Initializing...
Initialized
Initializing(2)...
PI = 0.314159265358979323846264338327950271e1+/-0.313e-33
E = 0.271828182845904523536028747135266232e1+/-0.256e-32
LOG_E_10 = 0.230258509299404568401799145468436324e1+/-0.5e-32
Initialized(2)
##############ECHO OF PROBLEM#################
##############temp/lin_coshpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   cosh  ( 2.0  *  x  +  3.0 )   ; 
!
#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(2.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_min_h=c(0.000000001) 
#  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=(3.0) 
$glob_subiter_method=3 
$glob_max_iter=100000 
$glob_upper_ratio_limit=c(1.000001) 
$glob_lower_ratio_limit=c(0.999999) 
$glob_look_poles=true 
$glob_h=c(0.001) 
$glob_display_interval=c(0.01) 
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
x = c(x)
return(sinh(c(2.0)*c(x)+c(3.0))/c(2)) 
end

#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1e0+/-0.50e-33 
y[1] (closed_form)               0.612294199828274560709854611645494105e1+/-0.402e-31 
y[1] (numeric)                   0.612294199828274560709854611645494105e1+/-0.462e-31 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.864e-31 
relative error                   0.0e0+/-0.141108637031400824443300269142088244e-29%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   34 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999861961752489754891185964160174e0+/-0.554e-29 
Order of pole (three term test)                   0.225016615526860048079826344587220402e2+/-0.686e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.11e0+/-0.550e-32 
y[1] (closed_form)               0.624704128076928885659370642649133105e1+/-0.163e-30 
y[1] (numeric)                   0.624704128076928885659054878948612155e1+/-0.163e-30 
absolute error                   0.31576370052095e-20+/-0.326e-30 
relative error                   0.505461203678912512095545307054496973e-19+/-0.521e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   20 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999872574610249662899083245391851e0+/-0.553e-29 
Order of pole (three term test)                   0.225015964026121573344915424765242629e2+/-0.685e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.12e0+/-0.105e-31 
y[1] (closed_form)               0.637363946306313415827138960342235495e1+/-0.29e-30 
y[1] (numeric)                   0.637363946306313415826501074660860818e1+/-0.253e-30 
absolute error                   0.637885681374677e-20+/-0.543e-30 
relative error                   0.100081858265028508739199280376747062e-18+/-0.851e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999882371516728770662672741325849e0+/-0.552e-29 
Order of pole (three term test)                   0.225015338070709279430700026529659583e2+/-0.684e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.13e0+/-0.155e-31 
y[1] (closed_form)               0.650278718612519732067448329310551075e1+/-0.427e-30 
y[1] (numeric)                   0.650278718612519732066481834514902551e1+/-0.352e-30 
absolute error                   0.966494795648524e-20+/-0.779e-30 
relative error                   0.148627775749866928014566693928591024e-18+/-0.119e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999891415204651432692563836258354e0+/-0.554e-29 
Order of pole (three term test)                   0.225014736659019927935812640707109683e2+/-0.686e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.14e0+/-0.205e-31 
y[1] (closed_form)               0.66345361107666957696546664360375011e1+/-0.565e-30 
y[1] (numeric)                   0.663453611076669576964164921112380373e1+/-0.461e-30 
absolute error                   0.1301722491369737e-19+/-0.102e-29 
relative error                   0.196203995220896947816113991945216514e-18+/-0.153e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999899763583708378575737235036873e0+/-0.551e-29 
Order of pole (three term test)                   0.225014158828718805691473101776162253e2+/-0.682e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.15e0+/-0.255e-31 
y[1] (closed_form)               0.67689389383141618553431921013724249e1+/-0.715e-30 
y[1] (numeric)                   0.676893893831416185532675507273156123e1+/-0.584e-30 
absolute error                   0.1643702864086367e-19+/-0.129e-29 
relative error                   0.242830210032259418009672162496789623e-18+/-0.19e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.2499990747011135623338532020362002e0+/-0.552e-29 
Order of pole (three term test)                   0.22501360365520053788856424997352186e2+/-0.683e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.16e0+/-0.305e-31 
y[1] (closed_form)               0.69060494316906761588138962960452314e1+/-0.865e-30 
