##############ECHO OF PROBLEM################# ##############temp/arccos_cos_1d3_0d8postode.ode################# diff ( y , x , 1 ) = arccos ( cos ( x ) ) ; ! // BEGIN FIRST INPUT BLOCK max_terms=30; Digits=32; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(1.3); x_end=c(0.8); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_display_interval=0.001; glob_type_given_pole=0; // 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(x)*c(x)/c(2.0)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 1.299 y[1] (closed_form) = 0.8437005000000002 y[1] (numeric) = 0.8437004999536891 absolute error = 4.631106609309654e-11 relative error = 5.489040968103792e-09 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 11 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.298 y[1] (closed_form) = 0.8424020000000003 y[1] (numeric) = 0.8424019999071987 absolute error = 9.280165524927497e-11 relative error = 1.101631468696358e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.297 y[1] (closed_form) = 0.8411045000000005 y[1] (numeric) = 0.8411044998605285 absolute error = 1.394719895131402e-10 relative error = 1.658200491296149e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.296 y[1] (closed_form) = 0.8398080000000007 y[1] (numeric) = 0.8398079998136786 absolute error = 1.863220688846923e-10 relative error = 2.218626982413744e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.295000000000001 y[1] (closed_form) = 0.8385125000000008 y[1] (numeric) = 0.8385124997666488 absolute error = 2.333520043862336e-10 relative error = 2.782928154156717e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.294000000000001 y[1] (closed_form) = 0.8372180000000009 y[1] (numeric) = 0.837217999719439 absolute error = 2.805619070400667e-10 relative error = 3.351121297440647e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.293000000000001 y[1] (closed_form) = 0.8359245000000011 y[1] (numeric) = 0.8359244996720492 absolute error = 3.279518878684939e-10 relative error = 3.92322378239295e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.292000000000001 y[1] (closed_form) = 0.8346320000000012 y[1] (numeric) = 0.8346319996244792 absolute error = 3.755219468715154e-10 relative error = 4.499251728564384e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.291000000000001 y[1] (closed_form) = 0.8333405000000014 y[1] (numeric) = 0.833340499576729 absolute error = 4.232724171160385e-10 relative error = 5.079225324054666e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.290000000000001 y[1] (closed_form) = 0.8320500000000015 y[1] (numeric) = 0.8320499995287983 absolute error = 4.712031875797607e-10 relative error = 5.663159516612701e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.289000000000001 y[1] (closed_form) = 0.8307605000000016 y[1] (numeric) = 0.8307604994806872 absolute error = 5.193143692849844e-10 relative error = 6.251071991085077e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.288000000000001 y[1] (closed_form) = 0.8294720000000018 y[1] (numeric) = 0.8294719994323955 absolute error = 5.676062952986172e-10 relative error = 6.842983190494869e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.287000000000001 y[1] (closed_form) = 0.8281845000000019 y[1] (numeric) = 0.8281844993839231 absolute error = 6.16078743576054e-10 relative error = 7.438906953415001e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.286000000000002 y[1] (closed_form) = 0.826898000000002 y[1] (numeric) = 0.82689799933527 absolute error = 6.647320471842022e-10 relative error = 8.038863888704538e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.285000000000002 y[1] (closed_form) = 0.8256125000000022 y[1] (numeric) = 0.8256124992864359 absolute error = 7.135663171453643e-10 relative error = 8.642872014962982e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.284000000000002 y[1] (closed_form) = 0.8243280000000023 y[1] (numeric) = 0.8243279992374208 absolute error = 7.625814424372379e-10 relative error = 9.250946740099036e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.283000000000002 y[1] (closed_form) = 0.8230445000000025 y[1] (numeric) = 0.8230444991882246 absolute error = 8.117778671490328e-10 relative error = 9.863110283211057e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.282000000000002 y[1] (closed_form) = 0.8217620000000025 y[1] (numeric) = 0.8217619991388473 absolute error = 8.611552582138415e-10 relative error = 1.047937551522021e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.281000000000002 y[1] (closed_form) = 0.8204805000000027 y[1] (numeric) = 0.8204804990892886 absolute error = 9.107141707431765e-10 relative error = 1.109976618265972e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.280000000000002 y[1] (closed_form) = 0.8192000000000029 y[1] (numeric) = 0.8191999990395484 absolute error = 9.604544937147352e-10 relative error = 1.172429801897866e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.279000000000002 y[1] (closed_form) = 0.817920500000003 y[1] (numeric) = 0.8179204989896267 absolute error = 1.01037633815082e-09 relative error = 1.235298954055824e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.278000000000002 y[1] (closed_form) = 0.8166420000000032 y[1] (numeric) = 0.8166419989395234 absolute error = 1.060479815073734e-09 relative error = 1.298585934930765e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.277000000000003 y[1] (closed_form) = 0.8153645000000033 y[1] (numeric) = 0.8153644988892382 absolute error = 1.110765035505779e-09 relative error = 1.362292613310702e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.276000000000003 y[1] (closed_form) = 0.8140880000000035 y[1] (numeric) = 0.8140879988387713 absolute error = 1.161232221491559e-09 relative error = 1.426421003001585e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.275000000000003 y[1] (closed_form) = 0.8128125000000036 y[1] (numeric) = 0.8128124987881223 absolute error = 1.211881262008774e-09 relative error = 1.490972717580953e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.274000000000003 y[1] (closed_form) = 0.8115380000000038 y[1] (numeric) = 0.8115379987372913 absolute error = 1.262712490124329e-09 relative error = 1.555949924864052e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.273000000000003 y[1] (closed_form) = 0.8102645000000038 y[1] (numeric) = 0.810264498686278 absolute error = 1.313725794815923e-09 relative error = 1.6213542550808e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.272000000000003 y[1] (closed_form) = 0.8089920000000039 y[1] (numeric) = 0.8089919986350824 absolute error = 1.364921509150463e-09 relative error = 1.687187894503847e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.271000000000003 y[1] (closed_form) = 0.8077205000000042 y[1] (numeric) = 0.8077204985837044 absolute error = 1.416299744150251e-09 relative error = 1.753452765096644e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.270000000000003 y[1] (closed_form) = 0.8064500000000042 y[1] (numeric) = 0.8064499985321439 absolute error = 1.467860277770683e-09 relative error = 1.820150384736407e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.269000000000003 y[1] (closed_form) = 0.8051805000000044 y[1] (numeric) = 0.8051804984804007 absolute error = 1.51960366512327e-09 relative error = 1.887283242854567e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.268000000000004 y[1] (closed_form) = 0.8039120000000045 y[1] (numeric) = 0.8039119984284748 absolute error = 1.571529684163409e-09 relative error = 1.954852874647225e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.267000000000004 y[1] (closed_form) = 0.8026445000000046 y[1] (numeric) = 0.802644498376366 absolute error = 1.623638667958005e-09 relative error = 2.022861513357403e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.266000000000004 y[1] (closed_form) = 0.8013780000000048 y[1] (numeric) = 0.8013779983240742 absolute error = 1.67593061650706e-09 relative error = 2.091310987457916e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.265000000000004 y[1] (closed_form) = 0.8001125000000049 y[1] (numeric) = 0.8001124982715992 absolute error = 1.728405640832875e-09 relative error = 2.160203272455892e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.264000000000004 y[1] (closed_form) = 0.7988480000000051 y[1] (numeric) = 0.7988479982189411 absolute error = 1.781063962980056e-09 relative error = 2.229540492033584e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.263000000000004 y[1] (closed_form) = 0.7975845000000052 y[1] (numeric) = 0.7975844981660997 absolute error = 1.833905582948603e-09 relative error = 2.299324501602765e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.262000000000004 y[1] (closed_form) = 0.7963220000000053 y[1] (numeric) = 0.7963219981130748 absolute error = 1.886930500738515e-09 relative error = 2.369557164989166e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.261000000000004 y[1] (closed_form) = 0.7950605000000055 y[1] (numeric) = 0.7950604980598663 absolute error = 1.940139160439003e-09 relative error = 2.440240913036164e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.260000000000004 y[1] (closed_form) = 0.7938000000000056 y[1] (numeric) = 0.7937999980064742 absolute error = 1.993531451027764e-09 relative error = 2.511377489326971e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.259000000000005 y[1] (closed_form) = 0.7925405000000058 y[1] (numeric) = 0.7925404979528982 absolute error = 2.047107594549402e-09 relative error = 2.582969065365602e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.258000000000005 y[1] (closed_form) = 0.7912820000000059 y[1] (numeric) = 0.7912819978991382 absolute error = 2.100867702026221e-09 relative error = 2.655017682730311e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.257000000000005 y[1] (closed_form) = 0.790024500000006 y[1] (numeric) = 0.7900244978451944 absolute error = 2.154811662435918e-09 relative error = 2.727525111481861e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.256000000000005 y[1] (closed_form) = 0.7887680000000061 y[1] (numeric) = 0.7887679977910663 absolute error = 2.2089398088454e-09 relative error = 2.800493692499421e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.255000000000005 y[1] (closed_form) = 0.7875125000000063 y[1] (numeric) = 0.7875124977367539 absolute error = 2.263252363299273e-09 relative error = 2.873925637115925e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.254000000000005 y[1] (closed_form) = 0.7862580000000065 y[1] (numeric) = 0.7862579976822571 absolute error = 2.317749325797536e-09 relative error = 2.947822884851431e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.253000000000005 y[1] (closed_form) = 0.7850045000000065 y[1] (numeric) = 0.7850044976275758 absolute error = 2.372430696340189e-09 relative error = 3.022187384072536e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.252000000000005 y[1] (closed_form) = 0.7837520000000067 y[1] (numeric) = 0.78375199757271 absolute error = 2.427296696971837e-09 relative error = 3.09702137534809e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.251000000000005 y[1] (closed_form) = 0.7825005000000068 y[1] (numeric) = 0.7825004975176593 absolute error = 2.482347549737085e-09 relative error = 3.172327109998094e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.250000000000006 y[1] (closed_form) = 0.781250000000007 y[1] (numeric) = 0.7812499974624237 absolute error = 2.537583254635933e-09 relative error = 3.248106565933966e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.249000000000006 y[1] (closed_form) = 0.7800005000000071 y[1] (numeric) = 0.7800004974070032 absolute error = 2.593003922690684e-09 relative error = 3.324361872448365e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.248000000000006 y[1] (closed_form) = 0.7787520000000072 y[1] (numeric) = 0.7787519973513974 absolute error = 2.648609775945943e-09 relative error = 3.401095311403268e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.247000000000006 y[1] (closed_form) = 0.7775045000000074 y[1] (numeric) = 0.7775044972956064 absolute error = 2.704400925424011e-09 relative error = 3.478309032840305e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.246000000000006 y[1] (closed_form) = 0.7762580000000074 y[1] (numeric) = 0.7762579972396301 absolute error = 2.760377371124889e-09 relative error = 3.556005053892987e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.245000000000006 y[1] (closed_form) = 0.7750125000000075 y[1] (numeric) = 0.7750124971834682 absolute error = 2.816539335093182e-09 relative error = 3.634185687447821e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.244000000000006 y[1] (closed_form) = 0.7737680000000078 y[1] (numeric) = 0.7737679971271207 absolute error = 2.872887039373495e-09 relative error = 3.712853257531284e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.243000000000006 y[1] (closed_form) = 0.7725245000000078 y[1] (numeric) = 0.7725244970705876 absolute error = 2.929420261921223e-09 relative error = 3.792009524515007e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.242000000000006 y[1] (closed_form) = 0.771282000000008 y[1] (numeric) = 0.7712819970138685 absolute error = 2.986139557847878e-09 relative error = 3.871657263942172e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.241000000000007 y[1] (closed_form) = 0.7700405000000081 y[1] (numeric) = 0.7700404969569634 absolute error = 3.043044705108855e-09 relative error = 3.951798256207074e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.240000000000007 y[1] (closed_form) = 0.7688000000000083 y[1] (numeric) = 0.7687999968998722 absolute error = 3.100136036771062e-09 relative error = 4.032435011408726e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.239000000000007 y[1] (closed_form) = 0.7675605000000084 y[1] (numeric) = 0.7675604968425948 absolute