Initializing...
Initialized
Initializing(2)...
PI = 0.314159265358979323846264338327950271e1+/-0.313e-33
E = 0.271828182845904523536028747135266232e1+/-0.256e-32
LOG_E_10 = 0.230258509299404568401799145468436324e1+/-0.5e-32
Initialized(2)
##############ECHO OF PROBLEM#################
##############temp/cosh_sqrtpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  cosh ( sqrt ( 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(-1.9) 
x_end=c(-1.8) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_max_h=0.01 
$glob_upper_ratio_limit=c(1.001) 
$glob_lower_ratio_limit=c(0.999) 
#  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(-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=(3.0) 
$glob_subiter_method=3 
$glob_max_iter=100000 
$glob_upper_ratio_limit=c(1.000001) 
$glob_lower_ratio_limit=c(0.999999) 
$glob_look_poles=true 
$glob_h=c(0.001) 
$glob_display_interval=c(0.01) 
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
x = c(x)

return(c(20.0) * sqrt(c(0.1) * c(x) + c(0.2)) * sinh( sqrt(c(0.1) * c(x) + c(0.2))) - c(20.0) * cosh( 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]                             -0.19e1+/-0.50e-32 
y[1] (closed_form)               -0.19899749861076383928112110092323018e2+/-0.493e-30 
y[1] (numeric)                   -0.19899749861076383928112110092323018e2+/-0.511e-30 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.1004e-29 
relative error                   0.0e0+/-0.504528954890940178968068305700671055e-29%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   34 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.100000000000000000000000000000001802e0+/-0.205e-31 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             -0.189e1+/-0.100e-31 
y[1] (closed_form)               -0.19889697315088044093878744329271507e2+/-0.587e-30 
y[1] (numeric)                   -0.19889697565923368266471551679176055e2+/-0.862e-30 
absolute error                   0.250835324172592807349904548e-6+/-0.144e-29 
relative error                   0.126113193277362076923631916269101812e-5+/-0.723e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.110000000000000000000000000000001654e0+/-0.305e-31 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             -0.188e1+/-0.150e-31 
y[1] (closed_form)               -0.19879639759927987655771321700699023e2+/-0.681e-30 
y[1] (numeric)                   -0.19879640261605691951582878998685481e2+/-0.1e-29 
absolute error                   0.501677704295811557297986458e-6+/-0.168e-29 
relative error                   0.252357542870097180836728072542253747e-5+/-0.845e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.120000000000000000000000000000001485e0+/-0.407e-31 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             -0.187e1+/-0.200e-31 
y[1] (closed_form)               -0.1986957719476192255269362852578908e2+/-0.767e-30 
y[1] (numeric)                   -0.19869577947294627340653531743376684e2+/-0.1e-29 
absolute error                   0.752532704787959903217587604e-6+/-0.176e-29 
relative error                   0.378736143910674067391537561539972948e-5+/-0.885e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.130000000000000000000000000000001311e0+/-0.505e-31 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             -0.186e1+/-0.250e-31 
y[1] (closed_form)               -0.19859509618755473318763677363799115e2+/-0.847e-30 
y[1] (numeric)                   -0.19859510622160124077547430679296547e2+/-0.1e-29 
absolute error                   0.1003404650758783753315497432e-5+/-0.184e-29 
relative error                   0.505251473989650126782388989366864979e-5+/-0.926e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.140000000000000000000000000000001294e0+/-0.603e-31 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             -0.185e1+/-0.300e-31 
y[1] (closed_form)               -0.19849437031074181077357191286157125e2+/-0.927e-30 
y[1] (numeric)                   -0.19849438285371152052147137986691901e2+/-0.1e-29 
absolute error                   0.1254296970974789946700534776e-5+/-0.192e-29 
relative error                   0.63190556438008551757256278719311544e-5+/-0.967e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.150000000000000000000000000000001154e0+/-0.704e-31 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             -0.184e1+/-0.350e-31 
y[1] (closed_form)               -0.19839359430883503535150757265272164e2+/-0.1e-29 
y[1] (numeric)                   -0.19839360936095933358721930468296424e2+/-0.1e-29 
absolute error                   0.150521242982357117320302426e-5+/-0.2e-29 
relative error                   0.758700115831582446287367378445480377e-5+/-0.1e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.16000000000000000000000000000000113e0+/-0.801e-31 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             -0.183e1+/-0.400e-31 
y[1] (closed_form)               -0.19829276817348814976164648665019644e2+/-0.107e-29 
y[1] (numeric)                   -0.19829278573502103755271641947897751e2+/-0.1e-29 
absolute error                   0.1756153288779106993282878107e-5+/-0.207e-29 
relative error                   0.885636579162903449146878280873402672e-5+/-0.104e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.170000000000000000000000000000001004e0+/-0.905e-31 
Order of pole (given)                             0.5e0+/-0.50e-33 
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!
Maximum Time Reached before Solution Completed!
diff  (  y  ,  x  ,  1  )   =  cosh ( sqrt ( 0.1  *  x  +  0.2 )  )  ; 
Iterations                      77 
Total Elapsed Time              3 Minutes 2 Seconds
Elapsed Time(since restart)     2 Minutes 59 Seconds
Expected Time Remaining         51 Seconds
Optimized Time Remaining        50 Seconds
Expected Total Time             3 Minutes 52 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.78e2+/-0.568e-28%