##############ECHO OF PROBLEM################# ##############temp/sin_backpostode.ode################# diff ( y , x , 1 ) = sin ( x ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(-0.1); x_end=c(-1.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=false; glob_h=c(0.001); glob_display_interval=c(0.01); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(c(2.0) - cos(c(x))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -0.101 y[1] (closed_form) = 1.005096165624023 y[1] (numeric) = 1.005096165624023 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.102 y[1] (closed_form) = 1.005197491429824 y[1] (numeric) = 1.005197491429824 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.103 y[1] (closed_form) = 1.00529981203805 y[1] (numeric) = 1.00529981203805 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.104 y[1] (closed_form) = 1.005403127346381 y[1] (numeric) = 1.005403127346381 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.105 y[1] (closed_form) = 1.005507437251503 y[1] (numeric) = 1.005507437251502 absolute error = 2.220446049250313e-16 relative error = 2.208284063337986e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.106 y[1] (closed_form) = 1.005612741649104 y[1] (numeric) = 1.005612741649103 absolute error = 2.220446049250313e-16 relative error = 2.208052819228409e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.107 y[1] (closed_form) = 1.00571904043388 y[1] (numeric) = 1.00571904043388 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.108 y[1] (closed_form) = 1.005826333499533 y[1] (numeric) = 1.005826333499533 absolute error = 2.220446049250313e-16 relative error = 2.207583929051449e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.109 y[1] (closed_form) = 1.00593462073877 y[1] (numeric) = 1.00593462073877 absolute error = 2.220446049250313e-16 relative error = 2.207346286202568e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.11 y[1] (closed_form) = 1.006043902043303 y[1] (numeric) = 1.006043902043303 absolute error = 2.220446049250313e-16 relative error = 2.20710651368248e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.111 y[1] (closed_form) = 1.006154177303852 y[1] (numeric) = 1.006154177303851 absolute error = 2.220446049250313e-16 relative error = 2.206864613135482e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.112 y[1] (closed_form) = 1.00626544641014 y[1] (numeric) = 1.00626544641014 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.113 y[1] (closed_form) = 1.006377709250899 y[1] (numeric) = 1.006377709250899 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.114 y[1] (closed_form) = 1.006490965713866 y[1] (numeric) = 1.006490965713866 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.115 y[1] (closed_form) = 1.006605215685784 y[1] (numeric) = 1.006605215685784 absolute error = 2.220446049250313e-16 relative error = 2.205875764052701e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.116 y[1] (closed_form) = 1.006720459052404 y[1] (numeric) = 1.006720459052404 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.117 y[1] (closed_form) = 1.006836695698482 y[1] (numeric) = 1.006836695698482 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.118 y[1] (closed_form) = 1.006953925507782 y[1] (numeric) = 1.006953925507782 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.119 y[1] (closed_form) = 1.007072148363073 y[1] (numeric) = 1.007072148363073 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.12 y[1] (closed_form) = 1.007191364146134 y[1] (numeric) = 1.007191364146134 absolute error = 2.220446049250313e-16 relative error = 2.204592025203413e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.121 y[1] (closed_form) = 1.007311572737747 y[1] (numeric) = 1.007311572737747 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.122 y[1] (closed_form) = 1.007432774017705 y[1] (numeric) = 1.007432774017705 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.123 y[1] (closed_form) = 1.007554967864806 y[1] (numeric) = 1.007554967864806 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.124 y[1] (closed_form) = 1.007678154156857 y[1] (numeric) = 1.007678154156857 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.125 y[1] (closed_form) = 1.007802332770671 y[1] (numeric) = 1.007802332770671 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.126 y[1] (closed_form) = 1.007927503582069 y[1] (numeric) = 1.007927503582069 absolute error = 2.220446049250313e-16 relative error = 2.202981902328371e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.127 y[1] (closed_form) = 1.008053666465881 y[1] (numeric) = 1.008053666465881 absolute error = 2.220446049250313e-16 relative error = 2.202706188287512e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.128 y[1] (closed_form) = 1.008180821295944 y[1] (numeric) = 1.008180821295944 absolute error = 2.220446049250313e-16 relative error = 2.202428376286794e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.129 y[1] (closed_form) = 1.008308967945104 y[1] (numeric) = 1.008308967945103 absolute error = 4.440892098500626e-16 relative error = 4.404296936435069e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.13 y[1] (closed_form) = 1.008438106285212 y[1] (numeric) = 1.008438106285212 absolute error = 2.220446049250313e-16 relative error = 2.201866465984492e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.131 y[1] (closed_form) = 1.008568236187132 y[1] (numeric) = 1.008568236187131 absolute error = 2.220446049250313e-16 relative error = 2.201582371505826e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.132 y[1] (closed_form) = 1.008699357520732 y[1] (numeric) = 1.008699357520732 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.133 y[1] (closed_form) = 1.008831470154893 y[1] (numeric) = 1.008831470154893 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.134 y[1] (closed_form) = 1.008964573957501 y[1] (numeric) = 1.008964573957501 absolute error = 2.220446049250313e-16 relative error = 2.200717553978106e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.135 y[1] (closed_form) = 1.009098668795452 y[1] (numeric) = 1.009098668795452 absolute error = 2.220446049250313e-16 relative error = 2.20042510996554e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.136 y[1] (closed_form) = 1.009233754534652 y[1] (numeric) = 1.009233754534652 absolute error = 2.220446049250313e-16 relative error = 2.200130583498111e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.137 y[1] (closed_form) = 1.009369831040015 y[1] (numeric) = 1.009369831040015 absolute error = 2.220446049250313e-16 relative error = 2.199833976573733e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.138 y[1] (closed_form) = 1.009506898175464 y[1] (numeric) = 1.009506898175464 absolute error = 2.220446049250313e-16 relative error = 2.199535291203501e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.139 y[1] (closed_form) = 1.009644955803933 y[1] (numeric) = 1.009644955803933 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.14 y[1] (closed_form) = 1.009784003787363 y[1] (numeric) = 1.009784003787363 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.141 y[1] (closed_form) = 1.009924041986707 y[1] (numeric) = 1.009924041986707 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.142 y[1] (closed_form) = 1.010065070261926 y[1] (numeric) = 1.010065070261926 absolute error = 2.220446049250313e-16 relative error = 2.19831980594529e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.143 y[1] (closed_form) = 1.010207088471993 y[1] (numeric) = 1.010207088471993 absolute error = 2.220446049250313e-16 relative error = 2.198010758971103e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.144 y[1] (closed_form) = 1.010350096474888 y[1] (numeric) = 1.010350096474889 absolute error = 2.220446049250313e-16 relative error = 2.197699645892498e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.145 y[1] (closed_form) = 1.010494094127605 y[1] (numeric) = 1.010494094127605 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.146 y[1] (closed_form) = 1.010639081286145 y[1] (numeric) = 1.010639081286145 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.147 y[1] (closed_form) = 1.010785057805522 y[1] (numeric) = 1.010785057805522 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.148 y[1] (closed_form) = 1.010932023539758 y[1] (numeric) = 1.010932023539758 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.149 y[1] (closed_form) = 1.011079978341888 y[1] (numeric) = 1.011079978341888 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.15 y[1] (closed_form) = 1.011228922063958 y[1] (numeric) = 1.011228922063958 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1510000000000001 y[1] (closed_form) = 1.011378854557023 y[1] (numeric) = 1.011378854557023 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1520000000000001 y[1] (closed_form) = 1.011529775671151 y[1] (numeric) = 1.011529775671151 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1530000000000001 y[1] (closed_form) = 1.011681685255421 y[1] (numeric) = 1.011681685255421 absolute error = 2.220446049250313e-16 relative error = 2.194807004625881e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1540000000000001 y[1] (closed_form) = 1.011834583157923 y[1] (numeric) = 1.011834583157923 absolute error = 2.220446049250313e-16 relative error = 2.194475348253396e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1550000000000001 y[1] (closed_form) = 1.01198846922576 y[1] (numeric) = 1.01198846922576 absolute error = 2.220446049250313e-16 relative error = 2.194141649607041e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1560000000000001 y[1] (closed_form) = 1.012143343305046 y[1] (numeric) = 1.012143343305046 absolute error = 2.220446049250313e-16 relative error = 2.193805910929261e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1570000000000001 y[1] (closed_form) = 1.012299205240905 y[1] (numeric) = 1.012299205240905 absolute error = 2.220446049250313e-16 relative error = 2.193468134475019e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1580000000000001 y[1] (closed_form) = 1.012456054877477 y[1] (numeric) = 1.012456054877478 absolute error = 2.220446049250313e-16 relative error = 2.193128322511757e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1590000000000001 y[1] (closed_form) = 1.012613892057912 y[1] (numeric) = 1.012613892057913 absolute error = 2.220446049250313e-16 relative error = 2.192786477319357e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1600000000000001 y[1] (closed_form) = 1.012772716624373 y[1] (numeric) = 1.012772716624373 absolute error = 2.220446049250313e-16 relative error = 2.192442601190108e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1610000000000001 y[1] (closed_form) = 1.012932528418035 y[1] (numeric) = 1.012932528418035 absolute error = 4.440892098500626e-16 relative error = 4.384193392857338e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1620000000000001 y[1] (closed_form) = 1.013093327279086 y[1] (numeric) = 1.013093327279086 absolute error = 2.220446049250313e-16 relative error = 2.191748765352026e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1630000000000001 y[1] (closed_form) = 1.013255113046728 y[1] (numeric) = 1.013255113046728 absolute error = 2.220446049250313e-16 relative error = 2.191398810289462e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1640000000000001 y[1] (closed_form) = 1.013417885559174 y[1] (numeric) = 1.013417885559174 absolute error = 2.220446049250313e-16 relative error = 2.191046833582513e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1650000000000001 y[1] (closed_form) = 1.013581644653652 y[1] (numeric) = 1.013581644653653 absolute error = 2.220446049250313e-16 relative error = 2.190692837584933e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1660000000000001 y[1] (closed_form) = 1.013746390166404 y[1] (numeric) = 1.013746390166404 absolute error = 2.220446049250313e-16 relative error = 2.190336824662658e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1670000000000001 y[1] (closed_form) = 1.013912121932683 y[1] (numeric) = 1.013912121932683 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1680000000000001 y[1] (closed_form) = 1.014078839786758 y[1] (numeric) = 1.014078839786759 absolute error = 2.220446049250313e-16 relative error = 2.189618757568426e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1690000000000001 y[1] (closed_form) = 1.014246543561912 y[1] (numeric) = 1.014246543561912 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1700000000000001 y[1] (closed_form) = 1.014415233090439 y[1] (numeric) = 1.014415233090439 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1710000000000001 y[1] (closed_form) = 1.014584908203652 y[1] (numeric) = 1.014584908203652 absolute error = 2.220446049250313e-16 relative error = 2.1885265898363e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1720000000000001 y[1] (closed_form) = 1.014755568731874 y[1] (numeric) = 1.014755568731874 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1730000000000001 y[1] (closed_form) = 1.014927214504445 y[1] (numeric) = 1.014927214504445 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1740000000000001 y[1] (closed_form) = 1.015099845349719 y[1] (numeric) = 1.015099845349719 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1750000000000001 y[1] (closed_form) = 1.015273461095067 y[1] (numeric) = 1.015273461095066 absolute error = 2.220446049250313e-16 relative error = 2.187042343109566e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1760000000000001 y[1] (closed_form) = 1.01544806156687 y[1] (numeric) = 1.01544806156687 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1770000000000001 y[1] (closed_form) = 1.015623646590531 y[1] (numeric) = 1.015623646590531 absolute error = 2.220446049250313e-16 relative error = 2.18628825422133e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1780000000000001 y[1] (closed_form) = 1.015800215990463 y[1] (numeric) = 1.015800215990463 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1790000000000001 y[1] (closed_form) = 1.015977769590096 y[1] (numeric) = 1.015977769590096 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1800000000000001 y[1] (closed_form) = 1.016156307211879 y[1] (numeric) = 1.016156307211879 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1810000000000001 y[1] (closed_form) = 1.016335828677271 y[1] (numeric) = 1.016335828677272 absolute error = 2.220446049250313e-16 relative error = 2.184756245521869e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1820000000000001 y[1] (closed_form) = 1.016516333806754 y[1] (numeric) = 1.016516333806754 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1830000000000001 y[1] (closed_form) = 1.01669782241982 y[1] (numeric) = 1.016697822419821 absolute error = 2.220446049250313e-16 relative error = 2.18397836632076e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1840000000000001 y[1] (closed_form) = 1.016880294334983 y[1] (numeric) = 1.016880294334983 absolute error = 2.220446049250313e-16 relative error = 2.183586466981776e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1850000000000001 y[1] (closed_form) = 1.017063749369769 y[1] (numeric) = 1.017063749369769 absolute error = 2.220446049250313e-16 relative error = 2.183192597933246e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1860000000000001 y[1] (closed_form) = 1.017248187340723 y[1] (numeric) = 1.017248187340723 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1870000000000001 y[1] (closed_form) = 1.017433608063409 y[1] (numeric) = 1.017433608063409 absolute error = 2.220446049250313e-16 relative error = 2.182398961124086e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1880000000000001 y[1] (closed_form) = 1.017620011352404 y[1] (numeric) = 1.017620011352404 absolute error = 2.220446049250313e-16 relative error = 2.181999198600044e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1890000000000001 y[1] (closed_form) = 1.017807397021306 y[1] (numeric) = 1.017807397021307 absolute error = 2.220446049250313e-16 relative error = 2.181597476839551e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1900000000000001 y[1] (closed_form) = 1.01799576488273 y[1] (numeric) = 1.01799576488273 absolute error = 4.440892098500626e-16 relative error = 4.362387596978073e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1910000000000001 y[1] (closed_form) = 1.018185114748306 y[1] (numeric) = 1.018185114748307 absolute error = 4.440892098500626e-16 relative error = 4.361576332412213e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1920000000000001 y[1] (closed_form) = 1.018375446428686 y[1] (numeric) = 1.018375446428687 absolute error = 4.440892098500626e-16 relative error = 4.36076116531901e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1930000000000001 y[1] (closed_form) = 1.018566759733538 y[1] (numeric) = 1.018566759733539 absolute error = 6.661338147750939e-16 relative error = 6.539913151587213e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1940000000000001 y[1] (closed_form) = 1.018759054471549 y[1] (numeric) = 1.018759054471549 absolute error = 4.440892098500626e-16 relative error = 4.359119145011387e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1950000000000001 y[1] (closed_form) = 1.018952330450423 y[1] (numeric) = 1.018952330450423 absolute error = 6.661338147750939e-16 relative error = 6.537438453873823e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1960000000000001 y[1] (closed_form) = 1.019146587476885 y[1] (numeric) = 1.019146587476885 absolute error = 6.661338147750939e-16 relative error = 6.536192368796041e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1970000000000001 y[1] (closed_form) = 1.019341825356678 y[1] (numeric) = 1.019341825356678 absolute error = 4.440892098500626e-16 relative error = 4.356626980303409e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1980000000000001 y[1] (closed_form) = 1.019538043894563 y[1] (numeric) = 1.019538043894564 absolute error = 6.661338147750939e-16 relative error = 6.533682767055068e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.1990000000000001 y[1] (closed_form) = 1.019735242894323 y[1] (numeric) = 1.019735242894324 absolute error = 6.661338147750939e-16 relative error = 6.532419266832446e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2000000000000001 y[1] (closed_form) = 1.019933422158758 y[1] (numeric) = 1.019933422158759 absolute error = 6.661338147750939e-16 relative error = 6.53114997805618e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2010000000000001 y[1] (closed_form) = 1.02013258148969 y[1] (numeric) = 1.020132581489691 absolute error = 6.661338147750939e-16 relative error = 6.529874909027462e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2020000000000001 y[1] (closed_form) = 1.020332720687958 y[1] (numeric) = 1.020332720687959 absolute error = 6.661338147750939e-16 relative error = 6.528594068079614e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2030000000000001 y[1] (closed_form) = 1.020533839553424 y[1] (numeric) = 1.020533839553425 absolute error = 6.661338147750939e-16 relative error = 6.527307463577959e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2040000000000001 y[1] (closed_form) = 1.020735937884969 y[1] (numeric) = 1.02073593788497 absolute error = 6.661338147750939e-16 relative error = 6.526015103919688e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2050000000000001 y[1] (closed_form) = 1.020939015480495 y[1] (numeric) = 1.020939015480496 absolute error = 6.661338147750939e-16 relative error = 6.524716997533732e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2060000000000001 y[1] (closed_form) = 1.021143072136923 y[1] (numeric) = 1.021143072136924 absolute error = 4.440892098500626e-16 relative error = 4.348942101920419e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2070000000000001 y[1] (closed_form) = 1.021348107650198 y[1] (numeric) = 1.021348107650199 absolute error = 6.661338147750939e-16 relative error = 6.522103578452396e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2080000000000001 y[1] (closed_form) = 1.021554121815283 y[1] (numeric) = 1.021554121815284 absolute error = 6.661338147750939e-16 relative error = 6.52078828277239e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2090000000000001 y[1] (closed_form) = 1.021761114426166 y[1] (numeric) = 1.021761114426166 absolute error = 6.661338147750939e-16 relative error = 6.519467274395184e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2100000000000001 y[1] (closed_form) = 1.021969085275852 y[1] (numeric) = 1.021969085275853 absolute error = 8.881784197001252e-16 relative error = 8.690854082541906e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2110000000000001 y[1] (closed_form) = 1.022178034156371 y[1] (numeric) = 1.022178034156372 absolute error = 6.661338147750939e-16 relative error = 6.516808153922722e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2120000000000001 y[1] (closed_form) = 1.022387960858775 y[1] (numeric) = 1.022387960858776 absolute error = 8.881784197001252e-16 relative error = 8.687293412121973e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2130000000000001 y[1] (closed_form) = 1.022598865173136 y[1] (numeric) = 1.022598865173137 absolute error = 8.881784197001252e-16 relative error = 8.68550171478772e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2140000000000001 y[1] (closed_form) = 1.022810746888551 y[1] (numeric) = 1.022810746888552 absolute error = 8.881784197001252e-16 relative error = 8.683702458172392e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2150000000000001 y[1] (closed_form) = 1.023023605793138 y[1] (numeric) = 1.023023605793139 absolute error = 8.881784197001252e-16 relative error = 8.681895653928058e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2160000000000001 y[1] (closed_form) = 1.023237441674037 y[1] (numeric) = 1.023237441674038 absolute error = 8.881784197001252e-16 relative error = 8.680081313747155e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2170000000000001 y[1] (closed_form) = 1.023452254317413 y[1] (numeric) = 1.023452254317414 absolute error = 8.881784197001252e-16 relative error = 8.678259449362313e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2180000000000001 y[1] (closed_form) = 1.023668043508454 y[1] (numeric) = 1.023668043508455 absolute error = 1.110223024625157e-15 relative error = 1.084553759068272e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2190000000000001 y[1] (closed_form) = 1.023884809031369 y[1] (numeric) = 1.02388480903137 absolute error = 1.110223024625157e-15 relative error = 1.084324149388901e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2200000000000001 y[1] (closed_form) = 1.024102550669395 y[1] (numeric) = 1.024102550669396 absolute error = 1.110223024625157e-15 relative error = 1.084093603613691e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2210000000000001 y[1] (closed_form) = 1.024321268204788 y[1] (numeric) = 1.024321268204789 absolute error = 1.332267629550188e-15 relative error = 1.300634547874909e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2220000000000001 y[1] (closed_form) = 1.024540961418832 y[1] (numeric) = 1.024540961418833 absolute error = 1.110223024625157e-15 relative error = 1.08362970972646e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2230000000000001 y[1] (closed_form) = 1.024761630091833 y[1] (numeric) = 1.024761630091834 absolute error = 1.110223024625157e-15 relative error = 1.083396364602044e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2240000000000001 