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/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=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(2.0) - cos(c(x)) - 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-33 y[1] (closed_form) 0.90499583472197423390443801219612971e0+/-0.11e-32 y[1] (numeric) 0.90499583472197423390443801219612971e0+/-0.2e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.31e-32 relative error 0.0e0+/-0.342543013024182352857712727937434673e-30% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.99334665397530610648363801053705548e-1+/-0.306e-29 Order of pole (three term test) 0.320099667110793791850496790381035561e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-32 y[1] (closed_form) 0.89604390204330314964216038858015194e0+/-0.666e-32 y[1] (numeric) 0.896043902043303149642160405965065132e0+/-0.124e-31 absolute error 0.17384913192e-25+/-0.19e-31 relative error 0.19401854253297332971453088001219013e-23+/-0.212e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 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 0.10911481154043466316781154544956881e0+/-0.338e-29 Order of pole (three term test) 0.320120512753346972560351631195229341e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.105e-31 y[1] (closed_form) 0.88719136414613374775190183214236614e0+/-0.123e-31 y[1] (numeric) 0.887191364146133747751901868568863557e0+/-0.216e-31 absolute error 0.36426497417e-25+/-0.339e-31 relative error 0.410582191048018458464126465556354597e-23+/-0.382e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 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 0.11885131321356729764033333947783273e0+/-0.367e-29 Order of pole (three term test) 0.320143310125739851984127017249788588e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.155e-31 y[1] (closed_form) 0.8784381062852119604054878288481854e0+/-0.18e-31 y[1] (numeric) 0.878438106285211960405487885971033939e0+/-0.296e-31 absolute error 0.57122848539e-25+/-0.476e-31 relative error 0.650277442773564169288307648475699558e-23+/-0.541e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 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 0.12854027594607755239897502452549271e0+/-0.397e-29 Order of pole (three term test) 0.320168050109327433882452925342731811e2+/-0.123e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.205e-31 y[1] (closed_form) 0.86978400378736282810105177298859972e0+/-0.239e-31 y[1] (numeric) 0.869784003787362828101051852460496654e0+/-0.388e-31 absolute error 0.79471896934e-25+/-0.627e-31 relative error 0.913696924615189784546716554496105955e-23+/-0.72e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 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 0.13817782428205687063834998883371357e0+/-0.429e-29 Order of pole (three term test) 0.320194722808446145272214778628477857e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.255e-31 y[1] (closed_form) 0.86122892206395771326501900134566104e0+/-0.298e-31 y[1] (numeric) 0.861228922063957713265019104817068763e0+/-0.468e-31 absolute error 0.103471407723e-24+/-0.766e-31 relative error 0.120143907237843401676125979734242622e-22+/-0.889e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1477601033306697917808794383233679e0+/-0.459e-29 Order of pole (three term test) 0.320223317554371969915324938706659671e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.305e-31 y[1] (closed_form) 0.85277271662437305095904747598166231e0+/-0.359e-31 y[1] (numeric) 0.852772716624373050959047605100643267e0+/-0.548e-31 absolute error 0.129118980957e-24+/-0.907e-31 relative error 0.151410778557862761457934004932154303e-22+/-0.106e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15728328030805888780186016195905341e0+/-0.493e-29 Order of pole (three term test) 0.320253822909587795677461042395136859e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.355e-31 y[1] (closed_form) 0.84441523309043929082807000978749688e0+/-0.42e-31 y[1] (numeric) 0.844415233090439290828070166199548798e0+/-0.64e-31 absolute error 0.156412051918e-24+/-0.106e-30 relative error 0.185231205914599862622155445288730556e-22+/-0.125e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16674354607040720309728813358811778e0+/-0.518e-29 Order of pole (three term test) 0.32028622667235826887472489399667019e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.405e-31 