##############ECHO OF PROBLEM################# ##############temp/expt_lin_sin_newpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 * x + 1.0 , sin ( x ) ) * ( cos ( x ) * ln ( 2.0* x + 1.0 )+ ( 2.0 * sin ( x ) ) / ( 2.0 * x + 1.0 ) ); ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK 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 $glob_max_h=0.00001 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(expt(2.0*x+1.0,sin(x))) 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 1.031890051472423e-152 estimated_step_error 1.031890051472423e-152 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 1.6681238136644625e-144 estimated_step_error 1.6681238136644625e-144 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 1.1194571309197246e-136 estimated_step_error 1.1194571309197246e-136 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 7.512525334680391e-129 estimated_step_error 7.512525334680391e-129 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 5.041537794430858e-121 estimated_step_error 5.041537794430858e-121 best_h 1.0e-05 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 1.0183684460594404 y[1] (numeric) 1.0183684460594404 absolute error 0.0 relative error 0.0% Correct digits 16 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6055393153090742 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6750459653949343 Order of pole (six term test) 0.021950371935655966 TOP MAIN SOLVE Loop x[1] 0.11000999999999612 y[1] (analytic) 1.0220733759927472 y[1] (numeric) 1.0220733759945166 absolute error 1.7694734566475745e-12 relative error 1.731258731721558e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6247235663207756 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6912631337324555 Order of pole (six term test) 0.23675363410175088 TOP MAIN SOLVE Loop x[1] 0.12000999999999225 y[1] (analytic) 1.0260900641274175 y[1] (numeric) 1.0260900641291884 absolute error 1.7708057242771247e-12 relative error 1.7257800130664068e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6349665885418664 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7031641030203336 Order of pole (six term test) 0.23579632701181552 TOP MAIN SOLVE Loop x[1] 0.13000999999999532 y[1] (analytic) 1.030417767205002 y[1] (numeric) 1.030417767206771 absolute error 1.7688073228327994e-12 relative error 1.7165924143861296e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6452095490199201 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7150332232050517 Order of pole (six term test) 0.23480753613824135 TOP MAIN SOLVE Loop x[1] 0.14000000000000531 y[1] (analytic) 1.0350478154533707 y[1] (numeric) 1.0350478154551372 absolute error 1.766586876783549e-12 relative error 1.7067683737970602e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6554422038111939 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.726846414887711 Order of pole (six term test) 0.23379823305012337 TOP MAIN SOLVE Loop x[1] 0.15000000000001532 y[1] (analytic) 1.0399859731534131 y[1] (numeric) 1.039985973155176 absolute error 1.7628121184998236e-12 relative error 1.6950345139316442e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.665685037943059 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7386107927701608 Order of pole (six term test) 0.23277995076134772 TOP MAIN SOLVE Loop x[1] 0.16000000000002532 y[1] (analytic) 1.045224599813295 y[1] (numeric) 1.0452245998150544 absolute error 1.759481449425948e-12 relative error 1.6833525059975037e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.675927808030435 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7502927842457922 Order of pole (six term test) 0.23177188173163188 TOP MAIN SOLVE Loop x[1] 0.17000000000003532 y[1] (analytic) 1.0507608625916391 y[1] (numeric) 1.0507608625933904 absolute error 1.751265799043722e-12 relative error 1.6666644727557982e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6861705139343619 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7618643705314624 Order of pole (six term test) 0.23079809099256998 TOP MAIN SOLVE Loop x[1] 0.18000000000004532 y[1] (analytic) 1.056592232838107 y[1] (numeric) 1.0565922328398512 absolute error 1.744160371686121e-12 relative error 1.6507412391260352e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.696413155836903 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7732905408218679 Order of pole (six term test) 0.22988958724972441 TOP MAIN SOLVE Loop x[1] 0.19000000000005532 y[1] (analytic) 1.06271646596987 y[1] (numeric) 1.0627164659716082 absolute error 1.738165167353145e-12 relative error 1.6355869350032497e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7066557342456238 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.784529266369792 Order of pole (six term test) 0.22908494470143737 TOP MAIN SOLVE Loop x[1] 0.20000000000006532 y[1] (analytic) 1.0691315827959662 y[1] (numeric) 1.0691315827977002 absolute error 1.7339463198595695e-12 