4.292 * [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.
0.018 * [simplify]: Simplifying:
  (/ (+ x y) (+ y y))
0.018 * [simplify]: Sending expressions to egg_math:
 (/ (+ h1 h0) (+ h0 h0))
0.021 * * [progress]: iteration 1 / 4
0.021 * * * [progress]: picking best candidate
0.022 * * * * [pick]: Picked  #<alt (λ (x y) (/ (+ x y) (+ y y)))>
0.022 * * * [progress]: localizing error
0.027 * * * [progress]: generating rewritten candidates
0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.066 * * * [progress]: generating series expansions
0.066 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.066 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y))
0.066 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0
0.067 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y
0.067 * [taylor]: Taking taylor expansion of 1/2 in y
0.067 * [backup-simplify]: Simplify 1/2 into 1/2
0.067 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y
0.067 * [taylor]: Taking taylor expansion of (+ x y) in y
0.067 * [taylor]: Taking taylor expansion of x in y
0.067 * [backup-simplify]: Simplify x into x
0.067 * [taylor]: Taking taylor expansion of y in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [taylor]: Taking taylor expansion of y in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [backup-simplify]: Simplify (+ x 0) into x
0.067 * [backup-simplify]: Simplify (/ x 1) into x
0.067 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x
0.067 * [taylor]: Taking taylor expansion of 1/2 in x
0.067 * [backup-simplify]: Simplify 1/2 into 1/2
0.067 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x
0.067 * [taylor]: Taking taylor expansion of (+ x y) in x
0.067 * [taylor]: Taking taylor expansion of x in x
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [taylor]: Taking taylor expansion of y in x
0.067 * [backup-simplify]: Simplify y into y
0.067 * [taylor]: Taking taylor expansion of y in x
0.067 * [backup-simplify]: Simplify y into y
0.067 * [backup-simplify]: Simplify (+ 0 y) into y
0.067 * [backup-simplify]: Simplify (/ y y) into 1
0.067 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x
0.067 * [taylor]: Taking taylor expansion of 1/2 in x
0.067 * [backup-simplify]: Simplify 1/2 into 1/2
0.067 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x
0.067 * [taylor]: Taking taylor expansion of (+ x y) in x
0.067 * [taylor]: Taking taylor expansion of x in x
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [taylor]: Taking taylor expansion of y in x
0.067 * [backup-simplify]: Simplify y into y
0.067 * [taylor]: Taking taylor expansion of y in x
0.067 * [backup-simplify]: Simplify y into y
0.067 * [backup-simplify]: Simplify (+ 0 y) into y
0.067 * [backup-simplify]: Simplify (/ y y) into 1
0.068 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.068 * [taylor]: Taking taylor expansion of 1/2 in y
0.068 * [backup-simplify]: Simplify 1/2 into 1/2
0.068 * [backup-simplify]: Simplify (+ 1 0) into 1
0.068 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y)
0.069 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y))
0.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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) in y
0.069 * [taylor]: Taking taylor expansion of y in y
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify (/ 1 1) into 1
0.069 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.069 * [backup-simplify]: Simplify 1/2 into 1/2
0.069 * [backup-simplify]: Simplify 1/2 into 1/2
0.070 * [backup-simplify]: Simplify (+ 0 0) into 0
0.070 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0
0.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0
0.070 * [taylor]: Taking taylor expansion of 0 in y
0.070 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
0.073 * [taylor]: Taking taylor expansion of 0 in y
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0
0.076 * [taylor]: Taking taylor expansion of 0 in y
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2)
0.076 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y))
0.076 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0
0.076 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y
0.076 * [taylor]: Taking taylor expansion of 1/2 in y
0.076 * [backup-simplify]: Simplify 1/2 into 1/2
0.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y
0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.077 * [taylor]: Taking taylor expansion of y in y
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [backup-simplify]: Simplify (/ 1 1) into 1
0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.077 * [taylor]: Taking taylor expansion of x in y
0.077 * [backup-simplify]: Simplify x into x
0.077 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.077 * [taylor]: Taking taylor expansion of y in y
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x
0.077 * [taylor]: Taking taylor expansion of 1/2 in x
0.077 * [backup-simplify]: Simplify 1/2 into 1/2
0.077 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x
0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.077 * [taylor]: Taking taylor expansion of y in x
0.077 * [backup-simplify]: Simplify y into y
0.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.077 * [taylor]: Taking taylor expansion of x in x
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [backup-simplify]: Simplify (/ 1 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 (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x
0.077 * [taylor]: Taking taylor expansion of 1/2 in x
0.078 * [backup-simplify]: Simplify 1/2 into 1/2
0.078 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x
0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.078 * [taylor]: Taking taylor expansion of y in x
0.078 * [backup-simplify]: Simplify y into y
0.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.078 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.078 * [taylor]: Taking taylor expansion of y in x
