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/mult_sin_linpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   sin ( x )   *   ( 0.2  *  x  +  0.3 )  ; 
!
#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 
#  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(0.2) * sin(c(x)) - c(0.2) * cos(c(x)) * c(x) - c(0.3) * cos(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)               -0.298434649559602614689216996415113e0+/-0.843e-31 
y[1] (numeric)                   -0.298434649559602614689216996415113e0+/-0.114e-30 
absolute error                   0.0e0+/-0.1983e-30 
relative error                   0.0e0+/-0.6644670794514965484588716123048671e-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)               -0.293488770307009911490344290270699e0+/-0.971e-31 
y[1] (numeric)                   -0.293488770307009911491828142773367e0+/-0.228e-30 
absolute error                   0.1483852502668e-20+/-0.325e-30 
relative error                   0.5055908957319851926566026264451321e-18+/-0.11e-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]                             0.3e0+/-0.5e-31 
y[1] (closed_form)               -0.284817094752950252050167532787492e0+/-0.109e-30 
y[1] (numeric)                   -0.284817094752950252052954412614626e0+/-0.33e-30 
absolute error                   0.2786879827134e-20+/-0.439e-30 
relative error                   0.978480533112429115531998928762344e-18+/-0.154e-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)               -0.272119509259366233130177806820543e0+/-0.122e-30 
y[1] (numeric)                   -0.27211950925936623313405765493799e0+/-0.429e-30 
absolute error                   0.3879848117447e-20+/-0.551e-30 
relative error                   0.1425788297210615134953048703733941e-17+/-0.202e-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)               -0.255147917035308486391855045998417e0+/-0.134e-30 
y[1] (numeric)                   -0.255147917035308486396591119850783e0+/-0.539e-30 
absolute error                   0.4736073852366e-20+/-0.673e-30 
relative error                   0.1856207139527853309786246895988108e-17+/-0.263e-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)               -0.233712463583057813401010960429526e0+/-0.146e-30 
y[1] (numeric)                   -0.233712463583057813406342808385931e0+/-0.643e-30 
absolute error                   0.5331847956405e-20+/-0.789e-30 
relative error                   0.2281370824072522464321522268592502e-17+/-0.337e-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)               -0.207687024957636696818055525404676e0+/-0.158e-30 
y[1] (numeric)                   -0.207687024957636696823702349511023e0+/-0.74e-30 
absolute error                   0.5646824106347e-20+/-0.898e-30 
relative error                   0.2718910392933222599246967357023617e-17+/-0.432e-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)               -0.177013868119791541298110069439192e0+/-0.169e-30 
y[1] (numeric)                   -0.177013868119791541303774435279717e0+/-0.826e-30 
absolute error                   0.5664365840525e-20+/-0.995e-30 
relative error                   0.3199955969942266570179276067362099e-17+/-0.562e-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)               -0.141707402844422261420387289532714e0+/-0.18e-30 
y[1] (numeric)                   -0.141707402844422261425759137098431e0+/-0.9e-30 
absolute error                   0.5371847565717e-20+/-0.108e-29 
relative error                   0.3790802356045325719191958018582226e-17+/-0.762e-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)               -0.101856955972490557369967839395428e0+/-0.194e-30 
y[1] (numeric)                   -0.101856955972490557374728744502827e0+/-0.939e-30 
absolute error                   0.4760905107399e-20+/-0.113e-29 
relative error                   0.4674108961870823356758320902243104e-17+/-0.11e-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)               -0.57628511129013173650751911353712e-1+/-0.207e-30 
y[1] (numeric)                   -0.576285111290131736545795434107044e-1+/-0.984e-30 
absolute error                   0.38276320569924e-20+/-0.119e-29 
relative error                   0.6641906899908389299699096459004109e-17+/-0.206e-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]                             0.12e1+/-0.5e-31 
y[1] (closed_form)               -0.926537022395846199069472493749586e-2+/-0.224e-30 
y[1] (numeric)                   -0.926537022395846199326744376494706e-2+/-0.101e-29 
absolute error                   0.25727188274512e-20+/-0.123e-29 
relative error                   0.2776703753076854789082122551965129e-16+/-0.132e-25%
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]                             0.13e1+/-0.5e-31 
y[1] (closed_form)               0.4291229305366964502139862480390275e-1+/-0.241e-30 
y[1] (numeric)                   0.4291229305366964502039709277552705e-1+/-0.103e-29 
absolute error                   0.10015320283757e-20+/-0.127e-29 
