##############ECHO OF PROBLEM################# ##############temp/sqrt_sqrtpostode.ode################# diff ( y , x , 1 ) = sqrt(sqrt(0.1 * x + 0.2)); ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=0.1; x_end=0.5; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h=0.05; glob_look_poles=true; glob_max_iter=1000000; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=10; glob_display_interval=0.001; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(0.8 * (x + 2.0) * sqrt(sqrt(0.1 * x + 0.2))); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 0.4 estimated_steps = 400 step_error = 2.5e-13 est_needed_step_err = 2.5e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 8.413510546237226e-91 max_value3 = 8.413510546237226e-91 value3 = 8.413510546237226e-91 best_h = 0.001 START of Soultion x[1] = 0.1 y[1] (analytic) = 1.137271367855683 y[1] (numeric) = 1.137271367855683 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 1.137271367855683 y[1] (numeric) = 1.137271367855683 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.101 y[1] (analytic) = 1.137948355388137 y[1] (numeric) = 1.137948355388137 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.102 y[1] (analytic) = 1.138625423480781 y[1] (numeric) = 1.138625423480781 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.103 y[1] (analytic) = 1.139302572104868 y[1] (numeric) = 1.139302572104868 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.104 y[1] (analytic) = 1.139979801231678 y[1] (numeric) = 1.139979801231678 absolute error = 2.220446049250313e-16 relative error = 1.94779420376682e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.105 y[1] (analytic) = 1.140657110832511 y[1] (numeric) = 1.140657110832511 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.106 y[1] (analytic) = 1.141334500878694 y[1] (numeric) = 1.141334500878695 absolute error = 2.220446049250313e-16 relative error = 1.94548228196101e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.107 y[1] (analytic) = 1.142011971341577 y[1] (numeric) = 1.142011971341577 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.108 y[1] (analytic) = 1.142689522192533 y[1] (numeric) = 1.142689522192533 absolute error = 2.220446049250313e-16 relative error = 1.943175294886609e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.109 y[1] (analytic) = 1.143367153402958 y[1] (numeric) = 1.143367153402959 absolute error = 4.440892098500626e-16 relative error = 3.884047294242603e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 1.144044864944275 y[1] (numeric) = 1.144044864944275 absolute error = 4.440892098500626e-16 relative error = 3.881746454687279e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.111 y[1] (analytic) = 1.144722656787927 y[1] (numeric) = 1.144722656787928 absolute error = 4.440892098500626e-16 relative error = 3.879448067326364e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.112 y[1] (analytic) = 1.145400528905384 y[1] (numeric) = 1.145400528905384 absolute error = 2.220446049250313e-16 relative error = 1.938576064193291e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.113 y[1] (analytic) = 1.146078481268137 y[1] (numeric) = 1.146078481268137 absolute error = 2.220446049250313e-16 relative error = 1.937429317051122e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.114 y[1] (analytic) = 1.146756513847701 y[1] (numeric) = 1.146756513847701 absolute error = 2.220446049250313e-16 relative error = 1.936283790357616e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.115 y[1] (analytic) = 1.147434626615617 y[1] (numeric) = 1.147434626615617 absolute error = 2.220446049250313e-16 relative error = 1.935139482237491e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.116 y[1] (analytic) = 1.148112819543446 y[1] (numeric) = 1.148112819543446 absolute error = 2.220446049250313e-16 relative error = 1.933996390819229e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.117 y[1] (analytic) = 1.148791092602774 y[1] (numeric) = 1.148791092602775 absolute error = 2.220446049250313e-16 relative error = 1.932854514235072e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.118 y[1] (analytic) = 1.149469445765213 y[1] (numeric) = 1.149469445765213 absolute error = 2.220446049250313e-16 relative error = 1.931713850621006e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.119 y[1] (analytic) = 1.150147879002394 y[1] (numeric) = 1.150147879002394 absolute error = 4.440892098500626e-16 relative error = 3.861148796233518e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 1.150826392285975 y[1] (numeric) = 1.150826392285975 absolute error = 2.220446049250313e-16 relative error = 1.929436154865784e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.121 y[1] (analytic) = 1.151504985587635 y[1] (numeric) = 1.151504985587635 absolute error = 4.440892098500626e-16 relative error = 3.856598238030516e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.122 y[1] (analytic) = 1.152183658879078 y[1] (numeric) = 1.152183658879078 absolute error = 4.440892098500626e-16 relative error = 3.854326577432131e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.123 y[1] (analytic) = 1.15286241213203 y[1] (numeric) = 1.152862412132031 absolute error = 6.661338147750939e-16 relative error = 5.778085986368387e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.124 y[1] (analytic) = 1.153541245318242 y[1] (numeric) = 1.153541245318243 absolute error = 6.661338147750939e-16 relative error = 5.77468571218118e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.125 y[1] (analytic) = 1.154220158409488 y[1] (numeric) = 1.154220158409488 absolute error = 6.661338147750939e-16 relative error = 5.771289038072464e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.126 y[1] (analytic) = 1.154899151377562 y[1] (numeric) = 1.154899151377563 absolute error = 6.661338147750939e-16 relative error = 5.767895958539154e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.127 y[1] (analytic) = 1.155578224194286 y[1] (numeric) = 1.155578224194287 absolute error = 4.440892098500626e-16 relative error = 3.843004312059435e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.128 y[1] (analytic) = 1.156257376831502 y[1] (numeric) = 1.156257376831503 absolute error = 4.440892098500626e-16 relative error = 3.840747040827557e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.129 y[1] (analytic) = 1.156936609261077 y[1] (numeric) = 1.156936609261077 absolute error = 6.661338147750939e-16 relative error = 5.75773823252552e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 1.157615921454899 y[1] (numeric) = 1.1576159214549 absolute error = 4.440892098500626e-16 relative error = 3.836239650988287e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.131 y[1] (analytic) = 1.158295313384881 y[1] (numeric) = 1.158295313384882 absolute error = 6.661338147750939e-16 relative error = 5.750984287663689e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.132 y[1] (analytic) = 1.158974785022959 y[1] (numeric) = 1.158974785022959 absolute error = 4.440892098500626e-16 relative error = 3.831741773754512e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.133 y[1] (analytic) = 1.15965433634109 y[1] (numeric) = 1.159654336341091 absolute error = 6.661338147750939e-16 relative error = 5.744244589959981e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.134 y[1] (analytic) = 1.160333967311257 y[1] (numeric) = 1.160333967311257 absolute error = 6.661338147750939e-16 relative error = 5.740880070232445e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.135 y[1] (analytic) = 1.161013677905463 y[1] (numeric) = 1.161013677905464 absolute error = 6.661338147750939e-16 relative error = 5.737519096044057e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.136 y[1] (analytic) = 1.161693468095737 y[1] (numeric) = 1.161693468095737 absolute error = 6.661338147750939e-16 relative error = 5.73416166200047e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.137 y[1] (analytic) = 1.162373337854128 y[1] (numeric) = 1.162373337854128 absolute error = 6.661338147750939e-16 relative error = 5.730807762718062e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.138 y[1] (analytic) = 1.163053287152709 y[1] (numeric) = 1.16305328715271 absolute error = 8.881784197001252e-16 relative error = 7.636609857098553e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.139 y[1] (analytic) = 1.163733315963577 y[1] (numeric) = 1.163733315963578 absolute error = 6.661338147750939e-16 relative error = 5.724110546955782e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 1.164413424258851 y[1] (numeric) = 1.164413424258852 absolute error = 6.661338147750939e-16 relative error = 5.720767219762069e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.141 y[1] (analytic) = 1.165093612010672 y[1] (numeric) = 1.165093612010673 absolute error = 6.661338147750939e-16 relative error = 5.717427405901803e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.142 y[1] (analytic) = 1.165773879191205 y[1] (numeric) = 1.165773879191206 absolute error = 6.661338147750939e-16 relative error = 5.714091100044604e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.143 y[1] (analytic) = 1.166454225772637 y[1] (numeric) = 1.166454225772637 absolute error = 6.661338147750939e-16 relative error = 5.71075829687067e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.144 y[1] (analytic) = 1.167134651727177 y[1] (numeric) = 1.167134651727178 absolute error = 8.881784197001252e-16 relative error = 7.609905321427651e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.145 y[1] (analytic) = 1.167815157027059 y[1] (numeric) = 1.16781515702706 absolute error = 6.661338147750939e-16 relative error = 5.704103177346062e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.146 y[1] (analytic) = 1.168495741644538 y[1] (numeric) = 1.168495741644539 absolute error = 8.881784197001252e-16 relative error = 7.601041133877864e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.147 y[1] (analytic) = 1.169176405551891 y[1] (numeric) = 1.169176405551892 absolute error = 6.661338147750939e-16 relative error = 5.69746200497996e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.148 y[1] (analytic) = 1.169857148721419 y[1] (numeric) = 