error = 3.157413663856801e-09 relative error = 4.113569762718074e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.238000000000007 y[1] (closed_form) = 0.7663220000000085 y[1] (numeric) = 0.7663219967851309 absolute error = 3.214877586366072e-09 relative error = 4.19520460898426e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.237000000000007 y[1] (closed_form) = 0.7650845000000086 y[1] (numeric) = 0.7650844967274806 absolute error = 3.27252802634348e-09 relative error = 4.277341948952623e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.236000000000007 y[1] (closed_form) = 0.7638480000000087 y[1] (numeric) = 0.7638479966696435 absolute error = 3.33036520583363e-09 relative error = 4.359984192972413e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.235000000000007 y[1] (closed_form) = 0.7626125000000089 y[1] (numeric) = 0.7626124966116198 absolute error = 3.388389124836522e-09 relative error = 4.443133471896254e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.234000000000007 y[1] (closed_form) = 0.761378000000009 y[1] (numeric) = 0.7613779965534091 absolute error = 3.446599894374458e-09 relative error = 4.526792072235364e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.233000000000007 y[1] (closed_form) = 0.7601445000000091 y[1] (numeric) = 0.7601444964950114 absolute error = 3.504997736492044e-09 relative error = 4.610962437394472e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.232000000000008 y[1] (closed_form) = 0.7589120000000092 y[1] (numeric) = 0.7589119964364265 absolute error = 3.563582762211581e-09 relative error = 4.695646876332879e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.231000000000008 y[1] (closed_form) = 0.7576805000000094 y[1] (numeric) = 0.7576804963776543 absolute error = 3.622355082555373e-09 relative error = 4.780847708968791e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.230000000000008 y[1] (closed_form) = 0.7564500000000095 y[1] (numeric) = 0.7564499963186947 absolute error = 3.681314808545721e-09 relative error = 4.866567266237921e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.229000000000008 y[1] (closed_form) = 0.7552205000000096 y[1] (numeric) = 0.7552204962595475 absolute error = 3.740462162227232e-09 relative error = 4.952808037158927e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.228000000000008 y[1] (closed_form) = 0.7539920000000098 y[1] (numeric) = 0.7539919962002126 absolute error = 3.799797143599903e-09 relative error = 5.039572228352362e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.227000000000008 y[1] (closed_form) = 0.7527645000000099 y[1] (numeric) = 0.75276449614069 absolute error = 3.859319974708342e-09 relative error = 5.126862351649541e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.226000000000008 y[1] (closed_form) = 0.75153800000001 y[1] (numeric) = 0.7515379960809793 absolute error = 3.919030766574849e-09 relative error = 5.214680783373292e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.225000000000008 y[1] (closed_form) = 0.7503125000000102 y[1] (numeric) = 0.7503124960210805 absolute error = 3.978929630221728e-09 relative error = 5.303029911165913e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.224000000000008 y[1] (closed_form) = 0.7490880000000103 y[1] (numeric) = 0.7490879959609935 absolute error = 4.039016787693583e-09 relative error = 5.391912282259932e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.223000000000009 y[1] (closed_form) = 0.7478645000000105 y[1] (numeric) = 0.7478644959007181 absolute error = 4.099292350012718e-09 relative error = 5.481330307846756e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.222000000000009 y[1] (closed_form) = 0.7466420000000106 y[1] (numeric) = 0.7466419958402543 absolute error = 4.159756317179131e-09 relative error = 5.571286261928838e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.221000000000009 y[1] (closed_form) = 0.7454205000000107 y[1] (numeric) = 0.7454204957796018 absolute error = 4.220408911237428e-09 relative error = 5.661782726980767e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.220000000000009 y[1] (closed_form) = 0.7442000000000109 y[1] (numeric) = 0.7441999957187605 absolute error = 4.281250354232213e-09 relative error = 5.752822298081364e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.219000000000009 y[1] (closed_form) = 0.7429805000000109 y[1] (numeric) = 0.7429804956577303 absolute error = 4.342280646163488e-09 relative error = 5.844407284125793e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.218000000000009 y[1] (closed_form) = 0.741762000000011 y[1] (numeric) = 0.741761995596511 absolute error = 4.403500009075856e-09 relative error = 5.936540304135007e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.217000000000009 y[1] (closed_form) = 0.7405445000000112 y[1] (numeric) = 0.7405444955351026 absolute error = 4.46490855399162e-09 relative error = 6.029223840014412e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.216000000000009 y[1] (closed_form) = 0.7393280000000113 y[1] (numeric) = 0.7393279954735048 absolute error = 4.526506502955385e-09 relative error = 6.122460535723408e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.215000000000009 y[1] (closed_form) = 0.7381125000000114 y[1] (numeric) = 0.7381124954117175 absolute error = 4.588293855967152e-09 relative error = 6.216252747334696e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.21400000000001 y[1] (closed_form) = 0.7368980000000116 y[1] (numeric) = 0.7368979953497407 absolute error = 4.650270946093826e-09 relative error = 6.310603293934511e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.21300000000001 y[1] (closed_form) = 0.7356845000000117 y[1] (numeric) = 0.7356844952875741 absolute error = 4.712437662313107e-09 relative error = 6.4055144050378e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.21200000000001 y[1] (closed_form) = 0.7344720000000118 y[1] (numeric) = 0.7344719952252176 absolute error = 4.774794226669599e-09 relative error = 6.500988773798759e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.21100000000001 y[1] (closed_form) = 0.733260500000012 y[1] (numeric) = 0.733260495162671 absolute error = 4.837340972230209e-09 relative error = 6.59702925799239e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.21000000000001 y[1] (closed_form) = 0.7320500000000121 y[1] (numeric) = 0.7320499950999343 absolute error = 4.900077787972634e-09 relative error = 6.693638123041531e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.20900000000001 y[1] (closed_form) = 0.7308405000000122 y[1] (numeric) = 0.7308404950370072 absolute error = 4.963005006963783e-09 relative error = 6.790818252359715e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.20800000000001 y[1] (closed_form) = 0.7296320000000123 y[1] (numeric) = 0.7296319949738896 absolute error = 5.026122629203655e-09 relative error = 6.888572087303697e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.20700000000001 y[1] (closed_form) = 0.7284245000000125 y[1] (numeric) = 0.7284244949105815 absolute error = 5.089430987759158e-09 relative error = 6.986902537955645e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.20600000000001 y[1] (closed_form) = 0.7272180000000126 y[1] (numeric) = 0.7272179948470826 absolute error = 5.152929971607989e-09 relative error = 7.085811918307715e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.205000000000011 y[1] (closed_form) = 0.7260125000000126 y[1] (numeric) = 0.7260124947833928 absolute error = 5.216619802794753e-09 relative error = 7.185303011717653e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.204000000000011 y[1] (closed_form) = 0.7248080000000128 y[1] (numeric) = 0.724807994719512 absolute error = 5.280500814386357e-09 relative error = 7.285378768427314e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.203000000000011 y[1] (closed_form) = 0.7236045000000129 y[1] (numeric) = 0.72360449465544 absolute error = 5.3445728953605e-09 relative error = 7.386041539764339e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.202000000000011 y[1] (closed_form) = 0.722402000000013 y[1] (numeric) = 0.7224019945911766 absolute error = 5.408836378784088e-09 relative error = 7.487294302596049e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.201000000000011 y[1] (closed_form) = 0.7212005000000131 y[1] (numeric) = 0.7212004945267217 absolute error = 5.473291375679423e-09 relative error = 7.589139740861693e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.200000000000011 y[1] (closed_form) = 0.7200000000000133 y[1] (numeric) = 0.7199999944620753 absolute error = 5.537937997068809e-09 relative error = 7.691580551484315e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.199000000000011 y[1] (closed_form) = 0.7188005000000134 y[1] (numeric) = 0.718800494397237 absolute error = 5.602776353974548e-09 relative error = 7.794619444441738e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.198000000000011 y[1] (closed_form) = 0.7176020000000135 y[1] (numeric) = 0.7176019943322068 absolute error = 5.667806668441244e-09 relative error = 7.898259297550924e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.197000000000011 y[1] (closed_form) = 0.7164045000000137 y[1] (numeric) = 0.7164044942669846 absolute error = 5.733029051491201e-09 relative error = 8.002502847889833e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.196000000000011 y[1] (closed_form) = 0.7152080000000137 y[1] (numeric) = 0.7152079942015701 absolute error = 5.79844361414672e-09 relative error = 8.107352845810741e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.195000000000012 y[1] (closed_form) = 0.7140125000000138 y[1] (numeric) = 0.7140124941359632 absolute error = 5.864050578452407e-09 relative error = 8.212812210503728e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.194000000000012 y[1] (closed_form) = 0.7128180000000139 y[1] (numeric) = 0.7128179940701638 absolute error = 5.929850166452866e-09 relative error = 8.318883875621476e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.193000000000012 y[1] (closed_form) = 0.7116245000000141 y[1] (numeric) = 0.7116244940041716 absolute error = 5.9958424891704e-09 relative error = 8.425570633347055e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.192000000000012 y[1] (closed_form) = 0.7104320000000143 y[1] (numeric) = 0.7104319939379866 absolute error = 6.062027657627311e-09 relative error = 8.53287528943965e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.191000000000012 y[1] (closed_form) = 0.7092405000000144 y[1] (numeric) = 0.7092404938716087 absolute error = 6.1284056718236e-09 relative error = 8.640800506772352e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.190000000000012 y[1] (closed_form) = 0.7080500000000145 y[1] (numeric) = 0.7080499938050376 absolute error = 6.194976864826174e-09 relative error = 8.749349431291642e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.189000000000012 y[1] (closed_form) = 0.7068605000000145 y[1] (numeric) = 0.7068604937382732 absolute error = 6.261741347657335e-09 relative error = 8.858524910724543e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.188000000000012 y[1] (closed_form) = 0.7056720000000147 y[1] (numeric) = 0.7056719936713154 absolute error = 6.328699342361688e-09 relative error = 8.968329964008145e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.187000000000012 y[1] (closed_form) = 0.7044845000000148 y[1] (numeric) = 0.7044844936041639 absolute error = 6.395850959961535e-09 relative error = 9.078767467504822e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.186000000000013 y[1] (closed_form) = 0.703298000000015 y[1] (numeric) = 0.7032979935368187 absolute error = 6.46319631147918e-09 relative error = 9.18984031161619e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.185000000000013 y[1] (closed_form) = 0.702112500000015 y[1] (numeric) = 0.7021124934692795 absolute error = 6.530735507936924e-09 relative error = 9.301551400860667e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.184000000000013 y[1] (closed_form) = 0.7009280000000152 y[1] (numeric) = 0.7009279934015462 absolute error = 6.598468993423978e-09 relative error = 9.41390412913143e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.183000000000013 y[1] (closed_form) = 0.6997445000000153 y[1] (numeric) = 0.6997444933336188 absolute error = 6.666396545895736e-09 relative error = 9.526900955842583e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.182000000000013 y[1] (closed_form) = 0.6985620000000154 y[1] (numeric) = 0.6985619932654968 absolute error = 6.734518609441409e-09 relative error = 9.640545305128622e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.181000000000013 y[1] (closed_form) = 0.6973805000000155 y[1] (numeric) = 0.6973804931971804 absolute error = 6.802835073038693e-09 relative error = 9.754839822791922e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.180000000000013 y[1] (closed_form) = 0.6962000000000157 y[1] (numeric) = 0.6961999931286693 absolute error = 6.871346380776799e-09 relative error = 9.869787964344506e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.179000000000013 y[1] (closed_form) = 0.6950205000000158 y[1] (numeric) = 0.6950204930599633 absolute error = 6.940052532655727e-09 relative error = 9.985392564184177e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.178000000000013 y[1] (closed_form) = 0.6938420000000158 y[1] (numeric) = 0.6938419929910622 absolute error = 7.008953639697779e-09 relative error = 1.010165663032451e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.177000000000014 y[1] (closed_form) = 0.692664500000016 y[1] (numeric) = 0.692664492921966 absolute error = 7.078050034969863e-09 relative error = 1.021858350611255e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.176000000000014 y[1] (closed_form) = 0.6914880000000161 y[1] (numeric) = 0.6914879928526744 