relative error                   0.2333904709131021331047666818375045e-17+/-0.295e-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]                             0.14e1+/-0.5e-31 
y[1] (closed_form)               0.985090031155522917341810553431022e-1+/-0.263e-30 
y[1] (numeric)                   0.9850900311555229173505692283753453e-1+/-0.105e-29 
absolute error                   0.87586749443233e-21+/-0.131e-29 
relative error                   0.8891243101962228601608480858421713e-18+/-0.132e-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]                             0.15e1+/-0.5e-31 
y[1] (closed_form)               0.1570566763201891401354307633677316e0+/-0.289e-30 
y[1] (numeric)                   0.1570566763201891401384755322189874e0+/-0.107e-29 
absolute error                   0.30447688512558e-20+/-0.135e-29 
relative error                   0.1938643375496164483772941103127361e-17+/-0.859e-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)               0.21801842443510004311600045213607e0+/-0.332e-30 
y[1] (numeric)                   0.2180184244351000431214863697899248e0+/-0.11e-29 
absolute error                   0.54859176538548e-20+/-0.143e-29 
relative error                   0.2516263324106286169604382920156729e-17+/-0.655e-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)               0.28079343843962952088531810842388e0+/-0.40e-30 
y[1] (numeric)                   0.2807934384396295208934937926774159e0+/-0.114e-29 
absolute error                   0.81756842535359e-20+/-0.154e-29 
relative error                   0.2911636503676231347317367350719042e-17+/-0.548e-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]                             0.18e1+/-0.5e-31 
y[1] (closed_form)               0.3447229086730764938154796780788402e0+/-0.485e-30 
y[1] (numeric)                   0.3447229086730764938265659703109021e0+/-0.119e-29 
absolute error                   0.110862922320619e-19+/-0.167e-29 
relative error                   0.3216001012156625560348848736886171e-17+/-0.484e-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]                             0.19e1+/-0.5e-31 
y[1] (closed_form)               0.4090969230046652248475488349815893e0+/-0.578e-30 
y[1] (numeric)                   0.4090969230046652248617349399201628e0+/-0.125e-29 
absolute error                   0.141861049385735e-19+/-0.182e-29 
relative error                   0.346766356353448439351977033862454e-17+/-0.444e-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]                             0.2e1+/-0.5e-31 
y[1] (closed_form)               0.4731622709481360099775017338328667e0+/-0.688e-30 
y[1] (numeric)                   0.4731622709481360099949417009522914e0+/-0.131e-29 
absolute error                   0.174399671194247e-19+/-0.199e-29 
relative error                   0.3685832153201479502617073274084107e-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]                             0.21e1+/-0.5e-31 
y[1] (closed_form)               0.5361310686416721193032275997315898e0+/-0.811e-30 
y[1] (numeric)                   0.5361310686416721193240371977040833e0+/-0.137e-29 
absolute error                   0.208095979724935e-19+/-0.218e-29 
relative error                   0.3881438549199575765286303404465714e-17+/-0.406e-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]                             0.22e1+/-0.5e-31 
y[1] (closed_form)               0.597190107532873861168672915447853e0+/-0.939e-30 
y[1] (numeric)                   0.5971901075328738611929269467289889e0+/-0.143e-29 
absolute error                   0.242540312811359e-19+/-0.236e-29 
relative error                   0.4061358514683831168506213231049503e-17+/-0.395e-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]                             0.23e1+/-0.5e-31 
y[1] (closed_form)               0.6555108186080104223986704764148572e0+/-0.11e-29 
y[1] (numeric)                   0.6555108186080104224264005740689064e0+/-0.151e-29 
absolute error                   0.277300976540492e-19+/-0.261e-29 
relative error                   0.4230303584147487449898769634150856e-17+/-0.398e-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]                             0.24e1+/-0.5e-31 
y[1] (closed_form)               0.7102597342324016750080356423893732e0+/-0.126e-29 
y[1] (numeric)                   0.7102597342324016750392285857135568e0+/-0.159e-29 
absolute error                   0.311929433241836e-19+/-0.285e-29 
relative error                   0.439176569088415520004080569489343e-17+/-0.401e-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]                             0.25e1+/-0.5e-31 
y[1] (closed_form)               0.7606093212583382706771731728111005e0+/-0.147e-29 
y[1] (numeric)                   0.760609321258338270711769752260127e0+/-0.167e-29 
absolute error                   0.345965794490265e-19+/-0.314e-29 
relative error                   0.4548534771016288128213275288806422e-17+/-0.412e-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]                             0.26e1+/-0.5e-31 
