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/mult_lin_linpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   ( 0.1  *  x  +  0.2 )   *   ( 0.2  *  x  +  0.3 )  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.1) 
x_end=c(5.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
#  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=3 
#  ELIMINATED in preodein.rb
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE  BLOCK
$glob_desired_digits_correct=8 
$glob_max_minutes=(20.0) 
$glob_subiter_method=3 
$glob_max_iter=1000 
$glob_upper_ratio_limit=c(1.11) 
$glob_lower_ratio_limit=c(0.99) 
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
x = c(x)

return(c(0.06) * c(x) + c(2.0)/c(300.0) * c(x) * c(x) * c(x) + c(0.035) * c(x) * c(x)) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1e0+/-0.50e-31 
y[1] (closed_form)               0.6356666666666666666666666666666666e-2+/-0.886e-32 
y[1] (numeric)                   0.6356666666666666666666666666666666e-2+/-0.948e-32 
absolute error                   0.0e0+/-0.1834e-31 
relative error                   0.0e0+/-0.2885159937073938122705820660731692e-27%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.2e0+/-0.5e-31 
y[1] (closed_form)               0.1345333333333333333333333333333333e-1+/-0.156e-31 
y[1] (numeric)                   0.1345333333333333333316666666666666e-1+/-0.161e-31 
absolute error                   0.16666666666667e-21+/-0.317e-31 
relative error                   0.1238850346878121902874132804757185e-17+/-0.235e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.3e0+/-0.5e-31 
y[1] (closed_form)               0.2132999999999999999999999999999999e-1+/-0.235e-31 
y[1] (numeric)                   0.2132999999999999999966666666666666e-1+/-0.275e-31 
absolute error                   0.33333333333333e-21+/-0.510e-31 
relative error                   0.1562744178777918424753867791842476e-17+/-0.239e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.4e0+/-0.5e-31 
y[1] (closed_form)               0.3002666666666666666666666666666666e-1+/-0.324e-31 
y[1] (numeric)                   0.3002666666666666666616666666666666e-1+/-0.43e-31 
absolute error                   0.5e-21+/-0.754e-31 
relative error                   0.166518650088809946714031971580817e-17+/-0.251e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.5e0+/-0.5e-31 
y[1] (closed_form)               0.3958333333333333333333333333333333e-1+/-0.424e-31 
y[1] (numeric)                   0.3958333333333333333266666666666666e-1+/-0.6e-31 
absolute error                   0.66666666666667e-21+/-0.102e-30 
relative error                   0.1684210526315797894736842105263158e-17+/-0.257e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.6e0+/-0.5e-31 
y[1] (closed_form)               0.5003999999999999999999999999999999e-1+/-0.534e-31 
y[1] (numeric)                   0.5003999999999999999916666666666666e-1+/-0.809e-31 
absolute error                   0.83333333333333e-21+/-0.134e-30 
relative error                   0.1665334399147342126298960831334932e-17+/-0.267e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.7e0+/-0.5e-31 
y[1] (closed_form)               0.6143666666666666666666666666666666e-1+/-0.654e-31 
y[1] (numeric)                   0.6143666666666666666566666666666666e-1+/-0.107e-30 
absolute error                   0.1e-20+/-0.172e-30 
relative error                   0.1627692474635125603602626010525744e-17+/-0.279e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.8e0+/-0.5e-31 
y[1] (closed_form)               0.7381333333333333333333333333333333e-1+/-0.784e-31 
y[1] (numeric)                   0.7381333333333333333216666666666666e-1+/-0.121e-30 
absolute error                   0.116666666666667e-20+/-0.199e-30 
relative error                   0.1580563583815033417630057803468208e-17+/-0.269e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.9e0+/-0.5e-31 
y[1] (closed_form)               0.8720999999999999999999999999999999e-1+/-0.926e-31 
y[1] (numeric)                   0.8720999999999999999866666666666666e-1+/-0.137e-30 
absolute error                   0.133333333333333e-20+/-0.229e-30 
relative error                   0.1528876657875622061690173145281504e-17+/-0.262e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.1e1+/-0.5e-31 
y[1] (closed_form)               0.1016666666666666666666666666666666e0+/-0.107e-30 
y[1] (numeric)                   0.1016666666666666666651666666666666e0+/-0.161e-30 
absolute error                   0.15e-20+/-0.268e-30 
relative error                   0.1475409836065573770491803278688525e-17+/-0.263e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.11e1+/-0.5e-31 
y[1] (closed_form)               0.1172233333333333333333333333333333e0+/-0.123e-30 
y[1] (numeric)                   0.1172233333333333333316666666666666e0+/-0.211e-30 
absolute error                   0.16666666666667e-20+/-0.334e-30 
relative error                   0.1421787471208832143771149088634231e-17+/-0.284e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.12e1+/-0.5e-31 