1.16985714872142 absolute error = 8.881784197001252e-16 relative error = 7.592195514391215e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.149 y[1] (analytic) = 1.170537971125445 y[1] (numeric) = 1.170537971125446 absolute error = 8.881784197001252e-16 relative error = 7.587779650122433e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 1.171218872736315 y[1] (numeric) = 1.171218872736316 absolute error = 6.661338147750939e-16 relative error = 5.687526305128668e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1510000000000001 y[1] (analytic) = 1.171899853526397 y[1] (numeric) = 1.171899853526398 absolute error = 6.661338147750939e-16 relative error = 5.684221333167778e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1520000000000001 y[1] (analytic) = 1.172580913468081 y[1] (numeric) = 1.172580913468082 absolute error = 6.661338147750939e-16 relative error = 5.680919816483324e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1530000000000001 y[1] (analytic) = 1.17326205253378 y[1] (numeric) = 1.173262052533781 absolute error = 6.661338147750939e-16 relative error = 5.677621749859797e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1540000000000001 y[1] (analytic) = 1.173943270695931 y[1] (numeric) = 1.173943270695931 absolute error = 6.661338147750939e-16 relative error = 5.674327128091975e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1550000000000001 y[1] (analytic) = 1.17462456792699 y[1] (numeric) = 1.17462456792699 absolute error = 6.661338147750939e-16 relative error = 5.6710359459849e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1560000000000001 y[1] (analytic) = 1.175305944199437 y[1] (numeric) = 1.175305944199438 absolute error = 6.661338147750939e-16 relative error = 5.667748198353857e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1570000000000001 y[1] (analytic) = 1.175987399485777 y[1] (numeric) = 1.175987399485777 absolute error = 4.440892098500626e-16 relative error = 3.776309253349561e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1580000000000001 y[1] (analytic) = 1.176668933758532 y[1] (numeric) = 1.176668933758533 absolute error = 6.661338147750939e-16 relative error = 5.661182985832047e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1590000000000001 y[1] (analytic) = 1.177350546990251 y[1] (numeric) = 1.177350546990252 absolute error = 6.661338147750939e-16 relative error = 5.657905510622823e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (analytic) = 1.178032239153503 y[1] (numeric) = 1.178032239153504 absolute error = 6.661338147750939e-16 relative error = 5.654631449252667e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1610000000000001 y[1] (analytic) = 1.17871401022088 y[1] (numeric) = 1.178714010220881 absolute error = 6.661338147750939e-16 relative error = 5.651360796587687e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1620000000000001 y[1] (analytic) = 1.179395860164995 y[1] (numeric) = 1.179395860164995 absolute error = 4.440892098500626e-16 relative error = 3.765395698336057e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1630000000000001 y[1] (analytic) = 1.180077788958484 y[1] (numeric) = 1.180077788958485 absolute error = 4.440892098500626e-16 relative error = 3.763219797925423e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1640000000000001 y[1] (analytic) = 1.180759796574006 y[1] (numeric) = 1.180759796574006 absolute error = 4.440892098500626e-16 relative error = 3.761046159757428e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1650000000000001 y[1] (analytic) = 1.18144188298424 y[1] (numeric) = 1.181441882984241 absolute error = 2.220446049250313e-16 relative error = 1.879437390218146e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1660000000000001 y[1] (analytic) = 1.18212404816189 y[1] (numeric) = 1.18212404816189 absolute error = 2.220446049250313e-16 relative error = 1.87835282828645e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1670000000000001 y[1] (analytic) = 1.182806292079679 y[1] (numeric) = 1.182806292079679 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1680000000000001 y[1] (analytic) = 1.183488614710354 y[1] (numeric) = 1.183488614710354 absolute error = 2.220446049250313e-16 relative error = 1.876187080848043e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1690000000000001 y[1] (analytic) = 1.184171016026683 y[1] (numeric) = 1.184171016026683 absolute error = 4.440892098500626e-16 relative error = 3.750211783937601e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (analytic) = 1.184853496001457 y[1] (numeric) = 1.184853496001457 absolute error = 2.220446049250313e-16 relative error = 1.874025824073345e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1710000000000001 y[1] (analytic) = 1.185536054607487 y[1] (numeric) = 1.185536054607488 absolute error = 4.440892098500626e-16 relative error = 3.74589375096731e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1720000000000001 y[1] (analytic) = 1.186218691817609 y[1] (numeric) = 1.18621869181761 absolute error = 4.440892098500626e-16 relative error = 3.743738089049982e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1730000000000001 y[1] (analytic) = 1.186901407604679 y[1] (numeric) = 1.186901407604679 absolute error = 4.440892098500626e-16 relative error = 3.741584659051777e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1740000000000001 y[1] (analytic) = 1.187584201941573 y[1] (numeric) = 1.187584201941574 absolute error = 4.440892098500626e-16 relative error = 3.739433457636302e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1750000000000001 y[1] (analytic) = 1.188267074801193 y[1] (numeric) = 1.188267074801194 absolute error = 4.440892098500626e-16 relative error = 3.737284481473681e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1760000000000001 y[1] (analytic) = 1.18895002615646 y[1] (numeric) = 1.188950026156461 absolute error = 4.440892098500626e-16 relative error = 3.735137727240544e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1770000000000001 y[1] (analytic) = 1.189633055980318 y[1] (numeric) = 1.189633055980318 absolute error = 2.220446049250313e-16 relative error = 1.866496595810002e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1780000000000001 y[1] (analytic) = 1.19031616424573 y[1] (numeric) = 1.190316164245731 absolute error = 2.220446049250313e-16 relative error = 1.865425435650827e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1790000000000001 y[1] (analytic) = 1.190999350925685 y[1] (numeric) = 1.190999350925686 absolute error = 4.440892098500626e-16 relative error = 3.728710762981537e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (analytic) = 1.191682615993191 y[1] (numeric) = 1.191682615993191 absolute error = 2.220446049250313e-16 relative error = 1.863286431681067e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1810000000000001 y[1] (analytic) = 1.192365959421278 y[1] (numeric) = 1.192365959421279 absolute error = 4.440892098500626e-16 relative error = 3.724437169152363e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1820000000000001 y[1] (analytic) = 1.193049381182999 y[1] (numeric) = 1.193049381182999 absolute error = 2.220446049250313e-16 relative error = 1.861151838533769e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1830000000000001 y[1] (analytic) = 1.193732881251425 y[1] (numeric) = 1.193732881251426 absolute error = 4.440892098500626e-16 relative error = 3.720172383829378e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1840000000000001 y[1] (analytic) = 1.194416459599654 y[1] (numeric) = 1.194416459599654 absolute error = 4.440892098500626e-16 relative error = 3.718043286165975e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1850000000000001 y[1] (analytic) = 1.195100116200801 y[1] (numeric) = 1.195100116200801 absolute error = 4.440892098500626e-16 relative error = 3.715916380811787e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1860000000000001 y[1] (analytic) = 1.195783851028004 y[1] (numeric) = 1.195783851028005 absolute error = 6.661338147750939e-16 relative error = 5.570687496761434e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1870000000000001 y[1] (analytic) = 1.196467664054424 y[1] (numeric) = 1.196467664054425 absolute error = 6.661338147750939e-16 relative error = 5.567503701000928e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1880000000000001 y[1] (analytic) = 1.197151555253241 y[1] (numeric) = 1.197151555253242 absolute error = 6.661338147750939e-16 relative error = 5.56432317906635e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1890000000000001 y[1] (analytic) = 1.197835524597658 y[1] (numeric) = 1.197835524597659 absolute error = 8.881784197001252e-16 relative error = 7.414861234796458e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 1.198519572060899 y[1] (numeric) = 1.1985195720609 absolute error = 6.661338147750939e-16 relative error = 5.557971937242975e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1910000000000001 y[1] (analytic) = 1.19920369761621 y[1] (numeric) = 1.199203697616211 absolute error = 6.661338147750939e-16 relative error = 5.554801207661731e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1920000000000001 y[1] (analytic) = 1.199887901236858 y[1] (numeric) = 1.199887901236858 absolute error = 4.440892098500626e-16 relative error = 3.701089155014318e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1930000000000001 y[1] (analytic) = 1.200572182896129 y[1] (numeric) = 1.20057218289613 absolute error = 6.661338147750939e-16 relative error = 5.548469506999449e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1940000000000001 y[1] (analytic) = 1.201256542567335 y[1] (numeric) = 1.201256542567336 absolute error = 6.661338147750939e-16 relative error = 5.545308526282216e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1950000000000001 y[1] (analytic) = 1.201940980223806 y[1] (numeric) = 1.201940980223806 absolute error = 4.440892098500626e-16 relative error = 3.694767190377114e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1960000000000001 y[1] (analytic) = 1.202625495838893 y[1] (numeric) = 1.202625495838894 absolute error = 6.661338147750939e-16 relative error = 