7.075 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* x (- 1.0 y)) 0.015 * [simplify]: Sending expressions to egg_math: (* h0 (- h1 h2)) 0.018 * * [simplify]: iteration 0 : 8 enodes (cost 2 ) 0.020 * * [simplify]: iteration 1 : 15 enodes (cost 2 ) 0.022 * * [simplify]: iteration 2 : 23 enodes (cost 2 ) 0.024 * * [simplify]: iteration 3 : 31 enodes (cost 2 ) 0.026 * * [simplify]: iteration 4 : 33 enodes (cost 2 ) 0.028 * * [simplify]: iteration 5 : 33 enodes (cost 2 ) 0.028 * [simplify]: Simplified to: (* x (- 1.0 y)) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.059 * * * [progress]: generating series expansions 0.059 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.060 * [approximate]: Taking taylor expansion of (* (- 1.0 y) x) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in y 0.060 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in x 0.060 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in x 0.060 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.061 * [taylor]: Taking taylor expansion of 1.0 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in y 0.066 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of 1.0 in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.067 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.068 * [taylor]: Taking taylor expansion of 1.0 in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.070 * [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 (/ (+ (/ 1 y) 1.0) x)) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in y 0.079 * [taylor]: Taking taylor expansion of -1 in y 0.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 1.0 in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in x 0.080 * [taylor]: Taking taylor expansion of -1 in x 0.080 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in x 0.080 * [taylor]: Taking taylor expansion of -1 in x 0.080 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) 1.0)) in y 0.080 * [taylor]: Taking taylor expansion of -1 in y 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of 1.0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * * * [progress]: simplifying candidates 0.100 * [simplify]: Simplifying using # : (expm1 (* x (- 1.0 y))) (log1p (* x (- 1.0 y))) (* x (- 1.0 y)) (+ (log x) (log (- 1.0 y))) (log (* x (- 1.0 y))) (exp (* x (- 1.0 y))) (* (* (* x x) x) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (* x (- 1.0 y))) (cbrt (* x (- 1.0 y)))) (cbrt (* x (- 1.0 y))) (* (* (* x (- 1.0 y)) (* x (- 1.0 y))) (* x (- 1.0 y))) (sqrt (* x (- 1.0 y))) (sqrt (* x (- 1.0 y))) (* (sqrt x) (sqrt (- 1.0 y))) (* (sqrt x) (sqrt (- 1.0 y))) (* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma 1 1.0 (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma 1 1.0 (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x 1.0) (* x (- y)) (* x 1.0) (* x (- y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma 1 1.0 (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma 1 1.0 (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* 1.0 x) (* (- y) x) (* 1.0 x) (* (- y) x) (* x (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* x (sqrt (- 1.0 y))) (* x 1) (* x (+ (sqrt 1.0) (sqrt y))) (* x 1) (* (cbrt x) (- 1.0 y)) (* (sqrt x) (- 1.0 y)) (* x (- 1.0 y)) (* x (- (pow 1.0 3) (pow y 3))) (* x (- (* 1.0 1.0) (* y y))) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) 0.101 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (- h1 h2))) (log1p (* h0 (- h1 h2))) (* h0 (- h1 h2)) (+ (log h0) (log (- h1 h2))) (log (* h0 (- h1 h2))) (exp (* h0 (- h1 h2))) (* (* (* h0 h0) h0) (* (* (- h1 h2) (- h1 h2)) (- h1 h2))) (* (cbrt (* h0 (- h1 h2))) (cbrt (* h0 (- h1 h2)))) (cbrt (* h0 (- h1 h2))) (* (* (* h0 (- h1 h2)) (* h0 (- h1 h2))) (* h0 (- h1 h2))) (sqrt (* h0 (- h1 h2))) (sqrt (* h0 (- h1 h2))) (* (sqrt h0) (sqrt (- h1 h2))) (* (sqrt h0) (sqrt (- h1 h2))) (* h0 (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt h2) (* (cbrt h2) (cbrt h2)))))) (* h0 (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) (* h0 (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt h2) (sqrt h2))))) (* h0 (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2)))) (* h0 (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* h2 1)))) (* h0 (fma (- h2) 1 (* h2 1))) (* h0 (fma (sqrt h1) (sqrt h1) (- (* (cbrt h2) (* (cbrt h2) (cbrt