y[1] (closed_form) = 1.024983274003122 y[1] (numeric) = 1.024983274003124 absolute error = 1.332267629550188e-15 relative error = 1.299794507228349e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2250000000000001 y[1] (closed_form) = 1.025205892931057 y[1] (numeric) = 1.025205892931058 absolute error = 1.110223024625157e-15 relative error = 1.082926885497153e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2260000000000001 y[1] (closed_form) = 1.025429486653017 y[1] (numeric) = 1.025429486653018 absolute error = 1.332267629550188e-15 relative error = 1.299228905440085e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2270000000000001 y[1] (closed_form) = 1.025654054945409 y[1] (numeric) = 1.025654054945411 absolute error = 1.332267629550188e-15 relative error = 1.29894443757754e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2280000000000001 y[1] (closed_form) = 1.025879597583666 y[1] (numeric) = 1.025879597583667 absolute error = 1.332267629550188e-15 relative error = 1.298658860833359e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2290000000000001 y[1] (closed_form) = 1.026106114342243 y[1] (numeric) = 1.026106114342245 absolute error = 1.332267629550188e-15 relative error = 1.298372177037656e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2300000000000001 y[1] (closed_form) = 1.026333604994625 y[1] (numeric) = 1.026333604994627 absolute error = 1.332267629550188e-15 relative error = 1.298084388026216e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2310000000000001 y[1] (closed_form) = 1.026562069313321 y[1] (numeric) = 1.026562069313322 absolute error = 1.332267629550188e-15 relative error = 1.29779549564047e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2320000000000001 y[1] (closed_form) = 1.026791507069867 y[1] (numeric) = 1.026791507069868 absolute error = 1.332267629550188e-15 relative error = 1.297505501727466e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2330000000000001 y[1] (closed_form) = 1.027021918034824 y[1] (numeric) = 1.027021918034825 absolute error = 1.554312234475219e-15 relative error = 1.513416809496481e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2340000000000001 y[1] (closed_form) = 1.027253301977782 y[1] (numeric) = 1.027253301977783 absolute error = 1.554312234475219e-15 relative error = 1.513075919525092e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2350000000000001 y[1] (closed_form) = 1.027485658667357 y[1] (numeric) = 1.027485658667359 absolute error = 1.554312234475219e-15 relative error = 1.51273375094223e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2360000000000001 y[1] (closed_form) = 1.027718987871193 y[1] (numeric) = 1.027718987871194 absolute error = 1.554312234475219e-15 relative error = 1.512390305928673e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2370000000000001 y[1] (closed_form) = 1.027953289355959 y[1] (numeric) = 1.027953289355961 absolute error = 1.77635683940025e-15 relative error = 1.728052099053243e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2380000000000001 y[1] (closed_form) = 1.028188562887355 y[1] (numeric) = 1.028188562887357 absolute error = 1.77635683940025e-15 relative error = 1.727656680416569e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2390000000000001 y[1] (closed_form) = 1.028424808230108 y[1] (numeric) = 1.028424808230109 absolute error = 1.554312234475219e-15 relative error = 1.511352334207253e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2400000000000001 y[1] (closed_form) = 1.028662025147971 y[1] (numeric) = 1.028662025147972 absolute error = 1.554312234475219e-15 relative error = 1.511003805405993e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2410000000000001 y[1] (closed_form) = 1.028900213403727 y[1] (numeric) = 1.028900213403729 absolute error = 1.77635683940025e-15 relative error = 1.726461727054994e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2420000000000001 y[1] (closed_form) = 1.02913937275919 y[1] (numeric) = 1.029139372759192 absolute error = 1.77635683940025e-15 relative error = 1.726060518545434e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2430000000000001 y[1] (closed_form) = 1.029379502975199 y[1] (numeric) = 1.029379502975201 absolute error = 1.554312234475219e-15 relative error = 1.509950635293218e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2440000000000001 y[1] (closed_form) = 1.029620603811624 y[1] (numeric) = 1.029620603811626 absolute error = 1.554312234475219e-15 relative error = 1.509597058101987e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2450000000000001 y[1] (closed_form) = 1.029862675027365 y[1] (numeric) = 1.029862675027366 absolute error = 1.554312234475219e-15 relative error = 1.509242224390664e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2460000000000001 y[1] (closed_form) = 1.030105716380349 y[1] (numeric) = 1.030105716380351 absolute error = 1.77635683940025e-15 relative error = 1.724441298745653e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2470000000000001 y[1] (closed_form) = 1.030349727627537 y[1] (numeric) = 1.030349727627538 absolute error = 1.554312234475219e-15 relative error = 1.50852879638659e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2480000000000001 y[1] (closed_form) = 1.030594708524915 y[1] (numeric) = 1.030594708524917 absolute error = 1.77635683940025e-15 relative error = 1.723623093255292e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2490000000000001 y[1] (closed_form) = 1.030840658827505 y[1] (numeric) = 1.030840658827507 absolute error = 1.554312234475219e-15 relative error = 1.507810369299091e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2500000000000001 y[1] (closed_form) = 1.031087578289355 y[1] (numeric) = 1.031087578289357 absolute error = 1.332267629550188e-15 relative error = 1.292099388647966e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2510000000000001 y[1] (closed_form) = 1.031335466663546 y[1] (numeric) = 1.031335466663548 absolute error = 1.332267629550188e-15 relative error = 1.291788823921843e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2520000000000001 y[1] (closed_form) = 1.03158432370219 y[1] (numeric) = 1.031584323702191 absolute error = 1.332267629550188e-15 relative error = 1.291477195745757e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2530000000000001 y[1] (closed_form) = 1.031834149156429 y[1] (numeric) = 1.03183414915643 absolute error = 1.332267629550188e-15 relative error = 1.291164506078207e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2540000000000001 y[1] (closed_form) = 1.032084942776438 y[1] (numeric) = 1.03208494277644 absolute error = 1.332267629550188e-15 relative error = 1.290850756882685e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2550000000000001 y[1] (closed_form) = 1.032336704311424 y[1] (numeric) = 1.032336704311426 absolute error = 1.332267629550188e-15 relative error = 1.290535950127647e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2560000000000001 y[1] (closed_form) = 1.032589433509626 y[1] (numeric) = 1.032589433509627 absolute error = 1.332267629550188e-15 relative error = 1.290220087786487e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2570000000000001 y[1] (closed_form) = 1.032843130118312 y[1] (numeric) = 1.032843130118314 absolute error = 1.332267629550188e-15 relative error = 1.289903171837505e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2580000000000001 y[1] (closed_form) = 1.033097793883789 y[1] (numeric) = 1.03309779388379 absolute error = 1.110223024625157e-15 relative error = 1.074654336886565e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2590000000000001 y[1] (closed_form) = 1.03335342455139 y[1] (numeric) = 1.033353424551392 absolute error = 1.332267629550188e-15 relative error = 1.289266187053636e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2600000000000001 y[1] (closed_form) = 1.033610021865487 y[1] (numeric) = 1.033610021865488 absolute error = 1.554312234475219e-15 relative error = 1.503770475899561e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2610000000000001 y[1] (closed_form) = 1.033867585569481 y[1] (numeric) = 1.033867585569482 absolute error = 1.332267629550188e-15 relative error = 1.288625011699482e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2620000000000001 y[1] (closed_form) = 1.034126115405809 y[1] (numeric) = 1.03412611540581 absolute error = 1.332267629550188e-15 relative error = 1.288302857555611e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2630000000000001 y[1] (closed_form) = 1.034385611115941 y[1] (numeric) = 1.034385611115943 absolute error = 1.332267629550188e-15 relative error = 1.287979661775146e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2640000000000001 y[1] (closed_form) = 1.034646072440382 y[1] (numeric) = 1.034646072440383 absolute error = 1.110223024625157e-15 relative error = 1.073046188641604e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2650000000000001 y[1] (closed_form) = 1.03490749911867 y[1] (numeric) = 1.034907499118671 absolute error = 1.110223024625157e-15 relative error = 1.07277512779705e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2660000000000001 y[1] (closed_form) = 1.035169890889378 y[1] (numeric) = 1.035169890889379 absolute error = 1.110223024625157e-15 relative error = 1.07250320396326e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2670000000000001 y[1] (closed_form) = 1.035433247490115 y[1] (numeric) = 1.035433247490116 absolute error = 1.110223024625157e-15 relative error = 1.072230418828381e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2680000000000001 y[1] (closed_form) = 1.035697568657524 y[1] (numeric) = 1.035697568657525 absolute error = 1.110223024625157e-15 relative error = 1.071956774084381e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2690000000000001 y[1] (closed_form) = 1.035962854127284 y[1] (numeric) = 1.035962854127285 absolute error = 1.110223024625157e-15 relative error = 1.07168227142703e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2700000000000001 y[1] (closed_form) = 1.036229103634109 y[1] (numeric) = 1.036229103634111 absolute error = 1.332267629550188e-15 relative error = 1.285688295067043e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2710000000000001 y[1] (closed_form) = 1.036496316911751 y[1] (numeric) = 1.036496316911752 absolute error = 1.110223024625157e-15 relative error = 1.07113069917419e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2720000000000001 y[1] (closed_form) = 1.036764493692996 y[1] (numeric) = 1.036764493692997 absolute error = 1.110223024625157e-15 relative error = 1.070853632989011e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2730000000000001 y[1] (closed_form) = 1.037033633709666 y[1] (numeric) = 1.037033633709667 absolute error = 1.110223024625157e-15 relative error = 1.07057571571105e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2740000000000001 y[1] (closed_form) = 1.037303736692623 y[1] (numeric) = 1.037303736692624 absolute error = 1.332267629550188e-15 relative error = 1.284356338865643e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2750000000000001 y[1] (closed_form) = 1.037574802371762 y[1] (numeric) = 1.037574802371763 absolute error = 1.332267629550188e-15 relative error = 1.284020801685619e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2760000000000001 y[1] (closed_form) = 1.037846830476019 y[1] (numeric) = 1.03784683047602 absolute error = 1.332267629550188e-15 relative error = 1.283684249379198e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2770000000000001 y[1] (closed_form) = 1.038119820733365 y[1] (numeric) = 1.038119820733367 absolute error = 1.554312234475219e-15 relative error = 1.497237798019497e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2780000000000001 y[1] (closed_form) = 1.038393772870811 y[1] (numeric) = 1.038393772870812 absolute error = 1.332267629550188e-15 relative error = 1.28300810767279e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2790000000000001 y[1] (closed_form) = 1.038668686614403 y[1] (numeric) = 1.038668686614405 absolute error = 1.332267629550188e-15 relative error = 1.282668522426324e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2800000000000001 y[1] (closed_form) = 1.038944561689229 y[1] (numeric) = 1.038944561689231 absolute error = 1.332267629550188e-15 relative error = 1.282327930360444e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2810000000000001 y[1] (closed_form) = 1.039221397819413 y[1] (numeric) = 1.039221397819414 absolute error = 1.554312234475219e-15 relative error = 1.495650722489564e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2820000000000001 y[1] (closed_form) = 1.039499194728119 y[1] (numeric) = 1.03949919472812 absolute error = 1.332267629550188e-15 relative error = 1.281643734123952e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2830000000000001 y[1] (closed_form) = 1.039777952137551 y[1] (numeric) = 1.039777952137552 absolute error = 1.332267629550188e-15 relative error = 1.281300134140509e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2840000000000001 y[1] (closed_form) = 1.04005766976895 y[1] (numeric) = 1.040057669768951 absolute error = 1.332267629550188e-15 relative error = 1.280955535711931e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2850000000000001 y[1] (closed_form) = 1.040338347342599 y[1] (numeric) = 1.0403383473426 absolute error = 1.554312234475219e-15 relative error = 1.494044931099095e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2860000000000001 y[1] (closed_form) = 1.040619984577821 y[1] (numeric) = 1.040619984577823 absolute error = 1.554312234475219e-15 relative error = 1.493640577262028e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2870000000000001 y[1] (closed_form) = 1.040902581192979 y[1] (numeric) = 1.04090258119298 absolute error = 1.554312234475219e-15 relative error = 1.493235065949997e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2880000000000001 y[1] (closed_form) = 1.041186136905475 y[1] (numeric) = 1.041186136905477 absolute error = 1.77635683940025e-15 relative error = 1.706089599578984e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2890000000000001 y[1] (closed_form) = 1.041470651431755 y[1] (numeric) = 1.041470651431756 absolute error = 1.554312234475219e-15 relative error = 1.49242058078011e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2900000000000001 y[1] (closed_form) = 1.041756124487303 y[1] (numeric) = 1.041756124487305 absolute error = 1.554312234475219e-15 relative error = 1.492011611873335e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2910000000000001 y[1] (closed_form) = 1.042042555786647 y[1] (numeric) = 1.042042555786649 absolute error = 1.77635683940025e-15 relative error = 1.704687423307068e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2920000000000001 y[1] (closed_form) = 1.042329945043355 y[1] (numeric) = 1.042329945043357 absolute error = 1.77635683940025e-15 relative error = 1.704217410089244e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2930000000000001 y[1] (closed_form) = 1.042618291970039 y[1] (numeric) = 1.04261829197004 absolute error = 1.77635683940025e-15 relative error = 1.703746091049108e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2940000000000002 y[1] (closed_form) = 1.04290759627835 y[1] (numeric) = 1.042907596278352 absolute error = 1.77635683940025e-15 relative error = 1.703273469039096e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2950000000000002 y[1] (closed_form) = 1.043197857678986 y[1] (numeric) = 1.043197857678988 absolute error = 1.554312234475219e-15 relative error = 1.489949603552113e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2960000000000002 y[1] (closed_form) = 1.043489075881685 y[1] (numeric) = 1.043489075881686 absolute error = 1.554312234475219e-15 relative error = 1.489533786601379e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2970000000000002 y[1] (closed_form) = 1.043781250595227 y[1] (numeric) = 1.043781250595229 absolute error = 1.554312234475219e-15 relative error = 1.489116837066058e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2980000000000002 y[1] (closed_form) = 1.04407438152744 y[1] (numeric) = 1.044074381527441 absolute error = 1.77635683940025e-15 relative error = 1.701370008525169e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2990000000000002 y[1] (closed_form) = 1.044368468385191 y[1] (numeric) = 1.044368468385193 absolute error = 1.77635683940025e-15 relative error = 1.700890914627923e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3000000000000002 y[1] (closed_form) = 1.044663510874394 y[1] (numeric) = 1.044663510874396 absolute error = 1.77635683940025e-15 relative error = 1.700410534980227e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3010000000000002 y[1] (closed_form) = 1.044959508700007 y[1] (numeric) = 1.044959508700009 absolute error = 1.77635683940025e-15 relative error = 1.699928872469084e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3020000000000002 y[1] (closed_form) = 1.045256461566031 y[1] (numeric) = 1.045256461566033 absolute error = 1.554312234475219e-15 relative error = 1.487015188737993e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3030000000000002 y[1] (closed_form) = 1.045554369175514 y[1] (numeric) = 1.045554369175516 absolute error = 1.77635683940025e-15 relative error = 1.698961710428335e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3040000000000002 y[1] (closed_form) = 1.045853231230549 y[1] (numeric) = 1.045853231230551 absolute error = 1.77635683940025e-15 relative error = 1.698476216696479e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3050000000000002 y[1] (closed_form) = 1.046153047432273 y[1] (numeric) = 1.046153047432275 absolute error = 1.554312234475219e-15 relative error = 1.485740770234523e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3060000000000002 y[1] (closed_form) = 1.04645381748087 y[1] (numeric) = 1.046453817480872 absolute error = 1.554312234475219e-15 relative error = 1.485313741046803e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3070000000000002 y[1] (closed_form) = 1.04675554107557 y[1] (numeric) = 1.046755541075572 absolute error = 1.77635683940025e-15 relative error = 1.697012119539387e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3080000000000002 y[1] (closed_form) = 1.047058217914649 y[1] (numeric) = 1.047058217914651 absolute error = 1.77635683940025e-15 relative error = 1.696521558216785e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3090000000000002 y[1] (closed_form) = 1.047361847695432 y[1] (numeric) = 1.047361847695433 absolute error = 1.554312234475219e-15 relative error = 1.484026020133594e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3100000000000002 y[1] (closed_form) = 1.047666430114287 y[1] (numeric) = 1.047666430114288 absolute error = 1.554312234475219e-15 relative error = 1.483594577241216e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3110000000000002 y[1] (closed_form) = 1.047971964866632 y[1] (numeric) = 1.047971964866634 absolute error = 1.332267629550188e-15 relative error = 1.271281746281959e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3120000000000002 y[1] (closed_form) = 1.048278451646934 y[1] (numeric) = 1.048278451646935 absolute error = 1.332267629550188e-15 relative error = 1.270910059686034e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3130000000000002 y[1] (closed_form) = 1.048585890148704 y[1] (numeric) = 1.048585890148706 absolute error = 1.332267629550188e-15 relative error = 1.270537437196731e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3140000000000002 y[1] (closed_form) = 1.048894280064505 y[1] (numeric) = 1.048894280064506 absolute error = 1.332267629550188e-15 relative error = 1.270163881023601e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3150000000000002 y[1] (closed_form) = 1.049203621085947 y[1] (numeric) = 1.049203621085948 absolute error = 1.332267629550188e-15 relative error = 1.269789393379394e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3160000000000002 y[1] (closed_form) = 1.049513912903688 y[1] (numeric) = 1.049513912903689 absolute error = 1.332267629550188e-15 relative error = 1.269413976480031e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3170000000000002 y[1] (closed_form) = 1.049825155207437 y[1] (numeric) = 1.049825155207439 absolute error = 1.332267629550188e-15 relative error = 1.269037632544576e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3180000000000002 y[1] (closed_form) = 1.050137347685952 y[1] (numeric) = 1.050137347685953 absolute error = 1.110223024625157e-15 relative error = 1.057216969829334e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3190000000000002 y[1] (closed_form) = 1.05045049002704 y[1] (numeric) = 1.050450490027041 absolute error = 1.110223024625157e-15 relative error = 1.05690181038097e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3200000000000002 y[1] (closed_form) = 1.050764581917559 y[1] (numeric) = 1.05076458191756 absolute error = 1.332267629550188e-15 relative error = 1.267903060758775e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3210000000000002 y[1] (closed_form) = 1.051079623043417 y[1] (numeric) = 1.051079623043418 absolute error = 1.332267629550188e-15 relative error = 1.267523030931364e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3220000000000002 y[1] (closed_form) = 1.051395613089573 y[1] (numeric) = 1.051395613089574 absolute error = 1.332267629550188e-15 relative error = 1.267142085209258e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3230000000000002 y[1] (closed_form) = 1.051712551740036 y[1] (numeric) = 1.051712551740038 absolute error = 1.332267629550188e-15 relative error = 1.266760225829747e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3240000000000002 y[1] (closed_form) = 1.052030438677869 y[1] (numeric) = 1.05203043867787 absolute error = 1.332267629550188e-15 relative error = 1.266377455033054e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3250000000000002 y[1] (closed_form) = 1.052349273585184 y[1] (numeric) = 1.052349273585186 absolute error = 1.332267629550188e-15 relative error = 1.265993775062311e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3260000000000002 y[1] (closed_form) = 1.052669056143147 y[1] (numeric) = 1.052669056143148 absolute error = 1.332267629550188e-15 relative error = 1.265609188163521e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3270000000000002 y[1] (closed_form) = 1.052989786031974 y[1] (numeric) = 1.052989786031976 absolute error = 1.332267629550188e-15 relative error = 1.265223696585537e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3280000000000002 y[1] (closed_form) = 1.053311462930937 y[1] (numeric) = 1.053311462930938 absolute error = 1.110223024625157e-15 relative error = 1.054031085483355e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3290000000000002 y[1] (closed_form) = 1.053634086518358 y[1] (numeric) = 1.053634086518359 absolute error = 1.110223024625157e-15 relative error = 1.053708340334539e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3300000000000002 y[1] (closed_form) = 1.053957656471613 y[1] (numeric) = 1.053957656471614 absolute error = 1.110223024625157e-15 relative error = 1.053384846922509e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3310000000000002 y[1] (closed_form) = 1.054282172467133 y[1] (numeric) = 1.054282172467134 absolute error = 1.110223024625157e-15 relative error = 1.053060607130552e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3320000000000002 y[1] (closed_form) = 