5.538996280055009e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1970000000000001 y[1] (analytic) = 1.203310089385971 y[1] (numeric) = 1.203310089385971 absolute error = 6.661338147750939e-16 relative error = 5.535845004964689e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1980000000000001 y[1] (analytic) = 1.203994760838433 y[1] (numeric) = 1.203994760838434 absolute error = 6.661338147750939e-16 relative error = 5.532696955518431e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.1990000000000001 y[1] (analytic) = 1.204679510169695 y[1] (numeric) = 1.204679510169696 absolute error = 6.661338147750939e-16 relative error = 5.529552126949184e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 1.205364337353195 y[1] (numeric) = 1.205364337353195 absolute error = 6.661338147750939e-16 relative error = 5.526410514499103e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2010000000000001 y[1] (analytic) = 1.206049242362389 y[1] (numeric) = 1.20604924236239 absolute error = 6.661338147750939e-16 relative error = 5.523272113419534e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2020000000000001 y[1] (analytic) = 1.206734225170758 y[1] (numeric) = 1.206734225170758 absolute error = 6.661338147750939e-16 relative error = 5.520136918970981e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2030000000000001 y[1] (analytic) = 1.2074192857518 y[1] (numeric) = 1.207419285751801 absolute error = 4.440892098500626e-16 relative error = 3.678003284282064e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2040000000000001 y[1] (analytic) = 1.208104424079038 y[1] (numeric) = 1.208104424079039 absolute error = 6.661338147750939e-16 relative error = 5.513876131054654e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2050000000000001 y[1] (analytic) = 1.208789640126015 y[1] (numeric) = 1.208789640126015 absolute error = 4.440892098500626e-16 relative error = 3.673833685435681e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2060000000000001 y[1] (analytic) = 1.209474933866291 y[1] (numeric) = 1.209474933866292 absolute error = 4.440892098500626e-16 relative error = 3.671752075344434e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2070000000000001 y[1] (analytic) = 1.210160305273453 y[1] (numeric) = 1.210160305273453 absolute error = 4.440892098500626e-16 relative error = 3.66967258730003e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2080000000000001 y[1] (analytic) = 1.210845754321105 y[1] (numeric) = 1.210845754321105 absolute error = 4.440892098500626e-16 relative error = 3.667595218179164e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2090000000000001 y[1] (analytic) = 1.211531280982873 y[1] (numeric) = 1.211531280982873 absolute error = 4.440892098500626e-16 relative error = 3.665519964864536e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 1.212216885232404 y[1] (numeric) = 1.212216885232404 absolute error = 4.440892098500626e-16 relative error = 3.663446824244844e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2110000000000001 y[1] (analytic) = 1.212902567043366 y[1] (numeric) = 1.212902567043367 absolute error = 4.440892098500626e-16 relative error = 3.661375793214762e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2120000000000001 y[1] (analytic) = 1.213588326389448 y[1] (numeric) = 1.213588326389448 absolute error = 2.220446049250313e-16 relative error = 1.829653434337467e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2130000000000001 y[1] (analytic) = 1.214274163244359 y[1] (numeric) = 1.214274163244359 absolute error = 2.220446049250313e-16 relative error = 1.828620023765978e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2140000000000001 y[1] (analytic) = 1.214960077581829 y[1] (numeric) = 1.21496007758183 absolute error = 4.440892098500626e-16 relative error = 3.655175326698358e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2150000000000001 y[1] (analytic) = 1.215646069375611 y[1] (numeric) = 1.215646069375611 absolute error = 2.220446049250313e-16 relative error = 1.826556351546298e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2160000000000001 y[1] (analytic) = 1.216332138599474 y[1] (numeric) = 1.216332138599474 absolute error = 2.220446049250313e-16 relative error = 1.825526086819518e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2170000000000001 y[1] (analytic) = 1.217018285227212 y[1] (numeric) = 1.217018285227212 absolute error = 2.220446049250313e-16 relative error = 1.82449686763397e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2180000000000001 y[1] (analytic) = 1.217704509232637 y[1] (numeric) = 1.217704509232638 absolute error = 4.440892098500626e-16 relative error = 3.646937384915451e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2190000000000001 y[1] (analytic) = 1.218390810589584 y[1] (numeric) = 1.218390810589585 absolute error = 4.440892098500626e-16 relative error = 3.644883119523579e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 1.219077189271908 y[1] (numeric) = 1.219077189271909 absolute error = 2.220446049250313e-16 relative error = 1.821415468020093e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2210000000000001 y[1] (analytic) = 1.219763645253483 y[1] (numeric) = 1.219763645253483 absolute error = 2.220446049250313e-16 relative error = 1.820390415709491e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2220000000000001 y[1] (analytic) = 1.220450178508205 y[1] (numeric) = 1.220450178508205 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2230000000000001 y[1] (analytic) = 1.22113678900999 y[1] (numeric) = 1.22113678900999 absolute error = 2.220446049250313e-16 relative error = 1.818343423303536e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2240000000000001 y[1] (analytic) = 1.221823476732775 y[1] (numeric) = 1.221823476732776 absolute error = 2.220446049250313e-16 relative error = 1.817321480176425e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2250000000000001 y[1] (analytic) = 1.222510241650518 y[1] (numeric) = 1.222510241650518 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2260000000000001 y[1] (analytic) = 1.223197083737195 y[1] (numeric) = 1.223197083737195 absolute error = 2.220446049250313e-16 relative error = 1.81528069251625e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2270000000000001 y[1] (analytic) = 1.223884002966806 y[1] (numeric) = 1.223884002966806 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2280000000000001 y[1] (analytic) = 1.224570999313369 y[1] (numeric) = 1.224570999313369 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2290000000000001 y[1] (analytic) = 1.225258072750922 y[1] (numeric) = 1.225258072750922 absolute error = 2.220446049250313e-16 relative error = 1.81222723492449e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 1.225945223253526 y[1] (numeric) = 1.225945223253526 absolute error = 2.220446049250313e-16 relative error = 1.811211469430493e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2310000000000001 y[1] (analytic) = 1.22663245079526 y[1] (numeric) = 1.22663245079526 absolute error = 2.220446049250313e-16 relative error = 1.810196728295208e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2320000000000001 y[1] (analytic) = 1.227319755350225 y[1] (numeric) = 1.227319755350225 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2330000000000001 y[1] (analytic) = 1.22800713689254 y[1] (numeric) = 1.22800713689254 absolute error = 2.220446049250313e-16 relative error = 1.808170313137699e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2340000000000001 y[1] (analytic) = 1.228694595396347 y[1] (numeric) = 1.228694595396347 absolute error = 2.220446049250313e-16 relative error = 1.807158636141027e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2350000000000001 y[1] (analytic) = 1.229382130835806 y[1] (numeric) = 1.229382130835806 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2360000000000001 y[1] (analytic) = 1.2300697431851 y[1] (numeric) = 1.2300697431851 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2370000000000001 y[1] (analytic) = 1.230757432418428 y[1] (numeric) = 1.230757432418428 absolute error = 2.220446049250313e-16 relative error = 1.804129709691986e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2380000000000001 y[1] (analytic) = 1.231445198510013 y[1] (numeric) = 1.231445198510013 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2390000000000001 y[1] (analytic) = 1.232133041434097 y[1] (numeric) = 1.232133041434097 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 1.232820961164941 y[1] (numeric) = 1.232820961164941 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2410000000000001 y[1] (analytic) = 1.233508957676828 y[1] (numeric) = 1.233508957676828 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2420000000000001 y[1] (analytic) = 1.234197030944059 y[1] (numeric) = 1.234197030944059 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2430000000000001 y[1] (analytic) = 1.234885180940957 y[1] (numeric) = 1.234885180940957 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2440000000000001 y[1] (analytic) = 1.235573407641864 y[1] (numeric) = 1.235573407641864 absolute error = 2.220446049250313e-16 relative error = 1.79709763541133e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2450000000000001 y[1] (analytic) = 1.236261711021142 y[1] (numeric) = 1.236261711021142 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2460000000000001 y[1] (analytic) = 1.236950091053173 y[1] (numeric) = 1.236950091053173 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2470000000000001 y[1] (analytic) = 1.23763854771236 y[1] (numeric) = 1.23763854771236 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2480000000000001 y[1] (analytic) = 1.238327080973124 y[1] (numeric) = 1.238327080973125 absolute error = 2.220446049250313e-16 relative error = 1.793101421560935e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2490000000000001 y[1] (analytic) = 1.239015690809908 y[1] (numeric) = 1.239015690809909 absolute error = 2.220446049250313e-16 relative error = 1.792104866564581e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 1.239704377197174 y[1] (numeric) = 1.239704377197174 absolute error = 2.220446049250313e-16 relative error = 