##############ECHO OF PROBLEM################# ##############temp/arctan_sqrtpostode.ode################# diff ( y , x , 1 ) = arctan ( sqrt ( 0.1 * x + 0.2 ) ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-1.0 x_end=0.5 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 $glob_display_interval=0.1 $glob_max_minutes=10 $glob_max_h=0.0001 #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=10.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(10.0 * (0.1 * x + 0.2) * arctan(sqrt ( 0.1 * x + 0.2)) - 10.0 * sqrt( 0.1 * x + 0.2) + 10.0 * arctan(sqrt( 0.1 * x + 0.2))) 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 1.5 estimated_steps 1500000.0 step_error 6.666666666666667e-17 est_needed_step_err 6.666666666666667e-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 2.7928227631898605e-161 estimated_step_error 2.7928227631898605e-161 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 1.8742307796397583e-153 estimated_step_error 1.8742307796397583e-153 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 1.2577738437425749e-145 estimated_step_error 1.2577738437425749e-145 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 8.440762065201301e-138 estimated_step_error 8.440762065201301e-138 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 5.664478976820087e-130 estimated_step_error 5.664478976820087e-130 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 3.8013399005771515e-122 estimated_step_error 3.8013399005771515e-122 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 2.5509989911265393e-114 estimated_step_error 2.5509989911265393e-114 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 1.7118967410123776e-106 estimated_step_error 1.7118967410123776e-106 best_h 0.0001 START of Soultion TOP MAIN SOLVE Loop x[1] -1.0 y[1] (analytic) 0.20677340069798467 y[1] (numeric) 0.20677340069798467 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9998713929753472 Order of pole (three term test) 1.5052359882119737 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9899000000000011 y[1] (analytic) 0.20987411904789877 y[1] (numeric) 0.20987411904811876 absolute error 2.1999069232947477e-13 relative error 1.048203052989431e-10% Correct digits 12 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0099687443967493 Order of pole (three term test) 1.505290004350835 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9799000000000022 y[1] (analytic) 0.21295849786866317 y[1] (numeric) 0.2129584978690984 absolute error 4.35235181228677e-13 relative error 2.0437558753682485e-10% Correct digits 12 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0199660946770328 Order of pole (three term test) 1.5053435086759523 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9699000000000033 y[1] (analytic) 0.21605708250215327 y[1] (numeric) 0.21605708250280325 absolute error 6.499800697667979e-13 relative error 3.0083719646650327e-10% Correct digits 12 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.029963417705315 Order of pole (three term test) 1.505397035906593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9599000000000044 y[1] (analytic) 0.21916979100842449 y[1] (numeric) 0.21916979100928755 absolute error 8.630596237679811e-13 relative error 3.9378584968163184e-10% Correct digits 12 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.03996071345808 Order of pole (three term test) 1.5054505860641225 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9499000000000055 y[1] (analytic) 0.22229654259349063 y[1] (numeric) 0.2222965425945653 absolute error 1.074668132261536e-12 relative error 4.834389773784115e-10% Correct digits 12 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0499579819118239 Order of pole (three term test) 1.5055041591693388 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9399000000000066 y[1] (analytic) 0.22543725758242994 y[1] (numeric) 0.22543725758371438 absolute error 1.2844447727644592e-12 relative error 5.697570962931045e-10% Correct digits 12 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0599552230430447 Order of pole (three term test) 1.5055577552427626 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9299000000000077 y[1] (analytic) 0.2285918573933694 y[1] (numeric) 0.22859185739486348 absolute error 1.4940826353893044e-12 relative error 6.536027365219013e-10% Correct digits 12 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0699524368281166 Order of pole (three term test) 1.5056113743061188 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9199000000000088 y[1] (analytic) 0.2317602645123258 y[1] (numeric) 0.23176026451402723 absolute error 1.701444540813668e-12 relative error 7.341398856244313e-10% Correct digits 12 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0799496232434764 Order of pole (three term test) 1.5056650163795475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9099000000000099 y[1] (analytic) 0.23494240246884424 y[1] (numeric) 0.23494240247075163 absolute error 1.9073909118816346e-12 relative error 8.118546894209844e-10% Correct digits 12 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0899467822654756 Order of pole (three term test) 1.505718681484456 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.899900000000011 y[1] (analytic) 0.23813819581242512 y[1] (numeric) 0.23813819581453738 absolute error 2.1122548155005916e-12 relative error 8.869869901779034e-10% Correct digits 12 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.099943913870472 Order of pole (three term test) 1.5057723696412582 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8899000000000121 y[1] (analytic) 0.24134757008969387 y[1] (numeric) 0.2413475700920101 absolute error 2.3162305406998485e-12 relative error 9.59707421060444e-10% Correct digits 12 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1099410180347054 Order of pole (three term test) 1.5058260808725281 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8799000000000132 y[1] (analytic) 0.24457045182228843 y[1] (numeric) 0.24457045182480622 absolute error 2.5177915308205456e-12 relative error 1.0294749476318757e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1199380947344835 Order of pole (three term test) 1.5058798151979875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8699000000000143 y[1] (analytic) 0.24780676848542615 y[1] (numeric) 0.2478067684881458 absolute error 2.7196578322730147e-12 relative error 1.0974913433137164e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1299351439460452 Order