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/lin_sin_cospostode.ode#################
diff  (  y  ,  x  ,  1  )   =  sin ( 2.0  *  x  +  3.0 )   +  cos ( 1.5  *  x  -  2.0 )  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.1) 
x_end=c(5.0) 
$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
$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(2.0)*c(x) + c(3.0))/c(2.0) + sin(c(1.5)*c(x) -c(2.0))/c(1.5)) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1e0+/-0.50e-31 
y[1] (closed_form)               -0.141702747419490077677475751282302e0+/-0.269e-29 
y[1] (numeric)                   -0.141702747419490077677475751282302e0+/-0.269e-29 
absolute error                   0.0e0+/-0.538e-29 
relative error                   0.0e0+/-0.3796680091228791588732634058690737e-26%
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]                             0.2e0+/-0.5e-31 
y[1] (closed_form)               -0.177710777345248569756321495882401e0+/-0.339e-29 
y[1] (numeric)                   -0.177710777345248569760364847729994e0+/-0.283e-29 
absolute error                   0.4043351847593e-20+/-0.622e-29 
relative error                   0.2275242901975357646682200844251246e-17+/-0.35e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.3e0+/-0.5e-31 
y[1] (closed_form)               -0.218143301292497806329928369123327e0+/-0.433e-29 
y[1] (numeric)                   -0.218143301292497806339882298173622e0+/-0.299e-29 
absolute error                   0.9953929050295e-20+/-0.732e-29 
relative error                   0.4563023018042739607160934582451753e-17+/-0.335e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.4e0+/-0.5e-31 
y[1] (closed_form)               -0.26148263070176510377469896536203e0+/-0.549e-29 
y[1] (numeric)                   -0.261482630701765103792209996560632e0+/-0.32e-29 
absolute error                   0.17511031198602e-19+/-0.869e-29 
relative error                   0.6696823858474280719896830062398041e-17+/-0.332e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.5e0+/-0.5e-31 
y[1] (closed_form)               -0.305834602471918185579409806475147e0+/-0.697e-29 
y[1] (numeric)                   -0.305834602471918185605813684748003e0+/-0.34e-29 
absolute error                   0.26403878272856e-19+/-0.103e-28 
relative error                   0.8633384862094017342327563655726876e-17+/-0.336e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.6e0+/-0.5e-31 
y[1] (closed_form)               -0.349007829370607104473429277892543e0+/-0.883e-29 
y[1] (numeric)                   -0.349007829370607104509673491753348e0+/-0.362e-29 
absolute error                   0.36244213860805e-19+/-0.124e-28 
relative error                   0.1038492859205107311313817298106293e-16+/-0.355e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.7e0+/-0.5e-31 
y[1] (closed_form)               -0.388610568203705992230711530292854e0+/-0.113e-28 
y[1] (numeric)                   -0.388610568203705992277294071436533e0+/-0.39e-29 
absolute error                   0.46582541143679e-19+/-0.152e-28 
relative error                   0.1198694656169537611965644593830208e-16+/-0.391e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.8e0+/-0.5e-31 
y[1] (closed_form)               -0.422161130465487915703162496439669e0+/-0.143e-28 
y[1] (numeric)                   -0.422161130465487915760089823802748e0+/-0.429e-29 
absolute error                   0.56927327363079e-19+/-0.185e-28 
relative error                   0.1348473918011096110447064698047691e-16+/-0.438e-26%
Desired digits                   8 
Estimated correct digits         13 
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-31 
y[1] (closed_form)               -0.447207095543749658241788747895357e0+/-0.18e-28 
y[1] (numeric)                   -0.447207095543749658308555130196069e0+/-0.477e-29 
absolute error                   0.66766382300712e-19+/-0.227e-28 
relative error                   0.1492963393604749640566226361353225e-16+/-0.507e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.1e1+/-0.5e-31 
y[1] (closed_form)               -0.461448118467748465748844875900502e0+/-0.229e-28 
y[1] (numeric)                   -0.461448118467748465824434394345778e0+/-0.533e-29 
absolute error                   0.75589518445276e-19+/-0.282e-28 
