4.709 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.014 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) (+ h1 h1)) 0.017 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.063 * * * [progress]: generating series expansions 0.063 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.063 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.063 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.063 * [taylor]: Taking taylor expansion of 1/2 in y 0.063 * [backup-simplify]: Simplify 1/2 into 1/2 0.063 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.063 * [taylor]: Taking taylor expansion of (+ x y) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [backup-simplify]: Simplify x into x 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (+ x 0) into x 0.064 * [backup-simplify]: Simplify (/ x 1) into x 0.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.064 * [taylor]: Taking taylor expansion of 1/2 in x 0.064 * [backup-simplify]: Simplify 1/2 into 1/2 0.064 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.064 * [taylor]: Taking taylor expansion of (+ x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.064 * [backup-simplify]: Simplify (+ 0 y) into y 0.064 * [backup-simplify]: Simplify (/ y y) into 1 0.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.064 * [taylor]: Taking taylor expansion of 1/2 in x 0.064 * [backup-simplify]: Simplify 1/2 into 1/2 0.064 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.064 * [taylor]: Taking taylor expansion of (+ x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.064 * [backup-simplify]: Simplify (+ 0 y) into y 0.064 * [backup-simplify]: Simplify (/ y y) into 1 0.065 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.065 * [taylor]: Taking taylor expansion of 1/2 in y 0.065 * [backup-simplify]: Simplify 1/2 into 1/2 0.065 * [backup-simplify]: Simplify (+ 1 0) into 1 0.065 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.065 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.065 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of 1/2 in y 0.065 * [backup-simplify]: Simplify 1/2 into 1/2 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.066 * [backup-simplify]: Simplify 1/2 into 1/2 0.066 * [backup-simplify]: Simplify 1/2 into 1/2 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 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 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.072 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.072 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.072 * [taylor]: Taking taylor expansion of 1/2 in y 0.072 * [backup-simplify]: Simplify 1/2 into 1/2 0.072 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [backup-simplify]: Simplify x into x 0.073 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.073 * [taylor]: Taking taylor expansion of 1/2 in x 0.073 * [backup-simplify]: Simplify 1/2 into 1/2 0.073 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.074 * [taylor]: Taking taylor expansion of 1/2 in x 0.074 * [backup-simplify]: Simplify 1/2 into 1/2 0.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.075 * [backup-simplify]: Simplify (+ 0 1) into 1 0.075 * [backup-simplify]: Simplify (* 1 y) into y 0.075 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.075 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.075 * [taylor]: Taking taylor expansion of 1/2 in y 0.075 * [backup-simplify]: Simplify 1/2 into 1/2 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 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.076 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.076 * [taylor]: Taking taylor expansion of 1/2 in y 0.076 * [backup-simplify]: Simplify 1/2 into 1/2 0.076 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1/2 