of pole (three term test) 1.5059335726392313 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8599000000000154 y[1] (analytic) 0.2510564484871467 y[1] (numeric) 0.25105644849006603 absolute error 2.919331443251849e-12 relative error 1.1628187448853e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1399321656455477 Order of pole (three term test) 1.5059873532177883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8499000000000165 y[1] (analytic) 0.25431942114816986 y[1] (numeric) 0.25431942115128775 absolute error 3.1178948312060584e-12 relative error 1.2259759074355283e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1499291598092134 Order of pole (three term test) 1.5060411569540457 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8399000000000176 y[1] (analytic) 0.25759561668237696 y[1] (numeric) 0.2575956166856922 absolute error 3.31523697383318e-12 relative error 1.2869927743844204e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1599261264131222 Order of pole (three term test) 1.5060949838702415 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8299000000000187 y[1] (analytic) 0.2608849661778714 y[1] (numeric) 0.2608849661813823 absolute error 3.5109137819233638e-12 relative error 1.345770832777548e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1699230654334039 Order of pole (three term test) 1.5061488339871962 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8199000000000198 y[1] (analytic) 0.264187401578603 y[1] (numeric) 0.2641874015823092 absolute error 3.706202011954929e-12 relative error 1.4028685659532604e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1799199768461488 Order of pole (three term test) 1.5062027073256044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8099000000000209 y[1] (analytic) 0.2675028556665362 y[1] (numeric) 0.26750285567043613 absolute error 3.899935929752019e-12 relative error 1.4579044100424864e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1899168606273107 Order of pole (three term test) 1.5062566039083725 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.799900000000022 y[1] (analytic) 0.2708312620443363 y[1] (numeric) 0.270831262048429 absolute error 4.092726157978177e-12 relative error 1.511171984757129e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1999137167529694 Order of pole (three term test) 1.5063105237553691 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7899000000000231 y[1] (analytic) 0.2741725551185601 y[1] (numeric) 0.27417255512284483 absolute error 4.284739230087098e-12 relative error 1.5627892544657702e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2099105451990797 Order of pole (three term test) 1.5063644668885663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7799000000000242 y[1] (analytic) 0.2775266700833292 y[1] (numeric) 0.277526670087804 absolute error 4.474809411902925e-12 relative error 1.6123889680798367e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2199073459415513 Order of pole (three term test) 1.5064184333292197 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7699000000000253 y[1] (analytic) 0.28089354290446567 y[1] (numeric) 0.2808935429091298 absolute error 4.664157948752745e-12 relative error 1.6604717575651305e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2299041189562792 Order of pole (three term test) 1.5064724230995676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7599000000000264 y[1] (analytic) 0.28427311030408253 y[1] (numeric) 0.28427311030893526 absolute error 4.852729329485328e-12 relative error 1.7070659002163232e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2399008642191598 Order of pole (three term test) 1.5065264362203652 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7499000000000275 y[1] (analytic) 0.287665309745599 y[1] (numeric) 0.2876653097506393 absolute error 5.040301509495748e-12 relative error 1.7521408869054151e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.249897581705988 Order of pole (three term test) 1.5065804727136562 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7399000000000286 y[1] (analytic) 0.2910700794191783 y[1] (numeric) 0.2910700794244042 absolute error 5.225930799213074e-12 relative error 1.7954201303140688e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2598942713926236 Order of pole (three term test) 1.506634532600212 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7299000000000297 y[1] (analytic) 0.29448735822756245 y[1] (numeric) 0.29448735823297295 absolute error 5.410505377057007e-12 relative error 1.8372623563949687e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2698909332547486 Order of pole (three term test) 1.5066886159027775 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7199000000000308 y[1] (analytic) 0.29791708577229725 y[1] (numeric) 0.29791708577789194 absolute error 5.59469137684232e-12 relative error 1.8779357223970803e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2798875672681846 Order of pole (three term test) 1.5067427226419845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.709900000000032 y[1] (analytic) 0.3013592023403344 y[1] (numeric) 0.3013592023461119 absolute error 5.777489597846852e-12 relative error 1.9171439109804093e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2898841734085462 Order of pole (three term test) 1.506796852840284 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.699900000000033 y[1] (analytic) 0.30481364889098606 y[1] (numeric) 0.30481364889694584 absolute error 5.959788218490303e-12 relative error 1.955223540735136e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2998807516515474 Order of pole (three term test) 1.5068510065190852 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6899000000000342 y[1] (analytic) 0.30828036704323747 y[1] (numeric) 0.3082803670493777 absolute error 6.140254971143122e-12 relative error 1.9917761971140797e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.309877301972812 Order of pole (three term test) 1.5069051836999858 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6799000000000353 y[1] (analytic) 0.31175929906338684 y[1] (numeric) 0.3117592990697071 absolute error 6.320277634586091e-12 relative error 2.027294022527634e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.319873824347922 Order of pole (three term test) 1.5069593844050697 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6699000000000364 y[1] (analytic) 0.31525038785302106 y[1] (numeric) 0.3152503878595202 absolute error 