relative error 1.6218268618769978e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.716898249998496 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7955325791473867 Order of pole (six term test) 0.2284300308333993 TOP MAIN SOLVE Loop x[1] 0.21000000000007532 y[1] (analytic) 1.0758358521486366 y[1] (numeric) 1.0758358521503668 absolute error 1.730171561575844e-12 relative error 1.6082114740091453e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7271407042693123 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8062499959026832 Order of pole (six term test) 0.22797571334467648 TOP MAIN SOLVE Loop x[1] 0.22000000000008532 y[1] (analytic) 1.0828277746952788 y[1] (numeric) 1.0828277746970012 absolute error 1.7224000004034679e-12 relative error 1.590650000539719e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7373830985737241 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8166356290464029 Order of pole (six term test) 0.22777213628867266 TOP MAIN SOLVE Loop x[1] 0.23000000000009532 y[1] (analytic) 1.0901060678174883 y[1] (numeric) 1.0901060678192027 absolute error 1.7144063946261667e-12 relative error 1.5726968643139434e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7476254347759744 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.826661348803825 Order of pole (six term test) 0.2278571635675135 TOP MAIN SOLVE Loop x[1] 0.24000000000010532 y[1] (analytic) 1.0976696514550293 y[1] (numeric) 1.0976696514567366 absolute error 1.7073009672685657e-12 relative error 1.55538687346e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7578677150963676 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8363393233750813 Order of pole (six term test) 0.2282354895962868 TOP MAIN SOLVE Loop x[1] 0.2500000000001153 y[1] (analytic) 1.1055176348226559 y[1] (numeric) 1.1055176348243563 absolute error 1.7004175845158898e-12 relative error 1.5381189145740459e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7681099421194262 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8457589758688674 Order of pole (six term test) 0.22884307864029907 TOP MAIN SOLVE Loop x[1] 0.2600000000001253 y[1] (analytic) 1.113649303916657 y[1] (numeric) 1.1136493039183484 absolute error 1.6913137557139635e-12 relative error 1.5187130722083561e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.778352118802512 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8551467986535842 Order of pole (six term test) 0.22948799976594003 TOP MAIN SOLVE Loop x[1] 0.2700000000001353 y[1] (analytic) 1.122064109735975 y[1] (numeric) 1.1220641097376545 absolute error 1.6795453916529368e-12 relative error 1.4968354990412614e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.788594248484455 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8649608944351205 Order of pole (six term test) 0.22975421506941984 TOP MAIN SOLVE Loop x[1] 0.2800000000001453 y[1] (analytic) 1.130761657149848 y[1] (numeric) 1.1307616571515164 absolute error 1.6684431614066852e-12 relative error 1.4755038348329704e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7988363348933002 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.876042276833475 Order of pole (six term test) 0.2288425433658059 TOP MAIN SOLVE Loop x[1] 0.2900000000001553 y[1] (analytic) 1.1397416943502796 y[1] (numeric) 1.1397416943519412 absolute error 1.6615597786540093e-12 relative error 1.457838900595101e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8090783821517076 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8898588101365542 Order of pole (six term test) 0.22530149731955795 TOP MAIN SOLVE Loop x[1] 0.3000000000001653 y[1] (analytic) 1.149004102833311 y[1] (numeric) 1.1490041028349616 absolute error 1.6506795930126827e-12 relative error 1.4366176665011885e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8193203947776211 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9089094478839217 Order of pole (six term test) 0.2165475341120242 TOP MAIN SOLVE Loop x[1] 0.3100000000001753 y[1] (analytic) 1.158548887858167 y[1] (numeric) 1.1585488878598105 absolute error 1.6435741656550817e-12 relative error 1.4186489520468928e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8295623776765908 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9374223239375938 Order of pole (six term test) 0.1979449430962834 TOP MAIN SOLVE Loop x[1] 0.3200000000001853 y[1] (analytic) 1.1683761693379184 y[1] (numeric) 1.1683761693395545 absolute error 1.6360246490876307e-12 relative error 1.4002550651257408e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8398043361203498 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9826394127010006 Order of pole (six term test) 0.16086283821168657 TOP MAIN SOLVE Loop x[1] 0.3300000000001953 y[1] (analytic) 1.1784861731194074 y[1] (numeric) 1.1784861731210334 absolute error 1.6260326418660043e-12 relative error 1.379763869067686e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.850046275703815 