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/expt_c_linpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 , ( 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(1.0) # ELIMINATED in preodein.rb 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=0 #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(7.2134752044448170367996234050095)*expt(c(2.0),(c(0.2)*c(x)+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) 0.102013944659678947654402645457359515e2+/-0.162e-30 y[1] (numeric) 0.102013944659678947654402645457359515e2+/-0.167e-30 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.329e-30 relative error 0.0e0+/-0.322504929201152027719136124420933991e-29% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.101e1+/-0.550e-32 y[1] (closed_form) 0.102155464087043851857345830852115056e2+/-0.168e-30 y[1] (numeric) 0.102155464087043851858067793728116262e2+/-0.297e-30 absolute error 0.721962876001206e-19+/-0.465e-30 relative error 0.706729573844470381643773545493734723e-18+/-0.455e-29% Desired digits 8 Estimated correct digits 13 Correct digits 19 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.102e1+/-0.105e-31 y[1] (closed_form) 0.102297179838042632815689811960274429e2+/-0.177e-30 y[1] (numeric) 0.102297179838042632817134739259399946e2+/-0.482e-30 absolute error 0.1444927299125517e-18+/-0.659e-30 relative error 0.141248009125288944210947140876549775e-17+/-0.644e-29% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.103e1+/-0.155e-31 y[1] (closed_form) 0.102439092185026372894912553941932246e2+/-0.184e-30 y[1] (numeric) 0.102439092185026372897081448600707146e2+/-0.652e-30 absolute error 0.21688946587749e-18+/-0.836e-30 relative error 0.211725290854532734271652931575649616e-17+/-0.816e-29% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.104e1+/-0.205e-31 y[1] (closed_form) 0.102581201400723975054991672011495123e2+/-0.193e-30 y[1] (numeric) 0.102581201400723975057885538357773896e2+/-0.792e-30 absolute error 0.2893866346278773e-18+/-0.985e-30 relative error 0.282104938016289337999371829372111057e-17+/-0.96e-29% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.105e1+/-0.255e-31 y[1] (closed_form) 0.102723507758242686984182010884384117e2+/-0.2e-30 y[1] (numeric) 0.102723507758242686987801854639280807e2+/-0.897e-30 absolute error 0.361984375489669e-18+/-0.109e-29 relative error 0.352387085867034983079907160833401234e-17+/-0.106e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.106e1+/-0.305e-31 y[1] (closed_form) 0.102866011531068625959900800674166359e2+/-0.209e-30 y[1] (numeric) 0.102866011531068625964247628953987377e2+/-0.1e-29 absolute error 0.4346828279821018e-18+/-0.12e-29 relative error 0.422571869475871071817323638227108107e-17+/-0.116e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.107e1+/-0.355e-31 y[1] (closed_form) 0.10300871299306730443772907337830136e2+/-0.217e-30 y[1] (numeric) 0.103008712993067304442803894696480954e2+/-0.1e-29 absolute error 0.5074821318179594e-18+/-0.121e-29 relative error 0.492659423724781395924903401581830233e-17+/-0.117e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.108e1+/-0.405e-31 y[1] (closed_form) 0.103151612418484156369539423393519021e2+/-0.225e-30 y[1] (numeric) 0.103151612418484156375343247662557464e2+/-0.1e-29 absolute error 0.5803824269038443e-18+/-0.122e-29 relative error 0.56264988330889456436276979839402746e-17+/-0.118e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.109e1+/-0.455e-31 y[1] (closed_form) 0.103294710081945064251761596745868986e2+/-0.232e-30 y[1] (numeric) 0.103294710081945064258295435279273439e2+/-0.1e-29 absolute error 0.6533838533404453e-18+/-0.123e-29 relative error 0.632543382736741521996732347471472402e-17+/-0.119e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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+/-0.505e-31 y[1] (closed_form) 0.103438006258456886904798796908387144e2+/-0.241e-30 y[1] (numeric) 0.103438006258456886912063662422615209e2+/-0.1e-29 absolute error 0.7264865514228065e-18+/-0.124e-29 relative error 0.702340056330513810294007173949180824e-17+/-0.119e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.111e1+/-0.555e-31 y[1] (closed_form) 0.10358150122340798798460900021381178e2+/-0.248e-30 y[1] (numeric) 0.10358150122340798799260590683021774e2+/-0.1e-29 absolute error 0.799690661640596e-18+/-0.124e-29 relative error 0.772040038226320821671594087549594566e-17+/-0.119e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.112e1+/-0.605e-31 y[1] (closed_form) 0.103725195252568765227466980953549351e2+/-0.257e-30 y[1] (numeric) 0.103725195252568765236196944200333131e2+/-0.1e-29 absolute error 0.872996324678378e-18+/-0.125e-29 relative error 0.841643462374449620907583680773462502e-17+/-0.12e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.113e1+/-0.655e-31 y[1] (closed_form) 0.103869088622092180428924155289842554e2+/-0.266e-30 y[1] (numeric) 0.103869088622092180438388192104001384e2+/-0.1e-29 absolute error 0.946403681415883e-18+/-0.126e-29 relative error 0.911150462539622202708698521101745377e-17+/-0.121e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.114e1+/-0.705e-31 y[1] (closed_form) 0.104013181608514290157984764098538578e2+/-0.274e-30 y[1] (numeric) 0.104013181608514290168183892827821335e2+/-0.1e-29 absolute error 0.10199128729282757e-17+/-0.127e-29 relative error 0.980561172301249822179975178850906965e-17+/-0.122e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 NO INFO (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] 0.115e1+/-0.755e-31 y[1] (closed_form) 0.10415747448875477720751832780770546e2+/-0.282e-30 y[1] (numeric) 0.104157474488754777218453568212569758e2+/-0.1e-29 absolute error 0.10935240404864298e-17+/-0.128e-29 relative error 0.104987572505369325590403992338727673e-16+/-0.122e-28% Desired digits 8 Estimated correct digits 13 Correct digits 17 h 0.1e-2+/-0.5e-33 NO INFO (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! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = expt ( 2.0 , ( 0.2 * x + 0.3 ) ) ; Iterations 152 Total Elapsed Time 3 Minutes 2 Seconds Elapsed Time(since restart) 3 Minutes 1 Seconds Expected Time Remaining 1 Hours 16 Minutes 16 Seconds Optimized Time Remaining 1 Hours 15 Minutes 51 Seconds Expected Total Time 1 Hours 18 Minutes 53 Seconds Time to Timeout 0.0 Seconds Percent Done 0.3825e1+/-0.193e-29%