0.078 * [backup-simplify]: Simplify y into y
0.078 * [backup-simplify]: Simplify (+ 0 1) into 1
0.078 * [backup-simplify]: Simplify (* 1 y) into y
0.078 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
0.078 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.078 * [taylor]: Taking taylor expansion of 1/2 in y
0.078 * [backup-simplify]: Simplify 1/2 into 1/2
0.078 * [taylor]: Taking taylor expansion of y in y
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.079 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
0.079 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1
0.080 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2
0.080 * [taylor]: Taking taylor expansion of 1/2 in y
0.080 * [backup-simplify]: Simplify 1/2 into 1/2
0.080 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0
0.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0
0.082 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1/2 into 1/2
0.082 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.082 * [backup-simplify]: Simplify 1/2 into 1/2
0.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0
0.084 * [backup-simplify]: Simplify (+ (* 1/2 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
0.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0
0.088 * [taylor]: Taking taylor expansion of 0 in y
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2)
0.088 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y))
0.088 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0
0.088 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y
0.088 * [taylor]: Taking taylor expansion of 1/2 in y
0.088 * [backup-simplify]: Simplify 1/2 into 1/2
0.088 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y
0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.088 * [taylor]: Taking taylor expansion of y in y
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify (/ 1 1) into 1
0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.089 * [taylor]: Taking taylor expansion of x in y
0.089 * [backup-simplify]: Simplify x into x
0.089 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.089 * [taylor]: Taking taylor expansion of y in y
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.089 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x
0.089 * [taylor]: Taking taylor expansion of 1/2 in x
0.089 * [backup-simplify]: Simplify 1/2 into 1/2
0.089 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x
0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.089 * [taylor]: Taking taylor expansion of y in x
0.089 * [backup-simplify]: Simplify y into y
0.089 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.089 * [taylor]: Taking taylor expansion of x in x
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.089 * [backup-simplify]: Simplify (/ 1 1) into 1
0.089 * [taylor]: Taking taylor expansion of y in x
0.089 * [backup-simplify]: Simplify y into y
0.089 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x
0.089 * [taylor]: Taking taylor expansion of 1/2 in x
0.089 * [backup-simplify]: Simplify 1/2 into 1/2
0.089 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x
0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.089 * [taylor]: Taking taylor expansion of y in x
0.089 * [backup-simplify]: Simplify y into y
0.089 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.089 * [taylor]: Taking taylor expansion of x in x
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify (/ 1 1) into 1
0.090 * [taylor]: Taking taylor expansion of y in x
0.090 * [backup-simplify]: Simplify y into y
0.090 * [backup-simplify]: Simplify (+ 0 1) into 1
0.090 * [backup-simplify]: Simplify (* 1 y) into y
0.090 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
0.090 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.090 * [taylor]: Taking taylor expansion of 1/2 in y
0.090 * [backup-simplify]: Simplify 1/2 into 1/2
0.090 * [taylor]: Taking taylor expansion of y in y
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.091 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1
0.091 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2
0.091 * [taylor]: Taking taylor expansion of 1/2 in y
0.091 * [backup-simplify]: Simplify 1/2 into 1/2
0.092 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0
0.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1/2 into 1/2
0.094 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.094 * [backup-simplify]: Simplify 1/2 into 1/2
0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0
0.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0
0.096 * [taylor]: Taking taylor expansion of 0 in y
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2)
0.100 * * * [progress]: simplifying candidates
0.101 * [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)
0.102 * [simplify]: Sending expressions to egg_math:
 (- (log (+ h1 h0)) (log (+ h0 h0)))
 (log (/ (+ h1 h0) (+ h0 h0)))
 (exp (/ (+ h1 h0) (+ h0 h0)))
 (/ (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* (+ h0 h0) (+ h0 h0)) (+ h0 h0)))
 (* (cbrt (/ (+ h1 h0) (+ h0 h0))) (cbrt (/ (+ h1 h0) (+ h0 h0))))
 (cbrt (/ (+ h1 h0) (+ h0 h0)))
 (* (* (/ (+ h1 h0) (+ h0 h0)) (/ (+ h1 h0) (+ h0 h0))) (/ (+ h1 h0) (+ h0 h0)))
 (sqrt (/ (+ h1 h0) (+ h0 h0)))
 (sqrt (/ (+ h1 h0) (+ h0 h0)))
 (- (+ h1 h0))
 (- (+ h0 h0))
 (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h0 h0)) (cbrt (+ h0 h0))))
 (/ (cbrt (+ h1 h0)) (cbrt (+ h0 h0)))
 (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt (+ h0 h0)))
 (/ (cbrt (+ h1 h0)) (sqrt (+ h0 h0)))
 (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1)
 (/ (cbrt (+ h1 h0)) (+ h0 h0))
 (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt h0) (cbrt h0)))
 (/ (cbrt (+ h1 h0)) (+ (cbrt h0) (cbrt h0)))
 (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt h0))
 (/ (cbrt (+ h1 h0)) (+ (sqrt h0) (sqrt h0)))
 (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1)
 (/ (cbrt (+ h1 h0)) (+ h0 h0))