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0574426485782322 Order of pole (six term test) 0.08801799967501722 TOP MAIN SOLVE Loop x[1] 0.3400000000002053 y[1] (analytic) 1.1888792226138918 y[1] (numeric) 1.1888792226155078 absolute error 1.6160406346443779e-12 relative error 1.3592975669061834e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8602882022694576 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1867045071655191 Order of pole (six term test) -0.05977398181782512 TOP MAIN SOLVE Loop x[1] 0.3500000000002153 y[1] (analytic) 1.1995557307432132 y[1] (numeric) 1.1995557307448184 absolute error 1.6051604490030513e-12 relative error 1.3381291155255756e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8705301217835916 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.427234744692472 Order of pole (six term test) -0.39235542637271337 TOP MAIN SOLVE Loop x[1] 0.3600000000002253 y[1] (analytic) 1.2105161921693084 y[1] (numeric) 1.2105161921708978 absolute error 1.5893952820533741e-12 relative error 1.3129896917818956e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8807720401435205 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9642741171263398 Order of pole (six term test) -1.3755619834838608 TOP MAIN SOLVE Loop x[1] 0.3700000000002353 y[1] (analytic) 1.2217611757776348 y[1] (numeric) 1.2217611757792157 absolute error 1.580957587066223e-12 relative error 1.293998875074717e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8910139628871583 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.709946528193373 Order of pole (six term test) -11.356833245349874 TOP MAIN SOLVE Loop x[1] 0.3800000000002453 y[1] (analytic) 1.2332913173875661 y[1] (numeric) 1.2332913173891353 absolute error 1.5691892230051963e-12 relative error 1.272358931650593e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9012558947675205 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3900000000002553 y[1] (analytic) 1.2451073126650811 y[1] (numeric) 1.2451073126666394 absolute error 1.5583090373638697e-12 relative error 1.251545968377937e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.911497839142959 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4000000000002653 y[1] (analytic) 1.2572099102151315 y[1] (numeric) 1.2572099102166796 absolute error 1.5480949855373183e-12 relative error 1.2313735144455003e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9217397971199167 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4100000000002753 y[1] (analytic) 1.2695999048329725 y[1] (numeric) 1.2695999048345115 absolute error 1.538991156735392e-12 relative error 1.2121859421042257e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9319817663680058 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4200000000002853 y[1] (analytic) 1.2822781308954565 y[1] (numeric) 1.2822781308969817 absolute error 1.52522439123004e-12 relative error 1.1894645588043573e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9422237395072132 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4300000000002953 y[1] (analytic) 1.2952454558748916 y[1] (numeric) 1.2952454558764077 absolute error 1.5161205624281138e-12 relative error 1.1705276058305326e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.952465701944084 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000003053 y[1] (analytic) 1.3085027739595216 y[1] (numeric) 1.3085027739610238 absolute error 1.5021317523178368e-12 relative error 1.1479775069734052e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9627076290080683 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000003153 y[1] (analytic) 1.3220509997660377 y[1] (numeric) 1.3220509997675227 absolute error 1.4850343177386094e-12 relative error 1.1232806586140888e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9729494822117002 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000003253 y[1] (analytic) 1.3358910621307836 y[1] (numeric) 1.3358910621322546 absolute error 1.4710455076283324e-12 relative error 1.1011717566864874e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9831912044302179 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000003353 y[1] (analytic) 1.350023897967471 y[1] (numeric) 1.350023897968923 absolute error 1.4519496716047797e-12 relative error 1.0754992365622291e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9934327137699632 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000003453 y[1] (analytic) 1.3644504461803098 y[1] (numeric) 1.3644504461817455 absolute error 1.4357404154452524e-12 relative error 1.0522481189877685e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.003673895873805 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000003553 y[1] (analytic) 1.3791716416224615 y[1] (numeric) 1.3791716416238824 absolute error 1.4208634269152753e-12 relative error 1.03022958421895e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0139145944008456 