Initializing... Initialized Initializing(2)... PI = 0.3141592653589793238462643383279486e1+/-0.313e-31 E = 0.2718281828459045235360287471352649e1+/-0.256e-30 LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/sing3postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; ! #BEGIN FIRST INPUT BLOCK # Digits:=16; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-2.0) x_end=c(-0.7) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_h=c(0.001) $glob_min_h=c(0.001) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(0.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(2.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(5.0) $glob_subiter_method=3 $glob_max_iter=1000 $glob_upper_ratio_limit=c(1.1) $glob_lower_ratio_limit=c(0.9) # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(1.0)/c(x)/c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0e0+/-0.50e-31 min_size 0.1e1+/-0.50e-31 $glob_desired_digits_correct 8 estimated_h 0.1e-2+/-0.5e-31 estimated_answer 0.1e1+/-0.50e-31 desired_abs_gbl_error 0.9999999999999999999999999999751083e-8+/-0.815e-35 range 0.13e1+/-0.100e-29 estimated_steps 0.13e4+/-0.66e-25 step_error 0.1386750490563072805045854333606526e-10+/-0.7e-34 est_needed_step_err 0.1386750490563072805045854333606526e-10+/-0.7e-34 opt_iter 1 SETTING H FOR MIN H SETTING H FOR DISPLAY INTERVAL START of Soultion TOP MAIN SOLVE Loop x[1] -0.2e1+/-0.50e-30 y[1] (closed_form) 0.25e0+/-0.137e-30 y[1] (numeric) 0.25e0+/-0.161e-30 absolute error 0.0e0+/-0.298e-30 relative error 0.0e0+/-0.1192000000000000000000000000001306e-27% Desired digits 8 Estimated correct digits 23 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1999999999999999999999999999999974e1+/-0.503e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.2142857142857142492857142857142875e1+/-0.223e-28 Order of pole (ratio test) 0.1000000000000000000000002048044788e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.195e1+/-0.5e-30 y[1] (closed_form) 0.2629848783694937541091387245233394e0+/-0.147e-30 y[1] (numeric) 0.262984878241549065526360130812221e0+/-0.21e-30 absolute error 0.1279446885827785937111184e-9+/-0.357e-30 relative error 0.4865096783360156025865277160000009e-7+/-0.135e-27% Desired digits 8 Estimated correct digits 23 Correct digits 10 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1949999999999999999999999999999968e1+/-0.503e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.2089285714285713930535714285714303e1+/-0.211e-28 Order of pole (ratio test) 0.1000000000000000000000003045011423e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.19e1+/-0.5e-30 y[1] (closed_form) 0.2770083102493074792243767313019389e0+/-0.159e-30 y[1] (numeric) 0.2770083099645016478265917205289917e0+/-0.249e-30 absolute error 0.2848058313977850107729472e-9+/-0.408e-30 relative error 0.1028149051346003888890339392e-6+/-0.147e-27% Desired digits 8 Estimated correct digits 23 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.190000000000000000000000000000063e1+/-0.503e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.2035714285714285368214285714285733e1+/-0.213e-28 Order of pole (ratio test) 0.1000000000000000000000004568560301e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.185e1+/-0.5e-30 y[1] (closed_form) 0.2921840759678597516435354273192108e0+/-0.172e-30 y[1] (numeric) 0.2921840754897139002790418092258335e0+/-0.316e-30 absolute error 0.4781458513644936180933773e-9+/-0.488e-30 relative error 0.1636454176294979407924583809250001e-6+/-0.167e-27% Desired digits 8 Estimated correct digits 22 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1850000000000000000000000000000675e1+/-0.503e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1982142857142856805892857142857161e1+/-0.206e-28 Order of pole (ratio test) 0.1000000000000000000000006919339459e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18e1+/-0.5e-30 y[1] (closed_form) 0.3086419753086419753086419753086416e0+/-0.186e-30 y[1] (numeric) 0.308641974590852639622007144006154e0+/-0.376e-30 absolute error 0.7177893356866348313024876e-9+/-0.562e-30 relative error 0.2325637447624696853420059824000002e-6+/-0.182e-27% Desired digits 8 Estimated correct digits 22 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1800000000000000000000000000000723e1+/-0.504e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1928571428571428243571428571428596e1+/-0.214e-28 Order of pole (ratio test) 0.1000000000000000000000010582825059e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.175e1+/-0.5e-30 y[1] (closed_form) 0.3265306122448979591836734693877548e0+/-0.202e-30 y[1] (numeric) 0.3265306112283080224034234361503462e0+/-0.455e-30 absolute error 0.10165899367802500332374086e-8+/-0.657e-30 relative