 (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (cbrt h0))
 (/ (cbrt (+ h1 h0)) (+ (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0))))
 (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt h0))
 (/ (cbrt (+ h1 h0)) (+ (sqrt h0) (sqrt h0)))
 (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) h0)
 (/ (cbrt (+ h1 h0)) (+ 1 1))
 (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (+ 1 1))
 (/ (cbrt (+ h1 h0)) h0)
 (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (+ 1 1))
 (/ (cbrt (+ h1 h0)) h0)
 (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 2)
 (/ (cbrt (+ h1 h0)) h0)
 (/ (sqrt (+ h1 h0)) (* (cbrt (+ h0 h0)) (cbrt (+ h0 h0))))
 (/ (sqrt (+ h1 h0)) (cbrt (+ h0 h0)))
 (/ (sqrt (+ h1 h0)) (sqrt (+ h0 h0)))
 (/ (sqrt (+ h1 h0)) (sqrt (+ h0 h0)))
 (/ (sqrt (+ h1 h0)) 1)
 (/ (sqrt (+ h1 h0)) (+ h0 h0))
 (/ (sqrt (+ h1 h0)) (* (cbrt h0) (cbrt h0)))
 (/ (sqrt (+ h1 h0)) (+ (cbrt h0) (cbrt h0)))
 (/ (sqrt (+ h1 h0)) (sqrt h0))
 (/ (sqrt (+ h1 h0)) (+ (sqrt h0) (sqrt h0)))
 (/ (sqrt (+ h1 h0)) 1)
 (/ (sqrt (+ h1 h0)) (+ h0 h0))
 (/ (sqrt (+ h1 h0)) (cbrt h0))
 (/ (sqrt (+ h1 h0)) (+ (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0))))
 (/ (sqrt (+ h1 h0)) (sqrt h0))
 (/ (sqrt (+ h1 h0)) (+ (sqrt h0) (sqrt h0)))
 (/ (sqrt (+ h1 h0)) h0)
 (/ (sqrt (+ h1 h0)) (+ 1 1))
 (/ (sqrt (+ h1 h0)) (+ 1 1))
 (/ (sqrt (+ h1 h0)) h0)
 (/ (sqrt (+ h1 h0)) (+ 1 1))
 (/ (sqrt (+ h1 h0)) h0)
 (/ (sqrt (+ h1 h0)) 2)
 (/ (sqrt (+ h1 h0)) h0)
 (/ 1 (* (cbrt (+ h0 h0)) (cbrt (+ h0 h0))))
 (/ (+ h1 h0) (cbrt (+ h0 h0)))
 (/ 1 (sqrt (+ h0 h0)))
 (/ (+ h1 h0) (sqrt (+ h0 h0)))
 (/ 1 1)
 (/ (+ h1 h0) (+ h0 h0))
 (/ 1 (* (cbrt h0) (cbrt h0)))
 (/ (+ h1 h0) (+ (cbrt h0) (cbrt h0)))
 (/ 1 (sqrt h0))
 (/ (+ h1 h0) (+ (sqrt h0) (sqrt h0)))
 (/ 1 1)
 (/ (+ h1 h0) (+ h0 h0))
 (/ 1 (cbrt h0))
 (/ (+ h1 h0) (+ (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0))))
 (/ 1 (sqrt h0))
 (/ (+ h1 h0) (+ (sqrt h0) (sqrt h0)))
 (/ 1 h0)
 (/ (+ h1 h0) (+ 1 1))
 (/ 1 (+ 1 1))
 (/ (+ h1 h0) h0)
 (/ 1 (+ 1 1))
 (/ (+ h1 h0) h0)
 (/ 1 2)
 (/ (+ h1 h0) h0)
 (/ 1 (* (cbrt (+ h0 h0)) (cbrt (+ h0 h0))))
 (/ (+ h1 h0) (cbrt (+ h0 h0)))
 (/ 1 (sqrt (+ h0 h0)))
 (/ (+ h1 h0) (sqrt (+ h0 h0)))
 (/ 1 1)
 (/ (+ h1 h0) (+ h0 h0))
 (/ 1 (* (cbrt h0) (cbrt h0)))
 (/ (+ h1 h0) (+ (cbrt h0) (cbrt h0)))
 (/ 1 (sqrt h0))
 (/ (+ h1 h0) (+ (sqrt h0) (sqrt h0)))
 (/ 1 1)
 (/ (+ h1 h0) (+ h0 h0))
 (/ 1 (cbrt h0))
 (/ (+ h1 h0) (+ (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0))))
 (/ 1 (sqrt h0))
 (/ (+ h1 h0) (+ (sqrt h0) (sqrt h0)))
 (/ 1 h0)
 (/ (+ h1 h0) (+ 1 1))
 (/ 1 (+ 1 1))
 (/ (+ h1 h0) h0)
 (/ 1 (+ 1 1))
 (/ (+ h1 h0) h0)
 (/ 1 2)
 (/ (+ h1 h0) h0)
 (/ 1 (+ h0 h0))
 (/ (+ h0 h0) (+ h1 h0))
 (/ (+ h1 h0) (* (cbrt (+ h0 h0)) (cbrt (+ h0 h0))))
 (/ (+ h1 h0) (sqrt (+ h0 h0)))
 (/ (+ h1 h0) 1)
 (/ (+ h1 h0) (* (cbrt h0) (cbrt h0)))
 (/ (+ h1 h0) (sqrt h0))
 (/ (+ h1 h0) 1)
 (/ (+ h1 h0) (cbrt h0))
 (/ (+ h1 h0) (sqrt h0))
 (/ (+ h1 h0) h0)
 (/ (+ h1 h0) (+ 1 1))
 (/ (+ h1 h0) (+ 1 1))
 (/ (+ h1 h0) 2)
 (/ (+ h0 h0) (cbrt (+ h1 h0)))
 (/ (+ h0 h0) (sqrt (+ h1 h0)))
 (/ (+ h0 h0) (+ h1 h0))
 (/ (+ h0 h0) (+ h1 h0))
 (/ (+ h1 h0) (+ (pow h0 3) (pow h0 3)))
 (/ (+ h1 h0) (- (* h0 h0) (* h0 h0)))
 (* (+ h0 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0))))
 (* (+ h0 h0) (- h1 h0))
 (+ (* 1/2 (/ h1 h0)) 1/2)
 (+ (* 1/2 (/ h1 h0)) 1/2)
 (+ (* 1/2 (/ h1 h0)) 1/2)
0.207 * * * [progress]: adding candidates to table
0.316 * * [progress]: iteration 2 / 4
0.316 * * * [progress]: picking best candidate
0.318 * * * * [pick]: Picked  #<alt (λ (x y) (/ (/ (+ x y) 2) y))>
0.318 * * * [progress]: localizing error
0.323 * * * [progress]: generating rewritten candidates
0.323 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.355 * * * [progress]: generating series expansions
0.355 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.355 * [backup-simplify]: Simplify (/ (/ (+ x y) 2) y) into (* 1/2 (/ (+ x y) y))
0.355 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0
0.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y
0.356 * [taylor]: Taking taylor expansion of 1/2 in y
0.356 * [backup-simplify]: Simplify 1/2 into 1/2
0.356 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y
0.356 * [taylor]: Taking taylor expansion of (+ x y) in y
0.356 * [taylor]: Taking taylor expansion of x in y
0.356 * [backup-simplify]: Simplify x into x
0.356 * [taylor]: Taking taylor expansion of y in y
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [taylor]: Taking taylor expansion of y in y
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (+ x 0) into x
0.356 * [backup-simplify]: Simplify (/ x 1) into x
0.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x
0.356 * [taylor]: Taking taylor expansion of 1/2 in x
0.356 * [backup-simplify]: Simplify 1/2 into 1/2
0.356 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x
0.356 * [taylor]: Taking taylor expansion of (+ x y) in x
0.356 * [taylor]: Taking taylor expansion of x in x
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [taylor]: Taking taylor expansion of y in x
0.356 * [backup-simplify]: Simplify y into y
0.356 * [taylor]: Taking taylor expansion of y in x
0.356 * [backup-simplify]: Simplify y into y
0.356 * [backup-simplify]: Simplify (+ 0 y) into y
0.356 * [backup-simplify]: Simplify (/ y y) into 1
0.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x
0.356 * [taylor]: Taking taylor expansion of 1/2 in x
0.356 * [backup-simplify]: Simplify 1/2 into 1/2
0.356 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x
0.356 * [taylor]: Taking taylor expansion of (+ x y) in x
0.356 * [taylor]: Taking taylor expansion of x in x
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [taylor]: Taking taylor expansion of y in x
0.356 * [backup-simplify]: Simplify y into y
0.356 * [taylor]: Taking taylor expansion of y in x
0.356 * [backup-simplify]: Simplify y into y
0.356 * [backup-simplify]: Simplify (+ 0 y) into y
