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/sqrt_sqrt_tonepostode.ode################# diff ( y , x , 1 ) = sqrt ( sqrt ( 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(0.5) x_end=c(1.5) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_min_h=c(0.001) # 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) #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(0.8) * (c(x) + c(2.0)) * sqrt(sqrt(c(0.1) * c(x) + c(0.2)))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.5e0+/-0.50e-33 y[1] (closed_form) 0.141421356237309504880168872420970305e1+/-0.113e-30 y[1] (numeric) 0.141421356237309504880168872420970305e1+/-0.113e-30 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.226e-30 relative error 0.0e0+/-0.159806132548159740514590825835720859e-28% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.51e0+/-0.550e-32 y[1] (closed_form) 0.142128816218950615731783877870564864e1+/-0.187e-30 y[1] (numeric) 0.142128816218950615731783878223008411e1+/-0.113e-30 absolute error 0.352443547e-26+/-0.300e-30 relative error 0.247974729105643013140960475063011495e-24+/-0.211e-28% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.52e0+/-0.105e-31 y[1] (closed_form) 0.142836981194674002050083493695452206e1+/-0.261e-30 y[1] (numeric) 0.142836981194674002050083494397890076e1+/-0.113e-30 absolute error 0.70243787e-26+/-0.374e-30 relative error 0.49177591413993841470606232485572026e-24+/-0.261e-28% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.53e0+/-0.155e-31 y[1] (closed_form) 0.143545849065230827864695252371742064e1+/-0.333e-30 y[1] (numeric) 0.143545849065230827864695253421751693e1+/-0.113e-30 absolute error 0.1050009629e-25+/-0.446e-30 relative error 0.731480315061461188486284791207060156e-24+/-0.31e-28% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.54e0+/-0.205e-31 y[1] (closed_form) 0.144255417745900048363556029019413524e1+/-0.409e-30 y[1] (numeric) 0.144255417745900048363556030414598523e1+/-0.113e-30 absolute error 0.1395184999e-25+/-0.522e-30 relative error 0.967162981329103817648528413407125234e-24+/-0.361e-28% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.55e0+/-0.255e-31 y[1] (closed_form) 0.144965685166331041645105591718111507e1+/-0.48e-30 y[1] (numeric) 0.144965685166331041645105593456101457e1+/-0.113e-30 absolute error 0.173798995e-25+/-0.593e-30 relative error 0.11988974825358575921199283609379023e-23+/-0.409e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.56e0+/-0.305e-31 y[1] (closed_form) 0.145676649270388555876386504310185262e1+/-0.557e-30 y[1] (numeric) 0.145676649270388555876386506388635133e1+/-0.113e-30 absolute error 0.2078449871e-25+/-0.670e-30 relative error 0.142675568212872326244122878134123427e-23+/-0.459e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.57e0+/-0.355e-31 y[1] (closed_form) 0.146388308015999928873715275722278853e1+/-0.631e-30 y[1] (numeric) 0.146388308015999928873715278138868779e1+/-0.113e-30 absolute error 0.2416589926e-25+/-0.744e-30 relative error 0.16508080179025444376978549096541479e-23+/-0.508e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.58e0+/-0.405e-31 y[1] (closed_form) 0.147100659375004538084765694475709612e1+/-0.707e-30 y[1] (numeric) 0.147100659375004538084765697228144424e1+/-0.113e-30 absolute error 0.2752434812e-25+/-0.820e-30 relative error 0.18711233679675102318592111457221201e-23+/-0.557e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.59e0+/-0.455e-31 y[1] (closed_form) 0.147813701333005439887895361291721919e1+/-0.779e-30 y[1] (numeric) 0.147813701333005439887895364377730861e1+/-0.113e-30 absolute error 0.3086008942e-25+/-0.892e-30 relative error 0.2087769208246544726076890245849621e-23+/-0.603e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.6e0+/-0.505e-31 y[1] (closed_form) 0.148527431889223158037104553420152058e1+/-0.853e-30 y[1] (numeric) 0.148527431889223158037104556837488412e1+/-0.113e-30 absolute error 0.3417336354e-25+/-0.966e-30 relative error 0.230081158108810930565740264338072934e-23+/-0.65e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.61e0+/-0.555e-31 y[1] (closed_form) 0.149241849056351581969871349945578915e1+/-0.926e-30 y[1] (numeric) 0.149241849056351581969871353692019631e1+/-0.113e-30 absolute error 0.3746440716e-25+/-0.103e-29 relative error 0.251031512922718996348769314830554735e-23+/-0.69e-28% Desired digits 8 Estimated correct digits 12 Correct digits 24 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sqrt ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations 118 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 22 Minutes 20 Seconds Optimized Time Remaining 22 Minutes 12 Seconds Expected Total Time 25 Minutes 13 Seconds Time to Timeout 0.0 Seconds Percent Done 0.119e2+/-0.606e-29%