999621 absolute error 8.853362487570848e-12 relative error 1.5765549728461056e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.500000000000171 y[1] (closed_form) 56.45833333333852 y[1] (numeric) 56.45833333332957 absolute error 8.952838470577262e-12 relative error 1.585742607334572e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.510000000000175 y[1] (closed_form) 56.761383666671975 y[1] (numeric) 56.76138366666292 absolute error 9.052314453583676e-12 relative error 1.594801583193053e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.520000000000178 y[1] (closed_form) 57.06553600000543 y[1] (numeric) 57.06553599999627 absolute error 9.158895863947691e-12 relative error 1.6049785047049798e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.530000000000181 y[1] (closed_form) 57.370792333338876 y[1] (numeric) 57.370792333329625 absolute error 9.251266419596504e-12 relative error 1.612539420031764e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.540000000000185 y[1] (closed_form) 57.677154666672344 y[1] (numeric) 57.677154666662986 absolute error 9.35784782996052e-12 relative error 1.6224530984653055e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.550000000000188 y[1] (closed_form) 57.98462500000579 y[1] (numeric) 57.98462499999634 absolute error 9.450218385609332e-12 relative error 1.629780029724843e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.5600000000001915 y[1] (closed_form) 58.29320533333925 y[1] (numeric) 58.2932053333297 absolute error 9.549694368615746e-12 relative error 1.6382174069872348e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.570000000000195 y[1] (closed_form) 58.60289766667271 y[1] (numeric) 58.60289766666306 absolute error 9.64917035162216e-12 relative error 1.6465346827226283e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.580000000000198 y[1] (closed_form) 58.91370400000617 y[1] (numeric) 58.913703999996414 absolute error 9.755751761986176e-12 relative error 1.655939297584337e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.5900000000002015 y[1] (closed_form) 59.225626333339626 y[1] (numeric) 59.22562633332978 absolute error 9.848122317634989e-12 relative error 1.6628143807558566e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.600000000000205 y[1] (closed_form) 59.538666666673095 y[1] (numeric) 59.53866666666314 absolute error 9.954703727999004e-12 relative error 1.671972901867346e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.610000000000208 y[1] (closed_form) 59.85282700000655 y[1] (numeric) 59.852826999996495 absolute error 1.0054179711005418e-11 relative error 1.6798170136565677e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.6200000000002115 y[1] (closed_form) 60.168109333340006 y[1] (numeric) 60.16810933332985 absolute error 1.0153655694011832e-11 relative error 1.687547740242113e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.630000000000215 y[1] (closed_form) 60.484515666673474 y[1] (numeric) 60.48451566666321 absolute error 1.0260237104375847e-11 relative error 1.696341119918922e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.640000000000218 y[1] (closed_form) 60.80204800000694 y[1] (numeric) 60.80204799999657 absolute error 1.0373923942097463e-11 relative error 1.7061800191494007e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.6500000000002215 y[1] (closed_form) 61.12070833334041 y[1] (numeric) 61.12070833332993 absolute error 1.0480505352461478e-11 relative error 1.7147224955743066e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.660000000000225 y[1] (closed_form) 61.440498666673875 y[1] (numeric) 61.44049866666329 absolute error 1.0587086762825493e-11 relative error 1.723144667210858e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.670000000000228 y[1] (closed_form) 61.761421000007346 y[1] (numeric) 61.761420999996645 absolute error 1.0700773600547109e-11 relative error 1.7325983481736658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.6800000000002315 y[1] (closed_form) 62.083477333340795 y[1] (numeric) 62.083477333329995 absolute error 1.0800249583553523e-11 relative error 1.739633481798135e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.690000000000235 y[1] (closed_form) 62.40666966667427 y[1] (numeric) 62.406669666663355 absolute error 1.0913936421275139e-11 relative error 1.74884134653692e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.700000000000238 y[1] (closed_form) 62.73100000000775 y[1] (numeric) 62.73099999999672 absolute error 1.1027623258996755e-11 relative error 1.7579224401006508e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.7100000000002415 y[1] (closed_form) 63.05647033334122 y[1] (numeric) 63.056470333330076 absolute error 1.1141310096718371e-11 relative error 1.766878170919025e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.720000000000245 y[1] (closed_form) 63.38308266667468 y[1] (numeric) 63.38308266666343 absolute error 1.1254996934439987e-11 relative error 1.775709930933605e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.730000000000248 y[1] (closed_form) 63.71083900000815 y[1] (numeric) 63.71083899999678 absolute error 1.1368683772161603e-11 relative error 1.7844190958088228e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.740000000000252 y[1] (closed_form) 64.03974133334162 y[1] (numeric) 64.03974133333014 absolute error 1.1482370609883219e-11 relative error 1.793007025140035e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.750000000000255 y[1] (closed_form) 64.3697916666751 y[1] (numeric) 64.3697916666635 absolute error 1.1596057447604835e-11 relative error 1.801475062658659e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.760000000000258 y[1] (closed_form) 64.70099200000857 y[1] (numeric) 64.70099199999686 absolute error 1.1709744285326451e-11 relative error 1.8098245364344492e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.770000000000262 y[1] (closed_form) 65.03334433334204 y[1] (numeric) 65.03334433333022 absolute error 1.1823431123048067e-11 relative error 1.8180567590749433e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.780000000000265 y[1] (closed_form) 65.36685066667552 y[1] (numeric) 65.36685066666357 absolute error 1.1951328815484885e-11 relative error 1.8283470434315656e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.790000000000268 y[1] (closed_form) 65.701513000009 y[1] (numeric) 65.70151299999694 absolute error 1.2065015653206501e-11 relative error 1.8363375670214546e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.800000000000272 y[1] (closed_form) 66.03733333334246 y[1] (numeric) 66.0373333333303 absolute error 1.2164491636212915e-11 relative error 1.8420628184377373e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.810000000000275 y[1] (closed_form) 66.37431366667595 y[1] (numeric) 66.37431366666365 absolute error 1.2292389328649733e-11 relative error 1.851979877393637e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.820000000000278 y[1] (closed_form) 66.71245600000942 y[1] (numeric) 66.71245599999703 absolute error 1.2391865311656147e-11 relative error 1.857503988708555e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.830000000000282 y[1] (closed_form) 67.05176233334291 y[1] (numeric) 67.05176233333042 absolute error 1.2491341294662561e-11 relative error 1.862940042136816e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.840000000000285 y[1] (closed_form) 67.39223466667639 y[1] (numeric) 67.3922346666638 absolute error 1.2590817277668975e-11 relative error 1.8682890306195455e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.850000000000288 y[1] (closed_form) 67.73387500000986 y[1] (numeric) 67.73387499999717 absolute error 1.269029326067539e-11 relative error 1.873551935523184e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.860000000000292 y[1] (closed_form) 68.07668533334335 y[1] (numeric) 68.07668533333054 absolute error 1.2803980098397005e-11 relative error 1.880817204260345e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.870000000000295 y[1] (closed_form) 68.42066766667683 y[1] (numeric) 68.42066766666395 absolute error 1.2889245226688217e-11 relative error 1.883823363063397e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.880000000000298 y[1] (closed_form) 68.76582400001031 y[1] (numeric) 68.76582399999731 absolute error 1.3002932064409833e-11 relative error 1.8909003496283102e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.890000000000302 y[1] (closed_form) 69.1121563333438 y[1] (numeric) 69.11215633333066 absolute error 1.3145040611561853e-11 relative error 1.9019867573166584e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.900000000000305 y[1] (closed_form) 69.45966666667728 y[1] (numeric) 69.45966666666403 absolute error 1.3244516594568267e-11 relative error 1.9067924207189174e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.910000000000308 y[1] (closed_form) 69.80835700001077 y[1] (numeric) 69.8083569999974 absolute error 1.3372414287005085e-11 relative error 1.915589316477255e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.920000000000312 y[1] (closed_form) 70.15822933334427 y[1] (numeric) 70.15822933333075 absolute error 1.3514522834157106e-11 relative error 1.9262918922804153e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.930000000000315 y[1] (closed_form) 70.50928566667774 y[1] (numeric) 70.50928566666413 absolute error 1.361399881716352e-11 relative error 1.930809352050692e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.940000000000318 y[1] (closed_form) 70.86152800001123 y[1] (numeric) 70.8615279999975 absolute error 1.3727685654885136e-11 relative error 1.9372551005226643e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.950000000000322 y[1] (closed_form) 71.21495833334471 y[1] (numeric) 71.21495833333084 absolute error 1.3869794202037156e-11 relative error 1.947595635331988e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.960000000000325 y[1] (closed_form) 71.56957866667821 y[1] (numeric) 71.56957866666421 absolute error 1.3997691894473974e-11 relative error 1.9558158864767917e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.970000000000328 y[1] (closed_form) 71.92539100001171 y[1] (numeric) 71.92539099999756 absolute error 1.4154011296341196e-11 relative error 1.967874084457725e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.980000000000332 y[1] (closed_form) 72.2823973333452 y[1] (numeric) 72.28239733333092 absolute error 1.4281908988778014e-11 relative error 1.9758488256710748e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.990000000000335 y[1] (closed_form) 72.64059966667868 y[1] (numeric) 72.6405996666643 absolute error 1.4381384971784428e-11 relative error 1.9797998691882195e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.000000000000338 y[1] (closed_form) 73.0000000000122 y[1] (numeric) 72.99999999999768 absolute error 1.4509282664221246e-11 relative error 1.9875729677012086e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.010000000000342 y[1] (closed_form) 73.36060033334567 y[1] (numeric) 73.36060033333106 absolute error 1.460875864722766e-11 relative error 1.9913630178660528e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.020000000000345 y[1] (closed_form) 73.72240266667917 y[1] (numeric) 73.72240266666444 absolute error 1.4736656339664478e-11 relative error 1.9989386952421054e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.030000000000348 y[1] (closed_form) 74.08540900001266 y[1] (numeric) 74.08540899999781 absolute error 1.4850343177386094e-11 relative error 2.0044895989416158e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.040000000000352 y[1] (closed_form) 74.44962133334617 y[1] (numeric) 74.44962133333122 absolute error 1.4949819160392508e-11 relative error 2.008045023285625e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.050000000000355 y[1] (closed_form) 74.81504166667968 y[1] (numeric) 74.8150416666646 absolute error 1.5077716852829326e-11 relative error 2.0153322803727688e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.060000000000358 