38.242 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (/ (* x y) (+ y 1.0)) 0.019 * [simplify]: Sending expressions to egg_math: (/ (* h1 h0) (+ h0 1.0)) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.074 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.075 * [backup-simplify]: Simplify (/ (* x y) (+ y 1.0)) into (/ (* x y) (+ y 1.0)) 0.075 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.075 * [taylor]: Taking taylor expansion of (* x y) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [backup-simplify]: Simplify x into x 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of 1.0 in y 0.075 * [backup-simplify]: Simplify 1.0 into 1.0 0.075 * [backup-simplify]: Simplify (* x 0) into 0 0.076 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.076 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.076 * [backup-simplify]: Simplify (/ x 1.0) into (* 1.0 x) 0.076 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.076 * [taylor]: Taking taylor expansion of (* x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [backup-simplify]: Simplify 1.0 into 1.0 0.077 * [backup-simplify]: Simplify (* 0 y) into 0 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.077 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.077 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.077 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (* x y) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [backup-simplify]: Simplify 1.0 into 1.0 0.078 * [backup-simplify]: Simplify (* 0 y) into 0 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.078 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.078 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.078 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of 1.0 in y 0.079 * [backup-simplify]: Simplify 1.0 into 1.0 0.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.080 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.080 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))))) into 0 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ 1 0) into 1 0.085 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.085 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))) (* 0 (/ 0 (+ y 1.0))))) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 0.092 * [backup-simplify]: Simplify 1.0 into 1.0 0.093 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow y 3) x)) (+ (* (- 1.0) (* (pow y 2) x)) (* 1.0 (* y x)))) into (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) 0.093 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0)) into (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) 0.093 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.093 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.093 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.093 * [taylor]: Taking taylor expansion of x in y 0.094 * [backup-simplify]: Simplify x into x 0.094 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of 1.0 in y 0.094 * [backup-simplify]: Simplify 1.0 into 1.0 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [backup-simplify]: Simplify (* 1 0) into 0 0.095 * [backup-simplify]: Simplify (* x 0) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.098 * [backup-simplify]: Simplify (+ (* 1 1) (* 1.0 0)) into 1 0.098 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.098 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.098 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [backup-simplify]: Simplify y into y 0.098 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [backup-simplify]: Simplify 1.0 into 1.0 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.099 * [backup-simplify]: Simplify (* (+ (/ 1 y) 1.0) y) into (* (+ (/ 1 y) 1.0) y) 0.099 * [backup-simplify]: Simplify (* 0 (* (+ (/ 1 y) 1.0) y)) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (* 0 y)) into 0 0.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ (/ 1 y) 1.0) y))) into (+ (* 1.0 y) 1) 0.100 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.100 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [backup-simplify]: Simplify 1.0 into 1.0 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.101 * [backup-simplify]: Simplify (* (+ (/ 1 y) 1.0) y) into (* (+ (/ 1 y) 1.0) y) 0.101 * [backup-simplify]: Simplify (* 0 (* (+ (/ 1 y) 1.0) y)) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (* 0 y)) into 0 0.102 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ (/ 1 y) 1.0) y))) into (+ (* 1.0 y) 1) 0.103 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 0.103 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.103 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.103 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.103 * [taylor]: Taking taylor expansion of 1.0 in y 0.103 * [backup-simplify]: Simplify 1.0 into 1.0 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [taylor]: Taking taylor expansion of 1 in y 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (+ (* 0 0) (* 0 y))) into 0 0.