y[1] (closed_form) 0.83615630721187858540728397538846725e0+/-0.483e-31 y[1] (numeric) 0.836156307211878585407284160736358564e0+/-0.72e-31 absolute error 0.185347891314e-24+/-0.12e-30 relative error 0.221666558890207118978584117716169555e-22+/-0.143e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17613711663754499335905080910173732e0+/-0.546e-29 Order of pole (three term test) 0.320320515881610325727480494150956927e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.455e-31 y[1] (closed_form) 0.82799576488272968103212249581008622e0+/-0.547e-31 y[1] (numeric) 0.827995764882729681032122711733691806e0+/-0.812e-31 absolute error 0.215923605586e-24+/-0.135e-30 relative error 0.260778635282731903513556938177434379e-22+/-0.163e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18546023470649134107642369807488336e0+/-0.578e-29 Order of pole (three term test) 0.320356676822117448773862555128957059e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.505e-31 y[1] (closed_form) 0.81993342215875836887580348325183113e0+/-0.610e-31 y[1] (numeric) 0.81993342215875836887580373138796832e0+/-0.92e-31 absolute error 0.24813613719e-24+/-0.153e-30 relative error 0.302629616605572416456746839500322272e-22+/-0.186e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19470917115432525119795641171482877e0+/-0.607e-29 Order of pole (three term test) 0.32039469502998557460951259636533566e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21e0+/-0.555e-31 y[1] (closed_form) 0.81196908527585175508386143190065369e0+/-0.676e-31 y[1] (numeric) 0.811969085275851755083861713882918595e0+/-0.1e-30 absolute error 0.281982264905e-24+/-0.167e-30 relative error 0.347282020976453364606332220327391088e-22+/-0.205e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20388022652978509855349753228754578e0+/-0.637e-29 Order of pole (three term test) 0.320434555298438458663591187048970269e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22e0+/-0.605e-31 y[1] (closed_form) 0.80410255066939451059397701895530364e0+/-0.744e-31 y[1] (numeric) 0.804102550669394510593977336413907779e0+/-0.1e-30 absolute error 0.317458604139e-24+/-0.174e-30 relative error 0.394798653324409863735347513866868017e-22+/-0.216e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21296973253299980714511695432397071e0+/-0.671e-29 Order of pole (three term test) 0.320476241683900182942293099379618179e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23e0+/-0.655e-31 y[1] (closed_form) 0.79633360499462516303226935192840171e0+/-0.811e-31 y[1] (numeric) 0.796333604994625163032269706490008992e0+/-0.1e-30 absolute error 0.354561607282e-24+/-0.181e-30 relative error 0.445242552942862565913143986898269403e-22+/-0.227e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22197405348275988856469532376352514e0+/-0.692e-29 Order of pole (three term test) 0.320519737512372373817866988342629589e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24e0+/-0.705e-31 y[1] (closed_form) 0.78866202514797039507382475303662097e0+/-0.879e-31 y[1] (numeric) 0.788662025147970395073825146324185043e0+/-0.1e-30 absolute error 0.393287564073e-24+/-0.187e-30 relative error 0.498676938323752277056866071198162243e-22+/-0.237e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23088958777074145068616653785631307e0+/-0.717e-29 Order of pole (three term test) 0.320565025386103579061052426923590901e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25e0+/-0.755e-31 y[1] (closed_form) 0.7810875782893552158554045505058108e0+/-0.949e-31 y[1] (numeric) 0.781087578289355215855404984138412751e0+/-0.1e-30 absolute error 0.433632601951e-24+/-0.194e-30 relative error 0.555165149215009111838023830787888062e-22+/-0.248e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23971276930210150641833133056688212e0+/-0.749e-29 Order of pole (three term test) 0.320612087190548136455045163382200024e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.26e0+/-0.805e-31 y[1] (closed_form) 0.77361002186548677444178235354993509e0+/-0.102e-30 y[1] (numeric) 0.773610021865486774441782829142621525e0+/-0.1e-30 absolute error 0.475592686435e-24+/-0.202e-30 relative error 0.614770585944780811660358671629741824e-22+/-0.261e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24844006892186836360242216348788022e0+/-0.772e-29 Order of