1.054607634180402 y[1] (numeric) = 1.054607634180403 absolute error = 1.332267629550188e-15 relative error = 1.263282747413044e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3330000000000002 y[1] (closed_form) = 1.054934041285958 y[1] (numeric) = 1.054934041285959 absolute error = 1.332267629550188e-15 relative error = 1.262891875141466e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3340000000000002 y[1] (closed_form) = 1.055261393457394 y[1] (numeric) = 1.055261393457395 absolute error = 1.110223024625157e-15 relative error = 1.05208342834157e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3350000000000002 y[1] (closed_form) = 1.055589690367357 y[1] (numeric) = 1.055589690367358 absolute error = 1.332267629550188e-15 relative error = 1.262107466288861e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3360000000000002 y[1] (closed_form) = 1.055918931687552 y[1] (numeric) = 1.055918931687553 absolute error = 1.110223024625157e-15 relative error = 1.051428278542953e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3370000000000002 y[1] (closed_form) = 1.056249117088736 y[1] (numeric) = 1.056249117088737 absolute error = 1.110223024625157e-15 relative error = 1.051099600144694e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3380000000000002 y[1] (closed_form) = 1.056580246240724 y[1] (numeric) = 1.056580246240725 absolute error = 1.332267629550188e-15 relative error = 1.260924226333352e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3390000000000002 y[1] (closed_form) = 1.056912318812388 y[1] (numeric) = 1.056912318812389 absolute error = 1.332267629550188e-15 relative error = 1.260528055011419e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3400000000000002 y[1] (closed_form) = 1.057245334471654 y[1] (numeric) = 1.057245334471655 absolute error = 1.332267629550188e-15 relative error = 1.260131008491017e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3410000000000002 y[1] (closed_form) = 1.057579292885507 y[1] (numeric) = 1.057579292885508 absolute error = 1.332267629550188e-15 relative error = 1.259733089057766e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3420000000000002 y[1] (closed_form) = 1.057914193719989 y[1] (numeric) = 1.05791419371999 absolute error = 1.332267629550188e-15 relative error = 1.259334298999693e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3430000000000002 y[1] (closed_form) = 1.058250036640198 y[1] (numeric) = 1.058250036640199 absolute error = 1.332267629550188e-15 relative error = 1.258934640607204e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3440000000000002 y[1] (closed_form) = 1.058586821310292 y[1] (numeric) = 1.058586821310294 absolute error = 1.332267629550188e-15 relative error = 1.258534116173051e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3450000000000002 y[1] (closed_form) = 1.058924547393487 y[1] (numeric) = 1.058924547393488 absolute error = 1.110223024625157e-15 relative error = 1.04844393999359e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3460000000000002 y[1] (closed_form) = 1.059263214552056 y[1] (numeric) = 1.059263214552057 absolute error = 1.332267629550188e-15 relative error = 1.257730478362341e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3470000000000002 y[1] (closed_form) = 1.059602822447332 y[1] (numeric) = 1.059602822447333 absolute error = 1.332267629550188e-15 relative error = 1.257327369582775e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3480000000000002 y[1] (closed_form) = 1.059943370739707 y[1] (numeric) = 1.059943370739708 absolute error = 1.332267629550188e-15 relative error = 1.256923403955471e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3490000000000002 y[1] (closed_form) = 1.060284859088632 y[1] (numeric) = 1.060284859088634 absolute error = 1.332267629550188e-15 relative error = 1.256518583784492e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3500000000000002 y[1] (closed_form) = 1.060627287152621 y[1] (numeric) = 1.060627287152622 absolute error = 1.332267629550188e-15 relative error = 1.256112911376076e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3510000000000002 y[1] (closed_form) = 1.060970654589244 y[1] (numeric) = 1.060970654589245 absolute error = 1.110223024625157e-15 relative error = 1.046421990865506e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3520000000000002 y[1] (closed_form) = 1.061314961055134 y[1] (numeric) = 1.061314961055136 absolute error = 1.332267629550188e-15 relative error = 1.25529901908259e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3530000000000002 y[1] (closed_form) = 1.061660206205985 y[1] (numeric) = 1.061660206205987 absolute error = 1.332267629550188e-15 relative error = 1.254890803820614e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3540000000000002 y[1] (closed_form) = 1.062006389696552 y[1] (numeric) = 1.062006389696553 absolute error = 1.110223024625157e-15 relative error = 1.045401454639441e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3550000000000002 y[1] (closed_form) = 1.062353511180651 y[1] (numeric) = 1.062353511180652 absolute error = 1.110223024625157e-15 relative error = 1.045059872199515e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3560000000000002 y[1] (closed_form) = 1.06270157031116 y[1] (numeric) = 1.062701570311161 absolute error = 1.110223024625157e-15 relative error = 1.044717591129636e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3570000000000002 y[1] (closed_form) = 1.063050566740021 y[1] (numeric) = 1.063050566740022 absolute error = 1.110223024625157e-15 relative error = 1.044374613363686e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3580000000000002 y[1] (closed_form) = 1.063400500118237 y[1] (numeric) = 1.063400500118239 absolute error = 1.110223024625157e-15 relative error = 1.044030940837166e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3590000000000002 y[1] (closed_form) = 1.063751370095875 y[1] (numeric) = 1.063751370095877 absolute error = 1.110223024625157e-15 relative error = 1.043686575487177e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3600000000000002 y[1] (closed_form) = 1.064103176322065 y[1] (numeric) = 1.064103176322066 absolute error = 1.110223024625157e-15 relative error = 1.043341519252389e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3610000000000002 y[1] (closed_form) = 1.064455918445001 y[1] (numeric) = 1.064455918445002 absolute error = 1.110223024625157e-15 relative error = 1.042995774073025e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3620000000000002 y[1] (closed_form) = 1.06480959611194 y[1] (numeric) = 1.064809596111941 absolute error = 8.881784197001252e-16 relative error = 8.341194735126654e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3630000000000002 y[1] (closed_form) = 1.065164208969205 y[1] (numeric) = 1.065164208969206 absolute error = 8.881784197001252e-16 relative error = 8.338417797192464e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3640000000000002 y[1] (closed_form) = 1.065519756662183 y[1] (numeric) = 1.065519756662184 absolute error = 8.881784197001252e-16 relative error = 8.335635394339449e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3650000000000002 y[1] (closed_form) = 1.065876238835327 y[1] (numeric) = 1.065876238835328 absolute error = 8.881784197001252e-16 relative error = 8.332847542137065e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3660000000000002 y[1] (closed_form) = 1.066233655132154 y[1] (numeric) = 1.066233655132155 absolute error = 6.661338147750939e-16 relative error = 6.247540692124655e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3670000000000002 y[1] (closed_form) = 1.066592005195248 y[1] (numeric) = 1.066592005195249 absolute error = 6.661338147750939e-16 relative error = 6.24544166401428e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3680000000000002 y[1] (closed_form) = 1.066951288666259 y[1] (numeric) = 1.06695128866626 absolute error = 6.661338147750939e-16 relative error = 6.243338583974095e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3690000000000002 y[1] (closed_form) = 1.067311505185904 y[1] (numeric) = 1.067311505185905 absolute error = 6.661338147750939e-16 relative error = 6.241231463714682e-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) = 1.067672654393966 y[1] (numeric) = 1.067672654393966 absolute error = 6.661338147750939e-16 relative error = 6.239120314954644e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3710000000000002 y[1] (closed_form) = 1.068034735929295 y[1] (numeric) = 1.068034735929296 absolute error = 6.661338147750939e-16 relative error = 6.237005149420463e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3720000000000002 y[1] (closed_form) = 1.068397749429812 y[1] (numeric) = 1.068397749429812 absolute error = 4.440892098500626e-16 relative error = 4.15659065256424e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3730000000000002 y[1] (closed_form) = 1.0687616945325 y[1] (numeric) = 1.068761694532501 absolute error = 6.661338147750939e-16 relative error = 6.232762814974159e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3740000000000002 y[1] (closed_form) = 1.069126570873417 y[1] (numeric) = 1.069126570873418 absolute error = 8.881784197001252e-16 relative error = 8.307514226070845e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3750000000000002 y[1] (closed_form) = 1.069492378087686 y[1] (numeric) = 1.069492378087687 absolute error = 6.661338147750939e-16 relative error = 6.228504554339879e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3760000000000002 y[1] (closed_form) = 1.069859115809499 y[1] (numeric) = 1.069859115809499 absolute error = 8.881784197001252e-16 relative error = 8.301825974797566e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3770000000000002 y[1] (closed_form) = 1.070226783672118 y[1] (numeric) = 1.070226783672119 absolute error = 6.661338147750939e-16 relative error = 6.22423046159883e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3780000000000002 y[1] (closed_form) = 1.070595381307876 y[1] (numeric) = 1.070595381307877 absolute error = 8.881784197001252e-16 relative error = 8.296116676826083e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3790000000000002 y[1] (closed_form) = 1.070964908348176 y[1] (numeric) = 1.070964908348177 absolute error = 8.881784197001252e-16 relative error = 8.293254174593123e-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) = 1.07133536442349 y[1] (numeric) = 1.071335364423491 absolute error = 6.661338147750939e-16 relative error = 6.217789843365767e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3810000000000002 y[1] (closed_form) = 1.071706749163362 y[1] (numeric) = 1.071706749163363 absolute error = 8.881784197001252e-16 relative error = 8.287513542239892e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3820000000000002 y[1] (closed_form) = 1.072079062196407 y[1] (numeric) = 1.072079062196408 absolute error = 8.881784197001252e-16 relative error = 8.284635443588291e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3830000000000002 y[1] (closed_form) = 1.072452303150313 y[1] (numeric) = 1.072452303150314 absolute error = 8.881784197001252e-16 relative error = 8.281752177613064e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3840000000000002 y[1] (closed_form) = 1.072826471651839 y[1] (numeric) = 1.07282647165184 absolute error = 8.881784197001252e-16 relative error = 8.278863760069142e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3850000000000002 y[1] (closed_form) = 1.073201567326815 y[1] (numeric) = 1.073201567326816 absolute error = 8.881784197001252e-16 relative error = 8.275970206719367e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3860000000000002 y[1] (closed_form) = 1.073577589800147 y[1] (numeric) = 1.073577589800148 absolute error = 8.881784197001252e-16 relative error = 8.273071533334304e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3870000000000002 y[1] (closed_form) = 1.073954538695812 y[1] (numeric) = 1.073954538695813 absolute error = 8.881784197001252e-16 relative error = 8.270167755692063e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3880000000000002 y[1] (closed_form) = 1.074332413636862 y[1] (numeric) = 1.074332413636863 absolute error = 8.881784197001252e-16 relative error = 8.26725888957811e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3890000000000002 y[1] (closed_form) = 1.07471121424542 y[1] (numeric) = 1.074711214245421 absolute error = 8.881784197001252e-16 relative error = 8.264344950785092e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3900000000000002 y[1] (closed_form) = 1.075090940142687 y[1] (numeric) = 1.075090940142688 absolute error = 8.881784197001252e-16 relative error = 8.261425955112646e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3910000000000002 y[1] (closed_form) = 1.075471590948937 y[1] (numeric) = 1.075471590948938 absolute error = 1.110223024625157e-15 relative error = 1.032312739795904e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3920000000000002 y[1] (closed_form) = 1.075853166283519 y[1] (numeric) = 1.07585316628352 absolute error = 8.881784197001252e-16 relative error = 8.255572856361927e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3930000000000002 y[1] (closed_form) = 1.076235665764857 y[1] (numeric) = 1.076235665764858 absolute error = 1.110223024625157e-15 relative error = 1.031579848114535e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3940000000000002 y[1] (closed_form) = 1.076619089010453 y[1] (numeric) = 1.076619089010454 absolute error = 8.881784197001252e-16 relative error = 8.249699719856089e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3950000000000002 y[1] (closed_form) = 1.077003435636883 y[1] (numeric) = 1.077003435636884 absolute error = 6.661338147750939e-16 relative error = 6.185066757759947e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3960000000000002 y[1] (closed_form) = 1.0773887052598 y[1] (numeric) = 1.077388705259801 absolute error = 6.661338147750939e-16 relative error = 6.182855004169208e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3970000000000002 y[1] (closed_form) = 1.077774897493935 y[1] (numeric) = 1.077774897493936 absolute error = 4.440892098500626e-16 relative error = 4.120426360668337e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3980000000000002 y[1] (closed_form) = 1.078162011953096 y[1] (numeric) = 1.078162011953097 absolute error = 4.440892098500626e-16 relative error = 4.118946920097775e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3990000000000002 y[1] (closed_form) = 1.078550048250168 y[1] (numeric) = 1.078550048250169 absolute error = 4.440892098500626e-16 relative error = 4.117465022328354e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4000000000000002 y[1] (closed_form) = 1.078939005997115 y[1] (numeric) = 1.078939005997116 absolute error = 6.661338147750939e-16 relative error = 6.173971012934861e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4010000000000002 y[1] (closed_form) = 1.079328884804979 y[1] (numeric) = 1.07932888480498 absolute error = 4.440892098500626e-16 relative error = 4.114493886914773e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4020000000000002 y[1] (closed_form) = 1.079719684283882 y[1] (numeric) = 1.079719684283883 absolute error = 6.661338147750939e-16 relative error = 6.169506997706571e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4030000000000002 y[1] (closed_form) = 1.080111404043024 y[1] (numeric) = 1.080111404043024 absolute error = 6.661338147750939e-16 relative error = 6.167269526843734e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4040000000000002 y[1] (closed_form) = 1.080504043690685 y[1] (numeric) = 1.080504043690685 absolute error = 4.440892098500626e-16 relative error = 4.110018953128432e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4050000000000002 y[1] (closed_form) = 1.080897602834225 y[1] (numeric) = 1.080897602834226 absolute error = 4.440892098500626e-16 relative error = 4.108522478777035e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4060000000000002 y[1] (closed_form) = 1.081292081080087 y[1] (numeric) = 1.081292081080087 absolute error = 6.661338147750939e-16 relative error = 6.160535404177775e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4070000000000003 y[1] (closed_form) = 1.08168747803379 y[1] (numeric) = 1.081687478033791 absolute error = 4.440892098500626e-16 relative error = 4.105522333098414e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4080000000000003 y[1] (closed_form) = 1.082083793299939 y[1] (numeric) = 1.08208379329994 absolute error = 4.440892098500626e-16 relative error = 4.104018677664151e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4090000000000003 y[1] (closed_form) = 1.082481026482219 y[1] (numeric) = 1.082481026482219 absolute error = 4.440892098500626e-16 relative error = 4.102512644431625e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4100000000000003 y[1] (closed_form) = 1.082879177183395 y[1] (numeric) = 1.082879177183395 absolute error = 4.440892098500626e-16 relative error = 4.101004241351778e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4110000000000003 y[1] (closed_form) = 1.083278245005318 y[1] (numeric) = 1.083278245005318 absolute error = 4.440892098500626e-16 relative error = 4.099493476377185e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4120000000000003 y[1] (closed_form) = 1.083678229548919 y[1] (numeric) = 1.08367822954892 absolute error = 6.661338147750939e-16 relative error = 6.146970536192944e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4130000000000003 y[1] (closed_form) = 1.084079130414215 y[1] (numeric) = 1.084079130414215 absolute error = 4.440892098500626e-16 relative error = 4.096464892561681e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4140000000000003 y[1] (closed_form) = 1.084480947200303 y[1] (numeric) = 1.084480947200304 absolute error = 4.440892098500626e-16 relative error = 4.094947089633282e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4150000000000003 y[1] (closed_form) = 1.084883679505368 y[1] (numeric) = 1.084883679505369 absolute error = 4.440892098500626e-16 relative error = 4.093426956634986e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4160000000000003 y[1] (closed_form) = 1.085287326926678 y[1] (numeric) = 1.085287326926678 absolute error = 4.440892098500626e-16 relative error = 4.091904501526215e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4170000000000003 y[1] (closed_form) = 1.085691889060584 y[1] (numeric) = 1.085691889060585 absolute error = 6.661338147750939e-16 relative error = 6.135569598401247e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4180000000000003 y[1] (closed_form) = 1.086097365502525 y[1] (numeric) = 1.086097365502526 absolute error = 4.440892098500626e-16 relative error = 4.08885265682039e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4190000000000003 y[1] (closed_form) = 1.086503755847025 y[1] (numeric) = 1.086503755847025 absolute error = 4.440892098500626e-16 relative error = 4.087323283147386e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4200000000000003 y[1] (closed_form) = 1.086911059687692 y[1] (numeric) = 1.086911059687692 absolute error = 4.440892098500626e-16 relative error = 4.085791619211835e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4210000000000003 y[1] (closed_form) = 1.087319276617223 y[1] (numeric) = 1.087319276617224 absolute error = 4.440892098500626e-16 relative error = 4.084257672977855e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4220000000000003 y[1] (closed_form) = 1.087728406227402 y[1] (numeric) = 1.087728406227403 absolute error = 4.440892098500626e-16 relative error = 4.082721452410249e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4230000000000003 y[1] (closed_form) = 1.088138448109099 y[1] (numeric) = 1.088138448109099 absolute error = 4.440892098500626e-16 relative error = 4.081182965474421e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4240000000000003 y[1] (closed_form) = 1.088549401852272 y[1] (numeric) = 1.088549401852272 absolute error = 4.440892098500626e-16 relative error = 4.079642220136284e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4250000000000003 y[1] (closed_form) = 1.088961267045967 y[1] (numeric) = 1.088961267045967 absolute error = 4.440892098500626e-16 relative error = 4.078099224362192e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4260000000000003 y[1] (closed_form) = 1.089374043278318 y[1] (numeric) = 1.089374043278319 absolute error = 6.661338147750939e-16 relative error = 6.114830979178261e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4270000000000003 y[1] (closed_form) = 1.089787730136551 y[1] (numeric) = 1.089787730136552 absolute error = 4.440892098500626e-16 relative error = 4.075006513373186e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4280000000000003 y[1] (closed_form) = 1.090202327206978 y[1] (numeric) = 1.090202327206978 absolute error = 4.440892098500626e-16 relative error = 4.073456814092373e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4290000000000003 y[1] (closed_form) = 1.090617834075001 y[1] (numeric) = 1.090617834075002 absolute error = 4.440892098500626e-16 relative error = 4.071904896243635e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4300000000000003 y[1] (closed_form) = 1.091034250325115 y[1] (numeric) = 1.091034250325115 absolute error = 4.440892098500626e-16 relative error = 4.070350767794223e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4310000000000003 y[1] (closed_form) = 1.091451575540903 y[1] (numeric) = 1.091451575540903 absolute error = 4.440892098500626e-16 relative error = 4.068794436711316e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4320000000000003 y[1] (closed_form) = 1.091869809305039 y[1] (numeric) = 1.09186980930504 absolute error = 4.440892098500626e-16 relative error = 4.067235910961945e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4330000000000003 y[1] (closed_form) = 1.092288951199291 y[1] (numeric) = 1.092288951199291 absolute error = 4.440892098500626e-16 relative error = 4.065675198512903e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4340000000000003 y[1] (closed_form) = 1.092709000804515 y[1] (numeric) = 1.092709000804516 absolute error = 4.440892098500626e-16 relative error = 4.064112307330667e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4350000000000003 y[1] (closed_form) = 1.093129957700663 y[1] (numeric) = 1.093129957700664 absolute error = 4.440892098500626e-16 relative error = 4.062547245381317e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4360000000000003 y[1] (closed_form) = 1.093551821466778 y[1] (numeric) = 1.093551821466779 absolute error = 4.440892098500626e-16 relative error = 4.060980020630452e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4370000000000003 y[1] (closed_form) = 1.093974591680996 y[1] (numeric) = 1.093974591680997 absolute error = 2.220446049250313e-16 relative error = 2.029705320521554e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4380000000000003 y[1] (closed_form) = 1.094398267920547 y[1] (numeric) = 1.094398267920548 absolute error = 4.440892098500626e-16 relative error = 4.057839114583681e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4390000000000003 y[1] (closed_form) = 1.094822849761754 y[1] (numeric) = 1.094822849761755 absolute error = 4.440892098500626e-16 relative error = 4.056265449215837e-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) = 1.095248336780037 y[1] (numeric) = 1.095248336780037 absolute error = 4.440892098500626e-16 relative error = 4.054689652902444e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4410000000000003 y[1] (closed_form) = 1.095674728549907 y[1] (numeric) = 1.095674728549907 absolute error = 4.440892098500626e-16 relative error = 4.05311173360548e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4420000000000003 y[1] (closed_form) = 1.096102024644973 y[1] (numeric) = 1.096102024644973 absolute error = 4.440892098500626e-16 relative error = 4.051531699285958e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4430000000000003 y[1] (closed_form) = 1.096530224637939 y[1] (numeric) = 1.096530224637939 absolute error = 4.440892098500626e-16 relative error = 4.049949557903846e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4440000000000003 y[1] (closed_form) = 1.096959328100605 y[1] (numeric) = 1.096959328100606 absolute error = 4.440892098500626e-16 relative error = 4.048365317417985e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4450000000000003 y[1] (closed_form) = 1.097389334603868 y[1] (numeric) = 1.097389334603868 absolute error = 4.440892098500626e-16 relative error = 4.046778985786011e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4460000000000003 y[1] (closed_form) = 1.097820243717721 y[1] (numeric) = 1.097820243717721 absolute error = 2.220446049250313e-16 relative error = 2.022595285482137e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4470000000000003 y[1] (closed_form) = 1.098252055011255 y[1] (numeric) = 1.098252055011256 absolute error = 4.440892098500626e-16 relative error = 4.043600080907761e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4480000000000003 y[1] (closed_form) = 1.098684768052659 y[1] (numeric) = 1.098684768052659 absolute error = 2.220446049250313e-16 relative error = 2.021003761785008e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4490000000000003 y[1] (closed_form) = 1.09911838240922 y[1] (numeric) = 1.09911838240922 absolute error = 4.440892098500626e-16 relative error = 4.040412906903061e-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) = 1.099552897647323 y[1] (numeric) = 1.099552897647324 absolute error = 4.440892098500626e-16 relative error = 4.038816238857317e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4510000000000003 y[1] (closed_form) = 1.099988313332454 y[1] (numeric) = 1.099988313332454 absolute error = 4.440892098500626e-16 relative error = 4.037217527381527e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4520000000000003 y[1] (closed_form) = 1.100424629029196 y[1] (numeric) = 1.100424629029197 absolute error = 6.661338147750939e-16 relative error = 6.053425170634019e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4530000000000003 y[1] (closed_form) = 1.100861844301234 y[1] (numeric) = 1.100861844301235 absolute error = 6.661338147750939e-16 relative error = 6.05102100888889e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4540000000000003 y[1] (closed_form) = 1.101299958711353 y[1] (numeric) = 1.101299958711354 absolute error = 6.661338147750939e-16 relative error = 6.048613817751764e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4550000000000003 y[1] (closed_form) = 1.101738971821439 y[1] (numeric) = 1.10173897182144 absolute error = 6.661338147750939e-16 relative error = 6.04620360913452e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4560000000000003 y[1] (closed_form) = 1.102178883192478 y[1] (numeric) = 1.102178883192478 absolute error = 6.661338147750939e-16 relative error = 6.043790394945939e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4570000000000003 y[1] (closed_form) = 1.102619692384559 y[1] (numeric) = 1.102619692384559 absolute error = 6.661338147750939e-16 relative error = 6.041374187091588e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4580000000000003 y[1] (closed_form) = 1.103061398956872 y[1] (numeric) = 1.103061398956873 absolute error = 6.661338147750939e-16 relative error = 6.038954997473704e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4590000000000003 y[1] (closed_form) = 1.103504002467712 y[1] (numeric) = 1.103504002467713 absolute error = 6.661338147750939e-16 relative error = 6.036532837991084e-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) = 1.103947502474475 y[1] (numeric) = 1.103947502474476 absolute error = 8.881784197001252e-16 relative error = 8.045476960718622e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4610000000000003 y[1] (closed_form) = 1.10439189853366 y[1] (numeric) = 1.104391898533661 absolute error = 8.881784197001252e-16 relative error = 8.042239542678561e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4620000000000003 y[1] (closed_form) = 1.104837190200873 y[1] (numeric) = 1.104837190200874 absolute error = 8.881784197001252e-16 relative error = 8.038998212384971e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4630000000000003 y[1] (closed_form) = 1.105283377030821 y[1] (numeric) = 1.105283377030821 absolute error = 8.881784197001252e-16 relative error = 8.035752985683043e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4640000000000003 y[1] (closed_form) = 1.105730458577316 y[1] (numeric) = 1.105730458577318 absolute error = 1.110223024625157e-15 relative error = 1.004062984801577e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4650000000000003 y[1] (closed_form) = 1.106178434393279 y[1] (numeric) = 1.106178434393281 absolute error = 1.110223024625157e-15 relative error = 1.003656363301003e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4660000000000003 y[1] (closed_form) = 1.106627304030734 y[1] (numeric) = 1.106627304030735 absolute error = 1.110223024625157e-15 relative error = 1.003249260687249e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4670000000000003 y[1] (closed_form) = 1.107077067040809 y[1] (numeric) = 1.10707706704081 absolute error = 8.881784197001252e-16 relative error = 8.022733431505406e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4680000000000003 y[1] (closed_form) = 1.107527722973743 y[1] (numeric) = 1.107527722973744 absolute error = 8.881784197001252e-16 relative error = 8.019468960247253e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4690000000000003 y[1] (closed_form) = 1.10797927137888 y[1] (numeric) = 1.107979271378881 absolute error = 8.881784197001252e-16 relative error = 8.016200687534409e-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) = 1.108431711804671 y[1] (numeric) = 1.108431711804672 absolute error = 8.881784197001252e-16 relative error = 8.012928629171527e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4710000000000003 y[1] (closed_form) = 1.108885043798676 y[1] (numeric) = 1.108885043798677 absolute error = 8.881784197001252e-16 relative error = 8.009652800956875e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4720000000000003 y[1] (closed_form) = 1.109339266907563 y[1] (numeric) = 1.109339266907564 absolute error = 8.881784197001252e-16 relative error = 8.006373218682195e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4730000000000003 y[1] (closed_form) = 1.109794380677109 y[1] (numeric) = 1.10979438067711 absolute error = 8.881784197001252e-16 relative error = 8.003089898132561e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4740000000000003 y[1] (closed_form) = 1.1102503846522 y[1] (numeric) = 1.110250384652201 absolute error = 8.881784197001252e-16 relative error = 7.999802855086229e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4750000000000003 y[1] (closed_form) = 1.110707278376832 y[1] (numeric) = 1.110707278376833 absolute error = 8.881784197001252e-16 relative error = 7.996512105314494e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4760000000000003 y[1] (closed_form) = 1.111165061394112 y[1] (numeric) = 1.111165061394112 absolute error = 8.881784197001252e-16 relative error = 7.993217664581548e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4770000000000003 y[1] (closed_form) = 1.111623733246256 y[1] (numeric) = 1.111623733246257 absolute error = 8.881784197001252e-16 relative error = 7.989919548644333e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4780000000000003 y[1] (closed_form) = 1.112083293474593 y[1] (numeric) = 1.112083293474593 absolute error = 6.661338147750939e-16 relative error = 5.989963329939303e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4790000000000003 y[1] (closed_form) = 1.112543741619562 y[1] (numeric) = 1.112543741619563 absolute error = 8.881784197001252e-16 relative error = 7.983312354147786e-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) = 1.113005077220716 y[1] (numeric) = 1.113005077220717 absolute error = 8.881784197001252e-16 relative error = 7.980003307064824e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4810000000000003 y[1] (closed_form) = 1.113467299816719 y[1] (numeric) = 1.113467299816719 absolute error = 8.881784197001252e-16 relative error = 7.976690647730052e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4820000000000003 y[1] (closed_form) = 1.113930408945348 y[1] (numeric) = 1.113930408945349 absolute error = 8.881784197001252e-16 relative error = 7.973374391862046e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4830000000000003 y[1] (closed_form) = 1.114394404143494 y[1] (numeric) = 1.114394404143495 absolute error = 6.661338147750939e-16 relative error = 5.977540916378469e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4840000000000003 y[1] (closed_form) = 1.114859284947162 y[1] (numeric) = 1.114859284947163 absolute error = 6.661338147750939e-16 relative error = 5.975048365020028e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4850000000000003 y[1] (closed_form) = 1.115325050891472 y[1] (numeric) = 1.115325050891473 absolute error = 8.881784197001252e-16 relative error = 7.963404202122155e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4860000000000003 y[1] (closed_form) = 1.115791701510657 y[1] (numeric) = 1.115791701510658 absolute error = 8.881784197001252e-16 relative error = 7.960073717143005e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4870000000000003 y[1] (closed_form) = 1.116259236338067 y[1] (numeric) = 1.116259236338067 absolute error = 8.881784197001252e-16 relative error = 7.956739714099301e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4880000000000003 y[1] (closed_form) = 1.116727654906166 y[1] (numeric) = 1.116727654906167 absolute error = 8.881784197001252e-16 relative error = 7.953402208658966e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4890000000000003 y[1] (closed_form) = 1.117196956746538 y[1] (numeric) = 1.117196956746539 absolute error = 8.881784197001252e-16 relative error = 7.950061216481002e-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) = 1.117667141389879 y[1] (numeric) = 1.11766714138988 absolute error = 8.881784197001252e-16 relative error = 7.946716753215345e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4910000000000003 y[1] (closed_form) = 1.118138208366005 y[1] (numeric) = 1.118138208366006 absolute error = 8.881784197001252e-16 relative error = 7.943368834502739e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4920000000000003 y[1] (closed_form) = 1.118610157203849 y[1] (numeric) = 1.11861015720385 absolute error = 8.881784197001252e-16 relative error = 7.940017475974597e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4930000000000003 y[1] (closed_form) = 1.119082987431463 y[1] (numeric) = 1.119082987431463 absolute error = 8.881784197001252e-16 relative error = 7.936662693252864e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4940000000000003 y[1] (closed_form) = 1.119556698576015 y[1] (numeric) = 1.119556698576016 absolute error = 1.110223024625157e-15 relative error = 9.916630627437359e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4950000000000003 y[1] (closed_form) = 1.120031290163796 y[1] (numeric) = 1.120031290163797 absolute error = 1.110223024625157e-15 relative error = 9.912428647085343e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4960000000000003 y[1] (closed_form) = 1.120506761720213 y[1] (numeric) = 1.120506761720214 absolute error = 8.881784197001252e-16 relative error = 7.926577956000772e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4970000000000003 y[1] (closed_form) = 1.120983112769796 y[1] (numeric) = 1.120983112769796 absolute error = 8.881784197001252e-16 relative error = 7.923209632530129e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4980000000000003 y[1] (closed_form) = 1.121460342836192 y[1] (numeric) = 1.121460342836193 absolute error = 8.881784197001252e-16 relative error = 7.919837962828961e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4990000000000003 y[1] (closed_form) = 1.121938451442172 y[1] (numeric) = 1.121938451442173 absolute error = 1.110223024625157e-15 relative error = 9.895578703074524e-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) = 1.122417438109627 y[1] (numeric) = 1.122417438109628 absolute error = 8.881784197001252e-16 relative error = 7.913084646974062e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5010000000000003 y[1] (closed_form) = 1.122897302359572 y[1] (numeric) = 1.122897302359573 absolute error = 1.110223024625157e-15 relative error = 9.887128789892163e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5020000000000003 y[1] (closed_form) = 1.123378043712141 y[1] (numeric) = 1.123378043712142 absolute error = 8.881784197001252e-16 relative error = 7.906318132809402e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5030000000000003 y[1] (closed_form) = 1.123859661686593 y[1] (numeric) = 1.123859661686594 absolute error = 8.881784197001252e-16 relative error = 7.902929965181086e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5040000000000003 y[1] (closed_form) = 1.12434215580131 y[1] (numeric) = 1.124342155801311 absolute error = 1.110223024625157e-15 relative error = 9.874423180672339e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5050000000000003 y[1] (closed_form) = 1.124825525573799 y[1] (numeric) = 1.1248255255738 absolute error = 1.110223024625157e-15 relative error = 9.870179857972257e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5060000000000003 y[1] (closed_form) = 1.125309770520689 y[1] (numeric) = 1.12530977052069 absolute error = 8.881784197001252e-16 relative error = 7.892746006187778e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5070000000000003 y[1] (closed_form) = 1.125794890157736 y[1] (numeric) = 1.125794890157737 absolute error = 8.881784197001252e-16 relative error = 7.889344919443381e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5080000000000003 y[1] (closed_form) = 1.12628088399982 y[1] (numeric) = 1.12628088399982 absolute error = 8.881784197001252e-16 relative error = 7.88594064160879e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5090000000000003 y[1] (closed_form) = 1.126767751560946 y[1] (numeric) = 1.126767751560947 absolute error = 8.881784197001252e-16 relative error = 7.882533188136632e-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) = 1.127255492354249 y[1] (numeric) = 1.12725549235425 absolute error = 1.110223024625157e-15 relative error = 9.848903218084835e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5110000000000003 y[1] (closed_form) = 1.127744105891986 y[1] (numeric) = 1.127744105891987 absolute error = 1.110223024625157e-15 relative error = 9.844636020039567e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5120000000000003 y[1] (closed_form) = 1.128233591685545 y[1] (numeric) = 1.128233591685546 absolute error = 1.110223024625157e-15 relative error = 9.840364910306548e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5130000000000003 y[1] (closed_form) = 1.12872394924544 y[1] (numeric) = 1.128723949245441 absolute error = 1.110223024625157e-15 relative error = 9.836089908142276e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5140000000000003 y[1] (closed_form) = 1.129215178081313 y[1] (numeric) = 1.129215178081314 absolute error = 1.110223024625157e-15 relative error = 9.831811032788043e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5150000000000003 y[1] (closed_form) = 1.129707277701935 y[1] (numeric) = 1.129707277701936 absolute error = 1.332267629550188e-15 relative error = 1.179303396416375e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5160000000000003 y[1] (closed_form) = 1.130200247615206 y[1] (numeric) = 1.130200247615208 absolute error = 1.332267629550188e-15 relative error = 1.178789008727751e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5170000000000003 y[1] (closed_form) = 1.130694087328158 y[1] (numeric) = 1.130694087328159 absolute error = 1.110223024625157e-15 relative error = 9.81895135976721e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5180000000000003 y[1] (closed_form) = 1.13118879634695 y[1] (numeric) = 1.131188796346951 absolute error = 8.881784197001252e-16 relative error = 7.85172574700527e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5190000000000003 y[1] (closed_form) = 1.131684374176874 y[1] (numeric) = 1.131684374176875 absolute error = 8.881784197001252e-16 relative error = 7.848287384423227e-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) = 1.13218082032235 y[1] (numeric) = 1.132180820322351 absolute error = 8.881784197001252e-16 relative error = 7.844846015385126e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5210000000000004 y[1] (closed_form) = 1.132678134286934 y[1] (numeric) = 1.132678134286935 absolute error = 8.881784197001252e-16 relative error = 7.841401655195443e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5220000000000004 y[1] (closed_form) = 1.133176315573312 y[1] (numeric) = 1.133176315573313 absolute error = 8.881784197001252e-16 relative error = 7.837954319145524e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5230000000000004 y[1] (closed_form) = 1.133675363683301 y[1] (numeric) = 1.133675363683303 absolute error = 1.110223024625157e-15 relative error = 9.793130028141844e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5240000000000004 y[1] (closed_form) = 1.134175278117855 y[1] (numeric) = 1.134175278117856 absolute error = 1.110223024625157e-15 relative error = 9.788813475705033e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5250000000000004 y[1] (closed_form) = 1.134676058377059 y[1] (numeric) = 1.13467605837706 absolute error = 1.110223024625157e-15 relative error = 9.78449326068554e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5260000000000004 y[1] (closed_form) = 1.135177703960132 y[1] (numeric) = 1.135177703960133 absolute error = 1.110223024625157e-15 relative error = 9.780169402130435e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5270000000000004 y[1] (closed_form) = 1.135680214365429 y[1] (numeric) = 1.13568021436543 absolute error = 1.110223024625157e-15 relative error = 9.775841919069649e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5280000000000004 y[1] (closed_form) = 1.136183589090439 y[1] (numeric) = 1.136183589090441 absolute error = 1.332267629550188e-15 relative error = 1.172581299661898e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5290000000000004 y[1] (closed_form) = 1.136687827631789 y[1] (numeric) = 1.13668782763179 absolute error = 1.332267629550188e-15 relative error = 1.172061138655699e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5300000000000004 y[1] (closed_form) = 1.137192929485239 y[1] (numeric) = 1.137192929485241 absolute error = 1.332267629550188e-15 relative error = 1.171540549547077e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5310000000000004 y[1] (closed_form) = 1.137698894145688 y[1] (numeric) = 1.137698894145689 absolute error = 1.332267629550188e-15 relative error = 1.171019534611224e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5320000000000004 y[1] (closed_form) = 1.13820572110717 y[1] (numeric) = 1.138205721107172 absolute error = 1.332267629550188e-15 relative error = 1.170498096121189e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5330000000000004 y[1] (closed_form) = 1.13871340986286 y[1] (numeric) = 1.138713409862861 absolute error = 1.110223024625157e-15 relative error = 9.749801969565504e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5340000000000004 y[1] (closed_form) = 1.139221959905068 y[1] (numeric) = 1.139221959905069 absolute error = 1.110223024625157e-15 relative error = 9.74544964633294e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5350000000000004 y[1] (closed_form) = 1.139731370725245 y[1] (numeric) = 1.139731370725246 absolute error = 1.110223024625157e-15 relative error = 9.741093850199885e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5360000000000004 y[1] (closed_form) = 1.140241641813978 y[1] (numeric) = 1.14024164181398 absolute error = 1.110223024625157e-15 relative error = 9.736734600035601e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5370000000000004 y[1] (closed_form) = 1.140752772660999 y[1] (numeric) = 1.140752772661 absolute error = 1.110223024625157e-15 relative error = 9.7323719146908e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5380000000000004 y[1] (closed_form) = 1.141264762755175 y[1] (numeric) = 1.141264762755176 absolute error = 1.110223024625157e-15 relative error = 9.728005812997506e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5390000000000004 y[1] (closed_form) = 1.141777611584517 y[1] (numeric) = 1.141777611584518 absolute error = 1.332267629550188e-15 relative error = 1.166836357652271e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5400000000000004 y[1] (closed_form) = 1.142291318636176 y[1] (numeric) = 1.142291318636177 absolute error = 1.110223024625157e-15 relative error = 9.71926343579931e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5410000000000004 y[1] (closed_form) = 1.142805883396445 y[1] (numeric) = 1.142805883396446 absolute error = 1.110223024625157e-15 relative error = 9.714887197863812e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5420000000000004 y[1] (closed_form) = 1.143321305350759 y[1] (numeric) = 1.14332130535076 absolute error = 1.110223024625157e-15 relative error = 9.710507618718362e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5430000000000004 y[1] (closed_form) = 1.143837583983696 y[1] (numeric) = 1.143837583983697 absolute error = 1.110223024625157e-15 relative error = 9.706124717099535e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5440000000000004 y[1] (closed_form) = 1.144354718778978 y[1] (numeric) = 1.144354718778979 absolute error = 1.332267629550188e-15 relative error = 1.164208621406929e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5450000000000004 y[1] (closed_form) = 1.144872709219469 y[1] (numeric) = 1.144872709219471 absolute error = 1.332267629550188e-15 relative error = 1.163681882554854e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5460000000000004 y[1] (closed_form) = 1.145391554787181 y[1] (numeric) = 1.145391554787182 absolute error = 1.110223024625157e-15 relative error = 9.692956264475351e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5470000000000004 y[1] (closed_form) = 1.145911254963266 y[1] (numeric) = 1.145911254963267 absolute error = 1.110223024625157e-15 relative error = 9.68856025993694e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5480000000000004 y[1] (closed_form) = 1.146431809228025 y[1] (numeric) = 1.146431809228026 absolute error = 8.881784197001252e-16 relative error = 7.747328821050416e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5490000000000004 y[1] (closed_form) = 1.146953217060904 y[1] (numeric) = 1.146953217060905 absolute error = 1.110223024625157e-15 relative error = 9.679758582221258e-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) = 