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/diff2postode.ode#################
diff  (  y  ,  x  ,  3  )   =  m1  *  diff  (  y  ,  x  ,  1  )   ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=40 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(-1.0) 
x_end=c(1.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$array_y_init[1 + 1] = exact_soln_yp(x_start)
$array_y_init[2 + 1] = exact_soln_ypp(x_start)
$glob_look_poles=true 
#  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=3 
#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( 		$glob__m1 *  cos(c(x))) 
end
def exact_soln_yp (x)
x = c(x)
return(		sin(c(x))) 
end
def exact_soln_ypp (x)
x = c(x)
return(		cos(c(x))) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             -0.1e1+/-0.50e-30 
y[1] (closed_form)               -0.540302305868139717400936607442977e0+/-0.712e-30 
y[1] (numeric)                   -0.540302305868139717400936607442977e0+/-0.766e-30 
absolute error                   0.0e0+/-0.1478e-29 
relative error                   0.0e0+/-0.2735505630732408063273571290794412e-27%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             -0.9e0+/-0.5e-30 
y[1] (closed_form)               -0.621609968270664456484716151407136e0+/-0.613e-30 
y[1] (numeric)                   -0.621610614069939543566410766782216e0+/-0.105e-29 
absolute error                   0.64579927508708169461537508e-6+/-0.166e-29 
relative error                   0.1038913962212852757371886859463755e-3+/-0.267e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             -0.8e0+/-0.5e-30 
y[1] (closed_form)               -0.696706709347165420920749981642325e0+/-0.54e-30 
y[1] (numeric)                   -0.696726986924631729361107616017035e0+/-0.135e-29 
absolute error                   0.2027757746630844035763437471e-4+/-0.189e-29 
relative error                   0.2910489764812100627377351605341526e-2+/-0.271e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             -0.7e0+/-0.5e-30 
y[1] (closed_form)               -0.764842187284488426255859990191867e0+/-0.464e-30 
y[1] (numeric)                   -0.764992433668319764095571906617186e0+/-0.184e-29 
absolute error                   0.150246383831337839711916425319e-3+/-0.23e-29 
relative error                   0.196441025781770379037909622738001e-1+/-0.3e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             -0.6e0+/-0.5e-30 
y[1] (closed_form)               -0.825335614909678297240952498955375e0+/-0.394e-30 
y[1] (numeric)                   -0.825949917536111456356077941530489e0+/-0.259e-29 
absolute error                   0.614302626433159115125442575114e-3+/-0.298e-29 
relative error                   0.7443064558656979095634740651048416e-1+/-0.361e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             -0.5e0+/-0.5e-30 
y[1] (closed_form)               -0.877582561890372716116281582603829e0+/-0.328e-30 
y[1] (numeric)                   -0.879391223913385468530957021084378e0+/-0.38e-29 
absolute error                   0.1808662023012752414675438480549e-2+/-0.412e-29 
relative error                   0.2060959391805565292207484450741623e0+/-0.469e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             -0.4e0+/-0.5e-30 
y[1] (closed_form)               -0.921060994002885082798526732051801e0+/-0.268e-30 
y[1] (numeric)                   -0.925378344968474320897794440869582e0+/-0.535e-29 
absolute error                   0.4317350965589238099267708817781e-2+/-0.561e-29 
relative error                   0.4687367062224887418461347862715246e0+/-0.609e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             -0.3e0+/-0.5e-30 
y[1] (closed_form)               -0.955336489125606019642310227568049e0+/-0.21e-30 
y[1] (numeric)                   -0.964237184478064306468826661580627e0+/-0.748e-29 
absolute error                   0.8900695352458286826516434012578e-2+/-0.769e-29 
relative error                   0.931681711498830702882050244162725e0+/-0.805e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             -0.2e0+/-0.5e-30 
y[1] (closed_form)               -0.980066577841241631124196516748168e0+/-0.157e-30 
y[1] (numeric)                   -0.996524222056907143420659325590698e0+/-0.101e-28 
absolute error                   0.1645764421566551229646280884253e-1+/-0.102e-28 
relative error                   0.1679237368946524993422974381246628e1+/-0.104e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             -0.1e0+/-0.5e-30 
y[1] (closed_form)               -0.995004165278025766095561987803869e0+/-0.105e-30 
y[1] (numeric)                   -0.102296954660341692133409554070705e1+/-0.131e-28 
absolute error                   0.27965381325391155238533552903181e-1+/-0.132e-28 
relative error                   0.2810579322306356430776131585401447e1+/-0.132e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.0e0+/-0.50000000000000000000000000000000000000000000000000000000000000000000001e-30 
y[1] (closed_form)               -0.1e1+/-0.55e-31 
y[1] (numeric)                   -0.104440209059473383200401778258093e1+/-0.169e-28 
absolute error                   0.4440209059473383200401778258093e-1+/-0.169e-28 
relative error                   0.4440209059473383200401778258093e1+/-0.169e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.1e0+/-0.2e-100 
y[1] (closed_form)               -0.995004165278025766095561987803869e0+/-0.555e-31 
y[1] (numeric)                   -0.106166472170642415615446833796571e1+/-0.215e-28 
absolute error                   0.66660556428398390058906350161841e-1+/-0.215e-28 
relative error                   0.6699525364275433293298132755736137e1+/-0.216e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.2e0+/-0.4e-100 
y[1] (closed_form)               -0.980066577841241631124196516748168e0+/-0.573e-31 
y[1] (numeric)                   -0.10755278890031314202822623426434e1+/-0.271e-28 
absolute error                   0.95461311161889789158065825895232e-1+/-0.271e-28 
relative error                   0.9740288396749441254851605493485031e1+/-0.276e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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  ,  3  )   =  m1  *  diff  (  y  ,  x  ,  1  )   ; 
Iterations                      25 
Total Elapsed Time              21 Minutes 7 Seconds
Elapsed Time(since restart)     21 Minutes 6 Seconds
Expected Time Remaining         11 Minutes 22 Seconds
Optimized Time Remaining        11 Minutes 21 Seconds
Expected Total Time             32 Minutes 28 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.65e2+/-0.461e-28%