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/add_full_linpostode.ode################# diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) + ( 0.1 * x + 0.2 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(1.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_display_interval=c(0.1) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(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(0.05) * c(x) * c(x) + c(0.2) * c(x) - cos(c(0.3) * c(x) + c(0.1)) / c(0.3)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e1+/-0.50e-33 y[1] (closed_form) -0.28202033133429502759950891068393386e1+/-0.837e-32 y[1] (numeric) -0.28202033133429502759950891068393386e1+/-0.111e-31 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1947e-31 relative error 0.0e0+/-0.690375757942113814995519522216747908e-30% Desired digits 8 Estimated correct digits 13 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 0.11955934848325379606720156113753205e1+/-0.37e-28 Order of pole (three term test) 0.321516466453264172975159213070138268e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.101e1+/-0.550e-32 y[1] (closed_form) -0.28132903198565881669326461707354517e1+/-0.119e-31 y[1] (numeric) -0.28132903198565881669326461648755321e1+/-0.701e-31 absolute error 0.58599196e-26+/-0.820e-31 relative error 0.20829416568350181794174235926070569e-24+/-0.291e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 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 0.12025389895055172833172561438937615e1+/-0.371e-28 Order of pole (three term test) 0.321538049710283025379294557853624009e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.102e1+/-0.105e-31 y[1] (closed_form) -0.28063397297330448357764857861479936e1+/-0.154e-31 y[1] (numeric) -0.28063397297330448357764857743867569e1+/-0.12e-30 absolute error 0.117612367e-25+/-0.135e-30 relative error 0.41909525690671800563961968523814019e-24+/-0.481e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 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 0.12094412029047484623551526803413885e1+/-0.373e-28 Order of pole (three term test) 0.321559757597138417411897729111143967e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.103e1+/-0.155e-31 y[1] (closed_form) -0.27993515783926048291912240097544729e1+/-0.192e-31 y[1] (numeric) -0.27993515783926048291912239920505745e1+/-0.152e-30 absolute error 0.177038984e-25+/-0.171e-30 relative error 0.632428542975856782469968506013382752e-24+/-0.61e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 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 0.12162998765512945636158521220503423e1+/-0.376e-28 Order of pole (three term test) 0.321581589332348766727822494814157173e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.104e1+/-0.205e-31 y[1] (closed_form) -0.27923259015036034598733975190410245e1+/-0.229e-31 y[1] (numeric) -0.27923259015036034598733974953531735e1+/-0.186e-30 absolute error 0.23687851e-25+/-0.208e-30 relative error 0.848319710362054639976234926804537564e-24+/-0.744e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 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 0.12231147635336450473046545105494275e1+/-0.377e-28 Order of pole (three term test) 0.321603544129973963579066708070930624e2+/-0.123e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.105e1+/-0.255e-31 y[1] (closed_form) -0.27852627349821057917744105346046458e1+/-0.267e-31 y[1] (numeric) -0.27852627349821057917744105048916048e1+/-0.22e-30 absolute error 0.29713041e-25+/-0.246e-30 relative error 0.106679490687943643858707604447387082e-23+/-0.883e-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 0.12298856185166045557150344978907302e1+/-0.383e-28 Order of pole (three term test) 0.321625621199643664573841805223253306e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.106e1+/-0.305e-31 y[1] (closed_form) -0.27781621149915833957573926239668635e1+/-0.303e-31 y[1] (numeric) -0.27781621149915833957573925881874499e1+/-0.252e-30 absolute error 0.357794136e-25+/-0.282e-30 relative error 0.128788069662768386794994816456428904e-23+/-0.101e-28% 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 0.12366121977501249537653494780077392e1+/-0.383e-28 Order of pole (three term test) 0.321647819746585745923575015594771813e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.107e1+/-0.355e-31 y[1] (closed_form) -0.2771024077942588878597164293279934e1+/-0.342e-31 y[1] (numeric) -0.27710240779425888785971642513930192e1+/-0.286e-30 absolute error 0.418869148e-25+/-0.32e-30 relative error 0.151160414423753083282946863629155001e-23+/-0.115e-28% 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 0.12432942590780803044067289168456176e1+/-0.385e-28 Order of pole (three term test) 0.321670138971654915153530463758382475e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.108e1+/-0.405e-31 