relative error                   0.1638093545516517324557738106294501e-16+/-0.611e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.11e1+/-0.5e-31 
y[1] (closed_form)               -0.46285687395382271211263690124943e0+/-0.289e-28 
y[1] (numeric)                   -0.462856873953822712195548440383887e0+/-0.6e-29 
absolute error                   0.82911539134457e-19+/-0.349e-28 
relative error                   0.1791299725684288666577042009149531e-16+/-0.754e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.12e1+/-0.5e-31 
y[1] (closed_form)               -0.449792658501357991509651004236005e0+/-0.364e-28 
y[1] (numeric)                   -0.449792658501357991597945582961504e0+/-0.676e-29 
absolute error                   0.88294578725499e-19+/-0.431e-28 
relative error                   0.1963006222015347220739733492650397e-16+/-0.958e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.13e1+/-0.5e-31 
y[1] (closed_form)               -0.421102385435577118024481498309018e0+/-0.458e-28 
y[1] (numeric)                   -0.421102385435577118115850335167833e0+/-0.774e-29 
absolute error                   0.91368836858815e-19+/-0.535e-28 
relative error                   0.2169753485587727150783352735470814e-16+/-0.127e-25%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.14e1+/-0.5e-31 
y[1] (closed_form)               -0.376204147372774067211119585273745e0+/-0.571e-28 
y[1] (numeric)                   -0.37620414737277406730297039186266e0+/-0.892e-29 
absolute error                   0.91850806588915e-19+/-0.66e-28 
relative error                   0.2441514992068964423854497687597836e-16+/-0.175e-25%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.15e1+/-0.5e-31 
y[1] (closed_form)               -0.315149170488834390541593679062072e0+/-0.716e-28 
y[1] (numeric)                   -0.315149170488834390631151870473384e0+/-0.103e-28 
absolute error                   0.89558191411312e-19+/-0.819e-28 
relative error                   0.2841771446594526607337920502054699e-16+/-0.259e-25%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.16e1+/-0.5e-31 
y[1] (closed_form)               -0.238658820305841743125493474070944e0+/-0.901e-28 
y[1] (numeric)                   -0.238658820305841743209914309387905e0+/-0.118e-28 
absolute error                   0.84420835316961e-19+/-0.101e-27 
relative error                   0.353730212898796428687949535438823e-16+/-0.423e-25%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.17e1+/-0.5e-31 
y[1] (closed_form)               -0.148134306758656884105117477497884e0+/-0.243e-30 
y[1] (numeric)                   -0.148134306758656884181604625372732e0+/-0.127e-28 
absolute error                   0.76487147874848e-19+/-0.129e-28 
relative error                   0.5163364891527946807241598603781807e-16+/-0.87e-26%
Desired digits                   8 
Estimated correct digits         12 
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]                             0.18e1+/-0.5e-31 
y[1] (closed_form)               -0.456378378208040306614592932349471e-1+/-0.338e-30 
y[1] (numeric)                   -0.456378378208040307273849799511145e-1+/-0.127e-28 
absolute error                   0.659256867161674e-19+/-0.13e-28 
relative error                   0.1444540097956068013161100067028023e-15+/-0.284e-25%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   18 
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]                             0.19e1+/-0.5e-31 
y[1] (closed_form)               0.661548582519492155872353629005165e-1+/-0.437e-30 
y[1] (numeric)                   0.6615485825194921553421360745201658e-1+/-0.127e-28 
absolute error                   0.5302175544849992e-19+/-0.131e-28 
relative error                   0.801479390169166659499786128957927e-16+/-0.198e-25%
Desired digits                   8 
Estimated correct digits         12 
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]                             0.2e1+/-0.5e-31 
y[1] (closed_form)               0.1840295293669453520310694535606193e0+/-0.545e-30 
y[1] (numeric)                   0.18402952936694535199290037544056e0+/-0.127e-28 
absolute error                   0.381690781200593e-19+/-0.132e-28 
relative error                   0.2074073560442147016662868029007607e-16+/-0.717e-26%
Desired digits                   8 
