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/sqrt_sqrtpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  sqrt ( sqrt ( 0.1  *  x  +  0.2 )  )  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=40 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.1) 
x_end=c(0.5) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$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
$glob_type_given_pole=1 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][1]=c(-2.0) 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][2]=c(0.0) 
#  ELIMINATED in preodein.rb
$array_given_ord_poles[1][1]=c(0.5) 
#  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=(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(0.8) * (c(x) + c(2.0)) * sqrt(sqrt(c(0.1) * c(x) + c(0.2)))) 
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)               0.1137271367855683019111487491957184e1+/-0.835e-29 
y[1] (numeric)                   0.1137271367855683019111487491957184e1+/-0.84e-29 
absolute error                   0.0e0+/-0.1675e-28 
relative error                   0.0e0+/-0.1472823503117114825097315474273738e-26%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.209999999999999999999999999999996e1+/-0.554e-28 
Order of pole (given)                             0.5e0+/-0.50e-31 
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)               0.120536433735319444236116605375305e1+/-0.896e-29 
y[1] (numeric)                   0.1205364337353194442361283558715041e1+/-0.899e-29 
absolute error                   0.117504961991e-21+/-0.179e-28 
relative error                   0.9748501623087993688813205605040399e-20+/-0.148e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.2199999999999999999999999999999949e1+/-0.554e-28 
Order of pole (given)                             0.5e0+/-0.50e-31 
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)               0.1274235739780027645416240166918823e1+/-0.983e-29 
y[1] (numeric)                   0.1274235739780027645416466088072426e1+/-0.967e-29 
absolute error                   0.225921153603e-21+/-0.195e-28 
relative error                   0.1772993383798832647164375566509566e-19+/-0.153e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.2299999999999999999999999999999943e1+/-0.554e-28 
Order of pole (given)                             0.5e0+/-0.50e-31 
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)               0.1343860036446943959883905164110318e1+/-0.106e-28 
y[1] (numeric)                   0.1343860036446943959884231470635185e1+/-0.102e-28 
absolute error                   0.326306524867e-21+/-0.208e-28 
relative error                   0.2428128793305944029138249556411736e-19+/-0.154e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.2399999999999999999999999999999937e1+/-0.554e-28 
Order of pole (given)                             0.5e0+/-0.50e-31 
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  )   =  sqrt ( sqrt ( 0.1  *  x  +  0.2 )  )  ; 
Iterations                      8 
Total Elapsed Time              22 Seconds
Elapsed Time(since restart)     21 Seconds
Time to Timeout                 19 Minutes 38 Seconds
Percent Done                    0.1125e3+/-0.586e-28%