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/add_c_linpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  0.3  +   (  0.1  *  x  +  0.2  )   ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.1) 
x_end=c(1.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_display_interval=c(0.1) 
$glob_look_poles=true 
$glob_min_h=c(0.1) 
#  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 
#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(0.05) * c(x) * c(x) + c(0.5) * 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)               0.505e-1+/-0.310e-31 
y[1] (numeric)                   0.505e-1+/-0.36e-31 
absolute error                   0.0e0+/-0.670e-31 
relative error                   0.0e0+/-0.1326732673267326732673267326734302e-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)               0.102e0+/-0.38e-31 
y[1] (numeric)                   0.102e0+/-0.852e-31 
absolute error                   0.0e0+/-0.1232e-30 
relative error                   0.0e0+/-0.1207843137254901960784313725491096e-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)               0.1545e0+/-0.46e-31 
y[1] (numeric)                   0.1545e0+/-0.152e-30 
absolute error                   0.0e0+/-0.198e-30 
relative error                   0.0e0+/-0.1281553398058252427184466019418238e-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)               0.208e0+/-0.550e-31 
y[1] (numeric)                   0.208e0+/-0.242e-30 
absolute error                   0.0e0+/-0.2970e-30 
relative error                   0.0e0+/-0.142788461538461538461538461538537e-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)               0.2625e0+/-0.650e-31 
y[1] (numeric)                   0.2625e0+/-0.352e-30 
absolute error                   0.0e0+/-0.4170e-30 
relative error                   0.0e0+/-0.1588571428571428571428571428572215e-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)               0.318e0+/-0.760e-31 
y[1] (numeric)                   0.318e0+/-0.484e-30 
absolute error                   0.0e0+/-0.5600e-30 
relative error                   0.0e0+/-0.1761006289308176100628930817610904e-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)               0.3745e0+/-0.880e-31 
y[1] (numeric)                   0.3745e0+/-0.639e-30 
absolute error                   0.0e0+/-0.7270e-30 
relative error                   0.0e0+/-0.1941255006675567423230974632844704e-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)               0.432e0+/-0.101e-30 
y[1] (numeric)                   0.432e0+/-0.819e-30 
absolute error                   0.0e0+/-0.920e-30 
relative error                   0.0e0+/-0.2129629629629629629629629629630625e-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)               0.4905e0+/-0.115e-30 
y[1] (numeric)                   0.4905e0+/-0.102e-29 
absolute error                   0.0e0+/-0.1135e-29 
relative error                   0.0e0+/-0.231396534148827726809378185525083e-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  )   =  0.3  +   (  0.1  *  x  +  0.2  )   ; 
Iterations                      18 
Total Elapsed Time              12 Seconds
Elapsed Time(since restart)     12 Seconds
Time to Timeout                 19 Minutes 48 Seconds
Percent Done                    0.1055555555555555555555555555555555e3+/-0.28e-28%