y[1] (closed_form)               0.1339199999999999999999999999999999e0+/-0.141e-30 
y[1] (numeric)                   0.1339199999999999999981666666666666e0+/-0.268e-30 
absolute error                   0.18333333333333e-20+/-0.409e-30 
relative error                   0.1368976503385080645161290322580646e-17+/-0.305e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.13e1+/-0.5e-31 
y[1] (closed_form)               0.1517966666666666666666666666666666e0+/-0.159e-30 
y[1] (numeric)                   0.1517966666666666666646666666666666e0+/-0.32e-30 
absolute error                   0.2e-20+/-0.479e-30 
relative error                   0.1317551988405542502031225982125211e-17+/-0.315e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.14e1+/-0.5e-31 
y[1] (closed_form)               0.1708933333333333333333333333333333e0+/-0.177e-30 
y[1] (numeric)                   0.1708933333333333333311666666666666e0+/-0.373e-30 
absolute error                   0.21666666666667e-20+/-0.550e-30 
relative error                   0.1267847390184930170866817507997191e-17+/-0.321e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.15e1+/-0.5e-31 
y[1] (closed_form)               0.1912499999999999999999999999999999e0+/-0.198e-30 
y[1] (numeric)                   0.1912499999999999999976666666666666e0+/-0.457e-30 
absolute error                   0.23333333333333e-20+/-0.655e-30 
relative error                   0.1220043572984732026143790849673203e-17+/-0.342e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.16e1+/-0.5e-31 
y[1] (closed_form)               0.2129066666666666666666666666666666e0+/-0.219e-30 
y[1] (numeric)                   0.2129066666666666666641666666666666e0+/-0.54e-30 
absolute error                   0.25e-20+/-0.759e-30 
relative error                   0.1174223446893787575150300601202405e-17+/-0.356e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.17e1+/-0.5e-31 
y[1] (closed_form)               0.2359033333333333333333333333333333e0+/-0.242e-30 
y[1] (numeric)                   0.2359033333333333333306666666666666e0+/-0.6e-30 
absolute error                   0.26666666666667e-20+/-0.842e-30 
relative error                   0.1130406522445648641392660835653021e-17+/-0.356e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.18e1+/-0.5e-31 
y[1] (closed_form)               0.2602799999999999999999999999999999e0+/-0.265e-30 
y[1] (numeric)                   0.2602799999999999999971666666666666e0+/-0.692e-30 
absolute error                   0.28333333333333e-20+/-0.957e-30 
relative error                   0.1088571282208890425695404948516982e-17+/-0.367e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.19e1+/-0.5e-31 
y[1] (closed_form)               0.2860766666666666666666666666666666e0+/-0.290e-30 
y[1] (numeric)                   0.2860766666666666666636666666666666e0+/-0.777e-30 
absolute error                   0.3e-20+/-0.106e-29 
relative error                   0.1048669936963284900318096547545529e-17+/-0.37e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.2e1+/-0.5e-31 
y[1] (closed_form)               0.3133333333333333333333333333333333e0+/-0.314e-30 
y[1] (numeric)                   0.3133333333333333333301666666666666e0+/-0.911e-30 
absolute error                   0.31666666666667e-20+/-0.122e-29 
relative error                   0.1010638297872351063829787234042553e-17+/-0.389e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.21e1+/-0.5e-31 
y[1] (closed_form)               0.3420899999999999999999999999999999e0+/-0.340e-30 
y[1] (numeric)                   0.3420899999999999999966666666666666e0+/-0.103e-29 
absolute error                   0.33333333333333e-20+/-0.137e-29 
relative error                   0.9744024476989388757344558449530828e-18+/-0.4e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.22e1+/-0.5e-31 
y[1] (closed_form)               0.3723866666666666666666666666666666e0+/-0.368e-30 
y[1] (numeric)                   0.3723866666666666666631666666666666e0+/-0.107e-29 
absolute error                   0.35e-20+/-0.143e-29 
relative error                   0.9398832754484585914282645279100578e-18+/-0.384e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.23e1+/-0.5e-31 
y[1] (closed_form)               0.4042633333333333333333333333333332e0+/-0.396e-30 
y[1] (numeric)                   0.4042633333333333333296666666666666e0+/-0.112e-29 
absolute error                   0.36666666666666e-20+/-0.151e-29 
relative error                   0.906999562991103158832114380890344e-18+/-0.373e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.24e1+/-0.5e-31 
y[1] (closed_form)               0.4377599999999999999999999999999999e0+/-0.426e-30 
y[1] (numeric)                   0.4377599999999999999961666666666666e0+/-0.118e-29 
absolute error                   0.38333333333333e-20+/-0.16e-29 
relative error                   0.8756700779727019371345029239766083e-18+/-0.365e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.25e1+/-0.5e-31 