y[1] (closed_form) 75.18167200001317 y[1] (numeric) 75.18167199999797 absolute error 1.5191403690550942e-11 relative error 2.0206259433214364e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.070000000000362 y[1] (closed_form) 75.54951433334666 y[1] (numeric) 75.54951433333135 absolute error 1.531930138298776e-11 relative error 2.0277167256687446e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.080000000000365 y[1] (closed_form) 75.91857066668017 y[1] (numeric) 75.91857066666468 absolute error 1.5489831639570184e-11 relative error 2.0403218215972685e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.0900000000003685 y[1] (closed_form) 76.28884300001367 y[1] (numeric) 76.28884299999805 absolute error 1.5617729332007002e-11 relative error 2.0471839285862815e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.100000000000372 y[1] (closed_form) 76.66033333334717 y[1] (numeric) 76.66033333333141 absolute error 1.5759837879159022e-11 relative error 2.0558008547431543e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.110000000000375 y[1] (closed_form) 77.03304366668068 y[1] (numeric) 77.03304366666478 absolute error 1.5901946426311042e-11 relative error 2.0643019760608468e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.1200000000003785 y[1] (closed_form) 77.40697600001418 y[1] (numeric) 77.40697599999817 absolute error 1.6015633264032658e-11 relative error 2.069016785261024e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.130000000000382 y[1] (closed_form) 77.78213233334769 y[1] (numeric) 77.78213233333156 absolute error 1.6129320101754274e-11 relative error 2.073653629426037e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.140000000000385 y[1] (closed_form) 78.15851466668119 y[1] (numeric) 78.15851466666494 absolute error 1.624300693947589e-11 relative error 2.0782133602137466e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.1500000000003885 y[1] (closed_form) 78.53612500001469 y[1] (numeric) 78.53612499999834 absolute error 1.6356693777197506e-11 relative error 2.0826968197367067e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.160000000000392 y[1] (closed_form) 78.9149653333482 y[1] (numeric) 78.91496533333171 absolute error 1.6498802324349526e-11 relative error 2.0907064020944827e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.170000000000395 y[1] (closed_form) 79.29503766668171 y[1] (numeric) 79.29503766666508 absolute error 1.6626700016786344e-11 relative error 2.0968146943415317e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.1800000000003985 y[1] (closed_form) 79.67634400001522 y[1] (numeric) 79.67634399999847 absolute error 1.6754597709223162e-11 relative error 2.1028321416479604e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.190000000000402 y[1] (closed_form) 80.05888633334872 y[1] (numeric) 80.05888633333186 absolute error 1.686828454694478e-11 relative error 2.106984660854351e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.200000000000405 y[1] (closed_form) 80.44266666668223 y[1] (numeric) 80.44266666666525 absolute error 1.6981971384666394e-11 relative error 2.1110651956668654e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.2100000000004085 y[1] (closed_form) 80.82768700001576 y[1] (numeric) 80.82768699999862 absolute error 1.7138290786533616e-11 relative error 2.120349031703737e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.220000000000412 y[1] (closed_form) 81.21394933334928 y[1] (numeric) 81.21394933333201 absolute error 1.7266188478970435e-11 relative error 2.1260126641668362e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.230000000000415 y[1] (closed_form) 81.60145566668278 y[1] (numeric) 81.60145566666542 absolute error 1.736566446197685e-11 relative error 2.1281071912381473e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.2400000000004185 y[1] (closed_form) 81.9902080000163 y[1] (numeric) 81.99020799999879 absolute error 1.750777300912887e-11 relative error 2.1353492613563548e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.250000000000422 y[1] (closed_form) 82.38020833334981 y[1] (numeric) 82.38020833333219 absolute error 1.7621459846850485e-11 relative error 2.1390404568468205e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.260000000000425 y[1] (closed_form) 82.77145866668333 y[1] (numeric) 82.77145866666557 absolute error 1.7763568394002505e-11 relative error 2.1460982662557076e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.270000000000429 y[1] (closed_form) 83.16396100001684 y[1] (numeric) 83.16396099999895 absolute error 1.7891466086439323e-11 relative error 2.151348477309264e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.280000000000432 y[1] (closed_form) 83.55771733335037 y[1] (numeric) 83.55771733333235 absolute error 1.801936377887614e-11 relative error 2.156516998542285e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.290000000000435 y[1] (closed_form) 83.95272966668388 y[1] (numeric) 83.95272966666573 absolute error 1.814726147131296e-11 relative error 2.1616046962811964e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.300000000000439 y[1] (closed_form) 84.3490000000174 y[1] (numeric) 84.34899999999912 absolute error 1.8275159163749777e-11 relative error 2.166612427384558e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.310000000000442 y[1] (closed_form) 84.74653033335092 y[1] (numeric) 84.74653033333252 absolute error 1.8403056856186595e-11 relative error 2.1715410393556024e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.320000000000445 y[1] (closed_form) 85.14532266668445 y[1] (numeric) 85.1453226666659 absolute error 1.8545165403338615e-11 relative error 2.1780603822404614e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.330000000000449 y[1] (closed_form) 85.54537900001797 y[1] (numeric) 85.54537899999929 absolute error 1.8687273950490635e-11 relative error 2.1844866629776354e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.340000000000452 y[1] (closed_form) 85.9467013333515 y[1] (numeric) 85.94670133333267 absolute error 1.8829382497642655e-11 relative error 2.1908208465862248e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.350000000000455 y[1] (closed_form) 86.34929166668502 y[1] (numeric) 86.34929166666605 absolute error 1.8971491044794675e-11 relative error 2.19706388768377e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.360000000000459 y[1] (closed_form) 86.75315200001855 y[1] (numeric) 86.75315199999946 absolute error 1.908517788251629e-11 relative error 2.1999405719013197e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.370000000000462 y[1] (closed_form) 87.15828433335207 y[1] (numeric) 87.15828433333284 absolute error 1.922728642966831e-11 relative error 2.2060193791940878e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.380000000000465 y[1] (closed_form) 87.56469066668562 y[1] (numeric) 87.56469066666624 absolute error 1.9383605831535533e-11 relative error 2.213632650781477e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.390000000000469 y[1] (closed_form) 87.97237300001912 y[1] (numeric) 87.97237299999964 absolute error 1.9483081814541947e-11 relative error 2.2146818541018227e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.400000000000472 y[1] (closed_form) 88.38133333335266 y[1] (numeric) 88.38133333333303 absolute error 1.9625190361693967e-11 relative error 2.2205130451780553e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.410000000000475 y[1] (closed_form) 88.79157366668619 y[1] (numeric) 88.79157366666644 absolute error 1.9753088054130785e-11 relative error 2.224657953274002e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.420000000000479 y[1] (closed_form) 89.20309600001973 y[1] (numeric) 89.20309599999982 absolute error 1.9909407455998007e-11 relative error 2.231918884967132e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.430000000000482 y[1] (closed_form) 89.61590233335328 y[1] (numeric) 89.61590233333321 absolute error 2.006572685786523e-11 relative error 2.2390810487210995e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.440000000000485 y[1] (closed_form) 90.02999466668679 y[1] (numeric) 90.0299946666666 absolute error 2.0193624550302047e-11 relative error 2.24298853121827e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.450000000000489 y[1] (closed_form) 90.44537500002032 y[1] (numeric) 90.44537499999998 absolute error 2.0335733097454067e-11 relative error 2.2483994452396817e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.460000000000492 y[1] (closed_form) 90.86204533335388 y[1] (numeric) 90.8620453333334 absolute error 2.0477841644606087e-11 relative error 2.2537288886109882e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.470000000000495 y[1] (closed_form) 91.28000766668741 y[1] (numeric) 91.28000766666682 absolute error 2.0591528482327703e-11 relative error 2.2558640176191145e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.480000000000499 y[1] (closed_form) 91.69926400002093 y[1] (numeric) 91.69926400000021 absolute error 2.071942617476452e-11 relative error 2.259497543487349e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.490000000000502 y[1] (closed_form) 92.11981633335448 y[1] (numeric) 92.11981633333362 absolute error 2.086153472191654e-11 relative error 2.264608805387192e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.500000000000505 y[1] (closed_form) 92.54166666668802 y[1] (numeric) 92.54166666666703 absolute error 2.098943241435336e-11 relative error 2.268106159137165e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.510000000000509 y[1] (closed_form) 92.96481700002154 y[1] (numeric) 92.96481700000041 absolute error 2.113154096150538e-11 relative error 2.2730686342877955e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.520000000000512 y[1] (closed_form) 93.3892693333551 y[1] (numeric) 93.38926933333381 absolute error 2.12878603633726e-11 relative error 2.2794760592231538e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.530000000000515 y[1] (closed_form) 93.81502566668864 y[1] (numeric) 93.81502566666722 absolute error 2.141575805580942e-11 relative error 2.282764184481124e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.540000000000519 y[1] (closed_form) 94.24208800002219 y[1] (numeric) 94.24208800000063 absolute error 2.155786660296144e-11 relative error 2.287498829923671e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.550000000000522 y[1] (closed_form) 94.67045833335573 y[1] (numeric) 94.67045833333403 absolute error 2.169997515011346e-11 relative error 2.2921590887099147e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.560000000000525 y[1] (closed_form) 95.10013866668926 y[1] (numeric) 95.10013866666742 absolute error 2.184208369726548e-11 relative error 2.2967457254524604e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.570000000000529 y[1] (closed_form) 95.53113100002281 y[1] (numeric) 95.53113100000081 absolute error 2.1998403099132702e-11 relative error 2.3027470593986213e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.580000000000532 y[1] (closed_form) 95.96343733335637 y[1] (numeric) 95.96343733333421 absolute error 2.2154722500999924e-11 relative error 2.3086628737608862e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.590000000000535 y[1] (closed_form) 96.39705966668993 y[1] (numeric) 96.39705966666762 absolute error 2.2311041902867146e-11 relative error 2.3144940291759484e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.600000000000539 y[1] (closed_form) 96.83200000002347 y[1] (numeric) 96.83200000000105 absolute error 2.2424728740588762e-11 relative error 2.315838642244643e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.610000000000542 y[1] (closed_form) 97.26826033335702 y[1] (numeric) 97.26826033333444 absolute error 2.2581048142455984e-11 relative error 2.3215227726975267e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.6200000000005454 y[1] (closed_form) 97.70584266669057 y[1] (numeric) 97.70584266666785 absolute error 2.2723156689608004e-11 relative error 