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/subpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  sin  (  x  )   -  cos  (  x  )  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=40 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.0) 
x_end=c(10.0) 
$array_y_init[0 + 1] = exact_soln_y(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
#  ELIMINATED in preodein.rb
$glob_type_given_pole=3 
#  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(c(2.0) - cos(c(x)) - sin(c(x))) 
end

#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.0e0+/-0.50e-33 
y[1] (closed_form)               0.1e1+/-0.55e-33 
y[1] (numeric)                   0.1e1+/-0.155e-32 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.210e-32 
relative error                   0.0e0+/-0.210000000000000000000000000000000231e-30%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   34 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.499999999999999999499999999999999769e0+/-0.154e-28 
Order of pole (three term test)                   0.325000000000000000154999999999999997e2+/-0.125e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.1e-1+/-0.50e-32 
y[1] (closed_form)               0.990050166249168057537199627978693601e0+/-0.558e-32 
y[1] (numeric)                   0.99005016624916805753719946206439629e0+/-0.158e-31 
absolute error                   0.165914297311e-24+/-0.213e-31 
relative error                   0.1675817074397056274807808812144615e-22+/-0.215e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   23 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.499900003333288889016365132031863234e0+/-0.155e-28 
Order of pole (three term test)                   0.324900006666533334758105556792760914e2+/-0.126e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.2e-1+/-0.100e-31 
y[1] (closed_form)               0.980201326640089142220814114469550225e0+/-0.107e-31 
y[1] (numeric)                   0.98020132664008914222081378432336621e0+/-0.26e-31 
absolute error                   0.330146184015e-24+/-0.367e-31 
relative error                   0.336814667601672463282769363082341353e-22+/-0.374e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   23 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.499600053330488970277024203995166434e0+/-0.157e-28 
Order of pole (three term test)                   0.324800053329066829357489398179873421e2+/-0.127e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.3e-1+/-0.150e-31 
y[1] (closed_form)               0.970454466048516822959314951607124552e0+/-0.157e-31 
y[1] (numeric)                   0.970454466048516822959314458927887491e0+/-0.355e-31 
absolute error                   0.492679237061e-24+/-0.512e-31 
relative error                   0.507678880666173402541213183277312378e-22+/-0.527e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   23 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.499100269967602083202500180112942248e0+/-0.158e-28 
Order of pole (three term test)                   0.324700179967602777158447213589389715e2+/-0.129e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.4e-1+/-0.200e-31 
y[1] (closed_form)               0.960810559152387900232882430154950801e0+/-0.211e-31 
y[1] (numeric)                   0.960810559152387900232881776657747518e0+/-0.456e-31 
absolute error                   0.653497203283e-24+/-0.667e-31 
relative error                   0.680151979032687824651570284516354371e-22+/-0.694e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   23 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.498400853151309693225168635425851958e0+/-0.159e-28 
Order of pole (three term test)                   0.324600426530154136717475732725038593e2+/-0.13e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.5e-1+/-0.250e-31 
y[1] (closed_form)               0.951270570334355424642264187997988571e0+/-0.266e-31 
y[1] (numeric)                   0.951270570334355424642263375413987549e0+/-0.578e-31 
absolute error                   0.812584001022e-24+/-0.844e-31 
relative error                   0.85420912447274653462013244692579277e-22+/-0.887e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   23 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.497502082639012884089966224924646418e0+/-0.162e-28 
Order of pole (three term test)                   0.324500832916765859391921088790643115e2+/-0.131e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.6e-1+/-0.300e-31 
y[1] (closed_form)               0.941835453585351235253247174960177816e0+/-0.321e-31 
y[1] (numeric)                   0.941835453585351235253246205036456099e0+/-0.692e-31 
absolute error                   0.969923721717e-24+/-0.101e-30 
relative error                   0.102982290380418700501618640739904996e-21+/-0.107e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.496404317926933127469840120812176601e0+/-0.163e-28 
Order of pole (three term test)                   0.324401438963555403352941939979677443e2+/-0.132e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.7e-1+/-0.350e-31 
y[1] (closed_form)               0.932506152409187661402544303252374165e0+/-0.378e-31 
y[1] (numeric)                   0.932506152409187661402543177751742627e0+/-0.782e-31 
absolute error                   0.1125500631538e-23+/-0.116e-30 
relative error                   0.120696322338485284462152845064707424e-21+/-0.124e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.495107998106318587596122391771262727e0+/-0.164e-28 