0.356 * [backup-simplify]: Simplify (/ y y) into 1
0.357 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.357 * [taylor]: Taking taylor expansion of 1/2 in y
0.357 * [backup-simplify]: Simplify 1/2 into 1/2
0.357 * [backup-simplify]: Simplify (+ 1 0) into 1
0.357 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y)
0.358 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y))
0.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.358 * [taylor]: Taking taylor expansion of 1/2 in y
0.358 * [backup-simplify]: Simplify 1/2 into 1/2
0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.358 * [taylor]: Taking taylor expansion of y in y
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.358 * [backup-simplify]: Simplify 1/2 into 1/2
0.358 * [backup-simplify]: Simplify 1/2 into 1/2
0.358 * [backup-simplify]: Simplify (+ 0 0) into 0
0.359 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0
0.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0
0.359 * [taylor]: Taking taylor expansion of 0 in y
0.359 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.360 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
0.361 * [taylor]: Taking taylor expansion of 0 in y
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0
0.364 * [taylor]: Taking taylor expansion of 0 in y
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2)
0.364 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 x) (/ 1 y)) 2) (/ 1 y)) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y))
0.364 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0
0.364 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y
0.364 * [taylor]: Taking taylor expansion of 1/2 in y
0.364 * [backup-simplify]: Simplify 1/2 into 1/2
0.364 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y
0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.364 * [taylor]: Taking taylor expansion of y in y
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 1 into 1
0.365 * [backup-simplify]: Simplify (/ 1 1) into 1
0.365 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.365 * [taylor]: Taking taylor expansion of x in y
0.365 * [backup-simplify]: Simplify x into x
0.365 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.365 * [taylor]: Taking taylor expansion of y in y
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x
0.365 * [taylor]: Taking taylor expansion of 1/2 in x
0.365 * [backup-simplify]: Simplify 1/2 into 1/2
0.365 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x
0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.365 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.365 * [taylor]: Taking taylor expansion of y in x
0.365 * [backup-simplify]: Simplify y into y
0.365 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.365 * [taylor]: Taking taylor expansion of x in x
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (/ 1 1) into 1
0.366 * [taylor]: Taking taylor expansion of y in x
0.366 * [backup-simplify]: Simplify y into y
0.366 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x
0.366 * [taylor]: Taking taylor expansion of 1/2 in x
0.366 * [backup-simplify]: Simplify 1/2 into 1/2
0.366 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x
0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.366 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.366 * [taylor]: Taking taylor expansion of y in x
0.366 * [backup-simplify]: Simplify y into y
0.366 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.366 * [taylor]: Taking taylor expansion of x in x
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (/ 1 1) into 1
0.366 * [taylor]: Taking taylor expansion of y in x
0.366 * [backup-simplify]: Simplify y into y
0.367 * [backup-simplify]: Simplify (+ 0 1) into 1
0.367 * [backup-simplify]: Simplify (* 1 y) into y
0.367 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
0.367 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.367 * [taylor]: Taking taylor expansion of 1/2 in y
0.367 * [backup-simplify]: Simplify 1/2 into 1/2
0.367 * [taylor]: Taking taylor expansion of y in y
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1
0.368 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2
0.368 * [taylor]: Taking taylor expansion of 1/2 in y
0.368 * [backup-simplify]: Simplify 1/2 into 1/2
0.368 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.369 * [backup-simplify]: Simplify (+ 0 0) into 0
0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0
0.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0
0.370 * [taylor]: Taking taylor expansion of 0 in y
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1/2 into 1/2
0.371 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.371 * [backup-simplify]: Simplify 1/2 into 1/2
0.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify (+ 0 0) into 0
0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0
0.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0
0.373 * [taylor]: Taking taylor expansion of 0 in y
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0
0.376 * [taylor]: Taking taylor expansion of 0 in y
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2)
0.377 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 (- x)) (/ 1 (- y))) 2) (/ 1 (- y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y))
0.377 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0
0.377 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y
0.377 * [taylor]: Taking taylor expansion of 1/2 in y
0.377 * [backup-simplify]: Simplify 1/2 into 1/2
0.377 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y
0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.377 * [taylor]: Taking taylor expansion of y in y
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (/ 1 1) into 1
0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.377 * [taylor]: Taking taylor expansion of x in y
0.377 * [backup-simplify]: Simplify x into x