1.147475477940494 y[1] (numeric) = 1.147475477940495 absolute error = 1.110223024625157e-15 relative error = 9.675352946259043e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5510000000000004 y[1] (closed_form) = 1.147998591344536 y[1] (numeric) = 1.147998591344537 absolute error = 8.881784197001252e-16 relative error = 7.736755309602693e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5520000000000004 y[1] (closed_form) = 1.148522556749915 y[1] (numeric) = 1.148522556749916 absolute error = 8.881784197001252e-16 relative error = 7.733225738408561e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5530000000000004 y[1] (closed_form) = 1.149047373632667 y[1] (numeric) = 1.149047373632668 absolute error = 8.881784197001252e-16 relative error = 7.729693658253488e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5540000000000004 y[1] (closed_form) = 1.149573041467974 y[1] (numeric) = 1.149573041467975 absolute error = 6.661338147750939e-16 relative error = 5.794619312962131e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5550000000000004 y[1] (closed_form) = 1.150099559730169 y[1] (numeric) = 1.15009955973017 absolute error = 6.661338147750939e-16 relative error = 5.791966522718948e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5560000000000004 y[1] (closed_form) = 1.150626927892733 y[1] (numeric) = 1.150626927892734 absolute error = 8.881784197001252e-16 relative error = 7.719082512059249e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5570000000000004 y[1] (closed_form) = 1.151155145428298 y[1] (numeric) = 1.151155145428299 absolute error = 6.661338147750939e-16 relative error = 5.786655408009773e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5580000000000004 y[1] (closed_form) = 1.151684211808648 y[1] (numeric) = 1.151684211808648 absolute error = 6.661338147750939e-16 relative error = 5.783997105673374e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5590000000000004 y[1] (closed_form) = 1.152214126504715 y[1] (numeric) = 1.152214126504715 absolute error = 6.661338147750939e-16 relative error = 5.78133698808082e-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) = 1.152744888986584 y[1] (numeric) = 1.152744888986585 absolute error = 6.661338147750939e-16 relative error = 5.778675066264783e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5610000000000004 y[1] (closed_form) = 1.153276498723494 y[1] (numeric) = 1.153276498723495 absolute error = 8.881784197001252e-16 relative error = 7.701348468326606e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5620000000000004 y[1] (closed_form) = 1.153808955183835 y[1] (numeric) = 1.153808955183836 absolute error = 8.881784197001252e-16 relative error = 7.697794472037296e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5630000000000004 y[1] (closed_form) = 1.15434225783515 y[1] (numeric) = 1.154342257835151 absolute error = 8.881784197001252e-16 relative error = 7.694238114143136e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5640000000000004 y[1] (closed_form) = 1.154876406144137 y[1] (numeric) = 1.154876406144137 absolute error = 6.661338147750939e-16 relative error = 5.768009556963411e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5650000000000004 y[1] (closed_form) = 1.155411399576647 y[1] (numeric) = 1.155411399576648 absolute error = 8.881784197001252e-16 relative error = 7.687118372084279e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5660000000000004 y[1] (closed_form) = 1.155947237597687 y[1] (numeric) = 1.155947237597688 absolute error = 8.881784197001252e-16 relative error = 7.683555017147284e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5670000000000004 y[1] (closed_form) = 1.15648391967142 y[1] (numeric) = 1.15648391967142 absolute error = 6.661338147750939e-16 relative error = 5.759992019295486e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5680000000000004 y[1] (closed_form) = 1.157021445261162 y[1] (numeric) = 1.157021445261163 absolute error = 8.881784197001252e-16 relative error = 7.676421412393496e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5690000000000004 y[1] (closed_form) = 1.157559813829389 y[1] (numeric) = 1.157559813829389 absolute error = 6.661338147750939e-16 relative error = 5.754638393772665e-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) = 1.158099024837731 y[1] (numeric) = 1.158099024837732 absolute error = 8.881784197001252e-16 relative error = 7.669278711503739e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5710000000000004 y[1] (closed_form) = 1.158639077746979 y[1] (numeric) = 1.15863907774698 absolute error = 8.881784197001252e-16 relative error = 7.665703986328721e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5720000000000004 y[1] (closed_form) = 1.159179972017079 y[1] (numeric) = 1.15917997201708 absolute error = 8.881784197001252e-16 relative error = 7.662127030668185e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5730000000000004 y[1] (closed_form) = 1.159721707107137 y[1] (numeric) = 1.159721707107138 absolute error = 8.881784197001252e-16 relative error = 7.658547859000054e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5740000000000004 y[1] (closed_form) = 1.160264282475418 y[1] (numeric) = 1.160264282475419 absolute error = 6.661338147750939e-16 relative error = 5.741224864337811e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5750000000000004 y[1] (closed_form) = 1.160807697579346 y[1] (numeric) = 1.160807697579347 absolute error = 8.881784197001252e-16 relative error = 7.651382925460094e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5760000000000004 y[1] (closed_form) = 1.161351951875507 y[1] (numeric) = 1.161351951875508 absolute error = 6.661338147750939e-16 relative error = 5.735847894338419e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5770000000000004 y[1] (closed_form) = 1.161897044819646 y[1] (numeric) = 1.161897044819647 absolute error = 6.661338147750939e-16 relative error = 5.733156975870386e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5780000000000004 y[1] (closed_form) = 1.16244297586667 y[1] (numeric) = 1.162442975866671 absolute error = 8.881784197001252e-16 relative error = 7.640619265972472e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5790000000000004 y[1] (closed_form) = 1.162989744470649 y[1] (numeric) = 1.16298974447065 absolute error = 8.881784197001252e-16 relative error = 7.637027101252662e-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) = 1.163537350084813 y[1] (numeric) = 1.163537350084814 absolute error = 6.661338147750939e-16 relative error = 5.725074616010716e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5810000000000004 y[1] (closed_form) = 1.164085792161558 y[1] (numeric) = 1.164085792161559 absolute error = 8.881784197001252e-16 relative error = 7.629836440584777e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5820000000000004 y[1] (closed_form) = 1.164635070152441 y[1] (numeric) = 1.164635070152442 absolute error = 8.881784197001252e-16 relative error = 7.626237973272351e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5830000000000004 y[1] (closed_form) = 1.165185183508184 y[1] (numeric) = 1.165185183508185 absolute error = 8.881784197001252e-16 relative error = 7.622637433699284e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5840000000000004 y[1] (closed_form) = 1.165736131678674 y[1] (numeric) = 1.165736131678675 absolute error = 8.881784197001252e-16 relative error = 7.619034836135154e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5850000000000004 y[1] (closed_form) = 1.166287914112963 y[1] (numeric) = 1.166287914112964 absolute error = 8.881784197001252e-16 relative error = 7.615430194830084e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5860000000000004 y[1] (closed_form) = 1.166840530259268 y[1] (numeric) = 1.166840530259269 absolute error = 1.110223024625157e-15 relative error = 9.514779405018345e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5870000000000004 y[1] (closed_form) = 1.167393979564973 y[1] (numeric) = 1.167393979564974 absolute error = 1.110223024625157e-15 relative error = 9.510268547374886e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5880000000000004 y[1] (closed_form) = 1.16794826147663 y[1] (numeric) = 1.167948261476631 absolute error = 8.881784197001252e-16 relative error = 7.604604150677072e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5890000000000004 y[1] (closed_form) = 1.168503375439956 y[1] (numeric) = 1.168503375439957 absolute error = 8.881784197001252e-16 relative error = 7.600991476517688e-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) = 1.169059320899837 y[1] (numeric) = 1.169059320899838 absolute error = 8.881784197001252e-16 relative error = 7.597376829573415e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5910000000000004 y[1] (closed_form) = 1.169616097300328 y[1] (numeric) = 1.169616097300328 absolute error = 8.881784197001252e-16 relative error = 7.593760223975985e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5920000000000004 y[1] (closed_form) = 1.170173704084652 y[1] (numeric) = 1.170173704084653 absolute error = 8.881784197001252e-16 relative error = 7.59014167383711e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5930000000000004 y[1] (closed_form) = 1.170732140695203 y[1] (numeric) = 1.170732140695204 absolute error = 8.881784197001252e-16 relative error = 7.586521193248422e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5940000000000004 y[1] (closed_form) = 1.171291406573544 y[1] (numeric) = 1.171291406573545 absolute error = 8.881784197001252e-16 relative error = 7.582898796281377e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5950000000000004 y[1] (closed_form) = 1.17185150116041 y[1] (numeric) = 1.171851501160411 absolute error = 8.881784197001252e-16 relative error = 7.57927449698719e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5960000000000004 y[1] (closed_form) = 1.172412423895706 y[1] (numeric) = 1.172412423895707 absolute error = 1.110223024625157e-15 relative error = 9.469560386745941e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5970000000000004 y[1] (closed_form) = 1.172974174218508 y[1] (numeric) = 1.172974174218509 absolute error = 8.881784197001252e-16 relative error = 7.572020247520557e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5980000000000004 y[1] (closed_form) = 1.173536751567068 y[1] (numeric) = 1.173536751567069 absolute error = 8.881784197001252e-16 relative error = 7.568390325348626e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.5990000000000004 y[1] (closed_form) = 1.174100155378807 y[1] (numeric) = 1.174100155378808 absolute error = 8.881784197001252e-16 relative error = 7.564758556850432e-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) = 1.174664385090322 y[1] (numeric) = 1.174664385090323 absolute error = 1.110223024625157e-15 relative error = 9.45140619496853e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6010000000000004 y[1] (closed_form) = 1.175229440137383 y[1] (numeric) = 1.175229440137384 absolute error = 1.110223024625157e-15 relative error = 9.446861920812441e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6020000000000004 y[1] (closed_form) = 1.175795319954935 y[1] (numeric) = 1.175795319954936 absolute error = 8.881784197001252e-16 relative error = 7.553852312783203e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6030000000000004 y[1] (closed_form) = 1.176362023977099 y[1] (numeric) = 1.1763620239771 absolute error = 8.881784197001252e-16 relative error = 7.550213298261117e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6040000000000004 y[1] (closed_form) = 1.17692955163717 y[1] (numeric) = 1.176929551637171 absolute error = 8.881784197001252e-16 relative error = 7.546572506949318e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6050000000000004 y[1] (closed_form) = 1.17749790236762 y[1] (numeric) = 1.177497902367621 absolute error = 8.881784197001252e-16 relative error = 7.542929952692449e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6060000000000004 y[1] (closed_form) = 1.1780670756001 y[1] (numeric) = 1.178067075600101 absolute error = 8.881784197001252e-16 relative error = 7.539285649314092e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6070000000000004 y[1] (closed_form) = 1.178637070765436 y[1] (numeric) = 1.178637070765437 absolute error = 8.881784197001252e-16 relative error = 7.535639610616697e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6080000000000004 y[1] (closed_form) = 1.179207887293632 y[1] (numeric) = 1.179207887293633 absolute error = 8.881784197001252e-16 relative error = 7.531991850381523e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6090000000000004 y[1] (closed_form) = 1.179779524613873 y[1] (numeric) = 1.179779524613874 absolute error = 8.881784197001252e-16 relative error = 7.528342382368561e-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) = 1.180351982154521 y[1] (numeric) = 1.180351982154522 absolute error = 8.881784197001252e-16 relative error = 7.52469122031646e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6110000000000004 y[1] (closed_form) = 1.180925259343118 y[1] (numeric) = 1.180925259343119 absolute error = 8.881784197001252e-16 relative error = 7.521038377942467e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6120000000000004 y[1] (closed_form) = 1.181499355606388 y[1] (numeric) = 1.181499355606389 absolute error = 6.661338147750939e-16 relative error = 5.638037901706769e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6130000000000004 y[1] (closed_form) = 1.182074270370234 y[1] (numeric) = 1.182074270370234 absolute error = 6.661338147750939e-16 relative error = 5.635295780242778e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6140000000000004 y[1] (closed_form) = 1.182650003059741 y[1] (numeric) = 1.182650003059742 absolute error = 8.881784197001252e-16 relative error = 7.510069905739131e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6150000000000004 y[1] (closed_form) = 1.183226553099177 y[1] (numeric) = 1.183226553099178 absolute error = 6.661338147750939e-16 relative error = 5.629807859114694e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6160000000000004 y[1] (closed_form) = 1.183803919911993 y[1] (numeric) = 1.183803919911993 absolute error = 6.661338147750939e-16 relative error = 5.627062079880731e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6170000000000004 y[1] (closed_form) = 1.18438210292082 y[1] (numeric) = 1.18438210292082 absolute error = 6.661338147750939e-16 relative error = 5.624315101793019e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6180000000000004 y[1] (closed_form) = 1.184961101547476 y[1] (numeric) = 1.184961101547477 absolute error = 8.881784197001252e-16 relative error = 7.495422580034288e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6190000000000004 y[1] (closed_form) = 1.185540915212963 y[1] (numeric) = 1.185540915212963 absolute error = 6.661338147750939e-16 relative error = 5.61881758973653e-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) = 1.186121543337466 y[1] (numeric) = 1.186121543337467 absolute error = 8.881784197001252e-16 relative error = 7.48808943475557e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6210000000000004 y[1] (closed_form) = 1.186702985340359 y[1] (numeric) = 1.18670298534036 absolute error = 6.661338147750939e-16 relative error = 5.613315404140824e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6220000000000004 y[1] (closed_form) = 1.187285240640198 y[1] (numeric) = 1.187285240640199 absolute error = 8.881784197001252e-16 relative error = 7.480750112089399e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6230000000000004 y[1] (closed_form) = 1.187868308654729 y[1] (numeric) = 1.18786830865473 absolute error = 8.881784197001252e-16 relative error = 7.477078167915724e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6240000000000004 y[1] (closed_form) = 1.188452188800884 y[1] (numeric) = 1.188452188800885 absolute error = 6.661338147750939e-16 relative error = 5.60505353982481e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6250000000000004 y[1] (closed_form) = 1.189036880494782 y[1] (numeric) = 1.189036880494783 absolute error = 6.661338147750939e-16 relative error = 5.602297335789132e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6260000000000004 y[1] (closed_form) = 1.189622383151733 y[1] (numeric) = 1.189622383151733 absolute error = 6.661338147750939e-16 relative error = 5.59954002387101e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6270000000000004 y[1] (closed_form) = 1.190208696186232 y[1] (numeric) = 1.190208696186233 absolute error = 6.661338147750939e-16 relative error = 5.596781614094877e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6280000000000004 y[1] (closed_form) = 1.190795819011968 y[1] (numeric) = 1.190795819011969 absolute error = 6.661338147750939e-16 relative error = 5.594022116468306e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6290000000000004 y[1] (closed_form) = 1.191383751041817 y[1] (numeric) = 1.191383751041818 absolute error = 8.881784197001252e-16 relative error = 7.455015387975947e-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) = 1.191972491687848 y[1] (numeric) = 1.191972491687849 absolute error = 6.661338147750939e-16 relative error = 5.588499897609548e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6310000000000004 y[1] (closed_form) = 1.19256204036132 y[1] (numeric) = 1.192562040361321 absolute error = 6.661338147750939e-16 relative error = 5.58573719630779e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6320000000000005 y[1] (closed_form) = 1.193152396472685 y[1] (numeric) = 1.193152396472685 absolute error = 6.661338147750939e-16 relative error = 5.582973447016363e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6330000000000005 y[1] (closed_form) = 1.193743559431585 y[1] (numeric) = 1.193743559431586 absolute error = 6.661338147750939e-16 relative error = 5.580208659657868e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6340000000000005 y[1] (closed_form) = 1.194335528646859 y[1] (numeric) = 1.19433552864686 absolute error = 6.661338147750939e-16 relative error = 5.577442844137781e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6350000000000005 y[1] (closed_form) = 1.194928303526537 y[1] (numeric) = 1.194928303526538 absolute error = 6.661338147750939e-16 relative error = 5.574676010344416e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6360000000000005 y[1] (closed_form) = 1.195521883477845 y[1] (numeric) = 1.195521883477846 absolute error = 6.661338147750939e-16 relative error = 5.571908168148881e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6370000000000005 y[1] (closed_form) = 1.196116267907202 y[1] (numeric) = 1.196116267907203 absolute error = 4.440892098500626e-16 relative error = 3.712759551603358e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6380000000000005 y[1] (closed_form) = 1.196711456220224 y[1] (numeric) = 1.196711456220225 absolute error = 4.440892098500626e-16 relative error = 3.710912998632975e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6390000000000005 y[1] (closed_form) = 1.197307447821723 y[1] (numeric) = 1.197307447821724 absolute error = 4.440892098500626e-16 relative error = 3.709065793067601e-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) = 1.197904242115708 y[1] (numeric) = 1.197904242115708 absolute error = 4.440892098500626e-16 relative error = 3.707217941441827e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6410000000000005 y[1] (closed_form) = 1.198501838505383 y[1] (numeric) = 1.198501838505384 absolute error = 4.440892098500626e-16 relative error = 3.705369450278636e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6420000000000005 y[1] (closed_form) = 1.199100236393153 y[1] (numeric) = 1.199100236393154 absolute error = 4.440892098500626e-16 relative error = 3.703520326089382e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6430000000000005 y[1] (closed_form) = 1.19969943518062 y[1] (numeric) = 1.19969943518062 absolute error = 6.661338147750939e-16 relative error = 5.552505863060648e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6440000000000005 y[1] (closed_form) = 1.200299434268585 y[1] (numeric) = 1.200299434268586 absolute error = 6.661338147750939e-16 relative error = 5.5497303069297e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6450000000000005 y[1] (closed_form) = 1.200900233057049 y[1] (numeric) = 1.20090023305705 absolute error = 6.661338147750939e-16 relative error = 5.546953830455698e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6460000000000005 y[1] (closed_form) = 1.201501830945214 y[1] (numeric) = 1.201501830945214 absolute error = 4.440892098500626e-16 relative error = 3.696117628890341e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6470000000000005 y[1] (closed_form) = 1.202104227331481 y[1] (numeric) = 1.202104227331481 absolute error = 4.440892098500626e-16 relative error = 3.69426543683225e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6480000000000005 y[1] (closed_form) = 1.202707421613454 y[1] (numeric) = 1.202707421613454 absolute error = 4.440892098500626e-16 relative error = 3.692412650570568e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6490000000000005 y[1] (closed_form) = 1.203311413187939 y[1] (numeric) = 1.203311413187939 absolute error = 4.440892098500626e-16 relative error = 3.690559276534533e-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) = 1.203916201450944 y[1] (numeric) = 1.203916201450945 absolute error = 4.440892098500626e-16 relative error = 3.688705321141554e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6510000000000005 y[1] (closed_form) = 1.204521785797682 y[1] (numeric) = 1.204521785797683 absolute error = 4.440892098500626e-16 relative error = 3.686850790797189e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6520000000000005 y[1] (closed_form) = 1.205128165622568 y[1] (numeric) = 1.205128165622568 absolute error = 4.440892098500626e-16 relative error = 3.684995691895116e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6530000000000005 y[1] (closed_form) = 1.205735340319222 y[1] (numeric) = 1.205735340319222 absolute error = 4.440892098500626e-16 relative error = 3.683140030817118e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6540000000000005 y[1] (closed_form) = 1.206343309280469 y[1] (numeric) = 1.206343309280469 absolute error = 4.440892098500626e-16 relative error = 3.681283813933053e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6550000000000005 y[1] (closed_form) = 1.206952071898341 y[1] (numeric) = 1.206952071898341 absolute error = 4.440892098500626e-16 relative error = 3.679427047600838e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6560000000000005 y[1] (closed_form) = 1.207561627564075 y[1] (numeric) = 1.207561627564075 absolute error = 6.661338147750939e-16 relative error = 5.516354607249625e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6570000000000005 y[1] (closed_form) = 1.208171975668115 y[1] (numeric) = 1.208171975668116 absolute error = 6.661338147750939e-16 relative error = 5.513567837945623e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6580000000000005 y[1] (closed_form) = 1.208783115600114 y[1] (numeric) = 1.208783115600114 absolute error = 4.440892098500626e-16 relative error = 3.673853515314777e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6590000000000005 y[1] (closed_form) = 1.209395046748931 y[1] (numeric) = 1.209395046748931 absolute error = 4.440892098500626e-16 relative error = 