8.700 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (+ (+ (/ x 2.0) (* y x)) z) 0.033 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.034 * * [simplify]: iteration 1 : 20 enodes (cost 4 ) 0.036 * * [simplify]: iteration 2 : 22 enodes (cost 4 ) 0.037 * * [simplify]: iteration 3 : 22 enodes (cost 4 ) 0.037 * [simplify]: Simplified to: (+ (+ (/ x 2.0) (* y x)) z) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.054 * [approximate]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in y 0.054 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.054 * [taylor]: Taking taylor expansion of 0.5 in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (* x y) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.054 * [taylor]: Taking taylor expansion of 0.5 in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.054 * [taylor]: Taking taylor expansion of 0.5 in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (* x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of (+ y 0.5) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0.5 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.063 * [taylor]: Taking taylor expansion of (* x y) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.064 * [taylor]: Taking taylor expansion of 0.5 in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of 0.5 in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of 0.5 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.079 * [taylor]: Taking taylor expansion of (* x y) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.079 * [taylor]: Taking taylor expansion of 0.5 in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.080 * [taylor]: Taking taylor expansion of (* x y) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of 0.5 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.080 * [taylor]: Taking taylor expansion of (* x y) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of 0.5 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (- (/ 1 y) 0.5) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of 0.5 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * * * [progress]: simplifying candidates 0.097 * [simplify]: Simplifying using # : (* (exp (/ x 2.0)) (exp (* y x))) (log (+ (/ x 2.0) (* y x))) (exp (+ (/ x 2.0) (* y x))) (* (cbrt (+ (/ x 2.0) (* y x))) (cbrt (+ (/ x 2.0) (* y x)))) (cbrt (+ (/ x 2.0) (* y x))) (* (* (+ (/ x 2.0) (* y x)) (+ (/ x 2.0) (* y x))) (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))) (+ (pow (/ x 2.0) 3) (pow (* y x) 3)) (+ (* (/ x 2.0) (/ x 2.0)) (- (* (* y x) (* y x)) (* (/ x 2.0) (* y x)))) (- (* (/ x 2.0) (/ x 2.0)) (* (* y x) (* y x))) (- (/ x 2.0) (* y x)) (+ (* 0.5 x) (* x y)) (+ (* 0.5 x) (* x y)) (+ (* 0.5 x) (* x y)) 0.100 * * [simplify]: iteration 0 : 93 enodes (cost 77 ) 0.103 * * [simplify]: iteration 1 : 295 enodes (cost 67 ) 0.108 * * [simplify]: iteration 2 : 803 enodes (cost 67 ) 0.124 * * [simplify]: iteration 3 : 2115 enodes (cost 65 ) 0.168 * * [simplify]: iteration 4 : 5001 enodes (cost 65 ) 0.168 * [simplify]: Simplified to: (exp (+ (/ x 2.0) (* y x))) (log (+ (/ x 2.0) (* y x))) (exp (+ (/ x 2.0) (* y x))) (* (cbrt (+ (/ x 2.0) (* y x))) (cbrt (+ (/ x 2.0) (* y x)))) (cbrt (+ (/ x 2.0) (* y x))) (pow (+ (/ x 2.0) (* y x)) 3) (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))) (+ (pow (/ x 2.0) 3) (pow (* y x) 3)) (* x (+ (/ (/ x 2.0) 2.0) (* y (- (* y x) (/ x 2.0))))) (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x)) (* x (+ y 0.5)) (* x (+ y 0.5)) (* x (+ y 0.5)) 0.169 * * * [progress]: adding candidates to table 0.199 * * [progress]: iteration 2 / 4 0.199 * * * [progress]: picking best candidate 0.200 * * * * [pick]: Picked # 0.200 * * * [progress]: localizing error 0.205 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.215 * * * [progress]: generating series expansions 0.215 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.215 * [approximate]: Taking taylor expansion of (* x (+ y 0.5)) in (x y) around 0 0.215 * [taylor]: Taking taylor expansion of (* x (+ y 0.5)) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of (+ y 0.5) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 0.5 in y 0.215 * [taylor]: Taking taylor expansion of (* x (+ y 0.5)) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (+ y 0.5) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of 