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_tanhpostode.ode################# diff ( y , x , 1 ) = tanh ( 3.0 * 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(1.1) x_end=c(2.0) $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 #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(ln(cosh(c(3.0)*c(x) + c(1.0)))/c(3.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.11e1+/-0.50e-33 y[1] (closed_form) 0.120234563609611014556404533084095129e1+/-0.31e-29 y[1] (numeric) 0.120234563609611014556404533084095129e1+/-0.31e-29 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.62e-29 relative error 0.0e0+/-0.51565871026327737783316455203814897e-27% 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 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+/-0.550e-32 y[1] (closed_form) 0.121234206290587882107288873006178762e1+/-0.129e-28 y[1] (numeric) 0.121234206290587882107288873221098251e1+/-0.31e-29 absolute error 0.214919489e-26+/-0.160e-28 relative error 0.177276278350729345529753658899562703e-24+/-0.131e-26% 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 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+/-0.105e-31 y[1] (closed_form) 0.12223386977670247292148263439033091e1+/-0.229e-28 y[1] (numeric) 0.122233869776702472921482634807662404e1+/-0.31e-29 absolute error 0.417331494e-26+/-0.260e-28 relative error 0.341420503795211214300686193762303962e-24+/-0.212e-26% 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 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+/-0.155e-31 y[1] (closed_form) 0.12323355285675385773072694479406617e1+/-0.328e-28 y[1] (numeric) 0.123233552856753857730726945402029609e1+/-0.31e-29 absolute error 0.607963439e-26+/-0.359e-28 relative error 0.493342458207541934264205206928632068e-24+/-0.291e-26% 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 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+/-0.205e-31 y[1] (closed_form) 0.124233254390031192545992286137378756e1+/-0.423e-28 y[1] (numeric) 0.124233254390031192545992286924879249e1+/-0.31e-29 absolute error 0.787500493e-26+/-0.454e-28 relative error 0.633888645086634016810803979006758345e-24+/-0.365e-26% 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 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+/-0.255e-31 y[1] (closed_form) 0.125232973302213756052776278630248832e1+/-0.523e-28 y[1] (numeric) 0.125232973302213756052776279586836852e1+/-0.31e-29 absolute error 0.95658802e-26+/-0.554e-28 relative error 0.763846768767160059053298041571288931e-24+/-0.442e-26% 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.116e1+/-0.305e-31 y[1] (closed_form) 0.126232708581509178294894172476677357e1+/-0.626e-28 y[1] (numeric) 0.126232708581509178294894173592511242e1+/-0.31e-29 absolute error 0.1115833885e-25+/-0.657e-28 relative error 0.883949887108300231456556132494866019e-24+/-0.52e-26% 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.117e1+/-0.355e-31 y[1] (closed_form) 0.12723245927501605409519775337924521e1+/-0.72e-28 y[1] (numeric) 0.127232459275016054095197754645055843e1+/-0.31e-29 absolute error 0.1265810633e-25+/-0.751e-28 relative error 0.994880268928795553201038687011013765e-24+/-0.59e-26% 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.118e1+/-0.405e-31 y[1] (closed_form) 0.128232224485297931391991240142457565e1+/-0.816e-28 y[1] (numeric) 0.128232224485297931391991241549515096e1+/-0.31e-29 absolute error 0.1407057531e-25+/-0.847e-28 relative error 0.10972729644577926073891950957220193e-23+/-0.66e-26% 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.119e1+/-0.455e-31 y[1] (closed_form) 0.129232003367156415826583583774463544e1+/-0.916e-28 y[1] (numeric) 0.129232003367156415826583585314546044e1+/-0.31e-29 absolute error 0.15400825e-25+/-0.947e-28 relative error 0.119171912519573558974507330219456867e-23+/-0.732e-26% 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 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+/-0.505e-31 y[1] (closed_form) 0.130231795124591841061423445733853215e1+/-0.101e-27 y[1] (numeric) 0.130231795124591841061423447399217146e1+/-0.31e-29 absolute error 0.1665363931e-25+/-0.104e-27 relative error 0.127876908201008675170250788389040328e-23+/-0.798e-26% 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.121e1+/-0.555e-31 y[1] (closed_form) 0.131231599007940621861946279019618798e1+/-0.112e-27 y[1] (numeric) 0.131231599007940621861946280802971212e1+/-0.31e-29 absolute error 0.1783352414e-25+/-0.115e-27 relative error 0.135893521642763195555870692000713755e-23+/-0.876e-26% 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.122e1+/-0.605e-31 y[1] (closed_form) 0.132231414311179036229199726837242575e1+/-0.122e-27 y[1] (numeric) 0.132231414311179036229199728731714905e1+/-0.31e-29 absolute error 0.189447233e-25+/-0.125e-27 relative error 0.143269459823045888106335525533631729e-23+/-0.945e-26% 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.123e1+/-0.655e-31 y[1] (closed_form) 0.133231240369383775989944413591618738e1+/-0.132e-27 y[1] (numeric) 0.13323124036938377598994441559074212e1+/-0.31e-29 absolute error 0.1999123382e-25+/-0.135e-27 relative error 0.150049145865296156638720396614594907e-23+/-0.101e-25% 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.124e1+/-0.705e-31 y[1] (closed_form) 0.13423107655634016428291334469211379e1+/-0.142e-27 y[1] (numeric) 0.134231076556340164282913346789795828e1+/-0.31e-29 absolute error 0.2097682038e-25+/-0.145e-27 relative error 0.156273948761749668703755357321105464e-23+/-0.108e-25% 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.125e1+/-0.755e-31 y[1] (closed_form) 0.135230922282289465258228529319054023e1+/-0.152e-27 y[1] (numeric) 0.135230922282289465258228531509556883e1+/-0.31e-29 absolute error 0.219050286e-25+/-0.155e-27 relative error 0.161982394487217032203300951659780186e-23+/-0.114e-25% 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 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 ) = tanh ( 3.0 * x + 1.0 ) ; Iterations 154 Total Elapsed Time 3 Minutes 2 Seconds Elapsed Time(since restart) 3 Minutes 1 Seconds Expected Time Remaining 14 Minutes 34 Seconds Optimized Time Remaining 14 Minutes 29 Seconds Expected Total Time 17 Minutes 31 Seconds Time to Timeout 0.0 Seconds Percent Done 0.172222222222222222222222222222222222e2+/-0.874e-29%