3.671994614529417e-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) = 1.210007768502635 y[1] (numeric) = 1.210007768502636 absolute error = 2.220446049250313e-16 relative error = 1.835067597952762e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6610000000000005 y[1] (closed_form) = 1.210621280248505 y[1] (numeric) = 1.210621280248506 absolute error = 2.220446049250313e-16 relative error = 1.834137632864441e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6620000000000005 y[1] (closed_form) = 1.21123558137303 y[1] (numeric) = 1.21123558137303 absolute error = 2.220446049250313e-16 relative error = 1.833207415136587e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6630000000000005 y[1] (closed_form) = 1.211850671261906 y[1] (numeric) = 1.211850671261907 absolute error = 4.440892098500626e-16 relative error = 3.664553895799968e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6640000000000005 y[1] (closed_form) = 1.212466549300046 y[1] (numeric) = 1.212466549300047 absolute error = 4.440892098500626e-16 relative error = 3.662692468558692e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6650000000000005 y[1] (closed_form) = 1.213083214871572 y[1] (numeric) = 1.213083214871572 absolute error = 4.440892098500626e-16 relative error = 3.660830554786616e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6660000000000005 y[1] (closed_form) = 1.213700667359816 y[1] (numeric) = 1.213700667359817 absolute error = 4.440892098500626e-16 relative error = 3.65896816070883e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6670000000000005 y[1] (closed_form) = 1.214318906147328 y[1] (numeric) = 1.214318906147329 absolute error = 4.440892098500626e-16 relative error = 3.657105292538229e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6680000000000005 y[1] (closed_form) = 1.214937930615868 y[1] (numeric) = 1.214937930615869 absolute error = 4.440892098500626e-16 relative error = 3.655241956475487e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6690000000000005 y[1] (closed_form) = 1.215557740146412 y[1] (numeric) = 1.215557740146413 absolute error = 4.440892098500626e-16 relative error = 3.653378158709043e-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) = 1.216178334119151 y[1] (numeric) = 1.216178334119151 absolute error = 4.440892098500626e-16 relative error = 3.651513905415079e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6710000000000005 y[1] (closed_form) = 1.21679971191349 y[1] (numeric) = 1.216799711913491 absolute error = 2.220446049250313e-16 relative error = 1.82482460137875e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6720000000000005 y[1] (closed_form) = 1.217421872908052 y[1] (numeric) = 1.217421872908053 absolute error = 4.440892098500626e-16 relative error = 3.647784056887921e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6730000000000005 y[1] (closed_form) = 1.218044816480676 y[1] (numeric) = 1.218044816480677 absolute error = 4.440892098500626e-16 relative error = 3.645918473945642e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6740000000000005 y[1] (closed_form) = 1.218668542008418 y[1] (numeric) = 1.218668542008419 absolute error = 4.440892098500626e-16 relative error = 3.644052460057634e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6750000000000005 y[1] (closed_form) = 1.219293048867554 y[1] (numeric) = 1.219293048867554 absolute error = 2.220446049250313e-16 relative error = 1.821093010669259e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6760000000000005 y[1] (closed_form) = 1.219918336433575 y[1] (numeric) = 1.219918336433575 absolute error = 2.220446049250313e-16 relative error = 1.820159581945277e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6770000000000005 y[1] (closed_form) = 1.220544404081194 y[1] (numeric) = 1.220544404081195 absolute error = 2.220446049250313e-16 relative error = 1.819225946901807e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6780000000000005 y[1] (closed_form) = 1.221171251184345 y[1] (numeric) = 1.221171251184345 absolute error = 2.220446049250313e-16 relative error = 1.818292108577587e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6790000000000005 y[1] (closed_form) = 1.22179887711618 y[1] (numeric) = 1.22179887711618 absolute error = 0 relative error = 0 % 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) = 1.222427281249072 y[1] (numeric) = 1.222427281249072 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6810000000000005 y[1] (closed_form) = 1.223056462954619 y[1] (numeric) = 1.223056462954619 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6820000000000005 y[1] (closed_form) = 1.223686421603638 y[1] (numeric) = 1.223686421603638 absolute error = 2.220446049250313e-16 relative error = 1.814554783030463e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6830000000000005 y[1] (closed_form) = 1.224317156566171 y[1] (numeric) = 1.22431715656617 absolute error = 2.220446049250313e-16 relative error = 1.813619973665953e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6840000000000005 y[1] (closed_form) = 1.224948667211482 y[1] (numeric) = 1.224948667211482 absolute error = 2.220446049250313e-16 relative error = 1.812684979122446e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6850000000000005 y[1] (closed_form) = 1.225580952908062 y[1] (numeric) = 1.225580952908061 absolute error = 2.220446049250313e-16 relative error = 1.811749802395046e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6860000000000005 y[1] (closed_form) = 1.226214013023624 y[1] (numeric) = 1.226214013023624 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6870000000000005 y[1] (closed_form) = 1.226847846925109 y[1] (numeric) = 1.226847846925108 absolute error = 2.220446049250313e-16 relative error = 1.809878914337662e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6880000000000005 y[1] (closed_form) = 1.227482453978682 y[1] (numeric) = 1.227482453978681 absolute error = 2.220446049250313e-16 relative error = 1.808943208966534e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6890000000000005 y[1] (closed_form) = 1.228117833549736 y[1] (numeric) = 1.228117833549736 absolute error = 0 relative error = 0 % 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) = 1.228753985002894 y[1] (numeric) = 1.228753985002893 absolute error = 2.220446049250313e-16 relative error = 1.807071290389414e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6910000000000005 y[1] (closed_form) = 1.229390907702002 y[1] (numeric) = 1.229390907702001 absolute error = 2.220446049250313e-16 relative error = 1.806135083104534e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6920000000000005 y[1] (closed_form) = 1.230028601010138 y[1] (numeric) = 1.230028601010137 absolute error = 4.440892098500626e-16 relative error = 3.610397428851352e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6930000000000005 y[1] (closed_form) = 1.230667064289608 y[1] (numeric) = 1.230667064289608 absolute error = 4.440892098500626e-16 relative error = 3.608524374595246e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6940000000000005 y[1] (closed_form) = 1.231306296901951 y[1] (numeric) = 1.23130629690195 absolute error = 4.440892098500626e-16 relative error = 3.606651009317673e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6950000000000005 y[1] (closed_form) = 1.231946298207932 y[1] (numeric) = 1.231946298207931 absolute error = 4.440892098500626e-16 relative error = 3.604777338882898e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6960000000000005 y[1] (closed_form) = 1.232587067567551 y[1] (numeric) = 1.232587067567551 absolute error = 4.440892098500626e-16 relative error = 3.602903369142518e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6970000000000005 y[1] (closed_form) = 1.233228604340038 y[1] (numeric) = 1.233228604340038 absolute error = 2.220446049250313e-16 relative error = 1.800514552967723e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6980000000000005 y[1] (closed_form) = 1.233870907883858 y[1] (numeric) = 1.233870907883858 absolute error = 2.220446049250313e-16 relative error = 1.799577277543948e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.6990000000000005 y[1] (closed_form) = 1.234513977556706 y[1] (numeric) = 1.234513977556705 absolute error = 2.220446049250313e-16 relative error = 1.798639861206691e-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) = 1.235157812715512 y[1] (numeric) = 1.235157812715512 absolute error = 2.220446049250313e-16 relative error = 1.797702306856345e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7010000000000005 y[1] (closed_form) = 1.235802412716442 y[1] (numeric) = 1.235802412716442 absolute error = 2.220446049250313e-16 relative error = 1.796764617386939e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7020000000000005 y[1] (closed_form) = 1.236447776914895 y[1] (numeric) = 1.236447776914895 absolute error = 2.220446049250313e-16 relative error = 1.795826795686128e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7030000000000005 y[1] (closed_form) = 1.237093904665508 y[1] (numeric) = 1.237093904665508 absolute error = 2.220446049250313e-16 relative error = 1.794888844635193e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7040000000000005 y[1] (closed_form) = 1.237740795322153 y[1] (numeric) = 1.237740795322152 absolute error = 2.220446049250313e-16 relative error = 1.793950767109027e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7050000000000005 y[1] (closed_form) = 1.238388448237939 y[1] (numeric) = 1.238388448237938 absolute error = 4.440892098500626e-16 relative error = 3.586025131952274e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7060000000000005 y[1] (closed_form) = 1.239036862765213 y[1] (numeric) = 1.239036862765212 absolute error = 4.440892098500626e-16 relative error = 3.584148488197271e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7070000000000005 y[1] (closed_form) = 1.239686038255561 y[1] (numeric) = 1.23968603825556 absolute error = 6.661338147750939e-16 relative error = 5.373407412996699e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7080000000000005 y[1] (closed_form) = 1.240335974059807 y[1] (numeric) = 1.240335974059807 absolute error = 4.440892098500626e-16 relative error = 3.580394499052475e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7090000000000005 y[1] (closed_form) = 1.240986669528016 y[1] (numeric) = 1.240986669528016 absolute error = 4.440892098500626e-16 relative error = 3.57851716504709e-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) = 1.241638124009492 y[1] (numeric) = 1.241638124009492 absolute error = 2.220446049250313e-16 relative error = 1.788319806160638e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7110000000000005 y[1] (closed_form) = 1.242290336852781 y[1] (numeric) = 1.242290336852781 absolute error = 4.440892098500626e-16 relative error = 3.574761846535154e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7120000000000005 y[1] (closed_form) = 1.24294330740567 y[1] (numeric) = 1.24294330740567 absolute error = 4.440892098500626e-16 relative error = 3.572883873335998e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7130000000000005 y[1] (closed_form) = 1.243597035015189 y[1] (numeric) = 1.243597035015188 absolute error = 4.440892098500626e-16 relative error = 3.57100569835822e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7140000000000005 y[1] (closed_form) = 1.244251519027609 y[1] (numeric) = 1.244251519027609 absolute error = 4.440892098500626e-16 relative error = 3.569127327223368e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7150000000000005 y[1] (closed_form) = 1.244906758788447 y[1] (numeric) = 1.244906758788447 absolute error = 4.440892098500626e-16 relative error = 3.567248765540108e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7160000000000005 y[1] (closed_form) = 1.245562753642464 y[1] (numeric) = 1.245562753642464 absolute error = 4.440892098500626e-16 relative error = 3.565370018904221e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7170000000000005 y[1] (closed_form) = 1.246219502933664 y[1] (numeric) = 1.246219502933664 absolute error = 4.440892098500626e-16 relative error = 3.563491092898593e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7180000000000005 y[1] (closed_form) = 1.246877006005299 y[1] (numeric) = 1.246877006005298 absolute error = 4.440892098500626e-16 relative error = 3.561611993093209e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7190000000000005 y[1] (closed_form) = 1.247535262199865 y[1] (numeric) = 1.247535262199864 absolute error = 4.440892098500626e-16 relative error = 3.559732725045139e-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) = 1.248194270859105 y[1] (numeric) = 1.248194270859105 absolute error = 4.440892098500626e-16 relative error = 3.557853294298535e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7210000000000005 y[1] (closed_form) = 1.248854031324013 y[1] (numeric) = 1.248854031324012 absolute error = 4.440892098500626e-16 relative error = 3.555973706384622e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7220000000000005 y[1] (closed_form) = 1.249514542934826 y[1] (numeric) = 1.249514542934826 absolute error = 4.440892098500626e-16 relative error = 3.55409396682169e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7230000000000005 y[1] (closed_form) = 1.250175805031034 y[1] (numeric) = 1.250175805031033 absolute error = 4.440892098500626e-16 relative error = 3.552214081115085e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7240000000000005 y[1] (closed_form) = 1.250837816951374 y[1] (numeric) = 1.250837816951374 absolute error = 4.440892098500626e-16 relative error = 3.550334054757208e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7250000000000005 y[1] (closed_form) = 1.251500578033835 y[1] (numeric) = 1.251500578033835 absolute error = 4.440892098500626e-16 relative error = 3.548453893227497e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7260000000000005 y[1] (closed_form) = 1.252164087615656 y[1] (numeric) = 1.252164087615655 absolute error = 2.220446049250313e-16 relative error = 1.773286800996217e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7270000000000005 y[1] (closed_form) = 1.252828345033326 y[1] (numeric) = 1.252828345033326 absolute error = 2.220446049250313e-16 relative error = 1.772346593252763e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7280000000000005 y[1] (closed_form) = 1.25349334962259 y[1] (numeric) = 1.25349334962259 absolute error = 2.220446049250313e-16 relative error = 1.771406326103653e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7290000000000005 y[1] (closed_form) = 1.254159100718441 y[1] (numeric) = 1.254159100718441 absolute error = 2.220446049250313e-16 relative error = 1.770466002262661e-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) = 1.25482559765513 y[1] (numeric) = 1.25482559765513 absolute error = 4.440892098500626e-16 relative error = 3.539051248874139e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7310000000000005 y[1] (closed_form) = 1.255492839766159 y[1] (numeric) = 1.255492839766159 absolute error = 2.220446049250313e-16 relative error = 1.768585195327662e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7320000000000005 y[1] (closed_form) = 1.256160826384286 y[1] (numeric) = 1.256160826384286 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7330000000000005 y[1] (closed_form) = 1.256829556841525 y[1] (numeric) = 1.256829556841525 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7340000000000005 y[1] (closed_form) = 1.257499030469145 y[1] (numeric) = 1.257499030469145 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7350000000000005 y[1] (closed_form) = 1.258169246597672 y[1] (numeric) = 1.258169246597672 absolute error = 2.220446049250313e-16 relative error = 1.764823019839993e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7360000000000005 y[1] (closed_form) = 1.258840204556891 y[1] (numeric) = 1.258840204556892 absolute error = 2.220446049250313e-16 relative error = 1.763882374595674e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7370000000000005 y[1] (closed_form) = 1.259511903675844 y[1] (numeric) = 1.259511903675844 absolute error = 2.220446049250313e-16 relative error = 1.762941694135652e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7380000000000005 y[1] (closed_form) = 1.260184343282832 y[1] (numeric) = 1.260184343282832 absolute error = 2.220446049250313e-16 relative error = 1.76200098111516e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7390000000000005 y[1] (closed_form) = 1.260857522705414 y[1] (numeric) = 1.260857522705414 absolute error = 2.220446049250313e-16 relative error = 1.761060238182912e-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) = 1.261531441270412 y[1] (numeric) = 1.261531441270413 absolute error = 2.220446049250313e-16 relative error = 1.760119467981103e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7410000000000005 y[1] (closed_form) = 1.262206098303908 y[1] (numeric) = 1.262206098303908 absolute error = 2.220446049250313e-16 relative error = 1.75917867314541e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7420000000000005 y[1] (closed_form) = 1.262881493131244 y[1] (numeric) = 1.262881493131244 absolute error = 2.220446049250313e-16 relative error = 1.758237856304982e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7430000000000005 y[1] (closed_form) = 1.263557625077025 y[1] (numeric) = 1.263557625077025 absolute error = 2.220446049250313e-16 relative error = 1.75729702008245e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7440000000000005 y[1] (closed_form) = 1.264234493465119 y[1] (numeric) = 1.26423449346512 absolute error = 2.220446049250313e-16 relative error = 1.756356167093914e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7450000000000006 y[1] (closed_form) = 1.264912097618659 y[1] (numeric) = 1.264912097618659 absolute error = 2.220446049250313e-16 relative error = 1.755415299948949e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7460000000000006 y[1] (closed_form) = 1.26559043686004 y[1] (numeric) = 1.26559043686004 absolute error = 2.220446049250313e-16 relative error = 1.7544744212506e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7470000000000006 y[1] (closed_form) = 1.266269510510923 y[1] (numeric) = 1.266269510510923 absolute error = 2.220446049250313e-16 relative error = 1.753533533595382e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7480000000000006 y[1] (closed_form) = 1.266949317892234 y[1] (numeric) = 1.266949317892234 absolute error = 2.220446049250313e-16 relative error = 1.752592639573277e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7490000000000006 y[1] (closed_form) = 1.267629858324167 y[1] (numeric) = 1.267629858324167 absolute error = 2.220446049250313e-16 relative error = 1.751651741767735e-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) = 1.268311131126179 y[1] (numeric) = 1.26831113112618 absolute error = 2.220446049250313e-16 relative error = 1.750710842755672e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7510000000000006 y[1] (closed_form) = 1.268993135617 y[1] (numeric) = 1.268993135617001 absolute error = 2.220446049250313e-16 relative error = 1.749769945107468e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7520000000000006 y[1] (closed_form) = 1.269675871114625 y[1] (numeric) = 1.269675871114625 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7530000000000006 y[1] (closed_form) = 1.270359336936317 y[1] (numeric) = 1.270359336936317 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7540000000000006 y[1] (closed_form) = 1.271043532398612 y[1] (numeric) = 1.271043532398612 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7550000000000006 y[1] (closed_form) = 1.271728456817313 y[1] (numeric) = 1.271728456817313 absolute error = 2.220446049250313e-16 relative error = 1.746006419332084e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7560000000000006 y[1] (closed_form) = 1.272414109507497 y[1] (numeric) = 1.272414109507497 absolute error = 2.220446049250313e-16 relative error = 1.745065566830097e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7570000000000006 y[1] (closed_form) = 1.273100489783511 y[1] (numeric) = 1.273100489783511 absolute error = 2.220446049250313e-16 relative error = 1.744124730976969e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7580000000000006 y[1] (closed_form) = 1.273787596958974 y[1] (numeric) = 1.273787596958974 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7590000000000006 y[1] (closed_form) = 1.27447543034678 y[1] (numeric) = 1.27447543034678 absolute error = 2.220446049250313e-16 relative error = 1.742243119309203e-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) = 1.275163989259095 y[1] (numeric) = 1.275163989259095 absolute error = 2.220446049250313e-16 relative error = 1.741302348524171e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7610000000000006 y[1] (closed_form) = 1.275853273007361 y[1] (numeric) = 1.275853273007361 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7620000000000006 y[1] (closed_form) = 1.276543280902293 y[1] (numeric) = 1.276543280902293 absolute error = 2.220446049250313e-16 relative error = 1.739420889576769e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7630000000000006 y[1] (closed_form) = 1.277234012253884 y[1] (numeric) = 1.277234012253884 absolute error = 2.220446049250313e-16 relative error = 1.738480206404761e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7640000000000006 y[1] (closed_form) = 1.277925466371402 y[1] (numeric) = 1.277925466371402 absolute error = 2.220446049250313e-16 relative error = 1.737539557416557e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7650000000000006 y[1] (closed_form) = 1.278617642563394 y[1] (numeric) = 1.278617642563394 absolute error = 2.220446049250313e-16 relative error = 1.736598945090985e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7660000000000006 y[1] (closed_form) = 1.279310540137683 y[1] (numeric) = 1.279310540137684 absolute error = 2.220446049250313e-16 relative error = 1.735658371900338e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7670000000000006 y[1] (closed_form) = 1.280004158401372 y[1] (numeric) = 1.280004158401373 absolute error = 2.220446049250313e-16 relative error = 1.734717840310363e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7680000000000006 y[1] (closed_form) = 1.280698496660843 y[1] (numeric) = 1.280698496660843 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7690000000000006 y[1] (closed_form) = 1.281393554221757 y[1] (numeric) = 1.281393554221757 absolute error = 0 relative error = 0 % 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) = 1.282089330389057 y[1] (numeric) = 1.282089330389057 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7710000000000006 y[1] (closed_form) = 1.282785824466967 y[1] (numeric) = 1.282785824466967 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7720000000000006 y[1] (closed_form) = 1.283483035758992 y[1] (numeric) = 1.283483035758992 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7730000000000006 y[1] (closed_form) = 1.284180963567922 y[1] (numeric) = 1.284180963567922 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7740000000000006 y[1] (closed_form) = 1.284879607195829 y[1] (numeric) = 1.284879607195829 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7750000000000006 y[1] (closed_form) = 1.285578965944069 y[1] (numeric) = 1.285578965944069 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7760000000000006 y[1] (closed_form) = 