absolute error = 7.147341718471978e-09 relative error = 1.03361760702598e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.175000000000014 y[1] (closed_form) = 0.6903125000000162 y[1] (numeric) = 0.6903124927831872 absolute error = 7.216829023271032e-09 relative error = 1.045443769781202e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.174000000000014 y[1] (closed_form) = 0.6891380000000163 y[1] (numeric) = 0.6891379927135044 absolute error = 7.286511949367025e-09 relative error = 1.057337129771809e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.173000000000014 y[1] (closed_form) = 0.6879645000000164 y[1] (numeric) = 0.6879644926436257 absolute error = 7.356390718804562e-09 relative error = 1.069298011569549e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.172000000000014 y[1] (closed_form) = 0.6867920000000166 y[1] (numeric) = 0.6867919925735511 absolute error = 7.426465553628248e-09 relative error = 1.081326741375565e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.171000000000014 y[1] (closed_form) = 0.6856205000000167 y[1] (numeric) = 0.6856204925032802 absolute error = 7.496736564860385e-09 relative error = 1.093423630836622e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.170000000000014 y[1] (closed_form) = 0.6844500000000168 y[1] (numeric) = 0.684449992432813 absolute error = 7.567203752500973e-09 relative error = 1.105588976915887e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.169000000000014 y[1] (closed_form) = 0.6832805000000169 y[1] (numeric) = 0.6832804923621493 absolute error = 7.637867671661525e-09 relative error = 1.11782315925324e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.168000000000015 y[1] (closed_form) = 0.682112000000017 y[1] (numeric) = 0.6821119922912889 absolute error = 7.708728100297435e-09 relative error = 1.130126445553991e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.167000000000015 y[1] (closed_form) = 0.6809445000000172 y[1] (numeric) = 0.6809444922202317 absolute error = 7.779785482497914e-09 relative error = 1.142499202577849e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.166000000000015 y[1] (closed_form) = 0.6797780000000173 y[1] (numeric) = 0.6797779921489775 absolute error = 7.851039818262961e-09 relative error = 1.154941733663455e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.165000000000015 y[1] (closed_form) = 0.6786125000000174 y[1] (numeric) = 0.6786124920775261 absolute error = 7.922491329637182e-09 relative error = 1.167454376339513e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.164000000000015 y[1] (closed_form) = 0.6774480000000175 y[1] (numeric) = 0.6774479920058772 absolute error = 7.994140238665182e-09 relative error = 1.180037469837534e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.163000000000015 y[1] (closed_form) = 0.6762845000000176 y[1] (numeric) = 0.676284491934031 absolute error = 8.065986656369262e-09 relative error = 1.192691338684984e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.162000000000015 y[1] (closed_form) = 0.6751220000000178 y[1] (numeric) = 0.675121991861987 absolute error = 8.138030804794028e-09 relative error = 1.205416325463222e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.161000000000015 y[1] (closed_form) = 0.6739605000000178 y[1] (numeric) = 0.6739604917897452 absolute error = 8.210272683939479e-09 relative error = 1.218212741538898e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.160000000000015 y[1] (closed_form) = 0.6728000000000179 y[1] (numeric) = 0.6727999917173053 absolute error = 8.282712626872524e-09 relative error = 1.23108094929731e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.159000000000016 y[1] (closed_form) = 0.6716405000000181 y[1] (numeric) = 0.6716404916446672 absolute error = 8.355350855637766e-09 relative error = 1.244021296458082e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.158000000000016 y[1] (closed_form) = 0.6704820000000181 y[1] (numeric) = 0.6704819915718307 absolute error = 8.428187370235207e-09 relative error = 1.25703409938447e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.157000000000016 y[1] (closed_form) = 0.6693245000000183 y[1] (numeric) = 0.6693244914987958 absolute error = 8.501222503731753e-09 relative error = 1.270119725743122e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.156000000000016 y[1] (closed_form) = 0.6681680000000184 y[1] (numeric) = 0.668167991425562 absolute error = 8.574456367149708e-09 relative error = 1.283278511863704e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.155000000000016 y[1] (closed_form) = 0.6670125000000185 y[1] (numeric) = 0.6670124913521295 absolute error = 8.647889071511372e-09 relative error = 1.296510795751374e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.154000000000016 y[1] (closed_form) = 0.6658580000000186 y[1] (numeric) = 0.6658579912784978 absolute error = 8.721520838861352e-09 relative error = 1.309816933769829e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.153000000000016 y[1] (closed_form) = 0.6647045000000187 y[1] (numeric) = 0.6647044912046668 absolute error = 8.795351891244252e-09 relative error = 1.323197284093007e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.152000000000016 y[1] (closed_form) = 0.6635520000000188 y[1] (numeric) = 0.6635519911306365 absolute error = 8.869382339682375e-09 relative error = 1.336652189983923e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.151000000000016 y[1] (closed_form) = 0.6624005000000189 y[1] (numeric) = 0.6624004910564065 absolute error = 8.943612406220325e-09 relative error = 1.350182013180858e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.150000000000017 y[1] (closed_form) = 0.6612500000000191 y[1] (numeric) = 0.6612499909819768 absolute error = 9.018042312902708e-09 relative error = 1.36378711726313e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.149000000000017 y[1] (closed_form) = 0.6601005000000192 y[1] (numeric) = 0.6601004909073471 absolute error = 9.092672059729523e-09 relative error = 1.377467834023646e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.148000000000017 y[1] (closed_form) = 0.6589520000000193 y[1] (numeric) = 0.6589519908325173 absolute error = 9.167501979767678e-09 relative error = 1.391224547427948e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.147000000000017 y[1] (closed_form) = 0.6578045000000193 y[1] (numeric) = 0.6578044907574871 absolute error = 9.242532184039476e-09 relative error = 1.405057609675702e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.146000000000017 y[1] (closed_form) = 0.6566580000000195 y[1] (numeric) = 0.6566579906822565 absolute error = 9.317763005611823e-09 relative error = 1.418967408546237e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.145000000000017 y[1] (closed_form) = 0.6555125000000196 y[1] (numeric) = 0.6555124906068251 absolute error = 9.39319444448472e-09 relative error = 1.432954283020452e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.144000000000017 y[1] (closed_form) = 0.6543680000000197 y[1] (numeric) = 0.654367990531193 absolute error = 9.468826722702772e-09 relative error = 1.447018607679851e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.143000000000017 y[1] (closed_form) = 0.6532245000000199 y[1] (numeric) = 0.6532244904553598 absolute error = 9.544660062310584e-09 relative error = 1.461160759020872e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.142000000000017 y[1] (closed_form) = 0.6520820000000199 y[1] (numeric) = 0.6520819903793253 absolute error = 9.620694574330457e-09 relative error = 1.475381098440099e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.141000000000018 y[1] (closed_form) = 0.65094050000002 y[1] (numeric) = 0.6509404903030895 absolute error = 9.696930480806998e-09 relative error = 1.489680006207434e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.140000000000018 y[1] (closed_form) = 0.6498000000000201 y[1] (numeric) = 0.6497999902266521 absolute error = 9.77336800378481e-09 relative error = 1.504057864540552e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.139000000000018 y[1] (closed_form) = 0.6486605000000203 y[1] (numeric) = 0.6486604901500129 absolute error = 9.8500073653085e-09 relative error = 1.518515057616148e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.138000000000018 y[1] (closed_form) = 0.6475220000000204 y[1] (numeric) = 0.6475219900731718 absolute error = 9.926848565378066e-09 relative error = 1.533051937289815e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.137000000000018 y[1] (closed_form) = 0.6463845000000205 y[1] (numeric) = 0.6463844899961285 absolute error = 1.000389193706042e-08 relative error = 1.547668908685171e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.136000000000018 y[1] (closed_form) = 0.6452480000000206 y[1] (numeric) = 0.6452479899188829 absolute error = 1.008113770240016e-08 relative error = 1.562366361832944e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.135000000000018 y[1] (closed_form) = 0.6441125000000206 y[1] (numeric) = 0.6441124898414347 absolute error = 1.015858597241959e-08 relative error = 1.577144671531644e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.134000000000018 y[1] (closed_form) = 0.6429780000000208 y[1] (numeric) = 0.6429779897637837 absolute error = 1.023623708018562e-08 relative error = 1.592004249007787e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.133000000000018 y[1] (closed_form) = 0.6418445000000209 y[1] (numeric) = 0.6418444896859299 absolute error = 1.031409102569825e-08 relative error = 1.606945455744797e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.132000000000019 y[1] (closed_form) = 0.640712000000021 y[1] (numeric) = 0.640711989607873 absolute error = 1.039214803100208e-08 relative error = 1.621968689676756e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.131000000000019 y[1] (closed_form) = 0.6395805000000211 y[1] (numeric) = 0.6395804895296129 absolute error = 1.047040820711942e-08 relative error = 1.637074333429345e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.130000000000019 y[1] (closed_form) = 0.6384500000000212 y[1] (numeric) = 0.6384499894511493 absolute error = 1.054887188711717e-08 relative error = 1.652262806346123e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.129000000000019 y[1] (closed_form) = 0.6373205000000213 y[1] (numeric) = 0.637320489372482 absolute error = 1.062753929303994e-08 relative error = 1.66753451254739e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.128000000000019 y[1] (closed_form) = 0.6361920000000214 y[1] (numeric) = 0.6361919892936109 absolute error = 1.070641053591004e-08 relative error = 1.682889840788579e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.127000000000019 y[1] (closed_form) = 0.6350645000000216 y[1] (numeric) = 0.6350644892145356 absolute error = 1.078548594879436e-08 relative error = 1.698329216763651e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.126000000000019 y[1] (closed_form) = 0.6339380000000217 y[1] (numeric) = 0.6339379891352562 absolute error = 1.086476542067061e-08 relative error = 1.713852998348456e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.125000000000019 y[1] (closed_form) = 0.6328125000000218 y[1] (numeric) = 0.6328124890557724 absolute error = 1.094424939562799e-08 relative error = 1.729461632889302e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.124000000000019 y[1] (closed_form) = 0.6316880000000218 y[1] (numeric) = 0.6316879889760838 absolute error = 1.102393798468881e-08 relative error = 1.745155517389666e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.12300000000002 y[1] (closed_form) = 0.630564500000022 y[1] (numeric) = 0.6305644888961904 absolute error = 1.110383152091998e-08 relative error = 1.760935086088671e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.12200000000002 y[1] (closed_form) = 0.629442000000022 y[1] (numeric) = 0.629441988816092 absolute error = 1.11839300043215e-08 relative error = 1.776800722595744e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.12100000000002 y[1] (closed_form) = 0.6283205000000222 y[1] (numeric) = 0.6283204887357885 absolute error = 1.126423365693796e-08 relative error = 1.792752847780323e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.12000000000002 y[1] (closed_form) = 0.6272000000000223 y[1] (numeric) = 0.6271999886552795 absolute error = 1.134474281183628e-08 relative error = 1.808791902397302e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.11900000000002 y[1] (closed_form) = 0.6260805000000224 y[1] (numeric) = 0.6260804885745649 absolute error = 1.142545746901646e-08 relative error = 1.824918276326456e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.11800000000002 y[1] (closed_form) = 0.6249620000000224 y[1] (numeric) = 0.6249619884936445 absolute error = 1.150637796154541e-08 relative error = 1.841132414698013e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.11700000000002 y[1] (closed_form) = 0.6238445000000226 y[1] (numeric) = 0.6238444884125181 absolute error = 1.158750451146773e-08 relative error = 1.857434747195384e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.11600000000002 y[1] (closed_form) = 0.6227280000000227 y[1] (numeric) = 0.6227279883311854 absolute error = 1.166883734082802e-08 relative error = 1.873825705737914e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.11500000000002 y[1] (closed_form) = 0.6216125000000228 y[1] (numeric) = 0.6216124882496463 absolute error = 1.175037644962629e-08 relative error = 1.890305688773288e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.114000000000021 y[1] (closed_form) = 0.6204980000000229 y[1] (numeric) = 0.6204979881679006 absolute error = 1.183212228195174e-08 relative error = 1.906875168324685e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.113000000000021 y[1] (closed_form) = 0.619384500000023 