##############ECHO OF PROBLEM################# ##############temp/add_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) + 1.0 ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=40; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(-5.0); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=false; glob_h=c(0.001); glob_display_interval=c(0.01); // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(c(2.0) - c(cos(x)) + c(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = -3.283662185463226 y[1] (numeric) = -3.283662185463226 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.989999999999997 y[1] (closed_form) = -3.264058919545421 y[1] (numeric) = -3.264058919545427 absolute error = 6.661338147750939e-15 relative error = 2.040814308792763e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.979999999999993 y[1] (closed_form) = -3.244428247964042 y[1] (numeric) = -3.244428247964055 absolute error = 1.287858708565182e-14 relative error = 3.969447342142161e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.96999999999999 y[1] (closed_form) = -3.224771133778224 y[1] (numeric) = -3.224771133778244 absolute error = 1.998401444325282e-14 relative error = 6.197033406162701e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.959999999999987 y[1] (closed_form) = -3.205088542691335 y[1] (numeric) = -3.205088542691362 absolute error = 2.708944180085382e-14 relative error = 8.452010432793419e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.949999999999983 y[1] (closed_form) = -3.185381442954418 y[1] (numeric) = -3.185381442954451 absolute error = 3.33066907387547e-14 relative error = 1.045610748201728e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.93999999999998 y[1] (closed_form) = -3.165650805269355 y[1] (numeric) = -3.165650805269395 absolute error = 3.996802888650564e-14 relative error = 1.262553305626041e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.929999999999977 y[1] (closed_form) = -3.145897602691808 y[1] (numeric) = -3.145897602691854 absolute error = 4.574118861455645e-14 relative error = 1.453994833634054e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.919999999999973 y[1] (closed_form) = -3.126122810533905 y[1] (numeric) = -3.126122810533957 absolute error = 5.195843755245733e-14 relative error = 1.662072819960116e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.90999999999997 y[1] (closed_form) = -3.106327406266718 y[1] (numeric) = -3.106327406266777 absolute error = 5.861977570020827e-14 relative error = 1.887108731099899e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.899999999999967 y[1] (closed_form) = -3.086512369422509 y[1] (numeric) = -3.086512369422574 absolute error = 6.439293542825908e-14 relative error = 2.086268503771041e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.889999999999963 y[1] (closed_form) = -3.066678681496785 y[1] (numeric) = -3.066678681496856 absolute error = 7.149836278586008e-14 relative error = 2.331459217336821e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.87999999999996 y[1] (closed_form) = -3.046827325850142 y[1] (numeric) = -3.046827325850221 absolute error = 7.860379014346108e-14 relative error = 2.579857068911138e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.869999999999957 y[1] (closed_form) = -3.026959287609937 y[1] (numeric) = -3.026959287610023 absolute error = 8.570921750106208e-14 relative error = 2.83152858553104e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.859999999999953 y[1] (closed_form) = -3.00707555357177 y[1] (numeric) = -3.007075553571862 absolute error = 9.237055564881302e-14 relative error = 3.071773688529254e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.84999999999995 y[1] (closed_form) = -2.987177112100808 y[1] (numeric) = -2.987177112100907 absolute error = 9.903189379656396e-14 relative error = 3.315233415367102e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.839999999999947 y[1] (closed_form) = -2.96726495303295 y[1] (numeric) = -2.967264953033056 absolute error = 1.06581410364015e-13 relative error = 3.591907431625689e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.829999999999943 y[1] (closed_form) = -2.947340067575842 y[1] (numeric) = -2.947340067575955 absolute error = 1.127986593019159e-13 relative error = 3.82713418593368e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.81999999999994 y[1] (closed_form) = -2.92740344820976 y[1] (numeric) = -2.927403448209879 absolute error = 1.194599974496668e-13 relative error = 4.080749359051348e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.809999999999937 y[1] (closed_form) = -2.90745608858836 y[1] (numeric) = -2.907456088588485 absolute error = 1.256772463875677e-13 relative error = 4.322584505432275e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.799999999999933 y[1] (closed_form) = -2.887498983439313 y[1] (numeric) = -2.887498983439445 absolute error = 1.323385845353187e-13 relative error = 4.583156056307579e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.78999999999993 y[1] (closed_form) = -2.867533128464839 y[1] (numeric) = -2.867533128464978 absolute error = 1.389999226830696e-13 relative error = 4.847369374856518e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.779999999999927 y[1] (closed_form) = -2.847559520242128 y[1] (numeric) = -2.847559520242274 absolute error = 1.456612608308205e-13 relative error = 5.115301709951087e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.769999999999923 y[1] (closed_form) = -2.827579156123693 y[1] (numeric) = -2.827579156123845 absolute error = 1.527666881884215e-13 relative error = 5.402737810454377e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.75999999999992 y[1] (closed_form) = -2.807593034137628 y[1] (numeric) = -2.807593034137787 absolute error = 1.594280263361725e-13 relative error = 5.678459249530869e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.749999999999917 y[1] (closed_form) = -2.78760215288781 y[1] (numeric) = -2.787602152887975 absolute error = 1.656452752740734e-13 relative error = 5.942213636995277e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.739999999999913 y[1] (closed_form) = -2.767607511454038 y[1] (numeric) = -2.76760751145421 absolute error = 1.727507026316744e-13 relative error = 6.241878659337613e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.72999999999991 y[1] (closed_form) = -2.747610109292126 y[1] (numeric) = -2.747610109292306 absolute error = 1.798561299892754e-13 relative error = 6.545911640848204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.719999999999906 y[1] (closed_form) = -2.727610946133961 y[1] (numeric) = -2.727610946134147 absolute error = 1.860733789271762e-13 relative error = 6.8218445592804e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.709999999999903 y[1] (closed_form) = -2.707611021887525 y[1] (numeric) = -2.707611021887717 absolute error = 1.918465386552271e-13 relative error = 7.085454192068082e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.6999999999999 y[1] (closed_form) = -2.687611336536909 y[1] (numeric) = -2.687611336537107 absolute error = 1.98507876802978e-13 relative error = 7.386033616704529e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.689999999999896 y[1] (closed_form) = -2.667612890042315 y[1] (numeric) = -2.667612890042521 absolute error = 2.05613304160579e-13 relative error = 7.707763931119609e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.679999999999893 y[1] (closed_form) = -2.647616682240062 y[1] (numeric) = -2.647616682240274 absolute error = 2.122746423083299e-13 relative error = 8.017574588204034e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.66999999999989 y[1] (closed_form) = -2.627623712742598 y[1] (numeric) = -2.627623712742817 absolute error = 2.189359804560809e-13 relative error = 8.332090298711954e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.659999999999886 y[1] (closed_form) = -2.607634980838547 y[1] (numeric) = -2.607634980838772 absolute error = 2.255973186038318e-13 relative error = 8.651414797759985e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.649999999999883 y[1] (closed_form) = -2.587651485392775 y[1] (numeric) = -2.587651485393007 absolute error = 2.322586567515827e-13 relative error = 8.975654490671438e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.63999999999988 y[1] (closed_form) = -2.567674224746506 y[1] (numeric) = -2.567674224746745 absolute error = 2.393640841091838e-13 relative error = 9.322213924268957e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.629999999999876 y[1] (closed_form) = -2.547704196617491 y[1] (numeric) = -2.547704196617737 absolute error = 2.460254222569347e-13 relative error = 9.65674989206263e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.619999999999873 y[1] (closed_form) = -2.527742398000235 y[1] (numeric) = -2.527742398000488 absolute error = 2.531308496145357e-13 relative error = 1.001410783847256e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.60999999999987 y[1] (closed_form) = -2.507789825066298 y[1] (numeric) = -2.507789825066557 absolute error = 2.593480985524366e-13 relative error = 1.034169992876418e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.599999999999866 y[1] (closed_form) = -2.487847473064679 y[1] (numeric) = -2.487847473064945 absolute error = 2.655653474903374e-13 relative error = 1.067450277259957e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.589999999999863 y[1] (closed_form) = -2.467916336222294 y[1] (numeric) = -2.467916336222566 absolute error = 2.722266856380884e-13 relative error = 1.103062861745115e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.57999999999986 y[1] (closed_form) = -2.447997407644551 y[1] (numeric) = -2.447997407644829 absolute error = 2.788880237858393e-13 relative error = 1.139249669607223e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.569999999999856 y[1] (closed_form) = -2.428091679216041 y[1] (numeric) = -2.428091679216327 absolute error = 2.864375403532904e-13 relative error = 1.179681734446587e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.559999999999853 y[1] (closed_form) = -2.408200141501353 y[1] (numeric) = -2.408200141501645 absolute error = 2.926547892911913e-13 relative error = 1.215242804149743e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.54999999999985 y[1] (closed_form) = -2.388323783646015 y[1] (numeric) = -2.388323783646314 absolute error = 2.993161274389422e-13 relative error = 1.253247694004061e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.539999999999846 y[1] (closed_form) = -2.368463593277583 y[1] (numeric) = -2.368463593277889 absolute error = 3.055333763768431e-13 relative error = 1.290006640777757e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.529999999999843 y[1] (closed_form) = -2.348620556406877 y[1] (numeric) = -2.348620556407189 absolute error = 3.12194714524594e-13 relative error = 1.329268423853943e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.51999999999984 y[1] (closed_form) = -2.328795657329381 y[1] (numeric) = -2.3287956573297 absolute error = 3.19300141882195e-13 relative error = 1.37109557413192e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.509999999999836 y[1] (closed_form) = -2.308989878526816 y[1] (numeric) = -2.308989878527142 absolute error = 3.25961480029946e-13 relative error = 1.411705971781549e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.499999999999833 y[1] (closed_form) = -2.28920420056889 y[1] (numeric) = -2.289204200569222 absolute error = 3.321787289678468e-13 relative error = 1.451066396284338e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.48999999999983 y[1] (closed_form) = -2.269439602015245 y[1] (numeric) = -2.269439602015584 absolute error = 3.392841563254478e-13 relative error = 1.495012936339729e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.479999999999826 y[1] (closed_form) = -2.249697059317598 y[1] (numeric) = -2.249697059317945 absolute error = 3.463895836830488e-13 relative error = 1.539716568719343e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.469999999999823 y[1] (closed_form) = -2.229977546722102 y[1] (numeric) = -2.229977546722455 absolute error = 3.530509218307998e-13 relative error = 1.583203931132661e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.45999999999982 y[1] (closed_form) = -2.210282036171915 y[1] (numeric) = -2.210282036172274 absolute error = 3.592681707687007e-13 relative error = 1.625440395791901e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.449999999999816 y[1] (closed_form) = -2.190611497210013 y[1] (numeric) = -2.190611497210379 absolute error = 3.659295089164516e-13 relative error = 1.670444573958018e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.439999999999813 y[1] (closed_form) = -2.170966896882233 y[1] (numeric) = -2.170966896882606 absolute error = 3.725908470642025e-13 relative error = 1.716243797172989e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.42999999999981 y[1] (closed_form) = -2.151349199640573 y[1] (numeric) = -2.151349199640951 absolute error = 3.783640067922533e-13 relative error = 1.758728926273182e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.419999999999806 y[1] (closed_form) = -2.131759367246739 y[1] (numeric) = -2.131759367247124 absolute error = 3.850253449400043e-13 relative error = 1.806138867527442e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.409999999999803 y[1] (closed_form) = -2.112198358675982 y[1] (numeric) = -2.112198358676373 absolute error = 3.916866830877552e-13 relative error = 1.854402932749562e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.3999999999998 y[1] (closed_form) = -2.092667130021189 y[1] (numeric) = -2.092667130021587 absolute error = 3.979039320256561e-13 relative error = 1.901420088830024e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.389999999999796 y[1] (closed_form) = -2.073166634397285 y[1] (numeric) = -2.07316663439769 absolute error = 4.050093593832571e-13 relative error = 1.95357841797894e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.379999999999793 y[1] (closed_form) = -2.053697821845914 y[1] (numeric) = -2.053697821846325 absolute error = 4.11226608321158e-13 relative error = 2.002371546323877e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.36999999999979 y[1] (closed_form) = -2.03426163924044 y[1] (numeric) = -2.034261639240857 absolute error = 4.165556788393587e-13 relative error = 2.047699621347103e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.359999999999786 y[1] (closed_form) = -2.014859030191262 y[1] (numeric) = -2.014859030191686 absolute error = 4.232170169871097e-13 relative error = 2.100479540481477e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.349999999999783 y[1] (closed_form) = -1.995490934951448 y[1] (numeric) = -1.995490934951878 absolute error = 4.292122213200855e-13 relative error = 2.150910404063191e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.33999999999978 y[1] (closed_form) = -1.976158290322716 y[1] (numeric) = -1.976158290323152 absolute error = 4.356515148629114e-13 relative error = 2.204537546391425e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.329999999999776 y[1] (closed_form) = -1.956862029561751 y[1] (numeric) = -1.956862029562193 absolute error = 4.420908084057373e-13 relative error = 2.259182311921836e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.319999999999773 y[1] (closed_form) = -1.937603082286882 y[1] (numeric) = -1.937603082287331 absolute error = 4.487521465534883e-13 relative error = 2.316016890434766e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.30999999999977 y[1] (closed_form) = -1.918382374385122 y[1] (numeric) = -1.918382374385577 absolute error = 4.549693954913892e-13 relative error = 2.371630398435116e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.299999999999766 y[1] (closed_form) = -1.899200827919577 y[1] (numeric) = -1.899200827920038 absolute error = 4.6118664442929e-13 relative error = 2.428319520766444e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.289999999999763 y[1] (closed_form) = -1.880059361037241 y[1] (numeric) = -1.880059361037709 absolute error = 4.67847982577041e-13 relative error = 2.488474525181621e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.27999999999976 y[1] (closed_form) = -1.860958887877185 y[1] (numeric) = -1.86095888787766 absolute error = 4.747313653297169e-13 relative error = 2.551004046474384e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.269999999999756 y[1] (closed_form) = -1.841900318479142 y[1] (numeric) = -1.841900318479623 absolute error = 4.807265696626928e-13 relative error = 2.609948892672047e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.259999999999753 y[1] (closed_form) = -1.822884558692503 y[1] (numeric) = -1.82288455869299 absolute error = 4.871658632055187e-13 relative error = 2.672499807420319e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.24999999999975 y[1] (closed_form) = -1.803912510085733 y[1] (numeric) = -1.803912510086226 absolute error = 4.936051567483446e-13 relative error = 2.736303196460928e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.239999999999746 y[1] (closed_form) = -1.784985069856215 y[1] (numeric) = -1.784985069856715 absolute error = 5.000444502911705e-13 relative error = 2.801392900902248e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.229999999999743 y[1] (closed_form) = -1.766103130740535 y[1] (numeric) = -1.766103130741041 absolute error = 5.060396546241464e-13 relative error = 2.865289380988537e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.21999999999974 y[1] (closed_form) = -1.7472675809252 y[1] (numeric) = -1.747267580925713 absolute error = 5.124789481669723e-13 relative error = 2.933030714709468e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.209999999999736 y[1] (closed_form) = -1.728479303957831 y[1] (numeric) = -1.72847930395835 absolute error = 5.184741524999481e-13 relative error = 2.999597110088378e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.199999999999733 y[1] (closed_form) = -1.709739178658801 y[1] (numeric) = -1.709739178659326 absolute error = 5.25135490647699e-13 relative error = 3.071436258831244e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.189999999999729 y[1] (closed_form) = -1.691048079033354 y[1] (numeric) = -1.691048079033886 absolute error = 5.3179682879545e-13 relative error = 3.144776516936398e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.179999999999726 y[1] (closed_form) = -1.672406874184213 y[1] (numeric) = -1.672406874184751 absolute error = 5.380140777333509e-13 relative error = 3.217004701656646e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.169999999999723 y[1] (closed_form) = -1.653816428224661 y[1] (numeric) = -1.653816428225205 absolute error = 5.444533712761768e-13 relative error = 3.292102811317679e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.159999999999719 y[1] (closed_form) = -1.635277600192134 y[1] (numeric) = -1.635277600192685 absolute error = 5.508926648190027e-13 relative error = 3.368802121146137e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.149999999999716 y[1] (closed_form) = -1.616791243962322 y[1] (numeric) = -1.616791243962878 absolute error = 5.566658245470535e-13 relative error = 3.443028446782127e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.139999999999713 y[1] (closed_form) = -1.598358208163773 y[1] (numeric) = -1.598358208164336 absolute error = 5.631051180898794e-13 relative error = 3.523022031067655e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.129999999999709 y[1] (closed_form) = -1.579979336093042 y[1] (numeric) = -1.579979336093611 absolute error = 5.691003224228552e-13 relative error = 3.601947882623081e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.119999999999706 y[1] (closed_form) = -1.561655465630352 y[1] (numeric) = -1.561655465630927 absolute error = 5.753175713607561e-13 relative error = 3.684023678862693e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.109999999999703 y[1] (closed_form) = -1.543387429155814 y[1] (numeric) = -1.543387429156396 absolute error = 5.81534820298657e-13 relative error = 3.76791212182374e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.099999999999699 y[1] (closed_form) = -1.525176053466184 y[1] (numeric) = -1.525176053466772 absolute error = 5.877520692365579e-13 relative error = 3.853667043229572e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.089999999999696 y[1] (closed_form) = -1.50702215969219 y[1] (numeric) = -1.507022159692784 absolute error = 5.935252289646087e-13 relative error = 3.938397489031193e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.079999999999693 y[1] (closed_form) = -1.488926563216413 y[1] (numeric) = -1.488926563217013 absolute error = 5.997424779025096e-13 relative error = 4.028019196641452e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.069999999999689 y[1] (closed_form) = -1.470890073591756 y[1] (numeric) = -1.470890073592361 absolute error = 6.057376822354854e-13 relative error = 4.118170984432161e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.059999999999686 y[1] (closed_form) = -1.452913494460482 y[1] (numeric) = -1.452913494461094 absolute error = 6.115108419635362e-13 relative error = 4.20885926309475e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.049999999999683 y[1] (closed_form) = -1.434997623473858 y[1] (numeric) = -1.434997623474476 absolute error = 6.17284001691587e-13 relative error = 4.301637797819198e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.039999999999679 y[1] (closed_form) = -1.417143252212387 y[1] (numeric) = -1.41714325221301 absolute error = 6.230571614196379e-13 relative error = 4.396571485959136e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.029999999999676 y[1] (closed_form) = -1.399351166106649 y[1] (numeric) = -1.399351166107278 absolute error = 6.292744103575387e-13 relative error = 4.496901318261235e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.019999999999673 y[1] (closed_form) = -1.381622144358762 y[1] (numeric) = -1.381622144359397 absolute error = 6.352696146905146e-13 relative error = 4.597998210178919e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -4.009999999999669 y[1] (closed_form) = -1.363956959864459 y[1] (numeric) = -1.3639569598651 absolute error = 6.412648190234904e-13 relative error = 4.701503331067098e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.999999999999666 y[1] (closed_form) = -1.346356379135802 y[1] (numeric) = -1.346356379136449 absolute error = 6.461498003318411e-13 relative error = 4.799247883733362e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.989999999999668 y[1] (closed_form) = -1.328821162224538 y[1] (numeric) = -1.328821162225183 absolute error = 6.443734434924409e-13 relative error = 4.849211179130495e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.979999999999669 y[1] (closed_form) = -1.311352062646071 y[1] (numeric) = -1.311352062646714 absolute error = 6.423750420481156e-13 relative error = 4.898570417100035e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.96999999999967 y[1] (closed_form) = -1.293949827304135 y[1] (numeric) = -1.293949827304775 absolute error = 6.401545959988653e-13 relative error = 4.947290710124273e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.959999999999671 y[1] (closed_form) = -1.276615196416095 y[1] (numeric) = -1.276615196416733 absolute error = 6.3815619455454e-13 relative error = 4.998814022785156e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.949999999999672 y[1] (closed_form) = -1.259348903438927 y[1] (numeric) = -1.259348903439564 absolute error = 6.368239269249898e-13 relative error = 5.05677120284937e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.939999999999673 y[1] (closed_form) = -1.242151674995875 y[1] (numeric) = -1.24215167499651 absolute error = 6.346034808757395e-13 relative error = 5.108904924012977e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.929999999999674 y[1] (closed_form) = -1.225024230803785 y[1] (numeric) = -1.225024230804418 absolute error = 6.328271240363392e-13 relative error = 5.165833524950907e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.919999999999675 y[1] (closed_form) = -1.207967283601137 y[1] (numeric) = -1.207967283601768 absolute error = 6.308287225920139e-13 relative error = 5.222233508770337e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.909999999999676 y[1] (closed_form) = -1.19098153907677 y[1] (numeric) = -1.190981539077399 absolute error = 6.288303211476887e-13 relative error = 5.279933403796904e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.899999999999678 y[1] (closed_form) = -1.174067695799315 y[1] (numeric) = -1.174067695799943 absolute error = 6.272760089132134e-13 relative error = 5.342758438525629e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.889999999999679 y[1] (closed_form) = -1.15722644514734 y[1] (numeric) = -1.157226445147965 absolute error = 6.250555628639631e-13 relative error = 5.401324567763229e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.87999999999968 y[1] (closed_form) = -1.140458471240206 y[1] (numeric) = -1.140458471240829 absolute error = 6.230571614196379e-13 relative error = 5.46321656712398e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.869999999999681 y[1] (closed_form) = -1.123764450869666 y[1] (numeric) = -1.123764450870287 absolute error = 6.210587599753126e-13 relative error = 5.526591978369523e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.859999999999682 y[1] (closed_form) = -1.107145053432177 y[1] (numeric) = -1.107145053432796 absolute error = 6.190603585309873e-13 relative error = 5.591501823648895e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.849999999999683 y[1] (closed_form) = -1.090600940861969 y[1] (numeric) = -1.090600940862586 absolute error = 6.175060462965121e-13 relative error = 5.662071461340014e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.839999999999684 y[1] (closed_form) = -1.074132767564844 y[1] (numeric) = -1.074132767565459 absolute error = 6.152856002472618e-13 relative error = 5.728208084017117e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.829999999999685 y[1] (closed_form) = -1.057741180352741 y[1] (numeric) = -1.057741180353355 absolute error = 6.137312880127865e-13 relative error = 5.802282254039841e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.819999999999686 y[1] (closed_form) = -1.041426818379057 y[1] (numeric) = -1.041426818379669 absolute error = 6.121769757783113e-13 relative error = 5.878252460707153e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.809999999999687 y[1] (closed_form) = -1.025190313074726 y[1] (numeric) = -1.025190313075336 absolute error = 6.10178574333986e-13 relative error = 5.95185661190997e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.799999999999689 y[1] (closed_form) = -1.009032288085081 y[1] (numeric) = -1.00903228808569 absolute error = 6.086242620995108e-13 relative error = 6.031762008870344e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.78999999999969 y[1] (closed_form) = -0.9929533592074904 y[1] (numeric) = -0.9929533592080974 absolute error = 6.069589275625731e-13 relative error = 6.112663016186456e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.779999999999691 y[1] (closed_form) = -0.9769541343297754 y[1] (numeric) = -0.9769541343303808 absolute error = 6.054046153280979e-13 relative error = 6.196858112928981e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.769999999999692 