##############ECHO OF PROBLEM################# ##############temp/mult_c_linpostode.ode################# diff ( y , x , 1 ) = 2.0 * ( 0.2 * x + 0.3 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(0.2) * c(x) * c(x) + c(0.6) * c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) 0.062 y[1] (numeric) 0.062 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y[1] (closed_form) 0.06842000000000001 y[1] (numeric) 0.06842 absolute error 1.3877787807814457e-17 relative error 2.028323269192408e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) 0.07488000000000002 y[1] (numeric) 0.07488 absolute error 1.3877787807814457e-17 relative error 1.853337046983768e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) 0.08138000000000002 y[1] (numeric) 0.08138 absolute error 2.7755575615628914e-17 relative error 3.410613862819969e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) 0.08792000000000003 y[1] (numeric) 0.08792 absolute error 2.7755575615628914e-17 relative error 3.1569126041434153e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) 0.09450000000000003 y[1] (numeric) 0.0945 absolute error 2.7755575615628914e-17 relative error 2.937097948743799e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) 0.10112000000000003 y[1] (numeric) 0.10112 absolute error 2.7755575615628914e-17 relative error 2.74481562654558e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) 0.10778000000000004 y[1] (numeric) 0.10778 absolute error 4.163336342344337e-17 relative error 3.8628097442422854e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) 0.11448000000000004 y[1] (numeric) 0.11448 absolute error 4.163336342344337e-17 relative error 3.636736846911544e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) 0.12122000000000005 y[1] (numeric) 0.12122000000000001 absolute error 4.163336342344337e-17 relative error 3.434529238033605e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) 0.12800000000000006 y[1] (numeric) 0.12800000000000003 absolute error 2.7755575615628914e-17 relative error 2.168404344971008e-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) 0.13482000000000005 y[1] (numeric) 0.13482000000000002 absolute error 2.7755575615628914e-17 relative error 2.0587135154746258e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 0.14168000000000008 y[1] (numeric) 0.14168 absolute error 8.326672684688674e-17 relative error 5.877098168187937e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) 0.14858000000000007 y[1] (numeric) 0.14858000000000002 absolute error 5.551115123125783e-17 relative error 3.7361119417995557e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 0.15552000000000007 y[1] (numeric) 0.15552000000000002 absolute error 5.551115123125783e-17 relative error 3.5693898682650335e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) 0.16250000000000006 y[1] (numeric) 0.1625 absolute error 5.551115123125783e-17 relative error 3.41607084500048e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 0.16952000000000006 y[1] (numeric) 0.16952 absolute error 5.551115123125783e-17 relative error 3.274607788535737e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) 0.17658000000000007 y[1] (numeric) 0.17658000000000001 absolute error 5.551115123125783e-17 relative error 3.14368281975636e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) 0.1836800000000001 y[1] (numeric) 0.18368 absolute error 8.326672684688674e-17 relative error 4.533249501681549e-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) 0.1908200000000001 y[1] (numeric) 0.19082 absolute error 1.1102230246251565e-16 relative error 5.818169084085294e-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) 0.1980000000000001 y[1] (numeric) 0.198 absolute error 8.326672684688674e-17 relative error 4.2053902447922573e-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) 0.2052200000000001 y[1] (numeric) 0.20522 absolute error 8.326672684688674e-17 relative error 4.057437230625022e-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) 0.2124800000000001 y[1] (numeric) 0.21248 absolute error 1.1102230246251565e-16 relative error 5.225070710773513e-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) 0.21978000000000011 y[1] (numeric) 0.21978 absolute error 1.1102230246251565e-16 relative error 5.0515198135642735e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 0.22712000000000013 y[1] (numeric) 0.22712000000000002 absolute error 1.1102230246251565e-16 relative error 4.888266223252712e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 0.23450000000000013 y[1] (numeric) 0.23450000000000001 absolute error 1.1102230246251565e-16 relative error 4.734426544243735e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) 0.24192000000000013 y[1] (numeric) 0.24192 absolute error 1.3877787807814457e-16 relative error 5.736519431140232e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 0.24938000000000016 y[1] (numeric) 0.24938000000000002 absolute error 1.3877787807814457e-16 relative error 5.564916115091205e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 0.25688000000000016 y[1] (numeric) 0.25688000000000005 absolute error 1.1102230246251565e-16 relative error 4.321951980010728e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 0.26442000000000015 y[1] (numeric) 0.26442000000000004 absolute error 1.1102230246251565e-16 relative error 4.198710478122517e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 0.2720000000000002 y[1] (numeric) 0.272 absolute error 1.6653345369377348e-16 relative error 6.12255344462402e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 0.2796200000000002 y[1] (numeric) 0.27962000000000004 absolute error 1.6653345369377348e-16 relative error 5.955706090185729e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 0.2872800000000002 y[1] (numeric) 0.28728000000000004 absolute error 1.6653345369377348e-16 relative error 5.796903846204866e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 0.29498000000000024 y[1] (numeric) 0.29498 absolute error 2.220446049250313e-16 relative error 7.527446095499055e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 0.3027200000000002 y[1] (numeric) 0.30272000000000004 absolute error 1.6653345369377348e-16 relative error 5.50123723882708e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 0.3105000000000002 y[1] (numeric) 0.31050000000000005 absolute error 1.6653345369377348e-16 relative error 5.363396254227806e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) 0.31832000000000027 y[1] (numeric) 0.31832000000000005 absolute error 2.220446049250313e-16 relative error 6.975515359544833e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) 0.32618000000000025 y[1] (numeric) 0.3261800000000001 absolute error 1.6653345369377348e-16 relative error 5.105569124218939e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) 0.33408000000000027 y[1] (numeric) 0.33408000000000004 absolute error 2.220446049250313e-16 relative error 6.646450099527992e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 0.34202000000000027 y[1] (numeric) 0.34202000000000005 absolute error 2.220446049250313e-16 relative error 6.492152649699759e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 0.3500000000000003 y[1] (numeric) 0.3500000000000001 absolute error 2.220446049250313e-16 relative error 6.344131569286603e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 0.3580200000000003 y[1] (numeric) 0.35802000000000006 absolute error 2.220446049250313e-16 relative error 6.202016784677703e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 0.3660800000000003 y[1] (numeric) 0.36608000000000007 absolute error 2.220446049250313e-16 relative error 6.0654666992196e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 0.3741800000000003 y[1] (numeric) 0.37418000000000007 absolute error 2.220446049250313e-16 relative error 5.934165506575208e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 0.3823200000000003 y[1] (numeric) 0.38232000000000005 absolute error 2.7755575615628914e-16 relative error 7.259776003250912e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 0.39050000000000035 y[1] (numeric) 0.39050000000000007 absolute error 2.7755575615628914e-16 relative error 7.107701822184094e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 0.39872000000000035 y[1] (numeric) 0.3987200000000001 absolute error 2.7755575615628914e-16 relative error 6.961169646776909e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) 0.40698000000000034 y[1] (numeric) 0.40698000000000006 absolute error 2.7755575615628914e-16 relative error 6.819886877888076e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) 0.41528000000000037 y[1] (numeric) 0.4152800000000001 absolute error 2.7755575615628914e-16 relative error 6.683581105670605e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 0.42362000000000033 y[1] (numeric) 0.42362000000000005 absolute error 2.7755575615628914e-16 relative error 6.551998398477147e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 0.4320000000000004 y[1] (numeric) 0.43200000000000005 absolute error 3.3306690738754696e-16 relative error 7.709882115452469e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 0.44042000000000037 y[1] (numeric) 0.4404200000000001 absolute error 2.7755575615628914e-16 relative error 6.302069755149378e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 0.4488800000000004 y[1] (numeric) 0.44888000000000006 absolute error 3.3306690738754696e-16 relative error 7.419954272579458e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 0.4573800000000004 y[1] (numeric) 0.45738000000000006 absolute error 3.3306690738754696e-16 relative error 7.2820610299433e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 0.4659200000000004 y[1] (numeric) 0.4659200000000001 absolute error 2.7755575615628914e-16 relative error 5.957154793876393e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 0.4745000000000004 y[1] (numeric) 0.4745000000000001 absolute error 3.3306690738754696e-16 relative error 7.019323654110572e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 0.48312000000000044 y[1] (numeric) 0.4831200000000001 absolute error 3.3306690738754696e-16 relative error 6.894082368511895e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 0.49178000000000044 y[1] (numeric) 0.4917800000000001 absolute error 3.3306690738754696e-16 relative error 6.772681023781908e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 0.5004800000000005 y[1] (numeric) 0.5004800000000001 absolute error 3.3306690738754696e-16 relative error 6.654949396330456e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 0.5092200000000005 y[1] (numeric) 0.5092200000000001 absolute error 3.3306690738754696e-16 relative error 6.5407271393022e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 0.5180000000000005 y[1] (numeric) 0.5180000000000001 absolute error 3.3306690738754696e-16 relative error 6.429863076979666e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 