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/exp_sqrtpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  exp ( sqrt ( 0.1  *  x  +  0.2 )  )  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=16; 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) * exp(sqrt(c(0.1) * x + c(0.2))) * sqrt( c(0.1) * x + c(0.2)) - c(20.0) * exp(sqrt(c(0.1) * 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)               -0.138360407904192537764573283437123e2+/-0.123e-27 
y[1] (numeric)                   -0.138360407904192537764573283437123e2+/-0.123e-27 
absolute error                   0.0e0+/-0.246e-27 
relative error                   0.0e0+/-0.177796527002393878792059344175226e-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)               -0.136470752222472965147957150359127e2+/-0.126e-27 
y[1] (numeric)                   -0.136474472944084115545400397334036e2+/-0.123e-27 
absolute error                   0.3720721611150397443246974909e-3+/-0.249e-27 
relative error                   0.2726387559647155895993683912587262e-2+/-0.182e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
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)               -0.134566282612246525808839113486909e2+/-0.129e-27 
y[1] (numeric)                   -0.134573707520143068127904854899593e2+/-0.123e-27 
absolute error                   0.7424907896542319065741412684e-3+/-0.252e-27 
relative error                   0.5517658474624903992556955176626195e-2+/-0.187e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
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)               -0.132647062461931384775487519264892e2+/-0.133e-27 
y[1] (numeric)                   -0.132658175832423514694684383431303e2+/-0.123e-27 
absolute error                   0.11113370492129919196864166411e-2+/-0.256e-27 
relative error                   0.8378150473795350774287962730875664e-2+/-0.193e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
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)               -0.130713152072256880642828663386495e2+/-0.136e-27 
y[1] (numeric)                   -0.130727938945150701048991889223341e2+/-0.123e-27 
absolute error                   0.14786872893820406163225836846e-2+/-0.259e-27 
relative error                   0.1131245988593892642545646456796865e-1+/-0.198e-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)               -0.128764608836220968726696850581802e2+/-0.141e-27 
y[1] (numeric)                   -0.128783054970554066779664036500328e2+/-0.123e-27 
absolute error                   0.18446134333098052967185918526e-2+/-0.264e-27 
relative error                   0.1432546916409319240001226375028656e-1+/-0.205e-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)               -0.126801487404803276191929934170684e2+/-0.144e-27 
y[1] (numeric)                   -0.126823579238065614851278559868987e2+/-0.123e-27 
absolute error                   0.22091833262338659348625698303e-2+/-0.267e-27 
relative error                   0.1742237706708621342157385882414014e-1+/-0.21e-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)               -0.124823839839844735486743758301605e2+/-0.148e-27 
y[1] (numeric)                   -0.124849564450341441167181042489686e2+/-0.123e-27 
absolute error                   0.25724610496705680437284188081e-2+/-0.271e-27 
relative error                   0.2060873189745776890094511589405406e-1+/-0.217e-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)               -0.122831715755337968990545230895748e2+/-0.151e-27 
y[1] (numeric)                   -0.122861060827390980228810388821485e2+/-0.123e-27 
absolute error                   0.29345072053011238265157925737e-2+/-0.274e-27 
relative error                   0.2389046824963525145442441807804709e-1+/-0.223e-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)               -0.120825162448228591297472963314976e2+/-0.156e-27 
y[1] (numeric)                   -0.120858116239949028263358047136917e2+/-0.123e-27 
absolute error                   0.32953791720436965885083821941e-2+/-0.279e-27 
relative error                   0.2727394778762004384933181903347677e-1+/-0.23e-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  )   =  exp ( sqrt ( 0.1  *  x  +  0.2 )  )  ; 
Iterations                      20 
Total Elapsed Time              1 Minutes 4 Seconds
Elapsed Time(since restart)     1 Minutes 2 Seconds
Time to Timeout                 18 Minutes 56 Seconds
Percent Done                    0.105e3+/-0.257e-28%