error 0.3113306681389515726789563837500002e-6+/-0.201e-27% Desired digits 8 Estimated correct digits 22 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1750000000000000000000000000000726e1+/-0.504e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1874999999999999681250000000000022e1+/-0.216e-28 Order of pole (ratio test) 0.1000000000000000000000016351143225e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17e1+/-0.5e-30 y[1] (closed_form) 0.3460207612456747404844290657439441e0+/-0.22e-30 y[1] (numeric) 0.3460207598541849888390608837076014e0+/-0.542e-30 absolute error 0.13914897516453681820363427e-8+/-0.762e-30 relative error 0.4021405382255114046085030403000006e-6+/-0.22e-27% Desired digits 8 Estimated correct digits 22 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.170000000000000000000000000000078e1+/-0.503e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1821428571428571118928571428571448e1+/-0.196e-28 Order of pole (ratio test) 0.1000000000000000000000025530531179e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.165e1+/-0.5e-30 y[1] (closed_form) 0.3673094582185491276400367309458218e0+/-0.24e-30 y[1] (numeric) 0.3673094563535532161087363165125783e0+/-0.635e-30 absolute error 0.18649959115313004144332435e-8+/-0.875e-30 relative error 0.507745136914396537829450542875e-6+/-0.238e-27% Desired digits 8 Estimated correct digits 21 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.165000000000000000000000000000076e1+/-0.503e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1767857142857142556607142857142875e1+/-0.181e-28 Order of pole (ratio test) 0.1000000000000000000000040298206228e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16e1+/-0.5e-30 y[1] (closed_form) 0.390625e0+/-0.263e-30 y[1] (numeric) 0.390624997532741695381517753901617e0+/-0.728e-30 absolute error 0.2467258304618482246098383e-8+/-0.991e-30 relative error 0.631618125982331455001186048e-6+/-0.253e-27% Desired digits 8 Estimated correct digits 21 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1600000000000000000000000000000853e1+/-0.504e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.17142857142857139942857142857143e1+/-0.195e-28 Order of pole (ratio test) 0.1000000000000000000000064322191324e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.155e1+/-0.5e-30 y[1] (closed_form) 0.4162330905306971904266389177939645e0+/-0.289e-30 y[1] (numeric) 0.4162330872916745153317838705789709e0+/-0.836e-30 absolute error 0.32390226750948550472149936e-8+/-0.112e-29 relative error 0.7781751976915389250934022124000002e-6+/-0.269e-27% Desired digits 8 Estimated correct digits 21 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1550000000000000000000000000000885e1+/-0.503e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1660714285714285431964285714285735e1+/-0.206e-28 Order of pole (ratio test) 0.1000000000000000000000103847464224e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15e1+/-0.5e-30 y[1] (closed_form) 0.444444444444444444444444444444444e0+/-0.318e-30 y[1] (numeric) 0.4444444402085715673361461553873818e0+/-0.953e-30 absolute error 0.42358728771082982890570622e-8+/-0.127e-29 relative error 0.9530713973493671150378389950000009e-6+/-0.285e-27% Desired digits 8 Estimated correct digits 21 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.15000000000000000000000000000009e1+/-0.502e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1607142857142856869642857142857158e1+/-0.208e-28 Order of pole (ratio test) 0.100000000000000000000016961370551e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.145e1+/-0.5e-30 y[1] (closed_form) 0.4756242568370986920332936979785965e0+/-0.351e-30 y[1] (numeric) 0.4756242513027042213696940234131307e0+/-0.105e-29 absolute error 0.55343944706635996745654658e-8+/-0.14e-29 relative error 0.116360643745702183157738918445e-5+/-0.294e-27% Desired digits 8 Estimated correct digits 20 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1450000000000000000000000000000966e1+/-0.503e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1553571428571428307321428571428585e1+/-0.206e-28 Order of pole (ratio test) 0.1000000000000000000000280259340158e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14e1+/-0.5e-30 y[1] (closed_form) 0.5102040816326530612244897959183671e0+/-0.389e-30 y[1] (numeric) 0.5102040743914145557463944992356075e0+/-0.111e-29 absolute error 0.72412385054780952966827596e-8+/-0.149e-29 relative error 0.14192827470737066781498208816e-5+/-0.292e-27% Desired digits 8 Estimated correct digits 20 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1400000000000000000000000000000957e1+/-0.502e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1499999999999999745000000000000012e1+/-0.209e-28 