Initializing... Initialized Initializing(2)... PI = 0.3141592653589793238462643383279486e1+/-0.313e-31 E = 0.2718281828459045235360287471352649e1+/-0.256e-30 LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/expt_c_sinpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) ; ! #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(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=(20.0) $glob_subiter_method=3 $glob_max_iter=1000 $glob_upper_ratio_limit=c(1.11) $glob_lower_ratio_limit=c(0.99) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(0.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.50e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.0e0+/-0.50000000000000000000000000000005e-31 absolute error 0.0e0+/-0.50e-31 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits -16 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.2e0+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1090350289317294395431705687332623e0+/-0.728e-31 absolute error 0.1090350289317294395431705687332623e0+/-0.728e-31 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.3e0+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2257625101322646165937786816770643e0+/-0.212e-30 absolute error 0.2257625101322646165937786816770643e0+/-0.212e-30 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.4e0+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3505320183608109953207262832330434e0+/-0.45e-30 absolute error 0.3505320183608109953207262832330434e0+/-0.45e-30 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.5e0+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4836029138921717133629793596379418e0+/-0.767e-30 absolute error 0.4836029138921717133629793596379418e0+/-0.767e-30 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.6e0+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.625122836421074001076762802686355e0+/-0.115e-29 absolute error 0.625122836421074001076762802686355e0+/-0.115e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.7e0+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.7751068622891614794807652079499243e0+/-0.148e-29 absolute error 0.7751068622891614794807652079499243e0+/-0.148e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.8e0+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.9334187277808589500674514649460387e0+/-0.188e-29 absolute error 0.9334187277808589500674514649460387e0+/-0.188e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.9e0+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1099755650188894866703082069844763e1+/-0.25e-29 absolute error 0.1099755650188894866703082069844763e1+/-0.25e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.1e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1273638285610703424813351039059103e1+/-0.305e-29 absolute error 0.1273638285610703424813351039059103e1+/-0.305e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1454407220339750206316648232704628e1+/-0.372e-29 absolute error 0.1454407220339750206316648232704628e1+/-0.372e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.12e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1641227088610739979247002419618312e1+/-0.46e-29 absolute error 0.1641227088610739979247002419618312e1+/-0.46e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.13e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1833098951119374589706386024143568e1+/-0.541e-29 absolute error 0.1833098951119374589706386024143568e1+/-0.541e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.14e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2028880987091915029701889284708211e1+/-0.636e-29 absolute error 0.2028880987091915029701889284708211e1+/-0.636e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.15e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2227316900681947588248987839672021e1+/-0.777e-29 absolute error 0.2227316900681947588248987839672021e1+/-0.777e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.16e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2427070789652354361665426143255281e1+/-0.894e-29 absolute error 0.2427070789652354361665426143255281e1+/-0.894e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.17e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2626766647454249798802389666770367e1+/-0.1e-28 absolute error 0.2626766647454249798802389666770367e1+/-0.1e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.18e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2825030241285980373287560397983816e1+/-0.107e-28 absolute error 0.2825030241285980373287560397983816e1+/-0.107e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.19e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3020530884485764730764649538687765e1+/-0.113e-28 absolute error 0.3020530884485764730764649538687765e1+/-0.113e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.2e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3212020631645897207352524402185834e1+/-0.119e-28 absolute error 0.3212020631645897207352524402185834e1+/-0.119e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.21e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3398368667784408753666285909214924e1+/-0.125e-28 absolute error 0.3398368667784408753666285909214924e1+/-0.125e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.22e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3578589106347018017457663299103989e1+/-0.131e-28 absolute error 0.3578589106347018017457663299103989e1+/-0.131e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.23e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3751860996964094187357536623319095e1+/-0.137e-28 absolute error 0.3751860996964094187357536623319095e1+/-0.137e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.24e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3917539999564246952531207061509604e1+/-0.142e-28 absolute error 