1.286279039113284 y[1] (numeric) = 1.286279039113284 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7770000000000006 y[1] (closed_form) = 1.2869798260034 y[1] (numeric) = 1.2869798260034 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7780000000000006 y[1] (closed_form) = 1.28768132591363 y[1] (numeric) = 1.28768132591363 absolute error = 2.220446049250313e-16 relative error = 1.724375437125231e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7790000000000006 y[1] (closed_form) = 1.288383538142475 y[1] (numeric) = 1.288383538142475 absolute error = 0 relative error = 0 % 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) = 1.289086461987723 y[1] (numeric) = 1.289086461987723 absolute error = 2.220446049250313e-16 relative error = 1.722495825319947e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7810000000000006 y[1] (closed_form) = 1.28979009674645 y[1] (numeric) = 1.28979009674645 absolute error = 2.220446049250313e-16 relative error = 1.721556131382527e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7820000000000006 y[1] (closed_form) = 1.29049444171502 y[1] (numeric) = 1.29049444171502 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7830000000000006 y[1] (closed_form) = 1.29119949618909 y[1] (numeric) = 1.29119949618909 absolute error = 2.220446049250313e-16 relative error = 1.719676979276903e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7840000000000006 y[1] (closed_form) = 1.291905259463605 y[1] (numeric) = 1.291905259463605 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7850000000000006 y[1] (closed_form) = 1.292611730832801 y[1] (numeric) = 1.292611730832801 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7860000000000006 y[1] (closed_form) = 1.293318909590207 y[1] (numeric) = 1.293318909590207 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7870000000000006 y[1] (closed_form) = 1.294026795028645 y[1] (numeric) = 1.294026795028645 absolute error = 2.220446049250313e-16 relative error = 1.715919684028769e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7880000000000006 y[1] (closed_form) = 1.294735386440229 y[1] (numeric) = 1.294735386440228 absolute error = 2.220446049250313e-16 relative error = 1.714980584067646e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7890000000000006 y[1] (closed_form) = 1.295444683116367 y[1] (numeric) = 1.295444683116367 absolute error = 0 relative error = 0 % 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) = 1.296154684347764 y[1] (numeric) = 1.296154684347764 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7910000000000006 y[1] (closed_form) = 1.296865389424418 y[1] (numeric) = 1.296865389424418 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7920000000000006 y[1] (closed_form) = 1.297576797635624 y[1] (numeric) = 1.297576797635624 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7930000000000006 y[1] (closed_form) = 1.298288908269974 y[1] (numeric) = 1.298288908269974 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7940000000000006 y[1] (closed_form) = 1.299001720615357 y[1] (numeric) = 1.299001720615357 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7950000000000006 y[1] (closed_form) = 1.299715233958961 y[1] (numeric) = 1.299715233958961 absolute error = 2.220446049250313e-16 relative error = 1.708409651002387e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7960000000000006 y[1] (closed_form) = 1.300429447587272 y[1] (numeric) = 1.300429447587272 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7970000000000006 y[1] (closed_form) = 1.301144360786078 y[1] (numeric) = 1.301144360786078 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7980000000000006 y[1] (closed_form) = 1.301859972840465 y[1] (numeric) = 1.301859972840465 absolute error = 2.220446049250313e-16 relative error = 1.70559514507972e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.7990000000000006 y[1] (closed_form) = 1.30257628303482 y[1] (numeric) = 1.302576283034821 absolute error = 2.220446049250313e-16 relative error = 1.704657207543334e-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) = 1.303293290652835 y[1] (numeric) = 1.303293290652835 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8010000000000006 y[1] (closed_form) = 1.304010994977501 y[1] (numeric) = 1.304010994977501 absolute error = 2.220446049250313e-16 relative error = 1.702781692641038e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8020000000000006 y[1] (closed_form) = 1.304729395291114 y[1] (numeric) = 1.304729395291114 absolute error = 2.220446049250313e-16 relative error = 1.701844119757019e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8030000000000006 y[1] (closed_form) = 1.305448490875273 y[1] (numeric) = 1.305448490875273 absolute error = 2.220446049250313e-16 relative error = 1.700906672894888e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8040000000000006 y[1] (closed_form) = 1.306168281010884 y[1] (numeric) = 1.306168281010884 absolute error = 2.220446049250313e-16 relative error = 1.699969354279405e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8050000000000006 y[1] (closed_form) = 1.306888764978156 y[1] (numeric) = 1.306888764978156 absolute error = 2.220446049250313e-16 relative error = 1.699032166128864e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8060000000000006 y[1] (closed_form) = 1.307609942056605 y[1] (numeric) = 1.307609942056606 absolute error = 2.220446049250313e-16 relative error = 1.698095110655094e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8070000000000006 y[1] (closed_form) = 1.308331811525055 y[1] (numeric) = 1.308331811525055 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8080000000000006 y[1] (closed_form) = 1.309054372661635 y[1] (numeric) = 1.309054372661635 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8090000000000006 y[1] (closed_form) = 1.309777624743786 y[1] (numeric) = 1.309777624743786 absolute error = 0 relative error = 0 % 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) = 1.310501567048253 y[1] (numeric) = 1.310501567048253 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8110000000000006 y[1] (closed_form) = 1.311226198851097 y[1] (numeric) = 1.311226198851097 absolute error = 2.220446049250313e-16 relative error = 1.693411900399702e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8120000000000006 y[1] (closed_form) = 1.311951519427684 y[1] (numeric) = 1.311951519427684 absolute error = 2.220446049250313e-16 relative error = 1.692475687073364e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8130000000000006 y[1] (closed_form) = 1.312677528052694 y[1] (numeric) = 1.312677528052694 absolute error = 2.220446049250313e-16 relative error = 1.691539621725876e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8140000000000006 y[1] (closed_form) = 1.313404224000119 y[1] (numeric) = 1.313404224000119 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8150000000000006 y[1] (closed_form) = 1.314131606543263 y[1] (numeric) = 1.314131606543263 absolute error = 2.220446049250313e-16 relative error = 1.689667943601973e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8160000000000006 y[1] (closed_form) = 1.314859674954743 y[1] (numeric) = 1.314859674954743 absolute error = 2.220446049250313e-16 relative error = 1.688732335126742e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8170000000000006 y[1] (closed_form) = 1.315588428506491 y[1] (numeric) = 1.315588428506491 absolute error = 2.220446049250313e-16 relative error = 1.687796883232739e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8180000000000006 y[1] (closed_form) = 1.316317866469754 y[1] (numeric) = 1.316317866469753 absolute error = 4.440892098500626e-16 relative error = 3.373723180108996e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8190000000000006 y[1] (closed_form) = 1.317047988115093 y[1] (numeric) = 1.317047988115092 absolute error = 4.440892098500626e-16 relative error = 3.371852915440276e-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) = 1.317778792712387 y[1] (numeric) = 1.317778792712387 absolute error = 4.440892098500626e-16 relative error = 3.369982976702735e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8210000000000006 y[1] (closed_form) = 1.318510279530831 y[1] (numeric) = 1.318510279530831 absolute error = 2.220446049250313e-16 relative error = 1.684056684063487e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8220000000000006 y[1] (closed_form) = 1.31924244783894 y[1] (numeric) = 1.319242447838939 absolute error = 4.440892098500626e-16 relative error = 3.366244093930788e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8230000000000006 y[1] (closed_form) = 1.319975296904543 y[1] (numeric) = 1.319975296904543 absolute error = 4.440892098500626e-16 relative error = 3.364375158319178e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8240000000000006 y[1] (closed_form) = 1.320708825994793 y[1] (numeric) = 1.320708825994793 absolute error = 6.661338147750939e-16 relative error = 5.043759848226532e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8250000000000006 y[1] (closed_form) = 1.321443034376161 y[1] (numeric) = 1.32144303437616 absolute error = 4.440892098500626e-16 relative error = 3.360638319605752e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8260000000000006 y[1] (closed_form) = 1.322177921314437 y[1] (numeric) = 1.322177921314436 absolute error = 6.661338147750939e-16 relative error = 5.03815563727505e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8270000000000006 y[1] (closed_form) = 1.322913486074736 y[1] (numeric) = 1.322913486074735 absolute error = 6.661338147750939e-16 relative error = 5.035354328056655e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8280000000000006 y[1] (closed_form) = 1.323649727921492 y[1] (numeric) = 1.323649727921491 absolute error = 6.661338147750939e-16 relative error = 5.032553557965174e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8290000000000006 y[1] (closed_form) = 1.324386646118464 y[1] (numeric) = 1.324386646118463 absolute error = 6.661338147750939e-16 relative error = 5.029753333193225e-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) = 1.325124239928734 y[1] (numeric) = 1.325124239928733 absolute error = 8.881784197001252e-16 relative error = 6.702604879885771e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8310000000000006 y[1] (closed_form) = 1.325862508614707 y[1] (numeric) = 1.325862508614706 absolute error = 6.661338147750939e-16 relative error = 5.024154544282927e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8320000000000006 y[1] (closed_form) = 1.326601451438115 y[1] (numeric) = 1.326601451438115 absolute error = 6.661338147750939e-16 relative error = 5.02135599243439e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8330000000000006 y[1] (closed_form) = 1.327341067660016 y[1] (numeric) = 1.327341067660015 absolute error = 6.661338147750939e-16 relative error = 5.01855801048504e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8340000000000006 y[1] (closed_form) = 1.328081356540793 y[1] (numeric) = 1.328081356540793 absolute error = 6.661338147750939e-16 relative error = 5.015760604532159e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8350000000000006 y[1] (closed_form) = 1.328822317340158 y[1] (numeric) = 1.328822317340157 absolute error = 8.881784197001252e-16 relative error = 6.683951707538677e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8360000000000006 y[1] (closed_form) = 1.32956394931715 y[1] (numeric) = 1.329563949317149 absolute error = 6.661338147750939e-16 relative error = 5.010167544909844e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8370000000000006 y[1] (closed_form) = 1.330306251730136 y[1] (numeric) = 1.330306251730135 absolute error = 8.881784197001252e-16 relative error = 6.676495871119906e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8380000000000006 y[1] (closed_form) = 1.331049223836815 y[1] (numeric) = 1.331049223836814 absolute error = 6.661338147750939e-16 relative error = 5.00457686196556e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8390000000000006 y[1] (closed_form) = 1.331792864894214 y[1] (numeric) = 1.331792864894213 absolute error = 6.661338147750939e-16 relative error = 5.001782426789064e-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) = 1.332537174158692 y[1] (numeric) = 1.332537174158692 absolute error = 6.661338147750939e-16 relative error = 4.998988603793832e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8410000000000006 y[1] (closed_form) = 1.333282150885941 y[1] (numeric) = 1.33328215088594 absolute error = 8.881784197001252e-16 relative error = 6.661593865259106e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8420000000000006 y[1] (closed_form) = 1.334027794330984 y[1] (numeric) = 1.334027794330983 absolute error = 8.881784197001252e-16 relative error = 6.657870424248153e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8430000000000006 y[1] (closed_form) = 1.334774103748176 y[1] (numeric) = 1.334774103748175 absolute error = 8.881784197001252e-16 relative error = 6.654147823261131e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8440000000000006 y[1] (closed_form) = 1.335521078391209 y[1] (numeric) = 1.335521078391208 absolute error = 1.110223024625157e-15 relative error = 8.313032587718864e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8450000000000006 y[1] (closed_form) = 1.336268717513109 y[1] (numeric) = 1.336268717513108 absolute error = 1.110223024625157e-15 relative error = 8.308381466052431e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8460000000000006 y[1] (closed_form) = 1.337017020366236 y[1] (numeric) = 1.337017020366235 absolute error = 1.110223024625157e-15 relative error = 8.30373142386059e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8470000000000006 y[1] (closed_form) = 1.337765986202287 y[1] (numeric) = 1.337765986202286 absolute error = 1.110223024625157e-15 relative error = 8.299082470895452e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8480000000000006 y[1] (closed_form) = 1.338515614272296 y[1] (numeric) = 1.338515614272295 absolute error = 1.110223024625157e-15 relative error = 8.294434616877782e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8490000000000006 y[1] (closed_form) = 1.339265903826637 y[1] (numeric) = 1.339265903826636 absolute error = 1.110223024625157e-15 relative error = 8.289787871497033e-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) = 1.340016854115018 y[1] (numeric) = 1.340016854115017 absolute error = 1.332267629550188e-15 relative error = 9.942170693293643e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8510000000000006 y[1] (closed_form) = 1.340768464386491 y[1] (numeric) = 1.340768464386489 absolute error = 1.332267629550188e-15 relative error = 9.936597294297247e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8520000000000006 y[1] (closed_form) = 1.341520733889444 y[1] (numeric) = 1.341520733889442 absolute error = 1.332267629550188e-15 relative error = 9.931025260322078e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8530000000000006 y[1] (closed_form) = 1.342273661871608 y[1] (numeric) = 1.342273661871607 absolute error = 1.110223024625157e-15 relative error = 8.271212169037945e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8540000000000006 y[1] (closed_form) = 1.343027247580056 y[1] (numeric) = 1.343027247580054 absolute error = 1.332267629550188e-15 relative error = 9.919885333307608e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8550000000000006 y[1] (closed_form) = 1.343781490261201 y[1] (numeric) = 1.3437814902612 absolute error = 1.332267629550188e-15 relative error = 9.914317463110948e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8560000000000006 y[1] (closed_form) = 1.344536389160801 y[1] (numeric) = 1.3445363891608 absolute error = 1.332267629550188e-15 relative error = 9.908751003620877e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8570000000000007 y[1] (closed_form) = 1.345291943523958 y[1] (numeric) = 1.345291943523956 absolute error = 1.332267629550188e-15 relative error = 9.903185966165434e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8580000000000007 y[1] (closed_form) = 1.346048152595116 y[1] (numeric) = 1.346048152595115 absolute error = 1.332267629550188e-15 relative error = 9.897622362035415e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8590000000000007 y[1] (closed_form) = 1.346805015618067 y[1] (numeric) = 1.346805015618066 absolute error = 1.332267629550188e-15 relative error = 9.892060202484411e-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) = 1.347562531835949 y[1] (numeric) = 1.347562531835947 absolute error = 1.332267629550188e-15 relative error = 9.886499498728844e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8610000000000007 y[1] (closed_form) = 1.348320700491244 y[1] (numeric) = 1.348320700491242 absolute error = 1.554312234475219e-15 relative error = 1.152776363893935e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8620000000000007 y[1] (closed_form) = 1.349079520825784 y[1] (numeric) = 1.349079520825783 absolute error = 1.332267629550188e-15 relative error = 9.875382503284125e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8630000000000007 y[1] (closed_form) = 1.349838992080749 y[1] (numeric) = 1.349838992080748 absolute error = 1.332267629550188e-15 relative error = 9.869826233842338e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8640000000000007 y[1] (closed_form) = 1.350599113496668 y[1] (numeric) = 1.350599113496667 absolute error = 1.332267629550188e-15 relative error = 9.864271464690802e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8650000000000007 y[1] (closed_form) = 1.35135988431342 y[1] (numeric) = 1.351359884313418 absolute error = 1.332267629550188e-15 relative error = 9.8587182068607e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8660000000000007 y[1] (closed_form) = 1.352121303770232 y[1] (numeric) = 1.352121303770231 absolute error = 1.110223024625157e-15 relative error = 8.210972059455238e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8670000000000007 y[1] (closed_form) = 1.352883371105688 y[1] (numeric) = 1.352883371105686 absolute error = 1.332267629550188e-15 relative error = 9.847616269104919e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8680000000000007 y[1] (closed_form) = 1.353646085557718 y[1] (numeric) = 1.353646085557717 absolute error = 1.332267629550188e-15 relative error = 9.842067611057125e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8690000000000007 y[1] (closed_form) = 1.354409446363609 y[1] (numeric) = 1.354409446363607 absolute error = 1.332267629550188e-15 relative error = 9.836520508086617e-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) = 1.355173452759999 y[1] (numeric) = 1.355173452759998 absolute error = 1.554312234475219e-15 relative error = 1.146947079954707e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8710000000000007 y[1] (closed_form) = 1.355938103982883 y[1] (numeric) = 1.355938103982882 absolute error = 1.332267629550188e-15 relative error = 9.825431010728538e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8720000000000007 y[1] (closed_form) = 1.35670339926761 y[1] (numeric) = 1.356703399267608 absolute error = 1.554312234475219e-15 relative error = 1.145653674424553e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8730000000000007 y[1] (closed_form) = 1.357469337848884 y[1] (numeric) = 1.357469337848882 absolute error = 1.77635683940025e-15 relative error = 1.30857971511545e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8740000000000007 y[1] (closed_form) = 1.358235918960766 y[1] (numeric) = 1.358235918960764 absolute error = 1.77635683940025e-15 relative error = 1.3078411597003e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8750000000000007 y[1] (closed_form) = 1.359003141836675 y[1] (numeric) = 1.359003141836674 absolute error = 1.554312234475219e-15 relative error = 1.143714967703891e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8760000000000007 y[1] (closed_form) = 1.35977100570939 y[1] (numeric) = 1.359771005709388 absolute error = 1.77635683940025e-15 relative error = 1.306364698130571e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8770000000000007 y[1] (closed_form) = 1.360539509811045 y[1] (numeric) = 1.360539509811044 absolute error = 1.77635683940025e-15 relative error = 1.305626794805066e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8780000000000007 y[1] (closed_form) = 1.361308653373138 y[1] (numeric) = 1.361308653373136 absolute error = 1.77635683940025e-15 relative error = 1.304889111663751e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8790000000000007 y[1] (closed_form) = 1.362078435626523 y[1] (numeric) = 1.362078435626521 absolute error = 1.77635683940025e-15 relative error = 1.304151650109026e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8800000000000007 y[1] (closed_form) = 1.36284885580142 y[1] (numeric) = 1.362848855801418 absolute error = 1.998401444325282e-15 relative error = 1.46634121298075e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8810000000000007 y[1] (closed_form) = 1.363619913127408 y[1] (numeric) = 1.363619913127406 absolute error = 1.77635683940025e-15 relative error = 1.302677397344724e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8820000000000007 y[1] (closed_form) = 1.36439160683343 y[1] (numeric) = 1.364391606833428 absolute error = 1.77635683940025e-15 relative error = 1.301940608915747e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8830000000000007 y[1] (closed_form) = 1.365163936147792 y[1] (numeric) = 1.36516393614779 absolute error = 1.998401444325282e-15 relative error = 1.463854553588892e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8840000000000007 y[1] (closed_form) = 1.365936900298165 y[1] (numeric) = 1.365936900298163 absolute error = 1.998401444325282e-15 relative error = 1.463026179239362e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8850000000000007 y[1] (closed_form) = 1.366710498511585 y[1] (numeric) = 1.366710498511583 absolute error = 1.998401444325282e-15 relative error = 1.462198063526723e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8860000000000007 y[1] (closed_form) = 1.367484730014454 y[1] (numeric) = 1.367484730014452 absolute error = 1.998401444325282e-15 relative error = 1.461370207990666e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8870000000000007 y[1] (closed_form) = 1.36825959403254 y[1] (numeric) = 1.368259594032538 absolute error = 1.998401444325282e-15 relative error = 1.460542614165478e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8880000000000007 y[1] (closed_form) = 1.369035089790979 y[1] (numeric) = 1.369035089790977 absolute error = 1.998401444325282e-15 relative error = 1.459715283580053e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8890000000000007 y[1] (closed_form) = 1.369811216514276 y[1] (numeric) = 1.369811216514274 absolute error = 1.998401444325282e-15 relative error = 1.458888217757892e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8900000000000007 y[1] (closed_form) = 1.370587973426304 y[1] (numeric) = 1.370587973426302 absolute error = 1.998401444325282e-15 relative error = 1.458061418217118e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8910000000000007 y[1] (closed_form) = 1.371365359750305 y[1] (numeric) = 1.371365359750303 absolute error = 1.998401444325282e-15 relative error = 1.457234886470477e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8920000000000007 y[1] (closed_form) = 1.372143374708895 y[1] (numeric) = 