##############ECHO OF PROBLEM################# ##############temp/lin_arccospostode.ode################# diff ( y , x , 1 ) = arccos ( 0.1 * x + 0.2 ) ; ! #BEGIN FIRST INPUT BLOCK max_terms=30 # Digits:=32; ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-0.8 x_end=0.8 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=100 $glob_max_h=0.00001 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=30.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(10.0 * (0.1 * x + 0.2) * arccos(0.1 * x + 0.2 ) - 10.0 * sqrt(1.0 - expt((0.1 * x + 0.2) , 2 ))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 1.6 estimated_steps 1600000.0000000002 step_error 6.249999999999999e-17 est_needed_step_err 6.249999999999999e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 best_h 1.0e-05 START of Soultion TOP MAIN SOLVE Loop x[1] -0.8 y[1] (analytic) -8.187131183512555 y[1] (numeric) -8.187131183512555 absolute error 0.0 relative error 0.0% Correct digits 16 h 1.0e-05 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] -0.7899900000000456 y[1] (analytic) -8.172616660680983 y[1] (numeric) -8.172616660680898 absolute error 8.526512829121202e-14 relative error 1.0433026756464472e-12% Correct digits 14 h 1.0e-05 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] -0.7799900000000911 y[1] (analytic) -8.15812671692973 y[1] (numeric) -8.15812671692958 absolute error 1.4921397450962104e-13 relative error 1.8290225156710607e-12% Correct digits 14 h 1.0e-05 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] -0.7699900000001366 y[1] (analytic) -8.1436468484418 y[1] (numeric) -8.143646848441582 absolute error 2.184918912462308e-13 relative error 2.682973553648595e-12% Correct digits 14 h 1.0e-05 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] -0.7599900000001821 y[1] (analytic) -8.129177056470317 y[1] (numeric) -8.129177056470027 absolute error 2.8954616482224083e-13 relative error 3.561813979580875e-12% Correct digits 14 h 1.0e-05 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] -0.7499900000002276 y[1] (analytic) -8.114717342279087 y[1] (numeric) -8.114717342278734 absolute error 3.5349501104064984e-13 relative error 4.3562208778225635e-12% Correct digits 14 h 1.0e-05 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] -0.7399900000002732 y[1] (analytic) -8.100267707142647 y[1] (numeric) -8.100267707142228 absolute error 4.192202140984591e-13 relative error 5.175387150832058e-12% Correct digits 14 h 1.0e-05 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] -0.7299900000003187 y[1] (analytic) -8.08582815234625 y[1] (numeric) -8.085828152345755 absolute error 4.956035581926699e-13 relative error 6.129286312483174e-12% Correct digits 14 h 1.0e-05 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] -0.7199900000003642 y[1] (analytic) -8.071398679185892 y[1] (numeric) -8.071398679185384 absolute error 5.080380560684716e-13 relative error 6.294300111560268e-12% Correct digits 14 h 1.0e-05 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] -0.7099900000004097 y[1] (analytic) -8.056979288968321 y[1] (numeric) -8.056979288967733 absolute error 5.879741138414829e-13 relative error 7.297699209014247e-12% Correct digits 14 h 1.0e-05 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] -0.6999900000004552 y[1] (analytic) -8.042569983011045 y[1] (numeric) -8.042569983010416 absolute error 6.288303211476887e-13 relative error 7.818773383085463e-12% Correct digits 14 h 1.0e-05 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] -0.6899900000005007 y[1] (analytic) -8.02817076264235 y[1] (numeric) -8.028170762641683 absolute error 6.679101716144942e-13 relative error 8.31958102738041e-12% Correct digits 14 h 1.0e-05 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] -0.6799900000005462 y[1] (analytic) -8.013781629201308 y[1] (numeric) -8.013781629200588 absolute error 7.194245199571014e-13 relative error 8.977341201008029e-12% Correct digits 14 h 1.0e-05 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] -0.6699900000005917 y[1] (analytic) -7.999402584037792 y[1] (numeric) -7.999402584036998 absolute error 7.94031507211912e-13 relative error 9.92613509409243e-12% Correct digits 14 h 1.0e-05 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] -0.6599900000006372 y[1] (analytic) -7.985033628512491 y[1] (numeric) -7.985033628511629 absolute error 8.624212455288216e-13 relative error 1.0800471051860549e-11% Correct digits 13 h 1.0e-05 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] -0.6499900000006827 y[1] (analytic) -7.97067476399692 y[1] (numeric) -7.970674763996001 absolute error 9.183764859699295e-13 relative error 1.1521941531452059e-11% Correct digits 13 h 1.0e-05 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] -0.6399900000007283 y[1] (analytic) -7.9563259918734275 y[1] (numeric) -7.956325991872442 absolute error 9.85878045867139e-13 relative error 1.2391121817709738e-11% Correct digits 13 h 1.0e-05 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] -0.6299900000007738 y[1] (analytic) -7.94198731353522 y[1] (numeric) -7.941987313534173 absolute error 