0.5268200000000005 y[1] (numeric) 0.5268200000000002 absolute error 3.3306690738754696e-16 relative error 6.322214558816041e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 0.5356800000000005 y[1] (numeric) 0.5356800000000002 absolute error 3.3306690738754696e-16 relative error 6.217646867300378e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 0.5445800000000005 y[1] (numeric) 0.5445800000000002 absolute error 3.3306690738754696e-16 relative error 6.116032674493125e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 0.5535200000000005 y[1] (numeric) 0.5535200000000001 absolute error 3.3306690738754696e-16 relative error 6.01725154262803e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 0.5625000000000004 y[1] (numeric) 0.5625000000000001 absolute error 3.3306690738754696e-16 relative error 5.921189464667497e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 0.5715200000000005 y[1] (numeric) 0.5715200000000001 absolute error 3.3306690738754696e-16 relative error 5.827738441131486e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 0.5805800000000005 y[1] (numeric) 0.5805800000000001 absolute error 4.440892098500626e-16 relative error 7.649061453203041e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 0.5896800000000005 y[1] (numeric) 0.5896800000000001 absolute error 4.440892098500626e-16 relative error 7.531020381394353e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 0.5988200000000006 y[1] (numeric) 0.5988200000000001 absolute error 4.440892098500626e-16 relative error 7.416071771985942e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 0.6080000000000005 y[1] (numeric) 0.6080000000000001 absolute error 4.440892098500626e-16 relative error 7.304098846218128e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 0.6172200000000005 y[1] (numeric) 0.6172200000000001 absolute error 4.440892098500626e-16 relative error 7.19499060059723e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 0.6264800000000006 y[1] (numeric) 0.6264800000000001 absolute error 4.440892098500626e-16 relative error 7.088641454636416e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 0.6357800000000006 y[1] (numeric) 0.6357800000000001 absolute error 4.440892098500626e-16 relative error 6.984950924062761e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) 0.6451200000000006 y[1] (numeric) 0.6451200000000001 absolute error 4.440892098500626e-16 relative error 6.883823317368276e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) 0.6545000000000005 y[1] (numeric) 0.6545000000000002 absolute error 3.3306690738754696e-16 relative error 5.088875590336848e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) 0.6639200000000006 y[1] (numeric) 0.6639200000000002 absolute error 4.440892098500626e-16 relative error 6.688896400922734e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) 0.6733800000000005 y[1] (numeric) 0.6733800000000002 absolute error 3.3306690738754696e-16 relative error 4.946195422904552e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 0.6828800000000006 y[1] (numeric) 0.6828800000000002 absolute error 4.440892098500626e-16 relative error 6.50318079091586e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) 0.6924200000000006 y[1] (numeric) 0.6924200000000001 absolute error 4.440892098500626e-16 relative error 6.413581494613995e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) 0.7020000000000006 y[1] (numeric) 0.7020000000000002 absolute error 4.440892098500626e-16 relative error 6.326057120371257e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 0.7116200000000006 y[1] (numeric) 0.7116200000000001 absolute error 4.440892098500626e-16 relative error 6.240538628060794e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 0.7212800000000007 y[1] (numeric) 0.7212800000000001 absolute error 5.551115123125783e-16 relative error 7.696199982150867e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 0.7309800000000006 y[1] (numeric) 0.7309800000000002 absolute error 4.440892098500626e-16 relative error 6.075258007743881e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 0.7407200000000007 y[1] (numeric) 0.7407200000000002 absolute error 5.551115123125783e-16 relative error 7.494215254246919e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) 0.7505000000000007 y[1] (numeric) 0.7505000000000002 absolute error 5.551115123125783e-16 relative error 7.396555793638611e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) 0.7603200000000008 y[1] (numeric) 0.7603200000000001 absolute error 6.661338147750939e-16 relative error 8.761229676650531e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 0.7701800000000008 y[1] (numeric) 0.7701800000000001 absolute error 6.661338147750939e-16 relative error 8.649066643837717e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) 0.7800800000000008 y[1] (numeric) 0.7800800000000001 absolute error 6.661338147750939e-16 relative error 8.539301286728197e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 0.7900200000000007 y[1] (numeric) 0.7900200000000001 absolute error 6.661338147750939e-16 relative error 8.431860139934347e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 0.8000000000000007 y[1] (numeric) 0.8 absolute error 6.661338147750939e-16 relative error 8.326672684688666e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) 0.8100199999999996 y[1] (numeric) 0.8100200000000001 absolute error 4.440892098500626e-16 relative error 5.4824474685817984e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 0.8200799999999985 y[1] (numeric) 0.82008 absolute error 1.5543122344752192e-15 relative error 1.895317815914572e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 0.8301799999999974 y[1] (numeric) 0.83018 absolute error 2.6645352591003757e-15 relative error 3.2095873896027176e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 0.8403199999999962 y[1] (numeric) 0.8403200000000001 absolute error 3.885780586188048e-15 relative error 4.624167681583285e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) 0.8504999999999951 y[1] (numeric) 0.8505 absolute error 4.884981308350689e-15 relative error 5.743658210876798e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) 0.8607199999999939 y[1] (numeric) 0.86072 absolute error 6.106226635438361e-15 relative error 7.094324095453114e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) 0.8709799999999928 y[1] (numeric) 0.87098 absolute error 7.216449660063518e-15 relative error 8.285436703556428e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) 0.8812799999999916 y[1] (numeric) 0.88128 absolute error 8.326672684688674e-15 relative error 9.448384945407535e-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) 0.8916199999999904 y[1] (numeric) 0.89162 absolute error 9.547918011776346e-15 relative error 1.0708505878935475e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) 0.9019999999999893 y[1] (numeric) 0.9019999999999999 absolute error 1.0658141036401503e-14 relative error 1.1816120882928636e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) 0.9124199999999881 y[1] (numeric) 0.9124199999999999 absolute error 1.176836406102666e-14 relative error 1.2897968107918296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) 0.9228799999999868 y[1] (numeric) 0.9228799999999999 absolute error 1.3100631690576847e-14 relative error 1.4195379345718873e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) 0.9333799999999857 y[1] (numeric) 0.9333799999999999 absolute error 1.4210854715202004e-14 relative error 1.5225154508562667e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) 0.9439199999999844 y[1] (numeric) 0.9439199999999998 absolute error 1.532107773982716e-14 relative error 1.6231330769373902e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) 0.9544999999999833 y[1] (numeric) 0.9544999999999997 absolute error 1.6431300764452317e-14 relative error 1.7214563399112211e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 0.965119999999982 y[1] (numeric) 0.9651199999999996 absolute error 1.765254609153999e-14 relative error 1.8290519408509116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) 0.9757799999999808 y[1] (numeric) 0.9757799999999995 absolute error 1.8762769116165146e-14 relative error 1.922848297379073e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) 0.9864799999999795 y[1] (numeric) 0.9864799999999995 absolute error 1.9984014443252818e-14 relative error 2.0257901268402027e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) 0.9972199999999782 y[1] (numeric) 0.9972199999999993 absolute error 2.1094237467877974e-14 relative error 2.1153042927216097e-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) 1.007999999999977 y[1] (numeric) 1.0079999999999996 absolute error 2.2648549702353193e-14 relative error 2.246879930789059e-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) 1.0188199999999756 y[1] (numeric) 1.0188199999999992 absolute error 2.353672812205332e-14 relative error 2.3101949433711433e-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) 1.0296799999999744 y[1] (numeric) 1.0296799999999995 absolute error 2.5091040356528538e-14 relative error 2.436780393571708e-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) 1.0405799999999732 y[1] (numeric) 1.040579999999999 absolute error 2.5757174171303632e-14 relative error 2.4752709230721614e-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) 1.0515199999999718 y[1] (numeric) 1.0515199999999993 absolute error 2.7533531010703882e-14 relative error 2.6184505297763827e-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) 1.0624999999999705 y[1] (numeric) 1.0624999999999987 absolute error 2.8199664825478976e-14 relative error 2.6540861012216244e-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) 1.0735199999999692 y[1] (numeric) 1.0735199999999991 absolute error 2.9976021664879227e-14 relative error 2.7923114301438342e-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) 1.084579999999968 y[1] (numeric) 1.0845799999999985 absolute error 3.064215547965432e-14 relative error 2.825255442628043e-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) 1.0956799999999665 y[1] (numeric) 1.0956799999999989 absolute error 3.241851231905457e-14 relative error 2.9587573305212802e-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) 1.106819999999965 y[1] (numeric) 1.1068199999999984 absolute error 3.3306690738754696e-14 relative error 3.0092237887602094e-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) 1.1179999999999637 y[1] (numeric) 1.1179999999999986 absolute error 3.4861002973229915e-14 relative error 3.1181576899133317e-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) 1.1292199999999624 y[1] (numeric) 1.1292199999999981 absolute error 3.574918139293004e-14 relative error 3.165829633989057e-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) 1.140479999999961 y[1] (numeric) 1.1404799999999982 absolute error 3.708144902248023e-14 relative error 