1.791109308067849e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2510000000000001 y[1] (analytic) = 1.240393140109403 y[1] (numeric) = 1.240393140109403 absolute error = 2.220446049250313e-16 relative error = 1.790114744632069e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2520000000000001 y[1] (analytic) = 1.241081979521096 y[1] (numeric) = 1.241081979521096 absolute error = 4.440892098500626e-16 relative error = 3.578242349642576e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2530000000000001 y[1] (analytic) = 1.241770895406776 y[1] (numeric) = 1.241770895406776 absolute error = 4.440892098500626e-16 relative error = 3.576257194404521e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2540000000000001 y[1] (analytic) = 1.242459887740983 y[1] (numeric) = 1.242459887740983 absolute error = 4.440892098500626e-16 relative error = 3.574274020688888e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2550000000000001 y[1] (analytic) = 1.243148956498278 y[1] (numeric) = 1.243148956498279 absolute error = 2.220446049250313e-16 relative error = 1.78614641281999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2560000000000001 y[1] (analytic) = 1.243838101653243 y[1] (numeric) = 1.243838101653243 absolute error = 2.220446049250313e-16 relative error = 1.785156803203741e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2570000000000001 y[1] (analytic) = 1.244527323180477 y[1] (numeric) = 1.244527323180477 absolute error = 2.220446049250313e-16 relative error = 1.784168180073225e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2580000000000001 y[1] (analytic) = 1.245216621054601 y[1] (numeric) = 1.245216621054601 absolute error = 2.220446049250313e-16 relative error = 1.783180542008643e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2590000000000001 y[1] (analytic) = 1.245905995250254 y[1] (numeric) = 1.245905995250254 absolute error = 2.220446049250313e-16 relative error = 1.78219388759287e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 1.246595445742096 y[1] (numeric) = 1.246595445742096 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2610000000000001 y[1] (analytic) = 1.247284972504806 y[1] (numeric) = 1.247284972504806 absolute error = 2.220446049250313e-16 relative error = 1.780223524052566e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2620000000000001 y[1] (analytic) = 1.247974575513082 y[1] (numeric) = 1.247974575513082 absolute error = 2.220446049250313e-16 relative error = 1.779239812107083e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2630000000000001 y[1] (analytic) = 1.248664254741644 y[1] (numeric) = 1.248664254741644 absolute error = 2.220446049250313e-16 relative error = 1.778257078168492e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2640000000000001 y[1] (analytic) = 1.249354010165228 y[1] (numeric) = 1.249354010165228 absolute error = 2.220446049250313e-16 relative error = 1.77727532083293e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2650000000000001 y[1] (analytic) = 1.250043841758592 y[1] (numeric) = 1.250043841758592 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2660000000000001 y[1] (analytic) = 1.250733749496513 y[1] (numeric) = 1.250733749496513 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2670000000000001 y[1] (analytic) = 1.251423733353787 y[1] (numeric) = 1.251423733353787 absolute error = 2.220446049250313e-16 relative error = 1.774335894445256e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2680000000000001 y[1] (analytic) = 1.252113793305229 y[1] (numeric) = 1.25211379330523 absolute error = 2.220446049250313e-16 relative error = 1.773358029535764e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2690000000000001 y[1] (analytic) = 1.252803929325676 y[1] (numeric) = 1.252803929325677 absolute error = 2.220446049250313e-16 relative error = 1.772381134249373e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 1.253494141389982 y[1] (numeric) = 1.253494141389982 absolute error = 2.220446049250313e-16 relative error = 1.771405207197931e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2710000000000001 y[1] (analytic) = 1.25418442947302 y[1] (numeric) = 1.25418442947302 absolute error = 2.220446049250313e-16 relative error = 1.770430246995886e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2720000000000001 y[1] (analytic) = 1.254874793549684 y[1] (numeric) = 1.254874793549684 absolute error = 2.220446049250313e-16 relative error = 1.769456252260277e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2730000000000001 y[1] (analytic) = 1.255565233594887 y[1] (numeric) = 1.255565233594887 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2740000000000001 y[1] (analytic) = 1.256255749583561 y[1] (numeric) = 1.256255749583561 absolute error = 2.220446049250313e-16 relative error = 1.767511153669445e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2750000000000001 y[1] (analytic) = 1.256946341490657 y[1] (numeric) = 1.256946341490657 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2760000000000001 y[1] (analytic) = 1.257637009291145 y[1] (numeric) = 1.257637009291145 absolute error = 2.220446049250313e-16 relative error = 1.765569900413353e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2770000000000001 y[1] (analytic) = 1.258327752960015 y[1] (numeric) = 1.258327752960015 absolute error = 2.220446049250313e-16 relative error = 1.764600712355798e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2780000000000001 y[1] (analytic) = 1.259018572472277 y[1] (numeric) = 1.259018572472278 absolute error = 2.220446049250313e-16 relative error = 1.763632481521003e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2790000000000001 y[1] (analytic) = 1.259709467802959 y[1] (numeric) = 1.259709467802959 absolute error = 2.220446049250313e-16 relative error = 1.762665206543983e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 1.260400438927108 y[1] (numeric) = 1.260400438927108 absolute error = 2.220446049250313e-16 relative error = 1.761698886062295e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2810000000000001 y[1] (analytic) = 1.261091485819791 y[1] (numeric) = 1.261091485819791 absolute error = 2.220446049250313e-16 relative error = 1.760733518716036e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2820000000000001 y[1] (analytic) = 1.261782608456092 y[1] (numeric) = 1.261782608456093 absolute error = 4.440892098500626e-16 relative error = 3.519538206295669e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2830000000000001 y[1] (analytic) = 1.262473806811119 y[1] (numeric) = 1.262473806811119 absolute error = 4.440892098500626e-16 relative error = 3.517611276005695e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2840000000000001 y[1] (analytic) = 1.263165080859993 y[1] (numeric) = 1.263165080859993 absolute error = 6.661338147750939e-16 relative error = 5.273529365786254e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2850000000000001 y[1] (analytic) = 1.263856430577858 y[1] (numeric) = 1.263856430577858 absolute error = 4.440892098500626e-16 relative error = 3.513763107151475e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2860000000000001 y[1] (analytic) = 1.264547855939876 y[1] (numeric) = 1.264547855939877 absolute error = 4.440892098500626e-16 relative error = 3.511841863193014e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2870000000000001 y[1] (analytic) = 1.265239356921228 y[1] (numeric) = 1.265239356921229 absolute error = 4.440892098500626e-16 relative error = 3.509922509292531e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2880000000000001 y[1] (analytic) = 1.265930933497115 y[1] (numeric) = 1.265930933497115 absolute error = 4.440892098500626e-16 relative error = 3.50800504276543e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2890000000000001 y[1] (analytic) = 1.266622585642754 y[1] (numeric) = 1.266622585642754 absolute error = 6.661338147750939e-16 relative error = 5.259134191398151e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 1.267314313333384 y[1] (numeric) = 1.267314313333385 absolute error = 4.440892098500626e-16 relative error = 3.504175761117904e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2910000000000001 y[1] (analytic) = 1.268006116544262 y[1] (numeric) = 1.268006116544262 absolute error = 4.440892098500626e-16 relative error = 3.502263940653167e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2920000000000001 y[1] (analytic) = 1.268697995250663 y[1] (numeric) = 1.268697995250664 absolute error = 6.661338147750939e-16 relative error = 5.250530995309742e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2930000000000001 y[1] (analytic) = 1.269389949427883 y[1] (numeric) = 1.269389949427883 absolute error = 4.440892098500626e-16 relative error = 3.498445927118099e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2940000000000002 y[1] (analytic) = 1.270081979051234 y[1] (numeric) = 1.270081979051234 absolute error = 6.661338147750939e-16 relative error = 5.244809593099682e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2950000000000002 y[1] (analytic) = 1.270774084096049 y[1] (numeric) = 1.270774084096049 absolute error = 4.440892098500626e-16 relative error = 3.494635399068282e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2960000000000002 y[1] (analytic) = 1.271466264537679 y[1] (numeric) = 1.271466264537679 absolute error = 6.661338147750939e-16 relative error = 5.239099403217817e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2970000000000002 y[1] (analytic) = 1.272158520351493 y[1] (numeric) = 1.272158520351494 absolute error = 8.881784197001252e-16 relative error = 6.981664670647526e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2980000000000002 y[1] (analytic) = 1.272850851512882 y[1] (numeric) = 1.272850851512883 absolute error = 6.661338147750939e-16 relative error = 5.233400393953008e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.2990000000000002 y[1] (analytic) = 1.273543257997251 y[1] (numeric) = 1.273543257997252 absolute error = 8.881784197001252e-16 relative error = 6.974073429565769e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 1.274235739780028 y[1] (numeric) = 1.274235739780029 absolute error = 6.661338147750939e-16 