6.499134563853204e-12 relative error 2.061578609978837e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3298703187524434 Order of pole (three term test) 1.5070136086561021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6599000000000375 y[1] (analytic) 0.3187535769372949 y[1] (numeric) 0.31875357694397244 absolute error 6.6775474039104665e-12 relative error 2.094893324200742e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3398667851618844 Order of pole (three term test) 1.5070678564751083 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6499000000000386 y[1] (analytic) 0.3222688104535214 y[1] (numeric) 0.32226881046037636 absolute error 6.8549610432455665e-12 relative error 2.1270941589410217e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3498632235517916 Order of pole (three term test) 1.5071221278832547 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6399000000000397 y[1] (analytic) 0.325796033140052 y[1] (numeric) 0.3257960331470832 absolute error 7.03120894840481e-12 relative error 2.1581628482819066e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3598596338975268 Order of pole (three term test) 1.5071764229039448 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6299000000000408 y[1] (analytic) 0.32933519032544334 y[1] (numeric) 0.32933519033264913 absolute error 7.205791519027116e-12 relative error 2.1879810389853805e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3698560161746005 Order of pole (three term test) 1.5072307415575963 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6199000000000419 y[1] (analytic) 0.3328862279178928 y[1] (numeric) 0.33288622792527317 absolute error 7.380374089649422e-12 relative error 2.217086040420335e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3798523703583834 Order of pole (three term test) 1.5072850838667835 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.609900000000043 y[1] (analytic) 0.33644909239495036 y[1] (numeric) 0.33644909240250337 absolute error 7.553013769978634e-12 relative error 2.2449202392593507e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3898486964242023 Order of pole (three term test) 1.5073394498537989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5999000000000441 y[1] (analytic) 0.34002373079347414 y[1] (numeric) 0.34002373080119963 absolute error 7.725486916854152e-12 relative error 2.272043453798379e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3998449943474098 Order of pole (three term test) 1.5073938395401945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5899000000000452 y[1] (analytic) 0.3436100906998476 y[1] (numeric) 0.3436100907077454 absolute error 7.897793530275976e-12 relative error 2.2984754359774915e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4098412641032467 Order of pole (three term test) 1.507448252948893 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5799000000000463 y[1] (analytic) 0.34720812024043024 y[1] (numeric) 0.3472081202484982 absolute error 8.067935208799781e-12 relative error 2.3236597125703744e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4198375056669934 Order of pole (three term test) 1.5075026901013235 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5699000000000474 y[1] (analytic) 0.3508177680722402 y[1] (numeric) 0.35081776808047715 absolute error 8.236966664298961e-12 relative error 2.347933147617201e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4298337190138561 Order of pole (three term test) 1.507557151019835 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5599000000000485 y[1] (analytic) 0.35443898337386903 y[1] (numeric) 0.3544389833822744 absolute error 8.405387497134598e-12 relative error 2.3714624777231215e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.439829904119005 Order of pole (three term test) 1.5076116357269644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5499000000000496 y[1] (analytic) 0.35807171583661157 y[1] (numeric) 0.3580717158451848 absolute error 8.573253218457921e-12 relative error 2.394283837366787e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4498260609576146 Order of pole (three term test) 1.5076661442443995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5399000000000507 y[1] (analytic) 0.36171591565580874 y[1] (numeric) 0.3617159156645492 absolute error 8.74045280596647e-12 relative error 2.4163860166671402e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4598221895047576 Order of pole (three term test) 1.5077206765948823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5299000000000518 y[1] (analytic) 0.36537153352239704 y[1] (numeric) 0.36537153353130325 absolute error 8.906209103543006e-12 relative error 2.437576079800716e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4698182897355296 Order of pole (three term test) 1.5077752328006429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5199000000000529 y[1] (analytic) 0.36903852061465425 y[1] (numeric) 0.36903852062372533 absolute error 9.071077222699842e-12 relative error 2.4580299117803357e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4798143616249437 Order of pole (three term test) 1.507829812883948 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.509900000000054 y[1] (analytic) 0.372716828590141 y[1] (numeric) 0.3727168285993768 absolute error 9.235834319554215e-12 relative error 2.477976203674566e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4898104051480565 Order of pole (three term test) 1.5078844168668426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4999000000000551 y[1] (analytic) 0.3764064095778341 y[1] (numeric) 0.37640640958723365 absolute error 9.399536704535194e-12 relative error 2.4971776423991895e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.499806420279792 Order of pole (three term test) 1.507939044772173 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4899000000000562 y[1] (analytic) 0.38010721617043153 y[1] (numeric) 0.38010721617999405 absolute error 9.562517444550167e-12 relative error 2.515742147937162e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.509802406995066 Order of pole (three term test) 1.507993696622586 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4799000000000573 y[1] (analytic) 0.38381920141684267 y[1] (numeric) 0.38381920142656695 absolute error 9.724276939238052e-12 relative error 2.5335566598392003e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5197983652687879 Order of pole (three term test) 1.5080483724405522 