into 1/2 0.079 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.079 * [backup-simplify]: Simplify 1/2 into 1/2 0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) 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 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) 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 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.084 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.084 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.084 * [taylor]: Taking taylor expansion of 1/2 in y 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [backup-simplify]: Simplify x into x 0.085 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.085 * [taylor]: Taking taylor expansion of 1/2 in x 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.086 * [taylor]: Taking taylor expansion of 1/2 in x 0.086 * [backup-simplify]: Simplify 1/2 into 1/2 0.086 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (+ 0 1) into 1 0.086 * [backup-simplify]: Simplify (* 1 y) into y 0.086 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.086 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.086 * [taylor]: Taking taylor expansion of 1/2 in y 0.086 * [backup-simplify]: Simplify 1/2 into 1/2 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.088 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.088 * [taylor]: Taking taylor expansion of 1/2 in y 0.088 * [backup-simplify]: Simplify 1/2 into 1/2 0.088 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1/2 into 1/2 0.090 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.090 * [backup-simplify]: Simplify 1/2 into 1/2 0.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.096 * * * [progress]: simplifying candidates 0.097 * [simplify]: Simplifying: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.097 * [simplify]: Sending expressions to egg_math: (expm1 (/ (+ h0 h1) (+ h1 h1))) (log1p (/ (+ h0 h1) (+ h1 h1))) (- (log (+ h0 h1)) (log (+ h1 h1))) (log (/ (+ h0 h1) (+ h1 h1))) (exp (/ (+ h0 h1) (+ h1 h1))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (+ h1 h1) (+ h1 h1)) (+ h1 h1))) (* (cbrt (/ (+ h0 h1) (+ h1 h1))) (cbrt (/ (+ h0 h1) (+ h1 h1)))) (cbrt (/ (+ h0 h1) (+ h1 h1))) (* (* (/ (+ h0 h1) (+ h1 h1)) (/ (+ h0 h1) (+ h1 h1))) (/ (+ h0 h1) (+ h1 h1))) (sqrt (/ (+ h0 h1) (+ h1 h1))) (sqrt (/ (+ h0 h1) (+ h1 h1))) (- (+ h0 h1)) (- (+ h1 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h1 h1)) (cbrt (+ h1 h1)))) (/ (cbrt (+ h0 h1)) (cbrt (+ h1 h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt (+ h1 h1))) (/ (cbrt (+ h0 h1)) (sqrt (+ h1 h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) (+ h1 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (+ h0 h1)) (+ (cbrt h1) (cbrt h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h1)) (/ (cbrt (+ h0 h1)) (+ (sqrt h1) (sqrt h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) (+ h1 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (cbrt h1)) (/ (cbrt (+ h0 h1)) (+ (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (cbrt h1)))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h1)) (/ (cbrt (+ h0 h1)) (+ (sqrt h1) (sqrt h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) h1) (/ (cbrt (+ h0 h1)) (+ 1 1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ 1 1)) (/ (cbrt (+ h0 h1)) h1) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ 1 1)) (/ (cbrt (+ h0 h1)) h1) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 2) (/ (cbrt (+ h0 h1)) h1) (/ (sqrt (+ h0 h1)) (* (cbrt (+ h1 h1)) (cbrt (+ h1 h1)))) (/ (sqrt (+ h0 h1)) (cbrt (+ h1 h1))) (/ (sqrt (+ h0 h1)) (sqrt (+ h1 h1))) (/ (sqrt (+ h0 h1)) (sqrt (+ h1 h1))) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) (+ h1 h1)) (/ (sqrt (+ h0 h1)) (* (cbrt h1) (cbrt h1))) (/ (sqrt (+ h0 h1)) (+ (cbrt h1) (cbrt h1))) (/ (sqrt (+ h0 h1)) (sqrt h1)) (/ (sqrt (+ h0 h1)) (+ (sqrt h1) (sqrt h1))) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) (+ h1 h1)) (/ (sqrt (+ h0 h1)) (cbrt h1)) (/ (sqrt (+ h0 h1)) (+ (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (cbrt h1)))) (/ (sqrt (+ h0 h1)) (sqrt h1)) (/ (sqrt (+ h0 h1)) (+ (sqrt h1) (sqrt h1))) (/ (sqrt (+ h0 h1)) h1) (/ (sqrt (+ h0 h1)) (+ 1 1)) (/ (sqrt (+ h0 h1)) (+ 1 1)) (/ (sqrt (+ h0 h1)) h1) (/ (sqrt (+ h0 h1)) (+ 1 1)) (/ (sqrt (+ h0 h1)) h1) (/ (sqrt (+ h0 h1)) 2) (/ (sqrt (+ h0 h1)) h1) (/ 1 (* (cbrt (+ h1 h1)) (cbrt (+ h1 h1)))) (/ (+ h0 h1) (cbrt (+ h1 h1))) (/ 1 (sqrt (+ h1 h1))) (/ (+ h0 h1) (sqrt (+ h1 h1))) (/ 1 1) (/ (+ h0 h1) (+ h1 h1)) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (+ h0 h1) (+ (cbrt h1) (cbrt h1))) (/ 1 (sqrt h1)) (/ (+ h0 h1) (+ (sqrt h1) (sqrt h1))) (/ 1 1) (/ (+ h0 h1) (+ h1 h1)) (/ 1 (cbrt h1)) (/ (+ h0 h1) (+ (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (cbrt h1)))) (/ 1 (sqrt h1)) (/ (+ h0 h1) (+ (sqrt h1) (sqrt h1))) (/ 1 h1) (/ (+ h0 h1) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ h0 h1) h1) (/ 1 (+ 1 1)) (/ (+ h0 h1) h1) (/ 1 2) (/ (+ h0 h1) h1) (/ 1 (* (cbrt (+ h1 h1)) (cbrt (+ h1 h1)))) (/ (+ h0 h1) (cbrt (+ h1 h1))) (/ 1 (sqrt (+ h1 h1))) (/ (+ h0 h1) (sqrt (+ h1 h1))) (/ 1 1) (/ (+ h0 h1) (+ h1 h1)) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (+ h0 h1) (+ (cbrt h1) (cbrt h1))) (/ 1 (sqrt h1)) (/ (+ h0 h1) (+ (sqrt h1) (sqrt h1))) (/ 1 1) (/ (+ h0 h1) (+ h1 h1)) (/ 1 (cbrt h1)) (/ (+ h0 h1) (+ (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (cbrt h1)))) (/ 1 (sqrt h1)) (/ (+ h0 h1) (+ (sqrt h1) (sqrt h1))) (/ 1 h1) (/ (+ h0 h1) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ h0 h1) h1) (/ 1 (+ 1 1)) (/ (+ h0 h1) h1) (/ 1 2) (/ (+ h0 h1) h1) (/ 1 (+ h1 h1)) (/ (+ h1 h1) (+ h0 h1)) (/ (+ h0 h1) (* (cbrt (+ h1 h1)) (cbrt (+ h1 h1)))) (/ (+ h0 h1) (sqrt (+ h1 h1))) (/ (+ h0 h1) 1) (/ (+ h0 h1) (* (cbrt h1) (cbrt h1))) (/ (+ h0 h1) (sqrt h1)) (/ (+ h0 h1) 1) (/ (+ h0 h1) (cbrt h1)) (/ (+ h0 h1) (sqrt h1)) (/ (+ h0 h1) h1) (/ (+ h0 h1) (+ 1 1)) (/ (+ h0 h1) (+ 1 1)) (/ (+ h0 h1) 2) (/ (+ h1 h1) (cbrt (+ h0 h1))) (/ (+ h1 h1) (sqrt (+ h0 h1))) (/ (+ h1 h1) (+ h0 h1)) (/ (+ h1 h1) (+ h0 h1)) (/ (+ h0 h1) (+ (pow h1 3) (pow h1 3))) (/ (+ h0 h1) (- (* h1 h1) (* h1 h1))) (* (+ h1 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (+ h1 h1) (- h0 h1)) (+ (* 1/2 (/ h0 h1)) 1/2) (+ (* 1/2 (/ h0 h1)) 1/2) (+ (* 1/2 (/ h0 h1)) 1/2) 0.103 * * [simplify]: iteration 0 : 232 enodes (cost 524 ) 0.108 * * [simplify]: iteration 1 : 760 enodes (cost 480 ) 0.126 * * [simplify]: iteration 2 : 3170 enodes (cost 480 ) 0.220 * * [simplify]: iteration 3 : 5001 enodes (cost 480 ) 0.224 * * * [progress]: adding candidates to table 0.344 * * [progress]: iteration 2 / 4 0.344 * * * [progress]: picking best candidate 0.345 * * * * [pick]: Picked # 0.345 * * * [progress]: localizing error 0.350 * * * [progress]: generating rewritten candidates 0.350 * * * [progress]: generating series expansions 0.350 * * * [progress]: simplifying candidates 0.350 * [simplify]: Simplifying: 0.350 * [simplify]: Sending expressions to egg_math: 0.353 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.353 * * * [progress]: adding candidates to table 0.353 * [progress]: [Phase 3 of 3] Extracting. 0.355 * [simplify]: Simplifying: (fma 1/2 (/ x y) 1/2) 0.355 * [simplify]: Sending expressions to egg_math: (fma 1/2 (/ h0 h1) 1/2) 0.356 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.788 * [regime-testing]: End program error score: 0.016877109638704837 0.806 * [regime-testing]: Target error score: 0.016877109638704837