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/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=(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(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-30 
y[1] (closed_form)               -0.198997498610763839281121100923226e2+/-0.493e-28 
y[1] (numeric)                   -0.198997498610763839281121100923226e2+/-0.511e-28 
absolute error                   0.0e0+/-0.1004e-27 
relative error                   0.0e0+/-0.5045289548909401789680683057031565e-27%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
SETTING H FOR POLE
Radius of convergence (given) for eq  1           0.1000000000000000000000000000001722e0+/-0.223e-29 
Order of pole (given)                             0.5e0+/-0.50e-31 
Radius of convergence (ratio test) for eq  1      0.1114338328878997723530664462819e0+/-0.504e-27 
Order of pole (ratio test)                        0.9999999999999728521112889094602485e0+/-0.5e-31 
Radius of convergence (three term test) for eq 1  0.996766451942924141692344241566037e-1+/-0.2e-25 
Order of pole (three term test)                   0.1637424832938150180327818351643668e1+/-0.574e-23 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.18003233548057075858307655758433e1+/-0.20e-25 
y[1] (closed_form)               -0.197993254794571046461248672106749e2+/-0.364e-24 
y[1] (numeric)                   -0.197993506688569563232438813510075e2+/-0.206e-25 
absolute error                   0.251893998516771190141403326e-4+/-0.384e-24 
relative error                   0.1272235252550018164648399610373748e-3+/-0.193e-23%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.996766451942924141692344241566037e-2+/-0.2e-26 
Radius of convergence (given) for eq  1           0.1996766451942924141692344241567207e0+/-0.398e-25 
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  )   =  cosh ( sqrt ( 0.1  *  x  +  0.2 )  )  ; 
Iterations                      11 
Total Elapsed Time              40 Seconds
Elapsed Time(since restart)     37 Seconds
Time to Timeout                 19 Minutes 20 Seconds
Percent Done                    0.11961197423315089700308130898804e3+/-0.24e-22%