y[1] (closed_form) -0.27638486604924281882525471703066605e1+/-0.379e-31 y[1] (numeric) -0.27638486604924281882525471222711713e1+/-0.32e-30 absolute error 0.480354892e-25+/-0.357e-30 relative error 0.173799274492264109042123619674812726e-23+/-0.129e-28% Desired digits 8 Estimated correct digits 12 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 0.12499315619469844630039778934546179e1+/-0.387e-28 Order of pole (three term test) 0.321692578071361480247030672024036148e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.109e1+/-0.455e-31 y[1] (closed_form) -0.27566358995448306983602691159434329e1+/-0.419e-31 y[1] (numeric) -0.27566358995448306983602690617183511e1+/-0.352e-30 absolute error 0.542250818e-25+/-0.393e-30 relative error 0.196707449862905432154254046457156013e-23+/-0.142e-28% Desired digits 8 Estimated correct digits 12 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 0.12565238674146509768570386385825616e1+/-0.387e-28 Order of pole (three term test) 0.321715136237900275187592378236710793e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e1+/-0.505e-31 y[1] (closed_form) -0.27493858322496170749197015922114876e1+/-0.461e-31 y[1] (numeric) -0.27493858322496170749197015317558511e1+/-0.386e-30 absolute error 0.604556365e-25+/-0.432e-30 relative error 0.219887786540798706608421228615682029e-23+/-0.157e-28% Desired digits 8 Estimated correct digits 12 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 0.1263070938158794978107562566177068e1+/-0.389e-28 Order of pole (three term test) 0.321737812659179740857660275949911403e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.111e1+/-0.555e-31 y[1] (closed_form) -0.27420984960023649281576268821808703e1+/-0.501e-31 y[1] (numeric) -0.27420984960023649281576268154537727e1+/-0.42e-30 absolute error 0.667270976e-25+/-0.47e-30 relative error 0.243343182957431048769539685154747483e-23+/-0.171e-28% Desired digits 8 Estimated correct digits 12 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 0.12695725384855767603633771645235811e1+/-0.394e-28 Order of pole (three term test) 0.321760606518851160247029463293342994e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.112e1+/-0.605e-31 y[1] (closed_form) -0.27347739284440722525821661220728866e1+/-0.541e-31 y[1] (numeric) -0.27347739284440722525821660490334781e1+/-0.452e-30 absolute error 0.730394085e-25+/-0.506e-30 relative error 0.267076586259381180822724810760498316e-23+/-0.185e-28% Desired digits 8 Estimated correct digits 12 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 0.12760284343380867314730119713794047e1+/-0.395e-28 Order of pole (three term test) 0.32178351699633804691849225472531643e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.113e1+/-0.655e-31 y[1] (closed_form) -0.27274121674608186582549053884097971e1+/-0.582e-31 y[1] (numeric) -0.27274121674608186582549053090172847e1+/-0.486e-30 absolute error 0.793925124e-25+/-0.544e-30 relative error 0.291090995879487047052074907709328515e-23+/-0.199e-28% Desired digits 8 Estimated correct digits 12 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 0.12824383933047714369929001239687362e1+/-0.395e-28 Order of pole (three term test) 0.321806543266865685672727766335142747e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.114e1+/-0.705e-31 y[1] (closed_form) -0.27200132511834243963301361043887459e1+/-0.572e-31 y[1] (numeric) -0.27200132511834243963301360186023938e1+/-0.52e-30 absolute error 0.857863521e-25+/-0.577e-30 relative error 0.315389463866310362317215324506279318e-23+/-0.212e-28% Desired digits 8 Estimated correct digits 12 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 0.12888021846278003510113206740254547e1+/-0.399e-28 Order of pole (three term test) 0.321829684501490824348973529058422946e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.115e1+/-0.755e-31 y[1] (closed_form) -0.2712577217987107181929977610739344e1+/-0.662e-31 y[1] (numeric) -0.2712577217987107181929977518518474e1+/-0.552e-30 absolute error 0.9222087e-25+/-0.618e-30 relative error 0.339975095965870209951983150268123998e-23+/-0.227e-28% Desired digits 8 Estimated correct digits 12 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 0.12951195792113731331255156182850856e1+/-0.405e-28 Order of pole (three term test) 0.321852939867131515692577512337779495e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.116e1+/-0.805e-31 y[1] (closed_form) -0.27051041064911368174439737085168744e1+/-0.652e-31 y[1] (numeric) -0.27051041064911368174439736098208661e1+/-0.586e-30 absolute error 0.986960083e-25+/-0.651e-30 relative error 0.364851053470253471552543135481458267e-23+/-0.24e-28% Desired digits 8 Estimated correct digits 12 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 0.13013903496299670525116276508898791e1+/-0.404e-28 