y[1] (numeric)                   0.690604943169067615879397056894015873e1+/-0.715e-30 
absolute error                   0.1992572710507267e-19+/-0.158e-29 
relative error                   0.288525694786326411599336472922239014e-18+/-0.228e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999914584135110527398853633589694e0+/-0.556e-29 
Order of pole (three term test)                   0.225013070250110190937651730799158575e2+/-0.686e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.17e0+/-0.355e-31 
y[1] (closed_form)               0.704592243692175357284795650961088385e1+/-0.102e-29 
y[1] (numeric)                   0.704592243692175357282447179377865695e1+/-0.863e-30 
absolute error                   0.234847158322269e-19+/-0.188e-29 
relative error                   0.333309315316377256206233824961151763e-18+/-0.266e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999921151208523597240791777520643e0+/-0.56e-29 
Order of pole (three term test)                   0.225012557759922308151628161280800984e2+/-0.688e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.18e0+/-0.405e-31 
y[1] (closed_form)               0.71886139050744847979816769376930429e1+/-0.119e-29 
y[1] (numeric)                   0.718861390507448479795456151922777144e1+/-0.983e-30 
absolute error                   0.2711541846527146e-19+/-0.217e-29 
relative error                   0.377199538371792742510017335437911122e-18+/-0.301e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999927213382870339343804518377058e0+/-0.558e-29 
Order of pole (three term test)                   0.225012065364575612955434075233240328e2+/-0.685e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.19e0+/-0.455e-31 
y[1] (closed_form)               0.73341809146387092029615064317829901e1+/-0.136e-29 
y[1] (numeric)                   0.733418091463870920293068714444932153e1+/-0.101e-29 
absolute error                   0.3081928733366857e-19+/-0.237e-29 
relative error                   0.420214441017600206051412057746159723e-18+/-0.323e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999932809476409279601537273213897e0+/-0.562e-29 
Order of pole (three term test)                   0.225011592276161202440382860659427576e2+/-0.693e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.2e0+/-0.505e-31 
y[1] (closed_form)               0.74826816943591718171700882255648114e1+/-0.153e-29 
y[1] (numeric)                   0.748268169435917181713549042153045944e1+/-0.111e-29 
absolute error                   0.3459780403435196e-19+/-0.264e-29 
relative error                   0.462371719759689287299764379093984324e-18+/-0.352e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999937975322942875978797015374845e0+/-0.559e-29 
Order of pole (three term test)                   0.225011137737662138819057742066600701e2+/-0.688e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.21e0+/-0.555e-31 
y[1] (closed_form)               0.763417564652779762225313083579668745e1+/-0.171e-29 
y[1] (numeric)                   0.763417564652779762221467835577230478e1+/-0.121e-29 
absolute error                   0.3845248002438267e-19+/-0.292e-29 
relative error                   0.503688699406225490727675907672730703e-18+/-0.382e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999942744001268455678806142046718e0+/-0.562e-29 
Order of pole (three term test)                   0.225010701021742427823794618067049268e2+/-0.689e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.22e0+/-0.605e-31 
y[1] (closed_form)               0.778872337074540036323154898614084305e1+/-0.19e-29 
y[1] (numeric)                   0.778872337074540036318916412891529027e1+/-0.131e-29 
absolute error                   0.4238485722555278e-19+/-0.321e-29 
relative error                   0.54418234167554525496658557912479272e-18+/-0.412e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999947146046988857728526544309363e0+/-0.557e-29 
Order of pole (three term test)                   0.225010281429583451446848676737946944e2+/-0.689e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.23e0+/-0.655e-31 
y[1] (closed_form)               0.79463866881623308794503278924359382e1+/-0.21e-29 
y[1] (numeric)                   0.79463866881623308794039313837947627e1+/-0.141e-29 
absolute error                   0.463965086411755e-19+/-0.351e-29 
relative error                   0.583869253560137091403722090824338387e-18+/-0.441e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999951209648038923081248317132708e0+/-0.564e-29 
Order of pole (three term test)                   0.225009878289765997759126310978935871e2+/-0.695e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.24e0+/-0.705e-31 
y[1] (closed_form)               0.81072286662077615379094443471516125e1+/-0.23e-29 
