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/divpostode.ode################# diff ( y , x , 1 ) = sin ( x ) / cos ( 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(0.0) x_end=c(1.5) $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=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(1.570796327) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb # 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(2.0) - ln(float_abs(cos(c(x))))) 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) 0.199999999999999999999999999999996646e1+/-0.911e-32 y[1] (numeric) 0.199999999999999999999999999999996646e1+/-0.11e-31 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.2011e-31 relative error 0.0e0+/-0.100550000000000000000000000000002602e-29% 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) 0.200005000083335555623018060038589493e1+/-0.149e-32 y[1] (numeric) 0.200005000083335555623018059888577132e1+/-0.24e-31 absolute error 0.150012361e-26+/-0.254e-31 relative error 0.750043053611133448594440497368016772e-25+/-0.126e-29% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2e-1+/-0.100e-31 y[1] (closed_form) 0.200020001333475572827636563596744569e1+/-0.299e-32 y[1] (numeric) 0.200020001333475572827636562963247389e1+/-0.37e-31 absolute error 0.63349718e-26+/-0.399e-31 relative error 0.316716916196708972854669221833242379e-24+/-0.199e-29% 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) 0.200045006751620442736319264665697782e1+/-0.546e-32 y[1] (numeric) 0.200045006751620442736319263214852994e1+/-0.48e-31 absolute error 0.1450844788e-25+/-0.534e-31 relative error 0.725259186199731321310642132803968051e-24+/-0.266e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.4e-1+/-0.200e-31 y[1] (closed_form) 0.20008002134243997892934257533483997e1+/-0.895e-32 y[1] (numeric) 0.200080021342439978929342572732130199e1+/-0.58e-31 absolute error 0.2602709771e-25+/-0.669e-31 relative error 0.130083441291993012660237279911897727e-23+/-0.334e-29% 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) 0.200125052118081928617033863832690054e1+/-0.134e-31 y[1] (numeric) 0.200125052118081928617033859742674622e1+/-0.68e-31 absolute error 0.4090015432e-25+/-0.814e-31 relative error 0.204372985226593438922495705947375506e-23+/-0.406e-29% 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) 0.20018010810379343982598482637709498e1+/-0.189e-31 y[1] (numeric) 0.20018010810379343982598482046313961e1+/-0.81e-31 absolute error 0.591395537e-25+/-0.999e-31 relative error 0.295431720265312902718361323124862433e-23+/-0.499e-29% 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) 0.20024520034516506964409787510245572e1+/-0.254e-31 y[1] (numeric) 0.200245200345165069644097867026460207e1+/-0.91e-31 absolute error 0.8075995513e-25+/-0.116e-30 relative error 0.403305322628423004532068738511702513e-23+/-0.579e-29% 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) 0.200320341917009705178418050692582786e1+/-0.33e-31 y[1] (numeric) 0.200320341917009705178418040114706154e1+/-0.101e-30 absolute error 0.10577876632e-24+/-0.134e-30 relative error 0.528048051973787382577784551916496895e-23+/-0.668e-29% 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) 0.200405547933891591802629977167079025e1+/-0.415e-31 y[1] (numeric) 0.200405547933891591802629963745461702e1+/-0.113e-30 absolute error 0.13421617323e-24+/-0.154e-30 relative error 0.669722842574569397929156217338287042e-23+/-0.768e-29% 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) 0.20050083556232353090791329977212668e1+/-0.511e-31 y[1] (numeric) 0.200500835562323530907913283162609204e1+/-0.124e-30 absolute error 0.16609517476e-24+/-0.175e-30 relative error 0.828401409371538998693469040184440042e-23+/-0.872e-29% 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) 0.200606224034653230323063561134091321e1+/-0.614e-31 y[1] (numeric) 0.200606224034653230323063540989929072e1+/-0.135e-30 absolute error 0.20144162249e-24+/-0.196e-30 relative error 0.100416436957211487525433699626115761e-22+/-0.977e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.600e-31 y[1] (closed_form) 0.200721734664662773680008946046621667e1+/-0.731e-31 y[1] (numeric) 0.200721734664662773680008922018195121e1+/-0.148e-30 absolute error 0.24028426546e-24+/-0.221e-30 relative error 0.119710137948654467450100970671254947e-22+/-0.11e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.650e-31 y[1] (closed_form) 0.200847390864908229393984707556703236e1+/-0.859e-31 y[1] (numeric) 0.200847390864908229393984679291223231e1+/-0.166e-30 absolute error 0.28265480005e-24+/-0.251e-30 relative error 0.14073112866082296956585072447652935e-22+/-0.124e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.700e-31 y[1] (closed_form) 0.200983218165829555053866075808175198e1+/-0.997e-31 y[1] (numeric) 0.200983218165829555053866042949382656e1+/-0.176e-30 absolute error 0.32858792542e-24+/-0.275e-30 relative error 0.163490229890181616664416760021220631e-22+/-0.136e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.750e-31 y[1] (closed_form) 0.201129244236664178698136802741982697e1+/-0.113e-30 y[1] (numeric) 0.201129244236664178698136764929842262e1+/-0.187e-30 absolute error 0.37812140435e-24+/-0.300e-30 relative error 0.187999217013450911741202849376050468e-22+/-0.149e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ; Iterations 158 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 25 Minutes 26 Seconds Optimized Time Remaining 25 Minutes 18 Seconds Expected Total Time 28 Minutes 19 Seconds Time to Timeout 0.0 Seconds Percent Done 0.106e2+/-0.53e-29%