y[1] (closed_form) = -0.9610352133694251 y[1] (numeric) = -0.9610352133700285 absolute error = 6.034062138837726e-13 relative error = 6.278710764075003e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.759999999999693 y[1] (closed_form) = -0.9451971882136028 y[1] (numeric) = -0.9451971882142041 absolute error = 6.012967901369848e-13 relative error = 6.3616015539934e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.749999999999694 y[1] (closed_form) = -0.9294406426599582 y[1] (numeric) = -0.9294406426605583 absolute error = 6.000755448098971e-13 relative error = 6.456308421079436e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.739999999999695 y[1] (closed_form) = -0.9137661523582512 y[1] (numeric) = -0.9137661523588492 absolute error = 5.979661210631093e-13 relative error = 6.543973198393004e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.729999999999696 y[1] (closed_form) = -0.8981742847527818 y[1] (numeric) = -0.8981742847533785 absolute error = 5.966338534335591e-13 relative error = 6.642740318464804e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.719999999999697 y[1] (closed_form) = -0.882665599025652 y[1] (numeric) = -0.8826655990262465 absolute error = 5.945244296867713e-13 relative error = 6.735556821779946e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.709999999999698 y[1] (closed_form) = -0.8672406460408424 y[1] (numeric) = -0.8672406460414358 absolute error = 5.934142066621462e-13 relative error = 6.842555285793183e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.6999999999997 y[1] (closed_form) = -0.8518999682891324 y[1] (numeric) = -0.8518999682897237 absolute error = 5.913047829153584e-13 relative error = 6.94101191367425e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.689999999999701 y[1] (closed_form) = -0.8366440998338454 y[1] (numeric) = -0.836644099834435 absolute error = 5.896394483784206e-13 relative error = 7.047673538790521e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.679999999999702 y[1] (closed_form) = -0.8214735662574468 y[1] (numeric) = -0.8214735662580352 absolute error = 5.88418203051333e-13 relative error = 7.162959676622447e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.669999999999703 y[1] (closed_form) = -0.8063888846089871 y[1] (numeric) = -0.8063888846095735 absolute error = 5.864198016070077e-13 relative error = 7.272171191835797e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.659999999999704 y[1] (closed_form) = -0.7913905633523926 y[1] (numeric) = -0.7913905633529773 absolute error = 5.847544670700699e-13 relative error = 7.388949200923045e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.649999999999705 y[1] (closed_form) = -0.7764791023156237 y[1] (numeric) = -0.776479102316207 absolute error = 5.833111771380572e-13 relative error = 7.512258544994976e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.639999999999706 y[1] (closed_form) = -0.7616549926406919 y[1] (numeric) = -0.7616549926412733 absolute error = 5.814237979961945e-13 relative error = 7.633689841385693e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.629999999999707 y[1] (closed_form) = -0.7469187167345437 y[1] (numeric) = -0.7469187167351239 absolute error = 5.802025526691068e-13 relative error = 7.767947698588893e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.619999999999708 y[1] (closed_form) = -0.7322707482208242 y[1] (numeric) = -0.7322707482214023 absolute error = 5.78093128922319e-13 relative error = 7.894527131213341e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.609999999999709 y[1] (closed_form) = -0.7177115518925099 y[1] (numeric) = -0.7177115518930867 absolute error = 5.767608612927688e-13 relative error = 8.036109489556454e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.599999999999711 y[1] (closed_form) = -0.7032415836654353 y[1] (numeric) = -0.7032415836660105 absolute error = 5.752065490582936e-13 relative error = 8.179359162184386e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.589999999999712 y[1] (closed_form) = -0.6888612905326981 y[1] (numeric) = -0.6888612905332718 absolute error = 5.737632591262809e-13 relative error = 8.329155187143531e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.579999999999713 y[1] (closed_form) = -0.674571110519961 y[1] (numeric) = -0.6745711105205332 absolute error = 5.722089468918057e-13 relative error = 8.482559332414127e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.569999999999714 y[1] (closed_form) = -0.6603714726416503 y[1] (numeric) = -0.6603714726422212 absolute error = 5.708766792622555e-13 relative error = 8.644781049953697e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.559999999999715 y[1] (closed_form) = -0.6462627968580543 y[1] (numeric) = -0.6462627968586236 absolute error = 5.693223670277803e-13 relative error = 8.809455995233882e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.549999999999716 y[1] (closed_form) = -0.6322454940333273 y[1] (numeric) = -0.6322454940338951 absolute error = 5.677680547933051e-13 relative error = 8.980183491246464e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.539999999999717 y[1] (closed_form) = -0.6183199658944041 y[1] (numeric) = -0.6183199658949701 absolute error = 5.659916979539048e-13 relative error = 9.153702438432405e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.529999999999718 y[1] (closed_form) = -0.6044866049908273 y[1] (numeric) = -0.6044866049913916 absolute error = 5.643263634169671e-13 relative error = 9.335630579035418e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.519999999999719 y[1] (closed_form) = -0.5907457946554922 y[1] (numeric) = -0.5907457946560554 absolute error = 5.632161403923419e-13 relative error = 9.533984761089924e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.50999999999972 y[1] (closed_form) = -0.5770979089663162 y[1] (numeric) = -0.5770979089668776 absolute error = 5.614397835529417e-13 relative error = 9.728674715848113e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.499999999999722 y[1] (closed_form) = -0.5635433127088274 y[1] (numeric) = -0.5635433127093874 absolute error = 5.59996493620929e-13 relative error = 9.937062174141511e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.489999999999723 y[1] (closed_form) = -0.5500823613396899 y[1] (numeric) = -0.5500823613402483 absolute error = 5.584421813864537e-13 relative error = 1.015197397034153e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.479999999999724 y[1] (closed_form) = -0.5367154009511563 y[1] (numeric) = -0.5367154009517132 absolute error = 5.568878691519785e-13 relative error = 1.037585036995534e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.469999999999725 y[1] (closed_form) = -0.5234427682364595 y[1] (numeric) = -0.5234427682370151 absolute error = 5.555556015224283e-13 relative error = 1.061349272995328e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.459999999999726 y[1] (closed_form) = -0.5102647904561439 y[1] (numeric) = -0.5102647904566979 absolute error = 5.540012892879531e-13 relative error = 1.085713338740679e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.449999999999727 y[1] (closed_form) = -0.4971817854053397 y[1] (numeric) = -0.497181785405892 absolute error = 5.522249324485529e-13 relative error = 1.110710304880413e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.439999999999728 y[1] (closed_form) = -0.4841940613819817 y[1] (numeric) = -0.484194061382533 absolute error = 5.512257317263902e-13 relative error = 1.13843967882028e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.429999999999729 y[1] (closed_form) = -0.4713019171559836 y[1] (numeric) = -0.4713019171565333 absolute error = 5.497269306431463e-13 relative error = 1.166400794548873e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.41999999999973 y[1] (closed_form) = -0.4585056419393574 y[1] (numeric) = -0.4585056419399057 absolute error = 5.483391518623648e-13 relative error = 1.1959267274074e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.409999999999731 y[1] (closed_form) = -0.4458055153572946 y[1] (numeric) = -0.4458055153578415 absolute error = 5.468958619303521e-13 relative error = 1.226758851316673e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.399999999999733 y[1] (closed_form) = -0.4332018074202031 y[1] (numeric) = -0.4332018074207488 absolute error = 5.457301277544957e-13 relative error = 1.25975958180881e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.389999999999734 y[1] (closed_form) = -0.4206947784967072 y[1] (numeric) = -0.4206947784972516 absolute error = 5.443978601249455e-13 relative error = 1.294044727795942e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.379999999999735 y[1] (closed_form) = -0.4082846792876098 y[1] (numeric) = -0.4082846792881529 absolute error = 5.431211036466266e-13 relative error = 1.330251001811492e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.369999999999736 y[1] (closed_form) = -0.395971750800824 y[1] (numeric) = -0.3959717508013654 absolute error = 5.414002579584576e-13 relative error = 1.367269904642225e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.359999999999737 y[1] (closed_form) = -0.3837562243272701 y[1] (numeric) = -0.3837562243278103 absolute error = 5.402345237826012e-13 relative error = 1.407754427252977e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.349999999999738 y[1] (closed_form) = -0.3716383214177497 y[1] (numeric) = -0.3716383214182886 absolute error = 5.38902256153051e-13 relative error = 1.450071817398196e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.339999999999739 y[1] (closed_form) = -0.359618253860789 y[1] (numeric) = -0.3596182538613265 absolute error = 5.37403455069807e-13 relative error = 1.49437201615978e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.32999999999974 y[1] (closed_form) = -0.34769622366146 y[1] (numeric) = -0.347696223661996 absolute error = 5.360156762890256e-13 relative error = 1.541620644148628e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.319999999999741 y[1] (closed_form) = -0.3358724230211809 y[1] (numeric) = -0.3358724230217157 absolute error = 5.347944309619379e-13 relative error = 1.592254660717449e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.309999999999742 y[1] (closed_form) = -0.324147034318496 y[1] (numeric) = -0.3241470343190296 absolute error = 5.336286967860815e-13 relative error = 1.646255064181016e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.299999999999744 y[1] (closed_form) = -0.3125202300908385 y[1] (numeric) = -0.3125202300913703 absolute error = 5.3179682879545e-13 relative error = 1.701639694303551e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.289999999999745 y[1] (closed_form) = -0.3009921730172738 y[1] (numeric) = -0.3009921730178048 absolute error = 5.310196726782124e-13 relative error = 1.76423083482552e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.279999999999746 y[1] (closed_form) = -0.2895630159022375 y[1] (numeric) = -0.2895630159027671 absolute error = 5.295208715949684e-13 relative error = 1.828689585736825e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.269999999999747 y[1] (closed_form) = -0.2782329016602496 y[1] (numeric) = -0.2782329016607777 absolute error = 5.28133092814187e-13 relative error = 1.898169086627615e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.259999999999748 y[1] (closed_form) = -0.2670019633016256 y[1] (numeric) = -0.2670019633021525 absolute error = 5.26856336335868e-13 relative error = 1.973230195842011e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.249999999999749 y[1] (closed_form) = -0.2558703239191757 y[1] (numeric) = -0.2558703239197014 absolute error = 5.256906021600116e-13 relative error = 2.054519625832289e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.23999999999975 y[1] (closed_form) = -0.2448380966758954 y[1] (numeric) = -0.2448380966764198 absolute error = 5.244416012573083e-13 relative error = 2.141993457625748e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.229999999999751 y[1] (closed_form) = -0.2339053847936485 y[1] (numeric) = -0.2339053847941717 absolute error = 5.23192600354605e-13 relative error = 2.236770225773835e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.219999999999752 y[1] (closed_form) = -0.2230722815428461 y[1] (numeric) = -0.2230722815433682 absolute error = 5.220823773299799e-13 relative error = 2.340417974474799e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.209999999999753 y[1] (closed_form) = -0.2123388702331188 y[1] (numeric) = -0.21233887023364 absolute error = 5.211386877590485e-13 relative error = 2.454278329666679e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.199999999999755 y[1] (closed_form) = -0.201705224204987 y[1] (numeric) = -0.2017052242055069 absolute error = 5.198341757051139e-13 relative error = 2.577197381743677e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.189999999999756 y[1] (closed_form) = -0.1911714068225252 y[1] (numeric) = -0.1911714068230438 absolute error = 5.185851748024106e-13 relative error = 2.712671227469919e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.179999999999757 y[1] (closed_form) = -0.1807374714670265 y[1] (numeric) = -0.180737471467544 absolute error = 5.175027073534011e-13 relative error = 2.863283983962416e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.169999999999758 y[1] (closed_form) = -0.1704034615316652 y[1] (numeric) = -0.1704034615321814 absolute error = 5.162259508750822e-13 relative error = 3.02943347649751e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.159999999999759 y[1] (closed_form) = -0.1601694104171565 y[1] (numeric) = -0.1601694104176713 absolute error = 5.148104165186851e-13 relative error = 3.214161900064916e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.14999999999976 y[1] (closed_form) = -0.1500353415284161 y[1] (numeric) = -0.1500353415289301 absolute error = 5.139499936746006e-13 relative error = 3.425526202286549e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.139999999999761 y[1] (closed_form) = -0.140001268272222 y[1] (numeric) = -0.1400012682727349 absolute error = 5.128675262255911e-13 relative error = 3.663306286828476e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.129999999999762 y[1] (closed_form) = -0.1300671940558713 y[1] (numeric) = -0.130067194056383 absolute error = 5.11674036474119e-13 relative error = 3.933920772168928e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.119999999999763 y[1] (closed_form) = -0.1202331122868401 y[1] (numeric) = -0.1202331122873508 absolute error = 5.107442246909955e-13 relative error = 4.247949794999178e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.109999999999765 y[1] (closed_form) = -0.1104990063734443 y[1] (numeric) = -0.1104990063739537 absolute error = 5.09356445910214e-13 relative error = 4.609602046454465e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.099999999999766 y[1] (closed_form) = -0.1008648497264959 y[1] (numeric) = -0.1008648497270044 absolute error = 5.08537656429553e-13 relative error = 5.041772805972531e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.089999999999767 y[1] (closed_form) = -0.09133060576196517 y[1] (numeric) = -0.09133060576247266 absolute error = 5.074968223439669e-13 relative error = 5.556700496070891e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.079999999999768 y[1] (closed_form) = -0.08189622790463646 y[1] (numeric) = -0.08189622790514293 absolute error = 5.064698660461886e-13 relative error = 6.184288080226897e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.069999999999769 y[1] (closed_form) = -0.07256165959276695 y[1] (numeric) = -0.07256165959327233 absolute error = 5.053873985971791e-13 relative error = 6.964937150466675e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.05999999999977 y[1] (closed_form) = -0.06332683428374208 y[1] (numeric) = -0.06332683428424658 absolute error = 5.044992201774789e-13 relative error = 7.966594665336037e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.049999999999771 y[1] (closed_form) = -0.05419167546073078 y[1] (numeric) = -0.05419167546123423 absolute error = 5.03444508304085e-13 relative error = 9.290070920005026e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.039999999999772 y[1] (closed_form) = -0.04515609664033571 y[1] (numeric) = -0.04515609664083825 absolute error = 5.025424520965771e-13 relative error = 1.112900559362522e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.029999999999773 y[1] (closed_form) = -0.03622000138124282 y[1] (numeric) = -0.03622000138174438 absolute error = 5.015640680561262e-13 relative error = 1.384770979925667e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.019999999999774 y[1] (closed_form) = -0.02738328329386475 y[1] (numeric) = -0.02738328329436513 absolute error = 5.0038098664551e-13 relative error = 1.827322827856881e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -3.009999999999776 y[1] (closed_form) = -0.01864582605097898 y[1] (numeric) = -0.01864582605147861 absolute error = 4.9963505555084e-13 relative error = 2.679608048390043e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.999999999999777 y[1] (closed_form) = -0.01000750339936252 y[1] (numeric) = -0.01000750339986123 absolute error = 4.987156521085723e-13 relative error = 4.983417264093467e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.989999999999778 y[1] (closed_form) = -0.001468179172415152 y[1] (numeric) = -0.00146817917291289 absolute error = 4.977381354298593e-13 relative error = 3.390172976034534e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.979999999999779 y[1] (closed_form) = 0.006972292696223015 y[1] (numeric) = 0.006972292695726499 absolute error = 4.965160227410337e-13 relative error = 7.121273365502902e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.96999999999978 y[1] (closed_form) = 0.01531406815806635 y[1] (numeric) = 0.01531406815757047 absolute error = 4.958828486723021e-13 relative error = 3.238086990040636e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.959999999999781 y[1] (closed_form) = 0.02355731303418596 y[1] (numeric) = 0.02355731303369098 absolute error = 4.949721188474143e-13 relative error = 2.101139965025381e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.949999999999782 y[1] (closed_form) = 0.03170220299863047 y[1] (numeric) = 0.03170220299813648 absolute error = 4.939937348069634e-13 relative error = 1.558231567781911e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.939999999999783 y[1] (closed_form) = 0.03974892356085791 y[1] (numeric) = 0.03974892356036457 absolute error = 4.933345398860922e-13 relative error = 1.241126792102353e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.929999999999784 y[1] (closed_form) = 0.04769767004718339 y[1] (numeric) = 0.04769767004669134 absolute error = 4.920508445138694e-13 relative error = 1.031603522828524e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.919999999999785 y[1] (closed_form) = 0.05554864758125033 y[1] (numeric) = 0.05554864758075876 absolute error = 4.915720608344998e-13 relative error = 8.849397460405914e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.909999999999787 y[1] (closed_form) = 0.06330207106351304 y[1] (numeric) = 0.06330207106302257 absolute error = 4.904687767037785e-13 relative error = 7.748068403823235e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.899999999999788 y[1] (closed_form) = 0.07095816514975217 y[1] (numeric) = 0.07095816514926245 absolute error = 4.897193761621565e-13 relative error = 6.901522539775917e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.889999999999789 y[1] (closed_form) = 0.07851716422860511 y[1] (numeric) = 0.07851716422811647 absolute error = 4.88636908713147e-13 relative error = 6.223313252761725e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.87999999999979 y[1] (closed_form) = 0.0859793123981305 y[1] (numeric) = 0.0859793123976426 absolute error = 4.879013859593329e-13 relative error = 5.674636983604693e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.869999999999791 y[1] (closed_form) = 0.09334486344139625 y[1] (numeric) = 0.09334486344090903 absolute error = 4.872213743567499e-13 relative error = 5.219584199859451e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.859999999999792 y[1] (closed_form) = 0.1006140808011025 y[1] (numeric) = 0.1006140808006161 absolute error = 4.863887070882811e-13 relative error = 4.834201169613544e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.849999999999793 y[1] (closed_form) = 0.1077872375532376 y[1] (numeric) = 0.1077872375527521 absolute error = 4.855144064563888e-13 relative error = 4.504377489186385e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.839999999999794 y[1] (closed_form) = 0.1148646163797711 y[1] (numeric) = 0.1148646163792862 absolute error = 4.848760282172293e-13 relative error = 4.22128278924563e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.829999999999795 y[1] (closed_form) = 0.1218465095403842 y[1] (numeric) = 0.1218465095399003 absolute error = 4.839739720097214e-13 relative error = 3.971997013581381e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.819999999999796 y[1] (closed_form) = 0.1287332188432462 y[1] (numeric) = 0.128733218842763 absolute error = 4.831413047412525e-13 relative error = 3.753042991409671e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.809999999999798 y[1] (closed_form) = 0.1355250556148326 y[1] (numeric) = 0.13552505561435 absolute error = 4.826694599557868e-13 relative error = 3.561477674855576e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.799999999999799 y[1] (closed_form) = 0.1422223406687921 y[1] (numeric) = 0.1422223406683103 absolute error = 4.818645482629336e-13 relative error = 3.38810728326502e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.7899999999998 y[1] (closed_form) = 0.1488254042738677 y[1] (numeric) = 0.1488254042733864 absolute error = 4.812539255993897e-13 relative error = 3.233681292165609e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.779999999999801 y[1] (closed_form) = 0.1553345861208677 y[1] (numeric) = 0.1553345861203872 absolute error = 4.805322806333834e-13 relative error = 3.093530504915856e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.769999999999802 y[1] (closed_form) = 0.1617502352886984 y[1] (numeric) = 0.1617502352882187 absolute error = 4.796441022136833e-13 relative error = 2.965337894919256e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.759999999999803 y[1] (closed_form) = 0.1680727102094561 y[1] (numeric) = 0.1680727102089774 absolute error = 4.787559237939831e-13 relative error = 2.848504811978972e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.749999999999804 y[1] (closed_form) = 0.1743023786325848 y[1] (numeric) = 0.1743023786321065 absolute error = 4.783118345841331e-13 relative error = 2.744149783476997e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.739999999999805 y[1] (closed_form) = 0.1804396175880991 y[1] (numeric) = 0.1804396175876218 absolute error = 4.773681450132017e-13 relative error = 2.645583887807389e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.729999999999806 y[1] (closed_form) = 0.1864848133488857 y[1] (numeric) = 0.1864848133484087 absolute error = 4.769795669545829e-13 relative error = 2.557739466227871e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.719999999999807 y[1] (closed_form) = 0.1924383613920715 y[1] (numeric) = 0.1924383613915955 absolute error = 4.759526106568046e-13 relative error = 2.473273037734429e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.709999999999809 y[1] (closed_form) = 0.1983006663594815 y[1] (numeric) = 0.198300666359006 absolute error = 4.754807658713389e-13 relative error = 2.397776944477748e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.69999999999981 y[1] (closed_form) = 0.2040721420171701 y[1] (numeric) = 0.2040721420166953 absolute error = 4.747591209053326e-13 relative error = 2.326427880907859e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.689999999999811 y[1] (closed_form) = 0.2097532112140481 y[1] (numeric) = 0.2097532112135738 absolute error = 4.742595205442512e-13 relative error = 2.261035803929985e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.679999999999812 y[1] (closed_form) = 0.2153443058395963 y[1] (numeric) = 0.2153443058391228 absolute error = 4.734823644270136e-13 relative error = 2.198722471815423e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.669999999999813 y[1] (closed_form) = 0.2208458667806785 y[1] (numeric) = 0.2208458667802056 absolute error = 4.729550084903167e-13 relative error = 2.141561512491457e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.659999999999814 y[1] (closed_form) = 0.2262583438774519 y[1] (numeric) = 0.2262583438769794 absolute error = 4.725109192804666e-13 relative error = 2.088369035072546e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.649999999999815 y[1] (closed_form) = 0.2315821958783837 y[1] (numeric) = 0.2315821958779117 absolute error = 4.720113189193853e-13 relative error = 2.038202104134395e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.639999999999816 y[1] (closed_form) = 0.2368178903943767 y[1] (numeric) = 0.2368178903939056 absolute error = 4.711786516509164e-13 relative error = 1.989624393943612e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.629999999999817 y[1] (closed_form) = 0.2419659038520097 y[1] (numeric) = 0.2419659038515391 absolute error = 4.70540273411757e-13 relative error = 1.944655283744222e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.619999999999818 y[1] (closed_form) = 0.2470267214458937 y[1] (numeric) = 0.2470267214454234 absolute error = 4.702904732312163e-13 relative error = 1.903804051960525e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.60999999999982 y[1] (closed_form) = 0.2520008370901525 y[1] (numeric) = 0.2520008370896829 absolute error = 4.696243394164412e-13 relative error = 1.863582458055227e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.599999999999821 y[1] (closed_form) = 0.2568887533690343 y[1] (numeric) = 0.2568887533685651 absolute error = 4.691802502065912e-13 relative error = 1.826394671052761e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.589999999999822 y[1] (closed_form) = 0.2616909814866504 y[1] (numeric) = 0.261690981486182 absolute error = 4.683475829381223e-13 relative error = 1.789697070481636e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.579999999999823 y[1] (closed_form) = 0.2664080412158585 y[1] (numeric) = 0.2664080412153904 absolute error = 4.681255383331973e-13 relative error = 1.757174956869624e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.569999999999824 y[1] (closed_form) = 0.2710404608462822 y[1] (numeric) = 0.2710404608458148 absolute error = 4.673483822159596e-13 relative error = 1.7242753379209e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.559999999999825 y[1] (closed_form) = 0.2755887771314867 y[1] (numeric) = 0.2755887771310194 absolute error = 4.672373599134971e-13 relative error = 1.695415048380481e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.549999999999826 y[1] (closed_form) = 0.2800535352352989 y[1] (numeric) = 0.2800535352348326 absolute error = 4.662936703425657e-13 relative error = 1.665016190389417e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.539999999999827 y[1] (closed_form) = 0.2844352886772974 y[1] (numeric) = 0.2844352886768312 absolute error = 4.662381591913345e-13 