y[1] (numeric) = 0.619384488085948 absolute error = 1.191407494882668e-08 relative error = 1.923534565173368e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.112000000000021 y[1] (closed_form) = 0.618272000000023 y[1] (numeric) = 0.6182719880037885 absolute error = 1.199623456127341e-08 relative error = 1.94028430226065e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.111000000000021 y[1] (closed_form) = 0.6171605000000232 y[1] (numeric) = 0.6171604879214216 absolute error = 1.207860156338114e-08 relative error = 1.957124858668157e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.110000000000021 y[1] (closed_form) = 0.6160500000000233 y[1] (numeric) = 0.6160499878388475 absolute error = 1.216117584412757e-08 relative error = 1.974056625943853e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.109000000000021 y[1] (closed_form) = 0.6149405000000234 y[1] (numeric) = 0.6149404877560656 absolute error = 1.224395784760191e-08 relative error = 1.991080087846131e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.108000000000021 y[1] (closed_form) = 0.6138320000000235 y[1] (numeric) = 0.6138319876730759 absolute error = 1.232694757380415e-08 relative error = 2.008195658389214e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.107000000000021 y[1] (closed_form) = 0.6127245000000235 y[1] (numeric) = 0.6127244875898782 absolute error = 1.241014535580121e-08 relative error = 2.02540380804109e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.106000000000021 y[1] (closed_form) = 0.6116180000000236 y[1] (numeric) = 0.6116179875064722 absolute error = 1.249355141563768e-08 relative error = 2.042704991618494e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.105000000000022 y[1] (closed_form) = 0.6105125000000238 y[1] (numeric) = 0.6105124874228578 absolute error = 1.257716597535818e-08 relative error = 2.060099666322589e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.104000000000022 y[1] (closed_form) = 0.6094080000000239 y[1] (numeric) = 0.6094079873390347 absolute error = 1.266098925700732e-08 relative error = 2.077588291753114e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.103000000000022 y[1] (closed_form) = 0.608304500000024 y[1] (numeric) = 0.6083044872550026 absolute error = 1.274502137160738e-08 relative error = 2.095171311671519e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.102000000000022 y[1] (closed_form) = 0.6072020000000241 y[1] (numeric) = 0.6072019871707615 absolute error = 1.282926265222528e-08 relative error = 2.112849208702338e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.101000000000022 y[1] (closed_form) = 0.6061005000000241 y[1] (numeric) = 0.606100487086311 absolute error = 1.291371309886102e-08 relative error = 2.130622413091642e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.100000000000022 y[1] (closed_form) = 0.6050000000000243 y[1] (numeric) = 0.604999987001651 absolute error = 1.299837326662612e-08 relative error = 2.148491449029024e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.099000000000022 y[1] (closed_form) = 0.6039005000000244 y[1] (numeric) = 0.6039004869167813 absolute error = 1.308324304449826e-08 relative error = 2.166456733269426e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.098000000000022 y[1] (closed_form) = 0.6028020000000245 y[1] (numeric) = 0.6028019868317017 absolute error = 1.316832276554436e-08 relative error = 2.184518758322604e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.097000000000022 y[1] (closed_form) = 0.6017045000000246 y[1] (numeric) = 0.6017044867464119 absolute error = 1.325361276283132e-08 relative error = 2.202678019331878e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.096000000000023 y[1] (closed_form) = 0.6006080000000247 y[1] (numeric) = 0.6006079866609116 absolute error = 1.333911303635915e-08 relative error = 2.220934958635017e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.095000000000023 y[1] (closed_form) = 0.5995125000000248 y[1] (numeric) = 0.5995124865752008 absolute error = 1.342482391919475e-08 relative error = 2.239290076386097e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.094000000000023 y[1] (closed_form) = 0.5984180000000249 y[1] (numeric) = 0.5984179864892792 absolute error = 1.351074563338273e-08 relative error = 2.257743856866298e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.093000000000023 y[1] (closed_form) = 0.597324500000025 y[1] (numeric) = 0.5973244864031466 absolute error = 1.359687840096768e-08 relative error = 2.276296786916846e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.092000000000023 y[1] (closed_form) = 0.5962320000000251 y[1] (numeric) = 0.5962319863168027 absolute error = 1.368322233297192e-08 relative error = 2.29494933733368e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.091000000000023 y[1] (closed_form) = 0.5951405000000252 y[1] (numeric) = 0.5951404862302474 absolute error = 1.376977776246235e-08 relative error = 2.31370201867656e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.090000000000023 y[1] (closed_form) = 0.5940500000000253 y[1] (numeric) = 0.5940499861434804 absolute error = 1.385654491148358e-08 relative error = 2.332555325558958e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.089000000000023 y[1] (closed_form) = 0.5929605000000253 y[1] (numeric) = 0.5929604860565014 absolute error = 1.394352389105791e-08 relative error = 2.351509736492956e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.088000000000023 y[1] (closed_form) = 0.5918720000000255 y[1] (numeric) = 0.5918719859693103 absolute error = 1.403071514527454e-08 relative error = 2.370565788764114e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.087000000000024 y[1] (closed_form) = 0.5907845000000256 y[1] (numeric) = 0.5907844858819069 absolute error = 1.411811867413348e-08 relative error = 2.389723947417861e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.086000000000024 y[1] (closed_form) = 0.5896980000000256 y[1] (numeric) = 0.5896979857942909 absolute error = 1.420573469967934e-08 relative error = 2.408984717546731e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.085000000000024 y[1] (closed_form) = 0.5886125000000257 y[1] (numeric) = 0.5886124857064622 absolute error = 1.429356355497902e-08 relative error = 2.428348625790039e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.084000000000024 y[1] (closed_form) = 0.5875280000000258 y[1] (numeric) = 0.5875279856184205 absolute error = 1.438160535105482e-08 relative error = 2.447816163834606e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.083000000000024 y[1] (closed_form) = 0.5864445000000259 y[1] (numeric) = 0.5864444855301655 absolute error = 1.446986042097365e-08 relative error = 2.467387863808597e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.082000000000024 y[1] (closed_form) = 0.585362000000026 y[1] (numeric) = 0.585361985441697 absolute error = 1.455832898678011e-08 relative error = 2.48706424174775e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.081000000000024 y[1] (closed_form) = 0.5842805000000261 y[1] (numeric) = 0.5842804853530149 absolute error = 1.464701115949651e-08 relative error = 2.506845797437337e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.080000000000024 y[1] (closed_form) = 0.5832000000000263 y[1] (numeric) = 0.5831999852641188 absolute error = 1.473590749423437e-08 relative error = 2.526733109436506e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.079000000000024 y[1] (closed_form) = 0.5821205000000264 y[1] (numeric) = 0.5821204851750085 absolute error = 1.482501787997137e-08 relative error = 2.546726645079618e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.078000000000024 y[1] (closed_form) = 0.5810420000000264 y[1] (numeric) = 0.5810419850856838 absolute error = 1.491434253875212e-08 relative error = 2.566826931401077e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.077000000000025 y[1] (closed_form) = 0.5799645000000265 y[1] (numeric) = 0.5799644849961446 absolute error = 1.500388191466584e-08 relative error = 2.587034536538901e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.076000000000025 y[1] (closed_form) = 0.5788880000000266 y[1] (numeric) = 0.5788879849063905 absolute error = 1.509363611873482e-08 relative error = 2.607349974215069e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.075000000000025 y[1] (closed_form) = 0.5778125000000267 y[1] (numeric) = 0.5778124848164213 absolute error = 1.518360537300367e-08 relative error = 2.627773780076231e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.074000000000025 y[1] (closed_form) = 0.5767380000000267 y[1] (numeric) = 0.5767379847262368 absolute error = 1.5273789899517e-08 relative error = 2.648306492638996e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.073000000000025 y[1] (closed_form) = 0.5756645000000269 y[1] (numeric) = 0.5756644846358369 absolute error = 1.536419003134171e-08 relative error = 2.668948672593323e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.072000000000025 y[1] (closed_form) = 0.574592000000027 y[1] (numeric) = 0.5745919845452211 absolute error = 1.54548058795001e-08 relative error = 2.689700845034281e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.071000000000025 y[1] (closed_form) = 0.5735205000000271 y[1] (numeric) = 0.5735204844543893 absolute error = 1.554563777705908e-08 relative error = 2.710563576551902e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.070000000000025 y[1] (closed_form) = 0.5724500000000271 y[1] (numeric) = 0.5724499843633413 absolute error = 1.563668583504096e-08 relative error = 2.731537398033055e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.069000000000025 y[1] (closed_form) = 0.5713805000000273 y[1] (numeric) = 0.5713804842720768 absolute error = 1.572795049753495e-08 relative error = 2.752622901470071e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.068000000000026 y[1] (closed_form) = 0.5703120000000274 y[1] (numeric) = 0.5703119841805956 absolute error = 1.581943176454104e-08 relative error = 2.773820604255263e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.067000000000026 y[1] (closed_form) = 0.5692445000000275 y[1] (numeric) = 0.5692444840888974 absolute error = 1.591113008014844e-08 relative error = 2.795131104498624e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.066000000000026 y[1] (closed_form) = 0.5681780000000275 y[1] (numeric) = 0.5681779839969821 absolute error = 1.600304544435716e-08 relative error = 2.816554925455822e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.065000000000026 y[1] (closed_form) = 0.5671125000000277 y[1] (numeric) = 0.5671124839048493 absolute error = 1.60951784122787e-08 relative error = 2.838092691005385e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.064000000000026 y[1] (closed_form) = 0.5660480000000278 y[1] (numeric) = 0.5660479838124988 absolute error = 1.618752898391307e-08 relative error = 2.859744930449763e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.063000000000026 y[1] (closed_form) = 0.5649845000000278 y[1] (numeric) = 0.5649844837199304 absolute error = 1.628009738130487e-08 relative error = 2.881512215167685e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.062000000000026 y[1] (closed_form) = 0.5639220000000279 y[1] (numeric) = 0.5639219836271439 absolute error = 1.637288404854331e-08 relative error = 2.903395159001157e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.061000000000026 y[1] (closed_form) = 0.562860500000028 y[1] (numeric) = 0.5628604835341389 absolute error = 1.64658890966507e-08 relative error = 2.925394320022435e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.060000000000026 y[1] (closed_form) = 0.5618000000000281 y[1] (numeric) = 0.5617999834409153 absolute error = 1.655911274767163e-08 relative error = 2.947510279044287e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.059000000000027 y[1] (closed_form) = 0.5607405000000282 y[1] (numeric) = 0.5607404833474728 absolute error = 1.665255533467302e-08 relative error = 2.969743639824872e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.058000000000027 y[1] (closed_form) = 0.5596820000000282 y[1] (numeric) = 0.5596819832538112 absolute error = 1.674621696867717e-08 relative error = 2.992094969764318e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.057000000000027 y[1] (closed_form) = 0.5586245000000284 y[1] (numeric) = 0.5586244831599303 absolute error = 1.684009809377329e-08 relative error = 3.01456489892091e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.056000000000027 y[1] (closed_form) = 0.5575680000000284 y[1] (numeric) = 0.5575679830658297 absolute error = 1.693419870996138e-08 relative error = 3.037153981211353e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.055000000000027 y[1] (closed_form) = 0.5565125000000285 y[1] (numeric) = 0.5565124829715092 absolute error = 1.702851926133064e-08 relative error = 3.059862853274593e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.054000000000027 y[1] (closed_form) = 0.5554580000000287 y[1] (numeric) = 0.5554579828769687 absolute error = 1.712305996992569e-08 relative error = 3.082692115321916e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.053000000000027 y[1] (closed_form) = 0.5544045000000287 y[1] (numeric) = 0.5544044827822077 absolute error = 1.721782105779113e-08 relative error = 3.105642370830366e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.052000000000027 y[1] (closed_form) = 0.5533520000000288 y[1] (numeric) = 0.5533519826872261 absolute error = 1.731280274697156e-08 relative error = 3.128714226562957e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.051000000000027 y[1] (closed_form) = 0.5523005000000288 y[1] (numeric) = 0.5523004825920236 absolute error = 1.740800525951158e-08 relative error = 3.15190829258903e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.050000000000028 