3.251389680001534e-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) 1.1517799999999596 y[1] (numeric) 1.1517799999999978 absolute error 3.8191672047105385e-14 relative error 3.315882551104093e-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) 1.1631199999999582 y[1] (numeric) 1.1631199999999977 absolute error 3.952393967665557e-14 relative error 3.3980964712718374e-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) 1.1744999999999568 y[1] (numeric) 1.1744999999999974 absolute error 4.063416270128073e-14 relative error 3.4596988251411006e-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) 1.1859199999999555 y[1] (numeric) 1.1859199999999974 absolute error 4.196643033083092e-14 relative error 3.538723550562643e-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) 1.197379999999954 y[1] (numeric) 1.1973799999999972 absolute error 4.3298697960381105e-14 relative error 3.616120025420733e-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) 1.2088799999999527 y[1] (numeric) 1.208879999999997 absolute error 4.440892098500626e-14 relative error 3.673559078238369e-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) 1.220419999999951 y[1] (numeric) 1.220419999999997 absolute error 4.596323321948148e-14 relative error 3.766181578430649e-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) 1.2319999999999496 y[1] (numeric) 1.2319999999999967 absolute error 4.707345624410664e-14 relative error 3.820897422411409e-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) 1.2436199999999482 y[1] (numeric) 1.2436199999999966 absolute error 4.8405723873656825e-14 relative error 3.892324333289819e-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) 1.2552799999999467 y[1] (numeric) 1.2552799999999962 absolute error 4.951594689828198e-14 relative error 3.94461370357881e-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) 1.2669799999999452 y[1] (numeric) 1.2669799999999962 absolute error 5.10702591327572e-14 relative error 4.030865454289682e-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) 1.278719999999944 y[1] (numeric) 1.2787199999999959 absolute error 5.1958437552457326e-14 relative error 4.063316250035943e-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) 1.2904999999999422 y[1] (numeric) 1.290499999999996 absolute error 5.3734794391857577e-14 relative error 4.163874032689654e-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) 1.3023199999999409 y[1] (numeric) 1.3023199999999955 absolute error 5.46229728115577e-14 relative error 4.194281959238911e-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) 1.3141799999999393 y[1] (numeric) 1.3141799999999957 absolute error 5.639932965095795e-14 relative error 4.29159853680322e-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) 1.3260799999999378 y[1] (numeric) 1.326079999999995 absolute error 5.728750807065808e-14 relative error 4.320064254845919e-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) 1.3380199999999363 y[1] (numeric) 1.3380199999999953 absolute error 5.906386491005833e-14 relative error 4.414273696212399e-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) 1.3499999999999348 y[1] (numeric) 1.3499999999999945 absolute error 5.972999872483342e-14 relative error 4.424444349987874e-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) 1.3620199999999332 y[1] (numeric) 1.362019999999995 absolute error 6.17284001691587e-14 relative error 4.532121420328757e-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) 1.3740799999999316 y[1] (numeric) 1.3740799999999942 absolute error 6.261657858885883e-14 relative error 4.556982023525701e-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) 1.38617999999993 y[1] (numeric) 1.3861799999999944 absolute error 6.439293542825908e-14 relative error 4.645351644682677e-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) 1.3983199999999285 y[1] (numeric) 1.3983199999999938 absolute error 6.52811138479592e-14 relative error 4.668538950166095e-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) 1.4104999999999268 y[1] (numeric) 1.4104999999999939 absolute error 6.705747068735946e-14 relative error 4.754163111475572e-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) 1.4227199999999254 y[1] (numeric) 1.4227199999999933 absolute error 6.794564910705958e-14 relative error 4.775756937912108e-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) 1.4349799999999238 y[1] (numeric) 1.4349799999999933 absolute error 6.94999613415348e-14 relative error 4.8432703829696926e-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) 1.4472799999999222 y[1] (numeric) 1.4472799999999928 absolute error 7.061018436615996e-14 relative error 4.878819880476739e-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) 1.4596199999999206 y[1] (numeric) 1.4596199999999928 absolute error 7.216449660063518e-14 relative error 4.944060550049951e-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) 1.4719999999999187 y[1] (numeric) 1.4719999999999924 absolute error 7.37188088351104e-14 relative error 5.008071252385494e-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) 1.4844199999999173 y[1] (numeric) 1.4844199999999923 absolute error 7.505107646466058e-14 relative error 5.05591924554134e-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) 1.4968799999999156 y[1] (numeric) 1.496879999999992 absolute error 7.638334409421077e-14 relative error 5.102836840242042e-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) 1.509379999999914 y[1] (numeric) 1.5093799999999917 absolute error 7.771561172376096e-14 relative error 5.148843347849142e-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) 1.5219199999999122 y[1] (numeric) 1.5219199999999915 absolute error 7.926992395823618e-14 relative error 5.208547358484069e-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) 1.5344999999999107 y[1] (numeric) 1.534499999999991 absolute error 8.038014698286133e-14 relative error 5.238197913513588e-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) 1.547119999999909 y[1] (numeric) 1.547119999999991 absolute error 8.193445921733655e-14 relative error 5.295934330713931e-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) 1.5597799999999071 y[1] (numeric) 1.5597799999999904 absolute error 8.326672684688674e-14 relative error 5.338363541454032e-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) 1.5724799999999055 y[1] (numeric) 1.5724799999999903 absolute error 8.482103908136196e-14 relative error 5.394093348174035e-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) 1.5852199999999037 y[1] (numeric) 1.5852199999999899 absolute error 8.615330671091215e-14 relative error 5.434785500493142e-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) 1.5979999999999022 y[1] (numeric) 1.5979999999999899 absolute error 8.770761894538737e-14 relative error 5.488586917734214e-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) 1.6108199999999004 y[1] (numeric) 1.6108199999999893 absolute error 8.881784197001252e-14 relative error 5.513827862207944e-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) 1.6236799999998988 y[1] (numeric) 1.6236799999999894 absolute error 9.059419880941277e-14 relative error 5.579559938498868e-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) 1.636579999999897 y[1] (numeric) 1.6365799999999886 absolute error 9.170442183403793e-14 relative error 5.603418215671932e-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) 1.649519999999895 y[1] (numeric) 1.6495199999999888 absolute error 9.370282327836321e-14 relative error 5.680611528103277e-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) 1.6624999999998935 y[1] (numeric) 1.6624999999999879 absolute error 9.43689570931383e-14 relative error 5.676328246204172e-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) 1.6755199999998918 y[1] (numeric) 1.6755199999999881 absolute error 9.636735853746359e-14 relative error 5.751489599495668e-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) 1.6885799999998898 y[1] (numeric) 1.6885799999999873 absolute error 9.747758156208874e-14 relative error 5.772754714736353e-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) 1.7016799999998882 y[1] (numeric) 1.7016799999999874 absolute error 9.9253938401489e-14 relative error 5.8327028819458134e-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) 1.7148199999998863 y[1] (numeric) 1.7148199999999867 absolute error 1.0036416142611415e-13 relative error 5.852751975491352e-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) 1.7279999999998845 y[1] (numeric) 1.7279999999999867 absolute error 1.021405182655144e-13 relative error 5.910909621847294e-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) 1.7412199999998828 y[1] (numeric) 1.741219999999986 absolute error 1.0325074129013956e-13 relative error 5.929792977920453e-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) 1.754479999999881 y[1] (numeric) 1.7544799999999858 absolute error 1.0480505352461478e-13 relative error 5.9735678676657404e-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) 1.7677799999998791 y[1] (numeric) 1.7677799999999853 absolute error 1.0613732115416497e-13 relative error 6.00398924946386e-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) 1.7811199999998772 y[1] (numeric) 1.781119999999985 absolute error 1.0769163338864018e-13 relative error 6.046287357878616e-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) 1.7944999999998754 y[1] (numeric) 1.7944999999999844 absolute error 1.0902390101819037e-13 relative error 6.075447256517021e-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) 1.8079199999998736 y[1] (numeric) 1.8079199999999842 absolute error 1.1057821325266559e-13 relative error 6.116322251685546e-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) 1.8213799999998717 y[1] (numeric) 1.8213799999999838 absolute error 1.1213252548714081e-13 relative error 6.156459689199876e-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) 1.83487999999987 y[1] (numeric) 1.8348799999999834 absolute error 1.13464793116691e-13 relative error 6.183771860650236e-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) 1.848419999999868 y[1] (numeric) 1.848419999999983 absolute error 1.1501910535116622e-13 relative error 6.222563343351318e-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) 1.861999999999866 y[1] (numeric) 1.8619999999999826 absolute error 1.1657341758564144e-13 relative error 6.2606561539017095e-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) 1.8756199999998642 y[1] (numeric) 1.8756199999999823 absolute error 1.1812772982011666e-13 relative error 6.2980630308977946e-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) 1.8892799999998622 y[1] (numeric) 1.8892799999999816 absolute error 1.1945999744966684e-13 relative error 6.3230435641977665e-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) 1.9029799999998604 y[1] (numeric) 1.9029799999999815 absolute error 1.2101430968414206e-13 relative error 