16.160 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.015 * [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 ) 0.022 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.061 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.061 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.061 * [taylor]: Taking taylor expansion of 1/2 in y 0.061 * [backup-simplify]: Simplify 1/2 into 1/2 0.061 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.061 * [taylor]: Taking taylor expansion of (+ x y) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [backup-simplify]: Simplify x into x 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (+ x 0) into x 0.061 * [backup-simplify]: Simplify (/ x 1) into x 0.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.061 * [taylor]: Taking taylor expansion of 1/2 in x 0.061 * [backup-simplify]: Simplify 1/2 into 1/2 0.061 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.061 * [taylor]: Taking taylor expansion of (+ x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (+ 0 y) into y 0.061 * [backup-simplify]: Simplify (/ y y) into 1 0.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.061 * [taylor]: Taking taylor expansion of 1/2 in x 0.061 * [backup-simplify]: Simplify 1/2 into 1/2 0.061 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.061 * [taylor]: Taking taylor expansion of (+ x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (+ 0 y) into y 0.061 * [backup-simplify]: Simplify (/ y y) into 1 0.062 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.062 * [taylor]: Taking taylor expansion of 1/2 in y 0.062 * [backup-simplify]: Simplify 1/2 into 1/2 0.062 * [backup-simplify]: Simplify (+ 1 0) into 1 0.063 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.063 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 1 y) in y 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 (/ 1 1) into 1 0.063 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.063 * [backup-simplify]: Simplify 1/2 into 1/2 0.064 * [backup-simplify]: Simplify 1/2 into 1/2 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 0 into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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)) (* 0 (/ 0 y)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 0.069 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.069 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.069 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.069 * [taylor]: Taking taylor expansion of 1/2 in y 0.069 * [backup-simplify]: Simplify 1/2 into 1/2 0.069 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [backup-simplify]: Simplify x into x 0.070 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.070 * [taylor]: Taking taylor expansion of 1/2 in x 0.070 * [backup-simplify]: Simplify 1/2 into 1/2 0.070 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 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 (/ 1 x) in x 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 1) into 1 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.070 * [taylor]: Taking taylor expansion of 1/2 in x 0.070 * [backup-simplify]: Simplify 1/2 into 1/2 0.070 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 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 0.071 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [backup-simplify]: Simplify (+ 0 1) into 1 0.071 * [backup-simplify]: Simplify (* 1 y) into y 0.071 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.071 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.071 * [taylor]: Taking taylor expansion of 1/2 in y 0.071 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.072 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.072 * [taylor]: Taking taylor expansion of 1/2 in y 0.072 * [backup-simplify]: Simplify 1/2 into 1/2 0.073 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) 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 1/2 into 1/2 0.075 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.075 * [backup-simplify]: Simplify 1/2 into 1/2 0.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) 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 (+ (* 1/2 0) (+ (* 0 1) (* 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)))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (* 0 y))))) into 0 0.