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/tan_sqrtpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   (  1.0  +   (  tan  (  sqrt  (  2.0  *  x  +  1.0  )   )   *  tan (  sqrt  (  2.0  *  x  +  1.0  )   )   )   )   /  sqrt  (  2.0  *  x  +  1.0  )   ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=40 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(1.4) 
x_end=c(2.1) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_max_h=c(0.0001) 
#  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
#  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
#  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(tan(sqrt(c(2.0)*c(x) + c(1.0)))) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.14e1+/-0.50e-31 
y[1] (closed_form)               -0.251416164092248833737897037718112e1+/-0.151e-27 
y[1] (numeric)                   -0.251416164092248833737897037718112e1+/-0.151e-27 
absolute error                   0.0e0+/-0.302e-27 
relative error                   0.0e0+/-0.120119563947046421075695926432364e-25%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3400000000000000000000000000004536e1+/-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]                             0.15e1+/-0.5e-31 
y[1] (closed_form)               -0.218503986326151899164330610231395e1+/-0.124e-27 
y[1] (numeric)                   -0.216473512426480910064928781983059e1+/-0.187e-27 
absolute error                   0.2030473899670989099401828248336e-1+/-0.311e-27 
relative error                   0.9292617191158171157108700352991253e0+/-0.142e-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           0.3500000000000000000000000000004443e1+/-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]                             0.16e1+/-0.5e-31 
y[1] (closed_form)               -0.192743272197754203796411314084346e1+/-0.105e-27 
y[1] (numeric)                   -0.189362286841667745477558304330757e1+/-0.211e-27 
absolute error                   0.3380985356086458318853009753589e-1+/-0.316e-27 
relative error                   0.1754139232739378962949623737802663e1+/-0.164e-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           0.3600000000000000000000000000004026e1+/-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]                             0.17e1+/-0.5e-31 
y[1] (closed_form)               -0.171923193844156908621792768157555e1+/-0.917e-28 
y[1] (numeric)                   -0.167600370299276203171078123938284e1+/-0.229e-27 
absolute error                   0.4322823544880705450714644219271e-1+/-0.32e-27 
relative error                   0.2514392298225457664336290251242782e1+/-0.186e-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           0.3700000000000000000000000000003928e1+/-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]                             0.18e1+/-0.5e-31 
y[1] (closed_form)               -0.154660754976401709701305407668583e1+/-0.806e-28 
y[1] (numeric)                   -0.149656180456512953957565756746881e1+/-0.242e-27 
absolute error                   0.5004574519888755743739650921702e-1+/-0.322e-27 
relative error                   0.3235839965123898853533183919081043e1+/-0.208e-25%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   3 
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]                             0.19e1+/-0.5e-31 
y[1] (closed_form)               -0.140046062529609034398922773588356e1+/-0.73e-28 
y[1] (numeric)                   -0.134532989748130023494023606452588e1+/-0.253e-27 
absolute error                   0.5513072781479010904899167135768e-1+/-0.326e-27 
relative error                   0.3936613912521401690524448444702661e1+/-0.234e-25%
Desired digits                   8 
Estimated correct digits         12 
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]                             0.2e1+/-0.5e-31 
y[1] (closed_form)               -0.127455645882701872251752311374179e1+/-0.666e-28 
y[1] (numeric)                   -0.121553869383735827374130051355336e1+/-0.261e-27 
absolute error                   0.5901776498966044877622260018843e-1+/-0.327e-27 
relative error                   0.4630455134484573603428497374088479e1+/-0.256e-25%
Desired digits                   8 
Estimated correct digits         12 
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
Finished!
diff  (  y  ,  x  ,  1  )   =   (  1.0  +   (  tan  (  sqrt  (  2.0  *  x  +  1.0  )   )   *  tan (  sqrt  (  2.0  *  x  +  1.0  )   )   )   )   /  sqrt  (  2.0  *  x  +  1.0  )   ; 
Iterations                      14 
Total Elapsed Time              1 Minutes 41 Seconds
Elapsed Time(since restart)     1 Minutes 40 Seconds
Time to Timeout                 18 Minutes 19 Seconds
Percent Done                    0.1071428571428571428571428571428571e3+/-0.348e-28%