0.377 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.377 * [taylor]: Taking taylor expansion of y in y
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x
0.377 * [taylor]: Taking taylor expansion of 1/2 in x
0.377 * [backup-simplify]: Simplify 1/2 into 1/2
0.377 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x
0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.377 * [taylor]: Taking taylor expansion of y in x
0.377 * [backup-simplify]: Simplify y into y
0.377 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.377 * [taylor]: Taking taylor expansion of x in x
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (/ 1 1) into 1
0.378 * [taylor]: Taking taylor expansion of y in x
0.378 * [backup-simplify]: Simplify y into y
0.378 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x
0.378 * [taylor]: Taking taylor expansion of 1/2 in x
0.378 * [backup-simplify]: Simplify 1/2 into 1/2
0.378 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.378 * [taylor]: Taking taylor expansion of y in x
0.378 * [backup-simplify]: Simplify y into y
0.378 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.378 * [taylor]: Taking taylor expansion of x in x
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (/ 1 1) into 1
0.378 * [taylor]: Taking taylor expansion of y in x
0.378 * [backup-simplify]: Simplify y into y
0.378 * [backup-simplify]: Simplify (+ 0 1) into 1
0.378 * [backup-simplify]: Simplify (* 1 y) into y
0.378 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
0.379 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.379 * [taylor]: Taking taylor expansion of 1/2 in y
0.379 * [backup-simplify]: Simplify 1/2 into 1/2
0.379 * [taylor]: Taking taylor expansion of y in y
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1
0.380 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2
0.380 * [taylor]: Taking taylor expansion of 1/2 in y
0.380 * [backup-simplify]: Simplify 1/2 into 1/2
0.380 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ 0 0) into 0
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0
0.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0
0.382 * [taylor]: Taking taylor expansion of 0 in y
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 1/2 into 1/2
0.382 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.382 * [backup-simplify]: Simplify 1/2 into 1/2
0.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.383 * [backup-simplify]: Simplify (+ 0 0) into 0
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0
0.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0
0.384 * [taylor]: Taking taylor expansion of 0 in y
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0
0.388 * [taylor]: Taking taylor expansion of 0 in y
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2)
0.388 * * * [progress]: simplifying candidates
0.389 * [simplify]: Simplifying:
  (- (- (log (+ x y)) (log 2)) (log y))
  (- (log (/ (+ x y) 2)) (log y))
  (log (/ (/ (+ x y) 2) y))
  (exp (/ (/ (+ x y) 2) y))
  (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* 2 2) 2)) (* (* y y) y))
  (/ (* (* (/ (+ x y) 2) (/ (+ x y) 2)) (/ (+ x y) 2)) (* (* y y) y))
  (* (cbrt (/ (/ (+ x y) 2) y)) (cbrt (/ (/ (+ x y) 2) y)))
  (cbrt (/ (/ (+ x y) 2) y))
  (* (* (/ (/ (+ x y) 2) y) (/ (/ (+ x y) 2) y)) (/ (/ (+ x y) 2) y))
  (sqrt (/ (/ (+ x y) 2) y))
  (sqrt (/ (/ (+ x y) 2) y))
  (- (/ (+ x y) 2))
  (- y)
  (/ (* (cbrt (/ (+ x y) 2)) (cbrt (/ (+ x y) 2))) (* (cbrt y) (cbrt y)))
  (/ (cbrt (/ (+ x y) 2)) (cbrt y))
  (/ (* (cbrt (/ (+ x y) 2)) (cbrt (/ (+ x y) 2))) (sqrt y))
  (/ (cbrt (/ (+ x y) 2)) (sqrt y))
  (/ (* (cbrt (/ (+ x y) 2)) (cbrt (/ (+ x y) 2))) 1)
  (/ (cbrt (/ (+ x y) 2)) y)
  (/ (sqrt (/ (+ x y) 2)) (* (cbrt y) (cbrt y)))
  (/ (sqrt (/ (+ x y) 2)) (cbrt y))
  (/ (sqrt (/ (+ x y) 2)) (sqrt y))
  (/ (sqrt (/ (+ x y) 2)) (sqrt y))
  (/ (sqrt (/ (+ x y) 2)) 1)
  (/ (sqrt (/ (+ x y) 2)) y)
  (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2) (cbrt 2))) (* (cbrt y) (cbrt y)))
  (/ (/ (cbrt (+ x y)) (cbrt 2)) (cbrt y))
  (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2) (cbrt 2))) (sqrt y))
  (/ (/ (cbrt (+ x y)) (cbrt 2)) (sqrt y))
  (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2) (cbrt 2))) 1)
  (/ (/ (cbrt (+ x y)) (cbrt 2)) y)
  (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2)) (* (cbrt y) (cbrt y)))
  (/ (/ (cbrt (+ x y)) (sqrt 2)) (cbrt y))
  (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2)) (sqrt y))
  (/ (/ (cbrt (+ x y)) (sqrt 2)) (sqrt y))
  (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2)) 1)
  (/ (/ (cbrt (+ x y)) (sqrt 2)) y)
  (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (* (cbrt y) (cbrt y)))
  (/ (/ (cbrt (+ x y)) 2) (cbrt y))
  (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (sqrt y))
  (/ (/ (cbrt (+ x y)) 2) (sqrt y))
  (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) 1)
  (/ (/ (cbrt (+ x y)) 2) y)
  (/ (/ (sqrt (+ x y)) (* (cbrt 2) (cbrt 2))) (* (cbrt y) (cbrt y)))
  (/ (/ (sqrt (+ x y)) (cbrt 2)) (cbrt y))
  (/ (/ (sqrt (+ x y)) (* (cbrt 2) (cbrt 2))) (sqrt y))
  (/ (/ (sqrt (+ x y)) (cbrt 2)) (sqrt y))
  (/ (/ (sqrt (+ x y)) (* (cbrt 2) (cbrt 2))) 1)
  (/ (/ (sqrt (+ x y)) (cbrt 2)) y)
  (/ (/ (sqrt (+ x y)) (sqrt 2)) (* (cbrt y) (cbrt y)))
  (/ (/ (sqrt (+ x y)) (sqrt 2)) (cbrt y))
  (/ (/ (sqrt (+ x y)) (sqrt 2)) (sqrt y))
  (/ (/ (sqrt (+ x y)) (sqrt 2)) (sqrt y))
  (/ (/ (sqrt (+ x y)) (sqrt 2)) 1)
  (/ (/ (sqrt (+ x y)) (sqrt 2)) y)
  (/ (/ (sqrt (+ x y)) 1) (* (cbrt y) (cbrt y)))
  (/ (/ (sqrt (+ x y)) 2) (cbrt y))
  (/ (/ (sqrt (+ x y)) 1) (sqrt y))
  (/ (/ (sqrt (+ x y)) 2) (sqrt y))
  (/ (/ (sqrt (+ x y)) 1) 1)
  (/ (/ (sqrt (+ x y)) 2) y)
  (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt y) (cbrt y)))
  (/ (/ (+ x y) (cbrt 2)) (cbrt y))
  (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt y))
  (/ (/ (+ x y) (cbrt 2)) (sqrt y))
  (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)
  (/ (/ (+ x y) (cbrt 2)) y)