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000003653 y[1] (analytic) 1.3941884090906707 y[1] (numeric) 1.3941884090920766 absolute error 1.4059864383852982e-12 relative error 1.0084622919095437e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0241545994238688 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000003198 y[1] (analytic) 1.4095016573477332 y[1] (numeric) 1.409501657349205 absolute error 1.4717116414431075e-12 relative error 1.0441361553362307e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0343936335205464 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000002742 y[1] (analytic) 1.425112273165809 y[1] (numeric) 1.4251122731673544 absolute error 1.545430450278218e-12 relative error 1.0844271566373705e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.044631335406551 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000002287 y[1] (analytic) 1.4410211153831056 y[1] (numeric) 1.4410211153847206 absolute error 1.6149304116197527e-12 relative error 1.1206847660871452e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0548672410850162 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000001832 y[1] (analytic) 1.4572290089689028 y[1] (numeric) 1.4572290089705957 absolute error 1.6928680679484387e-12 relative error 1.1617035191649581e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.065100762691262 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000001377 y[1] (analytic) 1.4737367390913374 y[1] (numeric) 1.4737367390931033 absolute error 1.765920742968774e-12 relative error 1.1982606500382073e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.075331165516651 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000922 y[1] (analytic) 1.4905450451835645 y[1] (numeric) 1.4905450451854065 absolute error 1.8420820424580597e-12 relative error 1.2358445981960932e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0855575441359377 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000467 y[1] (analytic) 1.5076546150044718 y[1] (numeric) 1.5076546150063945 absolute error 1.922684234045846e-12 relative error 1.2752816294335046e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0957787991761108 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000012 y[1] (analytic) 1.5250660786907668 y[1] (numeric) 1.5250660786927677 absolute error 2.000843934979457e-12 relative error 1.3119719616982985e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1059936170979974 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900099999999556 y[1] (analytic) 1.5427978682754115 y[1] (numeric) 1.5427978682774919 absolute error 2.0803359035426183e-12 relative error 1.3484176678751078e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1162106587420961 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000099999999101 y[1] (analytic) 1.560815052986506 y[1] (numeric) 1.5608150529886682 absolute error 2.162270362759955e-12 relative error 1.3853469433310552e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1264077372065475 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100099999998646 y[1] (analytic) 1.5791356169630002 y[1] (numeric) 1.5791356169652468 absolute error 2.2466473126314668e-12 relative error 1.4227070104037218e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1365930773965591 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200099999998191 y[1] (analytic) 1.5977599000385232 y[1] (numeric) 1.5977599000408542 absolute error 2.3310242625029787e-12 relative error 1.4589327610780418e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1467645219419085 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300099999997736 y[1] (analytic) 1.6166881544794194 y[1] (numeric) 1.6166881544818363 absolute error 2.4169555246089658e-12 relative error 1.4950041650965372e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1569198246865562 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400099999997281 y[1] (analytic) 1.6359205389508757 y[1] (numeric) 1.6359205389533802 absolute error 2.504441098949428e-12 relative error 1.5309063241883002e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1670417865936973 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500099999996826 y[1] (analytic) 1.6554571124681527 y[1] (numeric) 1.6554571124707447 absolute error 2.5919266732898905e-12 relative error 1.5656863918543544e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.176223658362299 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.660009999999637 y[1] (analytic) 1.6752978283341464 y[1] (numeric) 1.675297828336828 absolute error 2.681632693679603e-12 relative error 1.6006901270481074e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1852041191860856 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700099999995915 y[1] (analytic) 1.695442528065001 y[1] (numeric) 1.6954425280677736 absolute error 2.772670981698866e-12 relative error 1.6353671302932926e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1939629840719683 