y[1] (numeric)                   0.810722866620776153785895530816630607e1+/-0.151e-29 
absolute error                   0.5048903898530643e-19+/-0.381e-29 
relative error                   0.622765695455870128204774601229868065e-18+/-0.469e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.2499995496082517972517392829255827e0+/-0.561e-29 
Order of pole (three term test)                   0.225009490957196102978780731860322182e2+/-0.692e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.25e0+/-0.755e-31 
y[1] (closed_form)               0.827131364381749881247836576450624675e1+/-0.25e-29 
y[1] (numeric)                   0.827131364381749881242370167918159604e1+/-0.161e-29 
absolute error                   0.5466408532465071e-19+/-0.411e-29 
relative error                   0.660887589065251963237330514656307192e-18+/-0.496e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999958423598616197406178871873797e0+/-0.563e-29 
Order of pole (three term test)                   0.225009118812072990599281105386699749e2+/-0.689e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.26e0+/-0.805e-31 
y[1] (closed_form)               0.84387072571704154704011323518866294e1+/-0.272e-29 
y[1] (numeric)                   0.843870725717041547034220903415321688e1+/-0.171e-29 
absolute error                   0.5892331773341252e-19+/-0.443e-29 
relative error                   0.698250525083033972144121873201562729e-18+/-0.524e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999961620141804974533095299962872e0+/-0.567e-29 
Order of pole (three term test)                   0.225008761258897459333422784083568969e2+/-0.697e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.27e0+/-0.855e-31 
y[1] (closed_form)               0.860947646594379728212362899224256235e1+/-0.295e-29 
y[1] (numeric)                   0.860947646594379728206036055228121672e1+/-0.181e-29 
absolute error                   0.6326843996134563e-19+/-0.476e-29 
relative error                   0.734869770672053856148720077607124289e-18+/-0.552e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999964570923437254075212143072415e0+/-0.567e-29 
Order of pole (three term test)                   0.2250084177255191359862622161483957e2+/-0.697e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.28e0+/-0.905e-31 
y[1] (closed_form)               0.878368958009810674320293486110612305e1+/-0.32e-29 
y[1] (numeric)                   0.878368958009810674313523367099084603e1+/-0.191e-29 
absolute error                   0.6770119011527702e-19+/-0.511e-29 
relative error                   0.770760276736929633100620916543203626e-18+/-0.581e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999967294838505776793120670231142e0+/-0.571e-29 
Order of pole (three term test)                   0.225008087662221071233781595270521569e2+/-0.705e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.29e0+/-0.955e-31 
y[1] (closed_form)               0.89614162872018780709224592466590484e1+/-0.345e-29 
y[1] (numeric)                   0.896141628720187807085023590530467612e1+/-0.201e-29 
absolute error                   0.7222334135437228e-19+/-0.546e-29 
relative error                   0.805936685002760552679813367501730997e-18+/-0.609e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999969809329295137606337695244416e0+/-0.567e-29 
Order of pole (three term test)                   0.225007770540840215749477060333567712e2+/-0.7e-27 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.3e0+/-0.1e-30 
y[1] (closed_form)               0.91427276803076737979483007091870237e1+/-0.367e-29 
y[1] (numeric)                   0.914272768030767379787146400658760018e1+/-0.211e-29 
absolute error                   0.7683670259942352e-19+/-0.578e-29 
relative error                   0.840413334905735575556719976252113731e-18+/-0.632e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   19 
h                                0.1e-2+/-0.5e-33 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24999972130497070122824503476931707e0+/-0.572e-29 
Order of pole (three term test)                   0.22500746585392237127897927014324543e2+/-0.705e-27 
NO COMPLEX POLE (six term test) for Equation 1
Finished!
Maximum Time Reached before Solution Completed!
diff  (  y  ,  x  ,  1  )   =   cosh  ( 2.0  *  x  +  3.0 )   ; 
Iterations                      201 
Total Elapsed Time              3 Minutes 2 Seconds
Elapsed Time(since restart)     3 Minutes 1 Seconds
Expected Time Remaining         25 Minutes 29 Seconds
Optimized Time Remaining        25 Minutes 21 Seconds
Expected Total Time             28 Minutes 23 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.10631578947368421052631578947368421e2+/-0.526e-29%