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/tanh_sqrtpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  tanh ( sqrt ( 2.0 * x  +  3.0 )  )  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.1) 
x_end=c(5.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_max_h=0.1 
#  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) 
#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(0.0)) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1e0+/-0.50e-33 
y[1] (closed_form)               0.0e0+/-0.50e-33 
y[1] (numeric)                   0.0e0+/-0.5000000000000000000000000000000005e-33 
absolute error                   0.0e0+/-0.50e-33 
relative error                   -0.1e1+/-0.50e-33%
Desired digits                   8 
Estimated correct digits         -16 
Correct digits                   -16 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.160000000000000000000000000000000931e1+/-0.553e-30 
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]                             0.11e0+/-0.550e-32 
y[1] (closed_form)               0.0e0+/-0.50e-33 
y[1] (numeric)                   0.945904439166639696459259413229024419e-2+/-0.113e-31 
absolute error                   0.945904439166639696459259413229024419e-2+/-0.113e-31 
relative error                   -0.1e1+/-0.50e-33%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.161000000000000000000000000000000821e1+/-0.104e-29 
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]                             0.12e0+/-0.105e-31 
y[1] (closed_form)               0.0e0+/-0.50e-33 
y[1] (numeric)                   0.189239250703096972814514832823126207e-1+/-0.328e-31 
absolute error                   0.189239250703096972814514832823126207e-1+/-0.328e-31 
relative error                   -0.1e1+/-0.50e-33%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.16200000000000000000000000000000091e1+/-0.154e-29 
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]                             0.13e0+/-0.155e-31 
y[1] (closed_form)               0.0e0+/-0.50e-33 
y[1] (numeric)                   0.283945630182301957672194671551062474e-1+/-0.652e-31 
absolute error                   0.283945630182301957672194671551062474e-1+/-0.652e-31 
relative error                   -0.1e1+/-0.50e-33%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.163000000000000000000000000000000836e1+/-0.203e-29 
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]                             0.14e0+/-0.205e-31 
y[1] (closed_form)               0.0e0+/-0.50e-33 
y[1] (numeric)                   0.37870880543987960601016341354510417e-1+/-0.107e-30 
absolute error                   0.37870880543987960601016341354510417e-1+/-0.107e-30 
relative error                   -0.1e1+/-0.50e-33%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.164000000000000000000000000000000833e1+/-0.254e-29 
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]                             0.15e0+/-0.255e-31 
y[1] (closed_form)               0.0e0+/-0.50e-33 
y[1] (numeric)                   0.473528012552582050726239895683946985e-1+/-0.155e-30 
absolute error                   0.473528012552582050726239895683946985e-1+/-0.155e-30 
relative error                   -0.1e1+/-0.50e-33%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.165000000000000000000000000000000826e1+/-0.301e-29 
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]                             0.16e0+/-0.305e-31 
y[1] (closed_form)               0.0e0+/-0.50e-33 
y[1] (numeric)                   0.568402500323523815736860168784736327e-1+/-0.213e-30 
absolute error                   0.568402500323523815736860168784736327e-1+/-0.213e-30 
relative error                   -0.1e1+/-0.50e-33%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.166000000000000000000000000000000888e1+/-0.351e-29 
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]                             0.17e0+/-0.355e-31 
y[1] (closed_form)               0.0e0+/-0.50e-33 
y[1] (numeric)                   0.663331530023857544101408870951585885e-1+/-0.282e-30 
absolute error                   0.663331530023857544101408870951585885e-1+/-0.282e-30 
relative error                   -0.1e1+/-0.50e-33%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.167000000000000000000000000000000776e1+/-0.404e-29 
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]                             0.18e0+/-0.405e-31 
y[1] (closed_form)               0.0e0+/-0.50e-33 
y[1] (numeric)                   0.758314375140728539771895374132893949e-1+/-0.362e-30 
absolute error                   0.758314375140728539771895374132893949e-1+/-0.362e-30 
relative error                   -0.1e1+/-0.50e-33%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.168000000000000000000000000000000869e1+/-0.451e-29 
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]                             0.19e0+/-0.455e-31 
y[1] (closed_form)               0.0e0+/-0.50e-33 
y[1] (numeric)                   0.85335032113132835949885061257649692e-1+/-0.451e-30 
absolute error                   0.85335032113132835949885061257649692e-1+/-0.451e-30 
relative error                   -0.1e1+/-0.50e-33%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.1690000000000000000000000000000008e1+/-0.501e-29 
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  )   =  tanh ( sqrt ( 2.0 * x  +  3.0 )  )  ; 
Iterations                      98 
Total Elapsed Time              3 Minutes 2 Seconds
Elapsed Time(since restart)     3 Minutes 2 Seconds
Expected Time Remaining         2 Hours 27 Minutes 6 Seconds
Optimized Time Remaining        2 Hours 27 Minutes 6 Seconds
Expected Total Time             2 Hours 30 Minutes 8 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.202040816326530612244897959183673469e1+/-0.103e-29%