  (/ (/ 1 (sqrt 2)) (* (cbrt y) (cbrt y)))
  (/ (/ (+ x y) (sqrt 2)) (cbrt y))
  (/ (/ 1 (sqrt 2)) (sqrt y))
  (/ (/ (+ x y) (sqrt 2)) (sqrt y))
  (/ (/ 1 (sqrt 2)) 1)
  (/ (/ (+ x y) (sqrt 2)) y)
  (/ (/ 1 1) (* (cbrt y) (cbrt y)))
  (/ (/ (+ x y) 2) (cbrt y))
  (/ (/ 1 1) (sqrt y))
  (/ (/ (+ x y) 2) (sqrt y))
  (/ (/ 1 1) 1)
  (/ (/ (+ x y) 2) y)
  (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt y) (cbrt y)))
  (/ (/ (+ x y) (cbrt 2)) (cbrt y))
  (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt y))
  (/ (/ (+ x y) (cbrt 2)) (sqrt y))
  (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)
  (/ (/ (+ x y) (cbrt 2)) y)
  (/ (/ 1 (sqrt 2)) (* (cbrt y) (cbrt y)))
  (/ (/ (+ x y) (sqrt 2)) (cbrt y))
  (/ (/ 1 (sqrt 2)) (sqrt y))
  (/ (/ (+ x y) (sqrt 2)) (sqrt y))
  (/ (/ 1 (sqrt 2)) 1)
  (/ (/ (+ x y) (sqrt 2)) y)
  (/ (/ 1 1) (* (cbrt y) (cbrt y)))
  (/ (/ (+ x y) 2) (cbrt y))
  (/ (/ 1 1) (sqrt y))
  (/ (/ (+ x y) 2) (sqrt y))
  (/ (/ 1 1) 1)
  (/ (/ (+ x y) 2) y)
  (/ 1 (* (cbrt y) (cbrt y)))
  (/ (/ (+ x y) 2) (cbrt y))
  (/ 1 (sqrt y))
  (/ (/ (+ x y) 2) (sqrt y))
  (/ 1 1)
  (/ (/ (+ x y) 2) y)
  (/ (+ x y) (* (cbrt y) (cbrt y)))
  (/ (/ 1 2) (cbrt y))
  (/ (+ x y) (sqrt y))
  (/ (/ 1 2) (sqrt y))
  (/ (+ x y) 1)
  (/ (/ 1 2) y)
  (/ 1 y)
  (/ y (/ (+ x y) 2))
  (/ (/ (+ x y) 2) (* (cbrt y) (cbrt y)))
  (/ (/ (+ x y) 2) (sqrt y))
  (/ (/ (+ x y) 2) 1)
  (/ y (cbrt (/ (+ x y) 2)))
  (/ y (sqrt (/ (+ x y) 2)))
  (/ y (/ (cbrt (+ x y)) (cbrt 2)))
  (/ y (/ (cbrt (+ x y)) (sqrt 2)))
  (/ y (/ (cbrt (+ x y)) 2))
  (/ y (/ (sqrt (+ x y)) (cbrt 2)))
  (/ y (/ (sqrt (+ x y)) (sqrt 2)))
  (/ y (/ (sqrt (+ x y)) 2))
  (/ y (/ (+ x y) (cbrt 2)))
  (/ y (/ (+ x y) (sqrt 2)))
  (/ y (/ (+ x y) 2))
  (/ y (/ (+ x y) (cbrt 2)))
  (/ y (/ (+ x y) (sqrt 2)))
  (/ y (/ (+ x y) 2))
  (/ y (/ (+ x y) 2))
  (/ y (/ 1 2))
  (* y 2)
  (+ (* 1/2 (/ x y)) 1/2)
  (+ (* 1/2 (/ x y)) 1/2)
  (+ (* 1/2 (/ x y)) 1/2)
0.390 * [simplify]: Sending expressions to egg_math:
 (- (- (log (+ h1 h0)) (log 2)) (log h0))
 (- (log (/ (+ h1 h0) 2)) (log h0))
 (log (/ (/ (+ h1 h0) 2) h0))
 (exp (/ (/ (+ h1 h0) 2) h0))
 (/ (/ (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* 2 2) 2)) (* (* h0 h0) h0))
 (/ (* (* (/ (+ h1 h0) 2) (/ (+ h1 h0) 2)) (/ (+ h1 h0) 2)) (* (* h0 h0) h0))
 (* (cbrt (/ (/ (+ h1 h0) 2) h0)) (cbrt (/ (/ (+ h1 h0) 2) h0)))
 (cbrt (/ (/ (+ h1 h0) 2) h0))
 (* (* (/ (/ (+ h1 h0) 2) h0) (/ (/ (+ h1 h0) 2) h0)) (/ (/ (+ h1 h0) 2) h0))
 (sqrt (/ (/ (+ h1 h0) 2) h0))
 (sqrt (/ (/ (+ h1 h0) 2) h0))
 (- (/ (+ h1 h0) 2))
 (- h0)
 (/ (* (cbrt (/ (+ h1 h0) 2)) (cbrt (/ (+ h1 h0) 2))) (* (cbrt h0) (cbrt h0)))
 (/ (cbrt (/ (+ h1 h0) 2)) (cbrt h0))
 (/ (* (cbrt (/ (+ h1 h0) 2)) (cbrt (/ (+ h1 h0) 2))) (sqrt h0))
 (/ (cbrt (/ (+ h1 h0) 2)) (sqrt h0))
 (/ (* (cbrt (/ (+ h1 h0) 2)) (cbrt (/ (+ h1 h0) 2))) 1)
 (/ (cbrt (/ (+ h1 h0) 2)) h0)
 (/ (sqrt (/ (+ h1 h0) 2)) (* (cbrt h0) (cbrt h0)))
 (/ (sqrt (/ (+ h1 h0) 2)) (cbrt h0))
 (/ (sqrt (/ (+ h1 h0) 2)) (sqrt h0))
 (/ (sqrt (/ (+ h1 h0) 2)) (sqrt h0))
 (/ (sqrt (/ (+ h1 h0) 2)) 1)
 (/ (sqrt (/ (+ h1 h0) 2)) h0)
 (/ (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt 2) (cbrt 2))) (* (cbrt h0) (cbrt h0)))
 (/ (/ (cbrt (+ h1 h0)) (cbrt 2)) (cbrt h0))
 (/ (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt 2) (cbrt 2))) (sqrt h0))
 (/ (/ (cbrt (+ h1 h0)) (cbrt 2)) (sqrt h0))
 (/ (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt 2) (cbrt 2))) 1)
 (/ (/ (cbrt (+ h1 h0)) (cbrt 2)) h0)
 (/ (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt 2)) (* (cbrt h0) (cbrt h0)))
 (/ (/ (cbrt (+ h1 h0)) (sqrt 2)) (cbrt h0))
 (/ (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt 2)) (sqrt h0))
 (/ (/ (cbrt (+ h1 h0)) (sqrt 2)) (sqrt h0))
 (/ (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt 2)) 1)
 (/ (/ (cbrt (+ h1 h0)) (sqrt 2)) h0)
 (/ (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (* (cbrt h0) (cbrt h0)))
 (/ (/ (cbrt (+ h1 h0)) 2) (cbrt h0))
 (/ (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (sqrt h0))
 (/ (/ (cbrt (+ h1 h0)) 2) (sqrt h0))
 (/ (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) 1)
 (/ (/ (cbrt (+ h1 h0)) 2) h0)
 (/ (/ (sqrt (+ h1 h0)) (* (cbrt 2) (cbrt 2))) (* (cbrt h0) (cbrt h0)))
 (/ (/ (sqrt (+ h1 h0)) (cbrt 2)) (cbrt h0))
 (/ (/ (sqrt (+ h1 h0)) (* (cbrt 2) (cbrt 2))) (sqrt h0))
 (/ (/ (sqrt (+ h1 h0)) (cbrt 2)) (sqrt h0))
 (/ (/ (sqrt (+ h1 h0)) (* (cbrt 2) (cbrt 2))) 1)
 (/ (/ (sqrt (+ h1 h0)) (cbrt 2)) h0)
 (/ (/ (sqrt (+ h1 h0)) (sqrt 2)) (* (cbrt h0) (cbrt h0)))
 (/ (/ (sqrt (+ h1 h0)) (sqrt 2)) (cbrt h0))
 (/ (/ (sqrt (+ h1 h0)) (sqrt 2)) (sqrt h0))
 (/ (/ (sqrt (+ h1 h0)) (sqrt 2)) (sqrt h0))
 (/ (/ (sqrt (+ h1 h0)) (sqrt 2)) 1)
 (/ (/ (sqrt (+ h1 h0)) (sqrt 2)) h0)
 (/ (/ (sqrt (+ h1 h0)) 1) (* (cbrt h0) (cbrt h0)))
 (/ (/ (sqrt (+ h1 h0)) 2) (cbrt h0))
 (/ (/ (sqrt (+ h1 h0)) 1) (sqrt h0))
 (/ (/ (sqrt (+ h1 h0)) 2) (sqrt h0))
 (/ (/ (sqrt (+ h1 h0)) 1) 1)
 (/ (/ (sqrt (+ h1 h0)) 2) h0)
 (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt h0) (cbrt h0)))
 (/ (/ (+ h1 h0) (cbrt 2)) (cbrt h0))
 (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt h0))
 (/ (/ (+ h1 h0) (cbrt 2)) (sqrt h0))
 (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)
 (/ (/ (+ h1 h0) (cbrt 2)) h0)
 (/ (/ 1 (sqrt 2)) (* (cbrt h0) (cbrt h0)))
 (/ (/ (+ h1 h0) (sqrt 2)) (cbrt h0))
 (/ (/ 1 (sqrt 2)) (sqrt h0))
 (/ (/ (+ h1 h0) (sqrt 2)) (sqrt h0))
 (/ (/ 1 (sqrt 2)) 1)
 (/ (/ (+ h1 h0) (sqrt 2)) h0)
 (/ (/ 1 1) (* (cbrt h0) (cbrt h0)))
 (/ (/ (+ h1 h0) 2) (cbrt h0))
 (/ (/ 1 1) (sqrt h0))
 (/ (/ (+ h1 h0) 2) (sqrt h0))
 (/ (/ 1 1) 1)
 (/ (/ (+ h1 h0) 2) h0)
 (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt h0) (cbrt h0)))
 (/ (/ (+ h1 h0) (cbrt 2)) (cbrt h0))
 (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt h0))
 (/ (/ (+ h1 h0) (cbrt 2)) (sqrt h0))
 (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)
 (/ (/ (+ h1 h0) (cbrt 2)) h0)