y[1] (closed_form)               0.8057490521268295787656611513909231e0+/-0.169e-29 
y[1] (numeric)                   0.8057490521268295788035556068042974e0+/-0.176e-29 
absolute error                   0.378944554133743e-19+/-0.345e-29 
relative error                   0.4703009617367752449181156129272752e-17+/-0.428e-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]                             0.27e1+/-0.5e-31 
y[1] (closed_form)               0.8448965753410973512165335340039593e0+/-0.194e-29 
y[1] (numeric)                   0.8448965753410973512575735832732344e0+/-0.198e-29 
absolute error                   0.410400492692751e-19+/-0.392e-29 
relative error                   0.4857405091588472813342234758926521e-17+/-0.463e-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]                             0.28e1+/-0.5e-31 
y[1] (closed_form)               0.8773088430062269951334085314773621e0+/-0.224e-29 
y[1] (numeric)                   0.8773088430062269951773959996389027e0+/-0.208e-29 
absolute error                   0.439874681615406e-19+/-0.432e-29 
relative error                   0.5013909128148202664656907520765753e-17+/-0.492e-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]                             0.29e1+/-0.5e-31 
y[1] (closed_form)               0.9022930511744361248042252527719691e0+/-0.259e-29 
y[1] (numeric)                   0.9022930511744361248509173041566582e0+/-0.218e-29 
absolute error                   0.466920513846891e-19+/-0.477e-29 
relative error                   0.5174821120911230709581501301993596e-17+/-0.528e-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]                             0.3e1+/-0.5e-31 
y[1] (closed_form)               0.9192172485523743559645644758197382e0+/-0.296e-29 
y[1] (numeric)                   0.9192172485523743560136754444216931e0+/-0.228e-29 
absolute error                   0.491109686019549e-19+/-0.524e-29 
relative error                   0.5342694415199139750355184529545612e-17+/-0.57e-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]                             0.31e1+/-0.5e-31 
y[1] (closed_form)               0.9275204707380752231719256244974573e0+/-0.343e-29 
y[1] (numeric)                   0.9275204707380752232231294302279665e0+/-0.238e-29 
absolute error                   0.512038057305092e-19+/-0.581e-29 
relative error                   0.5520504112406675720282388629113049e-17+/-0.626e-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]                             0.32e1+/-0.5e-31 
y[1] (closed_form)               0.9267222605615519177545175960227216e0+/-0.394e-29 
y[1] (numeric)                   0.9267222605615519178074507270836246e0+/-0.248e-29 
absolute error                   0.52933131060903e-19+/-0.642e-29 
relative error                   0.5711865713555635163653624766390194e-17+/-0.692e-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]                             0.33e1+/-0.5e-31 
y[1] (closed_form)               0.916431440283860612176796553538217e0+/-0.452e-29 
y[1] (numeric)                   0.9164314402838606122310615878706712e0+/-0.259e-29 
absolute error                   0.542650343324542e-19+/-0.711e-29 
relative error                   0.5921341406144451355296172210058529e-17+/-0.775e-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]                             0.34e1+/-0.5e-31 
y[1] (closed_form)               0.8963540083225055301465770230976206e0+/-0.519e-29 
y[1] (numeric)                   0.8963540083225055302017466548265446e0+/-0.271e-29 
absolute error                   0.55169631728924e-19+/-0.790e-29 
relative error                   0.6154893180225968166715301502605635e-17+/-0.881e-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]                             0.35e1+/-0.5e-31 
y[1] (closed_form)               0.8663000417528723680745838666630238e0+/-0.596e-29 
y[1] (numeric)                   0.8663000417528723681302053967515034e0+/-0.295e-29 
absolute error                   0.556215300884796e-19+/-0.891e-29 
relative error                   0.6420584948366727602981969621590262e-17+/-0.102e-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]                             0.36e1+/-0.5e-31 
y[1] (closed_form)               0.826189496001859469134352090272738e0+/-0.686e-29 
y[1] (numeric)                   0.8261894960018594691899523343074102e0+/-0.309e-29 
absolute error                   0.556002440346722e-19+/-0.995e-29 
relative error                   0.6729720518565762899039460822202514e-17+/-0.12e-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)               0.776056804797125842546941385468325e0+/-0.789e-29 
y[1] (numeric)                   0.7760568047971258426020319456965915e0+/-0.323e-29 
absolute error                   0.550905602282665e-19+/-0.111e-28 
relative error                   0.7098779353228928751203318534206261e-17+/-0.143e-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)               0.716054196440737886849645047587989e0+/-0.907e-29 
y[1] (numeric)                   0.7160541964407378869037278910932976e0+/-0.337e-29 