1.0471623568264476e-12 relative error 1.3185142653675731e-11% Correct digits 13 h 1.0e-05 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] -0.6199900000008193 y[1] (analytic) -7.927658730386371 y[1] (numeric) -7.927658730385253 absolute error 1.1182166304024577e-12 relative error 1.4105256904114476e-11% Correct digits 13 h 1.0e-05 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] -0.6099900000008648 y[1] (analytic) -7.913340243841825 y[1] (numeric) -7.913340243840644 absolute error 1.1803891197814664e-12 relative error 1.491644594329237e-11% Correct digits 13 h 1.0e-05 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] -0.5999900000009103 y[1] (analytic) -7.899031855327424 y[1] (numeric) -7.8990318553261725 absolute error 1.2514433933574765e-12 relative error 1.5842997170766602e-11% Correct digits 13 h 1.0e-05 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] -0.5899900000009558 y[1] (analytic) -7.884733566279918 y[1] (numeric) -7.884733566278601 absolute error 1.3171685964152857e-12 relative error 1.6705302536135494e-11% Correct digits 13 h 1.0e-05 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] -0.5799900000010013 y[1] (analytic) -7.870445378146966 y[1] (numeric) -7.870445378145582 absolute error 1.3846701563124952e-12 relative error 1.7593288432661798e-11% Correct digits 13 h 1.0e-05 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] -0.5699900000010468 y[1] (analytic) -7.856167292387178 y[1] (numeric) -7.856167292385723 absolute error 1.4548362514688051e-12 relative error 1.851839704175569e-11% Correct digits 13 h 1.0e-05 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] -0.5599900000010923 y[1] (analytic) -7.841899310470089 y[1] (numeric) -7.841899310468571 absolute error 1.5187850976872141e-12 relative error 1.9367566931896367e-11% Correct digits 13 h 1.0e-05 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] -0.5499900000011378 y[1] (analytic) -7.82764143387621 y[1] (numeric) -7.827641433874628 absolute error 1.5827339439056232e-12 relative error 2.0219806403700596e-11% Correct digits 13 h 1.0e-05 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] -0.5399900000011834 y[1] (analytic) -7.813393664097024 y[1] (numeric) -7.81339366409537 absolute error 1.6537882174816332e-12 relative error 2.1166068018316824e-11% Correct digits 13 h 1.0e-05 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] -0.5299900000012289 y[1] (analytic) -7.799156002634997 y[1] (numeric) -7.7991560026332785 absolute error 1.7186252421197423e-12 relative error 2.2036041355488893e-11% Correct digits 13 h 1.0e-05 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] -0.5199900000012744 y[1] (analytic) -7.784928451003607 y[1] (numeric) -7.784928451001816 absolute error 1.7905676941154525e-12 relative error 2.3000438673069868e-11% Correct digits 13 h 1.0e-05 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] -0.5099900000013199 y[1] (analytic) -7.770711010727345 y[1] (numeric) -7.770711010725506 absolute error 1.8385293287792592e-12 relative error 2.3659731088200274e-11% Correct digits 13 h 1.0e-05 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] -0.49999000000136534 y[1] (analytic) -7.756503683341734 y[1] (numeric) -7.7565036833398375 absolute error 1.8962609260597674e-12 relative error 2.4447367054466498e-11% Correct digits 13 h 1.0e-05 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] -0.48999000000135534 y[1] (analytic) -7.742306470393267 y[1] (numeric) -7.742306470391401 absolute error 1.866062859789963e-12 relative error 2.410215698546453e-11% Correct digits 13 h 1.0e-05 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] -0.47999000000134534 y[1] (analytic) -7.728119373439654 y[1] (numeric) -7.728119373437802 absolute error 1.851852005074761e-12 relative error 2.3962518118434983e-11% Correct digits 13 h 1.0e-05 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] -0.46999000000133534 y[1] (analytic) -7.713942394049607 y[1] (numeric) -7.713942394047772 absolute error 1.8349766151004587e-12 relative error 2.3787792562671014e-11% Correct digits 13 h 1.0e-05 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] -0.45999000000132534 y[1] (analytic) -7.699775533802924 y[1] (numeric) -7.6997755338011045 absolute error 1.8198775819655566e-12 relative error 2.363546279987097e-11% Correct digits 13 h 1.0e-05 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] -0.44999000000131534 y[1] (analytic) -7.685618794290517 y[1] (numeric) -7.685618794288715 absolute error 1.802114013571554e-12 relative error 2.3447871431124147e-11% Correct digits 13 h 1.0e-05 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] -0.43999000000130534 y[1] (analytic) -7.671472177114413 y[1] (numeric) -7.671472177112626 absolute error 1.787014980436652e-12 relative error 2.3294290055143352e-11% Correct digits 13 h 1.0e-05 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] -0.42999000000129534 y[1] (analytic) -7.657335683887782 y[1] (numeric) -7.657335683886002 absolute error 1.779909553079051e-12 relative error 2.3244502089992685e-11% Correct digits 13 h 1.0e-05 