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/sub_sin_cpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  sin ( 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(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 
#  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(2.0) - cos(c(x)) - c(x)) 
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)               0.90499583472197423390443801219613e0+/-0.11e-30 
y[1] (numeric)                   0.90499583472197423390443801219613e0+/-0.2e-30 
absolute error                   0.0e0+/-0.31e-30 
relative error                   0.0e0+/-0.342543013024182352857712727937517e-28%
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)               0.819933422158758368875803483251831e0+/-0.118e-30 
y[1] (numeric)                   0.8199334221587583688763227972590705e0+/-0.476e-30 
absolute error                   0.5193140072395e-21+/-0.594e-30 
relative error                   0.6333611890978004439848213353533954e-19+/-0.724e-28%
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)               0.74466351087439398035768977243195e0+/-0.127e-30 
y[1] (numeric)                   0.7446635108743939803591384041050946e0+/-0.808e-30 
absolute error                   0.14486316731446e-20+/-0.935e-30 
relative error                   0.1945350687914863813862119125158311e-18+/-0.125e-27%
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)               0.678939005997114917201473267948199e0+/-0.139e-30 
y[1] (numeric)                   0.6789390059971149172042519355109878e0+/-0.107e-29 
absolute error                   0.27786675627888e-20+/-0.12e-29 
relative error                   0.4092661547273964794755409760087829e-18+/-0.176e-27%
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)               0.62241743810962728388371841739617e0+/-0.152e-30 
y[1] (numeric)                   0.6224174381096272838882145497933867e0+/-0.115e-29 
absolute error                   0.44961323972167e-20+/-0.13e-29 
relative error                   0.7223660716949240898201410376983097e-18+/-0.208e-27%
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)               0.574664385090321702759047501044624e0+/-0.168e-30 
y[1] (numeric)                   0.5746643850903217027656313668801419e0+/-0.121e-29 
absolute error                   0.65838658355179e-20+/-0.137e-29 
relative error                   0.1145688858808101412862713466658767e-17+/-0.238e-27%
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)               0.535157812715511573744140009808135e0+/-0.187e-30 
y[1] (numeric)                   0.5351578127155115737531610177434269e0+/-0.125e-29 
absolute error                   0.90210079352919e-20+/-0.143e-29 
relative error                   0.1685672472857542507720178108698254e-17+/-0.267e-27%
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)               0.503293290652834579079250018357675e0+/-0.208e-30 
y[1] (numeric)                   0.503293290652834579091033225935964e0+/-0.131e-29 
absolute error                   0.11783207578289e-19+/-0.151e-29 
relative error                   0.2341220874016560117818866886165609e-17+/-0.3e-27%
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)               0.478390031729335543515283848592866e0+/-0.232e-30 
y[1] (numeric)                   0.4783900317293355435301267143716049e0+/-0.139e-29 
absolute error                   0.148428657787389e-19+/-0.162e-29 
relative error                   0.3102670372349381623367890869840278e-17+/-0.338e-27%
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)               0.459697694131860282599063392557023e0+/-0.261e-30 
y[1] (numeric)                   0.459697694131860282617232804000313e0+/-0.143e-29 
absolute error                   0.1816941144329e-19+/-0.169e-29 
relative error                   0.3952469563199127656342705907879119e-17+/-0.367e-27%
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)               0.446403878574422612228629948215283e0+/-0.294e-30 
y[1] (numeric)                   0.4464038785744226122503595550425562e0+/-0.147e-29 
absolute error                   0.217296068272732e-19+/-0.176e-29 
relative error                   0.4867701171563752359431758741110114e-17+/-0.394e-27%
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)               0.437642245523326422361626644376924e0+/-0.332e-30 
y[1] (numeric)                   0.4376422455233264223871145240121779e0+/-0.151e-29 
absolute error                   0.254878796352539e-19+/-0.184e-29 
relative error                   0.5823907517149276379580964401177825e-17+/-0.42e-27%
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)               0.432501171375412593002015890707128e0+/-0.374e-30 
y[1] (numeric)                   0.4325011713754125930314225691547855e0+/-0.155e-29 
absolute error                   0.294066784476575e-19+/-0.192e-29 
relative error                   0.6799213596148250876054677444333528e-17+/-0.443e-27%