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (+ (/ 1 y) 1.0) y)))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))))) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.109 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.112 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (+ (/ 1 y) 1.0) y))))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))) (* 0 (/ 0 (+ (* 1.0 y) 1))))) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 0.121 * [backup-simplify]: Simplify 1.0 into 1.0 0.122 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) (+ (* (- 1.0) (* (/ 1 y) (/ 1 (/ 1 x)))) (* 1 (* 1 (/ 1 (/ 1 x)))))) into (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.122 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) 1.0)) into (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) 0.122 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.123 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.123 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [backup-simplify]: Simplify x into x 0.123 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.123 * [taylor]: Taking taylor expansion of 1.0 in y 0.123 * [backup-simplify]: Simplify 1.0 into 1.0 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (- 1) into -1 0.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.125 * [backup-simplify]: Simplify (* -1 0) into 0 0.125 * [backup-simplify]: Simplify (* x 0) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.134 * [backup-simplify]: Simplify (+ (* -1 1) (* 1.0 0)) into -1 0.135 * [backup-simplify]: Simplify (+ (* x -1) (* 0 0)) into (- x) 0.135 * [backup-simplify]: Simplify (/ 1 (- x)) into (/ -1 x) 0.135 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.135 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [backup-simplify]: Simplify 1.0 into 1.0 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.135 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.135 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) y) into (* y (- 1.0 (/ 1 y))) 0.135 * [backup-simplify]: Simplify (* 0 (* y (- 1.0 (/ 1 y)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (* 0 y)) into 0 0.136 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* y (- 1.0 (/ 1 y))))) into (- (* 1.0 y) 1) 0.137 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 0.137 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.137 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [backup-simplify]: Simplify y into y 0.137 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [backup-simplify]: Simplify y into y 0.137 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.137 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.137 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) y) into (* y (- 1.0 (/ 1 y))) 0.137 * [backup-simplify]: Simplify (* 0 (* y (- 1.0 (/ 1 y)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (* 0 y)) into 0 0.138 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* y (- 1.0 (/ 1 y))))) into (- (* 1.0 y) 1) 0.138 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 0.138 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.138 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.138 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.139 * [taylor]: Taking taylor expansion of 1.0 in y 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of 1 in y 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.139 * [backup-simplify]: Simplify (- 1) into -1 0.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.140 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.140 * [backup-simplify]: Simplify -1 into -1 0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 0) (* 0 y))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* y (- 1.0 (/ 1 y)))))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))))) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.144 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.144 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* y (- 1.0 (/ 1 y))))))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))) (* 0 (/ 0 (- (* 1.0 y) 1))))) into 0 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 0.151 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.152 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) (+ (* (- 1.0) (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) (* -1 (* 1 (/ 1 (/ 1 (- x))))))) into (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.152 * * * [progress]: simplifying candidates 0.153 * [simplify]: Simplifying: (- (+ (log x) (log y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (exp (/ (* x y) (+ y 1.0))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ (* x y) (+ y 1.0))) (cbrt (/ (* x y) (+ y 1.0)))) (cbrt (/ (* x y) (+ y 1.0))) (* (* (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0))) (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (- (* x