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] -0.41999000000128534 y[1] (analytic) -7.643209316234945 y[1] (numeric) -7.643209316233165 absolute error 1.779909553079051e-12 relative error 2.3287463151092097e-11% Correct digits 13 h 1.0e-05 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] -0.40999000000127533 y[1] (analytic) -7.629093075791387 y[1] (numeric) -7.629093075789615 absolute error 1.7719159473017498e-12 relative error 2.3225774409862527e-11% Correct digits 13 h 1.0e-05 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] -0.39999000000126533 y[1] (analytic) -7.614986964203787 y[1] (numeric) -7.614986964202019 absolute error 1.7683632336229493e-12 relative error 2.322214393715442e-11% Correct digits 13 h 1.0e-05 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] -0.38999000000125533 y[1] (analytic) -7.600890983130014 y[1] (numeric) -7.600890983128263 absolute error 1.751487843648647e-12 relative error 2.3043191219766604e-11% Correct digits 13 h 1.0e-05 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] -0.37999000000124533 y[1] (analytic) -7.58680513423916 y[1] (numeric) -7.586805134237433 absolute error 1.7275070263167436e-12 relative error 2.2769887927139782e-11% Correct digits 13 h 1.0e-05 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] -0.36999000000123533 y[1] (analytic) -7.572729419211548 y[1] (numeric) -7.572729419209832 absolute error 1.715960706860642e-12 relative error 2.265973880576474e-11% Correct digits 13 h 1.0e-05 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] -0.35999000000122533 y[1] (analytic) -7.558663839738748 y[1] (numeric) -7.558663839737049 absolute error 1.6990853168863396e-12 relative error 2.2478646397179443e-11% Correct digits 13 h 1.0e-05 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] -0.34999000000121533 y[1] (analytic) -7.544608397523593 y[1] (numeric) -7.544608397521912 absolute error 1.681321748492337e-12 relative error 2.22850764400735e-11% Correct digits 13 h 1.0e-05 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] -0.33999000000120533 y[1] (analytic) -7.530563094280204 y[1] (numeric) -7.5305630942785395 absolute error 1.6644463585180347e-12 relative error 2.2102548477181678e-11% Correct digits 13 h 1.0e-05 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] -0.3299900000011953 y[1] (analytic) -7.516527931733991 y[1] (numeric) -7.516527931732335 absolute error 1.6564527527407336e-12 relative error 2.203747219174646e-11% Correct digits 13 h 1.0e-05 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] -0.3199900000011853 y[1] (analytic) -7.502502911621686 y[1] (numeric) -7.502502911620045 absolute error 1.6413537196058314e-12 relative error 2.1877415296478017e-11% Correct digits 13 h 1.0e-05 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] -0.3099900000011753 y[1] (analytic) -7.488488035691349 y[1] (numeric) -7.488488035689711 absolute error 1.637801005927031e-12 relative error 2.187091704121053e-11% Correct digits 13 h 1.0e-05 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] -0.2999900000011653 y[1] (analytic) -7.474483305702387 y[1] (numeric) -7.47448330570077 absolute error 1.617372902273928e-12 relative error 2.163859140657939e-11% Correct digits 13 h 1.0e-05 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] -0.2899900000011553 y[1] (analytic) -7.460488723425577 y[1] (numeric) -7.460488723423961 absolute error 1.6155965454345278e-12 relative error 2.1655371455245716e-11% Correct digits 13 h 1.0e-05 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] -0.2799900000011453 y[1] (analytic) -7.446504290643075 y[1] (numeric) -7.446504290641465 absolute error 1.610267474916327e-12 relative error 2.162447521771676e-11% Correct digits 13 h 1.0e-05 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] -0.2699900000011353 y[1] (analytic) -7.4325300091484365 y[1] (numeric) -7.432530009146836 absolute error 1.6004975122996257e-12 relative error 2.153368382407646e-11% Correct digits 13 h 1.0e-05 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] -0.2599900000011253 y[1] (analytic) -7.418565880746639 y[1] (numeric) -7.4185658807450725 absolute error 1.566746732351021e-12 relative error 2.1119266951813282e-11% Correct digits 13 h 1.0e-05 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] -0.24999000000111532 y[1] (analytic) -7.40461190725409 y[1] (numeric) -7.404611907252539 absolute error 1.5507595207964187e-12 relative error 2.0943157321684654e-11% Correct digits 13 h 1.0e-05 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] -0.23999000000110532 y[1] (analytic) -7.390668090498654 y[1] (numeric) -7.3906680904971145 absolute error 1.539213201340317e-12 relative error 2.0826441973752136e-11% Correct digits 13 h 1.0e-05 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] -0.22999000000109532 y[1] (analytic) -7.376734432319663 y[1] (numeric) -7.376734432318146 absolute error 1.5170087408478139e-12 relative error 2.056477367819219e-11% Correct digits 13 h 1.0e-05 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] -0.21999000000108532 y[1] (analytic) -7.362810934567937 y[1] (numeric) -7.362810934566438 absolute error 1.4992451724538114e-12 relative error 2.036240215560811e-11% Correct digits 13 h 1.0e-05 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] -0.20999000000107532 y[1] (analytic) -7.348897599105809 y[1] (numeric) -7.348897599104333 absolute error 1.4761525335416081e-12 relative error 2.0086720676598103e-11% Correct digits 13 h 1.0e-05 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] -0.19999000000106532 y[1] (analytic) -7.33499442780713 y[1] (numeric) -7.334994427805666 absolute error 1.4646062140855065e-12 relative error 1.9967380050530796e-11% Correct digits 13 h 1.0e-05 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] -0.18999000000105531 y[1] (analytic) -7.321101422557296 y[1] (numeric) -7.321101422555837 absolute error 1.4592771435673058e-12 relative error 1.9932480911561707e-11% Correct digits 13 h 1.0e-05 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] -0.1799900000010453 y[1] (analytic) -7.3072185852532705 y[1] (numeric) -7.30721858525184 absolute error 1.4308554341369017e-12 relative error 1.9581396360915183e-11% Correct digits 13 h 1.0e-05 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] -0.1699900000010353 y[1] (analytic) -7.29334591780359 y[1] (numeric) -7.2933459178021804 absolute error 1.4095391520640987e-12 relative error 1.9326371845647835e-11% Correct digits 13 h 1.0e-05 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] -0.1599900000010253 y[1] (analytic) -7.2794834221283935 y[1] (numeric) -7.279483422127002 absolute error 1.3917755836700962e-12 relative error 1.911915314539126e-11% Correct digits 13 h 1.0e-05 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] -0.1499900000010153 y[1] (analytic) -7.265631100159437 y[1] (numeric) -7.265631100158054 absolute error 1.382893799473095e-12 relative error 1.9033361044751485e-11% Correct digits 13 h 1.0e-05 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] -0.1399900000010053 y[1] (analytic) -7.251788953840119 y[1] (numeric) -7.251788953838745 absolute error 1.3740120152760937e-12 relative error 1.8947214597971693e-11% Correct digits 13 h 1.0e-05 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] -0.1299900000009953 y[1] (analytic) -7.237956985125486 y[1] (numeric) -7.237956985124116 absolute error 1.3695711231775931e-12 relative error 1.892206773254053e-11% Correct digits 13 h 1.0e-05 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] -0.11999000000099226 y[1] (analytic) -7.224135195982278 y[1] (numeric) -7.224135195980922 absolute error 1.3562484468820912e-12 relative error 1.8773851957205515e-11% Correct digits 13 h 1.0e-05 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] -0.10999000000099614 y[1] (analytic) -7.210323588388914 y[1] (numeric) -7.210323588387559 absolute error 1.3553602684623911e-12 relative error 1.879749572744536e-11% Correct digits 13 h 1.0e-05 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] -0.09999000000100002 y[1] (analytic) -7.196522164335523 y[1] (numeric) -7.196522164334155 absolute error 1.3677947663381929e-12 relative error 1.9006330212066893e-11% Correct digits 13 h 1.0e-05 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] -0.08999000000100389 y[1] (analytic) -7.182730925823973 y[1] (numeric) -7.1827309258225895 absolute error 1.3837819778927951e-12 relative error 1.9265401867104652e-11% Correct digits 13 h 1.0e-05 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] -0.07999000000100777 y[1] (analytic) -7.168949874867894 y[1] (numeric) -7.168949874866514 absolute error 1.3802292642139946e-12 relative error 1.925287926831025e-11% Correct digits 13 h 1.0e-05 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] -0.06999000000101165 y[1] (analytic) -7.155179013492681 y[1] (numeric) -7.155179013491298 absolute error 1.382893799473095e-12 relative error 1.9327172623708524e-11% Correct digits 13 h 1.0e-05 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] -0.05999000000101378 y[1] (analytic) -7.141418343735529 y[1] (numeric) -7.141418343734141 absolute error 1.3873346915715956e-12 relative error 1.942659881826653e-11% Correct digits 13 h 1.0e-05 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] -0.04999000000101072 y[1] (analytic) -7.1276678676454415 y[1] (numeric) -7.12766786764405 absolute error 1.3917755836700962e-12 relative error 1.952638099184967e-11% Correct digits 13 h 1.0e-05 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] -0.03999000000100766 y[1] (analytic) -7.1139275872832695 y[1] (numeric) -7.113927587281881 absolute error 1.3882228699912957e-12 relative error 1.9514155197093352e-11% Correct digits 13 h 1.0e-05 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] -0.029990000001005032 y[1] (analytic) -7.100197504721711 y[1] (numeric) -7.100197504720321 absolute error 1.389999226830696e-12 relative error 1.9576909317048307e-11% Correct digits 13 h 1.0e-05 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] -0.01999000000100544 y[1] (analytic) -7.086477622045348 y[1] (numeric) -7.086477622043947 absolute error 1.4006573678670975e-12 relative error 1.9765212600259792e-11% Correct digits 13 h 1.0e-05 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] -0.009990000001005847 y[1] (analytic) -7.072767941350648 y[1] (numeric) -7.072767941349237 absolute error 1.411315508903499e-12 relative error 1.9954217650098496e-11% Correct digits 13 h 1.0e-05 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] 9.999998993914788e-06 y[1] (analytic) -7.059068464746002 y[1] (numeric) -7.0590684647445885 absolute error 1.4130918657428992e-12 relative error 2.001810681961908e-11% Correct digits 13 h 1.0e-05 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] 0.010009999998993676 y[1] (analytic) -7.0453791943517405 y[1] (numeric) -7.045379194350323 absolute error 1.4175327578413999e-12 relative error 2.012003497239484e-11% Correct digits 13 h 1.0e-05 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] 0.02000999999899327 y[1] (analytic) -7.031700132300154 y[1] (numeric) -7.03170013229873 absolute error 1.4237500067793007e-12 relative error 2.0247592758389924e-11% Correct digits 13 h 1.0e-05 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] 0.030009999998992863 y[1] (analytic) -7.018031280735515 y[1] (numeric) -7.018031280734084 absolute error 1.4317436125566019e-12 relative error 2.0400929481273984e-11% Correct digits 13 h 1.0e-05 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] 0.040009999998995495 y[1] (analytic) -7.004372641814099 y[1] (numeric) -7.004372641812672 absolute error 1.4264145420384011e-12 relative error 2.0364629567580612e-11% Correct digits 13 h 1.0e-05 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] 0.05000999999899856 y[1] (analytic) -6.990724217704203 y[1] (numeric) -6.990724217702799 absolute error 1.404210081545898e-12 relative error 2.0086761225535072e-11% Correct digits 13 h 1.0e-05 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] 0.06000999999900162 y[1] (analytic) -6.977086010586182 y[1] (numeric) -6.977086010584778 absolute error 1.4033219031261979e-12 relative error 2.011329516358216e-11% Correct digits 13 h 1.0e-05 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] 0.07000999999899947 y[1] (analytic) -6.963458022652455 y[1] (numeric) -6.963458022651037 absolute error 1.4184209362611e-12 relative error 2.036949072783824e-11% Correct digits 13 h 1.0e-05 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] 0.08000999999899559 y[1] (analytic) -6.94984025610753 y[1] (numeric) -6.94984025610611 absolute error 1.4201972931005002e-12 relative error 2.0434963118072083e-11% Correct digits 13 h 1.0e-05 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] 0.09000999999899172 y[1] (analytic) -6.936232713168021 y[1] (numeric) -6.936232713166588 absolute error 1.432631790976302e-12 relative error 2.0654321304078173e-11% Correct digits 13 h 1.0e-05 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] 0.10000999999898784 y[1] (analytic) -6.9226353960626845 y[1] (numeric) -6.922635396061236 absolute error 1.4486190025309043e-12 relative error 2.0925831271639993e-11% Correct digits 13 h 1.0e-05 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] 0.11000999999898396 y[1] (analytic) -6.909048307032439 y[1] (numeric) -6.909048307031002 absolute error 1.4370726830748026e-12 relative error 2.0799864456180816e-11% Correct digits 13 h 1.0e-05 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] 0.12000999999898009 y[1] (analytic) -6.895471448330377 y[1] (numeric) -6.89547144832892 absolute error 1.4566126083082054e-12 relative error 2.112419171369203e-11% Correct digits 13 h 1.0e-05 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] 0.13000999999898316 y[1] (analytic) -6.881904822221786 y[1] (numeric) -6.881904822220338 absolute error 1.4486190025309043e-12 relative error 2.1049680865293124e-11% Correct digits 13 h 1.0e-05 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] 0.14000999999899316 y[1] (analytic) -6.8683484309842004 y[1] (numeric) -6.868348430982762 absolute error 1.4388490399142029e-12 relative error 2.0948981467266986e-11% Correct digits 13 h 1.0e-05 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] 0.15000999999900316 y[1] (analytic) -6.854802276907398 y[1] (numeric) -6.854802276905974 absolute error 1.4237500067793007e-12 relative error 2.07701104899212e-11% Correct digits 13 h 1.0e-05 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] 0.16000999999901316 y[1] (analytic) -6.84126636229343 y[1] (numeric) -6.84126636229202 absolute error 1.4104273304837989e-12 relative error 2.061646566281297e-11% Correct digits 13 h 1.0e-05 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] 0.17000999999902316 y[1] (analytic) -6.827740689456643 y[1] (numeric) -6.827740689455242 absolute error 1.4015455462867976e-12 relative error 2.052722284036147e-11% Correct digits 13 h 1.0e-05 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] 0.18000999999903317 y[1] (analytic) -6.8142252607237035 y[1] (numeric) -6.814225260722319 absolute error 1.3846701563124952e-12 relative error 2.032028738899419e-11% Correct digits 13 h 1.0e-05 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] 0.19000999999904317 y[1] (analytic) -6.800720078433622 y[1] (numeric) -6.8007200784322475 absolute error 1.3749001936957939e-12 relative error 2.0216979640962786e-11% Correct digits 13 h 1.0e-05 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] 0.20000999999905317 y[1] (analytic) -6.787225144937773 y[1] (numeric) -6.787225144936411 absolute error 1.3624656958199921e-12 relative error 2.0073972304221882e-11% Correct digits 13 h 1.0e-05 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] 0.21000999999906317 y[1] (analytic) -6.773740462599934 y[1] (numeric) -6.773740462598585 absolute error 1.3482548411047901e-12 relative error 1.9904140829560152e-11% Correct digits 13 h 1.0e-05 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] 0.22000999999907317 y[1] (analytic) -6.760266033796283 y[1] (numeric) -6.76026603379494 absolute error 1.3429257705865894e-12 relative error 1.9864984068274284e-11% Correct digits 13 h 1.0e-05 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] 0.23000999999908317 y[1] (analytic) -6.746801860915456 y[1] (numeric) -6.746801860914124 absolute error 1.3322676295501878e-12 relative error 1.9746654148361428e-11% Correct digits 13 h 1.0e-05 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] 0.24000999999909317 y[1] (analytic) -6.73334794635854 y[1] (numeric) -6.733347946357234 absolute error 1.3065104553788842e-12 relative error 1.9403578513797993e-11% Correct digits 13 h 1.0e-05 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] 0.25000999999910317 y[1] (analytic) -6.719904292539123 y[1] (numeric) -6.719904292537823 absolute error 1.3002932064409833e-12 relative error 1.9349876870786e-11% Correct digits 13 h 1.0e-05 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] 0.2600099999991132 y[1] (analytic) -6.706470901883295 y[1] (numeric) -6.706470901882006 absolute error 1.2887468869848817e-12 relative error 1.9216468778280676e-11% Correct digits 13 h 1.0e-05 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] 0.2700099999991232 y[1] (analytic) -6.693047776829699 y[1] (numeric) -6.693047776828423 absolute error 1.27631238910908e-12 relative error 1.9069225734910738e-11% Correct digits 13 h 1.0e-05 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] 0.2800099999991332 y[1] (analytic) -6.679634919829537 y[1] (numeric) -6.679634919828266 absolute error 1.2709833185908792e-12 relative error 1.90277363036379e-11% Correct digits 13 h 1.0e-05 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] 0.2900099999991432 y[1] (analytic) -6.6662323333466 y[1] (numeric) -6.666232333345353 absolute error 1.2470025012589758e-12 relative error 1.870625623144089e-11% Correct digits 13 h 1.0e-05 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] 0.3000099999991532 y[1] (analytic) -6.6528400198572974 y[1] (numeric) -6.652840019856061 absolute error 1.2363443602225743e-12 relative error 1.8583707958290778e-11% Correct digits 13 h 1.0e-05 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] 0.3100099999991632 y[1] (analytic) -6.639457981850681 y[1] (numeric) -6.639457981849452 absolute error 1.2292389328649733e-12 relative error 1.8514145826740146e-11% Correct digits 13 h 1.0e-05 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] 0.3200099999991732 y[1] (analytic) -6.6260862218284675 y[1] (numeric) -6.62608622182725 absolute error 1.2176926134088717e-12 relative error 1.8377252764948922e-11% Correct digits 13 h 1.0e-05 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] 0.3300099999991832 y[1] (analytic) -6.612724742305069 y[1] (numeric) -6.612724742303859 absolute error 1.2096990076315706e-12 relative error 1.82935031287858e-11% Correct digits 13 h 1.0e-05 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] 0.3400099999991932 y[1] (analytic) -6.599373545807615 y[1] (numeric) -6.599373545806418 absolute error 1.1972645097557688e-12 relative error 1.814209335848787e-11% Correct digits 13 h 1.0e-05 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] 0.3500099999992032 y[1] (analytic) -6.586032634875984 y[1] (numeric) -6.586032634874809 absolute error 1.1750600492632657e-12 relative error 1.78416979448416e-11% Correct digits 13 h 1.0e-05 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] 0.3600099999992132 y[1] (analytic) -6.572702012062825 y[1] (numeric) -6.572702012061666 absolute error 1.1590728377086634e-12 relative error 1.7634647601266978e-11% Correct digits 13 h 1.0e-05 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] 0.3700099999992232 y[1] (analytic) -6.559381679933585 y[1] (numeric) -6.559381679932434 absolute error 1.1510792319313623e-12 relative error 1.7548593573274382e-11% Correct digits 13 h 1.0e-05 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] 0.3800099999992332 y[1] (analytic) -6.54607164106654 y[1] (numeric) -6.5460716410654065 absolute error 1.1333156635373598e-12 relative error 1.7312912624230166e-11% Correct digits 13 h 1.0e-05 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] 0.3900099999992432 y[1] (analytic) -6.532771898052816 y[1] (numeric) -6.532771898051682 absolute error 1.13420384195706e-12 relative error 1.7361754851644602e-11% Correct digits 13 h 1.0e-05 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] 0.4000099999992532 y[1] (analytic) -6.519482453496421 y[1] (numeric) -6.5194824534953115 absolute error 1.1093348462054564e-12 relative error 1.7015688808404054e-11% Correct digits 13 h 1.0e-05 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] 0.4100099999992632 y[1] (analytic) -6.506203310014272 y[1] (numeric) -6.506203310013178 absolute error 1.0942358130705543e-12 relative error 1.681834644463568e-11% Correct digits 13 h 1.0e-05 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] 0.4200099999992732 y[1] (analytic) -6.492934470236216 y[1] (numeric) -6.492934470235138 absolute error 1.078248601515952e-12 relative error 1.660649135546758e-11% Correct digits 13 h 1.0e-05 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] 0.4300099999992832 y[1] (analytic) -6.479675936805068 y[1] (numeric) -6.4796759368040036 absolute error 1.06403774680075e-12 relative error 1.6421156816761964e-11% Correct digits 13 h 1.0e-05 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] 0.4400099999992932 y[1] (analytic) -6.466427712376627 y[1] (numeric) -6.466427712375594 absolute error 1.0329515021112456e-12 relative error 1.5974067105616827e-11% Correct digits 13 h 1.0e-05 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] 0.4500099999993032 y[1] (analytic) -6.453189799619721 y[1] (numeric) -6.45318979961869 absolute error 1.0302869668521453e-12 relative error 1.596554570443378e-11% Correct digits 13 h 1.0e-05 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] 0.4600099999993132 y[1] (analytic) -6.439962201216215 y[1] (numeric) -6.439962201215189 absolute error 1.0258460747536446e-12 relative error 1.5929380370585236e-11% Correct digits 13 h 1.0e-05 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] 0.4700099999993232 y[1] (analytic) -6.4267449198610525 y[1] (numeric) -6.426744919860037 absolute error 1.0151879337172431e-12 relative error 1.5796300403644955e-11% Correct digits 13 h 1.0e-05 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] 0.4800099999993332 y[1] (analytic) -6.413537958262282 y[1] (numeric) -6.4135379582612835 absolute error 9.983125437429408e-13 relative error 1.5565707262352103e-11% Correct digits 13 h 1.0e-05 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] 0.4900099999993432 y[1] (analytic) -6.4003413191410825 y[1] (numeric) -6.4003413191400975 absolute error 9.849898674474389e-13 relative error 1.5389645931877008e-11% Correct digits 13 h 1.0e-05 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] 0.5000099999993531 y[1] (analytic) -6.387155005231798 y[1] (numeric) -6.387155005230826 absolute error 9.71667191151937e-13 relative error 1.521283247950038e-11% Correct digits 13 h 1.0e-05 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] 0.5100099999993076 y[1] (analytic) -6.3739790192820305 y[1] (numeric) -6.373979019281012 absolute error 1.0187406473960436e-12 relative error 1.5982805156939397e-11% Correct digits 13 h 1.0e-05 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] 0.5200099999992621 y[1] (analytic) -6.360813364052463 y[1] (numeric) -6.360813364051382 absolute error 1.0809131367750524e-12 relative error 1.699331634038708e-11% Correct digits 13 h 1.0e-05 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] 0.5300099999992166 y[1] (analytic) -6.347658042317092 y[1] (numeric) -6.347658042315963 absolute error 1.1288747714388592e-12 relative error 1.7784114454703437e-11% Correct digits 13 h 1.0e-05 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] 0.5400099999991711 y[1] (analytic) -6.334513056863202 y[1] (numeric) -6.334513056862002 absolute error 1.2008172234345693e-12 relative error 1.8956740836354104e-11% Correct digits 13 h 1.0e-05 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] 0.5500099999991256 y[1] (analytic) -6.321378410491378 y[1] (numeric) -6.321378410490118 absolute error 1.2603251775544777e-12 relative error 1.9937505646913315e-11% Correct digits 13 h 1.0e-05 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] 0.5600099999990801 y[1] (analytic) -6.308254106015552 y[1] (numeric) -6.30825410601423 absolute error 1.3216094885137863e-12 relative error 2.0950479582829416e-11% Correct digits 13 h 1.0e-05 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] 0.5700099999990346 y[1] (analytic) -6.295140146263018 y[1] (numeric) -6.295140146261633 absolute error 1.3846701563124952e-12 relative error 2.199585909353387e-11% Correct digits 13 h 1.0e-05 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] 0.5800099999989891 y[1] (analytic) -6.282036534074473 y[1] (numeric) -6.282036534073024 absolute error 1.4495071809506044e-12 relative error 2.3073841947405342e-11% Correct digits 13 h 1.0e-05 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] 0.5900099999989435 y[1] (analytic) -6.268943272304044 y[1] (numeric) -6.268943272302523 absolute error 1.5214496329463145e-12 relative error 2.4269634719267947e-11% Correct digits 13 h 1.0e-05 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] 0.600009999998898 y[1] (analytic) -6.255860363819317 y[1] (numeric) -6.255860363817729 absolute error 1.588063014423824e-12 relative error 2.5385205584324815e-11% Correct digits 13 h 1.0e-05 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] 0.6100099999988525 y[1] (analytic) -6.242787811501372 y[1] (numeric) -6.242787811499727 absolute error 1.644906433284632e-12 relative error 2.6348908259450147e-11% Correct digits 13 h 1.0e-05 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] 0.620009999998807 y[1] (analytic) -6.22972561824481 y[1] (numeric) -6.22972561824311 absolute error 1.6999734953060397e-12 relative error 2.7288095808383252e-11% Correct digits 13 h 1.0e-05 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] 0.6300099999987615 y[1] (analytic) -6.216673786957785 y[1] (numeric) -6.21667378695604 absolute error 1.745270594710746e-12 relative error 2.807402566903576e-11% Correct digits 13 h 1.0e-05 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] 0.640009999998716 y[1] (analytic) -6.2036323205620425 y[1] (numeric) -6.203632320560228 absolute error 1.8145485114473558e-12 relative error 2.924977525558703e-11% Correct digits 13 h 1.0e-05 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] 0.6500099999986705 y[1] (analytic) -6.190601221992939 y[1] (numeric) -6.190601221991063 absolute error 1.8758328224066645e-12 relative error 3.030130281599334e-11% Correct digits 13 h 1.0e-05 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] 0.660009999998625 y[1] (analytic) -6.177580494199484 y[1] (numeric) -6.177580494197542 absolute error 1.9415580254644738e-12 relative error 3.1429101203740265e-11% Correct digits 13 h 1.0e-05 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] 0.6700099999985795 y[1] (analytic) -6.164570140144365 y[1] (numeric) -6.164570140142356 absolute error 2.0090595853616833e-12 relative error 3.259042463120769e-11% Correct digits 13 h 1.0e-05 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] 0.680009999998534 y[1] (analytic) -6.1515701628039885 y[1] (numeric) -6.151570162801922 absolute error 2.0667911826421914e-12 relative error 3.359778280900097e-11% Correct digits 13 h 1.0e-05 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] 0.6900099999984884 y[1] (analytic) -6.138580565168503 y[1] (numeric) -6.1385805651663725 absolute error 2.1307400288606004e-12 relative error 3.4710630678219534e-11% Correct digits 13 h 1.0e-05 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] 0.7000099999984429 y[1] (analytic) -6.125601350241839 y[1] (numeric) -6.125601350239647 absolute error 2.192024339819909e-12 relative error 3.578463916417558e-11% Correct digits 13 h 1.0e-05 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] 0.7100099999983974 y[1] (analytic) -6.112632521041737 y[1] (numeric) -6.112632521039484 absolute error 2.2533086507792177e-12 relative error 3.686314600170338e-11% Correct digits 13 h 1.0e-05 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] 0.7200099999983519 y[1] (analytic) -6.099674080599781 y[1] (numeric) -6.099674080597476 absolute error 2.305711177541525e-12 relative error 3.780056355592698e-11% Correct digits 13 h 1.0e-05 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] 0.7300099999983064 y[1] (analytic) -6.0867260319614385 y[1] (numeric) -6.086726031959061 absolute error 2.3776536295372352e-12 relative error 3.9062931649168376e-11% Correct digits 13 h 1.0e-05 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] 0.7400099999982609 y[1] (analytic) -6.073788378186084 y[1] (numeric) -6.07378837818365 absolute error 2.433608869978343e-12 relative error 4.006739646574799e-11% Correct digits 13 h 1.0e-05 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] 0.7500099999982154 y[1] (analytic) -6.060861122347042 y[1] (numeric) -6.060861122344545 absolute error 2.496669537777052e-12 relative error 4.119331374499846e-11% Correct digits 13 h 1.0e-05 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] 0.7600099999981699 y[1] (analytic) -6.0479442675316095 y[1] (numeric) -6.047944267529042 absolute error 2.567723811353062e-12 relative error 4.245614208348261e-11% Correct digits 13 h 1.0e-05 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] 0.7700099999981244 y[1] (analytic) -6.035037816841104 y[1] (numeric) -6.035037816838471 absolute error 2.6334490144108713e-12 relative error 4.363599855268657e-11% Correct digits 13 h 1.0e-05 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] 0.7800099999980789 y[1] (analytic) -6.022141773390889 y[1] (numeric) -6.0221417733881895 absolute error 2.6991742174686806e-12 relative error 4.482083482981265e-11% Correct digits 13 h 1.0e-05 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] 0.7900099999980333 y[1] (analytic) -6.009256140310409 y[1] (numeric) -6.009256140307658 absolute error 2.751576744230988e-12 relative error 4.5788974208858646e-11% Correct digits 13 h 1.0e-05 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 ( 0.1 * x + 0.2 ) ; Iterations 160001 Total Elapsed Time 1 Minutes 22 Seconds Elapsed Time(since restart) 1 Minutes 22 Seconds Time to Timeout 28 Minutes 38.0 Seconds Percent Done 100.00124999987423%