2.3256702024591083e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.630000000000549 y[1] (closed_form) 98.1447490000241 y[1] (numeric) 98.14474900000126 absolute error 2.2851054382044822e-11 relative error 2.328301270813705e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.640000000000552 y[1] (closed_form) 98.58498133335767 y[1] (numeric) 98.58498133333467 absolute error 2.3007373783912044e-11 relative error 2.3337605254612106e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.6500000000005555 y[1] (closed_form) 99.02654166669123 y[1] (numeric) 99.02654166666808 absolute error 2.3149482331064064e-11 relative error 2.3377048154404722e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.660000000000559 y[1] (closed_form) 99.46943200002478 y[1] (numeric) 99.46943200000146 absolute error 2.3320012587646488e-11 relative error 2.3444401077549814e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.670000000000562 y[1] (closed_form) 99.91365433335834 y[1] (numeric) 99.91365433333488 absolute error 2.3462121134798508e-11 relative error 2.3482397167175948e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.6800000000005655 y[1] (closed_form) 100.35921066669188 y[1] (numeric) 100.35921066666826 absolute error 2.361844053666573e-11 relative error 2.35339042423382e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.690000000000569 y[1] (closed_form) 100.80610300002547 y[1] (numeric) 100.80610300000167 absolute error 2.3803181647963356e-11 relative error 2.361283785363406e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.700000000000572 y[1] (closed_form) 101.25433333335901 y[1] (numeric) 101.2543333333351 absolute error 2.3916868485684972e-11 relative error 2.362058758210734e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.7100000000005755 y[1] (closed_form) 101.70390366669257 y[1] (numeric) 101.70390366666852 absolute error 2.404476617812179e-11 relative error 2.3641930458168156e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.720000000000579 y[1] (closed_form) 102.15481600002614 y[1] (numeric) 102.15481600000193 absolute error 2.4215296434704214e-11 relative error 2.3704507905626315e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.730000000000582 y[1] (closed_form) 102.60707233335968 y[1] (numeric) 102.60707233333532 absolute error 2.4357404981856234e-11 relative error 2.3738524477846483e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.7400000000005855 y[1] (closed_form) 103.06067466669327 y[1] (numeric) 103.06067466666873 absolute error 2.454214609315386e-11 relative error 2.3813298498700096e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.750000000000589 y[1] (closed_form) 103.51562500002683 y[1] (numeric) 103.51562500000215 absolute error 2.468425464030588e-11 relative error 2.3845921463836483e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.760000000000592 y[1] (closed_form) 103.9719253333604 y[1] (numeric) 103.97192533333555 absolute error 2.4854784896888305e-11 relative error 2.390528483260991e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.7700000000005955 y[1] (closed_form) 104.42957766669396 y[1] (numeric) 104.42957766666896 absolute error 2.4996893444040325e-11 relative error 2.393660302239512e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.780000000000599 y[1] (closed_form) 104.88858400002754 y[1] (numeric) 104.88858400000238 absolute error 2.5153212845907547e-11 relative error 2.3980887039051784e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.790000000000602 y[1] (closed_form) 105.3489463333611 y[1] (numeric) 105.34894633333577 absolute error 2.532374310248997e-11 relative error 2.4037965242060176e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.800000000000606 y[1] (closed_form) 105.81066666669467 y[1] (numeric) 105.81066666666919 absolute error 2.5480062504357193e-11 relative error 2.408080707460223e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.810000000000609 y[1] (closed_form) 106.27374700002825 y[1] (numeric) 106.27374700000264 absolute error 2.560796019679401e-11 relative error 2.4096224062549712e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.820000000000612 y[1] (closed_form) 106.7381893333618 y[1] (numeric) 106.73818933333605 absolute error 2.575006874394603e-11 relative error 2.412451335812351e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.830000000000616 y[1] (closed_form) 107.20399566669539 y[1] (numeric) 107.20399566666948 absolute error 2.5906388145813253e-11 relative error 2.4165506131280778e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.840000000000619 y[1] (closed_form) 107.67116800002896 y[1] (numeric) 107.6711680000029 absolute error 2.6062707547680475e-11 relative error 2.420583711664897e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.850000000000622 y[1] (closed_form) 108.13970833336253 y[1] (numeric) 108.13970833333634 absolute error 2.6190605240117293e-11 relative error 2.4219230515565523e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.860000000000626 y[1] (closed_form) 108.60961866669612 y[1] (numeric) 108.60961866666977 absolute error 2.6346924641984515e-11 relative error 2.4258371372096063e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.870000000000629 y[1] (closed_form) 109.08090100002967 y[1] (numeric) 109.0809010000032 absolute error 2.6474822334421333e-11 relative error 2.427081376456006e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.880000000000632 y[1] (closed_form) 109.55355733336326 y[1] (numeric) 109.55355733333661 absolute error 2.6645352591003757e-11 relative error 2.4321759365534748e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.890000000000636 y[1] (closed_form) 110.02758966669684 y[1] (numeric) 110.02758966667004 absolute error 2.680167199287098e-11 relative error 2.435904673915011e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.900000000000639 y[1] (closed_form) 110.50300000003041 y[1] (numeric) 110.50300000000348 absolute error 2.6929569685307797e-11 relative error 2.4369989670235547e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.910000000000642 y[1] (closed_form) 110.97979033336401 y[1] (numeric) 110.9797903333369 absolute error 2.7114310796605423e-11 relative error 2.4431755290903636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.920000000000646 y[1] (closed_form) 111.45796266669758 y[1] (numeric) 111.45796266667033 absolute error 2.7256419343757443e-11 relative error 2.4454438867920705e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.930000000000649 y[1] (closed_form) 111.93751900003117 y[1] (numeric) 111.93751900000375 absolute error 2.7426949600339867e-11 relative error 2.4502016701238687e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.940000000000652 y[1] (closed_form) 112.41846133336475 y[1] (numeric) 112.41846133333719 absolute error 2.7554847292776685e-11 relative error 2.4510962848945047e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.950000000000656 y[1] (closed_form) 112.90079166669834 y[1] (numeric) 112.9007916666706 absolute error 2.773958840407431e-11 relative error 2.4569879444216943e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.960000000000659 y[1] (closed_form) 113.38451200003192 y[1] (numeric) 113.38451200000404 absolute error 2.788169695122633e-11 relative error 2.4590392867077368e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.970000000000662 y[1] (closed_form) 113.8696243333655 y[1] (numeric) 113.86962433333746 absolute error 2.8038016353093553e-11 relative error 2.4622911085584392e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.980000000000666 y[1] (closed_form) 114.35613066669909 y[1] (numeric) 114.3561306666709 absolute error 2.8194335754960775e-11 relative error 2.465485286235823e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.990000000000669 y[1] (closed_form) 114.8440330000327 y[1] (numeric) 114.84403300000432 absolute error 2.83790768662584e-11 relative error 2.4710972024336975e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.000000000000672 y[1] (closed_form) 115.33333333336628 y[1] (numeric) 115.33333333333775 absolute error 2.8535396268125623e-11 relative error 2.4741673064841738e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.010000000000676 y[1] (closed_form) 115.82403366669986 y[1] (numeric) 115.82403366667118 absolute error 2.8677504815277644e-11 relative error 2.475954593137487e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.020000000000679 y[1] (closed_form) 116.31613600003347 y[1] (numeric) 116.31613600000462 absolute error 2.8848035071860068e-11 relative error 2.4801404228087293e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.030000000000682 y[1] (closed_form) 116.80964233336705 y[1] (numeric) 116.80964233333806 absolute error 2.8990143619012088e-11 relative error 2.4818279587121858e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.040000000000686 y[1] (closed_form) 117.30455466670065 y[1] (numeric) 117.30455466667148 absolute error 2.9174884730309714e-11 relative error 2.4871058769375826e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.050000000000689 y[1] (closed_form) 117.80087500003424 y[1] (numeric) 117.80087500000491 absolute error 2.9331204132176936e-11 relative error 2.489896966569086e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.060000000000692 y[1] (closed_form) 118.29860533336785 y[1] (numeric) 118.29860533333834 absolute error 2.950173438875936e-11 relative error 2.4938361957542e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.070000000000696 y[1] (closed_form) 118.79774766670145 y[1] (numeric) 118.79774766667181 absolute error 2.964384293591138e-11 relative error 2.4953202832666528e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.080000000000699 y[1] (closed_form) 119.29830400003505 y[1] (numeric) 119.29830400000523 absolute error 2.9814373192493804e-11 relative error 2.4991447650827497e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.090000000000702 y[1] (closed_form) 119.80027633336864 y[1] (numeric) 119.80027633333869 absolute error 2.9956481739645824e-11 relative error 2.500535278924217e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.100000000000706 y[1] (closed_form) 120.30366666670226 y[1] (numeric) 120.3036666666721 absolute error 3.015543370565865e-11 relative error 2.5066096937180967e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.110000000000709 y[1] (closed_form) 120.80847700003585 y[1] (numeric) 120.80847700000557 absolute error 3.028333139809547e-11 relative error 2.5067223882051325e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.120000000000712 y[1] (closed_form) 121.31470933336946 y[1] (numeric) 121.314709333339 absolute error 3.0468072509393096e-11 relative error 2.511490377120525e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.130000000000716 y[1] (closed_form) 121.82236566670305 y[1] (numeric) 121.82236566667241 absolute error 3.063860276597552e-11 relative error 2.5150228037600636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.140000000000719 y[1] (closed_form) 122.33144800003667 y[1] (numeric) 122.33144800000585 absolute error 3.0823343877273146e-11 relative error 2.5196582220839816e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.1500000000007224 y[1] (closed_form) 122.84195833337027 y[1] (numeric) 122.84195833333928 absolute error 3.099387413385557e-11 relative error 2.5230690355606306e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.160000000000726 y[1] (closed_form) 123.35389866670387 y[1] (numeric) 123.3538986666727 absolute error 3.1164404390437994e-11 relative error 2.5264223285429085e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.170000000000729 y[1] (closed_form) 123.86727100003748 y[1] (numeric) 123.86727100000614 absolute error 3.133493464702042e-11 relative error 2.52971865724005e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.1800000000007325 y[1] (closed_form) 124.38207733337107 y[1] (numeric) 124.38207733333957 absolute error 3.150546490360284e-11 relative error 2.532958572412433e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.190000000000736 