y[1] (closed_form) = 0.551250000000029 y[1] (numeric) = 0.5512499824966 absolute error = 1.750342903950042e-08 relative error = 3.175225222584943e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.049000000000028 y[1] (closed_form) = 0.5502005000000291 y[1] (numeric) = 0.550200482400955 absolute error = 1.759907408693806e-08 relative error = 3.198665593167787e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.048000000000028 y[1] (closed_form) = 0.5491520000000292 y[1] (numeric) = 0.5491519823050883 absolute error = 1.769494084591372e-08 relative error = 3.222230064884181e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.047000000000028 y[1] (closed_form) = 0.5481045000000292 y[1] (numeric) = 0.5481044822089999 absolute error = 1.77910293164274e-08 relative error = 3.245919220956305e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.046000000000028 y[1] (closed_form) = 0.5470580000000294 y[1] (numeric) = 0.5470579821126892 absolute error = 1.788734016461291e-08 relative error = 3.269733769474525e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.045000000000028 y[1] (closed_form) = 0.5460125000000294 y[1] (numeric) = 0.5460124820161562 absolute error = 1.798387327944795e-08 relative error = 3.293674280249441e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.044000000000028 y[1] (closed_form) = 0.5449680000000294 y[1] (numeric) = 0.5449679819194004 absolute error = 1.808062899399943e-08 relative error = 3.3177414075686e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.043000000000028 y[1] (closed_form) = 0.5439245000000296 y[1] (numeric) = 0.5439244818224218 absolute error = 1.817760775235655e-08 relative error = 3.341935829762322e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.042000000000028 y[1] (closed_form) = 0.5428820000000296 y[1] (numeric) = 0.5428819817252201 absolute error = 1.827480955451932e-08 relative error = 3.366258147169795e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.041000000000029 y[1] (closed_form) = 0.5418405000000297 y[1] (numeric) = 0.5418404816277949 absolute error = 1.837223484457695e-08 relative error = 3.390709045295792e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.040000000000029 y[1] (closed_form) = 0.5408000000000298 y[1] (numeric) = 0.540799981530146 absolute error = 1.846988384457404e-08 relative error = 3.415289172443237e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.039000000000029 y[1] (closed_form) = 0.53976050000003 y[1] (numeric) = 0.5397604814322731 absolute error = 1.85677568875775e-08 relative error = 3.439999201048701e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.038000000000029 y[1] (closed_form) = 0.53872200000003 y[1] (numeric) = 0.5387219813341759 absolute error = 1.866585408460963e-08 relative error = 3.464839766077605e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.037000000000029 y[1] (closed_form) = 0.5376845000000301 y[1] (numeric) = 0.5376844812358543 absolute error = 1.876417576873735e-08 relative error = 3.489811547243094e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.036000000000029 y[1] (closed_form) = 0.5366480000000302 y[1] (numeric) = 0.5366479811373079 absolute error = 1.886272227302754e-08 relative error = 3.514915228050134e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.035000000000029 y[1] (closed_form) = 0.5356125000000302 y[1] (numeric) = 0.5356124810385365 absolute error = 1.896149370850253e-08 relative error = 3.540151454363268e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.034000000000029 y[1] (closed_form) = 0.5345780000000303 y[1] (numeric) = 0.5345779809395399 absolute error = 1.906049040822921e-08 relative error = 3.565520917102487e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.033000000000029 y[1] (closed_form) = 0.5335445000000304 y[1] (numeric) = 0.5335444808403177 absolute error = 1.91597127052745e-08 relative error = 3.591024311050607e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.03200000000003 y[1] (closed_form) = 0.5325120000000305 y[1] (numeric) = 0.5325119807408697 absolute error = 1.9259160821683e-08 relative error = 3.61666231402896e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.03100000000003 y[1] (closed_form) = 0.5314805000000306 y[1] (numeric) = 0.5314804806411956 absolute error = 1.935883497949931e-08 relative error = 3.64243560760897e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.03000000000003 y[1] (closed_form) = 0.5304500000000306 y[1] (numeric) = 0.5304499805412951 absolute error = 1.945873551179034e-08 relative error = 3.668344898065645e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.02900000000003 y[1] (closed_form) = 0.5294205000000307 y[1] (numeric) = 0.529420480441168 absolute error = 1.9558862751623e-08 relative error = 3.694390895634351e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.02800000000003 y[1] (closed_form) = 0.5283920000000308 y[1] (numeric) = 0.5283919803408139 absolute error = 1.965921692104189e-08 relative error = 3.720574293524645e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.02700000000003 y[1] (closed_form) = 0.5273645000000309 y[1] (numeric) = 0.5273644802402327 absolute error = 1.975979813106932e-08 relative error = 3.746895767740938e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.02600000000003 y[1] (closed_form) = 0.5263380000000311 y[1] (numeric) = 0.5263379801394241 absolute error = 1.986060693681679e-08 relative error = 3.773356082368292e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.02500000000003 y[1] (closed_form) = 0.525312500000031 y[1] (numeric) = 0.5253124800383877 absolute error = 1.996164333828432e-08 relative error = 3.799955900208569e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.02400000000003 y[1] (closed_form) = 0.5242880000000312 y[1] (numeric) = 0.5242879799371233 absolute error = 2.00629078905834e-08 relative error = 3.826695993534509e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.023000000000031 y[1] (closed_form) = 0.5232645000000312 y[1] (numeric) = 0.5232644798356306 absolute error = 2.016440059371405e-08 relative error = 3.853577032975263e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.022000000000031 y[1] (closed_form) = 0.5222420000000313 y[1] (numeric) = 0.5222419797339094 absolute error = 2.026612189176547e-08 relative error = 3.880599777835611e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.021000000000031 y[1] (closed_form) = 0.5212205000000314 y[1] (numeric) = 0.5212204796319593 absolute error = 2.036807211780456e-08 relative error = 3.907764970449807e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.020000000000031 y[1] (closed_form) = 0.5202000000000315 y[1] (numeric) = 0.5201999795297801 absolute error = 2.047025138285363e-08 relative error = 3.935073314658284e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.019000000000031 y[1] (closed_form) = 0.5191805000000316 y[1] (numeric) = 0.5191804794273716 absolute error = 2.057266001997959e-08 relative error = 3.962525560951989e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.018000000000031 y[1] (closed_form) = 0.5181620000000317 y[1] (numeric) = 0.5181619793247333 absolute error = 2.067529836224935e-08 relative error = 3.990122464064923e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.017000000000031 y[1] (closed_form) = 0.5171445000000318 y[1] (numeric) = 0.517144479221865 absolute error = 2.077816674272981e-08 relative error = 4.017864783001372e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.016000000000031 y[1] (closed_form) = 0.5161280000000318 y[1] (numeric) = 0.5161279791187665 absolute error = 2.088126527244327e-08 relative error = 4.045753238042111e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.015000000000031 y[1] (closed_form) = 0.5151125000000319 y[1] (numeric) = 0.5151124790154374 absolute error = 2.098459450650125e-08 relative error = 4.073788639666083e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.014000000000032 y[1] (closed_form) = 0.514098000000032 y[1] (numeric) = 0.5140979789118776 absolute error = 2.108815444490375e-08 relative error = 4.101971695066395e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.013000000000032 y[1] (closed_form) = 0.513084500000032 y[1] (numeric) = 0.5130844788080866 absolute error = 2.119194542071767e-08 relative error = 4.130303180220091e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.012000000000032 y[1] (closed_form) = 0.5120720000000322 y[1] (numeric) = 0.5120719787040643 absolute error = 2.129596787803223e-08 relative error = 4.158783897192366e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.011000000000032 y[1] (closed_form) = 0.5110605000000322 y[1] (numeric) = 0.5110604785998103 absolute error = 2.140022192786972e-08 relative error = 4.187414587483943e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.010000000000032 y[1] (closed_form) = 0.5100500000000323 y[1] (numeric) = 0.5100499784953243 absolute error = 2.150470801431936e-08 relative error = 4.216196062017057e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.009000000000032 y[1] (closed_form) = 0.5090405000000324 y[1] (numeric) = 0.5090404783906061 absolute error = 2.160942635942575e-08 relative error = 4.245129092758706e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.008000000000032 y[1] (closed_form) = 0.5080320000000325 y[1] (numeric) = 0.5080319782856553 absolute error = 2.17143771852335e-08 relative error = 4.27421445602484e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.007000000000032 y[1] (closed_form) = 0.5070245000000325 y[1] (numeric) = 0.5070244781804716 absolute error = 2.181956093583182e-08 relative error = 4.303452976302016e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.006000000000032 y[1] (closed_form) = 0.5060180000000326 y[1] (numeric) = 0.5060179780750548 absolute error = 2.19249778332653e-08 relative error = 4.332845438949581e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.005000000000033 y[1] (closed_form) = 0.5050125000000327 y[1] (numeric) = 0.5050124779694045 absolute error = 2.203062821060087e-08 relative error = 4.362392655746034e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.004000000000033 y[1] (closed_form) = 0.5040080000000328 y[1] (numeric) = 0.5040079778635206 absolute error = 2.213651217886081e-08 relative error = 4.392095399053066e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.003000000000033 y[1] (closed_form) = 0.5030045000000328 y[1] (numeric) = 0.5030044777574025 absolute error = 2.224263029315665e-08 relative error = 4.421954533837212e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.002000000000033 y[1] (closed_form) = 0.5020020000000329 y[1] (numeric) = 0.5020019776510501 absolute error = 2.234898277553299e-08 relative error = 4.451970863767778e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.001000000000033 y[1] (closed_form) = 0.501000500000033 y[1] (numeric) = 0.5010004775444632 absolute error = 2.245556984803443e-08 relative error = 4.482145197067258e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 1.000000000000033 y[1] (closed_form) = 0.5000000000000331 y[1] (numeric) = 0.4999999774376413 absolute error = 2.256239178821673e-08 relative error = 4.512478357643047e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9990000000000331 y[1] (closed_form) = 0.499000500000033 y[1] (numeric) = 0.4990004773305842 absolute error = 2.266944887363564e-08 relative error = 4.542971174103863e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9980000000000331 y[1] (closed_form) = 0.498002000000033 y[1] (numeric) = 0.4980019772232915 absolute error = 2.277674149286923e-08 relative error = 4.573624502083872e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9970000000000331 y[1] (closed_form) = 0.497004500000033 y[1] (numeric) = 0.4970044771157631 absolute error = 2.288426992347325e-08 relative error = 4.604439179820652e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9960000000000331 y[1] (closed_form) = 0.4960080000000329 y[1] (numeric) = 0.4960079770079984 absolute error = 2.299203449851461e-08 relative error = 4.635416061537936e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9950000000000331 y[1] (closed_form) = 0.4950125000000329 y[1] (numeric) = 0.4950124768999973 absolute error = 2.310003560657137e-08 relative error = 4.666556017589421e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9940000000000331 y[1] (closed_form) = 0.4940180000000329 y[1] (numeric) = 0.4940179767917595 absolute error = 2.320827335866582e-08 relative error = 4.697859867183843e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9930000000000331 y[1] (closed_form) = 0.4930245000000328 y[1] (numeric) = 0.4930244766832846 absolute error = 2.331674819888718e-08 relative error = 4.729328501704404e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9920000000000331 y[1] (closed_form) = 0.4920320000000328 y[1] (numeric) = 0.4920319765745724 absolute error = 2.342546046030236e-08 relative error = 4.760962795163891e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9910000000000331 y[1] (closed_form) = 0.4910405000000328 y[1] (numeric) = 0.4910404764656224 absolute error = 2.353441036495596e-08 relative error = 4.792763604011154e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9900000000000331 y[1] (closed_form) = 0.4900500000000327 y[1] (numeric) = 0.4900499763564345 absolute error = 2.364359824591489e-08 relative error = 4.824731812246364e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9890000000000331 y[1] (closed_form) = 0.4890605000000327 y[1] (numeric) = 0.4890604762470083 absolute error = 2.375302443624605e-08 relative error = 4.856868308981089e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9880000000000331 y[1] (closed_form) = 0.4880720000000327 y[1] (numeric) = 0.4880719761373434 absolute error = 2.386268926901636e-08 relative error = 4.889173988471939e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9870000000000331 