relative error = 1.639171290452287e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.529999999999828 y[1] (closed_form) = 0.2887345992774546 y[1] (numeric) = 0.2887345992769892 absolute error = 4.653499807716344e-13 relative error = 1.611687625716322e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.519999999999829 y[1] (closed_form) = 0.2929520370999614 y[1] (numeric) = 0.2929520370994961 absolute error = 4.652944696204031e-13 relative error = 1.588295729999088e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.509999999999831 y[1] (closed_form) = 0.2970881803962153 y[1] (numeric) = 0.2970881803957509 absolute error = 4.64406291200703e-13 relative error = 1.563193428231786e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.499999999999832 y[1] (closed_form) = 0.3011436155470011 y[1] (numeric) = 0.3011436155465373 absolute error = 4.637956685371591e-13 relative error = 1.540114565253906e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.489999999999833 y[1] (closed_form) = 0.3051189370038498 y[1] (numeric) = 0.3051189370033864 absolute error = 4.634070904785403e-13 relative error = 1.518775252132886e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.479999999999834 y[1] (closed_form) = 0.3090147472295954 y[1] (numeric) = 0.3090147472291321 absolute error = 4.633515793273091e-13 relative error = 1.499448112044448e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.469999999999835 y[1] (closed_form) = 0.3128316566381275 y[1] (numeric) = 0.3128316566376648 absolute error = 4.627409566637652e-13 relative error = 1.479201183271063e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.459999999999836 y[1] (closed_form) = 0.3165702835333537 y[1] (numeric) = 0.3165702835328913 absolute error = 4.624078897563777e-13 relative error = 1.46068002528626e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.449999999999837 y[1] (closed_form) = 0.3202312540473664 y[1] (numeric) = 0.3202312540469043 absolute error = 4.621303340002214e-13 relative error = 1.44311439985763e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.439999999999838 y[1] (closed_form) = 0.3238152020778315 y[1] (numeric) = 0.3238152020773699 absolute error = 4.616862447903713e-13 relative error = 1.425770753898705e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.429999999999839 y[1] (closed_form) = 0.3273227692245992 y[1] (numeric) = 0.3273227692241382 absolute error = 4.610201109755963e-13 relative error = 1.408457199808357e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.419999999999841 y[1] (closed_form) = 0.330754604725545 y[1] (numeric) = 0.3307546047250843 absolute error = 4.606870440682087e-13 relative error = 1.392836373209315e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.409999999999842 y[1] (closed_form) = 0.334111365391645 y[1] (numeric) = 0.3341113653911846 absolute error = 4.604094883120524e-13 relative error = 1.378012052275926e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.399999999999843 y[1] (closed_form) = 0.3373937155412965 y[1] (numeric) = 0.3373937155408365 absolute error = 4.600209102534336e-13 relative error = 1.363454294089031e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.389999999999844 y[1] (closed_form) = 0.3406023269338867 y[1] (numeric) = 0.3406023269334271 absolute error = 4.596323321948148e-13 relative error = 1.349469148764896e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.379999999999845 y[1] (closed_form) = 0.3437378787026169 y[1] (numeric) = 0.3437378787021574 absolute error = 4.594102875898898e-13 relative error = 1.336513419248003e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.369999999999846 y[1] (closed_form) = 0.3468010572865894 y[1] (numeric) = 0.3468010572861305 absolute error = 4.589106872288085e-13 relative error = 1.323267843585534e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.359999999999847 y[1] (closed_form) = 0.3497925563621656 y[1] (numeric) = 0.3497925563617071 absolute error = 4.584110868677271e-13 relative error = 1.310522704185566e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.349999999999848 y[1] (closed_form) = 0.3527130767735978 y[1] (numeric) = 0.3527130767731394 absolute error = 4.583555757164959e-13 relative error = 1.299513984310564e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.339999999999849 y[1] (closed_form) = 0.3555633264629443 y[1] (numeric) = 0.3555633264624866 absolute error = 4.576894419017208e-13 relative error = 1.287223422209207e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.32999999999985 y[1] (closed_form) = 0.3583440203992794 y[1] (numeric) = 0.3583440203988218 absolute error = 4.575784195992583e-13 relative error = 1.276924947957576e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.319999999999852 y[1] (closed_form) = 0.3610558805071924 y[1] (numeric) = 0.361055880506735 absolute error = 4.573563749943332e-13 relative error = 1.266719086120029e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.309999999999853 y[1] (closed_form) = 0.3636996355945992 y[1] (numeric) = 0.3636996355941423 absolute error = 4.569122857844832e-13 relative error = 1.256290194070429e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.299999999999854 y[1] (closed_form) = 0.3662760212798615 y[1] (numeric) = 0.3662760212794046 absolute error = 4.568567746332519e-13 relative error = 1.247301892809904e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.289999999999855 y[1] (closed_form) = 0.3687857799182237 y[1] (numeric) = 0.3687857799177671 absolute error = 4.565792188770956e-13 relative error = 1.238060803153364e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.279999999999856 y[1] (closed_form) = 0.3712296605275802 y[1] (numeric) = 0.3712296605271242 absolute error = 4.56024107364783e-13 relative error = 1.228415064455506e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.269999999999857 y[1] (closed_form) = 0.373608418713574 y[1] (numeric) = 0.3736084187131181 absolute error = 4.559130850623205e-13 relative error = 1.220296605285667e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.259999999999858 y[1] (closed_form) = 0.3759228165940347 y[1] (numeric) = 0.3759228165935792 absolute error = 4.555245070037017e-13 relative error = 1.211750090433139e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.249999999999859 y[1] (closed_form) = 0.3781736227227701 y[1] (numeric) = 0.3781736227223147 absolute error = 4.554134847012392e-13 relative error = 1.20424444577165e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.23999999999986 y[1] (closed_form) = 0.38036161201271 y[1] (numeric) = 0.3803616120122544 absolute error = 4.55580018154933e-13 relative error = 1.197754988323347e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.229999999999861 y[1] (closed_form) = 0.3824875656584141 y[1] (numeric) = 0.382487565657959 absolute error = 4.550804177938517e-13 relative error = 1.18979140409565e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.219999999999863 y[1] (closed_form) = 0.3845522710579576 y[1] (numeric) = 0.3845522710575025 absolute error = 4.551359289450829e-13 relative error = 1.183547629800598e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.209999999999864 y[1] (closed_form) = 0.3865565217341866 y[1] (numeric) = 0.3865565217337321 absolute error = 4.545808174327703e-13 relative error = 1.175975030490781e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.199999999999865 y[1] (closed_form) = 0.3885011172553718 y[1] (numeric) = 0.3885011172549171 absolute error = 4.547473508864641e-13 relative error = 1.170517485507119e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.189999999999866 y[1] (closed_form) = 0.3903868631552467 y[1] (numeric) = 0.3903868631547925 absolute error = 4.541922393741515e-13 relative error = 1.163441401954991e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.179999999999867 y[1] (closed_form) = 0.3922145708524605 y[1] (numeric) = 0.3922145708520065 absolute error = 4.539701947692265e-13 relative error = 1.15745367078674e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.169999999999868 y[1] (closed_form) = 0.393985057569433 y[1] (numeric) = 0.3939850575689792 absolute error = 4.538036613155327e-13 relative error = 1.151829625506946e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.159999999999869 y[1] (closed_form) = 0.3956991462506347 y[1] (numeric) = 0.3956991462501809 absolute error = 4.538036613155327e-13 relative error = 1.146840132498276e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.14999999999987 y[1] (closed_form) = 0.3973576654802922 y[1] (numeric) = 0.3973576654798387 absolute error = 4.534705944081452e-13 relative error = 1.141215166593121e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.139999999999871 y[1] (closed_form) = 0.3989614493995317 y[1] (numeric) = 0.3989614493990783 absolute error = 4.533595721056827e-13 relative error = 1.136349320938212e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.129999999999872 y[1] (closed_form) = 0.4005113376229645 y[1] (numeric) = 0.400511337622511 absolute error = 4.535261055593764e-13 relative error = 1.132367708367645e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.119999999999874 y[1] (closed_form) = 0.4020081751547258 y[1] (numeric) = 0.4020081751542728 absolute error = 4.529709940470639e-13 relative error = 1.126770603291148e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.109999999999875 y[1] (closed_form) = 0.4034528123039771 y[1] (numeric) = 0.4034528123035245 absolute error = 4.525824159884451e-13 relative error = 1.121772862119627e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.099999999999876 y[1] (closed_form) = 0.4048461045998746 y[1] (numeric) = 0.4048461045994217 absolute error = 4.528599717446014e-13 relative error = 1.11859782420824e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.089999999999877 y[1] (closed_form) = 0.4061889127060154 y[1] (numeric) = 0.4061889127055626 absolute error = 4.528044605933701e-13 relative error = 1.11476322082945e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.079999999999878 y[1] (closed_form) = 0.4074821023343747 y[1] (numeric) = 0.4074821023339224 absolute error = 4.522493490810575e-13 relative error = 1.109863099483931e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.069999999999879 y[1] (closed_form) = 0.4087265441587347 y[1] (numeric) = 0.4087265441582824 absolute error = 4.522493490810575e-13 relative error = 1.10648392071502e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.05999999999988 y[1] (closed_form) = 0.4099231137276163 y[1] (numeric) = 0.4099231137271639 absolute error = 4.523048602322888e-13 relative error = 1.10338950180017e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.049999999999881 y[1] (closed_form) = 0.4110726913767264 y[1] (numeric) = 0.4110726913762742 absolute error = 4.522493490810575e-13 relative error = 1.100168798774801e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.039999999999882 y[1] (closed_form) = 0.4121761621409248 y[1] (numeric) = 0.4121761621404726 absolute error = 4.52138326778595e-13 relative error = 1.096954089800096e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.029999999999883 y[1] (closed_form) = 0.4132344156657211 y[1] (numeric) = 0.4132344156652693 absolute error = 4.518052598712075e-13 relative error = 1.09333889614046e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.019999999999885 y[1] (closed_form) = 0.414248346118312 y[1] (numeric) = 0.4142483461178601 absolute error = 4.518607710224387e-13 relative error = 1.090796801620505e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -2.009999999999886 y[1] (closed_form) = 0.4152188520981634 y[1] (numeric) = 0.4152188520977116 absolute error = 4.518607710224387e-13 relative error = 1.088247242963845e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.999999999999887 y[1] (closed_form) = 0.4161468365471528 y[1] (numeric) = 0.4161468365467011 absolute error = 4.516942375687449e-13 relative error = 1.085420332199412e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.989999999999888 y[1] (closed_form) = 0.417033206659275 y[1] (numeric) = 0.4170332066588238 absolute error = 4.512501483588949e-13 relative error = 1.082048482358806e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.979999999999889 y[1] (closed_form) = 0.4178788737899253 y[1] (numeric) = 0.4178788737894738 absolute error = 4.514721929638199e-13 relative error = 1.08039008736963e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.96999999999989 y[1] (closed_form) = 0.4186847533647606 y[1] (numeric) = 0.4186847533643094 absolute error = 4.512501483588949e-13 relative error = 1.077780226608259e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.959999999999891 y[1] (closed_form) = 0.4194517647881626 y[1] (numeric) = 0.4194517647877114 absolute error = 4.511946372076636e-13 relative error = 1.075677050579421e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.949999999999892 y[1] (closed_form) = 0.4201808313512947 y[1] (numeric) = 0.4201808313508434 absolute error = 4.513056595101261e-13 relative error = 1.074074840726871e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.939999999999893 y[1] (closed_form) = 0.4208728801397745 y[1] (numeric) = 0.4208728801393232 absolute error = 4.513056595101261e-13 relative error = 1.072308720296363e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.929999999999894 y[1] (closed_form) = 0.4215288419409666 y[1] (numeric) = 0.4215288419405155 absolute error = 4.510836149052011e-13 relative error = 1.070113287689039e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.919999999999896 y[1] (closed_form) = 0.4221496511509044 y[1] (numeric) = 0.4221496511504536 absolute error = 4.508615703002761e-13 relative error = 1.068013603875058e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.909999999999897 y[1] (closed_form) = 0.4227362456808512 y[1] (numeric) = 0.4227362456804001 absolute error = 4.510836149052011e-13 relative error = 1.067056869416755e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.899999999999898 y[1] (closed_form) = 0.423289566863509 y[1] (numeric) = 0.423289566863058 absolute error = 4.510281037539698e-13 relative error = 1.065530877824365e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.889999999999899 y[1] (closed_form) = 0.4238105593588872 y[1] (numeric) = 0.4238105593584367 absolute error = 4.505285033928885e-13 relative error = 1.063042185816272e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.8799999999999 y[1] (closed_form) = 0.424300171059838 y[1] (numeric) = 0.4243001710593874 absolute error = 4.505285033928885e-13 relative error = 1.061815512040771e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.869999999999901 y[1] (closed_form) = 0.4247593529972655 y[1] (numeric) = 0.4247593529968147 absolute error = 4.508060591490448e-13 relative error = 1.061321089148441e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.859999999999902 y[1] (closed_form) = 0.4251890592450249 y[1] (numeric) = 0.4251890592445742 absolute error = 4.507505479978136e-13 relative error = 1.060117936238002e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.849999999999903 y[1] (closed_form) = 0.4255902468245165 y[1] (numeric) = 0.425590246824066 absolute error = 4.504729922416573e-13 relative error = 1.058466437148877e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.839999999999904 y[1] (closed_form) = 0.4259638756089839 y[1] (numeric) = 0.4259638756085333 absolute error = 4.505285033928885e-13 relative error = 1.057668335721628e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.829999999999905 y[1] (closed_form) = 0.4263109082275256 y[1] (numeric) = 0.4263109082270755 absolute error = 4.501399253342697e-13 relative error = 1.055895865310644e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.819999999999907 y[1] (closed_form) = 0.4266323099688369 y[1] (numeric) = 0.4266323099683865 absolute error = 4.504729922416573e-13 relative error = 1.055881098819172e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.809999999999908 y[1] (closed_form) = 0.4269290486846771 y[1] (numeric) = 0.426929048684227 absolute error = 4.500844141830385e-13 relative error = 1.054237034396466e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.799999999999909 y[1] (closed_form) = 0.4272020946930897 y[1] (numeric) = 0.4272020946926391 absolute error = 4.505285033928885e-13 relative error = 1.054602748885295e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.78999999999991 y[1] (closed_form) = 0.4274524206813668 y[1] (numeric) = 0.4274524206809165 absolute error = 4.503064587879635e-13 relative error = 1.053465688813195e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.779999999999911 y[1] (closed_form) = 0.4276810016087857 y[1] (numeric) = 0.4276810016083355 absolute error = 4.502509476367322e-13 relative error = 1.052772851595105e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.769999999999912 y[1] (closed_form) = 0.4278888146091107 y[1] (numeric) = 0.4278888146086606 absolute error = 4.500844141830385e-13 relative error = 1.051872352854571e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.759999999999913 y[1] (closed_form) = 0.4280768388928817 y[1] (numeric) = 0.4280768388924316 absolute error = 4.501399253342697e-13 relative error = 1.051540014401267e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.749999999999914 y[1] (closed_form) = 0.4282460556494936 y[1] (numeric) = 0.4282460556490434 absolute error = 4.50195436485501e-13 relative error = 1.051254134268016e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.739999999999915 y[1] (closed_form) = 0.4283974479490782 y[1] (numeric) = 0.4283974479486282 absolute error = 4.499733918805759e-13 relative error = 1.050364314808109e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.729999999999916 y[1] (closed_form) = 0.4285320006441986 y[1] (numeric) = 0.4285320006437488 absolute error = 4.498068584268822e-13 relative error = 1.049645902174637e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.719999999999918 y[1] (closed_form) = 0.4286507002713646 y[1] (numeric) = 0.4286507002709146 absolute error = 4.500844141830385e-13 relative error = 1.050002750253539e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.709999999999919 y[1] (closed_form) = 0.4287545349523785 y[1] (numeric) = 0.4287545349519283 absolute error = 4.501399253342697e-13 relative error = 1.049877933965798e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.69999999999992 y[1] (closed_form) = 0.4288444942955252 y[1] (numeric) = 0.4288444942950752 absolute error = 4.499733918805759e-13 relative error = 1.049269368888039e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.689999999999921 y[1] (closed_form) = 0.4289215692966128 y[1] (numeric) = 0.4289215692961627 absolute error = 4.501399253342697e-13 relative error = 1.04946908142776e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.679999999999922 y[1] (closed_form) = 0.4289867522398718 y[1] (numeric) = 0.4289867522394216 absolute error = 4.502509476367322e-13 relative error = 1.049568419737518e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.669999999999923 y[1] (closed_form) = 0.4290410365987283 y[1] (numeric) = 0.4290410365982784 absolute error = 4.499178807293447e-13 relative error = 1.048659317756921e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.659999999999924 y[1] (closed_form) = 0.4290854169364593 y[1] (numeric) = 0.4290854169360092 absolute error = 4.501399253342697e-13 relative error = 1.049068338299943e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.649999999999925 y[1] (closed_form) = 0.4291208888067342 y[1] (numeric) = 0.4291208888062841 absolute error = 4.500289030318072e-13 relative error = 1.048722900167392e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.639999999999926 y[1] (closed_form) = 0.4291484486540624 y[1] (numeric) = 0.4291484486536122 absolute error = 4.502509476367322e-13 relative error = 1.049172958795152e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.629999999999928 y[1] (closed_form) = 0.4291690937141484 y[1] (numeric) = 0.4291690937136983 absolute error = 4.500289030318072e-13 relative error = 1.04860510606002e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.619999999999929 y[1] (closed_form) = 0.4291838219141706 y[1] (numeric) = 0.4291838219137205 absolute error = 4.501399253342697e-13 relative error = 1.048827803729028e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.60999999999993 y[1] (closed_form) = 0.4291936317729879 y[1] (numeric) = 0.4291936317725376 absolute error = 4.503064587879635e-13 relative error = 1.049191845945521e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.599999999999931 y[1] (closed_form) = 0.4291995223012885 y[1] (numeric) = 0.4291995223008386 absolute error = 4.499178807293447e-13 relative error = 1.048272091070764e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.589999999999932 y[1] (closed_form) = 0.4292024929016924 y[1] (numeric) = 0.4292024929012423 absolute error = 4.500844141830385e-13 relative error = 1.048652842485071e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.579999999999933 y[1] (closed_form) = 0.4292035432688084 y[1] (numeric) = 0.4292035432683581 absolute error = 4.503064587879635e-13 relative error = 1.049167617206595e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.569999999999934 y[1] (closed_form) = 0.4292036732892668 y[1] (numeric) = 0.4292036732888165 absolute error = 4.503064587879635e-13 relative error = 1.049167299377874e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.559999999999935 y[1] (closed_form) = 0.4292038829417326 y[1] (numeric) = 0.4292038829412824 absolute error = 4.50195436485501e-13 relative error = 1.048908116580618e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.549999999999936 y[1] (closed_form) = 0.4292051721969075 y[1] (numeric) = 0.4292051721964573 absolute error = 4.501399253342697e-13 relative error = 1.048775631081533e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.539999999999937 y[1] (closed_form) = 0.4292085409175339 y[1] (numeric) = 0.4292085409170837 absolute error = 4.502509476367322e-13 relative error = 1.049026067082019e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.529999999999939 y[1] (closed_form) = 0.4292149887584089 y[1] (numeric) = 0.4292149887579587 absolute error = 4.50195436485501e-13 relative error = 1.048880976379185e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.51999999999994 y[1] (closed_form) = 0.4292255150664208 y[1] (numeric) = 0.4292255150659706 absolute error = 4.50195436485501e-13 relative error = 1.048855253667376e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.509999999999941 y[1] (closed_form) = 0.4292411187806142 y[1] (numeric) = 0.4292411187801639 absolute error = 4.503064587879635e-13 relative error = 1.049075773698456e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.499999999999942 y[1] (closed_form) = 0.4292627983322972 y[1] (numeric) = 0.4292627983318469 absolute error = 4.502509476367322e-13 relative error = 1.048893473615638e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.489999999999943 y[1] (closed_form) = 0.4292915515451996 y[1] (numeric) = 0.4292915515447492 absolute error = 4.50417481090426e-13 relative error = 1.049211146758387e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.479999999999944 y[1] (closed_form) = 0.4293283755356905 y[1] (numeric) = 0.4293283755352403 absolute error = 4.50195436485501e-13 relative error = 1.04860396409572e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.469999999999945 y[1] (closed_form) = 0.4293742666130687 y[1] (numeric) = 0.4293742666126183 absolute error = 4.503619699391948e-13 relative error = 1.0488797418897e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.459999999999946 y[1] (closed_form) = 0.4294302201799307 y[1] (numeric) = 0.4294302201794805 absolute error = 4.50195436485501e-13 relative error = 1.048355274803133e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.449999999999947 y[1] (closed_form) = 0.4294972306326339 y[1] (numeric) = 0.4294972306321835 absolute error = 4.50417481090426e-13 relative error = 1.048708696973383e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.439999999999948 y[1] (closed_form) = 0.429576291261855 y[1] (numeric) = 0.4295762912614046 absolute error = 4.50417481090426e-13 relative error = 1.048515689186084e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.42999999999995 y[1] (closed_form) = 0.4296683941532637 y[1] (numeric) = 0.4296683941528135 absolute error = 4.50195436485501e-13 relative error = 1.047774150045849e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.419999999999951 y[1] (closed_form) = 0.4297745300883147 y[1] (numeric) = 0.4297745300878646 absolute error = 4.500844141830385e-13 relative error = 1.047257067771211e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.409999999999952 y[1] (closed_form) = 0.4298956884451695 y[1] (numeric) = 0.4298956884447192 absolute error = 4.502509476367322e-13 relative error = 1.047349298303463e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.399999999999953 y[1] (closed_form) = 0.4300328570997598 y[1] (numeric) = 0.4300328570993095 absolute error = 4.503064587879635e-13 relative error = 1.047144308518501e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.389999999999954 y[1] (closed_form) = 0.4301870223270012 y[1] (numeric) = 0.4301870223265511 absolute error = 4.501399253342697e-13 relative error = 1.046381926863664e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.379999999999955 y[1] (closed_form) = 0.4303591687021664 y[1] (numeric) = 0.4303591687017163 absolute error = 4.500844141830385e-13 relative error = 1.04583437954943e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.369999999999956 y[1] (closed_form) = 0.430550279002428 y[1] (numeric) = 0.4305502790019779 absolute error = 4.501399253342697e-13 relative error = 1.045499091017268e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.359999999999957 y[1] (closed_form) = 0.4307613341085816 y[1] (numeric) = 0.4307613341081316 absolute error = 4.500289030318072e-13 relative error = 1.044729104953438e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.349999999999958 y[1] (closed_form) = 0.4309933129069594 y[1] (numeric) = 0.4309933129065095 absolute error = 4.499178807293447e-13 relative error = 1.043909191292884e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.339999999999959 y[1] (closed_form) = 0.4312471921915417 y[1] (numeric) = 0.4312471921910917 absolute error = 4.500289030318072e-13 relative error = 1.043552076814273e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.329999999999961 y[1] (closed_form) = 0.4315239465662779 y[1] (numeric) = 0.431523946565828 absolute error = 4.499178807293447e-13 relative error = 1.042625523587812e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.319999999999962 y[1] (closed_form) = 0.4318245483476282 y[1] (numeric) = 0.4318245483471784 absolute error = 4.498068584268822e-13 relative error = 1.041642630434196e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.309999999999963 y[1] (closed_form) = 0.4321499674673315 y[1] (numeric) = 0.4321499674668818 absolute error = 4.496958361244197e-13 relative error = 1.040601342075571e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.299999999999964 y[1] (closed_form) = 0.4325011713754139 y[1] (numeric) = 0.4325011713749641 absolute error = 4.497513472756509e-13 relative error = 1.039884691746335e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.289999999999965 