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)               0.43003285709975906138325196479635e0+/-0.424e-30 
y[1] (numeric)                   0.4300328570997590614166988127184804e0+/-0.159e-29 
absolute error                   0.334468479221304e-19+/-0.201e-29 
relative error                   0.7777742414313099143183417744078833e-17+/-0.467e-27%
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)               0.429262798332297089911810148565724e0+/-0.480e-30 
y[1] (numeric)                   0.4292627983322970899493781685865188e0+/-0.163e-29 
absolute error                   0.375680200207948e-19+/-0.211e-29 
relative error                   0.8751753044230257129748895842105629e-17+/-0.491e-27%
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)               0.429199522301288726205770462946489e0+/-0.545e-30 
y[1] (numeric)                   0.429199522301288726247499480300796e0+/-0.169e-29 
absolute error                   0.41729017354307e-19+/-0.223e-29 
relative error                   0.9722521854303029198176215331324147e-17+/-0.519e-27%
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)               0.428844494295524684087642857334852e0+/-0.615e-30 
y[1] (numeric)                   0.42884449429552468413353112194762e0+/-0.179e-29 
absolute error                   0.45888264612768e-19+/-0.24e-29 
relative error                   0.1070044391922297757464991621620412e-16+/-0.559e-27%
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)               0.427202094693087055316674306530559e0+/-0.702e-30 
y[1] (numeric)                   0.4272020946930870553666785105029733e0+/-0.187e-29 
absolute error                   0.500042039724143e-19+/-0.257e-29 
relative error                   0.1170504653268111969113942125368175e-16+/-0.601e-27%
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]                             0.19e1+/-0.5e-31 
y[1] (closed_form)               0.423289566863503422278833695080291e0+/-0.793e-30 
y[1] (numeric)                   0.4232895668635034223328694054080129e0+/-0.191e-29 
absolute error                   0.540357103277219e-19+/-0.27e-29 
relative error                   0.1276566080475746526537618102065233e-16+/-0.637e-27%
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)               0.41614683654714238699756822950074e0+/-0.901e-30 
y[1] (numeric)                   0.4161468365471423870555107317005761e0+/-0.197e-29 
absolute error                   0.579425021998361e-19+/-0.287e-29 
relative error                   0.1392357146833007249221678129751897e-16+/-0.689e-27%
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)               0.404846104599857451620938523719147e0+/-0.102e-29 
y[1] (numeric)                   0.4048461045998574516826240679349205e0+/-0.205e-29 
absolute error                   0.616855442157735e-19+/-0.307e-29 
relative error                   0.1523678837832523380906808162455497e-16+/-0.758e-27%
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]                             0.22e1+/-0.5e-31 
y[1] (closed_form)               0.388501117255345708524142612654906e0+/-0.115e-29 
y[1] (numeric)                   0.3885011172553457085893700497919112e0+/-0.208e-29 
absolute error                   0.652274371370052e-19+/-0.323e-29 
relative error                   0.1678951082504452738190001897756882e-16+/-0.831e-27%
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]                             0.23e1+/-0.5e-31 
y[1] (closed_form)               0.366276021279824193317880571165998e0+/-0.131e-29 
y[1] (numeric)                   0.3662760212798241933864133627062449e0+/-0.212e-29 
absolute error                   0.685327915402469e-19+/-0.343e-29 
relative error                   0.1871069563898365240351077612411273e-16+/-0.936e-27%
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]                             0.24e1+/-0.5e-31 
y[1] (closed_form)               0.337393715541245499608822227334766e0+/-0.147e-29 
y[1] (numeric)                   0.3373937155412454996803908087516786e0+/-0.216e-29 
absolute error                   0.715685814169126e-19+/-0.363e-29 
relative error                   0.2121218568108258911475973718530757e-16+/-0.107e-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]                             0.25e1+/-0.5e-31 
y[1] (closed_form)               0.301143615546933714833502790467334e0+/-0.168e-29 
y[1] (numeric)                   0.3011436155469337149078072646253899e0+/-0.22e-29 
absolute error                   0.743044741580559e-19+/-0.388e-29 
relative error                   0.2467409910819624488662729735895046e-16+/-0.128e-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]                             0.26e1+/-0.5e-31 
y[1] (closed_form)               0.256888753368947233797702151645183e0+/-0.190e-29 
y[1] (numeric)                   0.2568887533689472338744152852729532e0+/-0.224e-29 
absolute error                   0.767131336277702e-19+/-0.414e-29 