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4699000000000584 y[1] (analytic) 0.38754231881484635 y[1] (numeric) 0.38754231882473195 absolute error 9.885592344716088e-12 relative error 2.5508420280261225e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5297942950758798 Order of pole (three term test) 1.5081030722477269 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4599000000000595 y[1] (analytic) 0.39127652230391785 y[1] (numeric) 0.3912765223139634 absolute error 1.0045575482564573e-11 relative error 2.5673851892298895e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5397901963910905 Order of pole (three term test) 1.508157796067626 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4499000000000606 y[1] (analytic) 0.3950217662582123 y[1] (numeric) 0.3950217662684178 absolute error 1.0205503109261826e-11 relative error 2.5835293092661726e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5497860691892242 Order of pole (three term test) 1.5082125439227019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4399000000000617 y[1] (analytic) 0.39877800547971143 y[1] (numeric) 0.3987780054900755 absolute error 1.036409846832953e-11 relative error 2.598964417774747e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.559781913445058 Order of pole (three term test) 1.508267315835175 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4299000000000628 y[1] (analytic) 0.4025451951915162 y[1] (numeric) 0.40254519520203763 absolute error 1.0521417070918915e-11 relative error 2.6137231785646357e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.569777729133287 Order of pole (three term test) 1.508322111828103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4199000000000639 y[1] (analytic) 0.40632329103129106 y[1] (numeric) 0.4063232910419703 absolute error 1.067923527386938e-11 relative error 2.6282606755729814e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5797735162285984 Order of pole (three term test) 1.5083769319240095 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.409900000000065 y[1] (analytic) 0.4101122490448552 y[1] (numeric) 0.41011224905569094 absolute error 1.0835721209190297e-11 relative error 2.6421354725264888e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5897692747056442 Order of pole (three term test) 1.5084317761458201 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3999000000000661 y[1] (analytic) 0.41391202567990426 y[1] (numeric) 0.41391202569089625 absolute error 1.0991985099906287e-11 relative error 2.6556331824016287e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5997650045390193 Order of pole (three term test) 1.5084866445161786 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3899000000000672 y[1] (analytic) 0.4177225777798794 y[1] (numeric) 0.4177225777910247 absolute error 1.114525138845579e-11 relative error 2.6680988726275707e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6097607057033319 Order of pole (three term test) 1.5085415370575246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3799000000000683 y[1] (analytic) 0.4215438625779515 y[1] (numeric) 0.4215438625892522 absolute error 1.1300682611903312e-11 relative error 2.6807845197398883e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6197563781730893 Order of pole (three term test) 1.5085964537932364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3699000000000694 y[1] (analytic) 0.4253758376911616 y[1] (numeric) 0.4253758377026151 absolute error 1.1453504811242965e-11 relative error 2.692561212082438e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6297520219227775 Order of pole (three term test) 1.5086513947462739 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3599000000000705 y[1] (analytic) 0.4292184611146532 y[1] (numeric) 0.4292184611262591 absolute error 1.1605882921372768e-11 relative error 2.7039570691421387e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6397476369268653 Order of pole (three term test) 1.5087063599393766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3499000000000716 y[1] (analytic) 0.43307169121604927 y[1] (numeric) 0.43307169122780764 absolute error 1.1758372053805033e-11 relative error 2.715109828764831e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6497432231598548 Order of pole (three term test) 1.5087613493946153 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3399000000000727 y[1] (analytic) 0.43693548672994176 y[1] (numeric) 0.4369354867418511 absolute error 1.1909362385154054e-11 relative error 2.7256569326251396e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.659738780596024 Order of pole (three term test) 1.508816363136466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3299000000000738 y[1] (analytic) 0.4408098067524886 y[1] (numeric) 0.44080980676454895 absolute error 1.2060352716503075e-11 relative error 2.735953813131674e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6697343092097863 Order of pole (three term test) 1.5088714011871043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3199000000000749 y[1] (analytic) 0.4446946107361356 y[1] (numeric) 0.44469461074834565 absolute error 1.2210066291373778e-11 relative error 2.7457194210565224e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6797298089754804 Order of pole (three term test) 1.5089264635695556 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.309900000000076 y[1] (analytic) 0.44858985848443345 y[1] (numeric) 0.44858985849679256 absolute error 1.2359113732429705e-11 relative error 2.7551032415634914e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6897252798673454 Order of pole (three term test) 1.5089815503070274 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2999000000000771 y[1] (analytic) 0.4524955101469712 y[1] (numeric) 0.45249551015947864 absolute error 1.2507439528519626e-11 relative error 2.7641024602558356e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6997207218596275 Order of pole (three term test) 1.509036661423002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2899000000000782 y[1] (analytic) 0.45641152621440906 y[1] (numeric) 0.4564115262270635 absolute error 1.2654433056979997e-11 relative error 2.77259278746508e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7097161349265326 Order of pole (three term test) 1.50909179694043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2799000000000793 y[1] (analytic) 0.4603378675136085 y[1] (numeric) 0.4603378675264102 absolute error 1.2801704141196524e-11 relative error 