8.451 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (* x (- 1.0 y)) 0.021 * [simplify]: Sending expressions to egg_math: (* h0 (- h1 h2)) 0.024 * * [simplify]: iteration 0 : 8 enodes (cost 2 ) 0.025 * * [simplify]: iteration 1 : 15 enodes (cost 2 ) 0.027 * * [simplify]: iteration 2 : 23 enodes (cost 2 ) 0.028 * * [simplify]: iteration 3 : 31 enodes (cost 2 ) 0.029 * * [simplify]: iteration 4 : 33 enodes (cost 2 ) 0.031 * * [simplify]: iteration 5 : 33 enodes (cost 2 ) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.062 * [backup-simplify]: Simplify (* x (- 1.0 y)) into (* (- 1.0 y) x) 0.062 * [approximate]: Taking taylor expansion of (* (- 1.0 y) x) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in y 0.062 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.062 * [taylor]: Taking taylor expansion of 1.0 in y 0.062 * [backup-simplify]: Simplify 1.0 into 1.0 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [backup-simplify]: Simplify x into x 0.062 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in x 0.062 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [backup-simplify]: Simplify 1.0 into 1.0 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in x 0.062 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [backup-simplify]: Simplify 1.0 into 1.0 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (- y) into (- y) 0.062 * [backup-simplify]: Simplify (+ 1.0 (- y)) into (- 1.0 y) 0.062 * [backup-simplify]: Simplify (* (- 1.0 y) 0) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (- 0) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (+ (* (- 1.0 y) 1) (* 0 0)) into (- 1.0 y) 0.063 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.063 * [taylor]: Taking taylor expansion of 1.0 in y 0.063 * [backup-simplify]: Simplify 1.0 into 1.0 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (- 0) into 0 0.064 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.064 * [backup-simplify]: Simplify 1.0 into 1.0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (- 0) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (+ (* (- 1.0 y) 0) (+ (* 0 1) (* 0 0))) into 0 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (- 1) into -1 0.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.065 * [backup-simplify]: Simplify -1 into -1 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (+ (* (- 1.0 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (+ (* (- 1.0 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* -1 (* y x)) (* 1.0 (* 1 x))) into (- (* 1.0 x) (* x y)) 0.068 * [backup-simplify]: Simplify (* (/ 1 x) (- 1.0 (/ 1 y))) into (/ (- 1.0 (/ 1 y)) x) 0.068 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in y 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 * [backup-simplify]: Simplify 1.0 into 1.0 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [backup-simplify]: Simplify x into x 0.069 * [backup-simplify]: Simplify (- 1) into -1 0.069 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.069 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.069 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [backup-simplify]: Simplify 1.0 into 1.0 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [backup-simplify]: Simplify y into y 0.069 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.069 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.069 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 y)) 1) into (- 1.0 (/ 1 y)) 0.069 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [backup-simplify]: Simplify 1.0 into 1.0 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.070 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.070 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 y)) 1) into (- 1.0 (/ 1 y)) 0.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of 1.0 in y 0.070 * [backup-simplify]: Simplify 1.0 into 1.0 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [backup-simplify]: Simplify (- 1) into -1 0.071 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.071 * [backup-simplify]: Simplify -1 into -1 0.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- 1.0 (/ 1 y)) (/ 0 1)))) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.073 * [backup-simplify]: Simplify 1.0 into 1.0 0.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- 1.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- 1.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- 1.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 (/ 1 x)))) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (* 1.0 x) (* x y)) 0.080 * [backup-simplify]: Simplify (* (/ 1 (- x)) (- 1.0 (/ 1 (- y)))) into (* -1 (/ (+ (/ 1 y) 1.0) x)) 0.080 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in y 0.080 * [taylor]: Taking taylor expansion of -1 in y 0.080 * [backup-simplify]: Simplify -1 into -1 0.080 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) 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 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of 1.0 in y 0.081 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [backup-simplify]: Simplify x into x 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.081 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.081 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [backup-simplify]: Simplify -1 into -1 0.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.081 * [backup-simplify]: Simplify (/ (+ (/ 1 y) 1.0) 1) into (+ (/ 1 y) 1.0) 0.081 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [backup-simplify]: Simplify -1 into -1 0.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.082 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [backup-simplify]: Simplify 1.0 into 1.0 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.082 * [backup-simplify]: Simplify (/ (+ (/ 1 y) 1.0) 1) into (+ (/ 1 y) 1.0) 0.082 * [backup-simplify]: Simplify (* -1 (+ (/ 1 y) 1.0)) into (* -1 (+ (/ 1 y) 1.0)) 0.082 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) 1.0)) in y 0.082 * [taylor]: Taking taylor expansion of -1 in y 0.082 * [backup-simplify]: Simplify -1 into -1 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) 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 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [taylor]: Taking taylor expansion of 1.0 in y 0.082 * [backup-simplify]: Simplify 1.0 into 1.0 0.082 * [backup-simplify]: Simplify (+ 1 0) into 1 0.083 * [backup-simplify]: Simplify (* -1 1) into -1 0.083 * [backup-simplify]: Simplify -1 into -1 0.