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.082 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.082 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.082 * [taylor]: Taking taylor expansion of 1/2 in y 0.082 * [backup-simplify]: Simplify 1/2 into 1/2 0.082 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 x) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [backup-simplify]: Simplify x into x 0.082 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.082 * [taylor]: Taking taylor expansion of 1/2 in x 0.082 * [backup-simplify]: Simplify 1/2 into 1/2 0.082 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [backup-simplify]: Simplify y into y 0.082 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.083 * [taylor]: Taking taylor expansion of 1/2 in x 0.083 * [backup-simplify]: Simplify 1/2 into 1/2 0.083 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (+ 0 1) into 1 0.083 * [backup-simplify]: Simplify (* 1 y) into y 0.083 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.084 * [taylor]: Taking taylor expansion of (* 1/2 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 y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.085 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.085 * [taylor]: Taking taylor expansion of 1/2 in y 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) 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 1/2 into 1/2 0.087 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.087 * [backup-simplify]: Simplify 1/2 into 1/2 0.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (* 0 y))))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.093 * * * [progress]: simplifying candidates 0.094 * [simplify]: Simplifying: (- (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) 0.094 * [simplify]: Sending expressions to egg_math: (- (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) 0.100 * * [simplify]: iteration 0 : 225 enodes (cost 519 ) 0.105 * * [simplify]: iteration 1 : 735 enodes (cost 476 ) 0.122 * * [simplify]: iteration 2 : 3027 enodes (cost 476 ) 0.209 * * [simplify]: iteration 3 : 5001 enodes (cost 476 ) 0.212 * * * [progress]: adding candidates to table 0.312 * * [progress]: iteration 2 / 4 0.312 * * * [progress]: picking best candidate 0.313 * * * * [pick]: Picked # 0.313 * * * [progress]: localizing error 0.318 * * * [progress]: generating rewritten candidates 0.318 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.336 * * * [progress]: generating series expansions 0.336 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.336 * [backup-simplify]: Simplify (* 1/2 (/ x y)) into (* 1/2 (/ x y)) 0.336 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (x y) around 0 0.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.336 * [taylor]: Taking taylor expansion of 1/2 in y 0.336 * [backup-simplify]: Simplify 1/2 into 1/2 0.336 * [taylor]: Taking taylor expansion of (/ x y) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [backup-simplify]: Simplify x into x 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ x 1) into x 0.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.336 * [taylor]: Taking taylor expansion of 1/2 in x 0.336 * [backup-simplify]: Simplify 1/2 into 1/2 0.336 * [taylor]: Taking taylor expansion of (/ x y) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [backup-simplify]: Simplify y into y 0.336 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.336 * [taylor]: Taking taylor expansion of 1/2 in x 0.336 * [backup-simplify]: Simplify 1/2 into 1/2 0.336 * [taylor]: Taking taylor expansion of (/ x y) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [backup-simplify]: Simplify y into y 0.336 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.336 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.336 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.336 * [taylor]: Taking taylor expansion of 1/2 in y 0.336 * [backup-simplify]: Simplify 1/2 into 1/2 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.337 * [backup-simplify]: Simplify 1/2 into 1/2 0.337 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) x)) into (* 1/2 (/ x y)) 0.341 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 x) (/ 1 y))) into (* 1/2 (/ y x)) 0.341 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 0.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.341 * [taylor]: Taking taylor expansion of 1/2 in y 0.341 * [backup-simplify]: Simplify 1/2 into 1/2 0.341 * [taylor]: Taking taylor expansion of (/ y x) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [backup-simplify]: Simplify x into x 0.341 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.341 * [taylor]: Taking taylor expansion of 1/2 in x 0.341 * [backup-simplify]: Simplify 1/2 into 1/2 0.341 * [taylor]: Taking taylor expansion of (/ y x) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [backup-simplify]: Simplify y into y 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (/ y 1) into y 0.