y[1] (closed_form) = 0.4870845000000326 y[1] (numeric) = 0.4870844760274397 absolute error = 2.397259296627041e-08 relative error = 4.921649727361229e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9860000000000331 y[1] (closed_form) = 0.4860980000000326 y[1] (numeric) = 0.4860979759172966 absolute error = 2.408273597209742e-08 relative error = 4.954296452998327e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9850000000000331 y[1] (closed_form) = 0.4851125000000326 y[1] (numeric) = 0.4851124758069141 absolute error = 2.4193118508542e-08 relative error = 4.987115052393079e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9840000000000331 y[1] (closed_form) = 0.4841280000000325 y[1] (numeric) = 0.4841279756962916 absolute error = 2.430374090867105e-08 relative error = 5.020106440583773e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9830000000000331 y[1] (closed_form) = 0.4831445000000325 y[1] (numeric) = 0.483144475585429 absolute error = 2.441460350555147e-08 relative error = 5.053271537924953e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9820000000000331 y[1] (closed_form) = 0.4821620000000325 y[1] (numeric) = 0.4821619754743259 absolute error = 2.452570657673903e-08 relative error = 5.086611258609632e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9810000000000331 y[1] (closed_form) = 0.4811805000000324 y[1] (numeric) = 0.4811804753629819 absolute error = 2.463705051081178e-08 relative error = 5.120126545196681e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9800000000000331 y[1] (closed_form) = 0.4802000000000324 y[1] (numeric) = 0.4801999752513968 absolute error = 2.474863558532547e-08 relative error = 5.153818322641359e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9790000000000331 y[1] (closed_form) = 0.4792205000000324 y[1] (numeric) = 0.4792204751395702 absolute error = 2.486046218885818e-08 relative error = 5.187687544430278e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9780000000000331 y[1] (closed_form) = 0.4782420000000324 y[1] (numeric) = 0.4782419750275018 absolute error = 2.497253059896565e-08 relative error = 5.221735146424605e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9770000000000331 y[1] (closed_form) = 0.4772645000000323 y[1] (numeric) = 0.4772644749151912 absolute error = 2.508484109320364e-08 relative error = 5.255962069921802e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9760000000000331 y[1] (closed_form) = 0.4762880000000323 y[1] (numeric) = 0.4762879748026382 absolute error = 2.519739411566135e-08 relative error = 5.29036929665657e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9750000000000331 y[1] (closed_form) = 0.4753125000000322 y[1] (numeric) = 0.4753124746898424 absolute error = 2.531018983287225e-08 relative error = 5.324957755765005e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9740000000000331 y[1] (closed_form) = 0.4743380000000322 y[1] (numeric) = 0.4743379745768035 absolute error = 2.542322868892555e-08 relative error = 5.359728440252272e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9730000000000331 y[1] (closed_form) = 0.4733645000000322 y[1] (numeric) = 0.4733644744635211 absolute error = 2.553651101688814e-08 relative error = 5.394682325541186e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9720000000000331 y[1] (closed_form) = 0.4723920000000321 y[1] (numeric) = 0.472391974349995 absolute error = 2.565003709431579e-08 relative error = 5.42982038102128e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9710000000000331 y[1] (closed_form) = 0.4714205000000321 y[1] (numeric) = 0.4714204742362248 absolute error = 2.576380730978656e-08 relative error = 5.465143605291837e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9700000000000331 y[1] (closed_form) = 0.4704500000000321 y[1] (numeric) = 0.4704499741222101 absolute error = 2.587782194085619e-08 relative error = 5.500652979244219e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9690000000000331 y[1] (closed_form) = 0.4694805000000321 y[1] (numeric) = 0.4694804740079507 absolute error = 2.599208137610276e-08 relative error = 5.536349513153578e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9680000000000331 y[1] (closed_form) = 0.468512000000032 y[1] (numeric) = 0.4685119738934461 absolute error = 2.610658589308201e-08 relative error = 5.572234199568043e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9670000000000331 y[1] (closed_form) = 0.4675445000000319 y[1] (numeric) = 0.4675444737786961 absolute error = 2.622133582486086e-08 relative error = 5.608308048722435e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9660000000000331 y[1] (closed_form) = 0.4665780000000319 y[1] (numeric) = 0.4665779736637004 absolute error = 2.633633156001736e-08 relative error = 5.644572088700186e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9650000000000331 y[1] (closed_form) = 0.4656125000000319 y[1] (numeric) = 0.4656124735484585 absolute error = 2.645157343161841e-08 relative error = 5.681027341752338e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9640000000000331 y[1] (closed_form) = 0.4646480000000319 y[1] (numeric) = 0.4646479734329701 absolute error = 2.656706177273094e-08 relative error = 5.717674836161808e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9630000000000331 y[1] (closed_form) = 0.4636845000000318 y[1] (numeric) = 0.4636844733172349 absolute error = 2.668279686091068e-08 relative error = 5.754515594312265e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9620000000000331 y[1] (closed_form) = 0.4627220000000318 y[1] (numeric) = 0.4627219732012526 absolute error = 2.679877914024686e-08 relative error = 5.791550680591159e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.9610000000000331 y[1] (closed_form) = 0.4617605000000318 y[1] (numeric) = 0.4617604730850228 absolute error = 2.691500894380638e-08 relative error = 5.82878114169673e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.960000000000033 y[1] (closed_form) = 0.4608000000000317 y[1] (numeric) = 0.4607999729685452 absolute error = 2.7031486549145e-08 relative error = 5.866208018477244e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.959000000000033 y[1] (closed_form) = 0.4598405000000317 y[1] (numeric) = 0.4598404728518193 absolute error = 2.714821234484077e-08 relative error = 5.903832382062672e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.958000000000033 y[1] (closed_form) = 0.4588820000000317 y[1] (numeric) = 0.458881972734845 absolute error = 2.726518666396061e-08 relative error = 5.941655297867148e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.957000000000033 y[1] (closed_form) = 0.4579245000000316 y[1] (numeric) = 0.4579244726176218 absolute error = 2.738240983957141e-08 relative error = 5.97967783762815e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.956000000000033 y[1] (closed_form) = 0.4569680000000316 y[1] (numeric) = 0.4569679725001493 absolute error = 2.749988226025124e-08 relative error = 6.017901091597079e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.955000000000033 y[1] (closed_form) = 0.4560125000000316 y[1] (numeric) = 0.4560124723824273 absolute error = 2.761760431457816e-08 relative error = 6.056326156536553e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.954000000000033 y[1] (closed_form) = 0.4550580000000315 y[1] (numeric) = 0.4550579722644553 absolute error = 2.773557628010792e-08 relative error = 6.094954111367341e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.953000000000033 y[1] (closed_form) = 0.4541045000000315 y[1] (numeric) = 0.454104472146233 absolute error = 2.785379848990743e-08 relative error = 6.133786053629836e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.952000000000033 y[1] (closed_form) = 0.4531520000000315 y[1] (numeric) = 0.4531519720277601 absolute error = 2.797227138806591e-08 relative error = 6.172823111905931e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.951000000000033 y[1] (closed_form) = 0.4522005000000314 y[1] (numeric) = 0.4522004719090362 absolute error = 2.809099525213909e-08 relative error = 6.212066384742419e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.950000000000033 y[1] (closed_form) = 0.4512500000000314 y[1] (numeric) = 0.4512499717900609 absolute error = 2.820997052621621e-08 relative error = 6.251517014119501e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.949000000000033 y[1] (closed_form) = 0.4503005000000314 y[1] (numeric) = 0.4503004716708339 absolute error = 2.832919748785301e-08 relative error = 6.291176111918827e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.948000000000033 y[1] (closed_form) = 0.4493520000000313 y[1] (numeric) = 0.4493519715513548 absolute error = 2.844867652562755e-08 relative error = 6.331044821348423e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.947000000000033 y[1] (closed_form) = 0.4484045000000313 y[1] (numeric) = 0.4484044714316233 absolute error = 2.856840797260674e-08 relative error = 6.371124280109754e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.946000000000033 y[1] (closed_form) = 0.4474580000000313 y[1] (numeric) = 0.447457971311639 absolute error = 2.868839227287978e-08 relative error = 6.411415657531607e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.945000000000033 y[1] (closed_form) = 0.4465125000000312 y[1] (numeric) = 0.4465124711914015 absolute error = 2.880862970400244e-08 relative error = 6.451920092718665e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.944000000000033 y[1] (closed_form) = 0.4455680000000312 y[1] (numeric) = 0.4455679710709105 absolute error = 2.892912065455278e-08 relative error = 6.492638756497494e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.943000000000033 y[1] (closed_form) = 0.4446245000000312 y[1] (numeric) = 0.4446244709501656 absolute error = 2.904986556861999e-08 relative error = 6.533572839242542e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.942000000000033 y[1] (closed_form) = 0.4436820000000311 y[1] (numeric) = 0.4436819708291664 absolute error = 2.91708646682487e-08 relative error = 6.574723488500018e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.941000000000033 y[1] (closed_form) = 0.4427405000000311 y[1] (numeric) = 0.4427404707079126 absolute error = 2.929211845303925e-08 relative error = 6.616091921348329e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.940000000000033 y[1] (closed_form) = 0.4418000000000311 y[1] (numeric) = 0.4417999705864038 absolute error = 2.941362725605856e-08 relative error = 6.657679324594046e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.939000000000033 y[1] (closed_form) = 0.440860500000031 y[1] (numeric) = 0.4408604704646396 absolute error = 2.953539141037353e-08 relative error = 6.699486892196388e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.938000000000033 y[1] (closed_form) = 0.439922000000031 y[1] (numeric) = 0.4399219703426197 absolute error = 2.965741130456223e-08 relative error = 6.741515837934939e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.937000000000033 y[1] (closed_form) = 0.438984500000031 y[1] (numeric) = 0.4389844702203436 absolute error = 2.977968738271386e-08 relative error = 6.783767395594094e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.936000000000033 y[1] (closed_form) = 0.4380480000000309 y[1] (numeric) = 0.438047970097811 absolute error = 2.990221992238418e-08 relative error = 6.826242768459636e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.935000000000033 y[1] (closed_form) = 0.4371125000000309 y[1] (numeric) = 0.4371124699750215 absolute error = 3.002500936766239e-08 relative error = 6.868943205161205e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.934000000000033 y[1] (closed_form) = 0.4361780000000308 y[1] (numeric) = 0.4361779698519748 absolute error = 3.014805605161541e-08 relative error = 6.911869936496862e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.933000000000033 y[1] (closed_form) = 0.4352445000000308 y[1] (numeric) = 0.4352444697286704 absolute error = 3.02713603628213e-08 relative error = 6.955024213475221e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.932000000000033 y[1] (closed_form) = 0.4343120000000308 y[1] (numeric) = 0.434311969605108 absolute error = 3.039492274536926e-08 relative error = 6.998407307504076e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.931000000000033 y[1] (closed_form) = 0.4333805000000308 y[1] (numeric) = 0.4333804694812873 absolute error = 3.051874347681505e-08 relative error = 7.042020459345282e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.930000000000033 y[1] (closed_form) = 0.4324500000000307 y[1] (numeric) = 0.4324499693572077 absolute error = 3.064282300124788e-08 relative error = 7.08586495577424e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.929000000000033 y[1] (closed_form) = 0.4315205000000307 y[1] (numeric) = 0.431520469232869 absolute error = 3.07671617072458e-08 relative error = 7.129942078590384e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.928000000000033 y[1] (closed_form) = 0.4305920000000306 y[1] (numeric) = 0.4305919691082707 absolute error = 3.089175992787574e-08 relative error = 7.174253104533652e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.927000000000033 y[1] (closed_form) = 0.4296645000000306 y[1] (numeric) = 0.4296644689834124 absolute error = 3.101661816273804e-08 relative error = 7.218799356878642e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.926000000000033 y[1] (closed_form) = 0.4287380000000306 y[1] (numeric) = 0.4287379688582938 absolute error = 3.114173674489962e-08 relative error = 7.263582128222223e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.925000000000033 y[1] (closed_form) = 0.4278125000000305 y[1] (numeric) = 0.4278124687329146 absolute error = 3.126711595191622e-08 relative error = 