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/nonlinear2postode.ode#################
diff  (  y  ,  x  ,  1  )   =  y  *  y ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=20 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
x_start=c(0.0) 
x_end=c(0.2) 
$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=1 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][1]=c(0.5) 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][2]=c(0.0) 
#  ELIMINATED in preodein.rb
$array_given_ord_poles[1][1]=c(0.0) 
#  ELIMINATED in preodein.rb
$array_given_ord_poles[1][2]=c(0.0) 
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  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(2.0)/(c(1.0) - c(2.0)*c(x))) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.0e0+/-0.50e-31 
y[1] (closed_form)               0.2e1+/-0.15e-30 
y[1] (numeric)                   0.2e1+/-0.35e-30 
absolute error                   0.0e0+/-0.50e-30 
relative error                   0.0e0+/-0.2500000000000000000000000000000375e-28%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.500000000000000000000000000000312e0+/-0.5e-30 
Order of pole (given)                             0.0e0+/-0.50e-31 
Radius of convergence (ratio test) for eq  1      0.4999999999999999300449272949272976e0+/-0.54e-29 
Order of pole (ratio test)                        0.9999999999999919999999999999999167e0+/-0.5e-31 
Radius of convergence (three term test) for eq 1  0.5000000000000021953306415806511096e0+/-0.16e-27 
Order of pole (three term test)                   0.100000000000005850000000000025395e1+/-0.578e-26 
NO COMPLEX POLE (six term test) for Equation 1
SETTING H FOR POLE
SETTING H FOR POLE
 
TOP MAIN SOLVE Loop
x[1]                             0.1355000000000003556568132125965441e0+/-0.198e-25 
y[1] (closed_form)               0.2743484224965709124112089301328961e1+/-0.149e-24 
y[1] (numeric)                   0.2743484224965709123146909202062172e1+/-0.148e-24 
absolute error                   0.965180099266789e-18+/-0.297e-24 
relative error                   0.351808146182744247227121718556234e-16+/-0.108e-22%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.4050000000000015807232358586253256e-1+/-0.198e-25 
SETTING H FOR POLE
Radius of convergence (given) for eq  1           0.364499999999999644343186787403917e0+/-0.393e-24 
Order of pole (given)                             0.0e0+/-0.50e-31 
Radius of convergence (ratio test) for eq  1      0.3644999999999995934741728546891158e0+/-0.566e-23 
Order of pole (ratio test)                        0.999999999999922395132779839221742e0+/-0.5e-31 
Radius of convergence (three term test) for eq 1  0.3645000000000012448674585689801679e0+/-0.168e-21 
Order of pole (three term test)                   0.100000000000005850000000000025383e1+/-0.828e-20 
NO COMPLEX POLE (six term test) for Equation 1
SETTING H FOR POLE
Finished!
diff  (  y  ,  x  ,  1  )   =  y  *  y ; 
Iterations                      5 
Total Elapsed Time              9 Seconds
Elapsed Time(since restart)     9 Seconds
Time to Timeout                 19 Minutes 51 Seconds
Percent Done                    0.1187800000000003361093399726150681e3+/-0.142e-16%