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.680009999999546 y[1] (analytic) 1.715890935305978 y[1] (numeric) 1.715890935308847 absolute error 2.8690383402363295e-12 relative error 1.6720400354144432e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2024836825484486 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900099999995005 y[1] (analytic) 1.7366426497402723 y[1] (numeric) 1.7366426497432348 absolute error 2.9625191189097677e-12 relative error 1.7058887269369056e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2107559329656035 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.700009999999455 y[1] (analytic) 1.7576971409939333 y[1] (numeric) 1.7576971409969926 absolute error 3.0593305666570814e-12 relative error 1.740533391848784e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2187792846375403 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.0714669725202089 Order of pole (six term test) -12.530017610663009 TOP MAIN SOLVE Loop x[1] 0.7100099999994095 y[1] (analytic) 1.7790537425405173 y[1] (numeric) 1.7790537425436719 absolute error 3.1545877021699198e-12 relative error 1.7731829155791088e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2265677270673823 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.12403595367087958 Order of pole (six term test) -12.372226827484594 TOP MAIN SOLVE Loop x[1] 0.720009999999364 y[1] (analytic) 1.8007116456095547 y[1] (numeric) 1.800711645612807 absolute error 3.2522873283369336e-12 relative error 1.8061122313872798e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2341556049576483 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.1526036931116032 Order of pole (six term test) -12.245756992792293 TOP MAIN SOLVE Loop x[1] 0.7300099999993185 y[1] (analytic) 1.8226698931033676 y[1] (numeric) 1.822669893106723 absolute error 3.355316025022148e-12 relative error 1.8408797104281027e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.241605129229641 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.17252219751168382 Order of pole (six term test) -12.14132945515072 TOP MAIN SOLVE Loop x[1] 0.740009999999273 y[1] (analytic) 1.8449273735272158 y[1] (numeric) 1.8449273735306708 absolute error 3.455014052633487e-12 relative error 1.8727100601407602e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.249015844658684 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.18766065907208335 Order of pole (six term test) -12.051656556880069 TOP MAIN SOLVE Loop x[1] 0.7500099999992275 y[1] (analytic) 1.8674828149381932 y[1] (numeric) 1.8674828149417493 absolute error 3.5560443478743764e-12 relative error 1.904191202954694e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.256536514676998 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.19923759338773664 Order of pole (six term test) -11.971179407687849 TOP MAIN SOLVE Loop x[1] 0.760009999999182 y[1] (analytic) 1.8903347789187184 y[1] (numeric) 1.8903347789223794 absolute error 3.661071446003916e-12 relative error 1.9367317825565633e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2643800299656567 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.2074510464117892 Order of pole (six term test) -11.895854753863407 TOP MAIN SOLVE Loop x[1] 0.7700099999991364 y[1] (analytic) 1.9134816545808944 y[1] (numeric) 1.913481654584658 absolute error 3.763656053479281e-12 relative error 1.9669151488696274e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2728421650933819 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.21203908948552525 Order of pole (six term test) -11.822966326475223 TOP MAIN SOLVE Loop x[1] 0.7800099999990909 y[1] (analytic) 1.9369216526084256 y[1] (numeric) 1.9369216526123003 absolute error 3.874678355941796e-12 relative error 2.0004311226134627e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2813374264383959 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.21250654085907977 Order of pole (six term test) -11.750944892540504 TOP MAIN SOLVE Loop x[1] 0.7900099999990454 y[1] (analytic) 1.9606527993431868 y[1] (numeric) 1.960652799347169 absolute error 3.9821479447255115e-12 relative error 2.0310316778470517e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2809161919557719 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.20819521133849417 Order of pole (six term test) -11.679188935492908 TOP MAIN SOLVE Loop x[1] 0.8000099999989999 y[1] (analytic) 1.9846729309239373 y[1] (numeric) 1.9846729309280275 absolute error 4.090283667324002e-12 relative error 2.0609358870127916e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2778622542424227 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.19823992380615107 Order of pole (six term test) -11.607883966179505 TOP MAIN SOLVE Loop x[1] 0.8100099999989544 y[1] (analytic) 2.0089796874850667 y[1] (numeric) 2.0089796874892665 absolute error 4.199751657552042e-12 relative error 2.090489855977332e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2717108973780546 