relative error = 5.227712533711297e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3010000000000002 y[1] (analytic) = 1.274928296836656 y[1] (numeric) = 1.274928296836657 absolute error = 6.661338147750939e-16 relative error = 5.2248727746329e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3020000000000002 y[1] (analytic) = 1.2756209291426 y[1] (numeric) = 1.275620929142601 absolute error = 8.881784197001252e-16 relative error = 6.962714388020493e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3030000000000002 y[1] (analytic) = 1.276313636673342 y[1] (numeric) = 1.276313636673343 absolute error = 6.661338147750939e-16 relative error = 5.219201578942177e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3040000000000002 y[1] (analytic) = 1.277006419404382 y[1] (numeric) = 1.277006419404383 absolute error = 8.881784197001252e-16 relative error = 6.9551601793387e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3050000000000002 y[1] (analytic) = 1.27769927731124 y[1] (numeric) = 1.277699277311241 absolute error = 6.661338147750939e-16 relative error = 5.213541453798816e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3060000000000002 y[1] (analytic) = 1.278392210369454 y[1] (numeric) = 1.278392210369454 absolute error = 6.661338147750939e-16 relative error = 5.21071553293165e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3070000000000002 y[1] (analytic) = 1.27908521855458 y[1] (numeric) = 1.279085218554581 absolute error = 8.881784197001252e-16 relative error = 6.943856490686401e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3080000000000002 y[1] (analytic) = 1.279778301842194 y[1] (numeric) = 1.279778301842194 absolute error = 6.661338147750939e-16 relative error = 5.205071955167694e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3090000000000002 y[1] (analytic) = 1.280471460207888 y[1] (numeric) = 1.280471460207889 absolute error = 8.881784197001252e-16 relative error = 6.936339054022546e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 1.281164693627276 y[1] (numeric) = 1.281164693627277 absolute error = 8.881784197001252e-16 relative error = 6.932585826928189e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3110000000000002 y[1] (analytic) = 1.281858002075988 y[1] (numeric) = 1.281858002075989 absolute error = 1.110223024625157e-15 relative error = 8.661045317243671e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3120000000000002 y[1] (analytic) = 1.282551385529673 y[1] (numeric) = 1.282551385529674 absolute error = 1.110223024625157e-15 relative error = 8.656362911858322e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3130000000000002 y[1] (analytic) = 1.283244843963998 y[1] (numeric) = 1.283244843963999 absolute error = 1.110223024625157e-15 relative error = 8.651685061095824e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3140000000000002 y[1] (analytic) = 1.28393837735465 y[1] (numeric) = 1.283938377354651 absolute error = 1.110223024625157e-15 relative error = 8.647011758559582e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3150000000000002 y[1] (analytic) = 1.284631985677332 y[1] (numeric) = 1.284631985677333 absolute error = 1.110223024625157e-15 relative error = 8.64234299786474e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3160000000000002 y[1] (analytic) = 1.285325668907767 y[1] (numeric) = 1.285325668907768 absolute error = 1.110223024625157e-15 relative error = 8.637678772638162e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3170000000000002 y[1] (analytic) = 1.286019427021696 y[1] (numeric) = 1.286019427021698 absolute error = 1.332267629550188e-15 relative error = 1.035962289182208e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3180000000000002 y[1] (analytic) = 1.286713259994879 y[1] (numeric) = 1.286713259994881 absolute error = 1.110223024625157e-15 relative error = 8.628363903155664e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3190000000000002 y[1] (analytic) = 1.287407167803093 y[1] (numeric) = 1.287407167803095 absolute error = 1.332267629550188e-15 relative error = 1.034845589545417e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 1.288101150422135 y[1] (numeric) = 1.288101150422136 absolute error = 1.110223024625157e-15 relative error = 8.619067099360294e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3210000000000002 y[1] (analytic) = 1.288795207827817 y[1] (numeric) = 1.288795207827818 absolute error = 1.110223024625157e-15 relative error = 8.614425456286165e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3220000000000002 y[1] (analytic) = 1.289489339995973 y[1] (numeric) = 1.289489339995974 absolute error = 1.110223024625157e-15 relative error = 8.609788310686025e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3230000000000002 y[1] (analytic) = 1.290183546902453 y[1] (numeric) = 1.290183546902454 absolute error = 8.881784197001252e-16 relative error = 6.884124525014405e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3240000000000002 y[1] (analytic) = 1.290877828523127 y[1] (numeric) = 1.290877828523127 absolute error = 8.881784197001252e-16 relative error = 6.880421989401402e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3250000000000002 y[1] (analytic) = 1.29157218483388 y[1] (numeric) = 1.291572184833881 absolute error = 8.881784197001252e-16 relative error = 6.876723036694704e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3260000000000002 y[1] (analytic) = 1.292266615810618 y[1] (numeric) = 1.292266615810619 absolute error = 1.110223024625157e-15 relative error = 8.591284577360465e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3270000000000002 y[1] (analytic) = 1.292961121429265 y[1] (numeric) = 1.292961121429266 absolute error = 1.110223024625157e-15 relative error = 8.586669824982005e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3280000000000002 y[1] (analytic) = 1.293655701665762 y[1] (numeric) = 1.293655701665763 absolute error = 1.110223024625157e-15 relative error = 8.582059532498407e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3290000000000002 y[1] (analytic) = 1.294350356496067 y[1] (numeric) = 1.294350356496069 absolute error = 1.110223024625157e-15 relative error = 8.577453693686449e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 1.29504508589616 y[1] (numeric) = 1.295045085896161 absolute error = 1.110223024625157e-15 relative error = 8.572852302334261e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3310000000000002 y[1] (analytic) = 1.295739889842035 y[1] (numeric) = 1.295739889842036 absolute error = 8.881784197001252e-16 relative error = 6.854604281793038e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3320000000000002 y[1] (analytic) = 1.296434768309705 y[1] (numeric) = 1.296434768309707 absolute error = 1.110223024625157e-15 relative error = 8.563662837218318e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3330000000000002 y[1] (analytic) = 1.297129721275204 y[1] (numeric) = 1.297129721275205 absolute error = 1.110223024625157e-15 relative error = 8.559074751087348e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3340000000000002 y[1] (analytic) = 1.297824748714579 y[1] (numeric) = 1.29782474871458 absolute error = 1.110223024625157e-15 relative error = 8.554491087681668e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3350000000000002 y[1] (analytic) = 1.298519850603899 y[1] (numeric) = 1.2985198506039 absolute error = 1.110223024625157e-15 relative error = 8.54991184084578e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3360000000000002 y[1] (analytic) = 1.299215026919248 y[1] (numeric) = 1.29921502691925 absolute error = 1.110223024625157e-15 relative error = 8.545337004435383e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3370000000000002 y[1] (analytic) = 1.299910277636732 y[1] (numeric) = 1.299910277636733 absolute error = 1.110223024625157e-15 relative error = 8.540766572317353e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3380000000000002 y[1] (analytic) = 1.300605602732469 y[1] (numeric) = 1.30060560273247 absolute error = 1.110223024625157e-15 relative error = 8.53620053836971e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3390000000000002 y[1] (analytic) = 1.301301002182601 y[1] (numeric) = 1.301301002182602 absolute error = 1.110223024625157e-15 relative error = 8.5316388964816e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 1.301996475963283 y[1] (numeric) = 1.301996475963284 absolute error = 8.881784197001252e-16 relative error = 6.821665312442612e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3410000000000002 y[1] (analytic) = 1.302692024050691 y[1] (numeric) = 1.302692024050692 absolute error = 8.881784197001252e-16 relative error = 6.81802301159682e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3420000000000002 y[1] (analytic) = 1.303387646421017 y[1] (numeric) = 1.303387646421019 absolute error = 1.110223024625157e-15 relative error = 8.517980262232244e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3430000000000002 y[1] (analytic) = 1.304083343050473 y[1] (numeric) = 1.304083343050473 absolute error = 8.881784197001252e-16 relative error = 6.810748902156245e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3440000000000002 y[1] (analytic) = 1.304779113915284 y[1] (numeric) = 1.304779113915285 absolute error = 8.881784197001252e-16 relative error = 6.807117083863684e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3450000000000002 y[1] (analytic) = 1.305474958991699 y[1] (numeric) = 1.3054749589917 absolute error = 8.881784197001252e-16 relative error = 6.803488750072399e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3460000000000002 y[1] (analytic) = 1.30617087825598 y[1] (numeric) = 1.306170878255981 absolute error = 8.881784197001252e-16 relative error = 6.799863895955442e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3470000000000002 y[1] (analytic) = 1.30686687168441 y[1] (numeric) = 1.306866871684411 absolute error = 8.881784197001252e-16 relative error = 6.796242516694601e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3480000000000002 y[1] (analytic) = 1.307562939253286 y[1] (numeric) = 1.307562939253287 absolute error = 8.881784197001252e-16 relative error = 6.792624607480387e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3490000000000002 y[1] (analytic) = 1.308259080938926 y[1] (numeric) = 1.308259080938927 absolute error = 8.881784197001252e-16 relative error = 6.789010163512012e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 1.308955296717664 y[1] (numeric) = 1.308955296717665 absolute error = 6.661338147750939e-16 relative error = 5.089049384998027e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3510000000000002 y[1] (analytic) = 1.309651586565852 y[1] (numeric) = 1.309651586565853 absolute error = 6.661338147750939e-16 relative error = 5.086343739114763e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3520000000000002 y[1] (analytic) = 1.31034795045986 y[1] (numeric) = 1.310347950459861 absolute error = 6.661338147750939e-16 relative error = 5.083640681403116e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3530000000000002 y[1] (analytic) = 1.311044388376075 y[1] (numeric) = 1.311044388376076 absolute error = 4.440892098500626e-16 relative error = 3.3872934721923e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3540000000000002 y[1] (analytic) = 1.311740900290902 y[1] (numeric) = 1.311740900290902 absolute error = 6.661338147750939e-16 relative error = 5.078242316202591e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3550000000000002 y[1] (analytic) = 1.312437486180762 y[1] (numeric) = 1.312437486180763 absolute error = 4.440892098500626e-16 relative error = 3.383698001055862e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3560000000000002 y[1] (analytic) = 1.313134146022097 y[1] (numeric) = 1.313134146022097 absolute error = 4.440892098500626e-16 relative error = 3.381902840584497e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3570000000000002 y[1] (analytic) = 1.313830879791362 y[1] (numeric) = 1.313830879791363 absolute error = 6.661338147750939e-16 relative error = 5.070164090532541e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3580000000000002 y[1] (analytic) = 1.314527687465034 y[1] (numeric) = 1.314527687465034 absolute error = 6.661338147750939e-16 relative error = 5.06747648700867e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3590000000000002 y[1] (analytic) = 1.315224569019603 y[1] (numeric) = 1.315224569019604 absolute error = 6.661338147750939e-16 relative error = 5.064791446769007e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 1.315921524431581 y[1] (numeric) = 1.315921524431581 absolute error = 6.661338147750939e-16 relative error = 5.062108966283791e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3610000000000002 y[1] (analytic) = 1.316618553677493 y[1] (numeric) = 1.316618553677494 absolute error = 8.881784197001252e-16 relative error = 6.745905389372823e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3620000000000002 y[1] (analytic) = 1.317315656733885 y[1] (numeric) = 1.317315656733886 absolute error = 8.881784197001252e-16 relative error = 6.742335560652559e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3630000000000002 y[1] (analytic) = 1.318012833577319 y[1] (numeric) = 1.318012833577319 absolute error = 6.661338147750939e-16 relative error = 5.054076848152454e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3640000000000002 y[1] (analytic) = 1.318710084184373 y[1] (numeric) = 1.318710084184374 absolute error = 6.661338147750939e-16 relative error = 5.051404571514293e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3650000000000002 y[1] (analytic) = 1.319407408531645 y[1] (numeric) = 1.319407408531645 absolute error = 4.440892098500626e-16 relative error = 3.365823224717869e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3660000000000002 y[1] (analytic) = 1.320104806595747 y[1] (numeric) = 1.320104806595748 absolute error = 6.661338147750939e-16 relative error = 5.046067641348137e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3670000000000002 y[1] (analytic) = 1.320802278353312 y[1] (numeric) = 1.320802278353313 absolute error = 8.881784197001252e-16 relative error = 6.724537307790283e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3680000000000002 y[1] (analytic) = 1.321499823780988 y[1] (numeric) = 1.321499823780989 absolute error = 6.661338147750939e-16 relative error = 5.040740852081204e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3690000000000002 y[1] (analytic) = 1.322197442855441 y[1] (numeric) = 1.322197442855442 absolute error = 8.881784197001252e-16 relative error = 6.717441668787375e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 1.322895135553353 y[1] (numeric) = 1.322895135553354 absolute error = 6.661338147750939e-16 relative error = 5.035424175903837e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3710000000000002 y[1] (analytic) = 1.323592901851425 y[1] (numeric) = 1.323592901851426 absolute error = 8.881784197001252e-16 relative error = 6.710359495413977e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3720000000000002 y[1] (analytic) = 1.324290741726375 y[1] (numeric) = 1.324290741726376 absolute error = 1.110223024625157e-15 relative error = 8.383529308510043e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3730000000000002 y[1] (analytic) = 1.324988655154936 y[1] (numeric) = 1.324988655154937 absolute error = 1.110223024625157e-15 relative error = 8.379113438487016e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3740000000000002 y[1] (analytic) = 1.325686642113861 y[1] (numeric) = 1.325686642113862 absolute error = 1.110223024625157e-15 relative error = 8.374701753461594e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3750000000000002 y[1] (analytic) = 1.326384702579918 y[1] (numeric) = 1.32638470257992 absolute error = 1.110223024625157e-15 relative error = 8.370294247707237e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3760000000000002 y[1] (analytic) = 1.327082836529894 y[1] (numeric) = 1.327082836529895 absolute error = 1.110223024625157e-15 relative error = 8.365890915507649e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3770000000000002 y[1] (analytic) = 1.327781043940591 y[1] (numeric) = 1.327781043940593 absolute error = 1.332267629550188e-15 relative error = 1.003379010138811e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3780000000000002 y[1] (analytic) = 1.328479324788831 y[1] (numeric) = 1.328479324788832 absolute error = 1.332267629550188e-15 relative error = 1.002851609875042e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3790000000000002 y[1] (analytic) = 1.329177679051449 y[1] (numeric) = 1.32917767905145 absolute error = 1.110223024625157e-15 relative error = 8.352705903227726e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 1.3298761067053 y[1] (numeric) = 1.329876106705301 absolute error = 1.110223024625157e-15 relative error = 8.348319208288335e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3810000000000002 y[1] (analytic) = 1.330574607727256 y[1] (numeric) = 1.330574607727257 absolute error = 1.110223024625157e-15 relative error = 8.34393665847509e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3820000000000002 y[1] (analytic) = 1.331273182094205 y[1] (numeric) = 1.331273182094206 absolute error = 1.110223024625157e-15 relative error = 8.33955824813268e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3830000000000002 y[1] (analytic) = 1.331971829783052 y[1] (numeric) = 1.331971829783053 absolute error = 1.110223024625157e-15 relative error = 8.335183971615879e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3840000000000002 y[1] (analytic) = 1.332670550770719 y[1] (numeric) = 1.33267055077072 absolute error = 1.110223024625157e-15 relative error = 8.330813823289522e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3850000000000002 y[1] (analytic) = 1.333369345034146 y[1] (numeric) = 1.333369345034147 absolute error = 8.881784197001252e-16 relative error = 6.66115823802279e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3860000000000002 y[1] (analytic) = 1.334068212550288 y[1] (numeric) = 1.334068212550289 absolute error = 1.110223024625157e-15 relative error = 8.322085888717677e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3870000000000002 y[1] (analytic) = 1.334767153296119 y[1] (numeric) = 1.33476715329612 absolute error = 1.110223024625157e-15 relative error = 8.31772809125198e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3880000000000002 y[1] (analytic) = 1.335466167248628 y[1] (numeric) = 1.335466167248629 absolute error = 8.881784197001252e-16 relative error = 6.650699519629014e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3890000000000002 y[1] (analytic) = 1.336165254384823 y[1] (numeric) = 1.336165254384824 absolute error = 8.881784197001252e-16 relative error = 6.647219846388289e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 1.336864414681727 y[1] (numeric) = 1.336864414681727 absolute error = 6.661338147750939e-16 relative error = 4.982807586614409e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3910000000000002 y[1] (analytic) = 1.33756364811638 y[1] (numeric) = 1.33756364811638 absolute error = 8.881784197001252e-16 relative error = 6.640270322469515e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3920000000000002 y[1] (analytic) = 1.338262954665839 y[1] (numeric) = 1.33826295466584 absolute error = 1.110223024625157e-15 relative error = 8.296000578618548e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3930000000000002 y[1] (analytic) = 1.338962334307179 y[1] (numeric) = 1.33896233430718 absolute error = 1.110223024625157e-15 relative error = 8.291667332073392e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3940000000000002 y[1] (analytic) = 1.33966178701749 y[1] (numeric) = 1.339661787017491 absolute error = 8.881784197001252e-16 relative error = 6.629870526332552e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3950000000000002 y[1] (analytic) = 1.34036131277388 y[1] (numeric) = 1.340361312773881 absolute error = 8.881784197001252e-16 relative error = 6.62641044049562e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3960000000000002 y[1] (analytic) = 1.341060911553473 y[1] (numeric) = 1.341060911553474 absolute error = 1.110223024625157e-15 relative error = 8.278692004668785e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3970000000000002 