0.3917539999564246952531207061509604e1+/-0.142e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.25e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4075161830033008157653811127832299e1+/-0.147e-28 absolute error 0.4075161830033008157653811127832299e1+/-0.147e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.26e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4224438155651244031669496104995586e1+/-0.153e-28 absolute error 0.4224438155651244031669496104995586e1+/-0.153e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.27e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.436524606479867618778330348676872e1+/-0.161e-28 absolute error 0.436524606479867618778330348676872e1+/-0.161e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.28e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4497612525896986582908737793684374e1+/-0.17e-28 absolute error 0.4497612525896986582908737793684374e1+/-0.17e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.29e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4621695379386106435338779943354401e1+/-0.176e-28 absolute error 0.4621695379386106435338779943354401e1+/-0.176e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.3e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4737762387822492402699459039342218e1+/-0.184e-28 absolute error 0.4737762387822492402699459039342218e1+/-0.184e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.31e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4846169731587954111996504470572807e1+/-0.188e-28 absolute error 0.4846169731587954111996504470572807e1+/-0.188e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.32e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4947341117643541180447564631484823e1+/-0.192e-28 absolute error 0.4947341117643541180447564631484823e1+/-0.192e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.33e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5041748404110751024796036673034312e1+/-0.196e-28 absolute error 0.5041748404110751024796036673034312e1+/-0.196e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.34e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5129894368353689020750995129059712e1+/-0.2e-28 absolute error 0.5129894368353689020750995129059712e1+/-0.2e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.35e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5212297987762248300629624538700687e1+/-0.204e-28 absolute error 0.5212297987762248300629624538700687e1+/-0.204e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.36e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5289482379154845842497446342832118e1+/-0.208e-28 absolute error 0.5289482379154845842497446342832118e1+/-0.208e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.37e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5361965364739108957469802476856532e1+/-0.212e-28 absolute error 0.5361965364739108957469802476856532e1+/-0.212e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.38e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5430252502740709310785439759441313e1+/-0.216e-28 absolute error 0.5430252502740709310785439759441313e1+/-0.216e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.39e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5494832336506187937091123946888817e1+/-0.22e-28 absolute error 0.5494832336506187937091123946888817e1+/-0.22e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.4e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5556173570924687320519727630689869e1+/-0.224e-28 absolute error 0.5556173570924687320519727630689869e1+/-0.224e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.41e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5614723871414117159667644049232963e1+/-0.228e-28 absolute error 0.5614723871414117159667644049232963e1+/-0.228e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.42e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.567090999008672301278050288089345e1+/-0.232e-28 absolute error 0.567090999008672301278050288089345e1+/-0.232e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.43e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5725138948209265196141863596383728e1+/-0.236e-28 absolute error 0.5725138948209265196141863596383728e1+/-0.236e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.44e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.577780003698272780975994644871758e1+/-0.24e-28 absolute error 0.577780003698272780975994644871758e1+/-0.24e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.45e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5829267434612103132957101191408755e1+/-0.244e-28 absolute error 0.5829267434612103132957101191408755e1+/-0.244e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.46e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5879903272585012450384376782888218e1+/-0.25e-28 absolute error 0.5879903272585012450384376782888218e1+/-0.25e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.47e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5930061015180287211083282857496481e1+/-0.258e-28 absolute error 0.5930061015180287211083282857496481e1+/-0.258e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.48e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5980089041594035834942350089032591e1+/-0.266e-28 absolute error 0.5980089041594035834942350089032591e1+/-0.266e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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] 0.49e1+/-0.5e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.603033433852953973337453672423255e1+/-0.274e-28 absolute error 0.603033433852953973337453672423255e1+/-0.274e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 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! diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) ; Iterations 98 Total Elapsed Time 4 Minutes 17 Seconds Elapsed Time(since restart) 4 Minutes 17 Seconds Time to Timeout 15 Minutes 43 Seconds Percent Done 0.1010204081632653061224489795918367e3+/-0.914e-29%