pole (three term test) 0.320660904101611750536328692204517106e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27e0+/-0.855e-31 y[1] (closed_form) 0.76622910363410948698376729050779696e0+/-0.109e-30 y[1] (numeric) 0.766229103634109486983767809671418522e0+/-0.1e-30 absolute error 0.519163621562e-24+/-0.209e-30 relative error 0.677556646047096050817367512045894069e-22+/-0.272e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25706799582655655891674534901090818e0+/-0.811e-29 Order of pole (three term test) 0.320711456593180879328282207881946158e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28e0+/-0.905e-31 y[1] (closed_form) 0.75894456168922905207540994640352295e0+/-0.116e-30 y[1] (numeric) 0.758944561689229052075410510744573222e0+/-0.1e-30 absolute error 0.564341050272e-24+/-0.216e-30 relative error 0.743586658050374344188782574962929605e-22+/-0.284e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26559309896044170863612004846348804e0+/-0.829e-29 Order of pole (three term test) 0.320763724444932919413261982894223202e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29e0+/-0.955e-31 y[1] (closed_form) 0.75175612448730283192987522206813788e0+/-0.124e-30 y[1] (numeric) 0.751756124487302831929875833188592735e0+/-0.1e-30 absolute error 0.611120454855e-24+/-0.224e-30 relative error 0.812923812588535592670975643148773183e-22+/-0.297e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27401196839593678492256015437348821e0+/-0.854e-29 Order of pole (three term test) 0.320817686750424065373261749830763721e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3e0+/-0.1e-30 y[1] (closed_form) 0.74466351087439398035768977243195011e0+/-0.13e-30 y[1] (numeric) 0.744663510874393980357690431929107527e0+/-0.1e-30 absolute error 0.659497157417e-24+/-0.23e-30 relative error 0.88563109080315954434789311230600967e-22+/-0.308e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28232123669751768554145440237781541e0+/-0.879e-29 Order of pole (three term test) 0.320873321925451608563212511533280901e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31e0+/-0.1e-30 y[1] (closed_form) 0.73766643011428660215719456379779225e0+/-0.131e-30 y[1] (numeric) 0.737666430114286602157195273264112579e0+/-0.1e-30 absolute error 0.709466320329e-24+/-0.231e-30 relative error 0.961771190020240501712820521259116121e-22+/-0.313e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29051758026865254496079002925638201e0+/-0.907e-29 Order of pole (three term test) 0.32093060771668733040890828968419136e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32e0+/-0.1e-30 y[1] (closed_form) 0.73076458191755913242469272623390826e0+/-0.132e-30 y[1] (numeric) 0.730764581917559132424693487256854968e0+/-0.1e-30 absolute error 0.761022946708e-24+/-0.232e-30 relative error 0.104140644680813834375648628727719492e-21+/-0.317e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29859772068119603306779831616426061e0+/-0.936e-29 Order of pole (three term test) 0.320989521210578536987349017357221811e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33e0+/-0.1e-30 y[1] (closed_form) 0.72395765647161302847058942163379474e0+/-0.133e-30 y[1] (numeric) 0.723957656471613028470590235795675667e0+/-0.1e-30 absolute error 0.814161880927e-24+/-0.233e-30 relative error 0.112459875746741819686831105766489631e-21+/-0.321e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3065584259867169015085563396279878e0+/-0.966e-29 Order of pole (three term test) 0.321050038842513174594347317040789861e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34e0+/-0.1e-30 y[1] (closed_form) 0.71724533447165377149735593997342286e0+/-0.135e-30 y[1] (numeric) 0.717245334471653771497356808851232029e0+/-0.1e-30 absolute error 0.868877809169e-24+/-0.235e-30 relative error 0.121140949603951573753319269245069721e-21+/-0.327e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31439651200923426411614325057458898e0+/-0.977e-29 Order of pole (three term test) 0.321112136406245360375372032973193397e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) - 1 , 0 ; Iterations 244 Total Elapsed Time 3 Minutes 0 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 57 Minutes 0 Seconds Optimized Time Remaining 57 Minutes 0 Seconds Expected Total Time 1 Hours 0 Minutes 0 Seconds Time to Timeout 0 Seconds Percent Done 0.5e1+/-0.204e-29%