y[1] (analytic) = 1.341760583333409 y[1] (numeric) = 1.341760583333411 absolute error = 1.332267629550188e-15 relative error = 9.929250017468559e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3980000000000002 y[1] (analytic) = 1.342460328090848 y[1] (numeric) = 1.342460328090849 absolute error = 1.110223024625157e-15 relative error = 8.270062074787989e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.3990000000000002 y[1] (analytic) = 1.343160145802963 y[1] (numeric) = 1.343160145802964 absolute error = 1.110223024625157e-15 relative error = 8.265753179874521e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 1.343860036446944 y[1] (numeric) = 1.343860036446945 absolute error = 1.110223024625157e-15 relative error = 8.261448324339604e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4010000000000002 y[1] (analytic) = 1.34456 y[1] (numeric) = 1.344560000000001 absolute error = 1.110223024625157e-15 relative error = 8.257147502715806e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4020000000000002 y[1] (analytic) = 1.345260036439355 y[1] (numeric) = 1.345260036439356 absolute error = 1.110223024625157e-15 relative error = 8.252850709545373e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4030000000000002 y[1] (analytic) = 1.345960145742249 y[1] (numeric) = 1.345960145742251 absolute error = 1.110223024625157e-15 relative error = 8.248557939380202e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4040000000000002 y[1] (analytic) = 1.346660327885941 y[1] (numeric) = 1.346660327885942 absolute error = 1.110223024625157e-15 relative error = 8.244269186781821e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4050000000000002 y[1] (analytic) = 1.347360582847703 y[1] (numeric) = 1.347360582847704 absolute error = 1.110223024625157e-15 relative error = 8.239984446321367e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4060000000000002 y[1] (analytic) = 1.348060910604826 y[1] (numeric) = 1.348060910604828 absolute error = 1.332267629550188e-15 relative error = 9.882844455095484e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4070000000000003 y[1] (analytic) = 1.348761311134618 y[1] (numeric) = 1.34876131113462 absolute error = 1.332267629550188e-15 relative error = 9.877712376176067e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4080000000000003 y[1] (analytic) = 1.349461784414403 y[1] (numeric) = 1.349461784414404 absolute error = 1.110223024625157e-15 relative error = 8.227154243622665e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4090000000000003 y[1] (analytic) = 1.350162330421518 y[1] (numeric) = 1.350162330421519 absolute error = 1.332267629550188e-15 relative error = 9.867462597140127e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 1.350862949133322 y[1] (numeric) = 1.350862949133323 absolute error = 1.110223024625157e-15 relative error = 8.218620736747915e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4110000000000003 y[1] (analytic) = 1.351563640527187 y[1] (numeric) = 1.351563640527188 absolute error = 1.110223024625157e-15 relative error = 8.214359955644455e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4120000000000003 y[1] (analytic) = 1.352264404580503 y[1] (numeric) = 1.352264404580504 absolute error = 1.110223024625157e-15 relative error = 8.210103148944218e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4130000000000003 y[1] (analytic) = 1.352965241270675 y[1] (numeric) = 1.352965241270676 absolute error = 1.110223024625157e-15 relative error = 8.205850311294469e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4140000000000003 y[1] (analytic) = 1.353666150575125 y[1] (numeric) = 1.353666150575126 absolute error = 1.110223024625157e-15 relative error = 8.201601437351905e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4150000000000003 y[1] (analytic) = 1.354367132471292 y[1] (numeric) = 1.354367132471293 absolute error = 8.881784197001252e-16 relative error = 6.557885217426092e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4160000000000003 y[1] (analytic) = 1.355068186936631 y[1] (numeric) = 1.355068186936632 absolute error = 1.110223024625157e-15 relative error = 8.193115559262081e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4170000000000003 y[1] (analytic) = 1.355769313948612 y[1] (numeric) = 1.355769313948613 absolute error = 1.110223024625157e-15 relative error = 8.188878544475138e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4180000000000003 y[1] (analytic) = 1.356470513484724 y[1] (numeric) = 1.356470513484725 absolute error = 8.881784197001252e-16 relative error = 6.547716377692774e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4190000000000003 y[1] (analytic) = 1.357171785522469 y[1] (numeric) = 1.35717178552247 absolute error = 1.110223024625157e-15 relative error = 8.180416336888077e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 1.357873130039369 y[1] (numeric) = 1.35787313003937 absolute error = 8.881784197001252e-16 relative error = 6.540952906803409e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4210000000000003 y[1] (analytic) = 1.358574547012958 y[1] (numeric) = 1.358574547012959 absolute error = 8.881784197001252e-16 relative error = 6.53757588534929e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4220000000000003 y[1] (analytic) = 1.359276036420791 y[1] (numeric) = 1.359276036420792 absolute error = 8.881784197001252e-16 relative error = 6.534202000933179e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4230000000000003 y[1] (analytic) = 1.359977598240435 y[1] (numeric) = 1.359977598240436 absolute error = 6.661338147750939e-16 relative error = 4.898123437010657e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4240000000000003 y[1] (analytic) = 1.360679232449476 y[1] (numeric) = 1.360679232449477 absolute error = 6.661338147750939e-16 relative error = 4.895597719794172e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4250000000000003 y[1] (analytic) = 1.361380939025515 y[1] (numeric) = 1.361380939025515 absolute error = 4.440892098500626e-16 relative error = 3.262049563937222e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4260000000000003 y[1] (analytic) = 1.362082717946168 y[1] (numeric) = 1.362082717946169 absolute error = 6.661338147750939e-16 relative error = 4.890553312206556e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4270000000000003 y[1] (analytic) = 1.36278456918907 y[1] (numeric) = 1.36278456918907 absolute error = 6.661338147750939e-16 relative error = 4.888034615562748e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4280000000000003 y[1] (analytic) = 1.36348649273187 y[1] (numeric) = 1.36348649273187 absolute error = 6.661338147750939e-16 relative error = 4.885518252846305e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4290000000000003 y[1] (analytic) = 1.364188488552233 y[1] (numeric) = 1.364188488552234 absolute error = 6.661338147750939e-16 relative error = 4.883004220934595e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 1.364890556627842 y[1] (numeric) = 1.364890556627842 absolute error = 4.440892098500626e-16 relative error = 3.253661677806964e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4310000000000003 y[1] (analytic) = 1.365592696936394 y[1] (numeric) = 1.365592696936395 absolute error = 4.440892098500626e-16 relative error = 3.251988758041427e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4320000000000003 y[1] (analytic) = 1.366294909455603 y[1] (numeric) = 1.366294909455604 absolute error = 6.661338147750939e-16 relative error = 4.875476078883389e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4330000000000003 y[1] (analytic) = 1.3669971941632 y[1] (numeric) = 1.3669971941632 absolute error = 4.440892098500626e-16 relative error = 3.248647559382223e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4340000000000003 y[1] (analytic) = 1.367699551036929 y[1] (numeric) = 1.36769955103693 absolute error = 6.661338147750939e-16 relative error = 4.870468914536535e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4350000000000003 y[1] (analytic) = 1.368401980054554 y[1] (numeric) = 1.368401980054555 absolute error = 6.661338147750939e-16 relative error = 4.867968802182946e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4360000000000003 y[1] (analytic) = 1.369104481193852 y[1] (numeric) = 1.369104481193852 absolute error = 6.661338147750939e-16 relative error = 4.865470998927918e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4370000000000003 y[1] (analytic) = 1.369807054432616 y[1] (numeric) = 1.369807054432617 absolute error = 6.661338147750939e-16 relative error = 4.86297550169218e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4380000000000003 y[1] (analytic) = 1.370509699748658 y[1] (numeric) = 1.370509699748659 absolute error = 6.661338147750939e-16 relative error = 4.860482307401825e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4390000000000003 y[1] (analytic) = 1.371212417119802 y[1] (numeric) = 1.371212417119803 absolute error = 6.661338147750939e-16 relative error = 4.857991412988308e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 1.37191520652389 y[1] (numeric) = 1.371915206523891 absolute error = 6.661338147750939e-16 relative error = 4.855502815388424e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4410000000000003 y[1] (analytic) = 1.37261806793878 y[1] (numeric) = 1.372618067938781 absolute error = 8.881784197001252e-16 relative error = 6.470688682059071e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4420000000000003 y[1] (analytic) = 1.373321001342345 y[1] (numeric) = 1.373321001342346 absolute error = 8.881784197001252e-16 relative error = 6.467376664537861e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4430000000000003 y[1] (analytic) = 1.374024006712476 y[1] (numeric) = 1.374024006712476 absolute error = 6.661338147750939e-16 relative error = 4.848050772918462e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4440000000000003 y[1] (analytic) = 1.374727084027075 y[1] (numeric) = 1.374727084027076 absolute error = 6.661338147750939e-16 relative error = 4.845571332047564e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4450000000000003 y[1] (analytic) = 