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/sin_sqrt_linpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  sin ( sqrt ( 2.0 * x  +  3.0 )  )  ; 
!
#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 
$glob_max_h=c(0.0001) 
$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(-1.5) 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][2]=c(0.0) 
#  ELIMINATED in preodein.rb
$array_given_ord_poles[1][1]=c(0.5) 
#  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(sin(sqrt(c(2.0)*c(x)+c(3.0)))-sqrt(c(2.0)*c(x)+c(3.0))*cos(sqrt(c(2.0)*c(x)+c(3.0)))) 
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)               0.2802891969591020065097816066030565e1+/-0.11e-27 
y[1] (numeric)                   0.2802891969591020065097816066030565e1+/-0.11e-27 
absolute error                   0.0e0+/-0.22e-27 
relative error                   0.0e0+/-0.7849036009479201667626776731971292e-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           0.3500000000000000000000000000004443e1+/-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]                             0.21e1+/-0.5e-31 
y[1] (closed_form)               0.2848803743596289649235895872757115e1+/-0.119e-27 
y[1] (numeric)                   0.2849638774800133183177766968286002e1+/-0.11e-27 
absolute error                   0.835031203843533941871095528887e-3+/-0.229e-27 
relative error                   0.2931164372837429413254941020362485e-1+/-0.803e-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           0.3600000000000000000000000000004026e1+/-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]                             0.22e1+/-0.5e-31 
y[1] (closed_form)               0.289137377664734129030921453408717e1+/-0.251e-27 
y[1] (numeric)                   0.2893047669197997212802394974705833e1+/-0.11e-27 
absolute error                   0.1673892550655922493180440618663e-2+/-0.361e-27 
relative error                   0.5789263789328770421994692395044082e-1+/-0.124e-25%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3700000000000000000000000000003928e1+/-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]                             0.23e1+/-0.5e-31 
y[1] (closed_form)               0.2930589588687642502509775385854991e1+/-0.263e-27 
y[1] (numeric)                   0.2933104889779928495350854515402621e1+/-0.11e-27 
absolute error                   0.251530109228599284107912954763e-2+/-0.373e-27 
relative error                   0.8582918270082227908575740172396917e-1+/-0.127e-25%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3800000000000000000000000000003889e1+/-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]                             0.24e1+/-0.5e-31 
y[1] (closed_form)               0.2966443639457176103385369729339699e1+/-0.278e-27 
y[1] (numeric)                   0.2969801694171113540129420103320507e1+/-0.11e-27 
absolute error                   0.3358054713937436744050373980808e-2+/-0.388e-27 
relative error                   0.1132013657455471093531826583763222e0+/-0.13e-25%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3900000000000000000000000000003747e1+/-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)               0.2998933019437576951297737468831758e1+/-0.294e-27 
y[1] (numeric)                   0.3003134045866608071939642512270419e1+/-0.11e-27 
absolute error                   0.4201026429031120641905043438661e-2+/-0.404e-27 
relative error                   0.1400840366157622803921311789009955e0+/-0.134e-25%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
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]                             0.26e1+/-0.5e-31 
y[1] (closed_form)               0.3028059162193812079676282163953467e1+/-0.308e-27 
y[1] (numeric)                   0.3033102321415447792575565977731711e1+/-0.11e-27 
absolute error                   0.5043159221635712899283813778244e-2+/-0.418e-27 
relative error                   0.1665475788782796435008796420368955e0+/-0.138e-25%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
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]                             0.27e1+/-0.5e-31 
y[1] (closed_form)               0.3053827576101420111789666290720214e1+/-0.323e-27 
y[1] (numeric)                   0.3059711037470738108256923857152375e1+/-0.11e-27 
absolute error                   0.5883461369317996467257566432161e-2+/-0.433e-27 
relative error                   0.1926585972096350570971185590020772e0+/-0.141e-25%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
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]                             0.28e1+/-0.5e-31 
y[1] (closed_form)               0.3076247593690195119964165585010672e1+/-0.342e-27 
y[1] (numeric)                   0.3082968595879279498053736467941938e1+/-0.11e-27 
absolute error                   0.6721002189084378089570882931266e-2+/-0.452e-27 
relative error                   0.2184805346250436253983673658202787e0+/-0.147e-25%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
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]                             0.29e1+/-0.5e-31 
y[1] (closed_form)               0.3095332137042335591296190900056747e1+/-0.354e-27 
y[1] (numeric)                   0.3102887045199594413988861117074052e1+/-0.11e-27 
absolute error                   0.7554908157258822692670217017305e-2+/-0.464e-27 
relative error                   0.2440742325144376718992980236191267e0+/-0.15e-25%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
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
Finished!
diff  (  y  ,  x  ,  1  )   =  sin ( sqrt ( 2.0 * x  +  3.0 )  )  ; 
Iterations                      20 
Total Elapsed Time              1 Minutes 14 Seconds
Elapsed Time(since restart)     1 Minutes 13 Seconds
Time to Timeout                 18 Minutes 46 Seconds
Percent Done                    0.105e3+/-0.257e-28%