y)) (- (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ x 1) (/ y (+ y 1.0)) (/ x 1) (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) 1) (/ (* x y) 1) (/ (+ y 1.0) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.153 * [simplify]: Sending expressions to egg_math: (- (+ (log h1) (log h0)) (log (+ h0 1.0))) (- (log (* h1 h0)) (log (+ h0 1.0))) (log (/ (* h1 h0) (+ h0 1.0))) (exp (/ (* h1 h0) (+ h0 1.0))) (/ (* (* (* h1 h1) h1) (* (* h0 h0) h0)) (* (* (+ h0 1.0) (+ h0 1.0)) (+ h0 1.0))) (/ (* (* (* h1 h0) (* h1 h0)) (* h1 h0)) (* (* (+ h0 1.0) (+ h0 1.0)) (+ h0 1.0))) (* (cbrt (/ (* h1 h0) (+ h0 1.0))) (cbrt (/ (* h1 h0) (+ h0 1.0)))) (cbrt (/ (* h1 h0) (+ h0 1.0))) (* (* (/ (* h1 h0) (+ h0 1.0)) (/ (* h1 h0) (+ h0 1.0))) (/ (* h1 h0) (+ h0 1.0))) (sqrt (/ (* h1 h0) (+ h0 1.0))) (sqrt (/ (* h1 h0) (+ h0 1.0))) (- (* h1 h0)) (- (+ h0 1.0)) (/ h1 (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (/ h0 (cbrt (+ h0 1.0))) (/ h1 (sqrt (+ h0 1.0))) (/ h0 (sqrt (+ h0 1.0))) (/ h1 1) (/ h0 (+ h0 1.0)) (/ h1 1) (/ h0 (+ h0 1.0)) (/ 1 (+ h0 1.0)) (/ (+ h0 1.0) (* h1 h0)) (/ (* h1 h0) (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (/ (* h1 h0) (sqrt (+ h0 1.0))) (/ (* h1 h0) 1) (/ (* h1 h0) 1) (/ (+ h0 1.0) h0) (/ (* h1 h0) (+ (pow h0 3) (pow 1.0 3))) (/ (* h1 h0) (- (* h0 h0) (* 1.0 1.0))) (- (+ (* 1.0 (* h1 h0)) (* 1.0 (* h1 (pow h0 3)))) (* 1.0 (* h1 (pow h0 2)))) (- (+ h1 (* 1.0 (/ h1 (pow h0 2)))) (* 1.0 (/ h1 h0))) (- (+ h1 (* 1.0 (/ h1 (pow h0 2)))) (* 1.0 (/ h1 h0))) 1.868 * * * [progress]: adding candidates to table 1.929 * * [progress]: iteration 2 / 4 1.929 * * * [progress]: picking best candidate 1.930 * * * * [pick]: Picked # 1.930 * * * [progress]: localizing error 1.935 * * * [progress]: generating rewritten candidates 1.935 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.971 * * * [progress]: generating series expansions 1.971 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.971 * [backup-simplify]: Simplify (* x (/ y (+ y 1.0))) into (/ (* x y) (+ y 1.0)) 1.971 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 1.971 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 1.971 * [taylor]: Taking taylor expansion of (* x y) in y 1.971 * [taylor]: Taking taylor expansion of x in y 1.971 * [backup-simplify]: Simplify x into x 1.971 * [taylor]: Taking taylor expansion of y in y 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.971 * [taylor]: Taking taylor expansion of y in y 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [taylor]: Taking taylor expansion of 1.0 in y 1.971 * [backup-simplify]: Simplify 1.0 into 1.0 1.972 * [backup-simplify]: Simplify (* x 0) into 0 1.972 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.973 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.973 * [backup-simplify]: Simplify (/ x 1.0) into (* 1.0 x) 1.973 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.973 * [taylor]: Taking taylor expansion of (* x y) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [taylor]: Taking taylor expansion of y in x 1.973 * [backup-simplify]: Simplify y into y 1.973 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.973 * [taylor]: Taking taylor expansion of y in x 1.973 * [backup-simplify]: Simplify y into y 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [backup-simplify]: Simplify 1.0 into 1.0 1.973 * [backup-simplify]: Simplify (* 0 y) into 0 1.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.974 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 1.974 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 1.974 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.974 * [taylor]: Taking taylor expansion of (* x y) in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [taylor]: Taking taylor expansion of y in x 1.974 * [backup-simplify]: Simplify y into y 1.974 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.974 * [taylor]: Taking taylor expansion of y in x 1.974 * [backup-simplify]: Simplify y into y 1.975 * [taylor]: Taking taylor expansion of 1.0 in x 1.975 * [backup-simplify]: Simplify 1.0 into 1.0 1.975 * [backup-simplify]: Simplify (* 0 y) into 0 1.975 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.975 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 1.975 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 1.975 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 1.975 * [taylor]: Taking taylor expansion of y in y 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.976 * [taylor]: Taking taylor expansion of y in y 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [taylor]: Taking taylor expansion of 1.0 in y 1.976 * [backup-simplify]: Simplify 1.0 into 1.0 1.976 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.977 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 1.977 * [backup-simplify]: Simplify 1.0 into 1.0 1.