##############ECHO OF PROBLEM################# ##############temp/arccos_cos_1d3_1d1postode.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(1.1); 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=true; 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 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 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = arccos ( cos ( x ) ) ; Iterations = 201 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 %