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 y) 1.0) (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (+ (/ 1 y) 1.0))) into 0 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.085 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 1)) into (- 1.0) 0.086 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 y) 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (+ (/ 1 y) 1.0)))) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 1))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 y) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 y) 1.0))))) into 0 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 y) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 y) 1.0)))))) into 0 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* (- 1.0) (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (* 1.0 x) (* x y)) 0.096 * * * [progress]: simplifying candidates 0.096 * [simplify]: Simplifying: (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)) 0.097 * [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)) 0.100 * * [simplify]: iteration 0 : 190 enodes (cost 359 ) 0.104 * * [simplify]: iteration 1 : 718 enodes (cost 220 ) 0.118 * * [simplify]: iteration 2 : 3035 enodes (cost 190 ) 0.173 * * [simplify]: iteration 3 : 5001 enodes (cost 166 ) 0.175 * * * [progress]: adding candidates to table 0.216 * * [progress]: iteration 2 / 4 0.216 * * * [progress]: picking best candidate 0.217 * * * * [pick]: Picked # 0.217 * * * [progress]: localizing error 0.223 * * * [progress]: generating rewritten candidates 0.223 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.231 * * * [progress]: generating series expansions 0.231 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.232 * [backup-simplify]: Simplify (+ (* x 1.0) (* x (- y))) into (- (* 1.0 x) (* x y)) 0.232 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x y)) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x y)) in y 0.232 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.232 * [taylor]: Taking taylor expansion of 1.0 in y 0.232 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [backup-simplify]: Simplify x into x 0.232 * [taylor]: Taking taylor expansion of (* x y) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [backup-simplify]: Simplify x into x 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x y)) in x 0.232 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.232 * [taylor]: Taking taylor expansion of 1.0 in x 0.232 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of (* x y) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [backup-simplify]: Simplify y into y 0.232 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x y)) in x 0.232 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.232 * [taylor]: Taking taylor expansion of 1.0 in x 0.232 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of (* x y) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [backup-simplify]: Simplify y into y 0.233 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.233 * [backup-simplify]: Simplify (* 0 y) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.235 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.235 * [backup-simplify]: Simplify (- y) into (- y) 0.235 * [backup-simplify]: Simplify (+ 1.0 (- y)) into (- 1.0 y) 0.235 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.235 * [taylor]: Taking taylor expansion of 1.0 in y 0.235 * [backup-simplify]: Simplify 1.0 into 1.0 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.235 * [backup-simplify]: Simplify 1.0 into 1.0 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (- 1) into -1 0.237 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.237 * [backup-simplify]: Simplify -1 into -1 0.237 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (+ (* -1 (* y x)) (* 1.0 (* 1 x))) into (- (* 1.0 x) (* x y)) 0.242 * [backup-simplify]: Simplify (+ (* (/ 1 x) 1.0) (* (/ 1 x) (- (/ 1 y)))) into (- (* 1.0 (/ 1 x)) (/ 1 (* x y))) 0.242 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* x y))) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* x y))) in y 0.242 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.242 * [taylor]: Taking taylor expansion of 1.0 in y 0.242 * [backup-simplify]: Simplify 1.0 into 1.0 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [backup-simplify]: Simplify x into x 0.242 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.242 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.242 * [taylor]: Taking taylor expansion of (* x y) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [backup-simplify]: Simplify x into x 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* x 0) into 0 0.242 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.242 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.242 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.242 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [backup-simplify]: Simplify 1.0 into 1.0 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.243 * [taylor]: Taking taylor expansion of (* x y) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [backup-simplify]: Simplify y into y 0.243 * [backup-simplify]: Simplify (* 0 y) into 0 0.243 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.243 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.243 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.243 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [backup-simplify]: Simplify 1.0 into 1.0 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.244 * [taylor]: Taking taylor expansion of (* x y) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [backup-simplify]: Simplify y into y 0.244 * [backup-simplify]: Simplify (* 0 y) into 0 0.244 