2.780936578244474e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7197115190422871 Order of pole (three term test) 1.5091469568818574 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2699000000000804 y[1] (analytic) 0.464274495202869 y[1] (numeric) 0.4642744952158174 absolute error 1.2948364602749507e-11 relative error 2.788945922409888e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7297068741809762 Order of pole (three term test) 1.5092021412711218 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2599000000000815 y[1] (analytic) 0.4682213707672509 y[1] (numeric) 0.46822137078034437 absolute error 1.3093470752068015e-11 relative error 2.7964274100971514e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7397022003167335 Order of pole (three term test) 1.50925735013114 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2499000000000826 y[1] (analytic) 0.4721784560139932 y[1] (numeric) 0.47217845602723263 absolute error 1.3239409568654992e-11 relative error 2.8038995426472053e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7496974974235482 Order of pole (three term test) 1.5093125834858176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2399000000000837 y[1] (analytic) 0.4761457130680329 y[1] (numeric) 0.4761457130814153 absolute error 1.3382406294226712e-11 relative error 2.81056952250972e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7596927654754904 Order of pole (three term test) 1.5093678413583007 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22990000000008481 y[1] (analytic) 0.4801231043675873 y[1] (numeric) 0.4801231043811149 absolute error 1.3527567954696451e-11 relative error 2.8175207215896868e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7696880044465295 Order of pole (three term test) 1.509423123771854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21990000000008592 y[1] (analytic) 0.4841105926598588 y[1] (numeric) 0.4841105926735281 absolute error 1.3669287923789852e-11 relative error 2.8235878600975045e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.779683214310631 Order of pole (three term test) 1.5094784307493896 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.20990000000008702 y[1] (analytic) 0.4881081409967827 y[1] (numeric) 0.48810814101059474 absolute error 1.3812062604756647e-11 relative error 2.8297136320141174e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7896783950417323 Order of pole (three term test) 1.5095337623144958 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.19990000000008812 y[1] (analytic) 0.49211571273089305 y[1] (numeric) 0.49211571274484656 absolute error 1.3953505018093892e-11 relative error 2.8354113996201908e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7996735466136358 Order of pole (three term test) 1.5095891184913173 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18990000000008922 y[1] (analytic) 0.4961332715112441 y[1] (numeric) 0.496133271525338 absolute error 1.4093892719557743e-11 relative error 2.8407473412591574e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.809668669000249 Order of pole (three term test) 1.5096444993023803 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17990000000009032 y[1] (analytic) 0.5001607812794182 y[1] (numeric) 0.5001607812936529 absolute error 1.4234724510231445e-11 relative error 2.84602972544525e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.819663762175282 Order of pole (three term test) 1.5096999047725135 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16990000000009142 y[1] (analytic) 0.5041982062656136 y[1] (numeric) 0.5041982062799881 absolute error 1.4374501589031752e-11 relative error 2.850962460873811e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8296588261126046 Order of pole (three term test) 1.5097553349237605 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15990000000009252 y[1] (analytic) 0.5082455109847963 y[1] (numeric) 0.508245510999311 absolute error 1.4514722757041909e-11 relative error 2.8558486879535084e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8396538607858794 Order of pole (three term test) 1.509810789780565 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14990000000009363 y[1] (analytic) 0.512302660232935 y[1] (numeric) 0.5123026602475887 absolute error 1.465372267972498e-11 relative error 2.860364354356893e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8496488661687978 Order of pole (three term test) 1.509866269366489 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13990000000009473 y[1] (analytic) 0.5163696190832932 y[1] (numeric) 0.5163696190980867 absolute error 1.4793499758525286e-11 relative error 2.864905140001859e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8596438422350139 Order of pole (three term test) 1.509921773705041 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12990000000009583 y[1] (analytic) 0.5204463528828098 y[1] (numeric) 0.5204463528977398 absolute error 1.4929946168251718e-11 relative error 2.868681101434009e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8696387889581583 Order of pole (three term test) 1.5099773028197498 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11990000000009622 y[1] (analytic) 0.5245328272485206 y[1] (numeric) 0.5245328272635876 absolute error 1.5067058711792924e-11 relative error 2.872472022547836e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8796337063117423 Order of pole (three term test) 1.5100328567348202 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10990000000009593 y[1] (analytic) 0.5286290080640721 y[1] (numeric) 0.5286290080792734 absolute error 1.5201284675470106e-11 relative error 2.875605470675882e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8896285942693487 Order of pole (three term test) 1.510088435473892 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.09990000000009565 y[1] (analytic) 0.5327348614762757 y[1] (numeric) 0.5327348614916126 absolute error 1.53369539290793e-11 relative error 2.8789093859145354e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8996234528045215 Order of pole (three term test) 1.5101440390599734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.08990000000009536 y[1] (analytic) 0.5368503538917464 y[1] (numeric) 0.5368503539072178 absolute error 1.5471401937361406e-11 relative error 2.8818835314544935e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9096182818906302 Order of pole (three term test) 1.5101996675178213 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.07990000000009508 y[1] (analytic) 