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))))) into 0 1.978 * [taylor]: Taking taylor expansion of 0 in y 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (+ 1 0) into 1 1.982 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 1.982 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))) (* 0 (/ 0 (+ y 1.0))))) into 0 1.984 * [taylor]: Taking taylor expansion of 0 in y 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 1.989 * [backup-simplify]: Simplify 1.0 into 1.0 1.990 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow y 3) x)) (+ (* (- 1.0) (* (pow y 2) x)) (* 1.0 (* y x)))) into (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) 1.990 * [backup-simplify]: Simplify (* (/ 1 x) (/ (/ 1 y) (+ (/ 1 y) 1.0))) into (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) 1.990 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 1.990 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 1.990 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 1.990 * [taylor]: Taking taylor expansion of x in y 1.990 * [backup-simplify]: Simplify x into x 1.991 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.991 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.991 * [taylor]: Taking taylor expansion of y in y 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [taylor]: Taking taylor expansion of 1.0 in y 1.991 * [backup-simplify]: Simplify 1.0 into 1.0 1.991 * [taylor]: Taking taylor expansion of y in y 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (+ 1 0) into 1 1.992 * [backup-simplify]: Simplify (* 1 0) into 0 1.992 * [backup-simplify]: Simplify (* x 0) into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.994 * [backup-simplify]: Simplify (+ (* 1 1) (* 1.0 0)) into 1 1.994 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.995 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.995 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 1.995 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.995 * [taylor]: Taking taylor expansion of y in x 1.995 * [backup-simplify]: Simplify y into y 1.995 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.995 * [taylor]: Taking taylor expansion of 1.0 in x 1.995 * [backup-simplify]: Simplify 1.0 into 1.0 1.995 * [taylor]: Taking taylor expansion of y in x 1.995 * [backup-simplify]: Simplify y into y 1.995 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 1.995 * [backup-simplify]: Simplify (* (+ (/ 1 y) 1.0) y) into (* (+ (/ 1 y) 1.0) y) 1.995 * [backup-simplify]: Simplify (* 0 (* (+ (/ 1 y) 1.0) y)) into 0 1.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (* 0 y)) into 0 1.996 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ (/ 1 y) 1.0) y))) into (+ (* 1.0 y) 1) 1.996 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 1.997 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 1.997 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.997 * [taylor]: Taking taylor expansion of x in x 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.997 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.997 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.997 * [taylor]: Taking taylor expansion of y in x 1.997 * [backup-simplify]: Simplify y into y 1.997 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.997 * [taylor]: Taking taylor expansion of 1.0 in x 1.997 * [backup-simplify]: Simplify 1.0 into 1.0 1.997 * [taylor]: Taking taylor expansion of y in x 1.997 * [backup-simplify]: Simplify y into y 1.997 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 1.997 * [backup-simplify]: Simplify (* (+ (/ 1 y) 1.0) y) into (* (+ (/ 1 y) 1.0) y) 1.997 * [backup-simplify]: Simplify (* 0 (* (+ (/ 1 y) 1.0) y)) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (* 0 y)) into 0 1.998 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ (/ 1 y) 1.0) y))) into (+ (* 1.0 y) 1) 1.998 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 1.998 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 1.998 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 1.998 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.998 * [taylor]: Taking taylor expansion of 1.0 in y 1.998 * [backup-simplify]: Simplify 1.0 into 1.0 1.998 * [taylor]: Taking taylor expansion of y in y 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [taylor]: Taking taylor expansion of 1 in y 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.999 * [backup-simplify]: Simplify (+ 0 1) into 1 1.999 * [backup-simplify]: Simplify (/ 1 1) into 1 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (+ (* 0 0) (* 0 y))) into 0 2.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (+ (/ 1 y) 1.0) y)))) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))))) into 0 2.000 * [taylor]: Taking taylor expansion of 0 in y 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.001 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 2.003 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (+ (* (+ (/ 1 y) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (+ (/ 1 y) 1.0) y))))) into 0 2.