1.372143374708893 absolute error = 1.998401444325282e-15 relative error = 1.45640862402535e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8930000000000007 y[1] (closed_form) = 1.372922017524058 y[1] (numeric) = 1.372922017524056 absolute error = 1.998401444325282e-15 relative error = 1.455582632383753e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8940000000000007 y[1] (closed_form) = 1.373701287417151 y[1] (numeric) = 1.373701287417149 absolute error = 1.77635683940025e-15 relative error = 1.293117256037648e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8950000000000007 y[1] (closed_form) = 1.374481183608904 y[1] (numeric) = 1.374481183608903 absolute error = 1.77635683940025e-15 relative error = 1.292383526659974e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8960000000000007 y[1] (closed_form) = 1.375261705319422 y[1] (numeric) = 1.37526170531942 absolute error = 1.77635683940025e-15 relative error = 1.291650041973407e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8970000000000007 y[1] (closed_form) = 1.376042851768182 y[1] (numeric) = 1.376042851768181 absolute error = 1.77635683940025e-15 relative error = 1.290916803294079e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8980000000000007 y[1] (closed_form) = 1.376824622174039 y[1] (numeric) = 1.376824622174037 absolute error = 1.77635683940025e-15 relative error = 1.29018381193339e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.8990000000000007 y[1] (closed_form) = 1.377607015755221 y[1] (numeric) = 1.37760701575522 absolute error = 1.77635683940025e-15 relative error = 1.28945106919801e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9000000000000007 y[1] (closed_form) = 1.378390031729336 y[1] (numeric) = 1.378390031729334 absolute error = 1.77635683940025e-15 relative error = 1.288718576389894e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9010000000000007 y[1] (closed_form) = 1.379173669313367 y[1] (numeric) = 1.379173669313366 absolute error = 1.77635683940025e-15 relative error = 1.287986334806279e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9020000000000007 y[1] (closed_form) = 1.379957927723678 y[1] (numeric) = 1.379957927723676 absolute error = 1.77635683940025e-15 relative error = 1.287254345739697e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9030000000000007 y[1] (closed_form) = 1.380742806176008 y[1] (numeric) = 1.380742806176007 absolute error = 1.77635683940025e-15 relative error = 1.286522610477981e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9040000000000007 y[1] (closed_form) = 1.381528303885481 y[1] (numeric) = 1.38152830388548 absolute error = 1.77635683940025e-15 relative error = 1.285791130304268e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9050000000000007 y[1] (closed_form) = 1.382314420066599 y[1] (numeric) = 1.382314420066597 absolute error = 1.77635683940025e-15 relative error = 1.285059906497009e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9060000000000007 y[1] (closed_form) = 1.383101153933245 y[1] (numeric) = 1.383101153933243 absolute error = 1.77635683940025e-15 relative error = 1.284328940329975e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9070000000000007 y[1] (closed_form) = 1.383888504698686 y[1] (numeric) = 1.383888504698684 absolute error = 1.77635683940025e-15 relative error = 1.283598233072264e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9080000000000007 y[1] (closed_form) = 1.38467647157557 y[1] (numeric) = 1.384676471575569 absolute error = 1.77635683940025e-15 relative error = 1.282867785988305e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9090000000000007 y[1] (closed_form) = 1.385465053775932 y[1] (numeric) = 1.38546505377593 absolute error = 1.77635683940025e-15 relative error = 1.282137600337869e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9100000000000007 y[1] (closed_form) = 1.386254250511189 y[1] (numeric) = 1.386254250511187 absolute error = 1.77635683940025e-15 relative error = 1.281407677376072e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9110000000000007 y[1] (closed_form) = 1.387044060992144 y[1] (numeric) = 1.387044060992142 absolute error = 1.77635683940025e-15 relative error = 1.280678018353385e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9120000000000007 y[1] (closed_form) = 1.387834484428987 y[1] (numeric) = 1.387834484428985 absolute error = 1.998401444325282e-15 relative error = 1.439942202580091e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9130000000000007 y[1] (closed_form) = 1.388625520031295 y[1] (numeric) = 1.388625520031293 absolute error = 1.77635683940025e-15 relative error = 1.279219497104027e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9140000000000007 y[1] (closed_form) = 1.389417167008032 y[1] (numeric) = 1.38941716700803 absolute error = 1.998401444325282e-15 relative error = 1.438301967024515e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9150000000000007 y[1] (closed_form) = 1.39020942456755 y[1] (numeric) = 1.390209424567548 absolute error = 1.998401444325282e-15 relative error = 1.437482302313495e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9160000000000007 y[1] (closed_form) = 1.391002291917594 y[1] (numeric) = 1.391002291917592 absolute error = 1.998401444325282e-15 relative error = 1.436662941489727e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9170000000000007 y[1] (closed_form) = 1.391795768265295 y[1] (numeric) = 1.391795768265293 absolute error = 1.998401444325282e-15 relative error = 1.435843885928787e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9180000000000007 y[1] (closed_form) = 1.392589852817176 y[1] (numeric) = 1.392589852817174 absolute error = 1.998401444325282e-15 relative error = 1.43502513700108e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9190000000000007 y[1] (closed_form) = 1.393384544779155 y[1] (numeric) = 1.393384544779153 absolute error = 2.220446049250313e-15 relative error = 1.593562995635382e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9200000000000007 y[1] (closed_form) = 1.394179843356538 y[1] (numeric) = 1.394179843356536 absolute error = 2.220446049250313e-15 relative error = 1.592653960556846e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9210000000000007 y[1] (closed_form) = 1.394975747754027 y[1] (numeric) = 1.394975747754025 absolute error = 1.998401444325282e-15 relative error = 1.432570743643965e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9220000000000007 y[1] (closed_form) = 1.395772257175718 y[1] (numeric) = 1.395772257175716 absolute error = 2.220446049250313e-15 relative error = 1.59083692761116e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9230000000000007 y[1] (closed_form) = 1.396569370825101 y[1] (numeric) = 1.396569370825099 absolute error = 1.998401444325282e-15 relative error = 1.430936039464058e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9240000000000007 y[1] (closed_form) = 1.397367087905064 y[1] (numeric) = 1.397367087905062 absolute error = 1.998401444325282e-15 relative error = 1.430119158825538e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9250000000000007 y[1] (closed_form) = 1.398165407617888 y[1] (numeric) = 1.398165407617886 absolute error = 1.998401444325282e-15 relative error = 1.4293025942689e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9260000000000007 y[1] (closed_form) = 1.398964329165254 y[1] (numeric) = 1.398964329165252 absolute error = 1.998401444325282e-15 relative error = 1.42848634712345e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9270000000000007 y[1] (closed_form) = 1.399763851748242 y[1] (numeric) = 1.39976385174824 absolute error = 1.998401444325282e-15 relative error = 1.427670418713391e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9280000000000007 y[1] (closed_form) = 1.400563974567327 y[1] (numeric) = 1.400563974567325 absolute error = 1.998401444325282e-15 relative error = 1.426854810357837e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9290000000000007 y[1] (closed_form) = 1.401364696822388 y[1] (numeric) = 1.401364696822386 absolute error = 1.77635683940025e-15 relative error = 1.267590687440722e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9300000000000007 y[1] (closed_form) = 1.402166017712702 y[1] (numeric) = 1.4021660177127 absolute error = 1.77635683940025e-15 relative error = 1.266866274721128e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9310000000000007 y[1] (closed_form) = 1.402967936436949 y[1] (numeric) = 1.402967936436947 absolute error = 1.998401444325282e-15 relative error = 1.424409918733087e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9320000000000007 y[1] (closed_form) = 1.40377045219321 y[1] (numeric) = 1.403770452193208 absolute error = 1.77635683940025e-15 relative error = 1.265418314386745e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9330000000000007 y[1] (closed_form) = 1.404573564178968 y[1] (numeric) = 1.404573564178966 absolute error = 1.77635683940025e-15 relative error = 1.264694769076481e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9340000000000007 y[1] (closed_form) = 1.405377271591113 y[1] (numeric) = 1.405377271591111 absolute error = 1.998401444325282e-15 relative error = 1.421967954599671e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9350000000000007 y[1] (closed_form) = 1.406181573625937 y[1] (numeric) = 1.406181573625935 absolute error = 1.998401444325282e-15 relative error = 1.421154623134667e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9360000000000007 y[1] (closed_form) = 1.406986469479137 y[1] (numeric) = 1.406986469479135 absolute error = 1.998401444325282e-15 relative error = 1.420341622094692e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9370000000000007 y[1] (closed_form) = 1.407791958345819 y[1] (numeric) = 1.407791958345817 absolute error = 1.998401444325282e-15 relative error = 1.419528952753388e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9380000000000007 y[1] (closed_form) = 1.408598039420493 y[1] (numeric) = 1.408598039420491 absolute error = 1.998401444325282e-15 relative error = 1.418716616379388e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9390000000000007 y[1] (closed_form) = 1.409404711897078 y[1] (numeric) = 1.409404711897076 absolute error = 1.998401444325282e-15 relative error = 1.417904614236322e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9400000000000007 y[1] (closed_form) = 1.410211974968902 y[1] (numeric) = 1.4102119749689 absolute error = 2.220446049250313e-15 relative error = 1.574547719536474e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9410000000000007 y[1] (closed_form) = 1.411019827828702 y[1] (numeric) = 1.4110198278287 absolute error = 2.220446049250313e-15 relative error = 1.573646241858392e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9420000000000007 y[1] (closed_form) = 1.411828269668626 y[1] (numeric) = 1.411828269668624 absolute error = 1.998401444325282e-15 relative error = 1.415470625754174e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9430000000000007 y[1] (closed_form) = 1.41263729968023 y[1] (numeric) = 1.412637299680228 absolute error = 2.220446049250313e-15 relative error = 1.571844414523772e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9440000000000007 y[1] (closed_form) = 1.413446917054486 y[1] (numeric) = 1.413446917054484 absolute error = 1.998401444325282e-15 relative error = 1.413849660862961e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9450000000000007 y[1] (closed_form) = 1.414257120981776 y[1] (numeric) = 1.414257120981774 absolute error = 2.220446049250313e-15 relative error = 1.57004410040296e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9460000000000007 y[1] (closed_form) = 1.415067910651896 y[1] (numeric) = 1.415067910651894 absolute error = 1.998401444325282e-15 relative error = 1.412230062799357e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9470000000000007 y[1] (closed_form) = 1.415879285254056 y[1] (numeric) = 1.415879285254054 absolute error = 1.998401444325282e-15 relative error = 1.411420779396953e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9480000000000007 y[1] (closed_form) = 1.416691243976883 y[1] (numeric) = 1.416691243976881 absolute error = 1.998401444325282e-15 relative error = 1.410611841374443e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9490000000000007 y[1] (closed_form) = 1.417503786008417 y[1] (numeric) = 1.417503786008415 absolute error = 1.998401444325282e-15 relative error = 1.409803249945898e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9500000000000007 y[1] (closed_form) = 1.418316910536117 y[1] (numeric) = 1.418316910536115 absolute error = 1.998401444325282e-15 relative error = 1.408995006320481e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9510000000000007 y[1] (closed_form) = 1.419130616746858 y[1] (numeric) = 1.419130616746856 absolute error = 1.77635683940025e-15 relative error = 1.251721877068849e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9520000000000007 y[1] (closed_form) = 1.419944903826933 y[1] (numeric) = 1.419944903826931 absolute error = 1.77635683940025e-15 relative error = 1.251004059814393e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9530000000000007 y[1] (closed_form) = 1.420759770962057 y[1] (numeric) = 1.420759770962055 absolute error = 1.77635683940025e-15 relative error = 1.250286554916602e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9540000000000007 y[1] (closed_form) = 1.421575217337361 y[1] (numeric) = 1.421575217337359 absolute error = 1.77635683940025e-15 relative error = 1.249569363432913e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9550000000000007 y[1] (closed_form) = 1.422391242137399 y[1] (numeric) = 1.422391242137397 absolute error = 1.77635683940025e-15 relative error = 1.248852486416434e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9560000000000007 y[1] (closed_form) = 1.423207844546147 y[1] (numeric) = 1.423207844546146 absolute error = 1.554312234475219e-15 relative error = 1.092118934301462e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9570000000000007 y[1] (closed_form) = 1.424025023747003 y[1] (numeric) = 1.424025023747001 absolute error = 1.554312234475219e-15 relative error = 1.091492219978968e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9580000000000007 y[1] (closed_form) = 1.424842778922787 y[1] (numeric) = 1.424842778922785 absolute error = 1.77635683940025e-15 relative error = 1.246703752636635e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9590000000000007 y[1] (closed_form) = 1.425661109255744 y[1] (numeric) = 1.425661109255742 absolute error = 1.554312234475219e-15 relative error = 1.090239625942126e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9600000000000007 y[1] (closed_form) = 1.426480013927544 y[1] (numeric) = 1.426480013927542 absolute error = 1.77635683940025e-15 relative error = 1.245272854899233e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9610000000000007 y[1] (closed_form) = 1.427299492119282 y[1] (numeric) = 1.42729949211928 absolute error = 1.998401444325282e-15 relative error = 1.400127622380091e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9620000000000007 y[1] (closed_form) = 1.428119543011481 y[1] (numeric) = 1.428119543011479 absolute error = 1.998401444325282e-15 relative error = 1.399323644931884e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9630000000000007 y[1] (closed_form) = 1.428940165784088 y[1] (numeric) = 1.428940165784086 absolute error = 1.77635683940025e-15 relative error = 1.243128916056137e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9640000000000007 y[1] (closed_form) = 1.429761359616482 y[1] (numeric) = 1.429761359616481 absolute error = 1.77635683940025e-15 relative error = 1.242414915924667e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9650000000000007 y[1] (closed_form) = 1.43058312368747 y[1] (numeric) = 1.430583123687468 absolute error = 1.998401444325282e-15 relative error = 1.396913895624746e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9660000000000007 y[1] (closed_form) = 1.431405457175286 y[1] (numeric) = 1.431405457175284 absolute error = 1.998401444325282e-15 relative error = 1.396111377323443e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9670000000000007 y[1] (closed_form) = 1.432228359257597 y[1] (numeric) = 1.432228359257595 absolute error = 1.998401444325282e-15 relative error = 1.395309226638386e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9680000000000007 y[1] (closed_form) = 1.433051829111502 y[1] (numeric) = 1.4330518291115 absolute error = 2.220446049250313e-15 relative error = 1.549452716324292e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9690000000000007 y[1] (closed_form) = 1.433875865913531 y[1] (numeric) = 1.433875865913529 absolute error = 1.998401444325282e-15 relative error = 1.393706032601426e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9700000000000008 y[1] (closed_form) = 1.434700468839646 y[1] (numeric) = 1.434700468839644 absolute error = 2.220446049250313e-15 relative error = 1.547672212755433e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9710000000000008 y[1] (closed_form) = 1.435525637065246 y[1] (numeric) = 1.435525637065244 absolute error = 2.220446049250313e-15 relative error = 1.546782580483717e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9720000000000008 y[1] (closed_form) = 1.436351369765161 y[1] (numeric) = 1.436351369765159 absolute error = 2.220446049250313e-15 relative error = 1.545893362856854e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9730000000000008 y[1] (closed_form) = 1.43717766611366 y[1] (numeric) = 1.437177666113658 absolute error = 2.220446049250313e-15 relative error = 1.545004561095586e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9740000000000008 y[1] (closed_form) = 1.438004525284446 y[1] (numeric) = 1.438004525284443 absolute error = 2.220446049250313e-15 relative error = 1.544116176415437e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9750000000000008 y[1] (closed_form) = 1.438831946450659 y[1] (numeric) = 1.438831946450657 absolute error = 2.220446049250313e-15 relative error = 1.543228210026721e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9760000000000008 y[1] (closed_form) = 1.439659928784879 y[1] (numeric) = 1.439659928784877 absolute error = 2.220446049250313e-15 relative error = 1.542340663134552e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9770000000000008 y[1] (closed_form) = 1.440488471459124 y[1] (numeric) = 1.440488471459122 absolute error = 2.220446049250313e-15 relative error = 1.541453536938856e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9780000000000008 y[1] (closed_form) = 1.441317573644851 y[1] (numeric) = 1.441317573644849 absolute error = 2.220446049250313e-15 relative error = 1.540566832634377e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9790000000000008 y[1] (closed_form) = 1.442147234512958 y[1] (numeric) = 1.442147234512956 absolute error = 2.220446049250313e-15 relative error = 1.53968055141069e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9800000000000008 y[1] (closed_form) = 1.442977453233783 y[1] (numeric) = 1.442977453233781 absolute error = 2.220446049250313e-15 relative error = 1.538794694452214e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9810000000000008 y[1] (closed_form) = 1.443808228977109 y[1] (numeric) = 1.443808228977107 absolute error = 2.220446049250313e-15 relative error = 1.537909262938213e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9820000000000008 y[1] (closed_form) = 1.44463956091216 y[1] (numeric) = 1.444639560912158 absolute error = 2.220446049250313e-15 relative error = 1.537024258042817e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9830000000000008 y[1] (closed_form) = 1.445471448207603 y[1] (numeric) = 1.445471448207601 absolute error = 2.220446049250313e-15 relative error = 1.536139680935023e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9840000000000008 y[1] (closed_form) = 1.446303890031552 y[1] (numeric) = 1.44630389003155 absolute error = 2.442490654175344e-15 relative error = 1.688781086056582e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9850000000000008 y[1] (closed_form) = 1.447136885551565 y[1] (numeric) = 1.447136885551563 absolute error = 2.220446049250313e-15 relative error = 1.534371814732652e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9860000000000008 y[1] (closed_form) = 1.447970433934646 y[1] (numeric) = 1.447970433934644 absolute error = 2.220446049250313e-15 relative error = 1.533488527950518e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9870000000000008 y[1] (closed_form) = 1.448804534347248 y[1] (numeric) = 1.448804534347245 absolute error = 2.220446049250313e-15 relative error = 1.532605673580891e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9880000000000008 y[1] (closed_form) = 1.449639185955268 y[1] (numeric) = 1.449639185955266 absolute error = 2.220446049250313e-15 relative error = 1.531723252767278e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9890000000000008 y[1] (closed_form) = 1.450474387924058 y[1] (numeric) = 1.450474387924055 absolute error = 2.220446049250313e-15 relative error = 1.530841266648115e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9900000000000008 y[1] (closed_form) = 1.451310139418413 y[1] (numeric) = 1.451310139418411 absolute error = 2.442490654175344e-15 relative error = 1.682955687992457e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9910000000000008 y[1] (closed_form) = 1.452146439602583 y[1] (numeric) = 1.452146439602581 absolute error = 2.442490654175344e-15 relative error = 1.681986463323763e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9920000000000008 y[1] (closed_form) = 1.452983287640268 y[1] (numeric) = 1.452983287640266 absolute error = 2.442490654175344e-15 relative error = 1.681017720542467e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9930000000000008 y[1] (closed_form) = 1.45382068269462 y[1] (numeric) = 1.453820682694618 absolute error = 2.442490654175344e-15 relative error = 1.680049460878662e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9940000000000008 y[1] (closed_form) = 1.454658623928244 y[1] (numeric) = 1.454658623928242 absolute error = 2.442490654175344e-15 relative error = 1.679081685556919e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9950000000000008 y[1] (closed_form) = 1.455497110503198 y[1] (numeric) = 1.455497110503196 absolute error = 2.220446049250313e-15 relative error = 1.525558541633006e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9960000000000008 y[1] (closed_form) = 1.456336141580997 y[1] (numeric) = 1.456336141580994 absolute error = 2.442490654175344e-15 relative error = 1.677147592810393e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9970000000000008 y[1] (closed_form) = 1.457175716322608 y[1] (numeric) = 1.457175716322606 absolute error = 2.220446049250313e-15 relative error = 1.523801161642968e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9980000000000008 y[1] (closed_form) = 1.458015833888458 y[1] (numeric) = 1.458015833888455 absolute error = 2.442490654175344e-15 relative error = 1.67521545198953e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.9990000000000008 y[1] (closed_form) = 1.458856493438429 y[1] (numeric) = 1.458856493438426 absolute error = 2.442490654175344e-15 relative error = 1.67425011655434e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = -0.001 Finished! diff ( y , x , 1 ) = sin ( x ) ; Iterations = 900 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 0 %