Order of pole (three term test) 0.321876308526597108215126549274004394e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.117e1+/-0.855e-31 y[1] (closed_form) -0.26975939555584876193615511461702026e1+/-0.698e-31 y[1] (numeric) -0.2697593955558487619361551040958494e1+/-0.62e-30 absolute error 0.1052117086e-24+/-0.689e-30 relative error 0.390020552882718166499766925455916784e-23+/-0.255e-28% Desired digits 8 Estimated correct digits 12 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 0.13076142701365242821810828406787327e1+/-0.405e-28 Order of pole (three term test) 0.321899789638618384967483437653322844e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.118e1+/-0.905e-31 y[1] (closed_form) -0.26900468042954886517654962126398343e1+/-0.788e-31 y[1] (numeric) -0.26900468042954886517654961008719219e1+/-0.66e-30 absolute error 0.1117679124e-24+/-0.738e-30 relative error 0.415486868933016655896339368829380413e-23+/-0.274e-28% Desired digits 8 Estimated correct digits 12 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 0.13137911166705787686817092303043343e1+/-0.407e-28 Order of pole (three term test) 0.32192338235787784914074014249871582e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.119e1+/-0.955e-31 y[1] (closed_form) -0.268246269205147176963434563427357e1+/-0.786e-31 y[1] (numeric) -0.26824626920514717696343455159090094e1+/-0.692e-30 absolute error 0.1183645606e-24+/-0.77e-30 relative error 0.441253333926065246482007952030630807e-23+/-0.287e-28% Desired digits 8 Estimated correct digits 12 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 0.13199206668663223846771598177825868e1+/-0.408e-28 Order of pole (three term test) 0.321947085835040155404808736670985557e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e1+/-0.1e-30 y[1] (closed_form) -0.26748416584184174751212996783346887e1+/-0.826e-31 y[1] (numeric) -0.26748416584184174751212995533330948e1+/-0.726e-30 absolute error 0.1250015939e-24+/-0.808e-30 relative error 0.467323340454892731381863449751864426e-23+/-0.302e-28% Desired digits 8 Estimated correct digits 12 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 0.13260027000606100740240182046803323e1+/-0.409e-28 Order of pole (three term test) 0.321970899216782685889125176826324089e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.121e1+/-0.1e-30 y[1] (closed_form) -0.26671837432305985899969485624153289e1+/-0.830e-31 y[1] (numeric) -0.26671837432305985899969484307363764e1+/-0.76e-30 absolute error 0.1316789525e-24+/-0.843e-30 relative error 0.493700341546417935465942175363882472e-23+/-0.316e-28% Desired digits 8 Estimated correct digits 12 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 0.13320369973009037011622286897690783e1+/-0.415e-28 Order of pole (three term test) 0.321994821645826269704733911596401914e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.122e1+/-0.1e-30 y[1] (closed_form) -0.26594889865642217474627577800070928e1+/-0.835e-31 y[1] (numeric) -0.26594889865642217474627576416105163e1+/-0.792e-30 absolute error 0.1383965765e-24+/-0.875e-30 relative error 0.52038785345298130742714246253267079e-23+/-0.329e-28% Desired digits 8 Estimated correct digits 12 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 0.13380233413531543188411306873661599e1+/-0.416e-28 Order of pole (three term test) 0.322018852260966044901853844649483893e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.123e1+/-0.1e-30 y[1] (closed_form) -0.26517574287370667065618836009314085e1+/-0.839e-31 y[1] (numeric) -0.26517574287370667065618834557770034e1+/-0.826e-30 absolute error 0.1451544051e-24+/-0.909e-30 relative error 0.547389453978570116010365172997583016e-23+/-0.342e-28% Desired digits 8 Estimated correct digits 12 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 0.13439615167096225704203106170173362e1+/-0.417e-28 Order of pole (three term test) 0.322042990197102461751898513345317876e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.124e1+/-0.1e-30 y[1] (closed_form) -0.26439891103081234924334866146631528e1+/-0.843e-31 y[1] (numeric) -0.2643989110308123492433486462710775e1+/-0.86e-30 absolute error 0.1519523778e-24+/-0.944e-30 relative error 0.574708788351597530218605279403276899e-23+/-0.357e-28% Desired digits 8 Estimated correct digits 12 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 0.13498513095966369452116330362879467e1+/-0.422e-28 Order of pole (three term test) 0.322067234585272426237835678607802477e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) + ( 0.1 * x + 0.2 ) ; Iterations 246 Total Elapsed Time 3 Minutes 0 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 45 Minutes 34 Seconds Optimized Time Remaining 45 Minutes 34 Seconds Expected Total Time 48 Minutes 34 Seconds Time to Timeout 0 Seconds Percent Done 0.6175e1+/-0.25e-29%