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.244 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.244 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.244 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.244 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.244 * [taylor]: Taking taylor expansion of 1.0 in y 0.244 * [backup-simplify]: Simplify 1.0 into 1.0 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [backup-simplify]: Simplify (- 1) into -1 0.245 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.245 * [backup-simplify]: Simplify -1 into -1 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.248 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 (/ 1 x)))) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (* 1.0 x) (* x y)) 0.258 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) 1.0) (* (/ 1 (- x)) (- (/ 1 (- y))))) into (- (+ (/ 1 (* x y)) (* 1.0 (/ 1 x)))) 0.258 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x y)) (* 1.0 (/ 1 x)))) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x y)) (* 1.0 (/ 1 x)))) in y 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 1.0 (/ 1 x))) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.258 * [taylor]: Taking taylor expansion of (* x y) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [backup-simplify]: Simplify x into x 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* x 0) into 0 0.258 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.258 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.258 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.258 * [taylor]: Taking taylor expansion of 1.0 in y 0.258 * [backup-simplify]: Simplify 1.0 into 1.0 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [backup-simplify]: Simplify x into x 0.258 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.258 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x y)) (* 1.0 (/ 1 x)))) in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 1.0 (/ 1 x))) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.258 * [taylor]: Taking taylor expansion of (* x y) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [backup-simplify]: Simplify y into y 0.258 * [backup-simplify]: Simplify (* 0 y) into 0 0.259 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.259 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.259 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x y)) (* 1.0 (/ 1 x)))) in x 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 1.0 (/ 1 x))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.259 * [taylor]: Taking taylor expansion of (* x y) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [backup-simplify]: Simplify y into y 0.259 * [backup-simplify]: Simplify (* 0 y) into 0 0.259 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.259 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.259 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [backup-simplify]: Simplify 1.0 into 1.0 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.260 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.260 * [backup-simplify]: Simplify (- (+ (/ 1 y) 1.0)) into (- (+ (/ 1 y) 1.0)) 0.260 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0)) in y 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of 1.0 in y 0.261 * [backup-simplify]: Simplify 1.0 into 1.0 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.261 * [backup-simplify]: Simplify (- 1) into -1 0.261 * [backup-simplify]: Simplify -1 into -1 0.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.264 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.264 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* (- 1.0) (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (* 1.0 x) (* x y)) 0.276 * * * [progress]: simplifying candidates 0.277 * [simplify]: Simplifying: (expm1 (+ (* x 1.0) (* x (- y)))) (log1p (+ (* x 1.0) (* x (- y)))) (* (exp (* x 1.0)) (exp (* x (- y)))) (log (+ (* x 1.0) (* x (- y)))) (exp (+ (* x 1.0) (* x (- y)))) (* (cbrt (+ (* x 1.0) (* x (- y)))) (cbrt (+ (* x 1.0) (* x (- y))))) (cbrt (+ (* x 1.0) (* x (- y)))) (* (* (+ (* x 1.0) (* x (- y))) (+ (* x 1.0) (* x (- y)))) (+ (* x 1.0) (* x (- y)))) (sqrt (+ (* x 1.0) (* x (- y)))) (sqrt (+ (* x 1.0) (* x (- y)))) (+ (pow (* x 1.0) 3) (pow (* x (- y)) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* x (- y)) (* x (- y))) (* (* x 1.0) (* x (- y))))) (- (* (* x 1.0) (* x 1.0)) (* (* x (- y)) (* x (- y)))) (- (* x 1.0) (* x (- y))) (+ 1.0 (- y)) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) 0.277 * [simplify]: Sending expressions to egg_math: (expm1 (+ (* h0 h1) (* h0 (- h2)))) (log1p (+ (* h0 h1) (* h0 (- h2)))) (* (exp (* h0 h1)) (exp (* h0 (- h2)))) (log (+ (* h0 h1) (* h0 (- h2)))) (exp (+ (* h0 h1) (* h0 (- h2)))) (* (cbrt (+ (* h0 h1) (* h0 (- h2)))) (cbrt (+ (* h0 h1) (* h0 (- h2))))) (cbrt (+ (* h0 h1) (* h0 (- h2)))) (* (* (+ (* h0 h1) (* h0 (- h2))) (+ (* h0 h1) (* h0 (- h2)))) (+ (* h0 h1) (* h0 (- h2)))) (sqrt (+ (* h0 h1) (* h0 (- h2)))) (sqrt (+ (* h0 h1) (* h0 (- h2)))) (+ (pow (* h0 h1) 3) (pow (* h0 (- h2)) 3)) (+ (* (* h0 h1) (* h0 h1)) (- (* (* h0 (- h2)) (* h0 (- h2))) (* (* h0 h1) (* h0 (- h2))))) (- (* (* h0 h1) (* h0 h1)) (* (* h0 (- h2)) (* h0 (- h2)))) (- (* h0 h1) (* h0 (- h2))) (+ h1 (- h2)) (- (* h1 h0) (* h0 h2)) (- (* h1 h0) (* h0 h2)) (- (* h1 h0) (* h0 h2)) 0.279 * * [simplify]: iteration 0 : 112 enodes (cost 102 ) 0.282 * * [simplify]: iteration 1 : 459 enodes (cost 80 ) 0.294 * * [simplify]: iteration 2 : 2185 enodes (cost 76 ) 0.344 * * [simplify]: iteration 3 : 5001 enodes (cost 75 ) 0.345 * * * [progress]: adding candidates to table 0.377 * [progress]: [Phase 3 of 3] Extracting. 0.377 * * [regime]: Finding splitpoints for: (# #) 0.377 * * * [regime-changes]: Trying 4 branch expressions: ((- 1.0 y) (* x (- 1.0 y)) y x) 0.377 * * * * [regimes]: Trying to branch on (- 1.0 y) from (# #) 0.386 * * * * [regimes]: Trying to branch on (* x (- 1.0 y)) from (# #) 0.399 * * * * [regimes]: Trying to branch on y from (# #) 0.410 * * * * [regimes]: Trying to branch on x from (# #) 0.420 * * * [regime]: Found split indices: #