Estimated correct digits         12 
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]                             0.21e1+/-0.5e-31 
y[1] (closed_form)               0.304333636240886718460263460288933e0+/-0.671e-30 
y[1] (numeric)                   0.3043336362408867184384066466064755e0+/-0.127e-28 
absolute error                   0.218568136824575e-19+/-0.133e-28 
relative error                   0.7181859341094112485419289252089611e-17+/-0.437e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.22e1+/-0.5e-31 
y[1] (closed_form)               0.4230984598242666519005165190095466e0+/-0.809e-30 
y[1] (numeric)                   0.4230984598242666518958641517488849e0+/-0.127e-28 
absolute error                   0.46523672606617e-20+/-0.135e-28 
relative error                   0.1099594468529631182080842861586968e-17+/-0.319e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.23e1+/-0.5e-31 
y[1] (closed_form)               0.5361787394005979750811597148727913e0+/-0.101e-29 
y[1] (numeric)                   0.5361787394005979750939790833157887e0+/-0.127e-28 
absolute error                   0.128193684429974e-19+/-0.137e-28 
relative error                   0.2390875933896289651669440209632268e-17+/-0.255e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.24e1+/-0.5e-31 
y[1] (closed_form)               0.6394046917463453230451252605545984e0+/-0.126e-29 
y[1] (numeric)                   0.6394046917463453230750248164033529e0+/-0.127e-28 
absolute error                   0.298995558487545e-19+/-0.139e-28 
relative error                   0.4676155216673916182141926635971774e-17+/-0.217e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.25e1+/-0.5e-31 
y[1] (closed_form)               0.728740648153598028755529315560926e0+/-0.164e-29 
y[1] (numeric)                   0.7287406481535980288014501470538549e0+/-0.127e-28 
absolute error                   0.459208314929289e-19+/-0.143e-28 
relative error                   0.6301395648682146861600277169833936e-17+/-0.196e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.26e1+/-0.5e-31 
y[1] (closed_form)               0.8004441556168605960267171366831346e0+/-0.212e-29 
y[1] (numeric)                   0.8004441556168605960869507436399385e0+/-0.127e-28 
absolute error                   0.602336069568039e-19+/-0.148e-28 
relative error                   0.7525023018049897329778083652690685e-17+/-0.184e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.27e1+/-0.5e-31 
y[1] (closed_form)               0.8512192394805929319457134900796278e0+/-0.27e-29 
y[1] (numeric)                   0.8512192394805929320179457001195352e0+/-0.129e-28 
absolute error                   0.722322100399074e-19+/-0.156e-28 
relative error                   0.8485735130233065225686881219761702e-17+/-0.183e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.28e1+/-0.5e-31 
y[1] (closed_form)               0.8783576262063998066349261661909878e0+/-0.342e-29 
y[1] (numeric)                   0.8783576262063998067163059847196958e0+/-0.131e-28 
absolute error                   0.81379818528708e-19+/-0.165e-28 
relative error                   0.9264998230866963699221216386616825e-17+/-0.187e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.29e1+/-0.5e-31 
y[1] (closed_form)               0.879862075558057396246203540118471e0+/-0.427e-29 
y[1] (numeric)                   0.8798620755580573963334347149625158e0+/-0.133e-28 
absolute error                   0.872311748440448e-19+/-0.175e-28 
relative error                   0.9914187378597713062701089925560462e-17+/-0.198e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.3e1+/-0.5e-31 
y[1] (closed_form)               0.8545465603449761568853838237146985e0+/-0.531e-29 
y[1] (numeric)                   0.8545465603449761569748359702279888e0+/-0.136e-28 
absolute error                   0.894521465132903e-19+/-0.189e-28 
relative error                   0.104677908336766246500579090822177e-16+/-0.221e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.31e1+/-0.5e-31 
y[1] (closed_form)               0.8021088382286702520344631881694952e0+/-0.658e-29 
y[1] (numeric)                   0.8021088382286702521222985001860601e0+/-0.14e-28 
absolute error                   0.878353120165649e-19+/-0.205e-28 