 (/ (/ 1 (sqrt 2)) (* (cbrt h0) (cbrt h0)))
 (/ (/ (+ h1 h0) (sqrt 2)) (cbrt h0))
 (/ (/ 1 (sqrt 2)) (sqrt h0))
 (/ (/ (+ h1 h0) (sqrt 2)) (sqrt h0))
 (/ (/ 1 (sqrt 2)) 1)
 (/ (/ (+ h1 h0) (sqrt 2)) h0)
 (/ (/ 1 1) (* (cbrt h0) (cbrt h0)))
 (/ (/ (+ h1 h0) 2) (cbrt h0))
 (/ (/ 1 1) (sqrt h0))
 (/ (/ (+ h1 h0) 2) (sqrt h0))
 (/ (/ 1 1) 1)
 (/ (/ (+ h1 h0) 2) h0)
 (/ 1 (* (cbrt h0) (cbrt h0)))
 (/ (/ (+ h1 h0) 2) (cbrt h0))
 (/ 1 (sqrt h0))
 (/ (/ (+ h1 h0) 2) (sqrt h0))
 (/ 1 1)
 (/ (/ (+ h1 h0) 2) h0)
 (/ (+ h1 h0) (* (cbrt h0) (cbrt h0)))
 (/ (/ 1 2) (cbrt h0))
 (/ (+ h1 h0) (sqrt h0))
 (/ (/ 1 2) (sqrt h0))
 (/ (+ h1 h0) 1)
 (/ (/ 1 2) h0)
 (/ 1 h0)
 (/ h0 (/ (+ h1 h0) 2))
 (/ (/ (+ h1 h0) 2) (* (cbrt h0) (cbrt h0)))
 (/ (/ (+ h1 h0) 2) (sqrt h0))
 (/ (/ (+ h1 h0) 2) 1)
 (/ h0 (cbrt (/ (+ h1 h0) 2)))
 (/ h0 (sqrt (/ (+ h1 h0) 2)))
 (/ h0 (/ (cbrt (+ h1 h0)) (cbrt 2)))
 (/ h0 (/ (cbrt (+ h1 h0)) (sqrt 2)))
 (/ h0 (/ (cbrt (+ h1 h0)) 2))
 (/ h0 (/ (sqrt (+ h1 h0)) (cbrt 2)))
 (/ h0 (/ (sqrt (+ h1 h0)) (sqrt 2)))
 (/ h0 (/ (sqrt (+ h1 h0)) 2))
 (/ h0 (/ (+ h1 h0) (cbrt 2)))
 (/ h0 (/ (+ h1 h0) (sqrt 2)))
 (/ h0 (/ (+ h1 h0) 2))
 (/ h0 (/ (+ h1 h0) (cbrt 2)))
 (/ h0 (/ (+ h1 h0) (sqrt 2)))
 (/ h0 (/ (+ h1 h0) 2))
 (/ h0 (/ (+ h1 h0) 2))
 (/ h0 (/ 1 2))
 (* h0 2)
 (+ (* 1/2 (/ h1 h0)) 1/2)
 (+ (* 1/2 (/ h1 h0)) 1/2)
 (+ (* 1/2 (/ h1 h0)) 1/2)
0.480 * * * [progress]: adding candidates to table
0.628 * * [progress]: iteration 3 / 4
0.628 * * * [progress]: picking best candidate
0.630 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* 1/2 (/ x y)) 1/2))>
0.630 * * * [progress]: localizing error
0.635 * * * [progress]: generating rewritten candidates
0.635 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
0.651 * * * [progress]: generating series expansions
0.651 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
0.651 * [backup-simplify]: Simplify (* 1/2 (/ x y)) into (* 1/2 (/ x y))
0.651 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (x y) around 0
0.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.651 * [taylor]: Taking taylor expansion of 1/2 in y
0.651 * [backup-simplify]: Simplify 1/2 into 1/2
0.651 * [taylor]: Taking taylor expansion of (/ x y) in y
0.651 * [taylor]: Taking taylor expansion of x in y
0.651 * [backup-simplify]: Simplify x into x
0.651 * [taylor]: Taking taylor expansion of y in y
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify 1 into 1
0.651 * [backup-simplify]: Simplify (/ x 1) into x
0.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.651 * [taylor]: Taking taylor expansion of 1/2 in x
0.651 * [backup-simplify]: Simplify 1/2 into 1/2
0.651 * [taylor]: Taking taylor expansion of (/ x y) in x
0.651 * [taylor]: Taking taylor expansion of x in x
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify 1 into 1
0.651 * [taylor]: Taking taylor expansion of y in x
0.651 * [backup-simplify]: Simplify y into y
0.651 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.651 * [taylor]: Taking taylor expansion of 1/2 in x
0.651 * [backup-simplify]: Simplify 1/2 into 1/2
0.651 * [taylor]: Taking taylor expansion of (/ x y) in x
0.651 * [taylor]: Taking taylor expansion of x in x
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify 1 into 1
0.651 * [taylor]: Taking taylor expansion of y in x
0.651 * [backup-simplify]: Simplify y into y
0.651 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.651 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.651 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.651 * [taylor]: Taking taylor expansion of 1/2 in y
0.651 * [backup-simplify]: Simplify 1/2 into 1/2
0.651 * [taylor]: Taking taylor expansion of y in y
0.652 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify 1 into 1
0.652 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.652 * [backup-simplify]: Simplify 1/2 into 1/2
0.652 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
0.653 * [taylor]: Taking taylor expansion of 0 in y
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.654 * [taylor]: Taking taylor expansion of 0 in y
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.655 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
0.656 * [taylor]: Taking taylor expansion of 0 in y
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) x)) into (* 1/2 (/ x y))
0.656 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 x) (/ 1 y))) into (* 1/2 (/ y x))
0.656 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0
0.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.656 * [taylor]: Taking taylor expansion of 1/2 in y
0.656 * [backup-simplify]: Simplify 1/2 into 1/2
0.656 * [taylor]: Taking taylor expansion of (/ y x) in y
0.657 * [taylor]: Taking taylor expansion of y in y
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 1 into 1
0.657 * [taylor]: Taking taylor expansion of x in y
0.657 * [backup-simplify]: Simplify x into x
0.657 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.657 * [taylor]: Taking taylor expansion of 1/2 in x
0.657 * [backup-simplify]: Simplify 1/2 into 1/2
0.657 * [taylor]: Taking taylor expansion of (/ y x) in x
0.657 * [taylor]: Taking taylor expansion of y in x
0.657 * [backup-simplify]: Simplify y into y
0.657 * [taylor]: Taking taylor expansion of x in x
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 1 into 1
0.657 * [backup-simplify]: Simplify (/ y 1) into y
0.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.657 * [taylor]: Taking taylor expansion of 1/2 in x
0.657 * [backup-simplify]: Simplify 1/2 into 1/2
0.657 * [taylor]: Taking taylor expansion of (/ y x) in x
0.657 * [taylor]: Taking taylor expansion of y in x
0.657 * [backup-simplify]: Simplify y into y
0.657 * [taylor]: Taking taylor expansion of x in x
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 1 into 1
0.657 * [backup-simplify]: Simplify (/ y 1) into y
0.657 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