Order of pole (three term test)                   0.324302284426778817743391854710557884e2+/-0.133e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.8e-1+/-0.400e-31 
y[1] (closed_form)               0.923283599728207927715416878051991423e0+/-0.435e-31 
y[1] (numeric)                   0.923283599728207927715415598752818497e0+/-0.884e-31 
absolute error                   0.1279299172926e-23+/-0.131e-30 
relative error                   0.138559720253083054332122400409669588e-21+/-0.141e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.493613641687813476464753465096267793e0+/-0.165e-28 
Order of pole (three term test)                   0.32420340896692877033450842910295922e2+/-0.134e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.9e-1+/-0.450e-31 
y[1] (closed_form)               0.91416871778999469721590664556771901e0+/-0.493e-31 
y[1] (numeric)                   0.914168717789994697215905214263752867e0+/-0.974e-31 
absolute error                   0.1431303966143e-23+/-0.146e-30 
relative error                   0.156568906624061818577958102775278416e-21+/-0.159e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.491921846394060709534561473793652713e0+/-0.166e-28 
Order of pole (three term test)                   0.324104852132870879258322990136543915e2+/-0.135e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.1e0+/-0.500e-31 
y[1] (closed_form)               0.905162418075146081597623813785507684e0+/-0.552e-31 
y[1] (numeric)                   0.905162418075146081597622232285696832e0+/-0.1e-30 
absolute error                   0.1581499810852e-23+/-0.155e-30 
relative error                   0.17472000375524923344869903993213059e-21+/-0.171e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.490033288920620818090057122345504671e0+/-0.167e-28 
Order of pole (three term test)                   0.324006653346024694071585163899631638e2+/-0.137e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.11e0+/-0.550e-31 
y[1] (closed_form)               0.896265601206128340977210898496697239e0+/-0.611e-31 
y[1] (numeric)                   0.896265601206128340977209168625009651e0+/-0.1e-30 
absolute error                   0.1729871687588e-23+/-0.161e-30 
relative error                   0.193008822971680033859609660836943627e-21+/-0.179e-28%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.48794872466530274751609362011854209e0+/-0.169e-28 
Order of pole (three term test)                   0.323908851884595653547859298872262097e2+/-0.137e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.12e0+/-0.600e-31 
y[1] (closed_form)               0.887479156857214387784551217871396431e0+/-0.672e-31 
y[1] (numeric)                   0.887479156857214387784549341466637152e0+/-0.1e-30 
absolute error                   0.1876404759279e-23+/-0.167e-30 
relative error                   0.211430853871973563331070810555582608e-21+/-0.188e-28%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.485668987426014805556207246502166837e0+/-0.17e-28 
Order of pole (three term test)                   0.323811486867864327204438146092945445e2+/-0.139e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.13e0+/-0.650e-31 
y[1] (closed_form)               0.878803963665517100864282018139873918e0+/-0.73e-31 
y[1] (numeric)                   0.87880396366551710086427999705550118e0+/-0.1e-30 
absolute error                   0.2021084372738e-23+/-0.173e-30 
relative error                   0.229981253647058875199537865319712213e-21+/-0.196e-28%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.483194989067256616146734902446735107e0+/-0.17e-28 
Order of pole (three term test)                   0.323714597240539224657989044103191753e2+/-0.138e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.14e0+/-0.700e-31 
y[1] (closed_form)               0.870240889143126346383063421283228109e0+/-0.793e-31 
y[1] (numeric)                   0.870240889143126346383061257387167971e0+/-0.1e-30 
absolute error                   0.2163896060138e-23+/-0.179e-30 
relative error                   0.248654836509539075151307565872612283e-21+/-0.205e-28%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.480527719155385477598460341529699164e0+/-0.172e-28 
Order of pole (three term test)                   0.323618221757179431476563923311250504e2+/-0.14e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.15e0+/-0.750e-31 
y[1] (closed_form)               0.861790789590358491767293562658019232e0+/-0.856e-31 
y[1] (numeric)                   0.861790789590358491767291257832478816e0+/-0.1e-30 
absolute error                   0.2304825540416e-23+/-0.185e-30 
relative error                   0.267446063273845162270065301807656503e-21+/-0.214e-28%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.477668244562803013719466038032745681e0+/-0.172e-28 
Order of pole (three term test)                   0.323522398966693302265936906427074928e2+/-0.14e-26 
NO COMPLEX POLE (six term test) for Equation 1
Finished!
Maximum Time Reached before Solution Completed!
diff  (  y  ,  x  ,  1  )   =  sin  (  x  )   -  cos  (  x  )  ; 
Iterations                      159 
Total Elapsed Time              3 Minutes 1 Seconds
Elapsed Time(since restart)     3 Minutes 0 Seconds
Expected Time Remaining         3 Hours 5 Minutes 31 Seconds
Optimized Time Remaining        3 Hours 4 Minutes 30 Seconds
Expected Total Time             3 Hours 7 Minutes 31 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.16e1+/-0.8e-30%