11.585 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.029 * * * [progress]: [2/2] Setting up program.
0.031 * [progress]: [Phase 2 of 3] Improving.
0.032 * [simplify]: Simplifying:
  (/ (+ x y) (+ y y))
0.032 * [simplify]: Sending expressions to egg_math:
 (/ (+ h1 h0) (+ h0 h0))
0.034 * * [progress]: iteration 1 / 4
0.034 * * * [progress]: picking best candidate
0.035 * * * * [pick]: Picked  #<alt (λ (x y) (/ (+ x y) (+ y y)))>
0.035 * * * [progress]: localizing error
0.044 * * * [progress]: generating rewritten candidates
0.044 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.095 * * * [progress]: generating series expansions
0.095 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.096 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y))
0.096 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0
0.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y
0.096 * [taylor]: Taking taylor expansion of 1/2 in y
0.096 * [backup-simplify]: Simplify 1/2 into 1/2
0.096 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y
0.096 * [taylor]: Taking taylor expansion of (+ x y) in y
0.096 * [taylor]: Taking taylor expansion of x in y
0.096 * [backup-simplify]: Simplify x into x
0.096 * [taylor]: Taking taylor expansion of y in y
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [taylor]: Taking taylor expansion of y in y
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (+ x 0) into x
0.096 * [backup-simplify]: Simplify (/ x 1) into x
0.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x
0.096 * [taylor]: Taking taylor expansion of 1/2 in x
0.096 * [backup-simplify]: Simplify 1/2 into 1/2
0.096 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x
0.096 * [taylor]: Taking taylor expansion of (+ x y) in x
0.096 * [taylor]: Taking taylor expansion of x in x
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [taylor]: Taking taylor expansion of y in x
0.096 * [backup-simplify]: Simplify y into y
0.096 * [taylor]: Taking taylor expansion of y in x
0.096 * [backup-simplify]: Simplify y into y
0.096 * [backup-simplify]: Simplify (+ 0 y) into y
0.096 * [backup-simplify]: Simplify (/ y y) into 1
0.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x
0.096 * [taylor]: Taking taylor expansion of 1/2 in x
0.096 * [backup-simplify]: Simplify 1/2 into 1/2
0.096 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x
0.096 * [taylor]: Taking taylor expansion of (+ x y) in x
0.096 * [taylor]: Taking taylor expansion of x in x
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [taylor]: Taking taylor expansion of y in x
0.096 * [backup-simplify]: Simplify y into y
0.096 * [taylor]: Taking taylor expansion of y in x
0.096 * [backup-simplify]: Simplify y into y
0.096 * [backup-simplify]: Simplify (+ 0 y) into y
0.097 * [backup-simplify]: Simplify (/ y y) into 1
0.097 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.097 * [taylor]: Taking taylor expansion of 1/2 in y
0.097 * [backup-simplify]: Simplify 1/2 into 1/2
0.098 * [backup-simplify]: Simplify (+ 1 0) into 1
0.098 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y)
0.098 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y))
0.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.098 * [taylor]: Taking taylor expansion of 1/2 in y
0.098 * [backup-simplify]: Simplify 1/2 into 1/2
0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.098 * [taylor]: Taking taylor expansion of y in y
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (/ 1 1) into 1
0.099 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.099 * [backup-simplify]: Simplify 1/2 into 1/2
0.099 * [backup-simplify]: Simplify 1/2 into 1/2
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0
0.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) 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 (- (+ (* 1 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
0.102 * [taylor]: Taking taylor expansion of 0 in y
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0
0.105 * [taylor]: Taking taylor expansion of 0 in y
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2)
0.105 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y))
0.105 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0
0.105 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y
0.105 * [taylor]: Taking taylor expansion of 1/2 in y
0.105 * [backup-simplify]: Simplify 1/2 into 1/2
0.105 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y
0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.105 * [taylor]: Taking taylor expansion of y in y
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.105 * [taylor]: Taking taylor expansion of x in y
0.106 * [backup-simplify]: Simplify x into x
0.106 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.106 * [taylor]: Taking taylor expansion of y in y
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x
0.106 * [taylor]: Taking taylor expansion of 1/2 in x
0.106 * [backup-simplify]: Simplify 1/2 into 1/2
0.106 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x
0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.106 * [taylor]: Taking taylor expansion of y in x
0.106 * [backup-simplify]: Simplify y into y
0.106 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.106 * [taylor]: Taking taylor expansion of x in x
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [backup-simplify]: Simplify (/ 1 1) into 1
0.106 * [taylor]: Taking taylor expansion of y in x
0.106 * [backup-simplify]: Simplify y into y
0.106 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x
0.106 * [taylor]: Taking taylor expansion of 1/2 in x
0.106 * [backup-simplify]: Simplify 1/2 into 1/2
0.106 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x
0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.106 * [taylor]: Taking taylor expansion of y in x
0.106 * [backup-simplify]: Simplify y into y
0.106 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.106 * [taylor]: Taking taylor expansion of x in x