0.657 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.657 * [taylor]: Taking taylor expansion of 1/2 in y
0.657 * [backup-simplify]: Simplify 1/2 into 1/2
0.657 * [taylor]: Taking taylor expansion of y in y
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 1 into 1
0.658 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.658 * [backup-simplify]: Simplify 1/2 into 1/2
0.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
0.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
0.658 * [taylor]: Taking taylor expansion of 0 in y
0.658 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.659 * [backup-simplify]: Simplify 0 into 0
0.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
0.661 * [taylor]: Taking taylor expansion of 0 in y
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.661 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.663 * [taylor]: Taking taylor expansion of 0 in y
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) into (* 1/2 (/ x y))
0.663 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* 1/2 (/ y x))
0.663 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0
0.663 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.663 * [taylor]: Taking taylor expansion of 1/2 in y
0.664 * [backup-simplify]: Simplify 1/2 into 1/2
0.664 * [taylor]: Taking taylor expansion of (/ y x) in y
0.664 * [taylor]: Taking taylor expansion of y in y
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 1 into 1
0.664 * [taylor]: Taking taylor expansion of x in y
0.664 * [backup-simplify]: Simplify x into x
0.664 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.664 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.664 * [taylor]: Taking taylor expansion of 1/2 in x
0.664 * [backup-simplify]: Simplify 1/2 into 1/2
0.664 * [taylor]: Taking taylor expansion of (/ y x) in x
0.664 * [taylor]: Taking taylor expansion of y in x
0.664 * [backup-simplify]: Simplify y into y
0.664 * [taylor]: Taking taylor expansion of x in x
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 1 into 1
0.664 * [backup-simplify]: Simplify (/ y 1) into y
0.664 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.664 * [taylor]: Taking taylor expansion of 1/2 in x
0.664 * [backup-simplify]: Simplify 1/2 into 1/2
0.664 * [taylor]: Taking taylor expansion of (/ y x) in x
0.664 * [taylor]: Taking taylor expansion of y in x
0.664 * [backup-simplify]: Simplify y into y
0.664 * [taylor]: Taking taylor expansion of x in x
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 1 into 1
0.664 * [backup-simplify]: Simplify (/ y 1) into y
0.664 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
0.664 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.664 * [taylor]: Taking taylor expansion of 1/2 in y
0.664 * [backup-simplify]: Simplify 1/2 into 1/2
0.664 * [taylor]: Taking taylor expansion of y in y
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 1 into 1
0.665 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.665 * [backup-simplify]: Simplify 1/2 into 1/2
0.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
0.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
0.665 * [taylor]: Taking taylor expansion of 0 in y
0.665 * [backup-simplify]: Simplify 0 into 0
0.666 * [backup-simplify]: Simplify 0 into 0
0.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.666 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
0.667 * [taylor]: Taking taylor expansion of 0 in y
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.670 * [taylor]: Taking taylor expansion of 0 in y
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) into (* 1/2 (/ x y))
0.670 * * * [progress]: simplifying candidates
0.671 * [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))
0.671 * [simplify]: Sending expressions to egg_math:
 (* 1/2 (/ h1 h0))
 (+ (log 1/2) (- (log h1) (log h0)))
 (+ (log 1/2) (log (/ h1 h0)))
 (log (* 1/2 (/ h1 h0)))
 (exp (* 1/2 (/ h1 h0)))
 (* (* (* 1/2 1/2) 1/2) (/ (* (* h1 h1) h1) (* (* h0 h0) h0)))
 (* (* (* 1/2 1/2) 1/2) (* (* (/ h1 h0) (/ h1 h0)) (/ h1 h0)))
 (* (cbrt (* 1/2 (/ h1 h0))) (cbrt (* 1/2 (/ h1 h0))))
 (cbrt (* 1/2 (/ h1 h0)))
 (* (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0))) (* 1/2 (/ h1 h0)))
 (sqrt (* 1/2 (/ h1 h0)))
 (sqrt (* 1/2 (/ h1 h0)))
 (* (sqrt 1/2) (sqrt (/ h1 h0)))
 (* (sqrt 1/2) (sqrt (/ h1 h0)))
 (* (sqrt 1/2) (/ (sqrt h1) (sqrt h0)))
 (* (sqrt 1/2) (/ (sqrt h1) (sqrt h0)))
 (* 1/2 (* (cbrt (/ h1 h0)) (cbrt (/ h1 h0))))
 (* 1/2 (sqrt (/ h1 h0)))
 (* 1/2 (/ (* (cbrt h1) (cbrt h1)) (* (cbrt h0) (cbrt h0))))
 (* 1/2 (/ (* (cbrt h1) (cbrt h1)) (sqrt h0)))
 (* 1/2 (/ (* (cbrt h1) (cbrt h1)) 1))
 (* 1/2 (/ (sqrt h1) (* (cbrt h0) (cbrt h0))))
 (* 1/2 (/ (sqrt h1) (sqrt h0)))
 (* 1/2 (/ (sqrt h1) 1))
 (* 1/2 (/ 1 (* (cbrt h0) (cbrt h0))))
 (* 1/2 (/ 1 (sqrt h0)))
 (* 1/2 (/ 1 1))
 (* 1/2 1)
 (* 1/2 h1)
 (* (cbrt 1/2) (/ h1 h0))
 (* (sqrt 1/2) (/ h1 h0))
 (* 1/2 (/ h1 h0))
 (* 1/2 h1)
 (* 1/2 (/ h1 h0))
 (* 1/2 (/ h1 h0))
 (* 1/2 (/ h1 h0))
0.731 * * * [progress]: adding candidates to table
0.826 * [progress]: [Phase 3 of 3] Extracting.
0.826 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ (* 1/2 (/ x y)) 1/2))> #<alt (λ (x y) (/ (/ (+ x y) 2) y))>)
0.826 * * * [regime-changes]: Trying 2 branch expressions: (y x)
0.826 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ (* 1/2 (/ x y)) 1/2))> #<alt (λ (x y) (/ (/ (+ x y) 2) y))>)
0.839 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ (* 1/2 (/ x y)) 1/2))> #<alt (λ (x y) (/ (/ (+ x y) 2) y))>)
0.850 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
0.850 * [simplify]: Simplifying:
  (/ (/ (+ x y) 2) y)
0.850 * [simplify]: Sending expressions to egg_math:
 (/ (/ (+ h1 h0) 2) h0)
1.431 * [regime-testing]: Baseline error score: 0.014501812726590823
1.433 * [regime-testing]: Oracle error score: 0.0006250781347668458
1.437 * [regime-testing]: End program error score: 0.014501812726590823
1.459 * [regime-testing]: Target error score: 0.017950364108103658