0.5409754519735825 y[1] (numeric) 0.5409754519891882 absolute error 1.5605627901038588e-11 relative error 2.884720155804899e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9196130815011043 Order of pole (three term test) 1.5102553208714764 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.06990000000009479 y[1] (analytic) 0.5451101226381194 y[1] (numeric) 0.5451101226538583 absolute error 1.5738854663993607e-11 relative error 2.8872798376635747e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9296078516094008 Order of pole (three term test) 1.5103109991434056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.0599000000000945 y[1] (analytic) 0.5492543330517328 y[1] (numeric) 0.5492543330676043 absolute error 1.5871526315436313e-11 relative error 2.8896497233352582e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.939602592188787 Order of pole (three term test) 1.5103667023591778 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.049900000000094216 y[1] (analytic) 0.5534080506277022 y[1] (numeric) 0.5534080506437064 absolute error 1.600419796687902e-11 relative error 2.8919344322378913e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.949597303212666 Order of pole (three term test) 1.5104224305412621 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.03990000000009393 y[1] (analytic) 0.5575712430231334 y[1] (numeric) 0.5575712430392689 absolute error 1.6135426328389713e-11 relative error 2.8938770659878274e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9595919846541998 Order of pole (three term test) 1.510478183714739 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.029900000000093692 y[1] (analytic) 0.5617438781359252 y[1] (numeric) 0.5617438781521921 absolute error 1.626687673450533e-11 relative error 2.8957817552876357e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9695866364866752 Order of pole (three term test) 1.5105339619031246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.019900000000093752 y[1] (analytic) 0.5659259241018022 y[1] (numeric) 0.5659259241181998 absolute error 1.6397549984503712e-11 relative error 2.8974728469152123e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9795812586832906 Order of pole (three term test) 1.5105897651304592 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.009900000000093813 y[1] (analytic) 0.5701173492913867 y[1] (numeric) 0.5701173493079154 absolute error 1.6528667323711943e-11 relative error 2.8991693279034294e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9895758512171995 Order of pole (three term test) 1.510645593420589 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.999999990618245e-05 y[1] (analytic) 0.5743181223073348 y[1] (numeric) 0.574318122323991 absolute error 1.6656231949241374e-11 relative error 2.9001752342977826e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9995704140614827 Order of pole (three term test) 1.5107014467984832 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.010099999999906177 y[1] (analytic) 0.5785282119815016 y[1] (numeric) 0.5785282119982885 absolute error 1.6786905199239754e-11 relative error 2.901657145075669e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.0095649471892534 Order of pole (three term test) 1.5107573252874364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.020099999999906117 y[1] (analytic) 0.582747587372185 y[1] (numeric) 0.5827475873891008 absolute error 1.6915802092398735e-11 relative error 2.902766559476989e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.0195594505735572 Order of pole (three term test) 1.5108132289116643 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.030099999999906056 y[1] (analytic) 0.5869762177613875 y[1] (numeric) 0.5869762177784312 absolute error 1.7043699784835553e-11 relative error 2.9036440096051743e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.029553924187405 Order of pole (three term test) 1.5108691576953222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.0400999999999063 y[1] (analytic) 0.5912140726521384 y[1] (numeric) 0.5912140726693101 absolute error 1.7171708499574834e-11 relative error 2.904482368382055e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.0395483680036945 Order of pole (three term test) 1.5109251116631397 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.05009999999990659 y[1] (analytic) 0.5954611217658643 y[1] (numeric) 0.5954611217831625 absolute error 1.729816290207964e-11 relative error 2.90500290779375e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.0495427819954593 Order of pole (three term test) 1.510981090838459 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.060099999999906874 y[1] (analytic) 0.5997173350397924 y[1] (numeric) 0.5997173350572176 absolute error 1.7425172416096757e-11 relative error 2.905564238015658e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.0595371661354784 Order of pole (three term test) 1.5110370952464363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.07009999999990715 y[1] (analytic) 0.6039826826244106 y[1] (numeric) 0.6039826826419619 absolute error 1.7551293751694175e-11 relative error 2.9059266526369148e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.0695315203966795 Order of pole (three term test) 1.5110931249109332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08009999999990744 y[1] (analytic) 0.6082571348809589 y[1] (numeric) 0.6082571348986351 absolute error 1.7676193841964505e-11 relative error 2.906039703985369e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.079525844751851 Order of pole (three term test) 1.5111491798560146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09009999999990773 y[1] (analytic) 0.6125406623789655 y[1] (numeric) 0.6125406623967667 absolute error 1.7801204954537297e-11 relative error 2.9061262456277688e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.0895201391737315 Order of pole (three term test) 1.5112052601066992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.10009999999990801 y[1] (analytic) 0.6168332358938309 y[1] (numeric) 0.6168332359117563 absolute error 1.7925438910992852e-11 relative error 2.906042973676304e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.099514403635077 Order of pole (three term test) 1.5112613656869955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1100999999999083 y[1] (analytic) 0.6211348264044396 y[1] (numeric) 0.6211348264224885 absolute error 1.804889571133117e-11 relative error 2.9057935482076783e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1095086381085815 