y[1] (closed_form) 124.89831966670471 y[1] (numeric) 124.898319666673 absolute error 3.170441686961567e-11 relative error 2.538418207244097e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.200000000000739 y[1] (closed_form) 125.41600000003831 y[1] (numeric) 125.41600000000643 absolute error 3.1874947126198094e-11 relative error 2.5415375331846302e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.2100000000007425 y[1] (closed_form) 125.93512033337193 y[1] (numeric) 125.93512033333988 absolute error 3.204547738278052e-11 relative error 2.5446021171815e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.220000000000746 y[1] (closed_form) 126.45568266670556 y[1] (numeric) 126.45568266667334 absolute error 3.221600763936294e-11 relative error 2.547612488422007e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.230000000000749 y[1] (closed_form) 126.97768900003916 y[1] (numeric) 126.97768900000678 absolute error 3.2386537895945366e-11 relative error 2.5505691709301292e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.2400000000007525 y[1] (closed_form) 127.50114133337276 y[1] (numeric) 127.50114133334019 absolute error 3.257127900724299e-11 relative error 2.5545872504842926e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.250000000000756 y[1] (closed_form) 128.02604166670636 y[1] (numeric) 128.02604166667365 absolute error 3.271338755439501e-11 relative error 2.5552135431601217e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.260000000000759 y[1] (closed_form) 128.55239200004002 y[1] (numeric) 128.55239200000705 absolute error 3.296918293926865e-11 relative error 2.56464951187049e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.2700000000007625 y[1] (closed_form) 129.08019433337364 y[1] (numeric) 129.0801943333405 absolute error 3.313971319585107e-11 relative error 2.5673739776267762e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.280000000000766 y[1] (closed_form) 129.60945066670726 y[1] (numeric) 129.6094506666739 absolute error 3.3367086871294305e-11 relative error 2.574433168233873e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.290000000000769 y[1] (closed_form) 130.14016300004087 y[1] (numeric) 130.1401630000073 absolute error 3.356603883730713e-11 relative error 2.5792221297046162e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.3000000000007725 y[1] (closed_form) 130.6723333333745 y[1] (numeric) 130.67233333334073 absolute error 3.376499080331996e-11 relative error 2.5839433598524546e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.310000000000776 y[1] (closed_form) 131.20596366670813 y[1] (numeric) 131.2059636666742 absolute error 3.3935521059902385e-11 relative error 2.586431295615955e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.320000000000779 y[1] (closed_form) 131.74105600004177 y[1] (numeric) 131.74105600000766 absolute error 3.410605131648481e-11 relative error 2.588870345511273e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.330000000000783 y[1] (closed_form) 132.27761233337537 y[1] (numeric) 132.27761233334112 absolute error 3.424815986363683e-11 relative error 2.589112341801438e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.340000000000786 y[1] (closed_form) 132.815634666709 y[1] (numeric) 132.81563466667455 absolute error 3.444711182964966e-11 relative error 2.5936036759596967e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.350000000000789 y[1] (closed_form) 133.35512500004265 y[1] (numeric) 133.35512500000803 absolute error 3.461764208623208e-11 relative error 2.5958988892418652e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.360000000000793 y[1] (closed_form) 133.89608533337628 y[1] (numeric) 133.8960853333415 absolute error 3.4788172342814505e-11 relative error 2.5981470822091958e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.370000000000796 y[1] (closed_form) 134.4385176667099 y[1] (numeric) 134.4385176666749 absolute error 3.501554601825774e-11 relative error 2.6045769193220134e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.380000000000799 y[1] (closed_form) 134.98242400004355 y[1] (numeric) 134.9824240000084 absolute error 3.515765456540976e-11 relative error 2.6046098094518154e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.390000000000803 y[1] (closed_form) 135.52780633337719 y[1] (numeric) 135.52780633334186 absolute error 3.532818482199218e-11 relative error 2.6067111818434053e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.400000000000806 y[1] (closed_form) 136.07466666671078 y[1] (numeric) 136.0746666666753 absolute error 3.54702933691442e-11 relative error 2.606678688842354e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.410000000000809 y[1] (closed_form) 136.62300700004442 y[1] (numeric) 136.6230070000088 absolute error 3.561240191629622e-11 relative error 2.60661821886885e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.420000000000813 y[1] (closed_form) 137.17282933337808 y[1] (numeric) 137.17282933334224 absolute error 3.5839775591739453e-11 relative error 2.612745961857813e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.430000000000816 y[1] (closed_form) 137.7241356667117 y[1] (numeric) 137.7241356666757 absolute error 3.601030584832188e-11 relative error 2.6146692207577722e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.440000000000819 y[1] (closed_form) 138.27692800004536 y[1] (numeric) 138.27692800000915 absolute error 3.6209257814334705e-11 relative error 2.618604443853629e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.450000000000823 y[1] (closed_form) 138.83120833337898 y[1] (numeric) 138.83120833334263 absolute error 3.6351366361486726e-11 relative error 2.618385793646285e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.460000000000826 y[1] (closed_form) 139.38697866671262 y[1] (numeric) 139.3869786666761 absolute error 3.652189661806915e-11 relative error 2.6201799456028415e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.470000000000829 y[1] (closed_form) 139.94424100004628 y[1] (numeric) 139.94424100000953 absolute error 3.674927029351238e-11 relative error 2.6259937551485403e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.480000000000833 y[1] (closed_form) 140.5029973333799 y[1] (numeric) 140.502997333343 absolute error 3.6919800550094806e-11 relative error 2.6276877540550238e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.490000000000836 y[1] (closed_form) 141.06324966671357 y[1] (numeric) 141.06324966667646 absolute error 3.7118752516107634e-11 relative error 2.631355268208207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.500000000000839 y[1] (closed_form) 141.6250000000472 y[1] (numeric) 141.6250000000099 absolute error 3.731770448212046e-11 relative error 2.6349658945883865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.510000000000843 y[1] (closed_form) 142.18825033338086 y[1] (numeric) 142.18825033334335 absolute error 3.751665644813329e-11 relative error 2.6385201562133353e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.520000000000846 y[1] (closed_form) 142.7530026667145 y[1] (numeric) 142.75300266667682 absolute error 3.7687186704715714e-11 relative error 2.640027600169224e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.530000000000849 y[1] (closed_form) 143.31925900004816 y[1] (numeric) 143.31925900001025 absolute error 3.7914560380158946e-11 relative error 2.6454616528645467e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.540000000000853 y[1] (closed_form) 143.8870213333818 y[1] (numeric) 143.8870213333437 absolute error 3.808509063674137e-11 relative error 2.6468746300960244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.550000000000856 y[1] (closed_form) 144.45629166671546 y[1] (numeric) 144.45629166667715 absolute error 3.83124643121846e-11 relative error 2.6521838453791814e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.560000000000859 y[1] (closed_form) 145.02707200004912 y[1] (numeric) 145.0270720000106 absolute error 3.851141627819743e-11 relative error 2.655463959045135e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.570000000000863 y[1] (closed_form) 145.59936433338277 y[1] (numeric) 145.59936433334406 absolute error 3.871036824421026e-11 relative error 2.6586907450759257e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.580000000000866 y[1] (closed_form) 146.1731706667164 y[1] (numeric) 146.17317066667755 absolute error 3.885247679136228e-11 relative error 2.657975920899209e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.590000000000869 y[1] (closed_form) 146.74849300005008 y[1] (numeric) 146.74849300001105 absolute error 3.90230070479447e-11 relative error 2.6591759990292635e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.600000000000873 y[1] (closed_form) 147.32533333338372 y[1] (numeric) 147.3253333333445 absolute error 3.922195901395753e-11 relative error 2.6622684725377022e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.610000000000876 y[1] (closed_form) 147.9036936667174 y[1] (numeric) 147.90369366667795 absolute error 3.944933268940076e-11 relative error 2.6672310685015707e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.620000000000879 y[1] (closed_form) 148.48357600005104 y[1] (numeric) 148.48357600001142 absolute error 3.9619862945983186e-11 relative error 2.668299350897204e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.630000000000883 y[1] (closed_form) 149.06498233338473 y[1] (numeric) 149.06498233334491 absolute error 3.9818814911996014e-11 relative error 2.67123869662031e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.640000000000886 y[1] (closed_form) 149.64791466671838 y[1] (numeric) 149.6479146666784 absolute error 3.998934516857844e-11 relative error 2.6722286947759287e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.650000000000889 y[1] (closed_form) 150.23237500005206 y[1] (numeric) 150.23237500001187 absolute error 4.0188297134591267e-11 relative error 2.6750756709116353e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.660000000000893 y[1] (closed_form) 150.8183653333857 y[1] (numeric) 150.81836533334533 absolute error 4.0387249100604095e-11 relative error 2.6778734149072376e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.670000000000896 y[1] (closed_form) 151.4058876667194 y[1] (numeric) 151.40588766667872 absolute error 4.0671466194908135e-11 relative error 2.6862539377884545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.680000000000899 y[1] (closed_form) 151.99494400005307 y[1] (numeric) 151.9949440000122 absolute error 4.087041816092096e-11 relative error 2.6889327424540316e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.690000000000903 y[1] (closed_form) 152.58553633338673 y[1] (numeric) 152.5855363333457 absolute error 4.1040948417503387e-11 relative error 2.689701095117713e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.700000000000906 y[1] (closed_form) 153.1776666667204 y[1] (numeric) 153.17766666667913 absolute error 4.126832209294662e-11 relative error 2.6941474557604445e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.7100000000009095 y[1] (closed_form) 153.77133700005405 y[1] (numeric) 153.77133700001266 absolute error 4.1382008930668235e-11 relative error 2.6911393071033576e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.720000000000913 y[1] (closed_form) 154.36654933338772 y[1] (numeric) 154.36654933334611 absolute error 4.160938260611147e-11 relative error 2.695492176627403e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.730000000000916 y[1] (closed_form) 154.96330566672142 y[1] (numeric) 154.9633056666796 absolute error 4.18367562815547e-11 relative error 2.6997847071959564e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.7400000000009195 y[1] (closed_form) 155.5616080000551 y[1] (numeric) 155.56160800001308 absolute error 4.200728653813712e-11 relative error 2.7003633530274543e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.750000000000923 y[1] (closed_form) 156.16145833338877 y[1] (numeric) 