6.35920029028949e-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) 1.9167199999998585 y[1] (numeric) 1.9167199999999809 absolute error 1.2234657731369225e-13 relative error 6.383122068622505e-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) 1.9304999999998564 y[1] (numeric) 1.9304999999999808 absolute error 1.2434497875801753e-13 relative error 6.441076340742128e-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) 1.9443199999998546 y[1] (numeric) 1.94431999999998 absolute error 1.254552017826427e-13 relative error 6.452394759229554e-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) 1.9581799999998526 y[1] (numeric) 1.95817999999998 absolute error 1.2745360322696797e-13 relative error 6.508778724477707e-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) 1.9720799999998508 y[1] (numeric) 1.9720799999999792 absolute error 1.283417816466681e-13 relative error 6.5079399236683e-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) 1.9860199999998487 y[1] (numeric) 1.9860199999999792 absolute error 1.305622276959184e-13 relative error 6.5740640928051256e-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) 1.9999999999998468 y[1] (numeric) 1.9999999999999782 absolute error 1.3145040611561853e-13 relative error 6.57252030578143e-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) 2.014019999999845 y[1] (numeric) 2.0140199999999773 absolute error 1.3233858453531866e-13 relative error 6.570867445970191e-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) 2.028079999999843 y[1] (numeric) 2.0280799999999775 absolute error 1.3455903058456897e-13 relative error 6.634798951943681e-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) 2.042179999999841 y[1] (numeric) 2.0421799999999766 absolute error 1.354472090042691e-13 relative error 6.632481417126778e-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) 2.056319999999839 y[1] (numeric) 2.0563199999999764 absolute error 1.3722356584366935e-13 relative error 6.67325931001401e-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) 2.070499999999837 y[1] (numeric) 2.0704999999999756 absolute error 1.3855583347321954e-13 relative error 6.6919021237976544e-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) 2.084719999999835 y[1] (numeric) 2.0847199999999755 absolute error 1.4033219031261979e-13 relative error 6.731464672120519e-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) 2.098979999999833 y[1] (numeric) 2.0989799999999748 absolute error 1.4166445794216997e-13 relative error 6.7492047538414484e-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) 2.113279999999831 y[1] (numeric) 2.1132799999999743 absolute error 1.4344081478157023e-13 relative error 6.7875915534894435e-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) 2.127619999999829 y[1] (numeric) 2.1276199999999736 absolute error 1.4477308241112041e-13 relative error 6.804461436305922e-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) 2.1419999999998267 y[1] (numeric) 2.1419999999999733 absolute error 1.4654943925052066e-13 relative error 6.841710515897877e-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) 2.156419999999825 y[1] (numeric) 2.1564199999999727 absolute error 1.4788170688007085e-13 relative error 6.8577413899000595e-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) 2.1708799999998227 y[1] (numeric) 2.170879999999972 absolute error 1.4921397450962104e-13 relative error 6.873432640663382e-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) 2.1853799999998205 y[1] (numeric) 2.1853799999999715 absolute error 1.509903313490213e-13 relative error 6.90911106302033e-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) 2.1999199999998185 y[1] (numeric) 2.1999199999999712 absolute error 1.5276668818842154e-13 relative error 6.944192888306582e-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) 2.2144999999998163 y[1] (numeric) 2.214499999999971 absolute error 1.545430450278218e-13 relative error 6.978687966937666e-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) 2.2291199999998144 y[1] (numeric) 2.2291199999999702 absolute error 1.5587531265737198e-13 relative error 6.992683779131898e-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) 2.2437799999998123 y[1] (numeric) 2.24377999999997 absolute error 1.5765166949677223e-13 relative error 7.026164307409168e-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) 2.25847999999981 y[1] (numeric) 2.2584799999999694 absolute error 1.5942802633617248e-13 relative error 7.059085151791731e-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) 2.273219999999808 y[1] (numeric) 2.273219999999969 absolute error 1.6120438317557273e-13 relative error 7.091455432188101e-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) 2.2879999999998057 y[1] (numeric) 2.2879999999999683 absolute error 1.6253665080512292e-13 relative error 7.103874598126605e-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) 2.3028199999998034 y[1] (numeric) 2.302819999999968 absolute error 1.6475709685437323e-13 relative error 7.154579900052427e-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) 2.3176799999998012 y[1] (numeric) 2.3176799999999673 absolute error 1.6608936448392342e-13 relative error 7.166190521725935e-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) 2.3325799999997994 y[1] (numeric) 2.3325799999999672 absolute error 1.6786572132332367e-13 relative error 7.196568663168599e-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) 2.347519999999797 y[1] (numeric) 2.347519999999966 absolute error 1.6919798895287386e-13 relative error 7.2075206580940095e-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) 2.3624999999997947 y[1] (numeric) 2.362499999999966 absolute error 1.7141843500212417e-13 relative error 7.255806772577315e-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) 2.3775199999997927 y[1] (numeric) 2.377519999999965 absolute error 1.723066134218243e-13 relative error 7.247325508169829e-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) 2.39257999999979 y[1] (numeric) 2.3925799999999646 absolute error 1.745270594710746e-13 relative error 7.294513014030457e-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) 2.407679999999788 y[1] (numeric) 2.4076799999999636 absolute error 1.7541523789077473e-13 relative error 7.28565415216267e-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) 2.4228199999997857 y[1] (numeric) 2.4228199999999633 absolute error 1.7763568394002505e-13 relative error 7.331773880851271e-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) 2.437999999999784 y[1] (numeric) 2.4379999999999624 absolute error 1.7852386235972517e-13 relative error 7.32255382935771e-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) 2.4532199999997815 y[1] (numeric) 2.453219999999962 absolute error 1.8074430840897548e-13 relative error 7.367635532442733e-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) 2.4684799999997793 y[1] (numeric) 2.4684799999999614 absolute error 1.8207657603852567e-13 relative error 7.376060411206165e-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) 2.483779999999777 y[1] (numeric) 2.4837799999999612 absolute error 1.8429702208777599e-13 relative error 7.420021986157893e-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) 2.499119999999775 y[1] (numeric) 2.4991199999999605 absolute error 1.8562928971732617e-13 relative error 7.427786169425353e-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) 2.5144999999997726 y[1] (numeric) 2.51449999999996 absolute error 1.8740564655672642e-13 relative error 7.45299847113714e-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) 2.52991999999977 y[1] (numeric) 2.5299199999999593 absolute error 1.8918200339612667e-13 relative error 7.477785993080566e-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) 2.545379999999768 y[1] (numeric) 2.545379999999959 absolute error 1.9095836023552692e-13 relative error 7.50215528665835e-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) 2.5608799999997656 y[1] (numeric) 2.5608799999999583 absolute error 1.9273471707492718e-13 relative error 7.52611278447037e-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) 2.5764199999997635 y[1] (numeric) 2.5764199999999575 absolute error 1.9406698470447736e-13 relative error 7.53242812524725e-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) 2.5919999999997607 y[1] (numeric) 2.591999999999957 absolute error 1.9628743075372768e-13 relative error 7.572817544511798e-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) 2.6076199999997582 y[1] (numeric) 2.6076199999999563 absolute error 1.9806378759312793e-13 relative error 7.595577100695128e-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) 2.623279999999756 y[1] (numeric) 2.623279999999956 absolute error 1.9984014443252818e-13 relative error 7.617949453834388e-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) 2.638979999999754 y[1] (numeric) 2.638979999999955 absolute error 2.007283228522283e-13 relative error 7.606284354267445e-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) 2.6547199999997515 y[1] (numeric) 2.6547199999999544 absolute error 2.0294876890147862e-13 relative error 7.644827661730714e-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) 2.670499999999749 y[1] (numeric) 2.6704999999999535 absolute error 2.042810365310288e-13 relative error 7.649542652351544e-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) 2.6863199999997467 y[1] (numeric) 2.686319999999953 absolute error 2.0650148258027912e-13 relative error 7.687151291741065e-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) 2.7021799999997445 y[1] (numeric) 2.7021799999999523 absolute error 2.078337502098293e-13 relative error 7.69133626219752e-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) 2.718079999999742 y[1] (numeric) 2.718079999999952 absolute error 2.1005419625907962e-13 relative error 7.728035828934378e-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) 2.7340199999997394 y[1] (numeric) 2.7340199999999513 absolute error 2.1183055309847987e-13 relative error 7.747951847407848e-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) 2.749999999999737 y[1] (numeric) 2.749999999999951 absolute error 2.1405099914773018e-13 relative error 7.783672696281841e-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) 2.7660199999997346 y[1] (numeric) 2.76601999999995 absolute error 2.1538326677728037e-13 relative error 7.786757390666049e-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) 2.7820799999997323 y[1] (numeric) 2.78207999999995 absolute error 2.1760371282653068e-13 relative error 7.821619537416308e-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) 2.79817999999973 y[1] (numeric) 2.798179999999949 absolute error 2.1893598045608087e-13 relative error 7.824227907286236e-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) 2.8143199999997273 y[1] (numeric) 2.8143199999999484 absolute error 2.2115642650533118e-13 relative error 