Order of pole (three term test) 1.5113174966211467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12009999999990859 y[1] (analytic) 0.6254454050908196 y[1] (numeric) 0.6254454051089922 absolute error 1.8172574556274412e-11 relative error 2.905541300385061e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.119502842566962 Order of pole (three term test) 1.5113736529333468 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13009999999990818 y[1] (analytic) 0.6297649433318364 y[1] (numeric) 0.6297649433501318 absolute error 1.8295365222797955e-11 relative error 2.9051101393488876e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1294970169827345 Order of pole (three term test) 1.511429834648904 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14009999999990708 y[1] (analytic) 0.6340934127029256 y[1] (numeric) 0.6340934127213437 absolute error 1.8418044867019034e-11 relative error 2.9046264316970497e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.139491161328592 Order of pole (three term test) 1.5114860417911837 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15009999999990598 y[1] (analytic) 0.6384307849738611 y[1] (numeric) 0.6384307849924015 absolute error 1.8540391444332727e-11 relative error 2.90405661517275e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.149485275576922 Order of pole (three term test) 1.5115422743862155 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16009999999990487 y[1] (analytic) 0.6427770321065598 y[1] (numeric) 0.6427770321252224 absolute error 1.8662626999343956e-11 relative error 2.903437127829742e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.159479359700382 Order of pole (three term test) 1.5115985324565875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17009999999990377 y[1] (analytic) 0.6471321262529202 y[1] (numeric) 0.6471321262717044 absolute error 1.878419642054041e-11 relative error 2.902683340619523e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1694734136713296 Order of pole (three term test) 1.5116548160285201 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18009999999990267 y[1] (analytic) 0.6514960397526952 y[1] (numeric) 0.6514960397716019 absolute error 1.8906654020156566e-11 relative error 2.9020366765903046e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1794674374622813 Order of pole (three term test) 1.511711125125457 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19009999999990157 y[1] (analytic) 0.6558687451314062 y[1] (numeric) 0.655868745150433 absolute error 1.9026780151421008e-11 relative error 2.9010042470630166e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.189461431045593 Order of pole (three term test) 1.511767459772196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20009999999990047 y[1] (analytic) 0.6602502150982734 y[1] (numeric) 0.6602502151174197 absolute error 1.9146240148870675e-11 relative error 2.899846105467894e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.199455394393594 Order of pole (three term test) 1.5118238199936689 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21009999999989937 y[1] (analytic) 0.664640422544192 y[1] (numeric) 0.6646404225634592 absolute error 1.9267254458554817e-11 relative error 2.8988989843261807e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.209449327478545 Order of pole (three term test) 1.511880205814804 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22009999999989827 y[1] (analytic) 0.6690393405397432 y[1] (numeric) 0.6690393405591288 absolute error 1.9385604232979858e-11 relative error 2.8975283004046736e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.219443230272849 Order of pole (three term test) 1.5119366172593869 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23009999999989716 y[1] (analytic) 0.6734469423332179 y[1] (numeric) 0.6734469423527217 absolute error 1.9503842985102438e-11 relative error 2.8961216926057467e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.229437102748658 Order of pole (three term test) 1.5119930543524807 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24009999999989606 y[1] (analytic) 0.6778632013486883 y[1] (numeric) 0.6778632013683111 absolute error 1.9622858893342254e-11 relative error 2.8948110554312842e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.2394309448781247 Order of pole (three term test) 1.512049517119305 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25009999999989496 y[1] (analytic) 0.6822880911841058 y[1] (numeric) 0.6822880912038467 absolute error 1.974087560085991e-11 relative error 2.8933343342692334e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.249424756633515 Order of pole (three term test) 1.5121060055835631 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.26009999999989386 y[1] (analytic) 0.6867215856094204 y[1] (numeric) 0.6867215856292775 absolute error 1.9857115951538162e-11 relative error 2.8915817367115778e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.2594185379868743 Order of pole (three term test) 1.5121625197708255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27009999999989276 y[1] (analytic) 0.691163658564732 y[1] (numeric) 0.6911636585847064 absolute error 1.997435550293858e-11 relative error 2.8899603234951983e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.2694122889103094 Order of pole (three term test) 1.5122190597053113 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28009999999989166 y[1] (analytic) 0.6956142841584798 y[1] (numeric) 0.695614284178571 absolute error 2.0091150965129145e-11 relative error 2.8882602647291004e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.279406009375832 Order of pole (three term test) 1.5122756254124115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29009999999989056 y[1] (analytic) 0.700073436665642 y[1] (numeric) 0.7000734366858488 absolute error 2.0206725181992624e-11 relative error 2.8863722180682365e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.2893996993554953 Order of pole (three term test) 1.512332216916057 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30009999999988946 y[1] (analytic) 0.704541090525975 y[1] (numeric) 0.7045410905462981 absolute error 2.032307655497334e-11 relative error 2.884583571953362e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.2993933588212543 Order of pole (three term test) 1.5123888342415146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31009999999988835 y[1] (analytic) 0.7090172203422762 