156.1614583333466 absolute error 4.217781679471955e-11 relative error 2.7009107909759792e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.760000000000926 y[1] (closed_form) 156.76285866672242 y[1] (numeric) 156.7628586666801 absolute error 4.231992534187157e-11 relative error 2.6996142901325664e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.7700000000009295 y[1] (closed_form) 157.36581100005614 y[1] (numeric) 157.36581100001354 absolute error 4.260414243617561e-11 relative error 2.7073315458692873e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.780000000000933 y[1] (closed_form) 157.9703173333898 y[1] (numeric) 157.970317333347 absolute error 4.2803094402188435e-11 relative error 2.7095656402243138e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.790000000000936 y[1] (closed_form) 158.57637966672348 y[1] (numeric) 158.5763796666805 absolute error 4.297362465877086e-11 relative error 2.7099637883704742e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.8000000000009395 y[1] (closed_form) 159.18400000005715 y[1] (numeric) 159.184000000014 absolute error 4.3144154915353283e-11 relative error 2.7103323773330106e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.810000000000943 y[1] (closed_form) 159.79318033339084 y[1] (numeric) 159.7931803333475 absolute error 4.334310688136611e-11 relative error 2.712450355574343e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.820000000000946 y[1] (closed_form) 160.40392266672453 y[1] (numeric) 160.40392266668098 absolute error 4.354205884737894e-11 relative error 2.7145258123049414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.8300000000009495 y[1] (closed_form) 161.01622900005822 y[1] (numeric) 161.01622900001448 absolute error 4.374101081339177e-11 relative error 2.7165591372392627e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.840000000000953 y[1] (closed_form) 161.63010133339188 y[1] (numeric) 161.63010133334794 absolute error 4.3939962779404595e-11 relative error 2.7185507165382717e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.850000000000956 y[1] (closed_form) 162.2455416667256 y[1] (numeric) 162.24554166668142 absolute error 4.416733645484783e-11 relative error 2.7222527042113457e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.8600000000009596 y[1] (closed_form) 162.86255200005928 y[1] (numeric) 162.8625520000149 absolute error 4.439471013029106e-11 relative error 2.7259004347589308e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.870000000000963 y[1] (closed_form) 163.481134333393 y[1] (numeric) 163.48113433334836 absolute error 4.462208380573429e-11 relative error 2.7294943840268972e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.880000000000966 y[1] (closed_form) 164.10129066672667 y[1] (numeric) 164.1012906666818 absolute error 4.487787919060793e-11 relative error 2.734766984968474e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.89000000000097 y[1] (closed_form) 164.72302300006035 y[1] (numeric) 164.72302300001522 absolute error 4.5133674575481564e-11 relative error 2.7399736693434183e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.900000000000973 y[1] (closed_form) 165.34633333339406 y[1] (numeric) 165.34633333334872 absolute error 4.533262654149439e-11 relative error 2.7416771589418016e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.910000000000976 y[1] (closed_form) 165.97122366672775 y[1] (numeric) 165.97122366668222 absolute error 4.553157850750722e-11 relative error 2.743341737296291e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.92000000000098 y[1] (closed_form) 166.59769600006146 y[1] (numeric) 166.59769600001567 absolute error 4.5787373892380856e-11 relative error 2.7483797790555258e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.930000000000983 y[1] (closed_form) 167.22575233339515 y[1] (numeric) 167.2257523333492 absolute error 4.595790414896328e-11 relative error 2.748255188431611e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.940000000000986 y[1] (closed_form) 167.85539466672887 y[1] (numeric) 167.85539466668266 absolute error 4.6213699533836916e-11 relative error 2.7531852417131205e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.95000000000099 y[1] (closed_form) 168.48662500006253 y[1] (numeric) 168.48662500001618 absolute error 4.6355808080988936e-11 relative error 2.7513049229261808e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.960000000000993 y[1] (closed_form) 169.11944533339624 y[1] (numeric) 169.11944533334966 absolute error 4.658318175643217e-11 relative error 2.7544545019409027e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.970000000000996 y[1] (closed_form) 169.75385766672994 y[1] (numeric) 169.7538576666832 absolute error 4.675371201301459e-11 relative error 2.7542061580010767e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.980000000001 y[1] (closed_form) 170.38986400006368 y[1] (numeric) 170.38986400001667 absolute error 4.700950739788823e-11 relative error 2.758938019803259e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.990000000001003 y[1] (closed_form) 171.02746633339737 y[1] (numeric) 171.02746633335016 absolute error 4.7208459363901056e-11 relative error 2.7602852556953556e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.000000000001005 y[1] (closed_form) 171.666666666731 y[1] (numeric) 171.66666666668365 absolute error 4.7350567911053076e-11 relative error 2.758285509380699e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.010000000001 y[1] (closed_form) 172.30746700006412 y[1] (numeric) 172.30746700001717 absolute error 4.695266397902742e-11 relative error 2.7249349547347213e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.020000000000994 y[1] (closed_form) 172.9498693333973 y[1] (numeric) 172.94986933335068 absolute error 4.661160346586257e-11 relative error 2.6950933033669366e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.030000000000989 y[1] (closed_form) 173.59387566673044 y[1] (numeric) 173.59387566668417 absolute error 4.6270542952697724e-11 relative error 2.66544788950556e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.040000000000983 y[1] (closed_form) 174.23948800006357 y[1] (numeric) 174.23948800001764 absolute error 4.5929482439532876e-11 relative error 2.6359973256760326e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.050000000000978 y[1] (closed_form) 174.88670833339668 y[1] (numeric) 174.88670833335115 absolute error 4.553157850750722e-11 relative error 2.603489935936568e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.060000000000972 y[1] (closed_form) 175.53553866672982 y[1] (numeric) 175.53553866668466 absolute error 4.516209628491197e-11 relative error 2.5728178252642226e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.070000000000967 y[1] (closed_form) 176.18598100006295 y[1] (numeric) 176.18598100001813 absolute error 4.482103577174712e-11 relative error 2.5439615295913417e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.080000000000961 y[1] (closed_form) 176.83803733339607 y[1] (numeric) 176.83803733335162 absolute error 4.445155354915187e-11 relative error 2.5136873389601423e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.090000000000956 y[1] (closed_form) 177.4917096667292 y[1] (numeric) 177.49170966668513 absolute error 4.4082071326556616e-11 relative error 2.4836129760273414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.10000000000095 y[1] (closed_form) 178.14700000006232 y[1] (numeric) 178.14700000001864 absolute error 4.368416739453096e-11 relative error 2.4521416243055274e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.110000000000944 y[1] (closed_form) 178.80391033339546 y[1] (numeric) 178.80391033335215 absolute error 4.331468517193571e-11 relative error 2.4224685629733545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.120000000000939 y[1] (closed_form) 179.46244266672855 y[1] (numeric) 179.4624426666856 absolute error 4.2945202949340455e-11 relative error 2.3929911078437743e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.130000000000933 y[1] (closed_form) 180.12259900006168 y[1] (numeric) 180.1225990000191 absolute error 4.25757207267452e-11 relative error 2.363707883580484e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.140000000000928 y[1] (closed_form) 180.78438133339478 y[1] (numeric) 180.7843813333526 absolute error 4.217781679471955e-11 relative error 2.3330453927287576e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.150000000000922 y[1] (closed_form) 181.4477916667279 y[1] (numeric) 181.4477916666861 absolute error 4.1808334572124295e-11 relative error 2.3041522957146405e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.160000000000917 y[1] (closed_form) 182.11283200006105 y[1] (numeric) 182.1128320000196 absolute error 4.143885234952904e-11 relative error 2.2754493406326883e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.170000000000911 y[1] (closed_form) 182.77950433339413 y[1] (numeric) 182.7795043333531 absolute error 4.1040948417503387e-11 relative error 2.245380222863704e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.180000000000906 y[1] (closed_form) 183.44781066672726 y[1] (numeric) 183.4478106666866 absolute error 4.0671466194908135e-11 relative error 2.21705923047491e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.1900000000009 y[1] (closed_form) 184.1177530000604 y[1] (numeric) 184.1177530000201 absolute error 4.030198397231288e-11 relative error 2.188924387552115e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.200000000000895 y[1] (closed_form) 184.7893333333935 y[1] (numeric) 184.78933333335357 absolute error 3.993250174971763e-11 relative error 2.1609743933472692e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.210000000000889 y[1] (closed_form) 185.46255366672656 y[1] (numeric) 185.46255366668706 absolute error 3.950617610826157e-11 relative error 2.1301430033824283e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.220000000000883 y[1] (closed_form) 186.1374160000597 y[1] (numeric) 186.13741600002055 absolute error 3.913669388566632e-11 relative error 2.1025699575443644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.230000000000878 y[1] (closed_form) 186.8139223333928 y[1] (numeric) 186.81392233335401 absolute error 3.879563337250147e-11 relative error 2.076699257096364e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.240000000000872 y[1] (closed_form) 187.4920746667259 y[1] (numeric) 187.4920746666875 absolute error 3.8397729440475814e-11 relative error 2.0479654678059966e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.250000000000867 y[1] (closed_form) 188.171875000059 y[1] (numeric) 188.17187500002098 absolute error 3.802824721788056e-11 relative error 2.0209315136955847e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.260000000000861 y[1] (closed_form) 188.85332533339212 y[1] (numeric) 188.85332533335446 absolute error 3.765876499528531e-11 relative error 1.994074762983624e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.270000000000856 y[1] (closed_form) 189.5364276667252 y[1] (numeric) 189.53642766668793 absolute error 3.7260861063259654e-11 relative error 1.9658944468858496e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.28000000000085 y[1] (closed_form) 190.2211840000583 y[1] (numeric) 190.22118400002142 absolute error 3.6862957131234e-11 relative error 1.9378996784723358e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.290000000000845 y[1] (closed_form) 190.9075963333914 y[1] (numeric) 190.9075963333549 absolute error 3.652189661806915e-11 relative error 1.913066704495569e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.30000000000084 y[1] (closed_form) 191.59566666672447 y[1] (numeric) 191.59566666668835 absolute error 3.6123992686043493e-11 relative error 1.8854284814739683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.310000000000834 y[1] (closed_form) 192.28539700005754 y[1] (numeric) 192.28539700002182 absolute error 3.572608875401784e-11 relative error 