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/cos_sqrt_linpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  cos ( 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(-1.4) 
x_end=c(-1.3) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_max_h=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
#  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=(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(cos(sqrt(c(2.0)*c(x)+c(3.0)))+sqrt(c(2.0)*c(x)+c(3.0))*sin(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]                             -0.14e1+/-0.50e-32 
y[1] (closed_form)               0.109505527856996075463473237744636048e1+/-0.161e-30 
y[1] (numeric)                   0.109505527856996075463473237744636048e1+/-0.161e-30 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.322e-30 
relative error                   0.0e0+/-0.294049082545405130692197055668029399e-28%
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]                             -0.139e1+/-0.100e-31 
y[1] (closed_form)               0.11040235390255825501569651107688989e1+/-0.301e-30 
y[1] (numeric)                   0.110402837380531612473881706549191043e1+/-0.161e-30 
absolute error                   0.483477973357458185195472301153e-5+/-0.462e-30 
relative error                   0.437923609657977575500297262258467458e-3+/-0.418e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
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]                             -0.138e1+/-0.150e-31 
y[1] (closed_form)               0.111289542597047540287614062000599325e1+/-0.442e-30 
y[1] (numeric)                   0.111290507853357548951937094201450376e1+/-0.161e-30 
absolute error                   0.965256310008664323032200851051e-5+/-0.603e-30 
relative error                   0.867337835598465406217354444001981517e-3+/-0.541e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
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]                             -0.137e1+/-0.200e-31 
y[1] (closed_form)               0.112167126513413217222428873953281605e1+/-0.583e-30 
y[1] (numeric)                   0.112168571862824106472509993881935972e1+/-0.161e-30 
absolute error                   0.1445349410889250081119928654367e-4+/-0.744e-30 
relative error                   0.128856774334538354305337631931456658e-2+/-0.663e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
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]                             -0.136e1+/-0.250e-31 
y[1] (closed_form)               0.113035138159073153388538512459131868e1+/-0.722e-30 
y[1] (numeric)                   0.113037061928266444452186746790917614e1+/-0.161e-30 
absolute error                   0.1923769193291063648234331785746e-4+/-0.883e-30 
relative error                   0.170192138889038524173994835149853358e-2+/-0.781e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
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]                             -0.135e1+/-0.300e-31 
y[1] (closed_form)               0.113893609976007720834894309861192918e1+/-0.860e-30 
y[1] (numeric)                   0.113896010501784609545484615659110356e1+/-0.161e-30 
absolute error                   0.2400525776888710590305797917438e-4+/-0.102e-29 
relative error                   0.210769135985275537872623700554438923e-2+/-0.895e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
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]                             -0.134e1+/-0.350e-31 
y[1] (closed_form)               0.114742574340853614370602663751377065e1+/-0.1e-29 
y[1] (numeric)                   0.114745449968801349093554744766249789e1+/-0.161e-30 
absolute error                   0.2875627947734722952081014872724e-4+/-0.116e-29 
relative error                   0.250615603166824507211502510211659493e-2+/-0.101e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
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]                             -0.133e1+/-0.400e-31 
y[1] (closed_form)               0.115582063564997565363974042200220853e1+/-0.114e-29 
y[1] (numeric)                   0.11558541264847880339169391633251007e1+/-0.161e-30 
absolute error                   0.3349083481238027719874132289217e-4+/-0.13e-29 
relative error                   0.289758062621426624588396123896245838e-2+/-0.112e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
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
 
TOP MAIN SOLVE Loop
x[1]                             -0.132e1+/-0.450e-31 
y[1] (closed_form)               0.116412109894669951156151976635057197e1+/-0.126e-29 
y[1] (numeric)                   0.116415930794042572561345913598448351e1+/-0.161e-30 
absolute error                   0.3820899372621405193936963391154e-4+/-0.142e-29 
relative error                   0.328221812668679156312671812136011222e-2+/-0.121e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.180000000000000000000000000000000948e0+/-0.1e-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]                             -0.131e1+/-0.500e-31 
y[1] (closed_form)               0.117232745511038300184381059876299886e1+/-0.139e-29 
y[1] (numeric)                   0.117237036593043246878891549579220042e1+/-0.161e-30 
absolute error                   0.4291082004946694510489702920156e-4+/-0.155e-29 
relative error                   0.36603100833654522710198369240236897e-2+/-0.132e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.190000000000000000000000000000000898e0+/-0.11e-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
Finished!
diff  (  y  ,  x  ,  1  )   =  cos ( sqrt ( 2.0 * x  +  3.0 )  )  ; 
Iterations                      100 
Total Elapsed Time              2 Minutes 52 Seconds
Elapsed Time(since restart)     2 Minutes 50 Seconds
Time to Timeout                 8 Seconds
Percent Done                    0.101e3+/-0.706e-28%