y[1] (closed_form) = 0.4328791249434438 y[1] (numeric) = 0.432879124942994 absolute error = 4.498068584268822e-13 relative error = 1.039104989148299e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.279999999999966 y[1] (closed_form) = 0.4332847903680459 y[1] (numeric) = 0.4332847903675962 absolute error = 4.496958361244197e-13 relative error = 1.037875886994403e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.269999999999967 y[1] (closed_form) = 0.4337191270746827 y[1] (numeric) = 0.4337191270742331 absolute error = 4.496403249731884e-13 relative error = 1.036708544550225e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.259999999999968 y[1] (closed_form) = 0.4341830916217122 y[1] (numeric) = 0.4341830916212626 absolute error = 4.496403249731884e-13 relative error = 1.035600726167714e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.249999999999969 y[1] (closed_form) = 0.4346776376047328 y[1] (numeric) = 0.4346776376042833 absolute error = 4.494737915194946e-13 relative error = 1.034039372249042e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.23999999999997 y[1] (closed_form) = 0.4352037155612254 y[1] (numeric) = 0.4352037155607759 absolute error = 4.495293026707259e-13 relative error = 1.032916968760312e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.229999999999972 y[1] (closed_form) = 0.4357622728754991 y[1] (numeric) = 0.4357622728750496 absolute error = 4.494737915194946e-13 relative error = 1.031465593736503e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.219999999999973 y[1] (closed_form) = 0.4363542536839546 y[1] (numeric) = 0.4363542536835053 absolute error = 4.493627692170321e-13 relative error = 1.029811822443008e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.209999999999974 y[1] (closed_form) = 0.4369805987806714 y[1] (numeric) = 0.4369805987802221 absolute error = 4.493072580658009e-13 relative error = 1.028208710683095e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.199999999999975 y[1] (closed_form) = 0.4376422455233282 y[1] (numeric) = 0.437642245522879 absolute error = 4.491962357633383e-13 relative error = 1.026400536872746e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.189999999999976 y[1] (closed_form) = 0.4383401277394687 y[1] (numeric) = 0.4383401277390198 absolute error = 4.489741911584133e-13 relative error = 1.024259844686784e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.179999999999977 y[1] (closed_form) = 0.4390751756331199 y[1] (numeric) = 0.4390751756326711 absolute error = 4.488631688559508e-13 relative error = 1.022292294727702e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.169999999999978 y[1] (closed_form) = 0.4398483156917714 y[1] (numeric) = 0.4398483156913227 absolute error = 4.48696635402257e-13 relative error = 1.020116752514033e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.159999999999979 y[1] (closed_form) = 0.4406604705937287 y[1] (numeric) = 0.4406604705932798 absolute error = 4.488631688559508e-13 relative error = 1.018614554310193e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.14999999999998 y[1] (closed_form) = 0.4415125591158444 y[1] (numeric) = 0.4415125591153958 absolute error = 4.485856130997945e-13 relative error = 1.016020051611022e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.139999999999981 y[1] (closed_form) = 0.4424054960416437 y[1] (numeric) = 0.4424054960411951 absolute error = 4.485856130997945e-13 relative error = 1.01396934964291e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.129999999999983 y[1] (closed_form) = 0.4433401920698443 y[1] (numeric) = 0.443340192069396 absolute error = 4.483635684948695e-13 relative error = 1.011330748970835e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.119999999999984 y[1] (closed_form) = 0.4443175537232895 y[1] (numeric) = 0.4443175537228411 absolute error = 4.484190796461007e-13 relative error = 1.009231068834533e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.109999999999985 y[1] (closed_form) = 0.4453384832582947 y[1] (numeric) = 0.4453384832578465 absolute error = 4.48252546192407e-13 relative error = 1.006543478822651e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.099999999999986 y[1] (closed_form) = 0.4464038785744242 y[1] (numeric) = 0.446403878573976 absolute error = 4.48252546192407e-13 relative error = 1.004141244524771e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.089999999999987 y[1] (closed_form) = 0.4475146331247006 y[1] (numeric) = 0.4475146331242525 absolute error = 4.480860127387132e-13 relative error = 1.001276784202615e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.079999999999988 y[1] (closed_form) = 0.4486716358262615 y[1] (numeric) = 0.4486716358258135 absolute error = 4.479749904362507e-13 relative error = 9.984473157329683e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.069999999999989 y[1] (closed_form) = 0.4498757709714671 y[1] (numeric) = 0.4498757709710193 absolute error = 4.478084569825569e-13 relative error = 9.954047003143867e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.05999999999999 y[1] (closed_form) = 0.4511279181394736 y[1] (numeric) = 0.4511279181390258 absolute error = 4.478084569825569e-13 relative error = 9.926418627102336e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.049999999999991 y[1] (closed_form) = 0.4524289521082743 y[1] (numeric) = 0.4524289521078265 absolute error = 4.478084569825569e-13 relative error = 9.897873575415846e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.039999999999992 y[1] (closed_form) = 0.4537797427672228 y[1] (numeric) = 0.4537797427667751 absolute error = 4.476974346800944e-13 relative error = 9.865963428644093e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.029999999999994 y[1] (closed_form) = 0.4551811550300455 y[1] (numeric) = 0.4551811550295982 absolute error = 4.473643677727068e-13 relative error = 9.828270850606222e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.019999999999995 y[1] (closed_form) = 0.4566340487483513 y[1] (numeric) = 0.4566340487479039 absolute error = 4.474198789239381e-13 relative error = 9.798215445176075e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1.009999999999996 y[1] (closed_form) = 0.4581392786256453 y[1] (numeric) = 0.458139278625198 absolute error = 4.472533454702443e-13 relative error = 9.762388128167982e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9999999999999968 y[1] (closed_form) = 0.4596976941318608 y[1] (numeric) = 0.4596976941314138 absolute error = 4.46975789714088e-13 relative error = 9.723254987349934e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9899999999999968 y[1] (closed_form) = 0.4613101394184128 y[1] (numeric) = 0.461310139417966 absolute error = 4.468092562603942e-13 relative error = 9.685658694250678e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9799999999999968 y[1] (closed_form) = 0.4629774532337833 y[1] (numeric) = 0.4629774532333363 absolute error = 4.46975789714088e-13 relative error = 9.654374885689842e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9699999999999968 y[1] (closed_form) = 0.4647004688396462 y[1] (numeric) = 0.4647004688391993 absolute error = 4.469202785628568e-13 relative error = 9.61738385327679e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9599999999999967 y[1] (closed_form) = 0.4664800139275439 y[1] (numeric) = 0.4664800139270969 absolute error = 4.46975789714088e-13 relative error = 9.581885104803539e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9499999999999967 y[1] (closed_form) = 0.4683169105361172 y[1] (numeric) = 0.4683169105356701 absolute error = 4.471423231677818e-13 relative error = 9.547857724289833e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9399999999999967 y[1] (closed_form) = 0.4702119749689025 y[1] (numeric) = 0.4702119749684554 absolute error = 4.471423231677818e-13 relative error = 9.509377620537068e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9299999999999967 y[1] (closed_form) = 0.4721660177127024 y[1] (numeric) = 0.4721660177122554 absolute error = 4.46975789714088e-13 relative error = 9.466496379374303e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9199999999999967 y[1] (closed_form) = 0.474179843356538 y[1] (numeric) = 0.4741798433560908 absolute error = 4.471423231677818e-13 relative error = 9.429804523166403e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.9099999999999967 y[1] (closed_form) = 0.4762542505111892 y[1] (numeric) = 0.4762542505107422 absolute error = 4.470313008653193e-13 relative error = 9.386400234444032e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8999999999999967 y[1] (closed_form) = 0.4783900317293363 y[1] (numeric) = 0.4783900317288893 absolute error = 4.46975789714088e-13 relative error = 9.343334101220951e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8899999999999967 y[1] (closed_form) = 0.4805879734263038 y[1] (numeric) = 0.4805879734258569 absolute error = 4.468647674116255e-13 relative error = 9.298292760548042e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8799999999999967 y[1] (closed_form) = 0.4828488558014207 y[1] (numeric) = 0.4828488558009736 absolute error = 4.470868120165505e-13 relative error = 9.259353245737464e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8699999999999967 y[1] (closed_form) = 0.4851734527599997 y[1] (numeric) = 0.4851734527595526 absolute error = 4.470313008653193e-13 relative error = 9.213845034642731e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8599999999999967 y[1] (closed_form) = 0.487562531835949 y[1] (numeric) = 0.487562531835502 absolute error = 4.470313008653193e-13 relative error = 9.168696765561401e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8499999999999966 y[1] (closed_form) = 0.4900168541150188 y[1] (numeric) = 0.4900168541145716 absolute error = 4.471978343190131e-13 relative error = 9.126172509446887e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8399999999999966 y[1] (closed_form) = 0.4925371741586927 y[1] (numeric) = 0.4925371741582458 absolute error = 4.469202785628568e-13 relative error = 9.073838524498084e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8299999999999966 y[1] (closed_form) = 0.4951242399287338 y[1] (numeric) = 0.4951242399282868 absolute error = 4.46975789714088e-13 relative error = 9.027548111529017e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8199999999999966 y[1] (closed_form) = 0.4977787927123872 y[1] (numeric) = 0.4977787927119403 absolute error = 4.469202785628568e-13 relative error = 8.978290861440613e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.8099999999999966 y[1] (closed_form) = 0.5005015670482539 y[1] (numeric) = 0.5005015670478069 absolute error = 4.46975789714088e-13 relative error = 8.930557247805672e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7999999999999966 y[1] (closed_form) = 0.5032932906528355 y[1] (numeric) = 0.5032932906523886 absolute error = 4.468647674116255e-13 relative error = 8.878814315843253e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7899999999999966 y[1] (closed_form) = 0.506154684347765 y[1] (numeric) = 0.5061546843473179 absolute error = 4.470868120165505e-13 relative error = 8.833007494392158e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7799999999999966 y[1] (closed_form) = 0.5090864619877237 y[1] (numeric) = 0.5090864619872766 absolute error = 4.470868120165505e-13 relative error = 8.78213909422977e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7699999999999966 y[1] (closed_form) = 0.5120893303890578 y[1] (numeric) = 0.5120893303886106 absolute error = 4.471978343190131e-13 relative error = 8.732809058514386e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7599999999999966 y[1] (closed_form) = 0.5151639892590959 y[1] (numeric) = 0.5151639892586488 absolute error = 4.470868120165505e-13 relative error = 8.678533852095265e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7499999999999966 y[1] (closed_form) = 0.5183111311261802 y[1] (numeric) = 0.5183111311257332 absolute error = 4.46975789714088e-13 relative error = 8.623696518786011e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7399999999999965 y[1] (closed_form) = 0.5215314412704132 y[1] (numeric) = 0.5215314412699662 absolute error = 4.46975789714088e-13 relative error = 8.570447615301717e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7299999999999965 y[1] (closed_form) = 0.5248255976551309 y[1] (numeric) = 0.524825597654684 absolute error = 4.46975789714088e-13 relative error = 8.516653755288077e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7199999999999965 y[1] (closed_form) = 0.5281942708591062 y[1] (numeric) = 0.5281942708586594 absolute error = 4.46753745109163e-13 relative error = 8.458133110427713e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.7099999999999965 y[1] (closed_form) = 0.5316381240094931 y[1] (numeric) = 0.5316381240090463 absolute error = 4.46753745109163e-13 relative error = 8.403342893091423e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6999999999999965 y[1] (closed_form) = 0.5351578127155127 y[1] (numeric) = 0.5351578127150661 absolute error = 4.46531700504238e-13 relative error = 8.343925658833876e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6899999999999965 y[1] (closed_form) = 0.5387539850028945 y[1] (numeric) = 0.5387539850024482 absolute error = 4.463096558993129e-13 relative error = 8.284108671547275e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6799999999999965 y[1] (closed_form) = 0.5424272812490735 y[1] (numeric) = 0.5424272812486268 absolute error = 4.466427228067005e-13 relative error = 8.234149318194224e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6699999999999965 y[1] (closed_form) = 0.5461783341191521 y[1] (numeric) = 0.5461783341187055 absolute error = 4.46531700504238e-13 relative error = 8.175565975614558e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6599999999999965 y[1] (closed_form) = 0.5500077685026362 y[1] (numeric) = 0.5500077685021899 absolute error = 4.463096558993129e-13 relative error = 8.114606401185291e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6499999999999965 y[1] (closed_form) = 0.5539162014509457 y[1] (numeric) = 0.5539162014504992 absolute error = 4.464206782017754e-13 relative error = 8.059354050890856e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6399999999999965 y[1] (closed_form) = 0.5579042421157087 y[1] (numeric) = 0.5579042421152623 absolute error = 4.463096558993129e-13 relative error = 7.999753760731377e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6299999999999965 y[1] (closed_form) = 0.5619724916878496 y[1] (numeric) = 0.5619724916874032 absolute error = 4.464206782017754e-13 relative error = 7.943817265165037e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6199999999999964 y[1] (closed_form) = 0.5661215433374674 y[1] (numeric) = 0.5661215433370211 absolute error = 4.463096558993129e-13 relative error = 7.883636670460814e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.6099999999999964 y[1] (closed_form) = 0.5703519821545221 y[1] (numeric) = 0.5703519821540756 absolute error = 4.46531700504238e-13 relative error = 7.829054942834612e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5999999999999964 y[1] (closed_form) = 0.5746643850903231 y[1] (numeric) = 0.5746643850898767 absolute error = 4.464206782017754e-13 relative error = 7.768372110472951e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5899999999999964 y[1] (closed_form) = 0.5790593208998381 y[1] (numeric) = 0.5790593208993915 absolute error = 4.466427228067005e-13 relative error = 7.713246409929697e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5799999999999964 y[1] (closed_form) = 0.5835373500848148 y[1] (numeric) = 0.5835373500843681 absolute error = 4.466427228067005e-13 relative error = 7.654055438641294e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5699999999999964 y[1] (closed_form) = 0.5880990248377328 y[1] (numeric) = 0.5880990248372864 absolute error = 4.464206782017754e-13 relative error = 7.590910022762766e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5599999999999964 y[1] (closed_form) = 0.5927448889865855 y[1] (numeric) = 0.5927448889861391 absolute error = 4.464206782017754e-13 relative error = 7.531413370177173e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5499999999999964 y[1] (closed_form) = 0.5974754779404959 y[1] (numeric) = 0.5974754779400494 absolute error = 4.46531700504238e-13 relative error = 7.473640626113013e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5399999999999964 y[1] (closed_form) = 0.6022913186361777 y[1] (numeric) = 0.602291318635731 absolute error = 4.466427228067005e-13 relative error = 7.41572572917162e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5299999999999964 y[1] (closed_form) = 0.6071929294852408 y[1] (numeric) = 0.6071929294847941 absolute error = 4.46753745109163e-13 relative error = 7.357690174157773e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5199999999999964 y[1] (closed_form) = 0.6121808203223519 y[1] (numeric) = 0.6121808203219054 absolute error = 4.46531700504238e-13 relative error = 7.29411451128297e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.5099999999999963 y[1] (closed_form) = 0.6172554923542507 y[1] (numeric) = 0.6172554923538038 absolute error = 4.468647674116255e-13 relative error = 7.239542992274652e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4999999999999963 y[1] (closed_form) = 0.6224174381096291 y[1] (numeric) = 0.6224174381091824 absolute error = 4.46753745109163e-13 relative error = 7.177718967290152e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4899999999999963 y[1] (closed_form) = 0.6276671413898803 y[1] (numeric) = 0.6276671413894336 absolute error = 4.46753745109163e-13 relative error = 7.117685723039283e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4799999999999963 y[1] (closed_form) = 0.6330050772207177 y[1] (numeric) = 0.6330050772202711 absolute error = 4.466427228067005e-13 relative error = 7.055910590286846e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4699999999999963 y[1] (closed_form) = 0.6384317118046731 y[1] (numeric) = 0.6384317118042263 absolute error = 4.46753745109163e-13 relative error = 6.997674721487619e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4599999999999963 y[1] (closed_form) = 0.6439475024744769 y[1] (numeric) = 0.64394750247403 absolute error = 4.468647674116255e-13 relative error = 6.939459594058091e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4499999999999963 y[1] (closed_form) = 0.6495528976473252 y[1] (numeric) = 0.6495528976468784 absolute error = 4.46753745109163e-13 relative error = 6.877865478351357e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4399999999999963 y[1] (closed_form) = 0.6552483367800387 y[1] (numeric) = 0.6552483367795919 absolute error = 4.46753745109163e-13 relative error = 6.818082855495053e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4299999999999963 y[1] (closed_form) = 0.6610342503251171 y[1] (numeric) = 0.6610342503246701 absolute error = 4.46975789714088e-13 relative error = 6.761764454629265e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4199999999999963 y[1] (closed_form) = 0.6669110596876938 y[1] (numeric) = 0.6669110596872471 absolute error = 4.46753745109163e-13 relative error = 6.698850448189782e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.4099999999999963 y[1] (closed_form) = 0.6728791771833972 y[1] (numeric) = 0.6728791771829503 absolute error = 4.468647674116255e-13 relative error = 6.641084797454356e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3999999999999962 y[1] (closed_form) = 0.6789390059971173 y[1] (numeric) = 0.6789390059966706 absolute error = 4.46753745109163e-13 relative error = 6.580174966572178e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3899999999999962 y[1] (closed_form) = 0.6850909401426893 y[1] (numeric) = 0.6850909401422427 absolute error = 4.466427228067005e-13 relative error = 6.519466199825598e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3799999999999962 y[1] (closed_form) = 0.691335364423492 y[1] (numeric) = 0.6913353644230456 absolute error = 4.464206782017754e-13 relative error = 6.457367887928717e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3699999999999962 y[1] (closed_form) = 0.6976726543939681 y[1] (numeric) = 0.6976726543935214 absolute error = 4.466427228067005e-13 relative error = 6.401895215381141e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3599999999999962 y[1] (closed_form) = 0.7041031763220676 y[1] (numeric) = 0.7041031763216211 absolute error = 4.46531700504238e-13 relative error = 6.341850392391747e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3499999999999962 y[1] (closed_form) = 0.7106272871526235 y[1] (numeric) = 0.7106272871521769 absolute error = 4.46531700504238e-13 relative error = 6.283627276591408e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3399999999999962 y[1] (closed_form) = 0.7172453344716564 y[1] (numeric) = 0.7172453344712095 absolute error = 4.468647674116255e-13 relative error = 6.230291727736354e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3299999999999962 y[1] (closed_form) = 0.7239576564716156 y[1] (numeric) = 0.7239576564711688 absolute error = 4.46753745109163e-13 relative error = 6.170992752345854e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3199999999999962 y[1] (closed_form) = 0.7307645819175618 y[1] (numeric) = 0.730764581917115 absolute error = 4.46753745109163e-13 relative error = 6.113511193124049e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.3099999999999962 y[1] (closed_form) = 0.7376664301142893 y[1] (numeric) = 0.7376664301138426 absolute error = 4.46753745109163e-13 relative error = 6.056311184446144e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2999999999999962 y[1] (closed_form) = 0.7446635108743968 y[1] (numeric) = 0.7446635108739499 absolute error = 4.468647674116255e-13 relative error = 6.000895181327055e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2899999999999961 y[1] (closed_form) = 0.7517561244873056 y[1] (numeric) = 0.7517561244868589 absolute error = 4.466427228067005e-13 relative error = 5.941324696374226e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2799999999999961 y[1] (closed_form) = 0.7589445616892317 y[1] (numeric) = 0.7589445616887853 absolute error = 4.464206782017754e-13 relative error = 5.882125002755778e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2699999999999961 y[1] (closed_form) = 0.7662291036341123 y[1] (numeric) = 0.7662291036336658 absolute error = 4.46531700504238e-13 relative error = 5.827652570052528e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2599999999999961 y[1] (closed_form) = 0.7736100218654897 y[1] (numeric) = 0.7736100218650431 absolute error = 4.46531700504238e-13 relative error = 5.772051652426473e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2499999999999961 y[1] (closed_form) = 0.7810875782893582 y[1] (numeric) = 0.7810875782889117 absolute error = 4.464206782017754e-13 relative error = 5.715372905807452e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2399999999999961 y[1] (closed_form) = 0.7886620251479733 y[1] (numeric) = 0.7886620251475268 absolute error = 4.46531700504238e-13 relative error = 5.661889203051929e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2299999999999961 y[1] (closed_form) = 0.7963336049946282 y[1] (numeric) = 0.7963336049941817 absolute error = 4.46531700504238e-13 relative error = 5.607344681972201e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2199999999999961 y[1] (closed_form) = 0.8041025506693976 y[1] (numeric) = 0.8041025506689511 absolute error = 4.46531700504238e-13 relative error = 5.553168562051074e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.2099999999999961 y[1] (closed_form) = 0.8119690852758549 y[1] (numeric) = 0.8119690852754086 absolute error = 4.463096558993129e-13 relative error = 5.496633603330915e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1999999999999961 y[1] (closed_form) = 0.8199334221587616 y[1] (numeric) = 0.8199334221583152 absolute error = 4.464206782017754e-13 relative error = 5.444596672573936e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1899999999999961 y[1] (closed_form) = 0.8279957648827329 y[1] (numeric) = 0.8279957648822865 absolute error = 4.463096558993129e-13 relative error = 5.390240805911885e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.1799999999999961 y[1] (closed_form) = 0.8361563072118817 y[1] (numeric) = 0.8361563072114355 absolute error = 4.461986335968504e-13 relative error = 5.336306498538243e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.169999999999996 y[1] (closed_form) = 0.8444152330904425 y[1] (numeric) = 0.8444152330899966 absolute error = 4.459765889919254e-13 relative error = 5.281484410930307e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.159999999999996 y[1] (closed_form) = 0.8527727166243763 y[1] (numeric) = 0.8527727166239302 absolute error = 4.460876112943879e-13 relative error = 5.231025836053778e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.149999999999996 y[1] (closed_form) = 0.8612289220639612 y[1] (numeric) = 0.8612289220635148 absolute error = 4.464206782017754e-13 relative error = 5.183530960989034e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.139999999999996 y[1] (closed_form) = 0.8697840037873662 y[1] (numeric) = 0.8697840037869197 absolute error = 4.46531700504238e-13 relative error = 5.133822863606036e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.129999999999996 y[1] (closed_form) = 0.8784381062852155 y[1] (numeric) = 0.8784381062847688 absolute error = 4.466427228067005e-13 relative error = 5.084509877371854e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.119999999999996 y[1] (closed_form) = 0.8871913641461374 y[1] (numeric) = 0.8871913641456907 absolute error = 4.46753745109163e-13 relative error = 5.03559618774168e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.109999999999996 y[1] (closed_form) = 0.8960439020433068 y[1] (numeric) = 0.8960439020428601 absolute error = 4.466427228067005e-13 relative error = 4.984607582152975e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.09999999999999598 y[1] (closed_form) = 0.9049958347219779 y[1] (numeric) = 0.9049958347215312 absolute error = 4.466427228067005e-13 relative error = 4.935301419855847e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.08999999999999597 y[1] (closed_form) = 0.9140472669880094 y[1] (numeric) = 0.914047266987563 absolute error = 4.464206782017754e-13 relative error = 4.883999923470387e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.07999999999999596 y[1] (closed_form) = 0.9231982936973845 y[1] (numeric) = 0.923198293696938 absolute error = 4.46531700504238e-13 relative error = 4.836790790804979e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.06999999999999595 y[1] (closed_form) = 0.9324489997467243 y[1] (numeric) = 0.9324489997462777 absolute error = 4.466427228067005e-13 relative error = 4.789996267120448e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.05999999999999595 y[1] (closed_form) = 0.9417994600647998 y[1] (numeric) = 0.9417994600643531 absolute error = 4.466427228067005e-13 relative error = 4.742439784112528e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.04999999999999594 y[1] (closed_form) = 0.9512497396050376 y[1] (numeric) = 0.951249739604591 absolute error = 4.46531700504238e-13 