y[1] (numeric) 0.7090172203627141 absolute error 2.0437873615719582e-11 relative error 2.8825637839731527e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.309386987745018 Order of pole (three term test) 1.5124454774137497 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32009999999988725 y[1] (analytic) 0.7135018008786695 y[1] (numeric) 0.7135018008992213 absolute error 2.0551782498046123e-11 relative error 2.8804107393613905e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.319380586098654 Order of pole (three term test) 1.512502146457417 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33009999999988615 y[1] (analytic) 0.7179948070589175 y[1] (numeric) 0.7179948070795839 absolute error 2.066635751418744e-11 relative error 2.8783435912081174e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.32937415385404 Order of pole (three term test) 1.5125588413976454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34009999999988505 y[1] (analytic) 0.7224962139647633 y[1] (numeric) 0.7224962139855431 absolute error 2.077982230730413e-11 relative error 2.8761150447104735e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.339367690983005 Order of pole (three term test) 1.5126155622588184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35009999999988395 y[1] (analytic) 0.7270059968342881 y[1] (numeric) 0.7270059968551821 absolute error 2.0893953234235596e-11 relative error 2.873972611672708e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.3493611974573283 Order of pole (three term test) 1.5126723090658394 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36009999999988285 y[1] (analytic) 0.7315241310603033 y[1] (numeric) 0.73152413108131 absolute error 2.100664087123505e-11 relative error 2.8716265095434512e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.3593546732486734 Order of pole (three term test) 1.5127290818443744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.37009999999988175 y[1] (analytic) 0.7360505921887546 y[1] (numeric) 0.736050592209874 absolute error 2.1119439530536965e-11 relative error 2.869291833287602e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.3693481183288534 Order of pole (three term test) 1.5127858806181782 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.38009999999988064 y[1] (analytic) 0.7405853559171591 y[1] (numeric) 0.7405853559383904 absolute error 2.123123898911672e-11 relative error 2.866818634676273e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.3793415326694167 Order of pole (three term test) 1.5128427054133307 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39009999999987954 y[1] (analytic) 0.7451283980930583 y[1] (numeric) 0.745128398114401 absolute error 2.1342705380789084e-11 relative error 2.864299016841875e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.3893349162420785 Order of pole (three term test) 1.5128995562537104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40009999999987844 y[1] (analytic) 0.7496796947124977 y[1] (numeric) 0.7496796947339521 absolute error 2.1454393817066375e-11 relative error 2.861808045273807e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.3993282690183815 Order of pole (three term test) 1.512956433164792 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41009999999987734 y[1] (analytic) 0.7542392219185268 y[1] (numeric) 0.7542392219400915 absolute error 2.1564749985714116e-11 relative error 2.8591392967950886e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.409321590969876 Order of pole (three term test) 1.5130133361716394 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42009999999987624 y[1] (analytic) 0.758806955999717 y[1] (numeric) 0.7588069560213929 absolute error 2.1675883310479094e-11 relative error 2.8565741443317997e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.4193148820679946 Order of pole (three term test) 1.5130702652996568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43009999999987514 y[1] (analytic) 0.7633828733887089 y[1] (numeric) 0.7633828734104945 absolute error 2.178557334531206e-11 relative error 2.8538200298631805e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.4293081422843987 Order of pole (three term test) 1.513127220572291 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44009999999987404 y[1] (analytic) 0.7679669506607687 y[1] (numeric) 0.7679669506826652 absolute error 2.1896484625472112e-11 relative error 2.851227465795513e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.439301371590393 Order of pole (three term test) 1.513184202015414 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.45009999999987294 y[1] (analytic) 0.772559164532379 y[1] (numeric) 0.7725591645543851 absolute error 2.2006063638002615e-11 relative error 2.848463217871815e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.4492945699573827 Order of pole (three term test) 1.5132412096543484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.46009999999987183 y[1] (analytic) 0.7771594918598339 y[1] (numeric) 0.7771594918819487 absolute error 2.2114754472113418e-11 relative error 2.845587643688198e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.459287737356725 Order of pole (three term test) 1.5132982435139464 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47009999999987073 y[1] (analytic) 0.7817679096378654 y[1] (numeric) 0.7817679096600887 absolute error 2.222333428392176e-11 relative error 2.8427022918114108e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.4692808737597725 Order of pole (three term test) 1.5133553036188043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.48009999999986963 y[1] (analytic) 0.7863843949982856 y[1] (numeric) 0.7863843950206166 absolute error 2.23310259173104e-11 relative error 2.839708679285158e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.4792739791377976 Order of pole (three term test) 1.5134123899942609 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.49009999999986853 y[1] (analytic) 0.791008925208645 y[1] (numeric) 0.7910089252310828 absolute error 2.243782937227934e-11 relative error 2.8366088747179304e-09% Correct digits 11 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.489267053462047 Order of pole (three term test) 1.5134695026653122 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = arctan ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations 15001 Total Elapsed Time 27 Seconds Elapsed Time(since restart) 27 Seconds Time to Timeout 9 Minutes 33.0 Seconds Percent Done 100.0133333333245%