7.858254445313703e-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) 2.830499999999725 y[1] (numeric) 2.8304999999999474 absolute error 2.2248869413488137e-13 relative error 7.860402548486239e-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) 2.8467199999997224 y[1] (numeric) 2.846719999999947 absolute error 2.2470914018413168e-13 relative error 7.893615816945594e-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) 2.8629799999997196 y[1] (numeric) 2.862979999999946 absolute error 2.2648549702353193e-13 relative error 7.910830568971985e-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) 2.879279999999717 y[1] (numeric) 2.8792799999999454 absolute error 2.282618538629322e-13 relative error 7.927740749873393e-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) 2.895619999999715 y[1] (numeric) 2.8956199999999446 absolute error 2.2959412149248237e-13 relative error 7.929014217767006e-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) 2.911999999999712 y[1] (numeric) 2.911999999999944 absolute error 2.318145675417327e-13 relative error 7.960665094153694e-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) 2.92841999999971 y[1] (numeric) 2.928419999999943 absolute error 2.3314683517128287e-13 relative error 7.961523113873896e-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) 2.9448799999997073 y[1] (numeric) 2.944879999999942 absolute error 2.349231920106831e-13 relative error 7.977343457482358e-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) 2.961379999999705 y[1] (numeric) 2.9613799999999415 absolute error 2.3669954885008337e-13 relative error 7.992879969814984e-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) 2.9779199999997026 y[1] (numeric) 2.977919999999941 absolute error 2.384759056894836e-13 relative error 8.008136742743507e-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) 2.9944999999996997 y[1] (numeric) 2.9944999999999404 absolute error 2.4069635173873394e-13 relative error 8.037947962556623e-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) 3.011119999999697 y[1] (numeric) 3.0111199999999396 absolute error 2.424727085781342e-13 relative error 8.05257540643211e-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) 3.0277799999996944 y[1] (numeric) 3.027779999999939 absolute error 2.446931546273845e-13 relative error 8.081602845233445e-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) 3.044479999999692 y[1] (numeric) 3.0444799999999383 absolute error 2.4646951146678475e-13 relative error 8.095619332917599e-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) 3.0612199999996896 y[1] (numeric) 3.061219999999938 absolute error 2.48245868306185e-13 relative error 8.109376925089022e-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) 3.0779999999996868 y[1] (numeric) 3.077999999999937 absolute error 2.5002222514558525e-13 relative error 8.122879309474032e-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) 3.094819999999684 y[1] (numeric) 3.0948199999999364 absolute error 2.5224267119483557e-13 relative error 8.150479549533134e-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) 3.111679999999682 y[1] (numeric) 3.1116799999999354 absolute error 2.5357493882438575e-13 relative error 8.149132906481762e-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) 3.128579999999679 y[1] (numeric) 3.128579999999935 absolute error 2.5623947408348613e-13 relative error 8.190280385462811e-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) 3.1455199999996766 y[1] (numeric) 3.1455199999999337 absolute error 2.5712765250318625e-13 relative error 8.174408444492888e-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) 3.1624999999996737 y[1] (numeric) 3.1624999999999335 absolute error 2.5979218776228663e-13 relative error 8.214772735567224e-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) 3.1795199999996715 y[1] (numeric) 3.179519999999932 absolute error 2.6068036618198676e-13 relative error 8.198733336541795e-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) 3.1965799999996687 y[1] (numeric) 3.1965799999999316 absolute error 2.6290081223123707e-13 relative error 8.224440252747134e-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) 3.213679999999666 y[1] (numeric) 3.2136799999999304 absolute error 2.6423307986078726e-13 relative error 8.222134122277723e-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) 3.230819999999663 y[1] (numeric) 3.23081999999993 absolute error 2.6689761511988763e-13 relative error 8.260986842966042e-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) 3.2479999999996605 y[1] (numeric) 3.2479999999999287 absolute error 2.682298827494378e-13 relative error 8.258309197951535e-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) 3.265219999999658 y[1] (numeric) 3.2652199999999283 absolute error 2.7045032879868813e-13 relative error 8.282759777249817e-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) 3.282479999999655 y[1] (numeric) 3.2824799999999272 absolute error 2.722266856380884e-13 relative error 8.293323512652537e-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) 3.2997799999996524 y[1] (numeric) 3.299779999999927 absolute error 2.744471316873387e-13 relative error 8.317134223716963e-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) 3.3171199999996497 y[1] (numeric) 3.317119999999926 absolute error 2.7622348852673895e-13 relative error 8.327208196470677e-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) 3.3344999999996467 y[1] (numeric) 3.334499999999925 absolute error 2.7844393457598926e-13 relative error 8.35039539889095e-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) 3.3519199999996445 y[1] (numeric) 3.3519199999999243 absolute error 2.7977620220553945e-13 relative error 8.346744618176123e-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) 3.3693799999996417 y[1] (numeric) 3.3693799999999237 absolute error 2.8199664825478976e-13 relative error 8.369392833542663e-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) 3.386879999999639 y[1] (numeric) 3.386879999999923 absolute error 2.8377300509419e-13 relative error 8.378596380569145e-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) 3.404419999999636 y[1] (numeric) 3.404419999999922 absolute error 2.859934511434403e-13 relative error 8.40065124583544e-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) 3.4219999999996333 y[1] (numeric) 3.421999999999921 absolute error 2.877698079828406e-13 relative error 8.409404090674209e-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) 3.43961999999963 y[1] (numeric) 3.43961999999992 absolute error 2.899902540320909e-13 relative error 8.43088056332159e-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) 3.4572799999996278 y[1] (numeric) 3.4572799999999195 absolute error 2.9176661087149114e-13 relative error 8.439195288536727e-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) 3.4749799999996247 y[1] (numeric) 3.4749799999999182 absolute error 2.935429677108914e-13 relative error 8.447328264074127e-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) 3.492719999999622 y[1] (numeric) 3.4927199999999177 absolute error 2.957634137601417e-13 relative error 8.467996683392134e-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) 3.5104999999996194 y[1] (numeric) 3.5104999999999165 absolute error 2.970956813896919e-13 relative error 8.463058863117051e-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) 3.528319999999616 y[1] (numeric) 3.528319999999916 absolute error 2.9976021664879227e-13 relative error 8.495834183090674e-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) 3.5461799999996138 y[1] (numeric) 3.5461799999999144 absolute error 3.006483950684924e-13 relative error 8.478091779563506e-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) 3.5640799999996107 y[1] (numeric) 3.564079999999914 absolute error 3.0331293032759277e-13 relative error 8.510272786458943e-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) 3.5820199999996083 y[1] (numeric) 3.582019999999913 absolute error 3.0464519795714295e-13 relative error 8.504843578683991e-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) 3.5999999999996053 y[1] (numeric) 3.5999999999999126 absolute error 3.0730973321624333e-13 relative error 8.536381478229917e-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) 3.6180199999996026 y[1] (numeric) 3.618019999999911 absolute error 3.086420008457935e-13 relative error 8.530688079276163e-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) 3.636079999999599 y[1] (numeric) 3.636079999999911 absolute error 3.1175062531474396e-13 relative error 8.57381095341077e-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) 3.6541799999995965 y[1] (numeric) 3.6541799999999096 absolute error 3.1308289294429414e-13 relative error 8.567801611971187e-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) 3.6723199999995937 y[1] (numeric) 3.672319999999909 absolute error 3.1530333899354446e-13 relative error 8.585944007972599e-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) 3.6904999999995907 y[1] (numeric) 3.6904999999999077 absolute error 3.170796958329447e-13 relative error 8.591781488496949e-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) 3.708719999999588 y[1] (numeric) 3.708719999999907 absolute error 3.19300141882195e-13 relative error 8.609443200948859e-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) 3.726979999999585 y[1] (numeric) 3.726979999999906 absolute error 3.2107649872159527e-13 relative error 8.614924113400958e-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) 3.745279999999582 y[1] (numeric) 3.745279999999905 absolute error 3.232969447708456e-13 relative error 8.632116818258759e-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) 3.763619999999579 y[1] (numeric) 3.763619999999904 absolute error 3.2507330161024584e-13 relative error 8.63725088107413e-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) 3.7819999999995764 y[1] (numeric) 3.781999999999903 absolute error 3.268496584496461e-13 relative error 8.642243745364428e-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) 3.800419999999573 y[1] (numeric) 3.800419999999902 absolute error 3.290701044988964e-13 relative error 8.658782568740648e-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) 3.81887999999957 y[1] (numeric) 3.818879999999901 absolute error 3.3084646133829665e-13 relative error 8.663442196097648e-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) 3.837379999999567 y[1] (numeric) 3.8373799999999 absolute error 3.3306690738754696e-13 relative error 8.679539357258977e-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) 3.855919999999564 y[1] (numeric) 3.8559199999998994 absolute error 3.352873534367973e-13 relative error 8.695391850371253e-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) 3.8744999999995615 y[1] (numeric) 3.8744999999998986 absolute error 3.3706371027619753e-13 relative error 