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (/ 1 1) into 1
0.107 * [taylor]: Taking taylor expansion of y in x
0.107 * [backup-simplify]: Simplify y into y
0.107 * [backup-simplify]: Simplify (+ 0 1) into 1
0.107 * [backup-simplify]: Simplify (* 1 y) into y
0.107 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
0.107 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.107 * [taylor]: Taking taylor expansion of 1/2 in y
0.107 * [backup-simplify]: Simplify 1/2 into 1/2
0.107 * [taylor]: Taking taylor expansion of y in y
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1
0.108 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2
0.108 * [taylor]: Taking taylor expansion of 1/2 in y
0.108 * [backup-simplify]: Simplify 1/2 into 1/2
0.109 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0
0.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0
0.111 * [taylor]: Taking taylor expansion of 0 in y
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1/2 into 1/2
0.111 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.111 * [backup-simplify]: Simplify 1/2 into 1/2
0.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0
0.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0
0.114 * [taylor]: Taking taylor expansion of 0 in y
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0
0.117 * [taylor]: Taking taylor expansion of 0 in y
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2)
0.117 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y))
0.117 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0
0.117 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y
0.117 * [taylor]: Taking taylor expansion of 1/2 in y
0.117 * [backup-simplify]: Simplify 1/2 into 1/2
0.117 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y
0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.117 * [taylor]: Taking taylor expansion of y in y
0.117 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify (/ 1 1) into 1
0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.118 * [taylor]: Taking taylor expansion of x in y
0.118 * [backup-simplify]: Simplify x into x
0.118 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.118 * [taylor]: Taking taylor expansion of y in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x
0.118 * [taylor]: Taking taylor expansion of 1/2 in x
0.118 * [backup-simplify]: Simplify 1/2 into 1/2
0.118 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x
0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.118 * [taylor]: Taking taylor expansion of y in x
0.118 * [backup-simplify]: Simplify y into y
0.118 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.118 * [taylor]: Taking taylor expansion of x in x
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify (/ 1 1) into 1
0.118 * [taylor]: Taking taylor expansion of y in x
0.118 * [backup-simplify]: Simplify y into y
0.118 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x
0.118 * [taylor]: Taking taylor expansion of 1/2 in x
0.118 * [backup-simplify]: Simplify 1/2 into 1/2
0.118 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x
0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.118 * [taylor]: Taking taylor expansion of y in x
0.119 * [backup-simplify]: Simplify y into y
0.119 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.119 * [taylor]: Taking taylor expansion of x in x
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (/ 1 1) into 1
0.119 * [taylor]: Taking taylor expansion of y in x
0.119 * [backup-simplify]: Simplify y into y
0.119 * [backup-simplify]: Simplify (+ 0 1) into 1
0.119 * [backup-simplify]: Simplify (* 1 y) into y
0.119 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
0.119 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.119 * [taylor]: Taking taylor expansion of 1/2 in y
0.119 * [backup-simplify]: Simplify 1/2 into 1/2
0.119 * [taylor]: Taking taylor expansion of y in y
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1
0.120 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2
0.121 * [taylor]: Taking taylor expansion of 1/2 in y
0.121 * [backup-simplify]: Simplify 1/2 into 1/2
0.121 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0
0.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0
0.123 * [taylor]: Taking taylor expansion of 0 in y
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 1/2 into 1/2
0.123 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.123 * [backup-simplify]: Simplify 1/2 into 1/2
0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0
0.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0
0.127 * [taylor]: Taking taylor expansion of 0 in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0
0.132 * [taylor]: Taking taylor expansion of 0 in y
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2)
0.132 * * * [progress]: simplifying candidates
0.134 * [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)
0.140 * [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))
0.196 * * * [progress]: adding candidates to table
0.313 * * [progress]: iteration 2 / 4
0.313 * * * [progress]: picking best candidate
0.314 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* 1/2 (/ x y)) 1/2))>
0.315 * * * [progress]: localizing error
0.320 * * * [progress]: generating rewritten candidates
0.320 * * * [progress]: generating series expansions
0.320 * * * [progress]: simplifying candidates
0.320 * [simplify]: Simplifying:
  
0.320 * [simplify]: Sending expressions to egg_math:
 
0.321 * * * [progress]: adding candidates to table
0.321 * [progress]: [Phase 3 of 3] Extracting.
0.323 * [simplify]: Simplifying:
  (+ (* 1/2 (/ x y)) 1/2)
0.323 * [simplify]: Sending expressions to egg_math:
 (+ (* (/ 1 2) (/ h1 h0)) (/ 1 2))
1.006 * [regime-testing]: Baseline error score: 0.033716769560962756
1.008 * [regime-testing]: Oracle error score: 0.033716769560962756
1.008 * [regime-testing]: End program error score: 0.033716769560962756
1.031 * [regime-testing]: Target error score: 0.033716769560962756