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/sinh_sqrtpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  sinh ( 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(2.0) 
x_end=c(3.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
#  ELIMINATED in preodein.rb
$glob_max_h=c(0.01) 
#  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) 
#  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(20.0) * sqrt(c(0.1) * c(x) + c(0.2)) * cosh( sqrt(c(0.1) * c(x) + c(0.2))) - c(20.0) * sinh( 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]                             0.2e1+/-0.50e-31 
y[1] (closed_form)               0.175498092198031841870105993409752e1+/-0.790e-28 
y[1] (numeric)                   0.175498092198031841870105993409752e1+/-0.79e-28 
absolute error                   0.0e0+/-0.1580e-27 
relative error                   0.0e0+/-0.9002946870881820463897497925739878e-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           0.4000000000000000000000000000003566e1+/-0.11e-26 
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]                             0.21e1+/-0.5e-31 
y[1] (closed_form)               0.182300372306917799087949092477976e1+/-0.808e-28 
y[1] (numeric)                   0.182276551809969743812825317547899e1+/-0.79e-28 
absolute error                   0.23820496948055275123774930077e-3+/-0.159e-27 
relative error                   0.1306662002201042822723106373288367e-1+/-0.872e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.4100000000000000000000000000003566e1+/-0.109e-26 
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]                             0.22e1+/-0.5e-31 
y[1] (closed_form)               0.189197304297740792317916537697313e1+/-0.827e-28 
y[1] (numeric)                   0.1891498497347697148197766167253128e1+/-0.79e-28 
absolute error                   0.474545629710774981399209720002e-3+/-0.161e-27 
relative error                   0.2508205026874907421522738196164125e-1+/-0.85e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.4200000000000000000000000000003443e1+/-0.109e-26 
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]                             0.23e1+/-0.5e-31 
y[1] (closed_form)               0.196188167442991663916319025766359e1+/-0.845e-28 
y[1] (numeric)                   0.1961172571793152247406215086057751e1+/-0.79e-28 
absolute error                   0.709102636764391756975171605839e-3+/-0.163e-27 
relative error                   0.361440063387330799678370356287843e-1+/-0.83e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.4300000000000000000000000000003059e1+/-0.109e-26 
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]                             0.24e1+/-0.5e-31 
y[1] (closed_form)               0.20327227180618682859762451758952e1+/-0.864e-28 
y[1] (numeric)                   0.2031780766209074807192891378731604e1+/-0.791e-28 
absolute error                   0.941951852793478783353797163596e-3+/-0.165e-27 
relative error                   0.4633941680405863306958612718342296e-1+/-0.811e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.4400000000000000000000000000003145e1+/-0.109e-26 
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]                             0.25e1+/-0.5e-31 
y[1] (closed_form)               0.210448956442232899006629535697752e1+/-0.892e-28 
y[1] (numeric)                   0.2103316399690559989139687209390733e1+/-0.793e-28 
absolute error                   0.1173164731769000926608147586787e-2+/-0.168e-27 
relative error                   0.5574580894113524882762329121446666e-1+/-0.798e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.4500000000000000000000000000002758e1+/-0.109e-26 
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]                             0.26e1+/-0.5e-31 
y[1] (closed_form)               0.217717587740235157831676344705784e1+/-0.911e-28 
y[1] (numeric)                   0.2175773068735960671877049400108969e1+/-0.795e-28 
absolute error                   0.1402808666390906439714046948871e-2+/-0.17e-27 
relative error                   0.6443249169491240382830814198994584e-1+/-0.78e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.4600000000000000000000000000002972e1+/-0.11e-26 
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]                             0.27e1+/-0.5e-31 
y[1] (closed_form)               0.225077557894640213119297204314872e1+/-0.930e-28 
y[1] (numeric)                   0.2249144631645571145746162497112546e1+/-0.797e-28 
absolute error                   0.1630947300830985446809546036174e-2+/-0.172e-27 
relative error                   0.7246156907364522740528420973881564e-1+/-0.764e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.4700000000000000000000000000002708e1+/-0.109e-26 
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]                             0.28e1+/-0.5e-31 
y[1] (closed_form)               0.232528283492271107703397966777453e1+/-0.949e-28 
y[1] (numeric)                   0.2323425194109386350955459325922635e1+/-0.799e-28 
absolute error                   0.1857640813324726078520341851895e-2+/-0.174e-27 
relative error                   0.7988881117709155068224092324296996e-1+/-0.748e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.4800000000000000000000000000002791e1+/-0.11e-26 
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]                             0.29e1+/-0.5e-31 
y[1] (closed_form)               0.240069204204253218510795342200898e1+/-0.972e-28 
y[1] (numeric)                   0.2398609095870449417244433009434117e1+/-0.801e-28 
absolute error                   0.2082946172082767863520412574863e-2+/-0.177e-27 
relative error                   0.8676440524668782428000719213106859e-1+/-0.737e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.4900000000000000000000000000002424e1+/-0.109e-26 
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  )   =  sinh ( sqrt ( 0.1  *  x  +  0.2 )  )  ; 
Iterations                      20 
Total Elapsed Time              1 Minutes 16 Seconds
Elapsed Time(since restart)     1 Minutes 15 Seconds
Time to Timeout                 18 Minutes 44 Seconds
Percent Done                    0.105e3+/-0.257e-28%