relative error = 4.694158451908114e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.03999999999999593 y[1] (closed_form) = 0.9607998933390259 y[1] (numeric) = 0.9607998933385793 absolute error = 4.466427228067005e-13 relative error = 4.648654999892876e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.02999999999999592 y[1] (closed_form) = 0.9704499662510163 y[1] (numeric) = 0.9704499662505698 absolute error = 4.46531700504238e-13 relative error = 4.601285136102918e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.01999999999999591 y[1] (closed_form) = 0.9801999933334261 y[1] (numeric) = 0.9801999933329797 absolute error = 4.464206782017754e-13 relative error = 4.554383607814619e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = -0.009999999999995901 y[1] (closed_form) = 0.9900499995833388 y[1] (numeric) = 0.9900499995828922 absolute error = 4.466427228067005e-13 relative error = 4.511314812329371e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.100886297209172e-15 y[1] (closed_form) = 1.000000000000004 y[1] (numeric) = 0.9999999999995576 absolute error = 4.464206782017754e-13 relative error = 4.464206782017736e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.0100000000000041 y[1] (closed_form) = 1.010049999583339 y[1] (numeric) = 1.010049999582893 absolute error = 4.460876112943879e-13 relative error = 4.416490386400732e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.02000000000000411 y[1] (closed_form) = 1.020199993333426 y[1] (numeric) = 1.02019999333298 absolute error = 4.463096558993129e-13 relative error = 4.374727100722965e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.03000000000000412 y[1] (closed_form) = 1.030449966251017 y[1] (numeric) = 1.030449966250571 absolute error = 4.458655666894629e-13 relative error = 4.326901657453695e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.04000000000000413 y[1] (closed_form) = 1.040799893339026 y[1] (numeric) = 1.040799893338581 absolute error = 4.454214774796128e-13 relative error = 4.279607255249045e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.05000000000000414 y[1] (closed_form) = 1.051249739605038 y[1] (numeric) = 1.051249739604592 absolute error = 4.456435220845378e-13 relative error = 4.239178430160366e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.06000000000000415 y[1] (closed_form) = 1.0617994600648 y[1] (numeric) = 1.061799460064354 absolute error = 4.458655666894629e-13 relative error = 4.199150437148012e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.07000000000000416 y[1] (closed_form) = 1.072448999746725 y[1] (numeric) = 1.072448999746279 absolute error = 4.456435220845378e-13 relative error = 4.155381954664356e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.08000000000000417 y[1] (closed_form) = 1.083198293697385 y[1] (numeric) = 1.083198293696939 absolute error = 4.458655666894629e-13 relative error = 4.116195245909657e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.09000000000000417 y[1] (closed_form) = 1.09404726698801 y[1] (numeric) = 1.094047266987564 absolute error = 4.463096558993129e-13 relative error = 4.079436687667389e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1000000000000042 y[1] (closed_form) = 1.104995834721979 y[1] (numeric) = 1.104995834721533 absolute error = 4.463096558993129e-13 relative error = 4.03901663585552e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1100000000000042 y[1] (closed_form) = 1.116043902043308 y[1] (numeric) = 1.116043902042862 absolute error = 4.460876112943879e-13 relative error = 3.997043579358024e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1200000000000042 y[1] (closed_form) = 1.127191364146138 y[1] (numeric) = 1.127191364145692 absolute error = 4.460876112943879e-13 relative error = 3.957514451260056e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1300000000000042 y[1] (closed_form) = 1.138438106285217 y[1] (numeric) = 1.138438106284771 absolute error = 4.458655666894629e-13 relative error = 3.916467344407028e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1400000000000042 y[1] (closed_form) = 1.149784003787368 y[1] (numeric) = 1.149784003786922 absolute error = 4.460876112943879e-13 relative error = 3.879751412656494e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1500000000000042 y[1] (closed_form) = 1.161228922063962 y[1] (numeric) = 1.161228922063517 absolute error = 4.458655666894629e-13 relative error = 3.839600945324232e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1600000000000042 y[1] (closed_form) = 1.172772716624378 y[1] (numeric) = 1.172772716623932 absolute error = 4.458655666894629e-13 relative error = 3.801807122293988e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1700000000000042 y[1] (closed_form) = 1.184415233090444 y[1] (numeric) = 1.184415233089998 absolute error = 4.458655666894629e-13 relative error = 3.764436273975343e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1800000000000042 y[1] (closed_form) = 1.196156307211883 y[1] (numeric) = 1.196156307211438 absolute error = 4.458655666894629e-13 relative error = 3.727485814364256e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1900000000000042 y[1] (closed_form) = 1.207995764882735 y[1] (numeric) = 1.207995764882289 absolute error = 4.458655666894629e-13 relative error = 3.690953061683498e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2000000000000043 y[1] (closed_form) = 1.219933422158763 y[1] (numeric) = 1.219933422158317 absolute error = 4.463096558993129e-13 relative error = 3.658475518356851e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2100000000000043 y[1] (closed_form) = 1.231969085275857 y[1] (numeric) = 1.231969085275411 absolute error = 4.460876112943879e-13 relative error = 3.620931861244733e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2200000000000043 y[1] (closed_form) = 1.2441025506694 y[1] (numeric) = 1.244102550668953 absolute error = 4.46531700504238e-13 relative error = 3.589187243961343e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2300000000000043 y[1] (closed_form) = 1.25633360499463 y[1] (numeric) = 1.256333604994184 absolute error = 4.46531700504238e-13 relative error = 3.554244658656141e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2400000000000043 y[1] (closed_form) = 1.268662025147976 y[1] (numeric) = 1.268662025147529 absolute error = 4.46753745109163e-13 relative error = 3.52145596111032e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2500000000000043 y[1] (closed_form) = 1.28108757828936 y[1] (numeric) = 1.281087578288914 absolute error = 4.46753745109163e-13 relative error = 3.487300577105855e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2600000000000043 y[1] (closed_form) = 1.293610021865492 y[1] (numeric) = 1.293610021865045 absolute error = 4.46975789714088e-13 relative error = 3.455259175168666e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2700000000000043 y[1] (closed_form) = 1.306229103634115 y[1] (numeric) = 1.306229103633668 absolute error = 4.46753745109163e-13 relative error = 3.420179077822034e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2800000000000043 y[1] (closed_form) = 1.318944561689234 y[1] (numeric) = 1.318944561688788 absolute error = 4.46753745109163e-13 relative error = 3.387206392791706e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2900000000000043 y[1] (closed_form) = 1.331756124487308 y[1] (numeric) = 1.331756124486861 absolute error = 4.46753745109163e-13 relative error = 3.354621292101448e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3000000000000043 y[1] (closed_form) = 1.344663510874399 y[1] (numeric) = 1.344663510873953 absolute error = 4.463096558993129e-13 relative error = 3.319117774000497e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3100000000000043 y[1] (closed_form) = 1.357666430114292 y[1] (numeric) = 1.357666430113846 absolute error = 4.463096558993129e-13 relative error = 3.287329243765284e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000043 y[1] (closed_form) = 1.370764581917565 y[1] (numeric) = 1.370764581917119 absolute error = 4.460876112943879e-13 relative error = 3.254297763299044e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3300000000000043 y[1] (closed_form) = 1.383957656471619 y[1] (numeric) = 1.383957656471172 absolute error = 4.463096558993129e-13 relative error = 3.224879416016046e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000044 y[1] (closed_form) = 1.39724533447166 y[1] (numeric) = 1.397245334471213 absolute error = 4.46531700504238e-13 relative error = 3.195800261326941e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3500000000000044 y[1] (closed_form) = 1.410627287152627 y[1] (numeric) = 1.41062728715218 absolute error = 4.46531700504238e-13 relative error = 3.165483218501814e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3600000000000044 y[1] (closed_form) = 1.424103176322071 y[1] (numeric) = 1.424103176321624 absolute error = 4.46753745109163e-13 relative error = 3.137088327146084e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3700000000000044 y[1] (closed_form) = 1.437672654393972 y[1] (numeric) = 1.437672654393525 absolute error = 4.46975789714088e-13 relative error = 3.109023381282185e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3800000000000044 y[1] (closed_form) = 1.451335364423496 y[1] (numeric) = 1.451335364423048 absolute error = 4.471978343190131e-13 relative error = 3.081285313382069e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3900000000000044 y[1] (closed_form) = 1.465090940142693 y[1] (numeric) = 1.465090940142246 absolute error = 4.471978343190131e-13 relative error = 3.052355468633627e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4000000000000044 y[1] (closed_form) = 1.478939005997121 y[1] (numeric) = 1.478939005996674 absolute error = 4.474198789239381e-13 relative error = 3.025276073655799e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4100000000000044 y[1] (closed_form) = 1.492879177183401 y[1] (numeric) = 1.492879177182954 absolute error = 4.46975789714088e-13 relative error = 2.99405200732582e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4200000000000044 y[1] (closed_form) = 1.506911059687698 y[1] (numeric) = 1.506911059687251 absolute error = 4.46975789714088e-13 relative error = 2.966172335391328e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4300000000000044 y[1] (closed_form) = 1.521034250325121 y[1] (numeric) = 1.521034250324674 absolute error = 4.46753745109163e-13 relative error = 2.93717084288976e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4400000000000044 y[1] (closed_form) = 1.535248336780043 y[1] (numeric) = 1.535248336779596 absolute error = 4.46975789714088e-13 relative error = 2.911423376960328e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000045 y[1] (closed_form) = 1.549552897647329 y[1] (numeric) = 1.549552897646882 absolute error = 4.46975789714088e-13 relative error = 2.884546828912565e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4600000000000045 y[1] (closed_form) = 1.563947502474481 y[1] (numeric) = 1.563947502474034 absolute error = 4.471978343190131e-13 relative error = 2.859417171046059e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4700000000000045 y[1] (closed_form) = 1.578431711804677 y[1] (numeric) = 1.57843171180423 absolute error = 4.46975789714088e-13 relative error = 2.83177147526417e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4800000000000045 y[1] (closed_form) = 1.593005077220722 y[1] (numeric) = 1.593005077220275 absolute error = 4.471978343190131e-13 relative error = 2.8072593158286e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4900000000000045 y[1] (closed_form) = 1.607667141389885 y[1] (numeric) = 1.607667141389438 absolute error = 4.471978343190131e-13 relative error = 2.781656866684448e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5000000000000044 y[1] (closed_form) = 1.622417438109634 y[1] (numeric) = 1.622417438109187 absolute error = 4.46975789714088e-13 relative error = 2.754998677990565e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5100000000000044 y[1] (closed_form) = 1.637255492354255 y[1] (numeric) = 1.637255492353808 absolute error = 4.474198789239381e-13 relative error = 2.732743185247041e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5200000000000045 y[1] (closed_form) = 1.652180820322357 y[1] (numeric) = 1.65218082032191 absolute error = 4.46975789714088e-13 relative error = 2.705368469456501e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5300000000000045 y[1] (closed_form) = 1.667192929485246 y[1] (numeric) = 1.667192929484798 absolute error = 4.474198789239381e-13 relative error = 2.683671883505896e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5400000000000045 y[1] (closed_form) = 1.682291318636183 y[1] (numeric) = 1.682291318635735 absolute error = 4.474198789239381e-13 relative error = 2.659586208211888e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000045 y[1] (closed_form) = 1.697475477940501 y[1] (numeric) = 1.697475477940054 absolute error = 4.474198789239381e-13 relative error = 2.635795831741734e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5600000000000045 y[1] (closed_form) = 1.712744888986591 y[1] (numeric) = 1.712744888986143 absolute error = 4.476419235288631e-13 relative error = 2.613593690498339e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5700000000000045 y[1] (closed_form) = 1.728099024837738 y[1] (numeric) = 1.72809902483729 absolute error = 4.476419235288631e-13 relative error = 2.590371946832705e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5800000000000045 y[1] (closed_form) = 1.74353735008482 y[1] (numeric) = 1.743537350084372 absolute error = 4.478639681337881e-13 relative error = 2.568708769628596e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5900000000000045 y[1] (closed_form) = 1.759059320899844 y[1] (numeric) = 1.759059320899396 absolute error = 4.476419235288631e-13 relative error = 2.544780145901349e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6000000000000045 y[1] (closed_form) = 1.774664385090329 y[1] (numeric) = 1.774664385089881 absolute error = 4.476419235288631e-13 relative error = 2.522403262778492e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6100000000000045 y[1] (closed_form) = 1.790351982154528 y[1] (numeric) = 1.79035198215408 absolute error = 4.476419235288631e-13 relative error = 2.500301214458212e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6200000000000045 y[1] (closed_form) = 1.806121543337473 y[1] (numeric) = 1.806121543337026 absolute error = 4.476419235288631e-13 relative error = 2.478470649885944e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6300000000000046 y[1] (closed_form) = 1.821972491687855 y[1] (numeric) = 1.821972491687408 absolute error = 4.474198789239381e-13 relative error = 2.455689539579454e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6400000000000046 y[1] (closed_form) = 1.837904242115715 y[1] (numeric) = 1.837904242115267 absolute error = 4.474198789239381e-13 relative error = 2.434402558475451e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6500000000000046 y[1] (closed_form) = 1.853916201450952 y[1] (numeric) = 1.853916201450504 absolute error = 4.476419235288631e-13 relative error = 2.414574742798623e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6600000000000046 y[1] (closed_form) = 1.870007768502642 y[1] (numeric) = 1.870007768502195 absolute error = 4.471978343190131e-13 relative error = 2.391422334448881e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6700000000000046 y[1] (closed_form) = 1.886178334119158 y[1] (numeric) = 1.886178334118711 absolute error = 4.46975789714088e-13 relative error = 2.369742996347294e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6800000000000046 y[1] (closed_form) = 1.902427281249079 y[1] (numeric) = 1.902427281248632 absolute error = 4.46975789714088e-13 relative error = 2.349502628140491e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6900000000000046 y[1] (closed_form) = 1.918753985002901 y[1] (numeric) = 1.918753985002454 absolute error = 4.471978343190131e-13 relative error = 2.33066791164651e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7000000000000046 y[1] (closed_form) = 1.935157812715519 y[1] (numeric) = 1.935157812715072 absolute error = 4.471978343190131e-13 relative error = 2.310911448051261e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7100000000000046 y[1] (closed_form) = 1.951638124009499 y[1] (numeric) = 1.951638124009052 absolute error = 4.46975789714088e-13 relative error = 2.290259573305571e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7200000000000046 y[1] (closed_form) = 1.968194270859113 y[1] (numeric) = 1.968194270858665 absolute error = 4.471978343190131e-13 relative error = 2.272122426836514e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7300000000000046 y[1] (closed_form) = 1.984825597655137 y[1] (numeric) = 1.98482559765469 absolute error = 4.474198789239381e-13 relative error = 2.254202482336572e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7400000000000047 y[1] (closed_form) = 2.00153144127042 y[1] (numeric) = 2.001531441269973 absolute error = 4.476419235288631e-13 relative error = 2.236497085675227e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7500000000000047 y[1] (closed_form) = 2.018311131126187 y[1] (numeric) = 2.01831113112574 absolute error = 4.46753745109163e-13 relative error = 2.213502855032471e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7600000000000047 y[1] (closed_form) = 2.035163989259103 y[1] (numeric) = 2.035163989258656 absolute error = 4.471978343190131e-13 relative error = 2.197355282813423e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7700000000000047 y[1] (closed_form) = 2.052089330389065 y[1] (numeric) = 2.052089330388618 absolute error = 4.46753745109163e-13 relative error = 2.177067725528601e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7800000000000047 y[1] (closed_form) = 2.069086461987731 y[1] (numeric) = 2.069086461987284 absolute error = 4.471978343190131e-13 relative error = 2.161329855154525e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7900000000000047 y[1] (closed_form) = 2.086154684347772 y[1] (numeric) = 2.086154684347325 absolute error = 4.46753745109163e-13 relative error = 2.141517829243994e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8000000000000047 y[1] (closed_form) = 2.103293290652843 y[1] (numeric) = 2.103293290652396 absolute error = 4.46753745109163e-13 relative error = 2.124067751723274e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8100000000000047 y[1] (closed_form) = 2.120501567048261 y[1] (numeric) = 2.120501567047814 absolute error = 4.46753745109163e-13 relative error = 2.106830535056121e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8200000000000047 y[1] (closed_form) = 2.137778792712395 y[1] (numeric) = 2.137778792711947 absolute error = 4.480860127387132e-13 relative error = 2.096035447007993e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8300000000000047 y[1] (closed_form) = 2.155124239928741 y[1] (numeric) = 2.155124239928293 absolute error = 4.480860127387132e-13 relative error = 2.079165574015951e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8400000000000047 y[1] (closed_form) = 2.1725371741587 y[1] (numeric) = 2.172537174158252 absolute error = 4.476419235288631e-13 relative error = 2.06045691117902e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8500000000000048 y[1] (closed_form) = 2.190016854115026 y[1] (numeric) = 2.190016854114578 absolute error = 4.476419235288631e-13 relative error = 2.044011317482544e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8600000000000048 y[1] (closed_form) = 2.207562531835956 y[1] (numeric) = 2.207562531835508 absolute error = 4.480860127387132e-13 relative error = 2.029777214809199e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8700000000000048 y[1] (closed_form) = 2.225173452760007 y[1] (numeric) = 2.225173452759559 absolute error = 4.476419235288631e-13 relative error = 2.011716987606642e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8800000000000048 y[1] (closed_form) = 2.242848855801428 y[1] (numeric) = 2.24284885580098 absolute error = 4.485301019485632e-13 relative error = 1.999823130249638e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8900000000000048 y[1] (closed_form) = 2.260587973426312 y[1] (numeric) = 2.260587973425862 absolute error = 4.494182803682634e-13 relative error = 1.988059237911862e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9000000000000048 y[1] (closed_form) = 2.278390031729344 y[1] (numeric) = 2.278390031728895 absolute error = 4.494182803682634e-13 relative error = 1.972525661144794e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9100000000000048 y[1] (closed_form) = 2.296254250511197 y[1] (numeric) = 2.296254250510748 absolute error = 4.489741911584133e-13 relative error = 1.955245988367628e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9200000000000048 y[1] (closed_form) = 2.314179843356546 y[1] (numeric) = 2.314179843356096 absolute error = 4.498623695781134e-13 relative error = 1.943938673865647e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9300000000000048 y[1] (closed_form) = 2.33216601771271 y[1] (numeric) = 2.332166017712261 absolute error = 4.498623695781134e-13 relative error = 1.928946593687697e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9400000000000048 y[1] (closed_form) = 2.350211974968911 y[1] (numeric) = 2.35021197496846 absolute error = 4.503064587879635e-13 relative error = 1.91602486747571e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9500000000000048 y[1] (closed_form) = 2.368316910536125 y[1] (numeric) = 2.368316910535676 absolute error = 4.494182803682634e-13 relative error = 1.897627291216389e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9600000000000048 y[1] (closed_form) = 2.386480013927552 y[1] (numeric) = 2.386480013927103 absolute error = 4.489741911584133e-13 relative error = 1.881323910270313e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9700000000000049 y[1] (closed_form) = 2.404700468839654 y[1] (numeric) = 2.404700468839205 absolute error = 4.494182803682634e-13 relative error = 1.868915842916279e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9800000000000049 y[1] (closed_form) = 2.422977453233792 y[1] (numeric) = 2.422977453233341 absolute error = 4.503064587879635e-13 relative error = 1.858483900405134e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9900000000000049 y[1] (closed_form) = 2.441310139418421 y[1] (numeric) = 2.441310139417971 absolute error = 4.498623695781134e-13 relative error = 1.842708807514646e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.000000000000005 y[1] (closed_form) = 2.459697694131869 y[1] (numeric) = 2.45969769413142 absolute error = 4.494182803682634e-13 relative error = 1.827128111883204e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.010000000000004 y[1] (closed_form) = 2.478139278625652 y[1] (numeric) = 2.478139278625204 absolute error = 4.476419235288631e-13 relative error = 1.806363053884204e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.020000000000003 y[1] (closed_form) = 2.496634048748355 y[1] (numeric) = 2.49663404874791 absolute error = 4.454214774796128e-13 relative error = 1.784087971174299e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.030000000000002 y[1] (closed_form) = 2.515181155030048 y[1] (numeric) = 2.515181155029604 absolute error = 4.432010314303625e-13 relative error = 1.762103817230087e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (closed_form) = 2.533779742767222 y[1] (numeric) = 2.533779742766781 absolute error = 4.409805853811122e-13 relative error = 1.740406152665437e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999999 y[1] (closed_form) = 2.552428952108272 y[1] (numeric) = 2.552428952107832 absolute error = 4.39648317751562e-13 relative error = 1.722470344917606e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.059999999999998 y[1] (closed_form) = 2.571127918139469 y[1] (numeric) = 2.571127918139031 absolute error = 4.378719609121617e-13 relative error = 1.703034523576006e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.069999999999997 y[1] (closed_form) = 2.589875770971461 y[1] (numeric) = 2.589875770971025 absolute error = 4.360956040727615e-13 relative error = 1.683847576631764e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.079999999999996 y[1] (closed_form) = 2.608671635826253 y[1] (numeric) = 2.608671635825818 absolute error = 4.343192472333612e-13 relative error = 1.664905775294321e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.089999999999995 y[1] (closed_form) = 2.62751463312469 y[1] (numeric) = 2.627514633124258 absolute error = 4.316547119742609e-13 relative error = 1.642825149410982e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.099999999999994 y[1] (closed_form) = 2.646403878574411 y[1] (numeric) = 2.646403878573981 absolute error = 4.294342659250105e-13 relative error = 1.622708723342493e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.109999999999993 y[1] (closed_form) = 2.665338483258279 y[1] (numeric) = 2.665338483257851 absolute error = 4.281019982954604e-13 relative error = 1.60618248295474e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999992 y[1] (closed_form) = 2.684317553723272 y[1] (numeric) = 2.684317553722846 absolute error = 4.2543746303636e-13 relative error = 1.584899902942775e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999991 y[1] (closed_form) = 2.703340192069825 y[1] (numeric) = 2.7033401920694 absolute error = 4.245492846166599e-13 relative error = 1.570461926553172e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999989 y[1] (closed_form) = 2.722405496041622 y[1] (numeric) = 2.722405496041199 absolute error = 4.227729277772596e-13 relative error = 1.552938856434031e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999988 y[1] (closed_form) = 2.74151255911582 y[1] (numeric) = 2.741512559115399 absolute error = 4.209965709378594e-13 relative error = 1.535636120060807e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.159999999999987 y[1] (closed_form) = 2.760660470593702 y[1] (numeric) = 2.760660470593284 absolute error = 4.18332035678759e-13 relative error = 1.51533316079537e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.169999999999986 y[1] (closed_form) = 2.779848315691743 y[1] (numeric) = 2.779848315691327 absolute error = 4.161115896295087e-13 relative error = 1.496885953383261e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.179999999999985 y[1] (closed_form) = 2.79907517563309 y[1] (numeric) = 2.799075175632676 absolute error = 4.134470543704083e-13 relative error = 1.4770844955134e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.189999999999984 y[1] (closed_form) = 2.818340127739436 y[1] (numeric) = 2.818340127739026 absolute error = 4.103384299014579e-13 relative error = 1.455957802476405e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.199999999999983 y[1] (closed_form) = 2.837642245523293 y[1] (numeric) = 2.837642245522885 absolute error = 4.081179838522075e-13 relative error = 1.438229165413859e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999982 y[1] (closed_form) = 2.856980598780634 y[1] (numeric) = 2.856980598780228 absolute error = 4.063416270128073e-13 relative error = 