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/exp_sqrtpostode.ode################# diff ( y , x , 1 ) = exp ( sqrt ( 0.1 * x + 0.2 ) ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=16; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(2.0) x_end=c(3.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb $glob_max_h=c(0.01) # 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=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(-2.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(0.5) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) # 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=false $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(20.0) * exp(sqrt(c(0.1) * x + c(0.2))) * sqrt( c(0.1) * x + c(0.2)) - c(20.0) * exp(sqrt(c(0.1) * x + c(0.2)))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.2e1+/-0.50e-33 y[1] (closed_form) -0.13836040790419253776457328343713077e2+/-0.121e-29 y[1] (numeric) -0.13836040790419253776457328343713077e2+/-0.121e-29 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.242e-29 relative error 0.0e0+/-0.174905526563330563689749436136767544e-28% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.201e1+/-0.550e-32 y[1] (closed_form) -0.13817211083627796285283675582438588e2+/-0.161e-29 y[1] (numeric) -0.13817211827509275526283083848042449e2+/-0.121e-29 absolute error 0.743881479240999408265603861e-6+/-0.282e-29 relative error 0.538373102023775853255441132379468688e-5+/-0.204e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.202e1+/-0.105e-31 y[1] (closed_form) -0.13798366503343259072923319938145202e2+/-0.2e-29 y[1] (numeric) -0.13798367990766014319672354632346558e2+/-0.121e-29 absolute error 0.1487422755246749034694201356e-5+/-0.321e-29 relative error 0.107797017486552171081135729835395828e-4+/-0.232e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.203e1+/-0.155e-31 y[1] (closed_form) -0.1377950705634998269825517104675749e2+/-0.239e-29 y[1] (numeric) -0.13779509286975541696333137523220861e2+/-0.121e-29 absolute error 0.2230625558998077966476463371e-5+/-0.360e-29 relative error 0.161879924287287421363693209493884049e-4+/-0.261e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.204e1+/-0.205e-31 y[1] (closed_form) -0.13760632749397811793871657262935818e2+/-0.279e-29 y[1] (numeric) -0.1376063572288942232688265534316843e2+/-0.121e-29 absolute error 0.2973491610533010998080232612e-5+/-0.400e-29 relative error 0.216086837334070698385754364724622261e-4+/-0.29e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.205e1+/-0.255e-31 y[1] (closed_form) -0.13741743589202312843615293218743277e2+/-0.316e-29 y[1] (numeric) -0.13741747305224931886203813985660297e2+/-0.121e-29 absolute error 0.371602261904258852076691702e-5+/-0.437e-29 relative error 0.270418567696349946161835183602425481e-4+/-0.318e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.206e1+/-0.305e-31 y[1] (closed_form) -0.13722839582444990055741157005216023e2+/-0.355e-29 y[1] (numeric) -0.13722844040665273021356721322386437e2+/-0.121e-29 absolute error 0.4458220282965615564317170414e-5+/-0.476e-29 relative error 0.324875930829127796602159286848092233e-4+/-0.346e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.207e1+/-0.355e-31 y[1] (closed_form) -0.13703920735773499352959036042040393e2+/-0.395e-29 y[1] (numeric) -0.13703925935859789435313584947032842e2+/-0.121e-29 absolute error 0.5200086290082354548904992449e-5+/-0.516e-29 relative error 0.37945974661891844928430690197119604e-4+/-0.376e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.208e1+/-0.405e-31 y[1] (closed_form) -0.13684987055801860500320451392893352e2+/-0.435e-29 y[1] (numeric) -0.13684992997424178107496523416808662e2+/-0.121e-29 absolute error 0.594162231760717607202391531e-5+/-0.556e-29 relative error 0.434170839430072930053931034940350339e-4+/-0.406e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.209e1+/-0.455e-31 y[1] (closed_form) -0.13666038549110667391631833679614195e2+/-0.470e-29 y[1] (numeric) -0.1366604523194069967181366030357112e2+/-0.121e-29 absolute error 0.6682830032280181826623956925e-5+/-0.591e-29 relative error 0.489010038151478388693073584652664452e-4+/-0.432e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.21e1+/-0.505e-31 y[1] (closed_form) -0.13647075222247296514795715035913572e2+/-0.509e-29 y[1] (numeric) -0.13647082645958386972609237110159333e2+/-0.121e-29 absolute error 0.7423711090457813522074245761e-5+/-0.630e-29 relative error 0.543978176243637152201245854943807338e-4+/-0.461e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.211e1+/-0.555e-31 y[1] (closed_form) -0.13628097081726113616206837671599288e2+/-0.550e-29 y[1] (numeric) -0.13628105245993251818668296808066029e2+/-0.121e-29 absolute error 0.8164267138202461459136466741e-5+/-0.671e-29 relative error 0.599076091786131307773194130104696776e-4+/-0.492e-28% Desired digits 8 Estimated correct digits 12 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.212e1+/-0.605e-31 y[1] (closed_form) -0.13609104134028678584059479263449184e2+/-0.588e-29 y[1] (numeric) -0.13609113038528489955145672996813382e2+/-0.121e-29 absolute error 0.8904499811371086193733364198e-5+/-0.709e-29 relative error 0.654304627525478648341450665038075686e-4+/-0.52e-28% Desired digits 8 Estimated correct digits 12 Correct digits 5 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = exp ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations 125 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 2 Minutes 59 Seconds Expected Time Remaining 20 Minutes 55 Seconds Optimized Time Remaining 20 Minutes 41 Seconds Expected Total Time 23 Minutes 42 Seconds Time to Timeout 0.0 Seconds Percent Done 0.126e2+/-0.641e-29%