7.308602706071934e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.924000000000033 y[1] (closed_form) = 0.4268880000000305 y[1] (numeric) = 0.4268879686072741 absolute error = 3.139275639441053e-08 relative error = 7.353862463786351e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.923000000000033 y[1] (closed_form) = 0.4259645000000305 y[1] (numeric) = 0.4259644684813722 absolute error = 3.151865829442713e-08 relative error = 7.399362692061162e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.922000000000033 y[1] (closed_form) = 0.4250420000000305 y[1] (numeric) = 0.4250419683552084 absolute error = 3.164482209605524e-08 relative error = 7.445104741661523e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.921000000000033 y[1] (closed_form) = 0.4241205000000304 y[1] (numeric) = 0.4241204682287822 absolute error = 3.177124824338406e-08 relative error = 7.49108997169007e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.920000000000033 y[1] (closed_form) = 0.4232000000000304 y[1] (numeric) = 0.4231999681020933 absolute error = 3.189793706948052e-08 relative error = 7.53731972341168e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.919000000000033 y[1] (closed_form) = 0.4222805000000303 y[1] (numeric) = 0.4222804679751413 absolute error = 3.202488896292266e-08 relative error = 7.58379535946376e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.918000000000033 y[1] (closed_form) = 0.4213620000000303 y[1] (numeric) = 0.4213619678479259 absolute error = 3.215210442331085e-08 relative error = 7.63051827723158e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.917000000000033 y[1] (closed_form) = 0.4204445000000303 y[1] (numeric) = 0.4204444677204465 absolute error = 3.227958372820083e-08 relative error = 7.677489829977206e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.916000000000033 y[1] (closed_form) = 0.4195280000000302 y[1] (numeric) = 0.4195279675927028 absolute error = 3.240732737719298e-08 relative error = 7.724711432178699e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.915000000000033 y[1] (closed_form) = 0.4186125000000302 y[1] (numeric) = 0.4186124674646944 absolute error = 3.253533575886536e-08 relative error = 7.772184480602707e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.914000000000033 y[1] (closed_form) = 0.4176980000000302 y[1] (numeric) = 0.4176979673364209 absolute error = 3.266360926179601e-08 relative error = 7.819910380656276e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.913000000000033 y[1] (closed_form) = 0.4167845000000301 y[1] (numeric) = 0.4167844672078818 absolute error = 3.279214833007416e-08 relative error = 7.867890559766926e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.912000000000033 y[1] (closed_form) = 0.4158720000000301 y[1] (numeric) = 0.4158719670790768 absolute error = 3.29209532967667e-08 relative error = 7.916126427546051e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.911000000000033 y[1] (closed_form) = 0.41496050000003 y[1] (numeric) = 0.4149604669500054 absolute error = 3.305002460596285e-08 relative error = 7.96461942906866e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.910000000000033 y[1] (closed_form) = 0.4140500000000301 y[1] (numeric) = 0.4140499668206673 absolute error = 3.317936275726296e-08 relative error = 8.013371031822378e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.909000000000033 y[1] (closed_form) = 0.41314050000003 y[1] (numeric) = 0.413140466691062 absolute error = 3.330896797271166e-08 relative error = 8.06238264530087e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.908000000000033 y[1] (closed_form) = 0.41223200000003 y[1] (numeric) = 0.4122319665611892 absolute error = 3.343884080742043e-08 relative error = 8.111655768455143e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.907000000000033 y[1] (closed_form) = 0.41132450000003 y[1] (numeric) = 0.4113244664310483 absolute error = 3.356898170547851e-08 relative error = 8.161191882680477e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.906000000000033 y[1] (closed_form) = 0.4104180000000299 y[1] (numeric) = 0.4104179663006389 absolute error = 3.369939099995278e-08 relative error = 8.210992451586024e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.905000000000033 y[1] (closed_form) = 0.4095125000000299 y[1] (numeric) = 0.4095124661699607 absolute error = 3.383006913493247e-08 relative error = 8.26105897498367e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.904000000000033 y[1] (closed_form) = 0.4086080000000298 y[1] (numeric) = 0.4086079660390133 absolute error = 3.396101655450678e-08 relative error = 8.311392962082069e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.903000000000033 y[1] (closed_form) = 0.4077045000000298 y[1] (numeric) = 0.4077044659077961 absolute error = 3.409223364725378e-08 relative error = 8.36199591793843e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.902000000000033 y[1] (closed_form) = 0.4068020000000298 y[1] (numeric) = 0.4068019657763088 absolute error = 3.422372091277381e-08 relative error = 8.412869384312593e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.901000000000033 y[1] (closed_form) = 0.4059005000000298 y[1] (numeric) = 0.405900465644551 absolute error = 3.435547873964495e-08 relative error = 8.464014885333335e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.900000000000033 y[1] (closed_form) = 0.4050000000000297 y[1] (numeric) = 0.4049999655125222 absolute error = 3.44875074609341e-08 relative error = 8.515433940970758e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.899000000000033 y[1] (closed_form) = 0.4041005000000297 y[1] (numeric) = 0.404100465380222 absolute error = 3.461980768726391e-08 relative error = 8.567128149374072e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.898000000000033 y[1] (closed_form) = 0.4032020000000296 y[1] (numeric) = 0.40320196524765 absolute error = 3.475237969619016e-08 relative error = 8.619099036261627e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.897000000000033 y[1] (closed_form) = 0.4023045000000296 y[1] (numeric) = 0.4023044651148057 absolute error = 3.488522393180205e-08 relative error = 8.671348178257881e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.896000000000033 y[1] (closed_form) = 0.4014080000000296 y[1] (numeric) = 0.4014079649816886 absolute error = 3.501834094921108e-08 relative error = 8.723877189594751e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.895000000000033 y[1] (closed_form) = 0.4005125000000295 y[1] (numeric) = 0.4005124648482985 absolute error = 3.515173102597302e-08 relative error = 8.77668762547247e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.894000000000033 y[1] (closed_form) = 0.3996180000000295 y[1] (numeric) = 0.3996179647146348 absolute error = 3.528539471719938e-08 relative error = 8.829781120269051e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.893000000000033 y[1] (closed_form) = 0.3987245000000295 y[1] (numeric) = 0.398724464580697 absolute error = 3.541933241146822e-08 relative error = 8.883159277010969e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.892000000000033 y[1] (closed_form) = 0.3978320000000294 y[1] (numeric) = 0.3978319644464848 absolute error = 3.555354460837989e-08 relative error = 8.936823736747487e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.891000000000033 y[1] (closed_form) = 0.3969405000000294 y[1] (numeric) = 0.3969404643119978 absolute error = 3.568803164100132e-08 relative error = 8.990776109013486e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.890000000000033 y[1] (closed_form) = 0.3960500000000294 y[1] (numeric) = 0.3960499641772353 absolute error = 3.5822794064444e-08 relative error = 9.045018069547112e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.889000000000033 y[1] (closed_form) = 0.3951605000000293 y[1] (numeric) = 0.3951604640421971 absolute error = 3.595783226728599e-08 relative error = 9.099551262659937e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.888000000000033 y[1] (closed_form) = 0.3942720000000293 y[1] (numeric) = 0.3942719639068826 absolute error = 3.609314663810537e-08 relative error = 9.154377343078556e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.887000000000033 y[1] (closed_form) = 0.3933845000000293 y[1] (numeric) = 0.3933844637712915 absolute error = 3.622873778752478e-08 relative error = 9.20949803246495e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.886000000000033 y[1] (closed_form) = 0.3924980000000292 y[1] (numeric) = 0.3924979636354232 absolute error = 3.636460599309999e-08 relative error = 9.264914978699835e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.885000000000033 y[1] (closed_form) = 0.3916125000000292 y[1] (numeric) = 0.3916124634992774 absolute error = 3.65007518099425e-08 relative error = 9.320629910929753e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.884000000000033 y[1] (closed_form) = 0.3907280000000292 y[1] (numeric) = 0.3907279633628535 absolute error = 3.663717568214153e-08 relative error = 9.376644540994963e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.883000000000033 y[1] (closed_form) = 0.3898445000000291 y[1] (numeric) = 0.3898444632261511 absolute error = 3.677387805378629e-08 relative error = 9.432960591667586e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.882000000000033 y[1] (closed_form) = 0.3889620000000291 y[1] (numeric) = 0.3889619630891697 absolute error = 3.691085936896599e-08 relative error = 9.489579796731617e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.881000000000033 y[1] (closed_form) = 0.388080500000029 y[1] (numeric) = 0.3880804629519089 absolute error = 3.704812012728098e-08 relative error = 9.546503915367614e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.880000000000033 y[1] (closed_form) = 0.387200000000029 y[1] (numeric) = 0.3871999628143682 absolute error = 3.718566077282048e-08 relative error = 9.603734703723579e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.879000000000033 y[1] (closed_form) = 0.386320500000029 y[1] (numeric) = 0.3863204626765473 absolute error = 3.732348169416255e-08 relative error = 9.661273914834899e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.878000000000033 y[1] (closed_form) = 0.3854420000000289 y[1] (numeric) = 0.3854419625384455 absolute error = 3.746158339090755e-08 relative error = 9.719123341749145e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.877000000000033 y[1] (closed_form) = 0.3845645000000289 y[1] (numeric) = 0.3845644624000625 absolute error = 3.759996641816699e-08 relative error = 9.777284803502184e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.876000000000033 y[1] (closed_form) = 0.3836880000000289 y[1] (numeric) = 0.3836879622613977 absolute error = 3.773863116451892e-08 relative error = 9.835760087497154e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.875000000000033 y[1] (closed_form) = 0.3828125000000289 y[1] (numeric) = 0.3828124621224508 absolute error = 3.787757807405256e-08 relative error = 9.8945510070987e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.874000000000033 y[1] (closed_form) = 0.3819380000000288 y[1] (numeric) = 0.3819379619832212 absolute error = 3.801680764636828e-08 relative error = 9.953659401883397e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.873000000000033 y[1] (closed_form) = 0.3810645000000288 y[1] (numeric) = 0.3810644618437084 absolute error = 3.815632038106642e-08 relative error = 1.00130871233252e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.872000000000033 y[1] (closed_form) = 0.3801920000000287 y[1] (numeric) = 0.380191961703912 absolute error = 3.829611672223621e-08 relative error = 1.007283602028273e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.871000000000033 y[1] (closed_form) = 0.3793205000000287 y[1] (numeric) = 0.3793204615638315 absolute error = 3.843619716947799e-08 relative error = 1.013290796818919e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.870000000000033 y[1] (closed_form) = 0.3784500000000287 y[1] (numeric) = 0.3784499614234665 absolute error = 3.857656222239214e-08 relative error = 1.019330485464109e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.869000000000033 y[1] (closed_form) = 0.3775805000000286 y[1] (numeric) = 0.3775804612828164 absolute error = 3.871721226955671e-08 relative error = 1.025402855008502e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.868000000000033 y[1] (closed_form) = 0.3767120000000286 y[1] (numeric) = 0.3767119611418807 absolute error = 3.885814792159437e-08 relative error = 1.031508099598404e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.867000000000033 y[1] (closed_form) = 0.3758445000000286 y[1] (numeric) = 0.375844461000659 absolute error = 3.899936951157201e-08 relative error = 1.037646407266012e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.866000000000033 y[1] (closed_form) = 0.3749780000000286 y[1] (numeric) = 0.3749779608591509 absolute error = 3.914087765011232e-08 relative error = 1.043817974657429e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.865000000000033 y[1] (closed_form) = 0.3741125000000285 y[1] (numeric) = 0.3741124607173558 absolute error = 3.928267272579333e-08 relative error = 1.050022993773005e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.864000000000033 y[1] (closed_form) = 0.3732480000000285 y[1] (numeric) = 0.3732479605752732 absolute error = 3.942475534923773e-08 relative error = 1.056261663806229e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.863000000000033 y[1] (closed_form) = 0.3723845000000284 y[1] (numeric) = 0.3723844604329026 absolute error = 3.956712585351241e-08 relative error = 1.062534177805719e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.862000000000033 y[1] (closed_form) = 0.3715220000000284 y[1] (numeric) = 0.3715219602902435 absolute error = 3.970978490475119e-08 relative error = 