relative error                   0.1095054783469724774024287116126502e-16+/-0.255e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.32e1+/-0.5e-31 
y[1] (closed_form)               0.7231719544548731824515428788114027e0+/-0.815e-29 
y[1] (numeric)                   0.7231719544548731825338537785918238e0+/-0.144e-28 
absolute error                   0.823108997804211e-19+/-0.225e-28 
relative error                   0.1138192642474182136873684175158095e-16+/-0.311e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.33e1+/-0.5e-31 
y[1] (closed_form)               0.6192923594710816063571359159801114e0+/-0.101e-28 
y[1] (numeric)                   0.6192923594710816064300885002393047e0+/-0.15e-28 
absolute error                   0.729525842591933e-19+/-0.251e-28 
relative error                   0.1177999100804341251860705168835939e-16+/-0.405e-26%
Desired digits                   8 
Estimated correct digits         12 
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]                             0.34e1+/-0.5e-31 
y[1] (closed_form)               0.4929335776745704787378210571090473e0+/-0.127e-28 
y[1] (numeric)                   0.4929335776745704787977988974420145e0+/-0.157e-28 
absolute error                   0.599778403329672e-19+/-0.284e-28 
relative error                   0.1216752987611729185656755918789224e-16+/-0.576e-26%
Desired digits                   8 
Estimated correct digits         12 
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]                             0.35e1+/-0.5e-31 
y[1] (closed_form)               0.347405674851487308105544745538158e0+/-0.158e-28 
y[1] (numeric)                   0.3474056748514873081492875135102342e0+/-0.165e-28 
absolute error                   0.437427679720762e-19+/-0.323e-28 
relative error                   0.1259126466220674895233030698966717e-16+/-0.929e-26%
Desired digits                   8 
Estimated correct digits         12 
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]                             0.36e1+/-0.5e-31 
y[1] (closed_form)               0.186772091329045655830792090811586e0+/-0.188e-28 
y[1] (numeric)                   0.1867720913290456558555236058205883e0+/-0.175e-28 
absolute error                   0.247315150090023e-19+/-0.363e-28 
relative error                   0.1324154740304940072951845940964478e-16+/-0.194e-25%
Desired digits                   8 
Estimated correct digits         12 
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]                             0.37e1+/-0.5e-31 
y[1] (closed_form)               0.157266838563078996162361131920955e-1+/-0.244e-28 
y[1] (numeric)                   0.157266838563078996197767516072818e-1+/-0.187e-28 
absolute error                   0.35406384151863e-20+/-0.431e-28 
relative error                   0.2251357277565013446419428792227087e-16+/-0.274e-24%
Desired digits                   8 
Estimated correct digits         11 
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]                             0.38e1+/-0.5e-31 
y[1] (closed_form)               -0.160554998553080814102320666178474e0+/-0.29e-28 
y[1] (numeric)                   -0.160554998553080814121461720885532e0+/-0.2e-28 
absolute error                   0.19141054707058e-19+/-0.49e-28 
relative error                   0.1192180553676739535791427036243801e-16+/-0.305e-25%
Desired digits                   8 
Estimated correct digits         12 
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]                             0.39e1+/-0.5e-31 
y[1] (closed_form)               -0.336585138149110453513787508486424e0+/-0.375e-28 
y[1] (numeric)                   -0.336585138149110453556343972611832e0+/-0.217e-28 
absolute error                   0.42556464125408e-19+/-0.592e-28 
relative error                   0.1264359572125703217460059290875602e-16+/-0.175e-25%
Desired digits                   8 
Estimated correct digits         12 
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]                             0.4e1+/-0.5e-31 
y[1] (closed_form)               -0.506747845865977560455936908703181e0+/-0.47e-28 
y[1] (numeric)                   -0.506747845865977560521843983766922e0+/-0.238e-28 
absolute error                   0.65907075063741e-19+/-0.708e-28 
relative error                   0.1300589151022692518488974790210467e-16+/-0.139e-25%
Desired digits                   8 