y[1] (closed_form)               0.4729166666666666666666666666666666e0+/-0.457e-30 
y[1] (numeric)                   0.4729166666666666666626666666666666e0+/-0.124e-29 
absolute error                   0.4e-20+/-0.169e-29 
relative error                   0.8458149779735682819383259911894274e-18+/-0.357e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.26e1+/-0.5e-31 
y[1] (closed_form)               0.5097733333333333333333333333333332e0+/-0.489e-30 
y[1] (numeric)                   0.5097733333333333333291666666666666e0+/-0.13e-29 
absolute error                   0.41666666666666e-20+/-0.178e-29 
relative error                   0.8173567337117019328852038814636572e-18+/-0.349e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.27e1+/-0.5e-31 
y[1] (closed_form)               0.5483699999999999999999999999999999e0+/-0.521e-30 
y[1] (numeric)                   0.5483699999999999999956666666666666e0+/-0.136e-29 
absolute error                   0.43333333333333e-20+/-0.188e-29 
relative error                   0.7902207147242372850447690427995697e-18+/-0.342e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.28e1+/-0.5e-31 
y[1] (closed_form)               0.5887466666666666666666666666666665e0+/-0.555e-30 
y[1] (numeric)                   0.5887466666666666666621666666666666e0+/-0.142e-29 
absolute error                   0.44999999999999e-20+/-0.197e-29 
relative error                   0.764335537639261934957876619258991e-18+/-0.334e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.29e1+/-0.5e-31 
y[1] (closed_form)               0.6309433333333333333333333333333332e0+/-0.591e-30 
y[1] (numeric)                   0.6309433333333333333286666666666666e0+/-0.15e-29 
absolute error                   0.46666666666666e-20+/-0.209e-29 
relative error                   0.7396332475710866797335207070893848e-18+/-0.331e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.3e1+/-0.5e-31 
y[1] (closed_form)               0.6749999999999999999999999999999999e0+/-0.627e-30 
y[1] (numeric)                   0.6749999999999999999951666666666666e0+/-0.158e-29 
absolute error                   0.48333333333333e-20+/-0.22e-29 
relative error                   0.7160493827160444444444444444444445e-18+/-0.325e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.31e1+/-0.5e-31 
y[1] (closed_form)               0.7209566666666666666666666666666665e0+/-0.664e-30 
y[1] (numeric)                   0.7209566666666666666616666666666666e0+/-0.166e-29 
absolute error                   0.49999999999999e-20+/-0.232e-29 
relative error                   0.6935229579216365292412396491698531e-18+/-0.321e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.32e1+/-0.5e-31 
y[1] (closed_form)               0.7688533333333333333333333333333332e0+/-0.702e-30 
y[1] (numeric)                   0.7688533333333333333281666666666666e0+/-0.174e-29 
absolute error                   0.51666666666666e-20+/-0.244e-29 
relative error                   0.6719963928967726831298557158712542e-18+/-0.317e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.33e1+/-0.5e-31 
y[1] (closed_form)               0.8187299999999999999999999999999998e0+/-0.741e-30 
y[1] (numeric)                   0.8187299999999999999946666666666666e0+/-0.183e-29 
absolute error                   0.53333333333332e-20+/-0.257e-29 
relative error                   0.6514154035314694710099788697128481e-18+/-0.313e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.34e1+/-0.5e-31 
y[1] (closed_form)               0.8706266666666666666666666666666665e0+/-0.782e-30 
y[1] (numeric)                   0.8706266666666666666611666666666666e0+/-0.195e-29 
absolute error                   0.54999999999999e-20+/-0.273e-29 
relative error                   0.6317288696264644623795886487893778e-18+/-0.313e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.35e1+/-0.5e-31 
y[1] (closed_form)               0.9245833333333333333333333333333332e0+/-0.824e-30 
y[1] (numeric)                   0.9245833333333333333276666666666666e0+/-0.207e-29 
absolute error                   0.56666666666666e-20+/-0.289e-29 
relative error                   0.6128886885984605678233438485804417e-18+/-0.312e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.36e1+/-0.5e-31 
y[1] (closed_form)               0.9806399999999999999999999999999998e0+/-0.865e-30 
y[1] (numeric)                   0.9806399999999999999941666666666666e0+/-0.219e-29 
absolute error                   0.58333333333332e-20+/-0.305e-29 
relative error                   0.5948496220155408712677435144395498e-18+/-0.311e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.37e1+/-0.5e-31 
y[1] (closed_form)               0.1038836666666666666666666666666666e1+/-0.909e-30 
y[1] (numeric)                   0.1038836666666666666660666666666666e1+/-0.253e-29 
absolute error                   0.6e-20+/-0.343e-29 
relative error                   0.5775691398391149073803709919108236e-18+/-0.33e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.38e1+/-0.5e-31 