Order of pole (ratio test) 0.1000000000000000000000468372590411e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.135e1+/-0.5e-30 y[1] (closed_form) 0.5486968449931412894375857338820296e0+/-0.433e-30 y[1] (numeric) 0.5486968354865185149263967190052174e0+/-0.118e-29 absolute error 0.95066227745111890148768122e-8+/-0.161e-29 relative error 0.1732582000654664197961299023450001e-5+/-0.293e-27% Desired digits 8 Estimated correct digits 20 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1350000000000000000000000000001085e1+/-0.502e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1446428571428571182678571428571445e1+/-0.197e-28 Order of pole (ratio test) 0.1000000000000000000000791191454245e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13e1+/-0.5e-30 y[1] (closed_form) 0.5917159763313609467455621301775146e0+/-0.484e-30 y[1] (numeric) 0.5917159637866391970922866205275852e0+/-0.125e-29 absolute error 0.125447217496532755096499294e-7+/-0.173e-29 relative error 0.21200579756914035611308380686e-5+/-0.292e-27% Desired digits 8 Estimated correct digits 20 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1300000000000000000000000000001151e1+/-0.503e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1392857142857142620357142857142874e1+/-0.19e-28 Order of pole (ratio test) 0.1000000000000000000001349192534892e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.125e1+/-0.5e-30 y[1] (closed_form) 0.64e0+/-0.544e-30 y[1] (numeric) 0.6399999833350823420704571872918116e0+/-0.134e-29 absolute error 0.166649176579295428127081884e-7+/-0.188e-29 relative error 0.26038933840514910644856544375e-5+/-0.293e-27% Desired digits 8 Estimated correct digits 19 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1250000000000000000000000000001169e1+/-0.502e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1339285714285714058035714285714297e1+/-0.204e-28 Order of pole (ratio test) 0.100000000000000000000231702157042e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12e1+/-0.5e-30 y[1] (closed_form) 0.6944444444444444444444444444444441e0+/-0.612e-30 y[1] (numeric) 0.6944444221239808295019522913508158e0+/-0.144e-29 absolute error 0.223204636149424921530936283e-7+/-0.205e-29 relative error 0.3214146760551718870045482475200001e-5+/-0.295e-27% Desired digits 8 Estimated correct digits 19 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1200000000000000000000000000001352e1+/-0.502e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1285714285714285495714285714285725e1+/-0.191e-28 Order of pole (ratio test) 0.1000000000000000000003989797288869e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.115e1+/-0.5e-30 y[1] (closed_form) 0.7561436672967863894139886578449904e0+/-0.694e-30 y[1] (numeric) 0.7561436371112202591942951519124049e0+/-0.156e-29 absolute error 0.301855661302196935059325855e-7+/-0.225e-29 relative error 0.3992041120721554466159584432375e-5+/-0.297e-27% Desired digits 8 Estimated correct digits 19 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1150000000000000000000000000001358e1+/-0.502e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1232142857142856933392857142857154e1+/-0.182e-28 Order of pole (ratio test) 0.1000000000000000000006832628435324e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11e1+/-0.5e-30 y[1] (closed_form) 0.826446280991735537190082644628099e0+/-0.792e-30 y[1] (numeric) 0.8264462397119756912460322091001355e0+/-0.17e-29 absolute error 0.412797598459440504355279635e-7+/-0.249e-29 relative error 0.4994850941359230102698883583500001e-5+/-0.301e-27% Desired digits 8 Estimated correct digits 18 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1100000000000000000000000000001404e1+/-0.502e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1178571428571428371071428571428581e1+/-0.177e-28 Order of pole (ratio test) 0.1000000000000000000011449448609946e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.105e1+/-0.5e-30 y[1] (closed_form) 0.9070294784580498866213151927437638e0+/-0.909e-30 y[1] (numeric) 0.9070294212854010246187280643859121e0+/-0.19e-29 absolute error 0.571726488620025871283578517e-7+/-0.28e-29 relative error 0.6303284537035785230901453149925002e-5+/-0.308e-27% Desired digits 8 Estimated correct digits 18 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1050000000000000000000000000001535e1+/-0.501e-28 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.112499999999999980875000000000001e1+/-0.143e-28 Order of pole (ratio test) 0.1000000000000000000018100028142468e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1e1+/-0.5e-30 y[1] (closed_form) 0.1e1+/-0.105e-29 y[1] (numeric) 0.9999999196716305318914746417835598e0+/-0.208e-29 absolute error 