1.422276466232339e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.219999999999981 y[1] (closed_form) = 2.876354253683916 y[1] (numeric) = 2.876354253683512 absolute error = 4.04121180963557e-13 relative error = 1.404977083215585e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.22999999999998 y[1] (closed_form) = 2.895762272875458 y[1] (numeric) = 2.895762272875056 absolute error = 4.014566457044566e-13 relative error = 1.386359127145527e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.239999999999978 y[1] (closed_form) = 2.915203715561182 y[1] (numeric) = 2.915203715560783 absolute error = 3.992361996552063e-13 relative error = 1.369496743998052e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.249999999999977 y[1] (closed_form) = 2.934677637604687 y[1] (numeric) = 2.93467763760429 absolute error = 3.965716643961059e-13 relative error = 1.351329561088664e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.259999999999976 y[1] (closed_form) = 2.954183091621664 y[1] (numeric) = 2.95418309162127 absolute error = 3.947953075567057e-13 relative error = 1.336394175013666e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.269999999999975 y[1] (closed_form) = 2.973719127074633 y[1] (numeric) = 2.97371912707424 absolute error = 3.921307722976053e-13 relative error = 1.318654370304838e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.279999999999974 y[1] (closed_form) = 2.993284790367994 y[1] (numeric) = 2.993284790367603 absolute error = 3.907985046680551e-13 relative error = 1.305584105881253e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.289999999999973 y[1] (closed_form) = 3.012879124943389 y[1] (numeric) = 3.012879124943001 absolute error = 3.885780586188048e-13 relative error = 1.289723359300403e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999972 y[1] (closed_form) = 3.032501171375357 y[1] (numeric) = 3.032501171374971 absolute error = 3.868017017794045e-13 relative error = 1.275520370546056e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.309999999999971 y[1] (closed_form) = 3.052149967467273 y[1] (numeric) = 3.052149967466888 absolute error = 3.841371665203042e-13 relative error = 1.25857893817409e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.31999999999997 y[1] (closed_form) = 3.071824548347567 y[1] (numeric) = 3.071824548347185 absolute error = 3.823608096809039e-13 relative error = 1.24473518478322e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.329999999999969 y[1] (closed_form) = 3.091523946566215 y[1] (numeric) = 3.091523946565835 absolute error = 3.796962744218035e-13 relative error = 1.228184807830895e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999967 y[1] (closed_form) = 3.111247192191476 y[1] (numeric) = 3.111247192191099 absolute error = 3.770317391627032e-13 relative error = 1.211834726951196e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.349999999999966 y[1] (closed_form) = 3.130993312906892 y[1] (numeric) = 3.130993312906517 absolute error = 3.748112931134528e-13 relative error = 1.197100267088941e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.359999999999965 y[1] (closed_form) = 3.150761334108512 y[1] (numeric) = 3.150761334108139 absolute error = 3.730349362740526e-13 relative error = 1.183951739650254e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.369999999999964 y[1] (closed_form) = 3.170550279002356 y[1] (numeric) = 3.170550279001985 absolute error = 3.712585794346523e-13 relative error = 1.170959444779638e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.379999999999963 y[1] (closed_form) = 3.190359168702092 y[1] (numeric) = 3.190359168701723 absolute error = 3.69038133385402e-13 relative error = 1.156729113780424e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.389999999999962 y[1] (closed_form) = 3.210187022326925 y[1] (numeric) = 3.210187022326557 absolute error = 3.677058657558518e-13 relative error = 1.14543440366075e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.399999999999961 y[1] (closed_form) = 3.230032857099681 y[1] (numeric) = 3.230032857099316 absolute error = 3.659295089164516e-13 relative error = 1.132897171965699e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.40999999999996 y[1] (closed_form) = 3.249895688445089 y[1] (numeric) = 3.249895688444726 absolute error = 3.632649736573512e-13 relative error = 1.117774256413612e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.419999999999959 y[1] (closed_form) = 3.269774530088232 y[1] (numeric) = 3.269774530087871 absolute error = 3.606004383982508e-13 relative error = 1.102829675502183e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999958 y[1] (closed_form) = 3.289668394153179 y[1] (numeric) = 3.28966839415282 absolute error = 3.588240815588506e-13 relative error = 1.090760643828414e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.439999999999956 y[1] (closed_form) = 3.309576291261767 y[1] (numeric) = 3.309576291261411 absolute error = 3.561595462997502e-13 relative error = 1.076148470244103e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.449999999999955 y[1] (closed_form) = 3.329497230632544 y[1] (numeric) = 3.32949723063219 absolute error = 3.539391002504999e-13 relative error = 1.063040680719407e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.459999999999954 y[1] (closed_form) = 3.349430220179839 y[1] (numeric) = 3.349430220179487 absolute error = 3.517186542012496e-13 relative error = 1.050085032618966e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.469999999999953 y[1] (closed_form) = 3.369374266612975 y[1] (numeric) = 3.369374266612625 absolute error = 3.499422973618493e-13 relative error = 1.038597287423415e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.479999999999952 y[1] (closed_form) = 3.389328375535595 y[1] (numeric) = 3.389328375535247 absolute error = 3.47277762102749e-13 relative error = 1.024621174535415e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.489999999999951 y[1] (closed_form) = 3.409291551545102 y[1] (numeric) = 3.409291551544757 absolute error = 3.446132268436486e-13 relative error = 1.010805974301226e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.49999999999995 y[1] (closed_form) = 3.429262798332197 y[1] (numeric) = 3.429262798331854 absolute error = 3.423927807943983e-13 relative error = 9.98444274847991e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999949 y[1] (closed_form) = 3.449241118780511 y[1] (numeric) = 3.449241118780172 absolute error = 3.397282455352979e-13 relative error = 9.849362043306783e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.519999999999948 y[1] (closed_form) = 3.469225515066316 y[1] (numeric) = 3.469225515065979 absolute error = 3.370637102761975e-13 relative error = 9.715820110637991e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.529999999999947 y[1] (closed_form) = 3.489214988758302 y[1] (numeric) = 3.489214988757967 absolute error = 3.348432642269472e-13 relative error = 9.596521432636257e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.539999999999945 y[1] (closed_form) = 3.509208540917425 y[1] (numeric) = 3.509208540917092 absolute error = 3.326228181776969e-13 relative error = 9.478570860047494e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.549999999999944 y[1] (closed_form) = 3.529205172196796 y[1] (numeric) = 3.529205172196465 absolute error = 3.308464613382966e-13 relative error = 9.374531805198429e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.559999999999943 y[1] (closed_form) = 3.549203882941619 y[1] (numeric) = 3.54920388294129 absolute error = 3.290701044988964e-13 relative error = 9.271659655295979e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.569999999999942 y[1] (closed_form) = 3.569203673289151 y[1] (numeric) = 3.569203673288824 absolute error = 3.272937476594961e-13 relative error = 9.169937544020375e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.579999999999941 y[1] (closed_form) = 3.58920354326869 y[1] (numeric) = 3.589203543268365 absolute error = 3.250733016102458e-13 relative error = 9.056975947209763e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.58999999999994 y[1] (closed_form) = 3.609202492901572 y[1] (numeric) = 3.60920249290125 absolute error = 3.224087663511455e-13 relative error = 8.932964193204607e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.599999999999939 y[1] (closed_form) = 3.629199522301166 y[1] (numeric) = 3.629199522300846 absolute error = 3.197442310920451e-13 relative error = 8.810323850403928e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.609999999999938 y[1] (closed_form) = 3.649193631772863 y[1] (numeric) = 3.649193631772546 absolute error = 3.175237850427948e-13 relative error = 8.701204076379315e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.619999999999937 y[1] (closed_form) = 3.669183821914044 y[1] (numeric) = 3.669183821913728 absolute error = 3.161915174132446e-13 relative error = 8.617489140903877e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.629999999999936 y[1] (closed_form) = 3.689169093714019 y[1] (numeric) = 3.689169093713705 absolute error = 3.139710713639943e-13 relative error = 8.510617523576516e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.639999999999934 y[1] (closed_form) = 3.709148448653931 y[1] (numeric) = 3.709148448653619 absolute error = 3.113065361048939e-13 relative error = 8.392938174741123e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.649999999999933 y[1] (closed_form) = 3.729120888806601 y[1] (numeric) = 3.729120888806292 absolute error = 3.090860900556436e-13 relative error = 8.288443825551544e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.659999999999932 y[1] (closed_form) = 3.749085416936324 y[1] (numeric) = 3.749085416936016 absolute error = 3.073097332162433e-13 relative error = 8.196925357528145e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.669999999999931 y[1] (closed_form) = 3.76904103659859 y[1] (numeric) = 3.769041036598286 absolute error = 3.04645197957143e-13 relative error = 8.082830486559868e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.67999999999993 y[1] (closed_form) = 3.788986752239732 y[1] (numeric) = 3.788986752239429 absolute error = 3.028688411177427e-13 relative error = 7.993399315495415e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.689999999999929 y[1] (closed_form) = 3.808921569296471 y[1] (numeric) = 3.80892156929617 absolute error = 3.002043058586423e-13 relative error = 7.881609017065997e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.699999999999928 y[1] (closed_form) = 3.828844494295381 y[1] (numeric) = 3.828844494295083 absolute error = 2.97539770599542e-13 relative error = 7.771006919786069e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.709999999999927 y[1] (closed_form) = 3.848754534952232 y[1] (numeric) = 3.848754534951937 absolute error = 2.953193245502916e-13 relative error = 7.673114039057753e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.719999999999926 y[1] (closed_form) = 3.868650700271216 y[1] (numeric) = 3.868650700270923 absolute error = 2.930988785010413e-13 relative error = 7.576255940617573e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.729999999999924 y[1] (closed_form) = 3.888532000644048 y[1] (numeric) = 3.888532000643757 absolute error = 2.90434343241941e-13 relative error = 7.468997122663181e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.739999999999923 y[1] (closed_form) = 3.908397447948925 y[1] (numeric) = 3.908397447948636 absolute error = 2.886579864025407e-13 relative error = 7.385584251520392e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.749999999999922 y[1] (closed_form) = 3.928246055649338 y[1] (numeric) = 3.928246055649052 absolute error = 2.855493619335903e-13 relative error = 7.269131258285934e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.759999999999921 y[1] (closed_form) = 3.948076838892724 y[1] (numeric) = 3.948076838892441 absolute error = 2.833289158843399e-13 relative error = 7.176377954280197e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.76999999999992 y[1] (closed_form) = 3.967888814608951 y[1] (numeric) = 3.96788881460867 absolute error = 2.806643806252396e-13 relative error = 7.073393276341087e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.779999999999919 y[1] (closed_form) = 3.987681001608624 y[1] (numeric) = 3.987681001608344 absolute error = 2.793321129956894e-13 relative error = 7.004876089210929e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.789999999999918 y[1] (closed_form) = 4.007452420681203 y[1] (numeric) = 4.007452420680925 absolute error = 2.771116669464391e-13 relative error = 6.914908471934759e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.799999999999917 y[1] (closed_form) = 4.027202094692923 y[1] (numeric) = 4.027202094692648 absolute error = 2.744471316873387e-13 relative error = 6.814833853235406e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.809999999999916 y[1] (closed_form) = 4.046929048684508 y[1] (numeric) = 4.046929048684237 absolute error = 2.717825964282383e-13 relative error = 6.715773693057054e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.819999999999915 y[1] (closed_form) = 4.066632309968666 y[1] (numeric) = 4.066632309968395 absolute error = 2.708944180085382e-13 relative error = 6.661394425664844e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.829999999999913 y[1] (closed_form) = 4.086310908227352 y[1] (numeric) = 4.086310908227084 absolute error = 2.682298827494378e-13 relative error = 6.564108526577982e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.839999999999912 y[1] (closed_form) = 4.105963875608808 y[1] (numeric) = 4.105963875608542 absolute error = 2.655653474903374e-13 relative error = 6.467795517342709e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.849999999999911 y[1] (closed_form) = 4.12559024682434 y[1] (numeric) = 4.125590246824075 absolute error = 2.646771690706373e-13 relative error = 6.415498225359917e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.85999999999991 y[1] (closed_form) = 4.145189059244845 y[1] (numeric) = 4.145189059244585 absolute error = 2.602362769721367e-13 relative error = 6.278031550617515e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.869999999999909 y[1] (closed_form) = 4.164759352997083 y[1] (numeric) = 4.164759352996826 absolute error = 2.575717417130363e-13 relative error = 6.184552812821709e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.879999999999908 y[1] (closed_form) = 4.184300171059654 y[1] (numeric) = 4.184300171059399 absolute error = 2.549072064539359e-13 relative error = 6.091991397198971e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.889999999999907 y[1] (closed_form) = 4.203810559358701 y[1] (numeric) = 4.203810559358447 absolute error = 2.531308496145357e-13 relative error = 6.021461862761753e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.899999999999906 y[1] (closed_form) = 4.22328956686332 y[1] (numeric) = 4.223289566863068 absolute error = 2.522426711948356e-13 relative error = 5.972658687057036e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.909999999999905 y[1] (closed_form) = 4.242736245680661 y[1] (numeric) = 4.24273624568041 absolute error = 2.504663143554353e-13 relative error = 5.903414679864293e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.919999999999904 y[1] (closed_form) = 4.262149651150711 y[1] (numeric) = 4.262149651150462 absolute error = 2.486899575160351e-13 relative error = 5.834848090068654e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.929999999999902 y[1] (closed_form) = 4.281528841940771 y[1] (numeric) = 4.281528841940525 absolute error = 2.460254222569347e-13 relative error = 5.746204950132113e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.939999999999901 y[1] (closed_form) = 4.300872880139577 y[1] (numeric) = 4.300872880139333 absolute error = 2.442490654175344e-13 relative error = 5.679058001119246e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9499999999999 y[1] (closed_form) = 4.320180831351095 y[1] (numeric) = 4.320180831350853 absolute error = 2.424727085781342e-13 relative error = 5.612559243319988e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999899 y[1] (closed_form) = 4.33945176478796 y[1] (numeric) = 4.33945176478772 absolute error = 2.406963517387339e-13 relative error = 5.546699555271935e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999898 y[1] (closed_form) = 4.358684753364557 y[1] (numeric) = 4.358684753364317 absolute error = 2.398081733190338e-13 relative error = 5.501847160061783e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999897 y[1] (closed_form) = 4.377878873789719 y[1] (numeric) = 4.377878873789482 absolute error = 2.371436380599334e-13 relative error = 5.416861564619983e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999896 y[1] (closed_form) = 4.397033206659066 y[1] (numeric) = 4.397033206658832 absolute error = 2.344791028008331e-13 relative error = 5.332666181500001e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999895 y[1] (closed_form) = 4.416146836546941 y[1] (numeric) = 4.41614683654671 absolute error = 2.309263891220326e-13 relative error = 5.229137473666925e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.009999999999894 y[1] (closed_form) = 4.43521885209795 y[1] (numeric) = 4.43521885209772 absolute error = 2.300382107023324e-13 relative error = 5.186625922495788e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999893 y[1] (closed_form) = 4.454248346118096 y[1] (numeric) = 4.454248346117869 absolute error = 2.264854970235319e-13 relative error = 5.084707439380101e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999891 y[1] (closed_form) = 4.473234415665504 y[1] (numeric) = 4.473234415665279 absolute error = 2.247091401841317e-13 relative error = 5.023415258480271e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.03999999999989 y[1] (closed_form) = 4.492176162140705 y[1] (numeric) = 4.492176162140483 absolute error = 2.220446049250313e-13 relative error = 4.942918463358258e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999889 y[1] (closed_form) = 4.511072691376504 y[1] (numeric) = 4.511072691376285 absolute error = 2.193800696659309e-13 relative error = 4.863146410504627e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999888 y[1] (closed_form) = 4.529923113727392 y[1] (numeric) = 4.529923113727175 absolute error = 2.167155344068306e-13 relative error = 4.784088580887829e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999887 y[1] (closed_form) = 4.548726544158508 y[1] (numeric) = 4.548726544158295 absolute error = 2.131628207280301e-13 relative error = 4.686208736855694e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.079999999999886 y[1] (closed_form) = 4.567482102334146 y[1] (numeric) = 4.567482102333933 absolute error = 2.122746423083299e-13 relative error = 4.64751995853142e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.089999999999885 y[1] (closed_form) = 4.586188912705784 y[1] (numeric) = 4.586188912705573 absolute error = 2.104982854689297e-13 relative error = 4.589830237602201e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.099999999999884 y[1] (closed_form) = 4.604846104599641 y[1] (numeric) = 4.604846104599433 absolute error = 2.078337502098293e-13 relative error = 4.513370164580103e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999883 y[1] (closed_form) = 4.623452812303741 y[1] (numeric) = 4.623452812303536 absolute error = 2.051692149507289e-13 relative error = 4.43757562323857e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999882 y[1] (closed_form) = 4.642008175154487 y[1] (numeric) = 4.642008175154285 absolute error = 2.025046796916286e-13 relative error = 4.362436946481447e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.12999999999988 y[1] (closed_form) = 4.660511337622724 y[1] (numeric) = 4.660511337622522 absolute error = 2.016165012719284e-13 relative error = 4.326059667409173e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.139999999999879 y[1] (closed_form) = 4.678961449399289 y[1] (numeric) = 4.678961449399091 absolute error = 1.980637875931279e-13 relative error = 4.2330715851176e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.149999999999878 y[1] (closed_form) = 4.697357665480047 y[1] (numeric) = 4.697357665479851 absolute error = 1.962874307537277e-13 relative error = 4.178677561562007e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.159999999999877 y[1] (closed_form) = 4.715699146250388 y[1] (numeric) = 4.715699146250195 absolute error = 1.927347170749272e-13 relative error = 4.087086794503782e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.169999999999876 y[1] (closed_form) = 4.733985057569184 y[1] (numeric) = 4.733985057568993 absolute error = 1.909583602355269e-13 relative error = 4.033776150818284e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.179999999999875 y[1] (closed_form) = 4.752214570852209 y[1] (numeric) = 4.75221457085202 absolute error = 1.882938249764265e-13 relative error = 3.962233231877407e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.189999999999874 y[1] (closed_form) = 4.770386863154993 y[1] (numeric) = 4.770386863154805 absolute error = 1.882938249764265e-13 relative error = 3.947139516728724e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.199999999999873 y[1] (closed_form) = 4.788501117255116 y[1] (numeric) = 4.788501117254929 absolute error = 1.865174681370263e-13 relative error = 3.895111718047224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.209999999999872 y[1] (closed_form) = 4.806556521733929 y[1] (numeric) = 4.806556521733745 absolute error = 1.838529328779259e-13 relative error = 3.825044645716605e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.219999999999871 y[1] (closed_form) = 4.824552271057697 y[1] (numeric) = 4.824552271057514 absolute error = 1.829647544582258e-13 relative error = 3.792367543737153e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.229999999999869 y[1] (closed_form) = 4.842487565658152 y[1] (numeric) = 4.84248756565797 absolute error = 1.811883976188255e-13 relative error = 3.741638882126895e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.239999999999868 y[1] (closed_form) = 4.860361612012445 y[1] (numeric) = 4.860361612012266 absolute error = 1.794120407794253e-13 relative error = 3.691331121042644e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.249999999999867 y[1] (closed_form) = 4.878173622722503 y[1] (numeric) = 4.878173622722326 absolute error = 1.77635683940025e-13 relative error = 3.641438326684379e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.259999999999866 y[1] (closed_form) = 4.895922816593766 y[1] (numeric) = 4.895922816593591 absolute error = 1.749711486809247e-13 relative error = 3.573813461435594e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.269999999999865 y[1] (closed_form) = 4.913608418713302 y[1] (numeric) = 4.913608418713128 absolute error = 1.740829702612245e-13 relative error = 3.542874307977733e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.279999999999864 y[1] (closed_form) = 4.931229660527306 y[1] (numeric) = 4.931229660527134 absolute error = 1.714184350021242e-13 relative error = 3.476180320179897e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.289999999999863 y[1] (closed_form) = 4.948785779917948 y[1] (numeric) = 4.948785779917777 absolute error = 1.70530256582424e-13 relative error = 3.445900957653727e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.299999999999862 y[1] (closed_form) = 4.966276021279583 y[1] (numeric) = 4.966276021279414 absolute error = 1.687538997430238e-13 relative error = 3.397996789142292e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.309999999999861 y[1] (closed_form) = 4.983699635594318 y[1] (numeric) = 4.983699635594152 absolute error = 1.660893644839234e-13 relative error = 3.332651978014258e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.31999999999986 y[1] (closed_form) = 5.001055880506909 y[1] (numeric) = 5.001055880506746 absolute error = 1.63424829224823e-13 relative error = 3.267806501859328e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.329999999999858 y[1] (closed_form) = 5.018344020398994 y[1] (numeric) = 5.018344020398833 absolute error = 1.607602939657227e-13 relative error = 3.203453037740149e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.339999999999857 y[1] (closed_form) = 5.035563326462658 y[1] (numeric) = 5.035563326462497 absolute error = 1.607602939657227e-13 relative error = 3.192498704581922e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.349999999999856 y[1] (closed_form) = 5.052713076773308 y[1] (numeric) = 5.052713076773148 absolute error = 1.607602939657227e-13 relative error = 3.181662831889618e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.359999999999855 y[1] (closed_form) = 5.069792556361874 y[1] (numeric) = 5.069792556361715 absolute error = 1.589839371263224e-13 relative error = 3.135906161028621e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.369999999999854 y[1] (closed_form) = 5.086801057286295 y[1] (numeric) = 5.086801057286138 absolute error = 1.572075802869222e-13 relative error = 3.090499874410052e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.379999999999853 y[1] (closed_form) = 5.10373787870232 y[1] (numeric) = 5.103737878702164 absolute error = 1.56319401867222e-13 relative error = 3.062841501314874e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.389999999999852 y[1] (closed_form) = 5.120602326933588 y[1] (numeric) = 5.120602326933433 absolute error = 1.545430450278218e-13 relative error = 3.018063797201141e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.399999999999851 y[1] (closed_form) = 5.137393715540995 y[1] (numeric) = 5.137393715540843 absolute error = 1.518785097687214e-13 relative error = 2.956333856781849e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.40999999999985 y[1] (closed_form) = 5.154111365391342 y[1] (numeric) = 5.154111365391191 absolute error = 1.501021529293212e-13 relative error = 2.912279970068598e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.419999999999848 y[1] (closed_form) = 5.170754604725239 y[1] (numeric) = 5.170754604725091 absolute error = 1.483257960899209e-13 relative error = 2.868552221650104e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.429999999999847 y[1] (closed_form) = 5.187322769224291 y[1] (numeric) = 5.187322769224144 absolute error = 1.474376176702208e-13 relative error = 2.84226804903965e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.439999999999846 y[1] (closed_form) = 5.203815202077521 y[1] (numeric) = 5.203815202077375 absolute error = 1.465494392505207e-13 relative error = 2.816192227426017e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.449999999999845 y[1] (closed_form) = 5.220231254047054 y[1] (numeric) = 5.220231254046909 absolute error = 1.447730824111204e-13 relative error = 2.773307835718641e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.459999999999844 y[1] (closed_form) = 5.236570283533039 y[1] (numeric) = 5.236570283532896 absolute error = 1.429967255717202e-13 relative error = 2.730732480023973e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.469999999999843 y[1] (closed_form) = 5.25283165663781 y[1] (numeric) = 5.25283165663767 absolute error = 1.403321903126198e-13 relative error = 2.671553163811887e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.479999999999842 