y[1] (closed_form)               0.1099213333333333333333333333333333e1+/-0.954e-30 
y[1] (numeric)                   0.1099213333333333333327166666666666e1+/-0.282e-29 
absolute error                   0.6166666666667e-20+/-0.377e-29 
relative error                   0.5610072658022403900971603934935288e-18+/-0.342e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.39e1+/-0.5e-31 
y[1] (closed_form)               0.1161809999999999999999999999999999e1+/-0.1e-29 
y[1] (numeric)                   0.1161809999999999999993666666666666e1+/-0.326e-29 
absolute error                   0.6333333333333e-20+/-0.426e-29 
relative error                   0.5451264262945748444237870219743336e-18+/-0.366e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.4e1+/-0.5e-31 
y[1] (closed_form)               0.1226666666666666666666666666666666e1+/-0.104e-29 
y[1] (numeric)                   0.1226666666666666666660166666666666e1+/-0.372e-29 
absolute error                   0.65e-20+/-0.476e-29 
relative error                   0.529891304347826086956521739130435e-18+/-0.388e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.41e1+/-0.5e-31 
y[1] (closed_form)               0.1293823333333333333333333333333333e1+/-0.109e-29 
y[1] (numeric)                   0.1293823333333333333326666666666666e1+/-0.424e-29 
absolute error                   0.6666666666667e-20+/-0.533e-29 
relative error                   0.5152686997452253914109860439472675e-18+/-0.411e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.42e1+/-0.5e-31 
y[1] (closed_form)               0.1363319999999999999999999999999999e1+/-0.114e-29 
y[1] (numeric)                   0.1363319999999999999993166666666666e1+/-0.464e-29 
absolute error                   0.6833333333333e-20+/-0.578e-29 
relative error                   0.5012273958669277939148549130064845e-18+/-0.423e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.43e1+/-0.5e-31 
y[1] (closed_form)               0.1435196666666666666666666666666666e1+/-0.119e-29 
y[1] (numeric)                   0.1435196666666666666659666666666666e1+/-0.506e-29 
absolute error                   0.7e-20+/-0.625e-29 
relative error                   0.4877380335796023309232880975661874e-18+/-0.435e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.44e1+/-0.5e-31 
y[1] (closed_form)               0.1509493333333333333333333333333333e1+/-0.124e-29 
y[1] (numeric)                   0.1509493333333333333326166666666666e1+/-0.56e-29 
absolute error                   0.7166666666667e-20+/-0.684e-29 
relative error                   0.4747729922623264318270148040843727e-18+/-0.453e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.45e1+/-0.5e-31 
y[1] (closed_form)               0.1586249999999999999999999999999999e1+/-0.129e-29 
y[1] (numeric)                   0.1586249999999999999992666666666666e1+/-0.58e-29 
absolute error                   0.7333333333333e-20+/-0.709e-29 
relative error                   0.4623062779090937746256895193065408e-18+/-0.446e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.46e1+/-0.5e-31 
y[1] (closed_form)               0.1665506666666666666666666666666666e1+/-0.135e-29 
y[1] (numeric)                   0.1665506666666666666659166666666666e1+/-0.634e-29 
absolute error                   0.75e-20+/-0.769e-29 
relative error                   0.4503134181390247612338187378415378e-18+/-0.461e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.47e1+/-0.5e-31 
y[1] (closed_form)               0.1747303333333333333333333333333333e1+/-0.139e-29 
y[1] (numeric)                   0.1747303333333333333325666666666666e1+/-0.704e-29 
absolute error                   0.7666666666667e-20+/-0.843e-29 
relative error                   0.4387713638731111369710658901049427e-18+/-0.482e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.48e1+/-0.5e-31 
y[1] (closed_form)               0.1831679999999999999999999999999999e1+/-0.145e-29 
y[1] (numeric)                   0.1831679999999999999992166666666666e1+/-0.776e-29 
absolute error                   0.7833333333333e-20+/-0.921e-29 
relative error                   0.427658397391083595387840670859539e-18+/-0.502e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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]                             0.49e1+/-0.5e-31 
y[1] (closed_form)               0.1918676666666666666666666666666666e1+/-0.151e-29 
y[1] (numeric)                   0.1918676666666666666658666666666666e1+/-0.854e-29 
absolute error                   0.8e-20+/-0.1e-28 
relative error                   0.4169540464521553918238786107786097e-18+/-0.521e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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  )   =   ( 0.1  *  x  +  0.2 )   *   ( 0.2  *  x  +  0.3 )  ; 
Iterations                      98 
Total Elapsed Time              41 Seconds
Elapsed Time(since restart)     41 Seconds
Time to Timeout                 19 Minutes 19 Seconds
Percent Done                    0.1010204081632653061224489795918367e3+/-0.914e-29%