0.803283694681085253582164402e-7+/-0.313e-29 relative error 0.803283694681085253582164402e-5+/-0.313e-27% Desired digits 8 Estimated correct digits 18 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1e1+/-0.1e-31 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1071428571428571246428571428571437e1+/-0.197e-28 Order of pole (ratio test) 0.1000000000000000000024300701550516e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.95e0+/-0.5e-30 y[1] (closed_form) 0.1108033240997229916897506925207747e1+/-0.122e-29 y[1] (numeric) 0.1108033126298146534627355661342076e1+/-0.237e-29 absolute error 0.114699083382270151263865671e-6+/-0.359e-29 relative error 0.1035159227524988115156387680775008e-4+/-0.323e-27% Desired digits 8 Estimated correct digits 17 Correct digits 7 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.950000000000000000000000000000013e0+/-0.498e-29 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.1017857142857142684107142857142867e1+/-0.17e-28 Order of pole (ratio test) 0.1000000000000000000014909950130029e1+/-0.5e-31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9e0+/-0.5e-30 y[1] (closed_form) 0.1234567901234567901234567901234566e1+/-0.143e-29 y[1] (numeric) 0.1234567734459981149321167749918097e1+/-0.274e-29 absolute error 0.166774586751913400151316469e-6+/-0.417e-29 relative error 0.1350874152690498541225663398900002e-4+/-0.337e-27% Desired digits 8 Estimated correct digits 17 Correct digits 7 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.9000000000000000000000000000000154e0+/-0.499e-29 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.9642857142857141217857142857142947e0+/-0.158e-28 Order of pole (ratio test) 0.9999999999999999999231918862804747e0+/-0.5e-31 Radius of convergence (three term test) for eq 1 0.900000000000003861000000000016421e0+/-0.435e-27 Order of pole (three term test) 0.530400000000002256205906288328297e-13+/-0.813e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.85e0+/-0.5e-30 y[1] (closed_form) 0.1384083044982698961937716262975776e1+/-0.169e-29 y[1] (numeric) 0.1384082797489947842007674416646995e1+/-0.3e-29 absolute error 0.247492751119930041846328781e-6+/-0.469e-29 relative error 0.1788135126841494552339725442725003e-4+/-0.338e-27% Desired digits 8 Estimated correct digits 17 Correct digits 7 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.8500000000000000000000000000000193e0+/-0.497e-29 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.9107142857142855594642857142857233e0+/-0.174e-28 Order of pole (ratio test) 0.9999999999999999994780541081366345e0+/-0.5e-31 Radius of convergence (three term test) for eq 1 0.8500000000000036465000000000155106e0+/-0.482e-27 Order of pole (three term test) 0.530400000000002254748895944367258e-13+/-0.958e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8e0+/-0.5e-30 y[1] (closed_form) 0.15625e1+/-0.203e-29 y[1] (numeric) 0.1562499624170607101578402091452959e1+/-0.341e-29 absolute error 0.375829392898421597908547041e-6+/-0.544e-29 relative error 0.24053081145498982266147010624e-4+/-0.348e-27% Desired digits 8 Estimated correct digits 16 Correct digits 7 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.8000000000000000000000000000000211e0+/-0.5e-29 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.8571428571428569971428571428571501e0+/-0.182e-28 Order of pole (ratio test) 0.9999999999999999975888165364271123e0+/-0.5e-31 Radius of convergence (three term test) for eq 1 0.8000000000000034320000000000146467e0+/-0.502e-27 Order of pole (three term test) 0.530400000000002260564359328487831e-13+/-0.106e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.75e0+/-0.5e-30 y[1] (closed_form) 0.1777777777777777777777777777777773e1+/-0.245e-29 y[1] (numeric) 0.1777777191990105382969100805753375e1+/-0.395e-29 absolute error 0.585787672394808676972024398e-6+/-0.640e-29 relative error 0.3295055657220798807967637238750008e-4+/-0.36e-27% Desired digits 8 Estimated correct digits 16 Correct digits 7 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.7500000000000000000000000000000226e0+/-0.498e-29 Order of pole (given) 0.2e1+/-0.50e-31 Radius of convergence (ratio test) for eq 1 0.8035714285714284348214285714285809e0+/-0.19e-28 Order of pole (ratio test) 0.9999999999999999897529123479737417e0+/-0.5e-31 Radius of convergence (three term test) for eq 1 0.7500000000000032175000000000136662e0+/-0.506e-27 Order of pole (three term test) 0.530400000000002254385544980906842e-13+/-0.114e-25 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; Iterations 26 Total Elapsed Time 1 Minutes 30 Seconds Elapsed Time(since restart) 1 Minutes 26 Seconds Time to Timeout 3 Minutes 30 Seconds Percent Done 0.1038461538461538461538461538461538e3+/-0.161e-27%