0.5 in x 0.215 * [taylor]: Taking taylor expansion of (* x (+ y 0.5)) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (+ y 0.5) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of 0.5 in x 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of (+ y 0.5) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of 0.5 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 0.5) x) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 0.5) x) in y 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0.5 in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 0.5) x) in x 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of 0.5 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 0.5) x) in x 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of 0.5 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of 0.5 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [approximate]: Taking taylor expansion of (* -1 (/ (- 0.5 (/ 1 y)) x)) in (x y) around 0 0.231 * [taylor]: Taking taylor expansion of (* -1 (/ (- 0.5 (/ 1 y)) x)) in y 0.231 * [taylor]: Taking taylor expansion of -1 in y 0.231 * [taylor]: Taking taylor expansion of (/ (- 0.5 (/ 1 y)) x) in y 0.231 * [taylor]: Taking taylor expansion of (- 0.5 (/ 1 y)) in y 0.231 * [taylor]: Taking taylor expansion of 0.5 in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (* -1 (/ (- 0.5 (/ 1 y)) x)) in x 0.232 * [taylor]: Taking taylor expansion of -1 in x 0.232 * [taylor]: Taking taylor expansion of (/ (- 0.5 (/ 1 y)) x) in x 0.232 * [taylor]: Taking taylor expansion of (- 0.5 (/ 1 y)) in x 0.232 * [taylor]: Taking taylor expansion of 0.5 in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (* -1 (/ (- 0.5 (/ 1 y)) x)) in x 0.232 * [taylor]: Taking taylor expansion of -1 in x 0.232 * [taylor]: Taking taylor expansion of (/ (- 0.5 (/ 1 y)) x) in x 0.232 * [taylor]: Taking taylor expansion of (- 0.5 (/ 1 y)) in x 0.232 * [taylor]: Taking taylor expansion of 0.5 in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (* -1 (- 0.5 (/ 1 y))) in y 0.233 * [taylor]: Taking taylor expansion of -1 in y 0.233 * [taylor]: Taking taylor expansion of (- 0.5 (/ 1 y)) in y 0.233 * [taylor]: Taking taylor expansion of 0.5 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.252 * * * [progress]: simplifying candidates 0.253 * [simplify]: Simplifying using # : (* x (+ y 0.5)) (+ (log x) (log (+ y 0.5))) (log (* x (+ y 0.5))) (exp (* x (+ y 0.5))) (* (* (* x x) x) (* (* (+ y 0.5) (+ y 0.5)) (+ y 0.5))) (* (cbrt (* x (+ y 0.5))) (cbrt (* x (+ y 0.5)))) (cbrt (* x (+ y 0.5))) (* (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* x (+ y 0.5))) (sqrt (* x (+ y 0.5))) (sqrt (* x (+ y 0.5))) (* (sqrt x) (sqrt (+ y 0.5))) (* (sqrt x) (sqrt (+ y 0.5))) (* x y) (* x 0.5) (* y x) (* 0.5 x) (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (* x (sqrt (+ y 0.5))) (* x 1) (* x 1) (* (cbrt x) (+ y 0.5)) (* (sqrt x) (+ y 0.5)) (* x (+ y 0.5)) (* x (+ (pow y 3) (pow 0.5 3))) (* x (- (* y y) (* 0.5 0.5))) (+ (* 0.5 x) (* x y)) (+ (* 0.5 x) (* x y)) (+ (* 0.5 x) (* x y)) 0.256 * * [simplify]: iteration 0 : 126 enodes (cost 86 ) 0.259 * * [simplify]: iteration 1 : 534 enodes (cost 76 ) 0.269 * * [simplify]: iteration 2 : 2147 enodes (cost 76 ) 0.300 * * [simplify]: iteration 3 : 5001 enodes (cost 76 ) 0.301 * [simplify]: Simplified to: (* x (+ y 0.5)) (log (* x (+ y 0.5))) (log (* x (+ y 0.5))) (exp (* x (+ y 0.5))) (pow (* x (+ y 0.5)) 3) (* (cbrt (* x (+ y 0.5))) (cbrt (* x (+ y 0.5)))) (cbrt (* x (+ y 0.5))) (pow (* x (+ y 0.5)) 3) (sqrt (* x (+ y 0.5))) (sqrt (* x (+ y 0.5))) (* (sqrt x) (sqrt (+ y 0.5))) (* (sqrt x) (sqrt (+ y 0.5))) (* x y) (* x 0.5) (* x y) (* x 0.5) (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (* x (sqrt (+ y 0.5))) x x (* (cbrt x) (+ y 0.5)) (* (sqrt x) (+ y 0.5)) (* x (+ y 0.5)) (* x (+ (pow y 3) (pow 0.5 3))) (* x (- (* y y) (* 0.5 0.5))) (* x (+ y 0.5)) (* x (+ y 0.5)) (* x (+ y 0.5)) 0.301 * * * [progress]: adding candidates to table 0.340 * [progress]: [Phase 3 of 3] Extracting. 0.342 * [simplify]: Simplifying using # : (+ (* x (+ y 0.5)) z) 0.342 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.342 * * [simplify]: iteration 1 : 10 enodes (cost 3 ) 0.342 * [simplify]: Simplified to: (+ (* x (+ y 0.5)) z) 1.049 * [regime-testing]: End program error score: 0.009876234529316165