1.8579720203093292e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.320000000000828 y[1] (closed_form) 192.97678933339066 y[1] (numeric) 192.9767893333553 absolute error 3.5356606531422585e-11 relative error 1.8321688661914563e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.330000000000823 y[1] (closed_form) 193.66984566672375 y[1] (numeric) 193.66984566668876 absolute error 3.498712430882733e-11 relative error 1.8065344240029415e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.340000000000817 y[1] (closed_form) 194.3645680000568 y[1] (numeric) 194.36456800002222 absolute error 3.458922037680168e-11 relative error 1.7796052404361874e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.350000000000811 y[1] (closed_form) 195.0609583333899 y[1] (numeric) 195.0609583333557 absolute error 3.419131644477602e-11 relative error 1.752852889522755e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.360000000000806 y[1] (closed_form) 195.759018666723 y[1] (numeric) 195.75901866668917 absolute error 3.382183422218077e-11 relative error 1.727728022572588e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.3700000000008 y[1] (closed_form) 196.45875100005608 y[1] (numeric) 196.45875100002263 absolute error 3.3452351999585517e-11 relative error 1.702767213437897e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.380000000000795 y[1] (closed_form) 197.16015733338915 y[1] (numeric) 197.1601573333561 absolute error 3.305444806755986e-11 relative error 1.6765277789703852e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.39000000000079 y[1] (closed_form) 197.86323966672225 y[1] (numeric) 197.8632396666896 absolute error 3.2656544135534205e-11 relative error 1.6504603983307046e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.400000000000784 y[1] (closed_form) 198.56800000005526 y[1] (numeric) 198.56800000002306 absolute error 3.220179678464774e-11 relative error 1.621701219966902e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.410000000000778 y[1] (closed_form) 199.27444033338836 y[1] (numeric) 199.27444033335655 absolute error 3.1803892852622084e-11 relative error 1.5959845527310887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.420000000000773 y[1] (closed_form) 199.98256266672146 y[1] (numeric) 199.98256266669003 absolute error 3.143441063002683e-11 relative error 1.5718575765234827e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.430000000000767 y[1] (closed_form) 200.69236900005447 y[1] (numeric) 200.69236900002352 absolute error 3.0951241569709964e-11 relative error 1.5422231410154694e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.440000000000762 y[1] (closed_form) 201.40386133338757 y[1] (numeric) 201.40386133335699 absolute error 3.058175934711471e-11 relative error 1.518429644032105e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.450000000000756 y[1] (closed_form) 202.11704166672064 y[1] (numeric) 202.11704166669045 absolute error 3.0183855415089056e-11 relative error 1.493384979622871e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.46000000000075 y[1] (closed_form) 202.83191200005368 y[1] (numeric) 202.83191200002392 absolute error 2.9757529773632996e-11 relative error 1.4671029563447156e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.470000000000745 y[1] (closed_form) 203.5484743333868 y[1] (numeric) 203.54847433335738 absolute error 2.941646926046815e-11 relative error 1.445182498017041e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.48000000000074 y[1] (closed_form) 204.26673066671984 y[1] (numeric) 204.26673066669085 absolute error 2.8990143619012088e-11 relative error 1.4192298238870922e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.490000000000734 y[1] (closed_form) 204.98668300005292 y[1] (numeric) 204.98668300002433 absolute error 2.859223968698643e-11 relative error 1.3948340091428792e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.500000000000728 y[1] (closed_form) 205.70833333338592 y[1] (numeric) 205.70833333335779 absolute error 2.8137492336099967e-11 relative error 1.367834344877915e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.510000000000723 y[1] (closed_form) 206.43168366671898 y[1] (numeric) 206.43168366669124 absolute error 2.773958840407431e-11 relative error 1.3437660300663673e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.520000000000717 y[1] (closed_form) 207.15673600005206 y[1] (numeric) 207.15673600002472 absolute error 2.7341684472048655e-11 relative error 1.3198549562029103e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.530000000000712 y[1] (closed_form) 207.8834923333851 y[1] (numeric) 207.8834923333582 absolute error 2.6915358830592595e-11 relative error 1.2947328587028031e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.540000000000706 y[1] (closed_form) 208.61195466671813 y[1] (numeric) 208.61195466669164 absolute error 2.6489033189136535e-11 relative error 1.2697754177825449e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.5500000000007 y[1] (closed_form) 209.34212500005125 y[1] (numeric) 209.3421250000251 absolute error 2.6147972675971687e-11 relative error 1.2490545166657348e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.560000000000695 y[1] (closed_form) 210.07400533338424 y[1] (numeric) 210.07400533335857 absolute error 2.566480361565482e-11 relative error 1.2217029696237366e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.57000000000069 y[1] (closed_form) 210.80759766671727 y[1] (numeric) 210.80759766669203 absolute error 2.523847797419876e-11 relative error 1.1972281005782487e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.580000000000684 y[1] (closed_form) 211.54290400005036 y[1] (numeric) 211.5429040000255 absolute error 2.4868995751603507e-11 relative error 1.1756005652450335e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.590000000000678 y[1] (closed_form) 212.2799263333834 y[1] (numeric) 212.2799263333589 absolute error 2.4499513529008254e-11 relative error 1.1541135307599469e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.600000000000673 y[1] (closed_form) 213.01866666671643 y[1] (numeric) 213.01866666669235 absolute error 2.4073187887552194e-11 relative error 1.130097576153572e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.610000000000667 y[1] (closed_form) 213.75912700004946 y[1] (numeric) 213.75912700002584 absolute error 2.361844053666573e-11 relative error 1.1049091034442832e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.620000000000662 y[1] (closed_form) 214.50130933338252 y[1] (numeric) 214.50130933335933 absolute error 2.319211489520967e-11 relative error 1.081210877793011e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.630000000000656 y[1] (closed_form) 215.24521566671555 y[1] (numeric) 215.2452156666928 absolute error 2.276578925375361e-11 relative error 1.0576676086963079e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.64000000000065 y[1] (closed_form) 215.99084800004857 y[1] (numeric) 215.99084800002623 absolute error 2.233946361229755e-11 relative error 1.034278249247511e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.650000000000645 y[1] (closed_form) 216.7382083333816 y[1] (numeric) 216.73820833335967 absolute error 2.1941559680271894e-11 relative error 1.0123530986526337e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.66000000000064 y[1] (closed_form) 217.48729866671465 y[1] (numeric) 217.48729866669316 absolute error 2.148681232938543e-11 relative error 9.879571111098581e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.670000000000634 y[1] (closed_form) 218.23812100004764 y[1] (numeric) 218.23812100002658 absolute error 2.106048668792937e-11 relative error 9.650232778500129e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.680000000000629 y[1] (closed_form) 218.99067733338072 y[1] (numeric) 218.99067733336 absolute error 2.071942617476452e-11 relative error 9.461327955629033e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.690000000000623 y[1] (closed_form) 219.7449696667137 y[1] (numeric) 219.7449696666934 absolute error 2.029310053330846e-11 relative error 9.234841900630045e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.700000000000617 y[1] (closed_form) 220.50100000004673 y[1] (numeric) 220.5010000000268 absolute error 1.992361831071321e-11 relative error 9.035613584840425e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.710000000000612 y[1] (closed_form) 221.25877033337977 y[1] (numeric) 221.25877033336022 absolute error 1.9554136088117957e-11 relative error 8.837677285585078e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.720000000000606 y[1] (closed_form) 222.01828266671274 y[1] (numeric) 222.01828266669366 absolute error 1.907096702780109e-11 relative error 8.589818279258496e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.7300000000006 y[1] (closed_form) 222.7795390000458 y[1] (numeric) 222.77953900002714 absolute error 1.864464138634503e-11 relative error 8.369099545690862e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.740000000000595 y[1] (closed_form) 223.5425413333788 y[1] (numeric) 223.54254133336053 absolute error 1.8275159163749777e-11 relative error 8.175248905529454e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.75000000000059 y[1] (closed_form) 224.3072916667118 y[1] (numeric) 224.30729166669394 absolute error 1.7848833522293717e-11 relative error 7.95731310813315e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.760000000000584 y[1] (closed_form) 225.07379200004482 y[1] (numeric) 225.07379200002737 absolute error 1.745092959026806e-11 relative error 7.753425858779945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.770000000000579 y[1] (closed_form) 225.84204433337786 y[1] (numeric) 225.8420443333608 absolute error 1.7053025658242404e-11 relative error 7.55086401585592e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.780000000000573 y[1] (closed_form) 226.61205066671084 y[1] (numeric) 226.61205066669424 absolute error 1.659827830735594e-11 relative error 7.324534709660176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.790000000000568 y[1] (closed_form) 227.38381300004383 y[1] (numeric) 227.3838130000277 absolute error 1.6143530956469476e-11 relative error 7.099683457443985e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.800000000000562 y[1] (closed_form) 228.15733333337684 y[1] (numeric) 228.15733333336112 absolute error 1.5717205315013416e-11 relative error 6.888757457577703e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.810000000000556 y[1] (closed_form) 228.93261366670984 y[1] (numeric) 228.93261366669455 absolute error 1.5290879673557356e-11 relative error 6.679205478262914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.820000000000551 y[1] (closed_form) 229.70965600004286 y[1] (numeric) 229.70965600002802 absolute error 1.4836132322670892e-11 relative error 6.458645483613507e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.830000000000545 y[1] (closed_form) 230.48846233337585 y[1] (numeric) 230.4884623333615 absolute error 1.4352963262354024e-11 relative error 6.227193811373544e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.84000000000054 y[1] (closed_form) 231.26903466670888 y[1] (numeric) 231.26903466669492 absolute error 1.3955059330328368e-11 relative error 6.034123569737542e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.850000000000534 y[1] (closed_form) 232.05137500004184 y[1] (numeric) 232.05137500002837 absolute error 1.34718902700115e-11 relative error 5.805563647278138e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.860000000000529 y[1] (closed_form) 232.8354853333748 y[1] (numeric) 232.8354853333618 absolute error 1.3017142919125035e-11 relative error 5.590704054619096e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.870000000000523 y[1] (closed_form) 233.6213676667078 y[1] (numeric) 233.62136766669525 absolute error 1.2562395568238571e-11 relative error 5.377245965857246e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.880000000000518 y[1] (closed_form) 234.40902400004083 