h2)))))) (* h0 (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) (* h0 (fma (sqrt h1) (sqrt h1) (- (* (sqrt h2) (sqrt h2))))) (* h0 (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2)))) (* h0 (fma (sqrt h1) (sqrt h1) (- (* h2 1)))) (* h0 (fma (- h2) 1 (* h2 1))) (* h0 (fma 1 h1 (- (* (cbrt h2) (* (cbrt h2) (cbrt h2)))))) (* h0 (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) (* h0 (fma 1 h1 (- (* (sqrt h2) (sqrt h2))))) (* h0 (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2)))) (* h0 (fma 1 h1 (- (* h2 1)))) (* h0 (fma (- h2) 1 (* h2 1))) (* h0 h1) (* h0 (- h2)) (* h0 h1) (* h0 (- h2)) (* (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) h0) (* (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2)))) h0) (* (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt h2) (sqrt h2)))) h0) (* (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2))) h0) (* (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* h2 1))) h0) (* (fma (- h2) 1 (* h2 1)) h0) (* (fma (sqrt h1) (sqrt h1) (- (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) h0) (* (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2)))) h0) (* (fma (sqrt h1) (sqrt h1) (- (* (sqrt h2) (sqrt h2)))) h0) (* (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2))) h0) (* (fma (sqrt h1) (sqrt h1) (- (* h2 1))) h0) (* (fma (- h2) 1 (* h2 1)) h0) (* (fma 1 h1 (- (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) h0) (* (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2)))) h0) (* (fma 1 h1 (- (* (sqrt h2) (sqrt h2)))) h0) (* (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2))) h0) (* (fma 1 h1 (- (* h2 1))) h0) (* (fma (- h2) 1 (* h2 1)) h0) (* h1 h0) (* (- h2) h0) (* h1 h0) (* (- h2) h0) (* h0 (* (cbrt (- h1 h2)) (cbrt (- h1 h2)))) (* h0 (sqrt (- h1 h2))) (* h0 1) (* h0 (+ (sqrt h1) (sqrt h2))) (* h0 1) (* (cbrt h0) (- h1 h2)) (* (sqrt h0) (- h1 h2)) (* h0 (- h1 h2)) (* h0 (- (pow h1 3) (pow h2 3))) (* h0 (- (* h1 h1) (* h2 h2))) (- (* h1 h0) (* h0 h2)) (- (* h1 h0) (* h0 h2)) (- (* h1 h0) (* h0 h2)) 0.105 * * [simplify]: iteration 0 : 190 enodes (cost 359 ) 0.111 * * [simplify]: iteration 1 : 718 enodes (cost 220 ) 0.129 * * [simplify]: iteration 2 : 3035 enodes (cost 190 ) 0.194 * * [simplify]: iteration 3 : 5001 enodes (cost 166 ) 0.196 * [simplify]: Simplified to: (expm1 (* x (- 1.0 y))) (log1p (* x (- 1.0 y))) (* x (- 1.0 y)) (log (* x (- 1.0 y))) (log (* x (- 1.0 y))) (exp (* x (- 1.0 y))) (pow (* x (- 1.0 y)) 3) (* (cbrt (* x (- 1.0 y))) (cbrt (* x (- 1.0 y)))) (cbrt (* x (- 1.0 y))) (pow (* x (- 1.0 y)) 3) (sqrt (* x (- 1.0 y))) (sqrt (* x (- 1.0 y))) (* (sqrt x) (sqrt (- 1.0 y))) (* (sqrt x) (sqrt (- 1.0 y))) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x 1.0) (* x (- y)) (* x 1.0) (* x (- y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x (- 1.0 y)) (* x (- y y)) (* x 1.0) (* x (- y)) (* x 1.0) (* x (- y)) (* x (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* x (sqrt (- 1.0 y))) x (* x (+ (sqrt 1.0) (sqrt y))) x (* (cbrt x) (- 1.0 y)) (* (sqrt x) (- 1.0 y)) (* x (- 1.0 y)) (* x (- (pow 1.0 3) (pow y 3))) (* x (- (* 1.0 1.0) (* y y))) (* x (- 1.0 y)) (* x (- 1.0 y)) (* x (- 1.0 y)) 0.196 * * * [progress]: adding candidates to table 0.246 * * [progress]: iteration 2 / 4 0.246 * * * [progress]: picking best candidate 0.247 * * * * [pick]: Picked # 0.247 * * * [progress]: localizing error 0.253 * * * [progress]: generating rewritten candidates 0.253 * * * [progress]: generating series expansions 0.253 * * * [progress]: simplifying candidates 0.254 * [simplify]: Simplifying using # : 0.254 * [simplify]: Sending expressions to egg_math: 0.257 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.257 * [simplify]: Simplified to: 0.257 * * * [progress]: adding candidates to table 0.257 * [progress]: [Phase 3 of 3] Extracting. 0.259 * [simplify]: Simplifying using # : (+ (* x 1.0) (* x (- y))) 0.259 * [simplify]: Sending expressions to egg_math: (+ (* h0 h1) (* h0 (- h2))) 0.260 * * [simplify]: iteration 0 : 12 enodes (cost 4 ) 0.260 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.261 * * [simplify]: iteration 2 : 17 enodes (cost 4 ) 0.261 * * [simplify]: iteration 3 : 17 enodes (cost 4 ) 0.261 * [simplify]: Simplified to: (+ (* x 1.0) (* x (- y))) 0.637 * [regime-testing]: End program error score: 0.009838784812869246