6.904 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.020 * [simplify]: Sending expressions to egg_math: (* h0 (- (* h1 h1) (* h1 h2))) 0.023 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.026 * * [simplify]: iteration 2 : 73 enodes (cost 3 ) 0.028 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.030 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.032 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.034 * * [simplify]: iteration 6 : 131 enodes (cost 3 ) 0.034 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.068 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (- x y) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (- x y) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (- x y) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of (- y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of 1 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.074 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.074 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.075 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of 1 in y 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.085 * [taylor]: Taking taylor expansion of -1 in y 0.085 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.085 * [taylor]: Taking taylor expansion of -1 in x 0.085 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.086 * [taylor]: Taking taylor expansion of -1 in x 0.086 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.086 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of 1 in y 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.104 * * * [progress]: simplifying candidates 0.104 * [simplify]: Simplifying using # : (expm1 (* x (- x y))) (log1p (* x (- x y))) (* x (- x y)) (+ (log x) (log (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma (sqrt x) (sqrt x) (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma 1 x (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma 1 x (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x x) (* x (- y)) (* x x) (* x (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma (sqrt x) (sqrt x) (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma 1 x (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* x x) (* (- y) x) (* x x) (* (- y) x) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) (* x 1) (* x (+ (sqrt x) (sqrt y))) (* x 1) (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.105 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (- h0 h1))) (log1p (* h0 (- h0 h1))) (* h0 (- h0 h1)) (+ (log h0) (log (- h0 h1))) (log (* h0 (- h0 h1))) (exp (* h0 (- h0 h1))) (* (* (* h0 h0) h0) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (* h0 (- h0 h1))) (cbrt (* h0 (- h0 h1)))) (cbrt (* h0 (- h0 h1))) (* (* (* h0 (- h0 h1)) (* h0 (- h0 h1))) (* h0 (- h0 h1))) (sqrt (* h0 (- h0 h1))) (sqrt (* h0 (- h0 h1))) (* (sqrt h0) (sqrt (- h0 h1))) (* (sqrt h0) (sqrt (- h0 h1))) (* h0 (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (* h0 (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (* h0 (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt h1) (sqrt h1))))) (* h0 (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1)))) (* h0 (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* h1 1)))) (* h0 (fma (- h1) 1 (* h1 1))) (* h0 (fma (sqrt h0) (sqrt h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (* h0 (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (* h0 (fma (sqrt h0) (sqrt h0) (- (* (sqrt h1) (sqrt h1))))) (* h0 (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1)))) (* h0 (fma (sqrt h0) (sqrt h0) (- (* h1 1)))) (* h0 (fma (- h1) 1 (* h1 1))) (* h0 (fma 1 h0 (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (* h0 (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (* h0 (fma 1 h0 (- (* (sqrt h1) (sqrt h1))))) (* h0 (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1)))) (* h0 (fma 1 h0 (- (* h1 1)))) (* h0 (fma (- h1) 1 (* h1 1))) (* h0 h0) (* h0 (- h1)) (* h0 h0) (* h0 (- h1)) (* (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) h0) (* (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) h0) (* (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt h1) (sqrt h1)))) h0) (* (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) h0) (* (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* h1 1))) h0) (* (fma (- h1) 1 (* h1 1)) h0) (* (fma (sqrt h0) (sqrt h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) h0) (* (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) h0) (* (fma (sqrt h0) (sqrt h0) (- (* (sqrt h1) (sqrt h1)))) h0) (* (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) h0) (* (fma (sqrt h0) (sqrt h0) (- (* h1 1))) h0) (* (fma (- h1) 1 (* h1 1)) h0) (* (fma 1 h0 (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) h0) (* (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) h0) (* (fma 1 h0 (- (* (sqrt h1) (sqrt h1)))) h0) (* (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) h0) (* (fma 1 h0 (- (* h1 1))) h0) (* (fma (- h1) 1 (* h1 1)) h0) (* h0 h0) (* (- h1) h0) (* h0 h0) (* (- h1) h0) (* h0 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (* h0 (sqrt (- h0 h1))) (* h0 1) (* h0 (+ (sqrt h0) (sqrt h1))) (* h0 1) (* (cbrt h0) (- h0 h1)) (* (sqrt