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))) (* 0 (/ 0 (+ (* 1.0 y) 1))))) into 0 2.005 * [taylor]: Taking taylor expansion of 0 in y 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.006 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 2.013 * [backup-simplify]: Simplify 1.0 into 1.0 2.013 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) (+ (* (- 1.0) (* (/ 1 y) (/ 1 (/ 1 x)))) (* 1 (* 1 (/ 1 (/ 1 x)))))) into (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 2.014 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ (/ 1 (- y)) (+ (/ 1 (- y)) 1.0))) into (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) 2.014 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 2.014 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 2.014 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 2.014 * [taylor]: Taking taylor expansion of x in y 2.014 * [backup-simplify]: Simplify x into x 2.014 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 2.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 2.014 * [taylor]: Taking taylor expansion of 1.0 in y 2.014 * [backup-simplify]: Simplify 1.0 into 1.0 2.014 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.014 * [taylor]: Taking taylor expansion of y in y 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (/ 1 1) into 1 2.014 * [taylor]: Taking taylor expansion of y in y 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (- 1) into -1 2.015 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.015 * [backup-simplify]: Simplify (* -1 0) into 0 2.015 * [backup-simplify]: Simplify (* x 0) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (- 0) into 0 2.016 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.016 * [backup-simplify]: Simplify (+ (* -1 1) (* 1.0 0)) into -1 2.017 * [backup-simplify]: Simplify (+ (* x -1) (* 0 0)) into (- x) 2.017 * [backup-simplify]: Simplify (/ 1 (- x)) into (/ -1 x) 2.017 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 2.017 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 1 into 1 2.017 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 2.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 2.017 * [taylor]: Taking taylor expansion of 1.0 in x 2.017 * [backup-simplify]: Simplify 1.0 into 1.0 2.017 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.017 * [taylor]: Taking taylor expansion of y in x 2.017 * [backup-simplify]: Simplify y into y 2.017 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.017 * [taylor]: Taking taylor expansion of y in x 2.017 * [backup-simplify]: Simplify y into y 2.017 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.017 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 2.017 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) y) into (* y (- 1.0 (/ 1 y))) 2.017 * [backup-simplify]: Simplify (* 0 (* y (- 1.0 (/ 1 y)))) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.018 * [backup-simplify]: Simplify (- 0) into 0 2.018 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (* 0 y)) into 0 2.018 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* y (- 1.0 (/ 1 y))))) into (- (* 1.0 y) 1) 2.018 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 2.018 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 2.018 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 2.018 * [taylor]: Taking taylor expansion of x in x 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 2.018 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 2.019 * [taylor]: Taking taylor expansion of 1.0 in x 2.019 * [backup-simplify]: Simplify 1.0 into 1.0 2.019 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.019 * [taylor]: Taking taylor expansion of y in x 2.019 * [backup-simplify]: Simplify y into y 2.019 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.019 * [taylor]: Taking taylor expansion of y in x 2.019 * [backup-simplify]: Simplify y into y 2.019 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.019 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 2.019 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) y) into (* y (- 1.0 (/ 1 y))) 2.019 * [backup-simplify]: Simplify (* 0 (* y (- 1.0 (/ 1 y)))) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.019 * [backup-simplify]: Simplify (- 0) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (* 0 y)) into 0 2.020 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* y (- 1.0 (/ 1 y))))) into (- (* 1.0 y) 1) 2.020 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 2.020 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 2.020 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 2.020 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 2.020 * [taylor]: Taking taylor expansion of 1.0 in y 2.020 * [backup-simplify]: Simplify 1.0 into 1.0 2.020 * [taylor]: Taking taylor expansion of y in y 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [taylor]: Taking taylor expansion of 1 in y 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.021 * [backup-simplify]: Simplify (- 1) into -1 2.021 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.021 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.021 * [backup-simplify]: Simplify -1 into -1 2.