8.69954085110945e-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) 3.8931199999995583 y[1] (numeric) 3.8931199999998976 absolute error 3.3928415632544784e-13 relative error 8.714967849064153e-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) 3.9117799999995553 y[1] (numeric) 3.911779999999897 absolute error 3.4150460237469815e-13 relative error 8.730158709711103e-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) 3.930479999999552 y[1] (numeric) 3.930479999999896 absolute error 3.4372504842394846e-13 relative error 8.745116332457807e-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) 3.949219999999549 y[1] (numeric) 3.949219999999895 absolute error 3.459454944731988e-13 relative error 8.75984357602864e-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) 3.967999999999546 y[1] (numeric) 3.967999999999894 absolute error 3.4772185131259903e-13 relative error 8.763151494774163e-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) 3.9868199999995433 y[1] (numeric) 3.9868199999998932 absolute error 3.4994229736184934e-13 relative error 8.777479228103838e-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) 4.00567999999954 y[1] (numeric) 4.005679999999892 absolute error 3.526068326209497e-13 relative error 8.80267102267256e-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) 4.024579999999537 y[1] (numeric) 4.024579999999892 absolute error 3.552713678800501e-13 relative error 8.827538970031432e-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) 4.043519999999534 y[1] (numeric) 4.043519999999891 absolute error 3.5704772471945034e-13 relative error 8.830121397185905e-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) 4.062499999999531 y[1] (numeric) 4.062499999999891 absolute error 3.597122599785507e-13 relative error 8.854455630242271e-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) 4.081519999999528 y[1] (numeric) 4.081519999999889 absolute error 3.6148861681795097e-13 relative error 8.856715557390207e-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) 4.100579999999525 y[1] (numeric) 4.100579999999889 absolute error 3.6415315207705135e-13 relative error 8.880527927197946e-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) 4.119679999999521 y[1] (numeric) 4.119679999999888 absolute error 3.668176873361517e-13 relative error 8.904033501053343e-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) 4.1388199999995186 y[1] (numeric) 4.138819999999887 absolute error 3.6859404417555197e-13 relative error 8.905776143335415e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) 4.157999999999515 y[1] (numeric) 4.157999999999886 absolute error 3.703704010149522e-13 relative error 8.907417051827691e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) 4.177219999999512 y[1] (numeric) 4.177219999999886 absolute error 3.739231146937527e-13 relative error 8.95148243793232e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) 4.196479999999509 y[1] (numeric) 4.196479999999884 absolute error 3.7481129311345285e-13 relative error 8.931563908644785e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) 4.215779999999506 y[1] (numeric) 4.215779999999883 absolute error 3.774758283725532e-13 relative error 8.953878721674221e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) 4.235119999999503 y[1] (numeric) 4.235119999999882 absolute error 3.7925218521195347e-13 relative error 8.95493363144369e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) 4.254499999999499 y[1] (numeric) 4.254499999999881 absolute error 3.8191672047105385e-13 relative error 8.976770959480522e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) 4.273919999999496 y[1] (numeric) 4.2739199999998805 absolute error 3.8458125573015423e-13 relative error 8.99832602693077e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) 4.293379999999493 y[1] (numeric) 4.293379999999879 absolute error 3.863576125695545e-13 relative error 8.998914900838037e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) 4.31287999999949 y[1] (numeric) 4.312879999999878 absolute error 3.8813396940895473e-13 relative error 8.999414994365728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) 4.3324199999994875 y[1] (numeric) 4.332419999999877 absolute error 3.89910326248355e-13 relative error 8.999827492449972e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) 4.351999999999483 y[1] (numeric) 4.351999999999876 absolute error 3.9257486150745535e-13 relative error 9.020562075080468e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) 4.3716199999994805 y[1] (numeric) 4.371619999999875 absolute error 3.943512183468556e-13 relative error 9.020711277441828e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) 4.391279999999478 y[1] (numeric) 4.391279999999874 absolute error 3.9612757518625585e-13 relative error 9.02077697587726e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) 4.4109799999994745 y[1] (numeric) 4.4109799999998724 absolute error 3.979039320256561e-13 relative error 9.02076028514533e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) 4.430719999999471 y[1] (numeric) 4.430719999999872 absolute error 4.014566457044566e-13 relative error 9.060754137126801e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) 4.450499999999467 y[1] (numeric) 4.45049999999987 absolute error 4.0323300254385686e-13 relative error 9.060397765282668e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) 4.4703199999994645 y[1] (numeric) 4.4703199999998695 absolute error 4.050093593832571e-13 relative error 9.059963478751088e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) 4.4901799999994605 y[1] (numeric) 4.490179999999868 absolute error 4.076738946423575e-13 relative error 9.079232784485398e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) 4.510079999999458 y[1] (numeric) 4.510079999999867 absolute error 4.0945025148175773e-13 relative error 9.078558506319333e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) 4.530019999999455 y[1] (numeric) 4.530019999999865 absolute error 4.1033842990145786e-13 relative error 9.058203493616081e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) 4.549999999999451 y[1] (numeric) 4.549999999999865 absolute error 4.1389114358025836e-13 relative error 9.096508650116667e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) 4.570019999999448 y[1] (numeric) 4.570019999999863 absolute error 4.147793219999585e-13 relative error 9.076094240287977e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) 4.590079999999444 y[1] (numeric) 4.590079999999862 absolute error 4.1744385725905886e-13 relative error 9.094478903616264e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) 4.610179999999441 y[1] (numeric) 4.61017999999986 absolute error 4.192202140984591e-13 relative error 9.093358916539266e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) 4.630319999999438 y[1] (numeric) 4.630319999999859 absolute error 4.2099657093785936e-13 relative error 9.092170107852384e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) 4.650499999999434 y[1] (numeric) 4.650499999999858 absolute error 4.2366110619695974e-13 relative error 9.110011959940034e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) 4.670719999999431 y[1] (numeric) 4.670719999999857 absolute error 4.263256414560601e-13 relative error 9.127621468555427e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) 4.690979999999428 y[1] (numeric) 4.690979999999856 absolute error 4.2810199829546036e-13 relative error 9.126067437838417e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) 4.711279999999425 y[1] (numeric) 4.711279999999856 absolute error 4.3076653355456074e-13 relative error 9.143301471248011e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) 4.73161999999942 y[1] (numeric) 4.731619999999854 absolute error 4.334310688136611e-13 relative error 9.160310185807697e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) 4.751999999999418 y[1] (numeric) 4.751999999999853 absolute error 4.3520742565306136e-13 relative error 9.158405421993153e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) 4.772419999999414 y[1] (numeric) 4.772419999999852 absolute error 4.3787196091216174e-13 relative error 9.175050831909502e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) 4.7928799999994105 y[1] (numeric) 4.792879999999851 absolute error 4.405364961712621e-13 relative error 9.191477695484057e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) 4.813379999999407 y[1] (numeric) 4.81337999999985 absolute error 4.432010314303625e-13 relative error 9.207688390079676e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) 4.833919999999404 y[1] (numeric) 4.833919999999849 absolute error 4.4497738826976274e-13 relative error 9.20531138847597e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) 4.854499999999401 y[1] (numeric) 4.854499999999848 absolute error 4.46753745109163e-13 relative error 9.202878671525762e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) 4.875119999999397 y[1] (numeric) 4.875119999999847 absolute error 4.503064587879635e-13 relative error 9.236828196803754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) 4.895779999999394 y[1] (numeric) 4.895779999999846 absolute error 4.5208281562736374e-13 relative error 9.23413257187659e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) 4.916479999999391 y[1] (numeric) 4.9164799999998445 absolute error 4.53859172466764e-13 relative error 9.231384495956868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) 4.937219999999387 y[1] (numeric) 4.937219999999844 absolute error 4.565237077258644e-13 relative error 9.24657413941289e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) 4.957999999999384 y[1] (numeric) 4.957999999999842 absolute error 4.583000645652646e-13 relative error 9.243647933951626e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) 4.97881999999938 y[1] (numeric) 4.978819999999842 absolute error 4.618527782440651e-13 relative error 9.276350184262991e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) 4.999679999999376 y[1] (numeric) 4.99967999999984 absolute error 4.636291350834654e-13 relative error 9.2731761849463e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) 5.020579999999373 y[1] (numeric) 5.020579999999839 absolute error 4.662936703425657e-13 relative error 9.287645458146747e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) 5.04151999999937 y[1] (numeric) 5.041519999999838 absolute error 4.68070027181966e-13 relative error 9.28430368583333e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) 5.062499999999366 y[1] (numeric) 5.062499999999837 absolute error 4.707345624410664e-13 relative error 9.298460492664205e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) 5.083519999999362 y[1] (numeric) 5.083519999999835 absolute error 4.725109192804666e-13 relative error 9.294955449777436e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) 5.104579999999359 y[1] (numeric) 5.104579999999834 absolute error 4.75175454539567e-13 relative