y[1] (numeric) 234.4090240000287 absolute error 1.2136069926782511e-11 relative error 5.177304917570237e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.890000000000512 y[1] (closed_form) 235.1984563333738 y[1] (numeric) 235.19845633336212 absolute error 1.1681322575896047e-11 relative error 4.966581310949918e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.900000000000507 y[1] (closed_form) 235.98966666670677 y[1] (numeric) 235.98966666669554 absolute error 1.1226575225009583e-11 relative error 4.757231697295083e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.910000000000501 y[1] (closed_form) 236.7826570000398 y[1] (numeric) 236.78265700002896 absolute error 1.0828671292983927e-11 relative error 4.573253560957426e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.920000000000496 y[1] (closed_form) 237.57742933337275 y[1] (numeric) 237.57742933336237 absolute error 1.0373923942097463e-11 relative error 4.366544402473769e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.93000000000049 y[1] (closed_form) 238.37398566670575 y[1] (numeric) 238.3739856666958 absolute error 9.947598300641403e-12 relative error 4.173105665376642e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.940000000000484 y[1] (closed_form) 239.17232800003873 y[1] (numeric) 239.17232800002924 absolute error 9.492850949754938e-12 relative error 3.969042334092011e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.950000000000479 y[1] (closed_form) 239.97245833337172 y[1] (numeric) 239.97245833336265 absolute error 9.066525308298878e-12 relative error 3.7781524476878034e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.960000000000473 y[1] (closed_form) 240.77437866670468 y[1] (numeric) 240.774378666696 absolute error 8.668621376273222e-12 relative error 3.600308896767161e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.970000000000468 y[1] (closed_form) 241.57809100003763 y[1] (numeric) 241.57809100002945 absolute error 8.185452315956354e-12 relative error 3.388325606048058e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.980000000000462 y[1] (closed_form) 242.3835973333706 y[1] (numeric) 242.38359733336284 absolute error 7.759126674500294e-12 relative error 3.201176465678291e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.990000000000457 y[1] (closed_form) 243.19089966670356 y[1] (numeric) 243.19089966669628 absolute error 7.275957614183426e-12 relative error 2.991870840625708e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.000000000000451 y[1] (closed_form) 244.00000000003658 y[1] (numeric) 244.0000000000297 absolute error 6.87805368215777e-12 relative error 2.818874459900303e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.010000000000446 y[1] (closed_form) 244.81090033336952 y[1] (numeric) 244.81090033336312 absolute error 6.394884621840902e-12 relative error 2.6121731561514263e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.02000000000044 y[1] (closed_form) 245.62360266670248 y[1] (numeric) 245.62360266669654 absolute error 5.9401372709544376e-12 relative error 2.4183902550337853e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.030000000000435 y[1] (closed_form) 246.43810900003544 y[1] (numeric) 246.43810900002993 absolute error 5.5138116294983774e-12 relative error 2.2374021825892135e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.040000000000429 y[1] (closed_form) 247.2544213333684 y[1] (numeric) 247.25442133336335 absolute error 5.059064278611913e-12 relative error 2.046096588012424e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.050000000000423 y[1] (closed_form) 248.07254166670134 y[1] (numeric) 248.0725416666968 absolute error 4.547473508864641e-12 relative error 1.8331224722865192e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.060000000000418 y[1] (closed_form) 248.89247200003433 y[1] (numeric) 248.8924720000302 absolute error 4.121147867408581e-12 relative error 1.6557945020562986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.070000000000412 y[1] (closed_form) 249.71421433336727 y[1] (numeric) 249.7142143333636 absolute error 3.666400516522117e-12 relative error 1.4682386128118e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.080000000000407 y[1] (closed_form) 250.5377706667002 y[1] (numeric) 250.53777066669696 absolute error 3.240074875066057e-12 relative error 1.2932480665266436e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.090000000000401 y[1] (closed_form) 251.36314300003315 y[1] (numeric) 251.36314300003033 absolute error 2.8137492336099967e-12 relative error 1.1193961055816468e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.100000000000396 y[1] (closed_form) 252.1903333333661 y[1] (numeric) 252.19033333336375 absolute error 2.3590018827235326e-12 relative error 9.354053549725905e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.11000000000039 y[1] (closed_form) 253.0193436666991 y[1] (numeric) 253.01934366669715 absolute error 1.9326762412674725e-12 relative error 7.638452512205453e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.120000000000385 y[1] (closed_form) 253.85017600003198 y[1] (numeric) 253.85017600003056 absolute error 1.4210854715202004e-12 relative error 5.598126792395926e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.13000000000038 y[1] (closed_form) 254.6828323333649 y[1] (numeric) 254.68283233336393 absolute error 9.663381206337363e-13 relative error 3.7942805637125014e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.140000000000374 y[1] (closed_form) 255.51731466669787 y[1] (numeric) 255.51731466669736 absolute error 5.115907697472721e-13 relative error 2.0021765273112777e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.150000000000368 y[1] (closed_form) 256.3536250000308 y[1] (numeric) 256.35362500003066 absolute error 1.1368683772161603e-13 relative error 4.4347661446801224e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 9.160000000000363 y[1] (closed_form) 257.1917653333638 y[1] (numeric) 257.191765333364 absolute error 2.2737367544323206e-13 relative error 8.840628126196713e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 9.170000000000357 y[1] (closed_form) 258.0317376666967 y[1] (numeric) 258.0317376666974 absolute error 6.821210263296962e-13 relative error 2.643554752209597e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.180000000000351 y[1] (closed_form) 258.87354400002965 y[1] (numeric) 258.87354400003073 absolute error 1.0800249583553523e-12 relative error 4.1720175096580307e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.190000000000346 y[1] (closed_form) 259.7171863333626 y[1] (numeric) 259.7171863333641 absolute error 1.5347723092418164e-12 relative error 5.909398337897609e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.20000000000034 y[1] (closed_form) 260.5626666666955 y[1] (numeric) 260.56266666669757 absolute error 2.0463630789890885e-12 relative error 7.853631163541702e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.210000000000335 y[1] (closed_form) 261.4099870000284 y[1] (numeric) 261.409987000031 absolute error 2.5579538487363607e-12 relative error 9.78521853006359e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.22000000000033 y[1] (closed_form) 262.25914933336134 y[1] (numeric) 262.2591493333644 absolute error 3.069544618483633e-12 relative error 1.170424225917812e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.230000000000324 y[1] (closed_form) 263.11015566669425 y[1] (numeric) 263.11015566669784 absolute error 3.581135388230905e-12 relative error 1.36107835866566e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.240000000000318 y[1] (closed_form) 263.9630080000272 y[1] (numeric) 263.96300800003127 absolute error 4.092726157978177e-12 relative error 1.55049231670286e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.250000000000313 y[1] (closed_form) 264.8177083333601 y[1] (numeric) 264.8177083333646 absolute error 4.490630090003833e-12 relative error 1.6957438829396182e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.260000000000307 y[1] (closed_form) 265.674258666693 y[1] (numeric) 265.67425866669794 absolute error 4.945377440890297e-12 relative error 1.8614439598736665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.270000000000302 y[1] (closed_form) 266.53266100002594 y[1] (numeric) 266.5326610000313 absolute error 5.343281372915953e-12 relative error 2.0047379382579432e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.280000000000296 y[1] (closed_form) 267.3929173333588 y[1] (numeric) 267.39291733336466 absolute error 5.8548721426632255e-12 relative error 2.1896137717679167e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.29000000000029 y[1] (closed_form) 268.2550296666917 y[1] (numeric) 268.255029666698 absolute error 6.30961949354969e-12 relative error 2.3520973684591955e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.300000000000285 y[1] (closed_form) 269.11900000002464 y[1] (numeric) 269.1190000000313 absolute error 6.650680006714538e-12 relative error 2.4712785075427335e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.31000000000028 y[1] (closed_form) 269.9848303333576 y[1] (numeric) 269.98483033336464 absolute error 7.048583938740194e-12 relative error 2.610733325289838e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.320000000000274 y[1] (closed_form) 270.8525226666905 y[1] (numeric) 270.852522666698 absolute error 7.503331289626658e-12 relative error 2.7702645025242068e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.330000000000268 y[1] (closed_form) 271.72207900002337 y[1] (numeric) 271.7220790000314 absolute error 8.01492205937393e-12 relative error 2.9496764079201824e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.340000000000263 y[1] (closed_form) 272.59350133335624 y[1] (numeric) 272.5935013333648 absolute error 8.58335624798201e-12 relative error 3.1487750830440275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.350000000000257 y[1] (closed_form) 273.4667916666892 y[1] (numeric) 273.46679166669827 absolute error 9.094947017729282e-12 relative error 3.3257957802841814e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.360000000000252 y[1] (closed_form) 274.3419520000221 y[1] (numeric) 274.34195200003165 absolute error 9.549694368615746e-12 relative error 3.4809456953251455e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.370000000000246 y[1] (closed_form) 275.21898433335497 y[1] (numeric) 275.2189843333651 absolute error 1.0118128557223827e-11 relative error 3.676391939942773e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.38000000000024 y[1] (closed_form) 276.0978906666878 y[1] (numeric) 276.0978906666984 absolute error 1.057287590811029e-11 relative error 3.829393945234492e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.390000000000235 y[1] (closed_form) 276.9786730000207 y[1] (numeric) 276.97867300003173 absolute error 1.1027623258996755e-11 relative error 3.981397968137399e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.40000000000023 y[1] (closed_form) 277.8613333333536 y[1] (numeric) 277.8613333333651 absolute error 1.1482370609883219e-11 relative error 4.132410390512191e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.410000000000224 y[1] (closed_form) 278.74587366668646 y[1] (numeric) 278.7458736666985 absolute error 1.2050804798491299e-11 relative error 4.323222668724124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.420000000000218 y[1] (closed_form) 279.6322960000194 y[1] (numeric) 279.6322960000319 absolute error 1.2505552149377763e-11 relative error 4.472141568861165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.430000000000213 y[1] (closed_form) 280.52060233335226 y[1] (numeric) 280.5206023333652 absolute error 1.2960299500264227e-11 relative error 4.62008829029358e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.440000000000207 y[1] (closed_form) 281.41079466668515 y[1] (numeric) 281.4107946666986 absolute error 1.34718902700115e-11 relative error 4.787268479152755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.450000000000202 