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.341 * [taylor]: Taking taylor expansion of 1/2 in x 0.341 * [backup-simplify]: Simplify 1/2 into 1/2 0.341 * [taylor]: Taking taylor expansion of (/ y x) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [backup-simplify]: Simplify y into y 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ y 1) into y 0.342 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.342 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.342 * [taylor]: Taking taylor expansion of 1/2 in y 0.342 * [backup-simplify]: Simplify 1/2 into 1/2 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.342 * [backup-simplify]: Simplify 1/2 into 1/2 0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) into (* 1/2 (/ x y)) 0.347 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* 1/2 (/ y x)) 0.348 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.348 * [taylor]: Taking taylor expansion of 1/2 in y 0.348 * [backup-simplify]: Simplify 1/2 into 1/2 0.348 * [taylor]: Taking taylor expansion of (/ y x) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [backup-simplify]: Simplify x into x 0.348 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.348 * [taylor]: Taking taylor expansion of 1/2 in x 0.348 * [backup-simplify]: Simplify 1/2 into 1/2 0.348 * [taylor]: Taking taylor expansion of (/ y x) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [backup-simplify]: Simplify y into y 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ y 1) into y 0.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.348 * [taylor]: Taking taylor expansion of 1/2 in x 0.348 * [backup-simplify]: Simplify 1/2 into 1/2 0.348 * [taylor]: Taking taylor expansion of (/ y x) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [backup-simplify]: Simplify y into y 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ y 1) into y 0.348 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.348 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.348 * [taylor]: Taking taylor expansion of 1/2 in y 0.348 * [backup-simplify]: Simplify 1/2 into 1/2 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.349 * [backup-simplify]: Simplify 1/2 into 1/2 0.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) into (* 1/2 (/ x y)) 0.354 * * * [progress]: simplifying candidates 0.354 * [simplify]: Simplifying: (* 1/2 (/ x y)) (+ (log 1/2) (- (log x) (log y))) (+ (log 1/2) (log (/ x y))) (log (* 1/2 (/ x y))) (exp (* 1/2 (/ x y))) (* (* (* 1/2 1/2) 1/2) (/ (* (* x x) x) (* (* y y) y))) (* (* (* 1/2 1/2) 1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (* (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) 1)) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* 1/2 (/ (sqrt x) 1)) (* 1/2 (/ 1 (* (cbrt y) (cbrt y)))) (* 1/2 (/ 1 (sqrt y))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 x) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* 1/2 (/ x y)) (* 1/2 x) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) 0.354 * [simplify]: Sending expressions to egg_math: (* 1/2 (/ h0 h1)) (+ (log 1/2) (- (log h0) (log h1))) (+ (log 1/2) (log (/ h0 h1))) (log (* 1/2 (/ h0 h1))) (exp (* 1/2 (/ h0 h1))) (* (* (* 1/2 1/2) 1/2) (/ (* (* h0 h0) h0) (* (* h1 h1) h1))) (* (* (* 1/2 1/2) 1/2) (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1))) (* (cbrt (* 1/2 (/ h0 h1))) (cbrt (* 1/2 (/ h0 h1)))) (cbrt (* 1/2 (/ h0 h1))) (* (* (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1))) (* 1/2 (/ h0 h1))) (sqrt (* 1/2 (/ h0 h1))) (sqrt (* 1/2 (/ h0 h1))) (* (sqrt 1/2) (sqrt (/ h0 h1))) (* (sqrt 1/2) (sqrt (/ h0 h1))) (* (sqrt 1/2) (/ (sqrt h0) (sqrt h1))) (* (sqrt 1/2) (/ (sqrt h0) (sqrt h1))) (* 1/2 (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1)))) (* 1/2 (sqrt (/ h0 h1))) (* 1/2 (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))) (* 1/2 (/ (* (cbrt h0) (cbrt h0)) (sqrt h1))) (* 1/2 (/ (* (cbrt h0) (cbrt h0)) 1)) (* 1/2 (/ (sqrt h0) (* (cbrt h1) (cbrt h1)))) (* 1/2 (/ (sqrt h0) (sqrt h1))) (* 1/2 (/ (sqrt h0) 1)) (* 1/2 (/ 1 (* (cbrt h1) (cbrt h1)))) (* 1/2 (/ 1 (sqrt h1))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 h0) (* (cbrt 1/2) (/ h0 h1)) (* (sqrt 1/2) (/ h0 h1)) (* 1/2 (/ h0 h1)) (* 1/2 h0) (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1)) 0.358 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 0.363 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 0.379 * * [simplify]: iteration 2 : 2966 enodes (cost 118 ) 0.421 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 0.422 * * * [progress]: adding candidates to table 0.474 * [progress]: [Phase 3 of 3] Extracting. 0.475 * [simplify]: Simplifying: (+ (* 1/2 (/ x y)) 1/2) 0.476 * [simplify]: Sending expressions to egg_math: (+ (* 1/2 (/ h0 h1)) 1/2) 0.476 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.476 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.872 * [regime-testing]: End program error score: 0.017627203400425052 0.889 * [regime-testing]: Target error score: 0.017627203400425052