relative error                   0.2986239476104807149083837582139343e-16+/-0.161e-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]                             0.27e1+/-0.5e-31 
y[1] (closed_form)               0.20407214201706114798252728194331e0+/-0.214e-29 
y[1] (numeric)                   0.2040721420170611480612977752401418e0+/-0.228e-29 
absolute error                   0.787704932968318e-19+/-0.442e-29 
relative error                   0.3859933674349647882753053018544287e-16+/-0.216e-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]                             0.28e1+/-0.5e-31 
y[1] (closed_form)               0.142222340668658152586788117366135e0+/-0.243e-29 
y[1] (numeric)                   0.1422223406686581526672441140736309e0+/-0.232e-29 
absolute error                   0.804559967074959e-19+/-0.475e-29 
relative error                   0.5657057557148344941871010753437459e-16+/-0.333e-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]                             0.29e1+/-0.5e-31 
y[1] (closed_form)               0.70958165149590521781106669345515e-1+/-0.276e-29 
y[1] (numeric)                   0.709581651495905218628594722123538e-1+/-0.236e-29 
absolute error                   0.817528028668388e-19+/-0.512e-29 
relative error                   0.115212678758662308540429142027855e-15+/-0.721e-26%
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]                             0.3e1+/-0.5e-31 
y[1] (closed_form)               -0.10007503399554542728427205268761e-1+/-0.312e-29 
y[1] (numeric)                   -0.100075033995545426457792507523701e-1+/-0.24e-29 
absolute error                   0.826479545163909e-19+/-0.552e-29 
relative error                   0.8258598695062122371271641639104871e-15+/-0.551e-25%
Desired digits                   8 
Estimated correct digits         11 
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]                             0.31e1+/-0.5e-31 
y[1] (closed_form)               -0.100864849726720535507623945458561e0+/-0.355e-29 
y[1] (numeric)                   -0.100864849726720535424491437861799e0+/-0.244e-29 
absolute error                   0.83132507596762e-19+/-0.599e-29 
relative error                   0.8241970103757465324312812948845778e-16+/-0.593e-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]                             0.32e1+/-0.5e-31 
y[1] (closed_form)               -0.201705224205246915338339277716446e0+/-0.402e-29 
y[1] (numeric)                   -0.201705224205246915255137657102704e0+/-0.25e-29 
absolute error                   0.83201620613742e-19+/-0.652e-29 
relative error                   0.4124911535711115896788878117206767e-16+/-0.323e-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]                             0.33e1+/-0.5e-31 
y[1] (closed_form)               -0.31252023009113511606340894889718e0+/-0.453e-29 
y[1] (numeric)                   -0.312520230091135115980554345884264e0+/-0.26e-29 
absolute error                   0.82854603012916e-19+/-0.713e-29 
relative error                   0.2651175669132026421742896100575494e-16+/-0.228e-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)               -0.433201807420538985717798460234323e0+/-0.512e-29 
y[1] (numeric)                   -0.433201807420538985635703538154903e0+/-0.274e-29 
absolute error                   0.8209492207942e-19+/-0.786e-29 
relative error                   0.1895073397044365873908230509732202e-16+/-0.181e-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)               -0.563543312709203662301342373328254e0+/-0.580e-29 
y[1] (numeric)                   -0.563543312709203662220412205034196e0+/-0.296e-29 
absolute error                   0.80930168294058e-19+/-0.876e-29 
relative error                   0.1436094909989981800055127396466281e-16+/-0.155e-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)               -0.703241583665852994129708274734046e0+/-0.655e-29 
y[1] (numeric)                   -0.703241583665852994050336295242449e0+/-0.324e-29 
absolute error                   0.79371979491597e-19+/-0.979e-29 
relative error                   0.1128658790025573850786718808787962e-16+/-0.139e-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]                             0.37e1+/-0.5e-31 
y[1] (closed_form)               -0.851899968289591841164329893645611e0+/-0.741e-29 
y[1] (numeric)                   -0.851899968289591841086893969066046e0+/-0.357e-29 
absolute error                   0.77435924579565e-19+/-0.109e-28 
relative error                   0.9089790757362924045533902604973876e-17+/-0.127e-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]                             0.38e1+/-0.5e-31 
y[1] (closed_form)               -0.100903228808558330000343182564928e1+/-0.837e-29 
y[1] (numeric)                   -0.10090322880855832999282904776707e1+/-0.399e-29 
absolute error                   0.7514134797858e-19+/-0.123e-28 