y[1] (closed_form) 282.30287500001805 y[1] (numeric) 282.302875000032 absolute error 1.3926637620897964e-11 relative error 4.933225572320889e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.460000000000196 y[1] (closed_form) 283.1968453333509 y[1] (numeric) 283.19684533336533 absolute error 1.4438228390645236e-11 relative error 5.098301280033682e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.47000000000019 y[1] (closed_form) 284.0927076666838 y[1] (numeric) 284.0927076666988 absolute error 1.5006662579253316e-11 relative error 5.282311785651365e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.480000000000185 y[1] (closed_form) 284.99046400001663 y[1] (numeric) 284.99046400003226 absolute error 1.5631940186722204e-11 relative error 5.4850748222653834e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.49000000000018 y[1] (closed_form) 285.89011633334957 y[1] (numeric) 285.8901163333656 absolute error 1.602984411874786e-11 relative error 5.60699485674313e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.500000000000174 y[1] (closed_form) 286.7916666666824 y[1] (numeric) 286.79166666669903 absolute error 1.6655121726216748e-11 relative error 5.8073938897164036e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.510000000000169 y[1] (closed_form) 287.6951170000153 y[1] (numeric) 287.6951170000323 absolute error 1.7053025658242404e-11 relative error 5.927464406092613e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.520000000000163 y[1] (closed_form) 288.60046933334814 y[1] (numeric) 288.60046933336565 absolute error 1.750777300912887e-11 relative error 6.0664395486157386e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.530000000000157 y[1] (closed_form) 289.507725666681 y[1] (numeric) 289.50772566669906 absolute error 1.807620719773695e-11 relative error 6.24377368725166e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.540000000000152 y[1] (closed_form) 290.41688800001384 y[1] (numeric) 290.41688800003243 absolute error 1.858779796748422e-11 relative error 6.40038466615734e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.550000000000146 y[1] (closed_form) 291.3279583333467 y[1] (numeric) 291.32795833336576 absolute error 1.9042545318370685e-11 relative error 6.536463382131556e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.56000000000014 y[1] (closed_form) 292.24093866667954 y[1] (numeric) 292.24093866669915 absolute error 1.9610979506978765e-11 relative error 6.710551778423627e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.570000000000135 y[1] (closed_form) 293.15583100001237 y[1] (numeric) 293.15583100003244 absolute error 2.006572685786523e-11 relative error 6.844730595812158e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.58000000000013 y[1] (closed_form) 294.0726373333452 y[1] (numeric) 294.07263733336583 absolute error 2.063416104647331e-11 relative error 7.016688541165941e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.590000000000124 y[1] (closed_form) 294.9913596666781 y[1] (numeric) 294.9913596666991 absolute error 2.1032064978498966e-11 relative error 7.129722376365156e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.600000000000119 y[1] (closed_form) 295.91200000001095 y[1] (numeric) 295.9120000000325 absolute error 2.1543655748246238e-11 relative error 7.280426528239964e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.610000000000113 y[1] (closed_form) 296.83456033334375 y[1] (numeric) 296.83456033336586 absolute error 2.2112089936854318e-11 relative error 7.449297653218868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.620000000000108 y[1] (closed_form) 297.75904266667663 y[1] (numeric) 297.75904266669914 absolute error 2.2509993868879974e-11 relative error 7.559801934908341e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.630000000000102 y[1] (closed_form) 298.68544900000944 y[1] (numeric) 298.6854490000325 absolute error 2.3078428057488054e-11 relative error 7.726666342385942e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.640000000000096 y[1] (closed_form) 299.6137813333423 y[1] (numeric) 299.6137813333659 absolute error 2.3646862246096134e-11 relative error 7.892448117994703e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.650000000000091 y[1] (closed_form) 300.5440416666751 y[1] (numeric) 300.54404166669934 absolute error 2.4215296434704214e-11 relative error 8.057154053168923e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.660000000000085 y[1] (closed_form) 301.476232000008 y[1] (numeric) 301.4762320000327 absolute error 2.4726887204451486e-11 relative error 8.201935867518349e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.67000000000008 y[1] (closed_form) 302.4103543333408 y[1] (numeric) 302.4103543333661 absolute error 2.5295321393059567e-11 relative error 8.36456855084302e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.680000000000074 y[1] (closed_form) 303.3464106666736 y[1] (numeric) 303.3464106666994 absolute error 2.580691216280684e-11 relative error 8.507406468430006e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.690000000000069 y[1] (closed_form) 304.2844030000065 y[1] (numeric) 304.2844030000326 absolute error 2.6147972675971687e-11 relative error 8.59326748863008e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.700000000000063 y[1] (closed_form) 305.2243333333393 y[1] (numeric) 305.224333333366 absolute error 2.6716406864579767e-11 relative error 8.753039632460248e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.710000000000058 y[1] (closed_form) 306.16620366667206 y[1] (numeric) 306.16620366669935 absolute error 2.7284841053187847e-11 relative error 8.911774299848353e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.720000000000052 y[1] (closed_form) 307.1100160000049 y[1] (numeric) 307.11001600003266 absolute error 2.773958840407431e-11 relative error 9.03245969160246e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.730000000000047 y[1] (closed_form) 308.05577233333776 y[1] (numeric) 308.055772333366 absolute error 2.8251179173821583e-11 relative error 9.170800131364474e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.740000000000041 y[1] (closed_form) 309.00347466667057 y[1] (numeric) 309.0034746666993 absolute error 2.8705926524708048e-11 relative error 9.289839396037154e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.750000000000036 y[1] (closed_form) 309.95312500000335 y[1] (numeric) 309.9531250000326 absolute error 2.927436071331613e-11 relative error 9.444770306257055e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.76000000000003 y[1] (closed_form) 310.90472533333616 y[1] (numeric) 310.90472533336595 absolute error 2.97859514830634e-11 relative error 9.580411314472118e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.770000000000024 y[1] (closed_form) 311.85827766666904 y[1] (numeric) 311.8582776666992 absolute error 3.0183855415089056e-11 relative error 9.67870907289214e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.780000000000019 y[1] (closed_form) 312.8137840000018 y[1] (numeric) 312.8137840000325 absolute error 3.069544618483633e-11 relative error 9.81268977099684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.790000000000013 y[1] (closed_form) 313.77124633333466 y[1] (numeric) 313.7712463333658 absolute error 3.115019353572279e-11 relative error 9.9276762608867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.800000000000008 y[1] (closed_form) 314.7306666666674 y[1] (numeric) 314.73066666669916 absolute error 3.177547114319168e-11 relative error 1.0096083575117648e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.810000000000002 y[1] (closed_form) 315.69204700000023 y[1] (numeric) 315.6920470000326 absolute error 3.234390533179976e-11 relative error 1.0245397576265118e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.819999999999997 y[1] (closed_form) 316.655389333333 y[1] (numeric) 316.655389333366 absolute error 3.296918293926865e-11 relative error 1.0411691715931303e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.829999999999991 y[1] (closed_form) 317.6206956666658 y[1] (numeric) 317.62069566669936 absolute error 3.353761712787673e-11 relative error 1.0559015072202202e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.839999999999986 y[1] (closed_form) 318.5879679999986 y[1] (numeric) 318.58796800003273 absolute error 3.410605131648481e-11 relative error 1.0705379594399798e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.84999999999998 y[1] (closed_form) 319.5572083333314 y[1] (numeric) 319.5572083333661 absolute error 3.467448550509289e-11 relative error 1.0850791220119746e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.859999999999975 y[1] (closed_form) 320.5284186666642 y[1] (numeric) 320.52841866669934 absolute error 3.512923285597935e-11 relative error 1.0959787279427553e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.869999999999969 y[1] (closed_form) 321.501600999997 y[1] (numeric) 321.5016010000327 absolute error 3.5697667044587433e-11 relative error 1.1103418127173733e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.879999999999963 y[1] (closed_form) 322.4767573333298 y[1] (numeric) 322.476757333366 absolute error 3.6209257814334705e-11 relative error 1.1228486081837774e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.889999999999958 y[1] (closed_form) 323.4538896666625 y[1] (numeric) 323.4538896666993 absolute error 3.6777692002942786e-11 relative error 1.1370304447673908e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.899999999999952 y[1] (closed_form) 324.43299999999533 y[1] (numeric) 324.43300000003256 absolute error 3.723243935382925e-11 relative error 1.1476156665268263e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.909999999999947 y[1] (closed_form) 325.41409033332815 y[1] (numeric) 325.4140903333659 absolute error 3.774403012357652e-11 relative error 1.159876945860413e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.919999999999941 y[1] (closed_form) 326.3971626666609 y[1] (numeric) 326.3971626666993 absolute error 3.836930773104541e-11 relative error 1.1755404801184124e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.929999999999936 y[1] (closed_form) 327.38221899999365 y[1] (numeric) 327.38221900003253 absolute error 3.888089850079268e-11 relative error 1.1876301229662517e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.93999999999993 y[1] (closed_form) 328.36926133332645 y[1] (numeric) 328.36926133336584 absolute error 3.9392489270539954e-11 relative error 1.199639975757438e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.949999999999925 y[1] (closed_form) 329.3582916666592 y[1] (numeric) 329.35829166669913 absolute error 3.9904080040287226e-11 relative error 1.2115705312399972e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.95999999999992 y[1] (closed_form) 330.349311999992 y[1] (numeric) 330.3493120000324 absolute error 4.04156708100345e-11 relative error 1.2234222788402683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.969999999999914 y[1] (closed_form) 331.3423243333247 y[1] (numeric) 331.34232433336575 absolute error 4.1040948417503387e-11 relative error 1.2386268038675582e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.979999999999908 y[1] (closed_form) 332.33733066665746 y[1] (numeric) 332.337330666699 absolute error 4.155253918725066e-11 relative error 1.2503121182293205e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.989999999999903 y[1] (closed_form) 333.3343329999903 y[1] (numeric) 333.3343330000324 absolute error 4.212097337585874e-11 relative error 1.2636254116631893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.999999999999897 y[1] (closed_form) 334.333333333323 y[1] (numeric) 334.3333333333657 absolute error 4.268940756446682e-11 relative error 1.2768516719182892e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Finished! diff ( y , x , 1 ) = x * x ; Iterations 9901 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.02020202020097%