y[1] (closed_form) = 5.269014747229276 y[1] (numeric) = 5.269014747229138 absolute error = 1.385558334732195e-13 relative error = 2.62963457344809e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.489999999999841 y[1] (closed_form) = 5.285118937003528 y[1] (numeric) = 5.285118937003392 absolute error = 1.358912982141192e-13 relative error = 2.571206056739465e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.49999999999984 y[1] (closed_form) = 5.301143615546677 y[1] (numeric) = 5.301143615546543 absolute error = 1.341149413747189e-13 relative error = 2.529924693634024e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.509999999999839 y[1] (closed_form) = 5.317088180395889 y[1] (numeric) = 5.317088180395757 absolute error = 1.323385845353187e-13 relative error = 2.488929655582e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.519999999999837 y[1] (closed_form) = 5.332952037099632 y[1] (numeric) = 5.332952037099502 absolute error = 1.305622276959184e-13 relative error = 2.448216799769414e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.529999999999836 y[1] (closed_form) = 5.348734599277124 y[1] (numeric) = 5.348734599276995 absolute error = 1.287858708565182e-13 relative error = 2.407782036407704e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.539999999999835 y[1] (closed_form) = 5.364435288676964 y[1] (numeric) = 5.364435288676836 absolute error = 1.287858708565182e-13 relative error = 2.400734912924651e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.549999999999834 y[1] (closed_form) = 5.380053535234964 y[1] (numeric) = 5.380053535234836 absolute error = 1.27897692436818e-13 relative error = 2.377256872988204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.559999999999833 y[1] (closed_form) = 5.395588777131149 y[1] (numeric) = 5.395588777131021 absolute error = 1.27897692436818e-13 relative error = 2.370412159260618e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.569999999999832 y[1] (closed_form) = 5.411040460845943 y[1] (numeric) = 5.411040460845816 absolute error = 1.261213355974178e-13 relative error = 2.330814868416275e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.579999999999831 y[1] (closed_form) = 5.426408041215517 y[1] (numeric) = 5.426408041215393 absolute error = 1.234568003383174e-13 relative error = 2.275110891046503e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.58999999999983 y[1] (closed_form) = 5.441690981486307 y[1] (numeric) = 5.441690981486183 absolute error = 1.234568003383174e-13 relative error = 2.268721262532943e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.599999999999829 y[1] (closed_form) = 5.456888753368688 y[1] (numeric) = 5.456888753368569 absolute error = 1.190159082398168e-13 relative error = 2.181021340527512e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.609999999999828 y[1] (closed_form) = 5.472000837089803 y[1] (numeric) = 5.472000837089686 absolute error = 1.172395514004165e-13 relative error = 2.142535333798825e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.619999999999826 y[1] (closed_form) = 5.487026721445542 y[1] (numeric) = 5.487026721445426 absolute error = 1.154631945610163e-13 relative error = 2.104294373303103e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.629999999999825 y[1] (closed_form) = 5.501965903851657 y[1] (numeric) = 5.501965903851542 absolute error = 1.145750161413162e-13 relative error = 2.082437771217517e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.639999999999824 y[1] (closed_form) = 5.516817890394021 y[1] (numeric) = 5.516817890393908 absolute error = 1.127986593019159e-13 relative error = 2.044632640463316e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.649999999999823 y[1] (closed_form) = 5.531582195878025 y[1] (numeric) = 5.531582195877912 absolute error = 1.127986593019159e-13 relative error = 2.039175326472961e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.659999999999822 y[1] (closed_form) = 5.546258343877092 y[1] (numeric) = 5.54625834387698 absolute error = 1.119104808822158e-13 relative error = 2.017765382417891e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.669999999999821 y[1] (closed_form) = 5.560845866780316 y[1] (numeric) = 5.560845866780208 absolute error = 1.074695887837152e-13 relative error = 1.932612256450459e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.67999999999982 y[1] (closed_form) = 5.575344305839232 y[1] (numeric) = 5.575344305839125 absolute error = 1.06581410364015e-13 relative error = 1.911656115163847e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.689999999999819 y[1] (closed_form) = 5.589753211213681 y[1] (numeric) = 5.589753211213576 absolute error = 1.048050535246148e-13 relative error = 1.874949565114322e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.699999999999818 y[1] (closed_form) = 5.6040721420168 y[1] (numeric) = 5.604072142016697 absolute error = 1.030286966852145e-13 relative error = 1.838461284478334e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.709999999999817 y[1] (closed_form) = 5.61830066635911 y[1] (numeric) = 5.618300666359008 absolute error = 1.021405182655144e-13 relative error = 1.817996656481998e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.719999999999815 y[1] (closed_form) = 5.632438361391698 y[1] (numeric) = 5.632438361391597 absolute error = 1.003641614261142e-13 relative error = 1.781895424086196e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.729999999999814 y[1] (closed_form) = 5.646484813348509 y[1] (numeric) = 5.646484813348411 absolute error = 9.85878045867139e-14 relative error = 1.746003183319443e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.739999999999813 y[1] (closed_form) = 5.660439617587721 y[1] (numeric) = 5.660439617587626 absolute error = 9.50350909079134e-14 relative error = 1.678934805922618e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.749999999999812 y[1] (closed_form) = 5.674302378632204 y[1] (numeric) = 5.67430237863211 absolute error = 9.414691248821327e-14 relative error = 1.659180392690096e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.759999999999811 y[1] (closed_form) = 5.688072710209074 y[1] (numeric) = 5.688072710208981 absolute error = 9.325873406851315e-14 relative error = 1.639548909090603e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.76999999999981 y[1] (closed_form) = 5.701750235288314 y[1] (numeric) = 5.701750235288223 absolute error = 9.059419880941277e-14 relative error = 1.588884028078298e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.779999999999809 y[1] (closed_form) = 5.715334586120481 y[1] (numeric) = 5.715334586120392 absolute error = 8.881784197001252e-14 relative error = 1.554026988825886e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.789999999999808 y[1] (closed_form) = 5.728825404273477 y[1] (numeric) = 5.728825404273391 absolute error = 8.615330671091215e-14 relative error = 1.503856386453062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.799999999999807 y[1] (closed_form) = 5.7422223406684 y[1] (numeric) = 5.742222340668315 absolute error = 8.526512829121202e-14 relative error = 1.484880299519839e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.809999999999806 y[1] (closed_form) = 5.755525055614438 y[1] (numeric) = 5.755525055614355 absolute error = 8.260059303211165e-14 relative error = 1.435153043970087e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.819999999999804 y[1] (closed_form) = 5.76873321884285 y[1] (numeric) = 5.768733218842769 absolute error = 8.08242361927114e-14 relative error = 1.401074258880773e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.829999999999803 y[1] (closed_form) = 5.781846509539985 y[1] (numeric) = 5.781846509539906 absolute error = 7.904787935331115e-14 relative error = 1.367173604883543e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.839999999999802 y[1] (closed_form) = 5.794864616379369 y[1] (numeric) = 5.794864616379291 absolute error = 7.815970093361102e-14 relative error = 1.348775270999259e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.849999999999801 y[1] (closed_form) = 5.807787237552834 y[1] (numeric) = 5.807787237552756 absolute error = 7.72715225139109e-14 relative error = 1.3304812892297e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.8599999999998 y[1] (closed_form) = 5.820614080800697 y[1] (numeric) = 5.82061408080062 absolute error = 7.638334409421077e-14 relative error = 1.312290130111208e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.869999999999799 y[1] (closed_form) = 5.833344863440988 y[1] (numeric) = 5.833344863440913 absolute error = 7.549516567451064e-14 relative error = 1.294200282031283e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.879999999999798 y[1] (closed_form) = 5.84597931239772 y[1] (numeric) = 5.845979312397648 absolute error = 7.194245199571014e-14 relative error = 1.230631313442043e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.889999999999797 y[1] (closed_form) = 5.858517164228193 y[1] (numeric) = 5.858517164228122 absolute error = 7.105427357601002e-14 relative error = 1.212837166542138e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.899999999999796 y[1] (closed_form) = 5.870958165149338 y[1] (numeric) = 5.870958165149267 absolute error = 7.016609515630989e-14 relative error = 1.195138735152699e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.909999999999795 y[1] (closed_form) = 5.883302071063095 y[1] (numeric) = 5.883302071063028 absolute error = 6.750155989720952e-14 relative error = 1.147341392331606e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.919999999999793 y[1] (closed_form) = 5.895548647580831 y[1] (numeric) = 5.895548647580764 absolute error = 6.750155989720952e-14 relative error = 1.144958068065607e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.929999999999792 y[1] (closed_form) = 5.907697670046762 y[1] (numeric) = 5.907697670046696 absolute error = 6.572520305780927e-14 relative error = 1.112534979422686e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.939999999999791 y[1] (closed_form) = 5.919748923560434 y[1] (numeric) = 5.91974892356037 absolute error = 6.394884621840902e-14 relative error = 1.080262812564472e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.94999999999979 y[1] (closed_form) = 5.931702202998204 y[1] (numeric) = 5.931702202998141 absolute error = 6.306066779870889e-14 relative error = 1.063112503639084e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.959999999999789 y[1] (closed_form) = 5.943557313033757 y[1] (numeric) = 5.943557313033697 absolute error = 6.039613253960852e-14 relative error = 1.016161355206662e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.969999999999788 y[1] (closed_form) = 5.955314068157636 y[1] (numeric) = 5.955314068157576 absolute error = 5.950795411990839e-14 relative error = 9.992412396533446e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.979999999999787 y[1] (closed_form) = 5.96697229269579 y[1] (numeric) = 5.966972292695731 absolute error = 5.861977570020827e-14 relative error = 9.824040204102359e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.989999999999786 y[1] (closed_form) = 5.978531820827149 y[1] (numeric) = 5.978531820827092 absolute error = 5.684341886080801e-14 relative error = 9.507922775084193e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.999999999999785 y[1] (closed_form) = 5.9899924966002 y[1] (numeric) = 5.989992496600142 absolute error = 5.773159728050814e-14 relative error = 9.638008280189906e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.009999999999784 y[1] (closed_form) = 6.001354173948581 y[1] (numeric) = 6.001354173948526 absolute error = 5.506706202140776e-14 relative error = 9.175772738167939e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.019999999999782 y[1] (closed_form) = 6.012616716705693 y[1] (numeric) = 6.01261671670564 absolute error = 5.329070518200751e-14 relative error = 8.863146894752579e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.029999999999781 y[1] (closed_form) = 6.023779998618313 y[1] (numeric) = 6.02377999861826 absolute error = 5.240252676230739e-14 relative error = 8.699276330531173e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.03999999999978 y[1] (closed_form) = 6.034843903359217 y[1] (numeric) = 6.034843903359166 absolute error = 5.151434834260726e-14 relative error = 8.536152577854164e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.049999999999779 y[1] (closed_form) = 6.04580832453882 y[1] (numeric) = 6.045808324538769 absolute error = 5.062616992290714e-14 relative error = 8.373763640078508e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.059999999999778 y[1] (closed_form) = 6.056673165715806 y[1] (numeric) = 6.056673165715757 absolute error = 4.973799150320701e-14 relative error = 8.212097655318791e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.069999999999777 y[1] (closed_form) = 6.067438340406779 y[1] (numeric) = 6.06743834040673 absolute error = 4.884981308350689e-14 relative error = 8.05114289471821e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.079999999999776 y[1] (closed_form) = 6.078103772094908 y[1] (numeric) = 6.078103772094861 absolute error = 4.707345624410664e-14 relative error = 7.744760209627366e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.089999999999775 y[1] (closed_form) = 6.088669394237577 y[1] (numeric) = 6.08866939423753 absolute error = 4.707345624410664e-14 relative error = 7.73132078556569e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.099999999999774 y[1] (closed_form) = 6.099135150273044 y[1] (numeric) = 6.099135150272999 absolute error = 4.529709940470639e-14 relative error = 7.4268069633903e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.109999999999773 y[1] (closed_form) = 6.109500993626093 y[1] (numeric) = 6.109500993626049 absolute error = 4.440892098500626e-14 relative error = 7.268829488911959e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.119999999999771 y[1] (closed_form) = 6.119766887712695 y[1] (numeric) = 6.119766887712652 absolute error = 4.263256414560601e-14 relative error = 6.966370603299275e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.12999999999977 y[1] (closed_form) = 6.129932805943662 y[1] (numeric) = 6.129932805943619 absolute error = 4.352074256530614e-14 relative error = 7.099709563391602e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.139999999999769 y[1] (closed_form) = 6.139998731727308 y[1] (numeric) = 6.139998731727268 absolute error = 3.996802888650564e-14 relative error = 6.509452303300689e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.149999999999768 y[1] (closed_form) = 6.149964658471112 y[1] (numeric) = 6.149964658471074 absolute error = 3.819167204710538e-14 relative error = 6.210063661829217e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.159999999999767 y[1] (closed_form) = 6.15983058958237 y[1] (numeric) = 6.159830589582334 absolute error = 3.641531520770513e-14 relative error = 5.911739726948246e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.169999999999766 y[1] (closed_form) = 6.169596538467859 y[1] (numeric) = 6.169596538467823 absolute error = 3.641531520770513e-14 relative error = 5.902381943560351e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.179999999999765 y[1] (closed_form) = 6.179262528532495 y[1] (numeric) = 6.17926252853246 absolute error = 3.463895836830488e-14 relative error = 5.605678381256808e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.189999999999764 y[1] (closed_form) = 6.188828593176994 y[1] (numeric) = 6.18882859317696 absolute error = 3.375077994860476e-14 relative error = 5.453500519599787e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.199999999999763 y[1] (closed_form) = 6.19829477579453 y[1] (numeric) = 6.198294775794496 absolute error = 3.375077994860476e-14 relative error = 5.445171804414289e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.209999999999761 y[1] (closed_form) = 6.207661129766395 y[1] (numeric) = 6.207661129766362 absolute error = 3.286260152890463e-14 relative error = 5.293878135732146e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.21999999999976 y[1] (closed_form) = 6.216927718456667 y[1] (numeric) = 6.216927718456634 absolute error = 3.286260152890463e-14 relative error = 5.285987390740112e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.229999999999759 y[1] (closed_form) = 6.226094615205861 y[1] (numeric) = 6.22609461520583 absolute error = 3.108624468950438e-14 relative error = 4.992896287438854e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.239999999999758 y[1] (closed_form) = 6.235161903323613 y[1] (numeric) = 6.235161903323583 absolute error = 3.019806626980426e-14 relative error = 4.843188795740391e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.249999999999757 y[1] (closed_form) = 6.24412967608033 y[1] (numeric) = 6.244129676080301 absolute error = 2.842170943040401e-14 relative error = 4.551748747192157e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.259999999999756 y[1] (closed_form) = 6.252998036697877 y[1] (numeric) = 6.25299803669785 absolute error = 2.753353101070388e-14 relative error = 4.403252783562997e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.269999999999755 y[1] (closed_form) = 6.261767098339251 y[1] (numeric) = 6.261767098339223 absolute error = 2.842170943040401e-14 relative error = 4.538927907098625e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.279999999999754 y[1] (closed_form) = 6.270436984097261 y[1] (numeric) = 6.270436984097234 absolute error = 2.664535259100376e-14 relative error = 4.249361353695164e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.289999999999753 y[1] (closed_form) = 6.279007826982222 y[1] (numeric) = 6.279007826982196 absolute error = 2.664535259100376e-14 relative error = 4.243560977341524e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.299999999999752 y[1] (closed_form) = 6.287479769908655 y[1] (numeric) = 6.28747976990863 absolute error = 2.486899575160351e-14 relative error = 3.955320201684689e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.30999999999975 y[1] (closed_form) = 6.295852965680995 y[1] (numeric) = 6.29585296568097 absolute error = 2.486899575160351e-14 relative error = 3.950059807172377e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.319999999999749 y[1] (closed_form) = 6.304127576978308 y[1] (numeric) = 6.304127576978285 absolute error = 2.309263891220326e-14 relative error = 3.663098284453185e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.329999999999748 y[1] (closed_form) = 6.312303776338027 y[1] (numeric) = 6.312303776338005 absolute error = 2.131628207280301e-14 relative error = 3.376941736027995e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.339999999999747 y[1] (closed_form) = 6.320381746138696 y[1] (numeric) = 6.320381746138676 absolute error = 2.042810365310288e-14 relative error = 3.232099653724714e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.349999999999746 y[1] (closed_form) = 6.328361678581732 y[1] (numeric) = 6.328361678581714 absolute error = 1.865174681370263e-14 relative error = 2.947326300396081e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.359999999999745 y[1] (closed_form) = 6.336243775672211 y[1] (numeric) = 6.336243775672192 absolute error = 1.865174681370263e-14 relative error = 2.943659914934991e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.369999999999744 y[1] (closed_form) = 6.344028249198654 y[1] (numeric) = 6.344028249198637 absolute error = 1.77635683940025e-14 relative error = 2.800045601349002e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.379999999999743 y[1] (closed_form) = 6.351715320711866 y[1] (numeric) = 6.351715320711848 absolute error = 1.77635683940025e-14 relative error = 2.796656886696185e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.389999999999742 y[1] (closed_form) = 6.359305221502765 y[1] (numeric) = 6.359305221502749 absolute error = 1.598721155460225e-14 relative error = 2.513987141322385e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.399999999999741 y[1] (closed_form) = 6.366798192579267 y[1] (numeric) = 6.366798192579251 absolute error = 1.598721155460225e-14 relative error = 2.511028474757677e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.409999999999739 y[1] (closed_form) = 6.374194484642175 y[1] (numeric) = 6.374194484642159 absolute error = 1.598721155460225e-14 relative error = 2.508114804642601e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.419999999999738 y[1] (closed_form) = 6.38149435806011 y[1] (numeric) = 6.381494358060094 absolute error = 1.509903313490213e-14 relative error = 2.366065420998356e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.429999999999737 y[1] (closed_form) = 6.388698082843481 y[1] (numeric) = 6.388698082843466 absolute error = 1.509903313490213e-14 relative error = 2.363397509024539e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.439999999999736 y[1] (closed_form) = 6.39580593861748 y[1] (numeric) = 6.395805938617467 absolute error = 1.332267629550188e-14 relative error = 2.083033228863369e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.449999999999735 y[1] (closed_form) = 6.40281821459412 y[1] (numeric) = 6.402818214594107 absolute error = 1.332267629550188e-14 relative error = 2.08075192032395e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.459999999999734 y[1] (closed_form) = 6.409735209543314 y[1] (numeric) = 6.4097352095433 absolute error = 1.332267629550188e-14 relative error = 2.078506499873199e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.469999999999733 y[1] (closed_form) = 6.416557231762996 y[1] (numeric) = 6.416557231762983 absolute error = 1.243449787580175e-14 relative error = 1.937876874883774e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.479999999999732 y[1] (closed_form) = 6.423284599048296 y[1] (numeric) = 6.423284599048285 absolute error = 1.06581410364015e-14 relative error = 1.659297649364729e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.489999999999731 y[1] (closed_form) = 6.429917638659761 y[1] (numeric) = 6.429917638659751 absolute error = 1.06581410364015e-14 relative error = 1.657585934276922e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.49999999999973 y[1] (closed_form) = 6.436456687290621 y[1] (numeric) = 6.436456687290612 absolute error = 8.881784197001252e-15 relative error = 1.379918273129866e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.509999999999728 y[1] (closed_form) = 6.44290209103313 y[1] (numeric) = 6.442902091033122 absolute error = 7.993605777301127e-15 relative error = 1.240684037155582e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.519999999999727 y[1] (closed_form) = 6.449254205343951 y[1] (numeric) = 6.449254205343943 absolute error = 7.993605777301127e-15 relative error = 1.239462040537571e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.529999999999726 y[1] (closed_form) = 6.455513395008614 y[1] (numeric) = 6.455513395008607 absolute error = 7.105427357601002e-15 relative error = 1.100675798007777e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.539999999999725 y[1] (closed_form) = 6.461680034105035 y[1] (numeric) = 6.461680034105029 absolute error = 5.329070518200751e-15 relative error = 8.247190343801736e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.549999999999724 y[1] (closed_form) = 6.467754505966109 y[1] (numeric) = 6.467754505966105 absolute error = 4.440892098500626e-15 relative error = 6.866203864732611e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.559999999999723 y[1] (closed_form) = 6.473737203141381 y[1] (numeric) = 6.473737203141375 absolute error = 6.217248937900877e-15 relative error = 9.60380185788814e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.569999999999722 y[1] (closed_form) = 6.479628527357782 y[1] (numeric) = 6.479628527357777 absolute error = 5.329070518200751e-15 relative error = 8.224345725531588e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.579999999999721 y[1] (closed_form) = 6.485428889479468 y[1] (numeric) = 6.485428889479465 absolute error = 3.552713678800501e-15 relative error = 5.477993420857087e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.58999999999972 y[1] (closed_form) = 6.49113870946673 y[1] (numeric) = 6.491138709466727 absolute error = 3.552713678800501e-15 relative error = 5.473174796926145e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.599999999999719 y[1] (closed_form) = 6.49675841633399 y[1] (numeric) = 6.496758416333988 absolute error = 1.77635683940025e-15 relative error = 2.734220245798547e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.609999999999717 y[1] (closed_form) = 6.502288448106913 y[1] (numeric) = 6.502288448106913 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.619999999999716 y[1] (closed_form) = 6.507729251778597 y[1] (numeric) = 6.507729251778597 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.629999999999715 y[1] (closed_form) = 6.513081283264874 y[1] (numeric) = 6.513081283264875 absolute error = 8.881784197001252e-16 relative error = 1.363683917138064e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.639999999999714 y[1] (closed_form) = 6.518345007358725 y[1] (numeric) = 6.518345007358726 absolute error = 8.881784197001252e-16 relative error = 1.362582708797153e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.649999999999713 y[1] (closed_form) = 6.52352089768379 y[1] (numeric) = 6.523520897683794 absolute error = 3.552713678800501e-15 relative error = 5.446006435055509e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.659999999999712 y[1] (closed_form) = 6.52860943664702 y[1] (numeric) = 6.528609436647022 absolute error = 1.77635683940025e-15 relative error = 2.720880850107272e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.669999999999711 y[1] (closed_form) = 6.533611115390423 y[1] (numeric) = 6.533611115390427 absolute error = 4.440892098500626e-15 relative error = 6.796994831908137e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.67999999999971 y[1] (closed_form) = 6.538526433741961 y[1] (numeric) = 6.538526433741966 absolute error = 5.329070518200751e-15 relative error = 8.150262252822239e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.689999999999709 y[1] (closed_form) = 6.54335590016556 y[1] (numeric) = 6.543355900165566 absolute error = 6.217248937900877e-15 relative error = 9.501621236502767e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.699999999999708 y[1] (closed_form) = 6.548100031710271 y[1] (numeric) = 6.548100031710277 absolute error = 6.217248937900877e-15 relative error = 9.494737263928174e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.709999999999706 y[1] (closed_form) = 6.552759353958558 y[1] (numeric) = 6.552759353958565 absolute error = 6.217248937900877e-15 relative error = 9.48798605604981e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.719999999999705 y[1] (closed_form) = 6.557334400973747 y[1] (numeric) = 6.557334400973754 absolute error = 7.105427357601002e-15 relative error = 1.08358471950826e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.729999999999704 y[1] (closed_form) = 6.561825715246615 y[1] (numeric) = 6.561825715246622 absolute error = 7.105427357601002e-15 relative error = 1.082843047947968e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.739999999999703 y[1] (closed_form) = 6.566233847641143 y[1] (numeric) = 6.566233847641151 absolute error = 8.881784197001252e-15 