1.068840739034247e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.861000000000033 y[1] (closed_form) = 0.3706605000000284 y[1] (numeric) = 0.3706604601472955 absolute error = 3.985273283602098e-08 relative error = 1.075181543110688e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.860000000000033 y[1] (closed_form) = 0.3698000000000283 y[1] (numeric) = 0.3697999600040581 absolute error = 3.999597025794444e-08 relative error = 1.081556794427836e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.859000000000033 y[1] (closed_form) = 0.3689405000000283 y[1] (numeric) = 0.3689404598605307 absolute error = 4.013949761461078e-08 relative error = 1.087966694212419e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.858000000000033 y[1] (closed_form) = 0.3680820000000283 y[1] (numeric) = 0.3680819597167129 absolute error = 4.028331540562036e-08 relative error = 1.094411446515104e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.857000000000033 y[1] (closed_form) = 0.3672245000000283 y[1] (numeric) = 0.3672244595726041 absolute error = 4.042742418608469e-08 relative error = 1.100891258237987e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.856000000000033 y[1] (closed_form) = 0.3663680000000282 y[1] (numeric) = 0.3663679594282038 absolute error = 4.057182440009299e-08 relative error = 1.10740633461683e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.855000000000033 y[1] (closed_form) = 0.3655125000000282 y[1] (numeric) = 0.3655124592835116 absolute error = 4.071651654724562e-08 relative error = 1.11395688375206e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.854000000000033 y[1] (closed_form) = 0.3646580000000281 y[1] (numeric) = 0.3646579591385269 absolute error = 4.086150118265408e-08 relative error = 1.12054311663671e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.853000000000033 y[1] (closed_form) = 0.3638045000000281 y[1] (numeric) = 0.3638044589932493 absolute error = 4.100677880591874e-08 relative error = 1.127165244132922e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.852000000000033 y[1] (closed_form) = 0.3629520000000281 y[1] (numeric) = 0.3629519588476782 absolute error = 4.115234986112881e-08 relative error = 1.133823476964602e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.851000000000033 y[1] (closed_form) = 0.362100500000028 y[1] (numeric) = 0.3621004587018131 absolute error = 4.12982149033958e-08 relative error = 1.140518030309061e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.850000000000033 y[1] (closed_form) = 0.361250000000028 y[1] (numeric) = 0.3612499585556535 absolute error = 4.144437448783123e-08 relative error = 1.147249120770326e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.849000000000033 y[1] (closed_form) = 0.360400500000028 y[1] (numeric) = 0.3604004584091989 absolute error = 4.159082911403544e-08 relative error = 1.154016964849722e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8480000000000329 y[1] (closed_form) = 0.359552000000028 y[1] (numeric) = 0.3595519582624487 absolute error = 4.173757928160882e-08 relative error = 1.160821780482533e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8470000000000329 y[1] (closed_form) = 0.3587045000000279 y[1] (numeric) = 0.3587044581154024 absolute error = 4.188462549015171e-08 relative error = 1.167663787048907e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8460000000000329 y[1] (closed_form) = 0.3578580000000279 y[1] (numeric) = 0.3578579579680596 absolute error = 4.203196829477562e-08 relative error = 1.174543206936057e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8450000000000329 y[1] (closed_form) = 0.3570125000000278 y[1] (numeric) = 0.3570124578204196 absolute error = 4.217960819508093e-08 relative error = 1.181460262457971e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8440000000000329 y[1] (closed_form) = 0.3561680000000278 y[1] (numeric) = 0.356167957672482 absolute error = 4.232754574617914e-08 relative error = 1.188415178965427e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8430000000000329 y[1] (closed_form) = 0.3553245000000278 y[1] (numeric) = 0.3553244575242463 absolute error = 4.247578150318176e-08 relative error = 1.195408183313519e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8420000000000329 y[1] (closed_form) = 0.3544820000000277 y[1] (numeric) = 0.3544819573757118 absolute error = 4.262431591017801e-08 relative error = 1.202439500741213e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8410000000000329 y[1] (closed_form) = 0.3536405000000277 y[1] (numeric) = 0.3536404572268781 absolute error = 4.27731496333017e-08 relative error = 1.209509364263944e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8400000000000329 y[1] (closed_form) = 0.3528000000000276 y[1] (numeric) = 0.3527999570777446 absolute error = 4.292228300561973e-08 relative error = 1.216617999025407e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8390000000000329 y[1] (closed_form) = 0.3519605000000277 y[1] (numeric) = 0.3519604569283108 absolute error = 4.307171680428823e-08 relative error = 1.223765644277834e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8380000000000329 y[1] (closed_form) = 0.3511220000000276 y[1] (numeric) = 0.3511219567785762 absolute error = 4.32214513623741e-08 relative error = 1.230952528248606e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8370000000000329 y[1] (closed_form) = 0.3502845000000276 y[1] (numeric) = 0.3502844566285402 absolute error = 4.33714874015223e-08 relative error = 1.238178891772799e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8360000000000329 y[1] (closed_form) = 0.3494480000000275 y[1] (numeric) = 0.3494479564782023 absolute error = 4.352182525479975e-08 relative error = 1.245444966198013e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8350000000000329 y[1] (closed_form) = 0.3486125000000275 y[1] (numeric) = 0.3486124563275618 absolute error = 4.367246569936256e-08 relative error = 1.252750997148958e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8340000000000329 y[1] (closed_form) = 0.3477780000000275 y[1] (numeric) = 0.3477779561766184 absolute error = 4.382340906827764e-08 relative error = 1.260097219153431e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8330000000000329 y[1] (closed_form) = 0.3469445000000274 y[1] (numeric) = 0.3469444560253714 absolute error = 4.39746560276788e-08 relative error = 1.267483877901951e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8320000000000329 y[1] (closed_form) = 0.3461120000000274 y[1] (numeric) = 0.3461119558738203 absolute error = 4.412620713267756e-08 relative error = 1.274911217544439e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8310000000000329 y[1] (closed_form) = 0.3452805000000274 y[1] (numeric) = 0.3452804557219645 absolute error = 4.427806288287428e-08 relative error = 1.282379482272262e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8300000000000329 y[1] (closed_form) = 0.3444500000000273 y[1] (numeric) = 0.3444499555698035 absolute error = 4.443022388889162e-08 relative error = 1.28988892114641e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8290000000000329 y[1] (closed_form) = 0.3436205000000273 y[1] (numeric) = 0.3436204554173367 absolute error = 4.458269065032994e-08 relative error = 1.297439781687251e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8280000000000329 y[1] (closed_form) = 0.3427920000000272 y[1] (numeric) = 0.3427919552645635 absolute error = 4.473546372230075e-08 relative error = 1.305032314706796e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8270000000000329 y[1] (closed_form) = 0.3419645000000273 y[1] (numeric) = 0.3419644551114834 absolute error = 4.488854382644902e-08 relative error = 1.312666777587891e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8260000000000329 y[1] (closed_form) = 0.3411380000000272 y[1] (numeric) = 0.3411379549580959 absolute error = 4.504193129584166e-08 relative error = 1.320343418084121e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8250000000000329 y[1] (closed_form) = 0.3403125000000272 y[1] (numeric) = 0.3403124548044003 absolute error = 4.519562685212364e-08 relative error = 1.328062497031994e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8240000000000329 y[1] (closed_form) = 0.3394880000000272 y[1] (numeric) = 0.3394879546503961 absolute error = 4.534963105040646e-08 relative error = 1.335824272151087e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8230000000000329 y[1] (closed_form) = 0.3386645000000271 y[1] (numeric) = 0.3386644544960827 absolute error = 4.550394439029048e-08 relative error = 1.343629001276686e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8220000000000329 y[1] (closed_form) = 0.3378420000000271 y[1] (numeric) = 0.3378419543414596 absolute error = 4.565856742688723e-08 relative error = 1.351476945639784e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8210000000000329 y[1] (closed_form) = 0.337020500000027 y[1] (numeric) = 0.3370204541865262 absolute error = 4.581350082633051e-08 relative error = 1.359368371547928e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8200000000000329 y[1] (closed_form) = 0.336200000000027 y[1] (numeric) = 0.3361999540312818 absolute error = 4.596874514373184e-08 relative error = 1.367303543834865e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8190000000000329 y[1] (closed_form) = 0.3353805000000269 y[1] (numeric) = 0.335380453875726 absolute error = 4.612430093420272e-08 relative error = 1.375282729144927e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8180000000000329 y[1] (closed_form) = 0.3345620000000269 y[1] (numeric) = 0.3345619537198581 absolute error = 4.628016886387698e-08 relative error = 1.383306199265704e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8170000000000329 y[1] (closed_form) = 0.3337445000000269 y[1] (numeric) = 0.3337444535636775 absolute error = 4.643634937684382e-08 relative error = 1.391374221203348e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8160000000000329 y[1] (closed_form) = 0.3329280000000269 y[1] (numeric) = 0.3329279534071837 absolute error = 4.659284313923706e-08 relative error = 1.399487070454672e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8150000000000329 y[1] (closed_form) = 0.3321125000000268 y[1] (numeric) = 0.3321124532503761 absolute error = 4.674965070616821e-08 relative error = 1.407645021074619e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8140000000000329 y[1] (closed_form) = 0.3312980000000268 y[1] (numeric) = 0.3312979530932541 absolute error = 4.690677268825993e-08 relative error = 1.415848350676918e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8130000000000329 y[1] (closed_form) = 0.3304845000000268 y[1] (numeric) = 0.3304844529358171 absolute error = 4.70642096961349e-08 relative error = 1.4240973387899e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8120000000000329 y[1] (closed_form) = 0.3296720000000267 y[1] (numeric) = 0.3296719527780644 absolute error = 4.722196228490461e-08 relative error = 1.432392265187847e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8110000000000329 y[1] (closed_form) = 0.3288605000000267 y[1] (numeric) = 0.3288604526199956 absolute error = 4.738003112070288e-08 relative error = 1.44073341494947e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8100000000000329 y[1] (closed_form) = 0.3280500000000267 y[1] (numeric) = 0.32804995246161 absolute error = 4.753841670313008e-08 relative error = 1.449121070054145e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8090000000000329 y[1] (closed_form) = 0.3272405000000266 y[1] (numeric) = 0.3272404523029069 absolute error = 4.769711975383117e-08 relative error = 1.457555521209242e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8080000000000329 y[1] (closed_form) = 0.3264320000000266 y[1] (numeric) = 0.3264319521438858 absolute error = 4.785614077240652e-08 relative error = 1.466037054345242e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8070000000000329 y[1] (closed_form) = 0.3256245000000266 y[1] (numeric) = 0.3256244519845461 absolute error = 4.801548042498993e-08 relative error = 1.474565962480895e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8060000000000329 y[1] (closed_form) = 0.3248180000000265 y[1] (numeric) = 0.3248179518248873 absolute error = 4.817513926669292e-08 relative error = 1.483142537257448e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8050000000000329 y[1] (closed_form) = 0.3240125000000265 y[1] (numeric) = 0.3240124516649085 absolute error = 4.833511801916046e-08 relative error = 1.491767077478693e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8040000000000329 y[1] (closed_form) = 0.3232080000000265 y[1] (numeric) = 0.3232079515046093 absolute error = 4.849541718199291e-08 relative error = 1.50043987716854e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8030000000000329 y[1] (closed_form) = 0.3224045000000264 y[1] (numeric) = 0.322404451343989 absolute error = 4.865603736581292e-08 relative error = 1.509161235832904e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8020000000000329 y[1] (closed_form) = 0.3216020000000264 y[1] (numeric) = 0.3216019511830471 absolute error = 4.881697929226547e-08 relative error = 1.51793145851896e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8010000000000329 y[1] (closed_form) = 0.3208005000000264 y[1] (numeric) = 0.3208004510217828 absolute error = 4.897824357197322e-08 relative error = 1.526750848953452e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = 0.8000000000000329 y[1] (closed_form) = 0.3200000000000263 y[1] (numeric) = 0.3199999508601956 absolute error = 4.913983076004769e-08 relative error = 1.535619711251364e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 Finished! diff ( y , x , 1 ) = arccos ( cos ( x ) ) ; Iterations = 501 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 0 %