Estimated correct digits         12 
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]                             0.41e1+/-0.5e-31 
y[1] (closed_form)               -0.665491565959673084455392733679736e0+/-0.58e-28 
y[1] (numeric)                   -0.665491565959673084543774494702927e0+/-0.263e-28 
absolute error                   0.88381761023191e-19+/-0.843e-28 
relative error                   0.1328067334643677301301407102169862e-16+/-0.126e-25%
Desired digits                   8 
Estimated correct digits         12 
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]                             0.42e1+/-0.5e-31 
y[1] (closed_form)               -0.807522724340248609408335037104349e0+/-0.722e-28 
y[1] (numeric)                   -0.80752272434024860951752146774518e0+/-0.293e-28 
absolute error                   0.109186430640831e-18+/-0.101e-27 
relative error                   0.1352115889122959775639698796415835e-16+/-0.125e-25%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.43e1+/-0.5e-31 
y[1] (closed_form)               -0.927993521964412808850133533217274e0+/-0.903e-28 
y[1] (numeric)                   -0.927993521964412808977706930291899e0+/-0.328e-28 
absolute error                   0.127573397074625e-18+/-0.123e-27 
relative error                   0.1374722926993850855330684187780291e-16+/-0.132e-25%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.44e1+/-0.5e-31 
y[1] (closed_form)               -0.102267690858439540632462044912268e1+/-0.112e-27 
y[1] (numeric)                   -0.102267690858439540646748979956852e1+/-0.372e-28 
absolute error                   0.14286935044584e-18+/-0.149e-27 
relative error                   0.1397013555763196811557188100261485e-16+/-0.145e-25%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.45e1+/-0.5e-31 
y[1] (closed_form)               -0.108812217201649801548315815031829e1+/-0.139e-27 
y[1] (numeric)                   -0.108812217201649801563765900970542e1+/-0.425e-28 
absolute error                   0.15450085938713e-18+/-0.181e-27 
relative error                   0.1419885223924905659942181041314964e-16+/-0.166e-25%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.46e1+/-0.5e-31 
y[1] (closed_form)               -0.112178523045354044898082729758648e1+/-0.173e-27 
y[1] (numeric)                   -0.112178523045354044914284371273486e1+/-0.49e-28 
absolute error                   0.16201641514838e-18+/-0.222e-27 
relative error                   0.1444273027938479598682078418348339e-16+/-0.197e-25%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.47e1+/-0.5e-31 
y[1] (closed_form)               -0.112212859689670282150164442556658e1+/-0.215e-27 
y[1] (numeric)                   -0.11221285968967028216667485833444e1+/-0.569e-28 
absolute error                   0.16510415777782e-18+/-0.271e-27 
relative error                   0.1471347920678815111594151702750642e-16+/-0.241e-25%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.48e1+/-0.5e-31 
y[1] (closed_form)               -0.108868706323060455497272902922418e1+/-0.221e-29 
y[1] (numeric)                   -0.108868706323060455513633361306728e1+/-0.663e-28 
absolute error                   0.1636045838431e-18+/-0.685e-28 
relative error                   0.1502769614599943566885795259032791e-16+/-0.629e-26%
Desired digits                   8 
Estimated correct digits         13 
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]                             0.49e1+/-0.5e-31 
y[1] (closed_form)               -0.10220963867501548154183571143669e1+/-0.282e-29 
y[1] (numeric)                   -0.102209638675015481557587483727195e1+/-0.739e-28 
absolute error                   0.15751772290505e-18+/-0.767e-28 
relative error                   0.1541123958043638402725911311565303e-16+/-0.75e-26%
Desired digits                   8 
Estimated correct digits         13 
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
Finished!
diff  (  y  ,  x  ,  1  )   =  sin ( 2.0  *  x  +  3.0 )   +  cos ( 1.5  *  x  -  2.0 )  ; 
Iterations                      98 
Total Elapsed Time              2 Minutes 43 Seconds
Elapsed Time(since restart)     2 Minutes 43 Seconds
Time to Timeout                 17 Minutes 17 Seconds
Percent Done                    0.1010204081632653061224489795918367e3+/-0.914e-29%