relative error = 1.352645123991731e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.749999999999702 y[1] (closed_form) = 6.570559357339433 y[1] (numeric) = 6.570559357339442 absolute error = 8.881784197001252e-15 relative error = 1.351754654964062e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.759999999999701 y[1] (closed_form) = 6.574802811785787 y[1] (numeric) = 6.574802811785796 absolute error = 8.881784197001252e-15 relative error = 1.350882216738127e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.7699999999997 y[1] (closed_form) = 6.578964786629962 y[1] (numeric) = 6.57896478662997 absolute error = 7.993605777301127e-15 relative error = 1.215024861289128e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.779999999999699 y[1] (closed_form) = 6.583045865669609 y[1] (numeric) = 6.583045865669619 absolute error = 9.769962616701378e-15 relative error = 1.484109759534176e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.789999999999698 y[1] (closed_form) = 6.587046640791892 y[1] (numeric) = 6.587046640791903 absolute error = 1.154631945610163e-14 relative error = 1.752882602135869e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.799999999999697 y[1] (closed_form) = 6.590967711914299 y[1] (numeric) = 6.590967711914311 absolute error = 1.154631945610163e-14 relative error = 1.75183978450231e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.809999999999695 y[1] (closed_form) = 6.594809686924652 y[1] (numeric) = 6.594809686924664 absolute error = 1.154631945610163e-14 relative error = 1.750819205441849e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.819999999999694 y[1] (closed_form) = 6.598573181620319 y[1] (numeric) = 6.59857318162033 absolute error = 1.154631945610163e-14 relative error = 1.749820626110925e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.829999999999693 y[1] (closed_form) = 6.602258819646632 y[1] (numeric) = 6.602258819646644 absolute error = 1.154631945610163e-14 relative error = 1.748843808083188e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.839999999999692 y[1] (closed_form) = 6.605867232434527 y[1] (numeric) = 6.605867232434538 absolute error = 1.154631945610163e-14 relative error = 1.747888513321868e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.849999999999691 y[1] (closed_form) = 6.609399059137401 y[1] (numeric) = 6.609399059137413 absolute error = 1.243449787580175e-14 relative error = 1.881335619856579e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.85999999999969 y[1] (closed_form) = 6.61285494656719 y[1] (numeric) = 6.612854946567203 absolute error = 1.332267629550188e-14 relative error = 2.014663319118747e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.869999999999689 y[1] (closed_form) = 6.616235549129699 y[1] (numeric) = 6.616235549129714 absolute error = 1.509903313490213e-14 relative error = 2.282118437710135e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.879999999999688 y[1] (closed_form) = 6.619541528759156 y[1] (numeric) = 6.619541528759171 absolute error = 1.509903313490213e-14 relative error = 2.280978685503083e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.889999999999687 y[1] (closed_form) = 6.622773554852021 y[1] (numeric) = 6.622773554852034 absolute error = 1.332267629550188e-14 relative error = 2.011646055109544e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.899999999999685 y[1] (closed_form) = 6.625932304200042 y[1] (numeric) = 6.625932304200056 absolute error = 1.4210854715202e-14 relative error = 2.144732856113552e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.909999999999684 y[1] (closed_form) = 6.629018460922585 y[1] (numeric) = 6.629018460922597 absolute error = 1.243449787580175e-14 relative error = 1.875767573902819e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.919999999999683 y[1] (closed_form) = 6.632032716398216 y[1] (numeric) = 6.632032716398228 absolute error = 1.243449787580175e-14 relative error = 1.874915038500412e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.929999999999682 y[1] (closed_form) = 6.634975769195565 y[1] (numeric) = 6.634975769195577 absolute error = 1.243449787580175e-14 relative error = 1.874083389050467e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.939999999999681 y[1] (closed_form) = 6.637848325003473 y[1] (numeric) = 6.637848325003486 absolute error = 1.332267629550188e-14 relative error = 2.007077541274628e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.94999999999968 y[1] (closed_form) = 6.640651096560418 y[1] (numeric) = 6.640651096560434 absolute error = 1.509903313490213e-14 relative error = 2.273727819057201e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.959999999999679 y[1] (closed_form) = 6.643384803583249 y[1] (numeric) = 6.643384803583263 absolute error = 1.4210854715202e-14 relative error = 2.13909853716995e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.969999999999678 y[1] (closed_form) = 6.646050172695206 y[1] (numeric) = 6.64605017269522 absolute error = 1.332267629550188e-14 relative error = 2.00460061981432e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.979999999999677 y[1] (closed_form) = 6.648647937353268 y[1] (numeric) = 6.648647937353283 absolute error = 1.4210854715202e-14 relative error = 2.137405206156718e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.989999999999676 y[1] (closed_form) = 6.651178837774799 y[1] (numeric) = 6.651178837774813 absolute error = 1.4210854715202e-14 relative error = 2.136591882703962e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.999999999999674 y[1] (closed_form) = 6.653643620863533 y[1] (numeric) = 6.653643620863548 absolute error = 1.509903313490213e-14 relative error = 2.269287926326076e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.009999999999677 y[1] (closed_form) = 6.656043040134882 y[1] (numeric) = 6.656043040134898 absolute error = 1.509903313490213e-14 relative error = 2.2684698767507e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.019999999999681 y[1] (closed_form) = 6.658377855640586 y[1] (numeric) = 6.658377855640602 absolute error = 1.598721155460225e-14 relative error = 2.401067031823499e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.029999999999684 y[1] (closed_form) = 6.660648833892704 y[1] (numeric) = 6.660648833892719 absolute error = 1.4210854715202e-14 relative error = 2.13355411306029e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.039999999999687 y[1] (closed_form) = 6.662856747786973 y[1] (numeric) = 6.662856747786987 absolute error = 1.332267629550188e-14 relative error = 1.99954415948188e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.049999999999691 y[1] (closed_form) = 6.665002376525509 y[1] (numeric) = 6.665002376525521 absolute error = 1.243449787580175e-14 relative error = 1.865640426415557e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.059999999999694 y[1] (closed_form) = 6.667086505538892 y[1] (numeric) = 6.667086505538903 absolute error = 1.154631945610163e-14 relative error = 1.731838854424517e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.069999999999697 y[1] (closed_form) = 6.669109926407625 y[1] (numeric) = 6.669109926407636 absolute error = 1.06581410364015e-14 relative error = 1.598135456457022e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.079999999999701 y[1] (closed_form) = 6.671073436782974 y[1] (numeric) = 6.671073436782984 absolute error = 9.769962616701378e-15 relative error = 1.464526317883377e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.089999999999704 y[1] (closed_form) = 6.672977840307203 y[1] (numeric) = 6.672977840307214 absolute error = 1.154631945610163e-14 relative error = 1.730309875503808e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.099999999999707 y[1] (closed_form) = 6.674823946533216 y[1] (numeric) = 6.674823946533226 absolute error = 9.769962616701378e-15 relative error = 1.463703416743407e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.109999999999711 y[1] (closed_form) = 6.676612570843593 y[1] (numeric) = 6.676612570843604 absolute error = 1.06581410364015e-14 relative error = 1.59633959935687e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.119999999999714 y[1] (closed_form) = 6.678344534369062 y[1] (numeric) = 6.678344534369073 absolute error = 1.154631945610163e-14 relative error = 1.728919404603984e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.129999999999717 y[1] (closed_form) = 6.680020663906379 y[1] (numeric) = 6.68002066390639 absolute error = 1.154631945610163e-14 relative error = 1.728485589646291e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.139999999999721 y[1] (closed_form) = 6.681641791835654 y[1] (numeric) = 6.681641791835665 absolute error = 1.06581410364015e-14 relative error = 1.595138046673613e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.149999999999724 y[1] (closed_form) = 6.683208756037113 y[1] (numeric) = 6.683208756037123 absolute error = 1.06581410364015e-14 relative error = 1.594764046054035e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.159999999999727 y[1] (closed_form) = 6.684722399807306 y[1] (numeric) = 6.684722399807316 absolute error = 9.769962616701378e-15 relative error = 1.461536026833815e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.169999999999731 y[1] (closed_form) = 6.686183571774786 y[1] (numeric) = 6.686183571774794 absolute error = 8.881784197001252e-15 relative error = 1.328378753238997e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.179999999999734 y[1] (closed_form) = 6.687593125815241 y[1] (numeric) = 6.687593125815247 absolute error = 6.217248937900877e-15 relative error = 9.296691381988004e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.189999999999737 y[1] (closed_form) = 6.688951920966105 y[1] (numeric) = 6.688951920966112 absolute error = 6.217248937900877e-15 relative error = 9.294802850074756e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.199999999999741 y[1] (closed_form) = 6.690260821340667 y[1] (numeric) = 6.690260821340672 absolute error = 5.329070518200751e-15 relative error = 7.965415191590175e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.209999999999744 y[1] (closed_form) = 6.691520696041643 y[1] (numeric) = 6.691520696041647 absolute error = 4.440892098500626e-15 relative error = 6.6365962241253e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.219999999999748 y[1] (closed_form) = 6.69273241907428 y[1] (numeric) = 6.692732419074285 absolute error = 5.329070518200751e-15 relative error = 7.962473597499441e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.229999999999751 y[1] (closed_form) = 6.693896869258952 y[1] (numeric) = 6.693896869258957 absolute error = 5.329070518200751e-15 relative error = 7.961088469519111e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.239999999999754 y[1] (closed_form) = 6.695014930143278 y[1] (numeric) = 6.695014930143282 absolute error = 3.552713678800501e-15 relative error = 5.306505983735678e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.249999999999758 y[1] (closed_form) = 6.696087489913767 y[1] (numeric) = 6.69608748991377 absolute error = 3.552713678800501e-15 relative error = 5.305656003079275e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.259999999999761 y[1] (closed_form) = 6.697115441307004 y[1] (numeric) = 6.697115441307006 absolute error = 2.664535259100376e-15 relative error = 3.978631221832973e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.269999999999764 y[1] (closed_form) = 6.698099681520371 y[1] (numeric) = 6.698099681520374 absolute error = 3.552713678800501e-15 relative error = 5.304062118696458e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.279999999999768 y[1] (closed_form) = 6.699041112122334 y[1] (numeric) = 6.699041112122337 absolute error = 2.664535259100376e-15 relative error = 3.977487545611166e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.289999999999771 y[1] (closed_form) = 6.699940638962286 y[1] (numeric) = 6.699940638962287 absolute error = 1.77635683940025e-15 relative error = 2.651302354934565e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.299999999999774 y[1] (closed_form) = 6.700799172079956 y[1] (numeric) = 6.700799172079956 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.309999999999778 y[1] (closed_form) = 6.701617625614418 y[1] (numeric) = 6.701617625614417 absolute error = 8.881784197001252e-16 relative error = 1.325319451687898e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.319999999999781 y[1] (closed_form) = 6.702396917712663 y[1] (numeric) = 6.702396917712663 absolute error = 8.881784197001252e-16 relative error = 1.325165355923497e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.329999999999784 y[1] (closed_form) = 6.703137970437802 y[1] (numeric) = 6.703137970437799 absolute error = 2.664535259100376e-15 relative error = 3.97505656433079e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.339999999999788 y[1] (closed_form) = 6.703841709676844 y[1] (numeric) = 6.70384170967684 absolute error = 4.440892098500626e-15 relative error = 6.624398801198273e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.349999999999791 y[1] (closed_form) = 6.704509065048118 y[1] (numeric) = 6.704509065048114 absolute error = 3.552713678800501e-15 relative error = 5.298991535892574e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.359999999999794 y[1] (closed_form) = 6.70514096980831 y[1] (numeric) = 6.705140969808307 absolute error = 3.552713678800501e-15 relative error = 5.298492149229292e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.369999999999798 y[1] (closed_form) = 6.705738360759139 y[1] (numeric) = 6.705738360759134 absolute error = 5.329070518200751e-15 relative error = 7.947030187437049e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.379999999999801 y[1] (closed_form) = 6.706302178153672 y[1] (numeric) = 6.706302178153666 absolute error = 6.217248937900877e-15 relative error = 9.270755735036923e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.389999999999804 y[1] (closed_form) = 6.706833365602308 y[1] (numeric) = 6.706833365602301 absolute error = 7.105427357601002e-15 relative error = 1.059431026577011e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.399999999999808 y[1] (closed_form) = 6.70733286997841 y[1] (numeric) = 6.707332869978403 absolute error = 7.105427357601002e-15 relative error = 1.059352129279946e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.409999999999811 y[1] (closed_form) = 6.707801641323625 y[1] (numeric) = 6.707801641323617 absolute error = 7.993605777301127e-15 relative error = 1.191687859112629e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.419999999999814 y[1] (closed_form) = 6.708240632752874 y[1] (numeric) = 6.708240632752866 absolute error = 7.993605777301127e-15 relative error = 1.191609874319725e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.429999999999818 y[1] (closed_form) = 6.708650800359047 y[1] (numeric) = 6.70865080035904 absolute error = 7.105427357601002e-15 relative error = 1.059144017038526e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.439999999999821 y[1] (closed_form) = 6.709033103117393 y[1] (numeric) = 6.709033103117386 absolute error = 7.105427357601002e-15 relative error = 1.059083663531101e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.449999999999824 y[1] (closed_form) = 6.70938850278962 y[1] (numeric) = 6.709388502789612 absolute error = 7.993605777301127e-15 relative error = 1.191406008755873e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.459999999999828 y[1] (closed_form) = 6.709717963827725 y[1] (numeric) = 6.709717963827718 absolute error = 7.105427357601002e-15 relative error = 1.058975562893486e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.469999999999831 y[1] (closed_form) = 6.710022453277545 y[1] (numeric) = 6.710022453277536 absolute error = 8.881784197001252e-15 relative error = 1.323659385470894e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.479999999999834 y[1] (closed_form) = 6.710302940682054 y[1] (numeric) = 6.710302940682046 absolute error = 7.993605777301127e-15 relative error = 1.191243651436195e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.489999999999838 y[1] (closed_form) = 6.710560397984414 y[1] (numeric) = 6.710560397984407 absolute error = 7.105427357601002e-15 relative error = 1.058842620615588e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.499999999999841 y[1] (closed_form) = 6.710795799430777 y[1] (numeric) = 6.710795799430769 absolute error = 7.993605777301127e-15 relative error = 1.191156163324052e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.509999999999844 y[1] (closed_form) = 6.711010121472857 y[1] (numeric) = 6.71101012147285 absolute error = 6.217248937900877e-15 relative error = 9.264252065434801e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.519999999999848 y[1] (closed_form) = 6.711204342670298 y[1] (numeric) = 6.711204342670292 absolute error = 6.217248937900877e-15 relative error = 9.263983959438071e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.529999999999851 y[1] (closed_form) = 6.71137944359281 y[1] (numeric) = 6.711379443592804 absolute error = 5.329070518200751e-15 relative error = 7.940350509146499e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.539999999999854 y[1] (closed_form) = 6.711536406722109 y[1] (numeric) = 6.711536406722105 absolute error = 4.440892098500626e-15 relative error = 6.616804006386284e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.549999999999858 y[1] (closed_form) = 6.711676216353684 y[1] (numeric) = 6.71167621635368 absolute error = 4.440892098500626e-15 relative error = 6.616666173019401e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.559999999999861 y[1] (closed_form) = 6.711799858498353 y[1] (numeric) = 6.711799858498348 absolute error = 5.329070518200751e-15 relative error = 7.939853140068209e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.569999999999864 y[1] (closed_form) = 6.711908320783673 y[1] (numeric) = 6.711908320783667 absolute error = 6.217248937900877e-15 relative error = 9.26301230701995e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.579999999999868 y[1] (closed_form) = 6.712002592355169 y[1] (numeric) = 6.712002592355163 absolute error = 6.217248937900877e-15 relative error = 9.262882205948778e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.589999999999871 y[1] (closed_form) = 6.712083663777433 y[1] (numeric) = 6.712083663777426 absolute error = 7.105427357601002e-15 relative error = 1.058602322844439e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.599999999999874 y[1] (closed_form) = 6.712152526935053 y[1] (numeric) = 6.712152526935047 absolute error = 6.217248937900877e-15 relative error = 9.262675293732989e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.609999999999878 y[1] (closed_form) = 6.712210174933442 y[1] (numeric) = 6.712210174933435 absolute error = 7.105427357601002e-15 relative error = 1.058582370399547e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.619999999999881 y[1] (closed_form) = 6.712257601999511 y[1] (numeric) = 6.712257601999503 absolute error = 7.993605777301127e-15 relative error = 1.190896752073388e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.629999999999884 y[1] (closed_form) = 6.712295803382261 y[1] (numeric) = 6.712295803382253 absolute error = 7.993605777301127e-15 relative error = 1.190889974377057e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.639999999999888 y[1] (closed_form) = 6.712325775253253 y[1] (numeric) = 6.712325775253245 absolute error = 7.993605777301127e-15 relative error = 1.190884656816218e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.649999999999891 y[1] (closed_form) = 6.712348514606992 y[1] (numeric) = 6.712348514606983 absolute error = 8.881784197001252e-15 relative error = 1.32320069163174e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.659999999999894 y[1] (closed_form) = 6.712365019161226 y[1] (numeric) = 6.712365019161219 absolute error = 7.105427357601002e-15 relative error = 1.058557950486562e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.669999999999898 y[1] (closed_form) = 6.712376287257181 y[1] (numeric) = 6.712376287257174 absolute error = 7.105427357601002e-15 relative error = 1.058556173480618e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.679999999999901 y[1] (closed_form) = 6.712383317759724 y[1] (numeric) = 6.712383317759715 absolute error = 8.881784197001252e-15 relative error = 1.323193830945515e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.689999999999904 y[1] (closed_form) = 6.712387109957477 y[1] (numeric) = 6.712387109957469 absolute error = 7.993605777301127e-15 relative error = 1.190873775060295e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.699999999999908 y[1] (closed_form) = 6.712388663462891 y[1] (numeric) = 6.712388663462884 absolute error = 7.105427357601002e-15 relative error = 1.058554221729965e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.709999999999911 y[1] (closed_form) = 6.712388978112282 y[1] (numeric) = 6.712388978112274 absolute error = 7.993605777301127e-15 relative error = 1.190873443622923e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.719999999999914 y[1] (closed_form) = 6.712389053865852 y[1] (numeric) = 6.712389053865843 absolute error = 8.881784197001252e-15 relative error = 1.323192700203512e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.729999999999918 y[1] (closed_form) = 6.712389890707693 y[1] (numeric) = 6.712389890707684 absolute error = 8.881784197001252e-15 relative error = 1.323192535239463e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.739999999999921 y[1] (closed_form) = 6.712392488545788 y[1] (numeric) = 6.71239248854578 absolute error = 7.993605777301127e-15 relative error = 1.190872820822328e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.749999999999925 y[1] (closed_form) = 6.712397847112023 y[1] (numeric) = 6.712397847112017 absolute error = 6.217248937900877e-15 relative error = 9.262336767740634e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.759999999999928 y[1] (closed_form) = 6.712406965862212 y[1] (numeric) = 6.712406965862205 absolute error = 7.105427357601002e-15 relative error = 1.058551335420752e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.769999999999931 y[1] (closed_form) = 6.712420843876154 y[1] (numeric) = 6.712420843876146 absolute error = 7.993605777301127e-15 relative error = 1.190867790209224e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.779999999999935 y[1] (closed_form) = 6.712440479757725 y[1] (numeric) = 6.712440479757718 absolute error = 7.105427357601002e-15 relative error = 1.058546050282067e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.789999999999938 y[1] (closed_form) = 6.712466871535021 y[1] (numeric) = 6.712466871535014 absolute error = 7.105427357601002e-15 relative error = 1.058541888338008e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.799999999999941 y[1] (closed_form) = 6.712501016560553 y[1] (numeric) = 6.712501016560545 absolute error = 7.993605777301127e-15 relative error = 1.190853566737634e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.809999999999945 y[1] (closed_form) = 6.712543911411514 y[1] (numeric) = 6.712543911411506 absolute error = 7.993605777301127e-15 relative error = 1.190845956882572e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.819999999999948 y[1] (closed_form) = 6.71259655179012 y[1] (numeric) = 6.712596551790112 absolute error = 7.993605777301127e-15 relative error = 1.190836618233727e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.829999999999951 y[1] (closed_form) = 6.712659932424044 y[1] (numeric) = 6.712659932424036 absolute error = 7.993605777301127e-15 relative error = 1.190825374407804e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.839999999999955 y[1] (closed_form) = 6.712735046966944 y[1] (numeric) = 6.712735046966935 absolute error = 8.881784197001252e-15 relative error = 1.323124499158411e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.849999999999958 y[1] (closed_form) = 6.712822887899092 y[1] (numeric) = 6.712822887899084 absolute error = 7.993605777301127e-15 relative error = 1.190796466820366e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.859999999999961 y[1] (closed_form) = 6.712924446428136 y[1] (numeric) = 6.712924446428128 absolute error = 7.993605777301127e-15 relative error = 1.190778451492095e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.869999999999965 y[1] (closed_form) = 6.713040712389976 y[1] (numeric) = 6.713040712389967 absolute error = 8.881784197001252e-15 relative error = 1.323064253224104e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.879999999999968 y[1] (closed_form) = 6.713172674149778 y[1] (numeric) = 6.71317267414977 absolute error = 7.993605777301127e-15 relative error = 1.190734421011078e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.889999999999971 y[1] (closed_form) = 6.713321318503142 y[1] (numeric) = 6.713321318503135 absolute error = 7.105427357601002e-15 relative error = 1.058407161000494e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.899999999999975 y[1] (closed_form) = 6.713487630577424 y[1] (numeric) = 6.713487630577417 absolute error = 7.105427357601002e-15 relative error = 1.058380941261951e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.909999999999978 y[1] (closed_form) = 6.713672593733222 y[1] (numeric) = 6.713672593733215 absolute error = 7.105427357601002e-15 relative error = 1.05835178263436e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.919999999999981 y[1] (closed_form) = 6.713877189466041 y[1] (numeric) = 6.713877189466035 absolute error = 6.217248937900877e-15 relative error = 9.260295895277373e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.929999999999985 y[1] (closed_form) = 6.714102397308145 y[1] (numeric) = 6.714102397308139 absolute error = 6.217248937900877e-15 relative error = 9.259985281716183e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.939999999999988 y[1] (closed_form) = 6.714349194730604 y[1] (numeric) = 6.714349194730597 absolute error = 7.105427357601002e-15 relative error = 1.058245133151149e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.949999999999991 y[1] (closed_form) = 6.714618557045549 y[1] (numeric) = 6.714618557045542 absolute error = 7.105427357601002e-15 relative error = 1.058202680797911e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.959999999999995 y[1] (closed_form) = 6.714911457308638 y[1] (numeric) = 6.71491145730863 absolute error = 7.993605777301127e-15 relative error = 1.19042608798672e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.969999999999998 y[1] (closed_form) = 6.715228866221757 y[1] (numeric) = 6.715228866221748 absolute error = 8.881784197001252e-15 relative error = 1.322633133425649e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.980000000000001 y[1] (closed_form) = 6.715571752035945 y[1] (numeric) = 6.715571752035936 absolute error = 8.881784197001252e-15 relative error = 1.32256560199935e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.990000000000005 y[1] (closed_form) = 6.715941080454573 y[1] (numeric) = 6.715941080454564 absolute error = 8.881784197001252e-15 relative error = 1.32249287041096e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 Finished! diff ( y , x , 1 ) = sin ( x ) + 1.0 ; Iterations = 10000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %