##############ECHO OF PROBLEM################# ##############temp/expt_c_sin_newpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ; ! #BEGIN FIRST INPUT BLOCK ## Comment 1 # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ## Comment 2 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK ## Comment 3 x_start=0.1 x_end=1.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 ## Comment 4 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK ## Comment 5 def exact_soln_y (x) ## Comment 6 return(expt(2.0,sin(x))) ## Comment 7 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 desired_abs_gbl_error 1.0e-10 range 0.9 estimated_steps 900000.0000000001 step_error 1.111111111111111e-16 est_needed_step_err 1.111111111111111e-16 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.517636384766835e-168 estimated_step_error 2.517636384766835e-168 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 1.689557032224656e-160 estimated_step_error 1.689557032224656e-160 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 1.133842336015974e-152 estimated_step_error 1.133842336015974e-152 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 7.609084496039714e-145 estimated_step_error 7.609084496039714e-145 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 5.106366654305628e-137 estimated_step_error 5.106366654305628e-137 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.426819939899629e-129 estimated_step_error 3.426819939899629e-129 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.299693606561296e-121 estimated_step_error 2.299693606561296e-121 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.543289763369036e-113 estimated_step_error 1.543289763369036e-113 best_h 0.000256 opt_iter 9 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.035672830600492e-105 estimated_step_error 1.035672830600492e-105 best_h 0.000512 opt_iter 10 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.950129714308285e-98 estimated_step_error 6.950129714308285e-98 best_h 0.001024 opt_iter 11 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.663947690685019e-90 estimated_step_error 4.663947690685019e-90 best_h 0.002048 opt_iter 12 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.1296464729871386e-82 estimated_step_error 3.1296464729871386e-82 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.0998995746780598e-74 estimated_step_error 2.0998995746780598e-74 best_h 0.008192 opt_iter 14 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.4087202517884608e-66 estimated_step_error 1.4087202517884608e-66 best_h 0.016384 opt_iter 15 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 9.447042414624482e-59 estimated_step_error 9.447042414624482e-59 best_h 0.032768 opt_iter 16 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.330708196557333e-51 estimated_step_error 6.330708196557333e-51 best_h 0.065536 opt_iter 17 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.236054799514908e-43 estimated_step_error 4.236054799514908e-43 best_h 0.131072 opt_iter 18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.825559663661932e-35 estimated_step_error 2.825559663661932e-35 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 1.0716497154484685 y[1] (numeric) 1.0716497154484685 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.427151495222885 Order of pole (six term test) 10.532591706662178 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 1.0790624040818957 y[1] (numeric) 1.0790624040818957 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.427682962619208 Order of pole (six term test) 10.565368450556445 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 1.086518099335655 y[1] (numeric) 1.086518099335655 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.427964047017203 Order of pole (six term test) 10.595467474563815 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 1.0940162312091322 y[1] (numeric) 1.0940162312091322 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.4279646565926125 Order of pole (six term test) 10.622579044536696 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 1.1015562101221397 y[1] (numeric) 1.1015562101221397 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.4276604540709 Order of pole (six term test) 10.64645114724173 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 1.1091374267270262 y[1] (numeric) 1.1091374267270262 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.427033390084757 Order of pole (six term test) 10.666895314464057 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 1.1167592517273877 y[1] (numeric) 1.1167592517273877 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.426072125992796 Order of pole (six term test) 10.683791299187462 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 1.1244210357036601 y[1] (numeric) 1.1244210357036601 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.424772335203437 Order of pole (six term test) 10.697090469182662 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 1.1321221089458746 y[1] (numeric) 1.1321221089458746 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.423136873171284 Order of pole (six term test) 10.706817799378818 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 1.1398617812938603 y[1] (numeric) 1.1398617812938605 absolute error 2.220446049250313e-16 relative error 1.9479958760700604e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.421175807734146 Order of pole (six term test) 10.7130723655618 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 1.147639341985178 y[1] (numeric) 1.1476393419851783 absolute error 2.220446049250313e-16 relative error 1.9347942929608896e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.418906303392159 Order of pole (six term test) 10.716026268374613 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 1.155454059511069 y[1] (numeric) 1.1554540595110692 absolute error 2.220446049250313e-16 relative error 1.9217086399695512e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.004048607721275276 Order of pole (three term test) -0.919836871693059 Radius of convergence (six term test) for eq 1 4.416352355552261 Order of pole (six term test) 10.715921948354897 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 1.1633051814807043 y[1] (numeric) 1.1633051814807045 absolute error 2.220446049250313e-16 relative error 1.908739069161572e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01313927545017975 Order of pole (three term test) -1.1954209878426747 Radius of convergence (six term test) for eq 1 4.413544373675377 Order of pole (six term test) 10.713067889300063 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 1.1711919344940223 y[1] (numeric) 1.1711919344940223 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.021459767580169653 Order of pole (three term test) -1.7633107889305761 Radius of convergence (six term test) for eq 1 4.410518615659233 Order of pole (six term test) 10.707832747908391 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 1.1791135240234336 y[1] (numeric) 1.1791135240234336 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02883492707219905 Order of pole (three term test) -2.6115475915945914 Radius of convergence (six term test) for eq 1 4.407316479595386 Order of pole (six term test) 10.700637991119653 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 1.1870691343046853 y[1] (numeric) 1.187069134304685 absolute error 2.220446049250313e-16 relative error 1.8705279962914028e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03510741959962881 Order of pole (three term test) -3.722098373683261 Radius of convergence (six term test) for eq 1 4.403983663150895 Order of pole (six term test) 10.691949167345012 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 1.19505792823716 y[1] (numeric) 1.1950579282371598 absolute error 2.220446049250313e-16 relative error 1.858023780090486e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04014109421626221 Order of pole (three term test) -5.071081441266941 Radius of convergence (six term test) for eq 1 4.400569205097536 Order of pole (six term test) 10.682265982019953 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 1.2030790472939 y[1] (numeric) 1.2030790472938997 absolute error 2.220446049250313e-16 relative error 1.8456360404952516e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04382416022995508 Order of pole (three term test) -6.6291044291986925 Radius of convergence (six term test) for eq 1 4.3971244277508745 Order of pole (six term test) 10.67211138952311 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 1.21113161144163 y[1] (numeric) 1.2111316114416295 absolute error 4.440892098500626e-16 relative error 3.6667295746781466e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0460721103260763 Order of pole (three term test) -8.361723224860594 Radius of convergence (six term test) for eq 1 4.393701803083988 Order of pole (six term test) 10.66201995048121 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 1.2192147190710623 y[1] (numeric) 1.219214719071062 absolute error 2.220446049250313e-16 relative error 1.821210008801488e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.046830302186872376 Order of pole (three term test) -10.230029082446771 Radius of convergence (six term test) for eq 1 4.390353768813071 Order of pole (six term test) 10.652525733765938 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 1.2273274469377602 y[1] (numeric) 1.22732744693776 absolute error 2.220446049250313e-16 relative error 1.8091716719856877e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.046076095090935944 Order of pole (three term test) -12.191368354628167 Radius of convergence (six term test) for eq 1 4.387131523592565 Order of pole (six term test) 10.64415006435749 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 1.2354688501138305 y[1] (numeric) 1.2354688501138302 absolute error 2.220446049250313e-16 relative error 1.797249723492204e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.043820426523517975 Order of pole (three term test) -14.20019481999457 Radius of convergence (six term test) for eq 1 4.3840838324031735 Order of pole (six term test) 10.637389430347433 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 1.2436379619507212 y[1] (numeric) 1.243637961950721 absolute error 2.220446049250313e-16 relative error 1.785444089988544e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04010870900392019 Order of pole (three term test) -16.209048584060817 Radius of convergence (six term test) for eq 1 4.381255874094973 Order of pole (six term test) 10.632703863750532 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 1.2518337940533883 y[1] (numeric) 1.2518337940533881 absolute error 2.220446049250313e-16 relative error 1.7737546787745654e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03502093127516324 Order of pole (three term test) -18.169648210966905 Radius of convergence (six term test) for eq 1 4.37868816275826 Order of pole (six term test) 10.630506100300803 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 1.260055336266098 y[1] (numeric) 1.260055336266098 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02867086236330183 Order of pole (three term test) -20.034074528101385 Radius of convergence (six term test) for eq 1 4.376415573079597 Order of pole (six term test) 10.631151803208247 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 1.2683015566701237 y[1] (numeric) 1.2683015566701237 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.021204282671987044 Order of pole (three term test) -21.75601605182648 Radius of convergence (six term test) for eq 1 4.37446649714036 Order of pole (six term test) 10.634931105964483 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 1.2765714015935925 y[1] (numeric) 1.2765714015935925 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.012796203030122633 Order of pole (three term test) -23.292037980576275 Radius of convergence (six term test) for eq 1 4.372862156325998 Order of pole (six term test) 10.642061691041146 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 1.2848637956337348 y[1] (numeric) 1.2848637956337348 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0036470789756826694 Order of pole (three term test) -24.602830054430694 Radius of convergence (six term test) for eq 1 4.371616087316963 Order of pole (six term test) 10.652683576625353 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 1.2931776416917797 y[1] (numeric) 1.2931776416917797 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.370733815745176 Order of pole (six term test) 10.666855734354609 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 1.3015118210207377 y[1] (numeric) 1.3015118210207377 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.370212725315955 Order of pole (six term test) 10.684554609800443 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 1.3098651932863046 y[1] (numeric) 1.3098651932863046 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.370042124254842 Order of pole (six term test) 10.705674565885765 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 1.3182365966411136 y[1] (numeric) 1.3182365966411134 absolute error 2.220446049250313e-16 relative error 1.684406315913276e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.370203505186717 Order of pole (six term test) 10.730030220129244 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 1.3266248478125573 y[1] (numeric) 1.326624847812557 absolute error 2.220446049250313e-16 relative error 1.673755811909869e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.370670989182138 Order of pole (six term test) 10.757360600586363 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 1.335028742204393 y[1] (numeric) 1.3350287422043927 absolute error 2.220446049250313e-16 relative error 1.6632196589145514e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.3714119399600895 Order of pole (six term test) 10.787335004252451 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 1.343447054012336 y[1] (numeric) 1.3434470540123358 absolute error 2.220446049250313e-16 relative error 1.6527975870866914e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.3723877302648155 Order of pole (six term test) 10.819560406286087 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 1.3518785363538406 y[1] (numeric) 1.3518785363538404 absolute error 2.220446049250313e-16 relative error 1.6424893136029004e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.373554639310981 Order of pole (six term test) 10.853590238957626 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 1.3603219214122575 y[1] (numeric) 1.3603219214122573 absolute error 2.220446049250313e-16 relative error 1.632294543151295e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.374864857960148 Order of pole (six term test) 10.888934335941219 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 1.368775920595548 y[1] (numeric) 1.3687759205955476 absolute error 4.440892098500626e-16 relative error 3.2444259368388174e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.376267576901401 Order of pole (six term test) 10.925069819968698 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 1.3772392247097267 y[1] (numeric) 1.3772392247097263 absolute error 4.440892098500626e-16 relative error 3.2244885411513085e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.377710132493449 Order of pole (six term test) 10.961452699561967 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 1.385710504147195 y[1] (numeric) 1.3857105041471947 absolute error 4.440892098500626e-16 relative error 3.2047762394885466e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.379139184956282 Order of pole (six term test) 10.99752993275633 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 1.394188409090117 y[1] (numeric) 1.3941884090901167 absolute error 4.440892098500626e-16 relative error 3.1852883509473916e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.380501904149285 Order of pole (six term test) 11.032751711772459 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 1.4026715697289778 y[1] (numeric) 1.4026715697289773 absolute error 4.440892098500626e-16 relative error 3.166024174396498e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.381747139098334 Order of pole (six term test) 11.066583721807557 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 1.411158596496457 y[1] (numeric) 1.4111585964964566 absolute error 4.440892098500626e-16 relative error 3.146982989386322e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.382826548611881 Order of pole (six term test) 11.098519129007308 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 1.4196480803167355 y[1] (numeric) 1.4196480803167353 absolute error 2.220446049250313e-16 relative error 1.56408202852281e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.383695671634401 Order of pole (six term test) 11.128090056771946 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 1.4281385928703436 y[1] (numeric) 1.4281385928703434 absolute error 2.220446049250313e-16 relative error 1.5547833104821786e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.384314917370638 Order of pole (six term test) 11.154878315970848 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 1.4366286868746452 y[1] (numeric) 1.4366286868746452 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.384650456606108 Order of pole (six term test) 11.178525163233427 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 1.445116896380045 y[1] (numeric) 1.445116896380045 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.384674997059566 Order of pole (six term test) 11.198739872774176 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 1.4536017370819843 y[1] (numeric) 1.4536017370819843 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.3843684270606 Order of pole (six term test) 11.215306921725649 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 1.4620817066487897 y[1] (numeric) 1.4620817066487897 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.383718313372882 Order of pole (six term test) 11.228091606969851 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 1.4705552850654124 y[1] (numeric) 1.4705552850654124 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.382720240725832 Order of pole (six term test) 11.237043934316294 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 1.479020934993095 y[1] (numeric) 1.479020934993095 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.381377982580909 Order of pole (six term test) 11.242200648294997 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 1.4874771021449789 y[1] (numeric) 1.4874771021449789 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.379703495008884 Order of pole (six term test) 11.243685303999705 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 1.495922215677656 y[1] (numeric) 1.495922215677656 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.008958459652667628 Order of pole (three term test) -1.032839597890166 Radius of convergence (six term test) for eq 1 4.37771672832251 Order of pole (six term test) 11.241706320980061 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 1.5043546885986532 y[1] (numeric) 1.5043546885986532 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017839469275685124 Order of pole (three term test) -1.4798641227225726 Radius of convergence (six term test) for eq 1 4.375445254377771 Order of pole (six term test) 11.236553003210865 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 1.5127729181898217 y[1] (numeric) 1.512772918189822 absolute error 2.220446049250313e-16 relative error 1.46779865143758e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02594817105086196 Order of pole (three term test) -2.22400950631719 Radius of convergence (six term test) for eq 1 4.372923711235746 Order of pole (six term test) 11.228589557912638 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 1.521175286446591 y[1] (numeric) 1.5211752864465913 absolute error 2.220446049250313e-16 relative error 1.459691114517902e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.033095753983304006 Order of pole (three term test) -3.2479659313396407 Radius of convergence (six term test) for eq 1 4.370193071152847 Order of pole (six term test) 11.218247198484907 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 1.5295601605330267 y[1] (numeric) 1.529560160533027 absolute error 2.220446049250313e-16 relative error 1.4516892545609478e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.039113516200032034 Order of pole (three term test) -4.527688854570809 Radius of convergence (six term test) for eq 1 4.367299742557954 Order of pole (six term test) 11.206014471434447 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 1.537925893252623 y[1] (numeric) 1.5379258932526232 absolute error 2.220446049250313e-16 relative error 1.4437926164011715e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.043856868627989924 Order of pole (three term test) -6.03278719692334 Radius of convergence (six term test) for eq 1 4.364294521658543 Order of pole (six term test) 11.192426002072047 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 1.546270823534739 y[1] (numeric) 1.546270823534739 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04720907833754857 Order of pole (three term test) -7.72705587786411 Radius of convergence (six term test) for eq 1 4.361231414408081 Order of pole (six term test) 11.178049906617545 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 1.5545932769365736 y[1] (numeric) 1.5545932769365736 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04908465327819608 Order of pole (three term test) -9.56916012449378 Radius of convergence (six term test) for eq 1 4.358166354535769 Order of pole (six term test) 11.163474166757478 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 1.5628915661605578 y[1] (numeric) 1.5628915661605578 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.049432249339286145 Order of pole (three term test) -11.513475780846917 Radius of convergence (six term test) for eq 1 4.355155847920009 Order of pole (six term test) 11.149292304129613 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 1.5711639915870292 y[1] (numeric) 1.5711639915870292 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04823696404346563 Order of pole (three term test) -13.51108460098582 Radius of convergence (six term test) for eq 1 4.352255577499036 Order of pole (six term test) 11.136088724340901 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 1.579408841822031 y[1] (numeric) 1.5794088418220307 absolute error 2.220446049250313e-16 relative error 1.4058716087018809e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.045521871865074746 Order of pole (three term test) -15.510916289565996 Radius of convergence (six term test) for eq 1 4.349519005873552 Order of pole (six term test) 11.124424120900969 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 1.5876243942600652 y[1] (numeric) 1.587624394260065 absolute error 2.220446049250313e-16 relative error 1.3985965807014344e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04134865715763526 Order of pole (three term test) -17.461020153921684 Radius of convergence (six term test) for eq 1 4.346996014518252 Order of pole (six term test) 11.11482133736742 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 1.5958089156616178 y[1] (numeric) 1.5958089156616175 absolute error 2.220446049250313e-16 relative error 1.3914235140926773e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03581721443735816 Order of pole (three term test) -19.309939212028638 Radius of convergence (six term test) for eq 1 4.344731618880284 Order of pole (six term test) 11.107752080130641 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 1.6039606627452416 y[1] (numeric) 1.6039606627452414 absolute error 2.220446049250313e-16 relative error 1.3843519363186455e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02906411379886298 Order of pole (three term test) -21.0081492741103 Radius of convergence (six term test) for eq 1 4.342764797479916 Order of pole (six term test) 11.103624854467665 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 1.6120778827939848 y[1] (numeric) 1.6120778827939846 absolute error 2.220446049250313e-16 relative error 1.3773813740325811e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.021259871646307885 Order of pole (three term test) -22.509515900391992 Radius of convergence (six term test) for eq 1 4.3411274704037774 Order of pole (six term test) 11.102774463318003 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 1.6201588142759202 y[1] (numeric) 1.6201588142759202 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.012605022123387669 Order of pole (three term test) -23.772714363776032 Radius of convergence (six term test) for eq 1 4.33984365836439 Order of pole (six term test) 11.105453363047403 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 1.6282016874785241 y[1] (numeric) 1.6282016874785241 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.003325049221339231 Order of pole (three term test) -24.762552923018017 Radius of convergence (six term test) for eq 1 4.33892884795284 Order of pole (six term test) 11.11182511518999 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 1.6362047251566272 y[1] (numeric) 1.6362047251566272 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.338389582094047 Order of pole (six term test) 11.121960110285507 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 1.644166143193653 y[1] (numeric) 1.6441661431936532 absolute error 2.220446049250313e-16 relative error 1.350499801034271e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.338223287353569 Order of pole (six term test) 11.135833672234249 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 1.6520841512758353 y[1] (numeric) 1.6520841512758353 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.338418342013493 Order of pole (six term test) 11.153326581958595 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 1.6599569535790881 y[1] (numeric) 1.659956953579088 absolute error 2.220446049250313e-16 relative error 1.3376527894068191e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.3389543811300415 Order of pole (six term test) 11.17422799049892 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 1.6677827494681927 y[1] (numeric) 1.6677827494681925 absolute error 2.220446049250313e-16 relative error 1.3313760739870637e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.339802827465252 Order of pole (six term test) 11.198240626399198 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 1.6755597342079422 y[1] (numeric) 1.675559734207942 absolute error 2.220446049250313e-16 relative error 1.3251965918719963e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.340927630596796 Order of pole (six term test) 11.224988142730307 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 1.6832860996858685 y[1] (numeric) 1.6832860996858683 absolute error 2.220446049250313e-16 relative error 1.3191138747386367e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.3422861908896175 Order of pole (six term test) 11.2540243967853 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 1.6909600351461649 y[1] (numeric) 1.6909600351461647 absolute error 2.220446049250313e-16 relative error 1.3131274560598234e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.34383044055508 Order of pole (six term test) 11.284844411693346 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 1.6985797279343955 y[1] (numeric) 1.6985797279343953 absolute error 2.220446049250313e-16 relative error 1.3072368713304659e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.345508050795918 Order of pole (six term test) 11.316896734337615 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 1.7061433642525696 y[1] (numeric) 1.7061433642525696 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.347263732042697 Order of pole (six term test) 11.349596878181782 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 1.713649129924145 y[1] (numeric) 1.713649129924145 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.349040593449853 Order of pole (six term test) 11.382341522561617 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 1.7210952111685018 y[1] (numeric) 1.7210952111685018 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.350781527991824 Order of pole (six term test) 11.414523130966725 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 1.7284797953844244 y[1] (numeric) 1.7284797953844244 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.35243059051675 Order of pole (six term test) 11.44554464911175 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 1.735801071942102 y[1] (numeric) 1.735801071942102 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.353934337770132 Order of pole (six term test) 11.474833948133579 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 1.7430572329831524 y[1] (numeric) 1.7430572329831524 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.355243101518747 Order of pole (six term test) 11.501857688349691 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 1.750246474228157 y[1] (numeric) 1.750246474228157 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.356312168306238 Order of pole (six term test) 11.52613429381472 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 1.7573669957911773 y[1] (numeric) 1.7573669957911773 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.3571028419351086 Order of pole (six term test) 11.547245747004979 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 1.764417003000718 y[1] (numeric) 1.764417003000718 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.357583367394586 Order of pole (six term test) 11.564847935907142 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 1.771394707226579 y[1] (numeric) 1.771394707226579 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.357729697600715 Order of pole (six term test) 11.578679312526539 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 1.7782983267120342 y[1] (numeric) 1.7782983267120345 absolute error 2.220446049250313e-16 relative error 1.2486352913325758e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.357526086992297 Order of pole (six term test) 11.588567652518154 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 1.7851260874107604 y[1] (numeric) 1.7851260874107606 absolute error 2.220446049250313e-16 relative error 1.2438595037681419e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.356965498744981 Order of pole (six term test) 11.594434740172865 Finished! diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ; Iterations 90 Total Elapsed Time 0.0 Seconds Elapsed Time(since restart) 0.0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 101.11111111111119%