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.022 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 0) (* 0 y))) into 0 2.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* y (- 1.0 (/ 1 y)))))) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))))) into 0 2.023 * [taylor]: Taking taylor expansion of 0 in y 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.024 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.027 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 2.027 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.028 * [backup-simplify]: Simplify (- 0) into 0 2.028 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* y (- 1.0 (/ 1 y))))))) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))) (* 0 (/ 0 (- (* 1.0 y) 1))))) into 0 2.030 * [taylor]: Taking taylor expansion of 0 in y 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.032 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 2.037 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.039 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) (+ (* (- 1.0) (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) (* -1 (* 1 (/ 1 (/ 1 (- x))))))) into (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 2.039 * * * [progress]: simplifying candidates 2.040 * [simplify]: Simplifying: (* x (/ y (+ y 1.0))) (+ (log x) (- (log y) (log (+ y 1.0)))) (+ (log x) (log (/ y (+ y 1.0)))) (log (* x (/ y (+ y 1.0)))) (exp (* x (/ y (+ y 1.0)))) (* (* (* x x) x) (/ (* (* y y) y) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)))) (* (* (* x x) x) (* (* (/ y (+ y 1.0)) (/ y (+ y 1.0))) (/ y (+ y 1.0)))) (* (cbrt (* x (/ y (+ y 1.0)))) (cbrt (* x (/ y (+ y 1.0))))) (cbrt (* x (/ y (+ y 1.0)))) (* (* (* x (/ y (+ y 1.0))) (* x (/ y (+ y 1.0)))) (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))) (* x (sqrt (/ y (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (/ (sqrt y) 1)) (* x (/ (sqrt y) 1)) (* x (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ 1 (sqrt (+ y 1.0)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x y) (* x (/ y (+ (pow y 3) (pow 1.0 3)))) (* x (/ y (- (* y y) (* 1.0 1.0)))) (* (cbrt x) (/ y (+ y 1.0))) (* (sqrt x) (/ y (+ y 1.0))) (* x (/ y (+ y 1.0))) (* x y) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 2.040 * [simplify]: Sending expressions to egg_math: (* h1 (/ h0 (+ h0 1.0))) (+ (log h1) (- (log h0) (log (+ h0 1.0)))) (+ (log h1) (log (/ h0 (+ h0 1.0)))) (log (* h1 (/ h0 (+ h0 1.0)))) (exp (* h1 (/ h0 (+ h0 1.0)))) (* (* (* h1 h1) h1) (/ (* (* h0 h0) h0) (* (* (+ h0 1.0) (+ h0 1.0)) (+ h0 1.0)))) (* (* (* h1 h1) h1) (* (* (/ h0 (+ h0 1.0)) (/ h0 (+ h0 1.0))) (/ h0 (+ h0 1.0)))) (* (cbrt (* h1 (/ h0 (+ h0 1.0)))) (cbrt (* h1 (/ h0 (+ h0 1.0))))) (cbrt (* h1 (/ h0 (+ h0 1.0)))) (* (* (* h1 (/ h0 (+ h0 1.0))) (* h1 (/ h0 (+ h0 1.0)))) (* h1 (/ h0 (+ h0 1.0)))) (sqrt (* h1 (/ h0 (+ h0 1.0)))) (sqrt (* h1 (/ h0 (+ h0 1.0)))) (* (sqrt h1) (sqrt (/ h0 (+ h0 1.0)))) (* (sqrt h1) (sqrt (/ h0 (+ h0 1.0)))) (* (sqrt h1) (/ (sqrt h0) (sqrt (+ h0 1.0)))) (* (sqrt h1) (/ (sqrt h0) (sqrt (+ h0 1.0)))) (* h1 (* (cbrt (/ h0 (+ h0 1.0))) (cbrt (/ h0 (+ h0 1.0))))) (* h1 (sqrt (/ h0 (+ h0 1.0)))) (* h1 (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))))) (* h1 (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h0 1.0)))) (* h1 (/ (* (cbrt h0) (cbrt h0)) 1)) (* h1 (/ (* (cbrt h0) (cbrt h0)) 1)) (* h1 (/ (sqrt h0) (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))))) (* h1 (/ (sqrt h0) (sqrt (+ h0 1.0)))) (* h1 (/ (sqrt h0) 1)) (* h1 (/ (sqrt h0) 1)) (* h1 (/ 1 (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))))) (* h1 (/ 1 (sqrt (+ h0 1.0)))) (* h1 (/ 1 1)) (* h1 (/ 1 1)) (* h1 1) (* h1 h0) (* h1 (/ h0 (+ (pow h0 3) (pow 1.0 3)))) (* h1 (/ h0 (- (* h0 h0) (* 1.0 1.0)))) (* (cbrt h1) (/ h0 (+ h0 1.0))) (* (sqrt h1) (/ h0 (+ h0 1.0))) (* h1 (/ h0 (+ h0 1.0))) (* h1 h0) (- (+ (* 1.0 (* h1 h0)) (* 1.0 (* h1 (pow h0 3)))) (* 1.0 (* h1 (pow h0 2)))) (- (+ h1 (* 1.0 (/ h1 (pow h0 2)))) (* 1.0 (/ h1 h0))) (- (+ h1 (* 1.0 (/ h1 (pow h0 2)))) (* 1.0 (/ h1 h0))) 2.653 * * * [progress]: adding candidates to table 2.738 * [progress]: [Phase 3 of 3] Extracting. 2.738 * * [regime]: Finding splitpoints for: (# #) 2.738 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* x y) (+ y 1.0)) y x) 2.738 * * * * [regimes]: Trying to branch on (/ (* x y) (+ y 1.0)) from (# #) 2.748 * * * * [regimes]: Trying to branch on y from (# #) 2.762 * * * * [regimes]: Trying to branch on x from (# #) 2.777 * * * [regime]: Found split indices: #