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_tzeropostode.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(0.0) x_end=c(0.5) $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] 0.0e0+/-0.50e-33 y[1] (closed_form) 0.10699844879622752384051729172138416e1+/-0.692e-31 y[1] (numeric) 0.10699844879622752384051729172138416e1+/-0.702e-31 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1394e-30 relative error 0.0e0+/-0.130282262563898839714074199864543334e-28% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1e-1+/-0.50e-32 y[1] (closed_form) 0.107667606542580926502387185338215671e1+/-0.136e-30 y[1] (numeric) 0.107667606542580926502387185858620807e1+/-0.841e-31 absolute error 0.520405136e-26+/-0.22e-30 relative error 0.483344204177314520004407688386626572e-24+/-0.204e-28% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2e-1+/-0.100e-31 y[1] (closed_form) 0.108337597095501822624506809794023809e1+/-0.206e-30 y[1] (numeric) 0.108337597095501822624506810830321663e1+/-0.961e-31 absolute error 0.1036297854e-25+/-0.302e-30 relative error 0.956544986950820132403911402391751464e-24+/-0.278e-28% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.3e-1+/-0.150e-31 y[1] (closed_form) 0.109008417360947046580501753203665437e1+/-0.275e-30 y[1] (numeric) 0.10900841736094704658050175475140484e1+/-0.1e-30 absolute error 0.1547739403e-25+/-0.375e-30 relative error 0.141983476181949175620928700284843139e-23+/-0.344e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.4e-1+/-0.200e-31 y[1] (closed_form) 0.109680064271562988722663116241774185e1+/-0.346e-30 y[1] (numeric) 0.109680064271562988722663118296564002e1+/-0.1e-30 absolute error 0.2054789817e-25+/-0.446e-30 relative error 0.187343965436820978029531384240930251e-23+/-0.406e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.5e-1+/-0.250e-31 y[1] (closed_form) 0.110352534786325582977136414369183572e1+/-0.416e-30 y[1] (numeric) 0.110352534786325582977136416926691615e1+/-0.1e-30 absolute error 0.2557508043e-25+/-0.516e-30 relative error 0.231757978912951578634981432103580853e-23+/-0.467e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.6e-1+/-0.300e-31 y[1] (closed_form) 0.111025825890186884191061300582739477e1+/-0.488e-30 y[1] (numeric) 0.111025825890186884191061303638691421e1+/-0.1e-30 absolute error 0.3055951944e-25+/-0.588e-30 relative error 0.27524694542894663710446565327135443e-23+/-0.529e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.7e-1+/-0.350e-31 y[1] (closed_form) 0.111699934593728083187327714170721868e1+/-0.559e-30 y[1] (numeric) 0.111699934593728083187327717720900275e1+/-0.1e-30 absolute error 0.3550178407e-25+/-0.659e-30 relative error 0.317831735525415555665353677375854663e-23+/-0.589e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.8e-1+/-0.400e-31 y[1] (closed_form) 0.112374857932818811708746481132630156e1+/-0.628e-30 y[1] (numeric) 0.112374857932818811708746485172873389e1+/-0.1e-30 absolute error 0.4040243233e-25+/-0.728e-30 relative error 0.359532666587697327910168010756163442e-23+/-0.647e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.9e-1+/-0.450e-31 y[1] (closed_form) 0.113050592968282593522331527187424384e1+/-0.695e-30 y[1] (numeric) 0.113050592968282593522331531713625556e1+/-0.1e-30 absolute error 0.4526201172e-25+/-0.795e-30 relative error 0.400369520686182361103341952784139173e-23+/-0.703e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.500e-31 y[1] (closed_form) 0.113727136785568301911148749195672595e1+/-0.777e-30 y[1] (numeric) 0.113727136785568301911148754203778639e1+/-0.1e-30 absolute error 0.5008106044e-25+/-0.877e-30 relative error 0.440361569415288095248469762076399564e-23+/-0.771e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-31 y[1] (closed_form) 0.114404486494427487610682956433181748e1+/-0.835e-30 y[1] (numeric) 0.114404486494427487610682961919192579e1+/-0.1e-30 absolute error 0.5486010831e-25+/-0.935e-30 relative error 0.479527595385624788992045381964915525e-23+/-0.817e-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 114 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 10 Minutes 5 Seconds Optimized Time Remaining 10 Minutes 2 Seconds Expected Total Time 13 Minutes 3 Seconds Time to Timeout 0.0 Seconds Percent Done 0.23e2+/-0.115e-28%