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.18136565597108054 Order of pole (six term test) -11.537822678557628 TOP MAIN SOLVE Loop x[1] 0.8200099999989089 y[1] (analytic) 2.0335705074236348 y[1] (numeric) 2.0335705074279375 absolute error 4.302780354237257e-12 relative error 2.1158746837298122e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2619589334839558 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.15527367737808975 Order of pole (six term test) -11.47023051597964 TOP MAIN SOLVE Loop x[1] 0.8300099999988634 y[1] (analytic) 2.0584426217433354 y[1] (numeric) 2.0584426217477487 absolute error 4.413358567489922e-12 relative error 2.1440279757480743e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2480722285132737 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.1142069898144466 Order of pole (six term test) -11.406601925270339 TOP MAIN SOLVE Loop x[1] 0.8400099999988179 y[1] (analytic) 2.0835930484843797 y[1] (numeric) 2.083593048488906 absolute error 4.526157226791838e-12 relative error 2.1722846647449687e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2294957549128287 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500099999987724 y[1] (analytic) 2.10901858724863 y[1] (numeric) 2.1090185872532703 absolute error 4.640288153723304e-12 relative error 2.2002120710452827e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2056656741245253 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600099999987268 y[1] (analytic) 2.13471581382965 y[1] (numeric) 2.134715813834405 absolute error 4.7553072590744705e-12 relative error 2.227606704493146e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1760224548363796 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700099999986813 y[1] (analytic) 2.160681074957659 y[1] (numeric) 2.1606810749625325 absolute error 4.873434988894587e-12 relative error 2.255508712219404e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1400234447733464 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800099999986358 y[1] (analytic) 2.1869104831696777 y[1] (numeric) 2.1869104831746773 absolute error 4.999556324492005e-12 relative error 2.2861275589322327e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0971526519082522 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900099999985903 y[1] (analytic) 2.2133999118154306 y[1] (numeric) 2.2133999118205514 absolute error 5.120792678781072e-12 relative error 2.3135415572421333e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0469247492138096 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000099999985448 y[1] (analytic) 2.2401449902098625 y[1] (numeric) 2.2401449902151094 absolute error 5.24691401437849e-12 relative error 2.3422207211181207e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100099999984993 y[1] (analytic) 2.2671410989433447 y[1] (numeric) 2.2671410989487124 absolute error 5.367706279457707e-12 relative error 2.367610150933903e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200099999984538 y[1] (analytic) 2.2943833653609085 y[1] (numeric) 2.2943833653663908 absolute error 5.482281295599023e-12 relative error 2.389435601027667e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300099999984083 y[1] (analytic) 2.3218666592220334 y[1] (numeric) 2.3218666592276485 absolute error 5.615063969344192e-12 relative error 2.4183404103083076e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400099999983628 y[1] (analytic) 2.349585588552716 y[1] (numeric) 2.3495855885584556 absolute error 5.739408948102209e-12 relative error 2.442732444421204e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500099999983173 y[1] (analytic) 2.377534495701708 y[1] (numeric) 2.377534495707572 absolute error 5.864198016070077e-12 relative error 2.46650386216134e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600099999982717 y[1] (analytic) 2.4057074536129575 y[1] (numeric) 2.405707453618942 absolute error 5.984546191939444e-12 relative error 2.487645030550863e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700099999982262 y[1] (analytic) 2.4340982623263945 y[1] (numeric) 2.434098262332499 absolute error 6.104450278598961e-12 relative error 2.507889830529939e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800099999981807 y[1] (analytic) 2.4627004457193094 y[1] (numeric) 2.4627004457255475 absolute error 6.2381211307638296e-12 relative error 2.5330409719976275e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900099999981352 y[1] (analytic) 2.4915072485006156 y[1] (numeric) 2.491507248506985 absolute error 6.369571536879448e-12 relative error 2.556513347778797e-10% Correct digits 12 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = expt ( 2.0 * x + 1.0 , sin ( x ) ) * ( cos ( x ) * ln ( 2.0* x + 1.0 )+ ( 2.0 * sin ( x ) ) / ( 2.0 * x + 1.0 ) ); Iterations 90001 Total Elapsed Time 2 Minutes 56.0 Seconds Elapsed Time(since restart) 2 Minutes 56.0 Seconds Time to Timeout 4.0 Seconds Percent Done 100.00222222200998%