absolute error                   0.540828435053086e-19+/-0.124e-28 
relative error                   0.7552898059132400740554001687079865e-17+/-0.173e-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)               0.646453656699356576103939298307781e0+/-0.893e-29 
y[1] (numeric)                   0.646453656699356576156512578611454e0+/-0.356e-29 
absolute error                   0.52573280303673e-19+/-0.124e-28 
relative error                   0.8132567548940794301948785491579385e-17+/-0.191e-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)               0.56764748388838745582855718250517e0+/-0.117e-28 
y[1] (numeric)                   0.5676474838883874558791212379796846e0+/-0.378e-29 
absolute error                   0.505640554745146e-19+/-0.154e-28 
relative error                   0.8907650770888760893599959107303236e-17+/-0.271e-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]                             0.41e1+/-0.5e-31 
y[1] (closed_form)               0.480147397904379080066224716347274e0+/-0.134e-28 
y[1] (numeric)                   0.4801473979043790801142881756737375e0+/-0.395e-29 
absolute error                   0.480634593264635e-19+/-0.173e-28 
relative error                   0.1001014678747364459213492445096609e-16+/-0.36e-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]                             0.42e1+/-0.5e-31 
y[1] (closed_form)               0.38458218184567990652360574518821e0+/-0.152e-28 
y[1] (numeric)                   0.3845821818456799065686916677336894e0+/-0.413e-29 
absolute error                   0.450859225454794e-19+/-0.193e-28 
relative error                   0.1172335190598374825900820538525687e-16+/-0.501e-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]                             0.43e1+/-0.5e-31 
y[1] (closed_form)               0.281693852262880347605502507692871e0+/-0.15e-28 
y[1] (numeric)                   0.2816938522628803476471544851578473e0+/-0.433e-29 
absolute error                   0.416519774649763e-19+/-0.193e-28 
relative error                   0.1478625718324379181653035728244752e-16+/-0.685e-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]                             0.44e1+/-0.5e-31 
y[1] (closed_form)               0.1723323717966320352735064291407926e0+/-0.201e-28 
y[1] (numeric)                   0.1723323717966320353112945741593666e0+/-0.453e-29 
absolute error                   0.37788145018574e-19+/-0.246e-28 
relative error                   0.2192747922205090301299264151068851e-16+/-0.142e-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]                             0.45e1+/-0.5e-31 
y[1] (closed_form)               0.574489357839162360987511868528825e-1+/-0.231e-28 
y[1] (numeric)                   0.574489357839162361322779344390887e-1+/-0.476e-29 
absolute error                   0.335267475862062e-19+/-0.278e-28 
relative error                   0.5835921436788835739156518606917034e-16+/-0.483e-25%
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]                             0.46e1+/-0.5e-31 
y[1] (closed_form)               -0.619121178659263799631333900822036e-1+/-0.265e-28 
y[1] (numeric)                   -0.619121178659263799342277412572245e-1+/-0.502e-29 
absolute error                   0.289056488249791e-19+/-0.315e-28 
relative error                   0.4668819258868780734239750551244135e-16+/-0.508e-25%
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]                             0.47e1+/-0.5e-31 
y[1] (closed_form)               -0.184622708818835662769277020869374e0+/-0.302e-28 
y[1] (numeric)                   -0.184622708818835662745309098413053e0+/-0.531e-29 
absolute error                   0.23967922456321e-19+/-0.355e-28 
relative error                   0.1298210962760813615047873601610592e-16+/-0.192e-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]                             0.48e1+/-0.5e-31 
y[1] (closed_form)               -0.30948164090087081169979051793908e0+/-0.346e-28 
y[1] (numeric)                   -0.309481640900870811681029065088831e0+/-0.569e-29 
absolute error                   0.18761452850249e-19+/-0.402e-28 
relative error                   0.6062218358296228580345848806315423e-17+/-0.129e-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]                             0.49e1+/-0.5e-31 
y[1] (closed_form)               -0.435226355385763020208016754459773e0+/-0.396e-28 
y[1] (numeric)                   -0.435226355385763020194678283374283e0+/-0.614e-29 
absolute error                   0.1333847108549e-19+/-0.457e-28 
relative error                   0.3064720442691813058825346331190874e-17+/-0.105e-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
Finished!
diff  (  y  ,  x  ,  1  )   =   sin ( x )   *   ( 0.2  *  x  +  0.3 )  ; 
Iterations                      98 
Total Elapsed Time              2 Minutes 8 Seconds
Elapsed Time(since restart)     2 Minutes 7 Seconds
Time to Timeout                 17 Minutes 52 Seconds
Percent Done                    0.1010204081632653061224489795918367e3+/-0.914e-29%