relative error                   0.7446872500100484472045550478193242e-17+/-0.121e-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]                             0.39e1+/-0.5e-31 
y[1] (closed_form)               -0.117406769579985987062766951538563e1+/-0.807e-29 
y[1] (numeric)                   -0.117406769579985987055515833904606e1+/-0.449e-29 
absolute error                   0.7251117633957e-19+/-0.125e-28 
relative error                   0.6176064344413304015224958651181795e-17+/-0.106e-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]                             0.4e1+/-0.5e-31 
y[1] (closed_form)               -0.134635637913638808536083181690225e1+/-0.104e-28 
y[1] (numeric)                   -0.134635637913638808529126012743405e1+/-0.5e-29 
absolute error                   0.695716894682e-19+/-0.154e-28 
relative error                   0.5167405194219551805069865572975357e-17+/-0.114e-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]                             0.41e1+/-0.5e-31 
y[1] (closed_form)               -0.152517605346673108846497132034021e1+/-0.117e-28 
y[1] (numeric)                   -0.152517605346673108839861906259466e1+/-0.554e-29 
absolute error                   0.6635225774555e-19+/-0.172e-28 
relative error                   0.4350465481983608426262449559842474e-17+/-0.112e-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]                             0.42e1+/-0.5e-31 
y[1] (closed_form)               -0.170973917865930042234445511862283e1+/-0.132e-28 
y[1] (numeric)                   -0.170973917865930042228157006995366e1+/-0.63e-29 
absolute error                   0.6288504866917e-19+/-0.195e-28 
relative error                   0.3678049228449077857113844343343433e-17+/-0.114e-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]                             0.43e1+/-0.5e-31 
y[1] (closed_form)               -0.189920082792002470309323760366397e1+/-0.127e-28 
y[1] (numeric)                   -0.189920082792002470303403289821781e1+/-0.706e-29 
absolute error                   0.5920470544616e-19+/-0.197e-28 
relative error                   0.3117348338090188984953709796944345e-17+/-0.103e-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]                             0.44e1+/-0.5e-31 
y[1] (closed_form)               -0.209266713002158031688086025778231e1+/-0.169e-28 
y[1] (numeric)                   -0.209266713002158031682551225693295e1+/-0.797e-29 
absolute error                   0.5534800084936e-19+/-0.248e-28 
relative error                   0.2644854504346767850122645236808452e-17+/-0.118e-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]                             0.45e1+/-0.5e-31 
y[1] (closed_form)               -0.228920420056922029401951817520615e1+/-0.19e-28 
y[1] (numeric)                   -0.228920420056922029396816470540997e1+/-0.898e-29 
absolute error                   0.5135346979618e-19+/-0.279e-28 
relative error                   0.2243289165003748587358771579678629e-17+/-0.121e-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]                             0.46e1+/-0.5e-31 
y[1] (closed_form)               -0.248784747306494548257009217877084e1+/-0.216e-28 
y[1] (numeric)                   -0.248784747306494548252283115445018e1+/-0.1e-28 
absolute error                   0.4726102432066e-19+/-0.316e-28 
relative error                   0.1899675314999757089184240719999565e-17+/-0.127e-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]                             0.47e1+/-0.5e-31 
y[1] (closed_form)               -0.268761133653710926284949170367288e1+/-0.242e-28 
y[1] (numeric)                   -0.268761133653710926280638014888786e1+/-0.108e-28 
absolute error                   0.4311155478502e-19+/-0.350e-28 
relative error                   0.1604084422436158156730204549737373e-17+/-0.13e-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]                             0.48e1+/-0.5e-31 
y[1] (closed_form)               -0.288749898343944656932021525764948e1+/-0.272e-28 
y[1] (numeric)                   -0.288749898343944656928126873633212e1+/-0.118e-28 
absolute error                   0.3894652131736e-19+/-0.390e-28 
relative error                   0.1348797749911891642073833259107957e-17+/-0.135e-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)               -0.308651236942257540449432914412195e1+/-0.307e-28 
y[1] (numeric)                   -0.308651236942257540445952160456664e1+/-0.128e-28 
absolute error                   0.3480753955531e-19+/-0.435e-28 
relative error                   0.1127730441003280117661006112511973e-17+/-0.14e-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 ( x )   -  1 , 0 ; 
Iterations                      98 
Total Elapsed Time              1 Minutes 56 Seconds
Elapsed Time(since restart)     1 Minutes 56 Seconds
Time to Timeout                 18 Minutes 4 Seconds
Percent Done                    0.1010204081632653061224489795918367e3+/-0.914e-29%