error 9.308806102355662e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) 5.125679999999355 y[1] (numeric) 5.125679999999832 absolute error 4.769518113789672e-13 relative error 9.305142173897458e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) 5.146819999999352 y[1] (numeric) 5.146819999999831 absolute error 4.796163466380676e-13 relative error 9.31869283631695e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) 5.167999999999348 y[1] (numeric) 5.16799999999983 absolute error 4.813927034774679e-13 relative error 9.314874293295831e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) 5.189219999999345 y[1] (numeric) 5.189219999999828 absolute error 4.831690603168681e-13 relative error 9.311015149038374e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) 5.210479999999341 y[1] (numeric) 5.210479999999827 absolute error 4.858335955759685e-13 relative error 9.324161988454612e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) 5.231779999999338 y[1] (numeric) 5.231779999999826 absolute error 4.876099524153688e-13 relative error 9.320153989950465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) 5.253119999999334 y[1] (numeric) 5.253119999999824 absolute error 4.902744876744691e-13 relative error 9.333015192391023e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) 5.27449999999933 y[1] (numeric) 5.274499999999823 absolute error 4.929390229335695e-13 relative error 9.345701449116164e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) 5.2959199999993265 y[1] (numeric) 5.295919999999821 absolute error 4.947153797729698e-13 relative error 9.341443597581396e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) 5.317379999999323 y[1] (numeric) 5.31737999999982 absolute error 4.9649173661237e-13 relative error 9.337149810854842e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) 5.338879999999319 y[1] (numeric) 5.338879999999818 absolute error 4.991562718714704e-13 relative error 9.349456662662095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) 5.360419999999316 y[1] (numeric) 5.360419999999817 absolute error 5.018208071305708e-13 relative error 9.36159493343124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) 5.381999999999312 y[1] (numeric) 5.381999999999817 absolute error 5.044853423896711e-13 relative error 9.373566376620877e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) 5.403619999999308 y[1] (numeric) 5.403619999999815 absolute error 5.071498776487715e-13 relative error 9.385372725114579e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) 5.425279999999304 y[1] (numeric) 5.425279999999814 absolute error 5.098144129078719e-13 relative error 9.397015691502322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) 5.446979999999301 y[1] (numeric) 5.446979999999813 absolute error 5.124789481669723e-13 relative error 9.408496968357475e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) 5.468719999999298 y[1] (numeric) 5.468719999999812 absolute error 5.142553050063725e-13 relative error 9.403577162598169e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) 5.490499999999294 y[1] (numeric) 5.490499999999811 absolute error 5.169198402654729e-13 relative error 9.414804485302602e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) 5.51231999999929 y[1] (numeric) 5.51231999999981 absolute error 5.195843755245733e-13 relative error 9.425874686604555e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) 5.534179999999287 y[1] (numeric) 5.534179999999808 absolute error 5.213607323639735e-13 relative error 9.420740423405829e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) 5.556079999999282 y[1] (numeric) 5.556079999999808 absolute error 5.258016244624741e-13 relative error 9.463535882538446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) 5.578019999999279 y[1] (numeric) 5.578019999999806 absolute error 5.266898028821743e-13 relative error 9.44223582708994e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) 5.599999999999275 y[1] (numeric) 5.599999999999805 absolute error 5.302425165609748e-13 relative error 9.46861636716149e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) 5.6220199999992815 y[1] (numeric) 5.622019999999804 absolute error 5.222489107836736e-13 relative error 9.28934636987667e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) 5.644079999999287 y[1] (numeric) 5.644079999999803 absolute error 5.160316618457728e-13 relative error 9.142883549592458e-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) 5.666179999999294 y[1] (numeric) 5.666179999999801 absolute error 5.071498776487715e-13 relative error 8.950472410845309e-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) 5.688319999999299 y[1] (numeric) 5.6883199999998 absolute error 5.009326287108706e-13 relative error 8.806336997759134e-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) 5.710499999999305 y[1] (numeric) 5.710499999999798 absolute error 4.929390229335695e-13 relative error 8.632151701840986e-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) 5.732719999999311 y[1] (numeric) 5.732719999999797 absolute error 4.858335955759685e-13 relative error 8.474748384292742e-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) 5.754979999999318 y[1] (numeric) 5.7549799999997955 absolute error 4.778399897986674e-13 relative error 8.303069511948331e-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) 5.777279999999324 y[1] (numeric) 5.777279999999794 absolute error 4.698463840213662e-13 relative error 8.132657306230981e-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) 5.79961999999933 y[1] (numeric) 5.799619999999793 absolute error 4.627409566637652e-13 relative error 7.978815106227971e-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) 5.821999999999337 y[1] (numeric) 5.821999999999792 absolute error 4.556355293061642e-13 relative error 7.826099781968674e-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) 5.844419999999343 y[1] (numeric) 5.844419999999791 absolute error 4.476419235288631e-13 relative error 7.659304490931751e-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) 5.86687999999935 y[1] (numeric) 5.8668799999997905 absolute error 4.405364961712621e-13 relative error 7.5088717712193e-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) 5.889379999999356 y[1] (numeric) 5.889379999999789 absolute error 4.32542890393961e-13 relative error 7.344455450217312e-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) 5.911919999999363 y[1] (numeric) 5.911919999999788 absolute error 4.2543746303636e-13 relative error 7.1962655623960716e-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) 5.934499999999368 y[1] (numeric) 5.934499999999787 absolute error 4.18332035678759e-13 relative error 7.0491538575921055e-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) 5.9571199999993745 y[1] (numeric) 5.957119999999786 absolute error 4.11226608321158e-13 relative error 6.90311103891144e-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) 5.979779999999382 y[1] (numeric) 5.979779999999785 absolute error 4.0323300254385686e-13 relative error 6.743274878739662e-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) 6.002479999999387 y[1] (numeric) 6.0024799999997835 absolute error 3.9612757518625585e-13 relative error 6.599398501724225e-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) 6.025219999999394 y[1] (numeric) 6.025219999999782 absolute error 3.8813396940895473e-13 relative error 6.4418223634820595e-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) 6.047999999999401 y[1] (numeric) 6.0479999999997816 absolute error 3.801403636316536e-13 relative error 6.285389610312355e-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) 6.070819999999408 y[1] (numeric) 6.07081999999978 absolute error 3.7214675785435247e-13 relative error 6.130090463139885e-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) 6.093679999999415 y[1] (numeric) 6.093679999999779 absolute error 3.6415315207705135e-13 relative error 5.975915244599098e-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) 6.116579999999421 y[1] (numeric) 6.116579999999778 absolute error 3.5704772471945034e-13 relative error 5.8373752116294425e-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) 6.139519999999427 y[1] (numeric) 6.139519999999776 absolute error 3.490541189421492e-13 relative error 5.685364962443021e-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) 6.162499999999435 y[1] (numeric) 6.162499999999776 absolute error 3.410605131648481e-13 relative error 5.534450517888509e-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) 6.185519999999441 y[1] (numeric) 6.185519999999775 absolute error 3.339550858072471e-13 relative error 5.398981586144371e-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) 6.208579999999447 y[1] (numeric) 6.208579999999774 absolute error 3.268496584496461e-13 relative error 5.26448331904679e-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) 6.2316799999994545 y[1] (numeric) 6.231679999999773 absolute error 3.1885605267234496e-13 relative error 5.116694898845462e-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) 6.2548199999994605 y[1] (numeric) 6.254819999999772 absolute error 3.1175062531474396e-13 relative error 4.984166216050515e-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) 6.277999999999468 y[1] (numeric) 6.277999999999771 absolute error 3.0375701953744283e-13 relative error 4.83843611878733e-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) 6.301219999999475 y[1] (numeric) 6.301219999999771 absolute error 2.957634137601417e-13 relative error 4.693748413167075e-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) 6.324479999999482 y[1] (numeric) 6.324479999999769 absolute error 2.877698079828406e-13 relative error 4.5500943632182276e-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) 6.347779999999489 y[1] (numeric) 6.347779999999769 absolute error 2.8066438062523957e-13 relative error 4.4214572752247585e-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) 6.371119999999495 y[1] (numeric) 6.371119999999768 absolute error 2.7267077484793845e-13 relative error 4.2797934248289164e-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) 6.3944999999995025 y[1] (numeric) 6.394499999999767 absolute error 2.646771690706373e-13 relative error 4.139137838308827e-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) 6.417919999999509 y[1] (numeric) 6.417919999999766 absolute error 2.566835632933362e-13 relative error 3.999482126504472e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) 6.4413799999995165 y[1] (numeric) 6.441379999999765 absolute error 2.4868995751603507e-13 relative error 3.86081798490469e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) 6.464879999999523 y[1] (numeric) 6.464879999999764 absolute error 2.4069635173873394e-13 relative error 3.723137192627732e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 6.488419999999531 y[1] (numeric) 6.488419999999763 absolute