1.375430233264066 y[1] (numeric) = 1.375430233264067 absolute error = 6.661338147750939e-16 relative error = 4.843094172754048e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4460000000000003 y[1] (analytic) = 1.376133454401384 y[1] (numeric) = 1.376133454401385 absolute error = 6.661338147750939e-16 relative error = 4.840619292006538e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4470000000000003 y[1] (analytic) = 1.376836747416982 y[1] (numeric) = 1.376836747416983 absolute error = 6.661338147750939e-16 relative error = 4.838146686778921e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4480000000000003 y[1] (analytic) = 1.377540112288829 y[1] (numeric) = 1.37754011228883 absolute error = 6.661338147750939e-16 relative error = 4.835676354050338e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4490000000000003 y[1] (analytic) = 1.378243548994909 y[1] (numeric) = 1.378243548994909 absolute error = 6.661338147750939e-16 relative error = 4.833208290805173e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 1.378947057513221 y[1] (numeric) = 1.378947057513221 absolute error = 4.440892098500626e-16 relative error = 3.220494996022027e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4510000000000003 y[1] (analytic) = 1.37965063782178 y[1] (numeric) = 1.379650637821781 absolute error = 6.661338147750939e-16 relative error = 4.828278960728777e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4520000000000003 y[1] (analytic) = 1.380354289898619 y[1] (numeric) = 1.38035428989862 absolute error = 4.440892098500626e-16 relative error = 3.21721179192828e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4530000000000003 y[1] (analytic) = 1.381058013721784 y[1] (numeric) = 1.381058013721785 absolute error = 4.440892098500626e-16 relative error = 3.215572448352809e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4540000000000003 y[1] (analytic) = 1.381761809269338 y[1] (numeric) = 1.381761809269339 absolute error = 4.440892098500626e-16 relative error = 3.213934607766389e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4550000000000003 y[1] (analytic) = 1.382465676519359 y[1] (numeric) = 1.382465676519359 absolute error = 2.220446049250313e-16 relative error = 1.60614913408971e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4560000000000003 y[1] (analytic) = 1.38316961544994 y[1] (numeric) = 1.383169615449941 absolute error = 2.220446049250313e-16 relative error = 1.605331713802873e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4570000000000003 y[1] (analytic) = 1.383873626039192 y[1] (numeric) = 1.383873626039192 absolute error = 4.440892098500626e-16 relative error = 3.209030084062645e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4580000000000003 y[1] (analytic) = 1.384577708265239 y[1] (numeric) = 1.384577708265239 absolute error = 2.220446049250313e-16 relative error = 1.603699117785413e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4590000000000003 y[1] (analytic) = 1.385281862106222 y[1] (numeric) = 1.385281862106222 absolute error = 2.220446049250313e-16 relative error = 1.602883940077208e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 1.385986087540297 y[1] (numeric) = 1.385986087540297 absolute error = 2.220446049250313e-16 relative error = 1.602069507920479e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4610000000000003 y[1] (analytic) = 1.386690384545636 y[1] (numeric) = 1.386690384545636 absolute error = 2.220446049250313e-16 relative error = 1.601255820330698e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4620000000000003 y[1] (analytic) = 1.387394753100426 y[1] (numeric) = 1.387394753100426 absolute error = 2.220446049250313e-16 relative error = 1.600442876325039e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4630000000000003 y[1] (analytic) = 1.388099193182869 y[1] (numeric) = 1.388099193182869 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4640000000000003 y[1] (analytic) = 1.388803704771185 y[1] (numeric) = 1.388803704771185 absolute error = 2.220446049250313e-16 relative error = 1.598819215143257e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4650000000000003 y[1] (analytic) = 1.389508287843607 y[1] (numeric) = 1.389508287843607 absolute error = 2.220446049250313e-16 relative error = 1.598008496009943e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4660000000000003 y[1] (analytic) = 1.390212942378383 y[1] (numeric) = 1.390212942378383 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4670000000000003 y[1] (analytic) = 1.390917668353779 y[1] (numeric) = 1.390917668353779 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4680000000000003 y[1] (analytic) = 1.391622465748075 y[1] (numeric) = 1.391622465748075 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4690000000000003 y[1] (analytic) = 1.392327334539566 y[1] (numeric) = 1.392327334539566 absolute error = 2.220446049250313e-16 relative error = 1.594773006438605e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 1.393032274706562 y[1] (numeric) = 1.393032274706562 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4710000000000003 y[1] (analytic) = 1.393737286227391 y[1] (numeric) = 1.393737286227391 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4720000000000003 y[1] (analytic) = 1.394442369080393 y[1] (numeric) = 1.394442369080393 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4730000000000003 y[1] (analytic) = 1.395147523243925 y[1] (numeric) = 1.395147523243925 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4740000000000003 y[1] (analytic) = 1.39585274869636 y[1] (numeric) = 1.395852748696361 absolute error = 2.220446049250313e-16 relative error = 1.590745192373674e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4750000000000003 y[1] (analytic) = 1.396558045416086 y[1] (numeric) = 1.396558045416086 absolute error = 2.220446049250313e-16 relative error = 1.589941826291052e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4760000000000003 y[1] (analytic) = 1.397263413381503 y[1] (numeric) = 1.397263413381503 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4770000000000003 y[1] (analytic) = 1.397968852571032 y[1] (numeric) = 1.397968852571032 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4780000000000003 y[1] (analytic) = 1.398674362963105 y[1] (numeric) = 1.398674362963105 absolute error = 2.220446049250313e-16 relative error = 1.587536104219625e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4790000000000003 y[1] (analytic) = 1.39937994453617 y[1] (numeric) = 1.39937994453617 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 1.400085597268692 y[1] (numeric) = 1.400085597268692 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4810000000000003 y[1] (analytic) = 1.400791321139149 y[1] (numeric) = 1.400791321139149 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4820000000000003 y[1] (analytic) = 1.401497116126035 y[1] (numeric) = 1.401497116126035 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4830000000000003 y[1] (analytic) = 1.40220298220786 y[1] (numeric) = 1.40220298220786 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4840000000000003 y[1] (analytic) = 1.402908919363148 y[1] (numeric) = 1.402908919363148 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4850000000000003 y[1] (analytic) = 1.403614927570439 y[1] (numeric) = 1.403614927570439 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4860000000000003 y[1] (analytic) = 1.404321006808287 y[1] (numeric) = 1.404321006808287 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4870000000000003 y[1] (analytic) = 1.405027157055261 y[1] (numeric) = 1.405027157055261 absolute error = 2.220446049250313e-16 relative error = 1.580358100624941e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4880000000000003 y[1] (analytic) = 1.405733378289948 y[1] (numeric) = 1.405733378289948 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4890000000000003 y[1] (analytic) = 1.406439670490946 y[1] (numeric) = 1.406439670490946 absolute error = 2.220446049250313e-16 relative error = 1.578770917685522e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 1.407146033636871 y[1] (numeric) = 1.407146033636871 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4910000000000003 y[1] (analytic) = 1.407852467706352 y[1] (numeric) = 1.407852467706352 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4920000000000003 y[1] (analytic) = 1.408558972678035 y[1] (numeric) = 1.408558972678035 absolute error = 2.220446049250313e-16 relative error = 1.576395516496318e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4930000000000003 y[1] (analytic) = 1.409265548530579 y[1] (numeric) = 1.40926554853058 absolute error = 2.220446049250313e-16 relative error = 1.575605145223013e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4940000000000003 y[1] (analytic) = 1.40997219524266 y[1] (numeric) = 1.409972195242661 absolute error = 2.220446049250313e-16 relative error = 1.57481548695942e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4950000000000003 y[1] (analytic) = 1.410678912792968 y[1] (numeric) = 1.410678912792968 absolute error = 2.220446049250313e-16 relative error = 1.574026540776815e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4960000000000003 y[1] (analytic) = 1.411385701160207 y[1] (numeric) = 1.411385701160207 absolute error = 2.220446049250313e-16 relative error = 1.573238305748054e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4970000000000003 y[1] (analytic) = 1.412092560323097 y[1] (numeric) = 1.412092560323097 absolute error = 4.440892098500626e-16 relative error = 3.144901561895149e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4980000000000003 y[1] (analytic) = 1.412799490260373 y[1] (numeric) = 1.412799490260373 absolute error = 4.440892098500626e-16 relative error = 3.14332793090277e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 0.4990000000000003 y[1] (analytic) = 1.413506490950784 y[1] (numeric) = 1.413506490950784 absolute error = 4.440892098500626e-16 relative error = 3.141755716674138e-14 % Correct digits = 15 h = 0.001 NO POLE Finished! diff ( y , x , 1 ) = sqrt(sqrt(0.1 * x + 0.2)); Iterations = 400 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.3 %