h0) (- h0 h1)) (* h0 (- h0 h1)) (* h0 (- (pow h0 3) (pow h1 3))) (* h0 (- (* h0 h0) (* h1 h1))) (- (pow h0 2) (* h0 h1)) (- (pow h0 2) (* h0 h1)) (- (pow h0 2) (* h0 h1)) 0.109 * * [simplify]: iteration 0 : 186 enodes (cost 350 ) 0.113 * * [simplify]: iteration 1 : 761 enodes (cost 220 ) 0.131 * * [simplify]: iteration 2 : 4223 enodes (cost 190 ) 0.219 * * [simplify]: iteration 3 : 5001 enodes (cost 190 ) 0.220 * [simplify]: Simplified to: (expm1 (* x (- x y))) (log1p (* x (- x y))) (* x (- x y)) (log (* x (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (pow (* x (- x y)) 3) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (pow (* x (- x y)) 3) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) x (* x (+ (sqrt x) (sqrt y))) x (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.221 * * * [progress]: adding candidates to table 0.269 * * [progress]: iteration 2 / 4 0.269 * * * [progress]: picking best candidate 0.271 * * * * [pick]: Picked # 0.271 * * * [progress]: localizing error 0.279 * * * [progress]: generating rewritten candidates 0.279 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.295 * * * [progress]: generating series expansions 0.295 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.295 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.295 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of (* x y) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (* x y) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (* x y) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of (- y) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of 1 in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.302 * [taylor]: Taking taylor expansion of (* x y) in y 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.302 * [taylor]: Taking taylor expansion of (* x y) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.303 * [taylor]: Taking taylor expansion of (* x y) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of 1 in y 0.304 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.313 * [taylor]: Taking taylor expansion of (* x y) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.314 * [taylor]: Taking taylor expansion of (* x y) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.314 * [taylor]: Taking taylor expansion of (* x y) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of 1 in y 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.324 * * * [progress]: simplifying candidates 0.325 * [simplify]: Simplifying using # : (expm1 (+ (pow x 2) (* x (- y)))) (log1p (+ (pow x 2) (* x (- y)))) (* (exp (pow x 2)) (exp (* x (- y)))) (log (+ (pow x 2) (* x (- y)))) (exp (+ (pow x 2) (* x (- y)))) (* (cbrt (+ (pow x 2) (* x (- y)))) (cbrt (+ (pow x 2) (* x (- y))))) (cbrt (+ (pow x 2) (* x (- y)))) (* (* (+ (pow x 2) (* x (- y))) (+ (pow x 2) (* x (- y)))) (+ (pow x 2) (* x (- y)))) (sqrt (+ (pow x 2) (* x (- y)))) (sqrt (+ (pow x 2) (* x (- y)))) (+ (pow (pow x 2) 3) (pow (* x (- y)) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* x (- y)) (* x (- y))) (* (pow x 2) (* x (- y))))) (- (* (pow x 2) (pow x 2)) (* (* x (- y)) (* x (- y)))) (- (pow x 2) (* x (- y))) (+ x (- y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.325 * [simplify]: Sending expressions to egg_math: (expm1 (+ (pow h0 2) (* h0 (- h1)))) (log1p (+ (pow h0 2) (* h0 (- h1)))) (* (exp (pow h0 2)) (exp (* h0 (- h1)))) (log (+ (pow h0 2) (* h0 (- h1)))) (exp (+ (pow h0 2) (* h0 (- h1)))) (* (cbrt (+ (pow h0 2) (* h0 (- h1)))) (cbrt (+ (pow h0 2) (* h0 (- h1))))) (cbrt (+ (pow h0 2) (* h0 (- h1)))) (* (* (+ (pow h0 2) (* h0 (- h1))) (+ (pow h0 2) (* h0 (- h1)))) (+ (pow h0 2) (* h0 (- h1)))) (sqrt (+ (pow h0 2) (* h0 (- h1)))) (sqrt (+ (pow h0 2) (* h0 (- h1)))) (+ (pow (pow h0 2) 3) (pow (* h0 (- h1)) 3)) (+ (* (pow h0 2) (pow h0 2)) (- (* (* h0 (- h1)) (* h0 (- h1))) (* (pow h0 2) (* h0 (- h1))))) (- (* (pow h0 2) (pow h0 2)) (* (* h0 (- h1)) (* h0 (- h1)))) (- (pow h0 2) (* h0 (- h1))) (+ h0 (- h1)) (- (pow h0 2) (* h0 h1)) (- (pow h0 2) (* h0 h1)) (- (pow h0 2) (* h0 h1)) 0.328 * * [simplify]: iteration 0 : 98 enodes (cost 102 ) 0.331 * * [simplify]: iteration 1 : 421 enodes (cost 82 ) 0.343 * * [simplify]: iteration 2 : 2033 enodes (cost 73 ) 0.394 * * [simplify]: iteration 3 : 5001 enodes (cost 72 ) 0.394 * [simplify]: Simplified to: (expm1 (+ (pow x 2) (* x (- y)))) (log1p (+ (pow x 2) (* x (- y)))) (pow (exp x) (- x y)) (+ (log x) (log (- x y))) (pow (exp x) (- x y)) (* (cbrt (+ (pow x 2) (* x (- y)))) (cbrt (+ (pow x 2) (* x (- y))))) (cbrt (+ (pow x 2) (* x (- y)))) (pow (* x (- x y)) 3) (sqrt (+ (pow x 2) (* x (- y)))) (sqrt (+ (pow x 2) (* x (- y)))) (- (pow x 6) (pow (* x y) 3)) (fma (* x y) (fma x x (* x y)) (pow x 4)) (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y)) (- x y) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.395 * * * [progress]: adding candidates to table 0.646 * [progress]: [Phase 3 of 3] Extracting. 0.646 * * [regime]: Finding splitpoints for: (# #) 0.647 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.647 * * * * [regimes]: Trying to branch on y from (# #) 0.657 * * * * [regimes]: Trying to branch on x from (# #) 0.667 * * * [regime]: Found split indices: #