error 2.327027459614328e-13 relative error 3.586431611416179e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 6.511999999999538 y[1] (numeric) 6.511999999999762 absolute error 2.2470914018413168e-13 relative error 3.450693184646002e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) 6.535619999999545 y[1] (numeric) 6.535619999999763 absolute error 2.1760371282653068e-13 relative error 3.329503747564054e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 6.559279999999552 y[1] (numeric) 6.559279999999761 absolute error 2.0961010704922955e-13 relative error 3.1956267616147487e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 6.582979999999559 y[1] (numeric) 6.582979999999761 absolute error 2.0250467969162855e-13 relative error 3.0761855526166286e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 6.606719999999566 y[1] (numeric) 6.60671999999976 absolute error 1.9451107391432743e-13 relative error 2.9441398139218886e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) 6.630499999999573 y[1] (numeric) 6.63049999999976 absolute error 1.865174681370263e-13 relative error 2.8130226700405445e-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) 6.654319999999581 y[1] (numeric) 6.654319999999759 absolute error 1.7763568394002505e-13 relative error 2.669479134457559e-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) 6.678179999999588 y[1] (numeric) 6.678179999999759 absolute error 1.7053025658242404e-13 relative error 2.5535438784584206e-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) 6.7020799999995955 y[1] (numeric) 6.702079999999757 absolute error 1.616484723854228e-13 relative error 2.411914993336883e-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) 6.726019999999602 y[1] (numeric) 6.726019999999757 absolute error 1.545430450278218e-13 relative error 2.297689347159701e-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) 6.74999999999961 y[1] (numeric) 6.749999999999756 absolute error 1.4566126083082054e-13 relative error 2.1579446049011698e-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) 6.774019999999617 y[1] (numeric) 6.774019999999755 absolute error 1.376676550535194e-13 relative error 2.032288878000466e-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) 6.798079999999625 y[1] (numeric) 6.7980799999997545 absolute error 1.2967404927621828e-13 relative error 1.9075099039173623e-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) 6.822179999999632 y[1] (numeric) 6.822179999999753 absolute error 1.2168044349891716e-13 relative error 1.7836006012583034e-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) 6.84631999999964 y[1] (numeric) 6.846319999999753 absolute error 1.127986593019159e-13 relative error 1.6475808799752543e-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) 6.870499999999647 y[1] (numeric) 6.870499999999753 absolute error 1.056932319443149e-13 relative error 1.5383630295367198e-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) 6.894719999999655 y[1] (numeric) 6.894719999999752 absolute error 9.681144774731365e-14 relative error 1.404138931636361e-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) 6.918979999999662 y[1] (numeric) 6.918979999999752 absolute error 8.970602038971265e-14 relative error 1.2965208800967344e-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) 6.943279999999669 y[1] (numeric) 6.943279999999751 absolute error 8.171241461241152e-14 relative error 1.1768561056505775e-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) 6.967619999999677 y[1] (numeric) 6.967619999999751 absolute error 7.37188088351104e-14 relative error 1.0580199384454635e-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) 6.991999999999685 y[1] (numeric) 6.99199999999975 absolute error 6.572520305780927e-14 relative error 9.400057645568112e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) 7.016419999999693 y[1] (numeric) 7.01641999999975 absolute error 5.684341886080802e-14 relative error 8.101484640430662e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) 7.0408799999997 y[1] (numeric) 7.040879999999749 absolute error 4.884981308350689e-14 relative error 6.938026650576202e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) 7.065379999999708 y[1] (numeric) 7.065379999999749 absolute error 4.085620730620576e-14 relative error 5.782591637846435e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) 7.089919999999716 y[1] (numeric) 7.089919999999748 absolute error 3.197442310920451e-14 relative error 4.5098425806223185e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) 7.114499999999723 y[1] (numeric) 7.114499999999747 absolute error 2.398081733190338e-14 relative error 3.3706960899436805e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) 7.139119999999731 y[1] (numeric) 7.139119999999747 absolute error 1.5987211554602254e-14 relative error 2.2393812619206367e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) 7.163779999999739 y[1] (numeric) 7.163779999999746 absolute error 7.105427357601002e-15 relative error 9.918544898923837e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) 7.188479999999747 y[1] (numeric) 7.188479999999746 absolute error 8.881784197001252e-16 relative error 1.2355580313225557e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) 7.213219999999755 y[1] (numeric) 7.213219999999746 absolute error 8.881784197001252e-15 relative error 1.2313202975926916e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) 7.237999999999762 y[1] (numeric) 7.2379999999997455 absolute error 1.687538997430238e-14 relative error 2.331499029331712e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) 7.2628199999997705 y[1] (numeric) 7.262819999999746 absolute error 2.4868995751603507e-14 relative error 3.4241514661803945e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) 7.287679999999779 y[1] (numeric) 7.287679999999745 absolute error 3.375077994860476e-14 relative error 4.631210474198343e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) 7.3125799999997865 y[1] (numeric) 7.312579999999745 absolute error 4.1744385725905886e-14 relative error 5.70857149267524e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) 7.337519999999794 y[1] (numeric) 7.337519999999745 absolute error 4.973799150320701e-14 relative error 6.778583431896391e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) 7.362499999999803 y[1] (numeric) 7.362499999999744 absolute error 5.861977570020827e-14 relative error 7.961938974561608e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) 7.38751999999981 y[1] (numeric) 7.3875199999997445 absolute error 6.572520305780927e-14 relative error 8.896788510597732e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) 7.412579999999818 y[1] (numeric) 7.4125799999997435 absolute error 7.460698725481052e-14 relative error 1.0064914949290579e-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) 7.437679999999826 y[1] (numeric) 7.437679999999744 absolute error 8.260059303211165e-14 relative error 1.1105693311908227e-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) 7.462819999999835 y[1] (numeric) 7.462819999999743 absolute error 9.14823772291129e-14 relative error 1.2258419368163098e-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) 7.487999999999843 y[1] (numeric) 7.487999999999743 absolute error 1.0036416142611415e-13 relative error 1.3403333523786892e-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) 7.513219999999851 y[1] (numeric) 7.513219999999742 absolute error 1.092459456231154e-13 relative error 1.4540496035403936e-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) 7.5384799999998595 y[1] (numeric) 7.538479999999742 absolute error 1.1723955140041653e-13 relative error 1.5552147302960108e-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) 7.563779999999867 y[1] (numeric) 7.563779999999741 absolute error 1.2612133559741778e-13 relative error 1.6674379159285437e-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) 7.589119999999876 y[1] (numeric) 7.589119999999742 absolute error 1.341149413747189e-13 relative error 1.7672001678023421e-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) 7.614499999999884 y[1] (numeric) 7.614499999999741 absolute error 1.4299672557172016e-13 relative error 1.8779529262817303e-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) 7.639919999999893 y[1] (numeric) 7.639919999999742 absolute error 1.509903313490213e-13 relative error 1.9763339321488105e-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) 7.6653799999999 y[1] (numeric) 7.665379999999741 absolute error 1.5898393712632242e-13 relative error 2.074051607700133e-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) 7.690879999999909 y[1] (numeric) 7.6908799999997415 absolute error 1.6786572132332367e-13 relative error 2.1826594788024992e-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) 7.716419999999918 y[1] (numeric) 7.716419999999741 absolute error 1.7674750552032492e-13 relative error 2.2905376524389137e-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) 7.741999999999926 y[1] (numeric) 7.7419999999997415 absolute error 1.8474111129762605e-13 relative error 2.3862194690987833e-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) 7.767619999999934 y[1] (numeric) 7.767619999999741 absolute error 1.936228954946273e-13 relative error 2.4926926844339572e-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) 7.7932799999999425 y[1] (numeric) 7.793279999999741 absolute error 2.0161650127192843e-13 relative error 2.587055787446748e-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) 7.818979999999951 y[1] (numeric) 7.8189799999997405 absolute error 2.1049828546892968e-13 relative error 2.6921450811861776e-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) 7.84471999999996 y[1] (numeric) 7.84471999999974 absolute error 2.1938006966593093e-13 relative error 2.796531548174212e-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) 7.870499999999969 y[1] (numeric) 7.8704999999997405 absolute error 2.282618538629322e-13 relative error 2.9002204925091556e-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) 7.896319999999977 y[1] (numeric) 7.89631999999974 absolute error 2.3714363805993344e-13 relative error 3.0032171702759527e-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) 7.922179999999986 y[1] (numeric) 7.92217999999974 absolute error 2.460254222569347e-13 relative error 3.1055267900620172e-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) 7.948079999999994 y[1] (numeric) 7.94807999999974 absolute error 2.540190280342358e-13 relative error 3.195979759064277e-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) 7.974020000000003 y[1] (numeric) 7.974019999999739 absolute error 2.637889906509372e-13 relative error 3.308105455603787e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Finished! diff ( y , x , 1 ) = 2.0 * ( 0.2 * x + 0.3 ) ; Iterations 4900 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.0204081632654%