15.793 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.032 * * * [progress]: [2/2] Setting up program.
0.035 * [progress]: [Phase 2 of 3] Improving.
0.036 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.036 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (* h1 h1) h0))
0.040 * * [progress]: iteration 1 / 4
0.040 * * * [progress]: picking best candidate
0.042 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.043 * * * [progress]: localizing error
0.053 * * * [progress]: generating rewritten candidates
0.053 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.072 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.087 * * * [progress]: generating series expansions
0.087 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.087 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.087 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.087 * [taylor]: Taking taylor expansion of x in y
0.087 * [backup-simplify]: Simplify x into x
0.087 * [taylor]: Taking taylor expansion of y in y
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.088 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.088 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.088 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.089 * [backup-simplify]: Simplify (+ 0 1) into 1
0.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.090 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 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 y) into y
0.090 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.091 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.091 * [taylor]: Taking taylor expansion of x in x
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [taylor]: Taking taylor expansion of y in x
0.091 * [backup-simplify]: Simplify y into y
0.091 * [backup-simplify]: Simplify (+ 0 y) into y
0.091 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.092 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.092 * [taylor]: Taking taylor expansion of y in y
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (sqrt 0) into 0
0.094 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.095 * [backup-simplify]: Simplify (* 1 1) into 1
0.095 * [backup-simplify]: Simplify (+ 1 0) into 1
0.096 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.096 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 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 (sqrt (/ 1 y)) in y
0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y
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
0.097 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [backup-simplify]: Simplify (sqrt 0) into 0
0.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.100 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.100 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.100 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.103 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.104 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
0.104 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.104 * [taylor]: Taking taylor expansion of x in y
0.104 * [backup-simplify]: Simplify x into x
0.104 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.105 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
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 * [backup-simplify]: Simplify (+ 0 1) into 1
0.106 * [backup-simplify]: Simplify (sqrt 0) into 0
0.107 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.107 * [taylor]: Taking taylor expansion of x in x
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (* 1 1) into 1
0.108 * [backup-simplify]: Simplify (/ 1 1) into 1
0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.108 * [taylor]: Taking taylor expansion of y in x
0.108 * [backup-simplify]: Simplify y into y
0.108 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.109 * [backup-simplify]: Simplify (+ 1 0) into 1
0.109 * [backup-simplify]: Simplify (sqrt 1) into 1
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.112 * [taylor]: Taking taylor expansion of x in x
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (* 1 1) into 1
0.112 * [backup-simplify]: Simplify (/ 1 1) into 1
0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.112 * [taylor]: Taking taylor expansion of y in x
0.112 * [backup-simplify]: Simplify y into y
0.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.113 * [backup-simplify]: Simplify (+ 1 0) into 1
0.113 * [backup-simplify]: Simplify (sqrt 1) into 1
0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.116 * [taylor]: Taking taylor expansion of 1 in y
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [taylor]: Taking taylor expansion of 0 in y
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.129 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.129 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.129 * [taylor]: Taking taylor expansion of 1/2 in y
0.129 * [backup-simplify]: Simplify 1/2 into 1/2
0.130 * [taylor]: Taking taylor expansion of y in y
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.130 * [backup-simplify]: Simplify 1/2 into 1/2
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.132 * [taylor]: Taking taylor expansion of 0 in y
0.132 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.136 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.136 * [taylor]: Taking taylor expansion of -1/8 in y
0.136 * [backup-simplify]: Simplify -1/8 into -1/8
0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.136 * [taylor]: Taking taylor expansion of y in y
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (* 1 1) into 1
0.136 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.138 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.138 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.138 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.138 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.138 * [taylor]: Taking taylor expansion of x in y
0.138 * [backup-simplify]: Simplify x into x
0.138 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.138 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.138 * [taylor]: Taking taylor expansion of y in y
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.138 * [backup-simplify]: Simplify (/ 1 1) into 1
0.138 * [backup-simplify]: Simplify (- 1) into -1
0.139 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.139 * [backup-simplify]: Simplify (sqrt 0) into 0
0.140 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.140 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.140 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.140 * [taylor]: Taking taylor expansion of x in x
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (* 1 1) into 1
0.140 * [backup-simplify]: Simplify (/ 1 1) into 1
0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.140 * [taylor]: Taking taylor expansion of y in x
0.140 * [backup-simplify]: Simplify y into y
0.140 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.141 * [backup-simplify]: Simplify (+ 1 0) into 1
0.141 * [backup-simplify]: Simplify (sqrt 1) into 1
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.142 * [backup-simplify]: Simplify (+ 0 0) into 0
0.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.142 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.143 * [taylor]: Taking taylor expansion of x in x
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify (* 1 1) into 1
0.143 * [backup-simplify]: Simplify (/ 1 1) into 1
0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.143 * [taylor]: Taking taylor expansion of y in x
0.143 * [backup-simplify]: Simplify y into y
0.143 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.143 * [backup-simplify]: Simplify (+ 1 0) into 1
0.144 * [backup-simplify]: Simplify (sqrt 1) into 1
0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.145 * [taylor]: Taking taylor expansion of 1 in y
0.145 * [backup-simplify]: Simplify 1 into 1
0.145 * [taylor]: Taking taylor expansion of 0 in y
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.146 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.147 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.147 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.147 * [taylor]: Taking taylor expansion of -1/2 in y
0.147 * [backup-simplify]: Simplify -1/2 into -1/2
0.147 * [taylor]: Taking taylor expansion of y in y
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.148 * [backup-simplify]: Simplify -1/2 into -1/2
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.149 * [backup-simplify]: Simplify (- 0) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.150 * [taylor]: Taking taylor expansion of 0 in y
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.152 * [backup-simplify]: Simplify (- 0) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.153 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.153 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.153 * [taylor]: Taking taylor expansion of -1/8 in y
0.153 * [backup-simplify]: Simplify -1/8 into -1/8
0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.153 * [taylor]: Taking taylor expansion of y in y
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (* 1 1) into 1
0.154 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.154 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.155 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.155 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.155 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.155 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.155 * [taylor]: Taking taylor expansion of x in y
0.155 * [backup-simplify]: Simplify x into x
0.155 * [taylor]: Taking taylor expansion of y in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.155 * [taylor]: Taking taylor expansion of x in x
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of y in x
0.155 * [backup-simplify]: Simplify y into y
0.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.155 * [taylor]: Taking taylor expansion of x in x
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of y in x
0.155 * [backup-simplify]: Simplify y into y
0.155 * [backup-simplify]: Simplify (+ 0 y) into y
0.155 * [taylor]: Taking taylor expansion of y in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.156 * [taylor]: Taking taylor expansion of 0 in y
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify (* 1 1) into 1
0.156 * [backup-simplify]: Simplify (+ 1 0) into 1
0.156 * [taylor]: Taking taylor expansion of 1 in y
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [taylor]: Taking taylor expansion of 0 in y
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
0.158 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
0.158 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.158 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.158 * [taylor]: Taking taylor expansion of x in y
0.158 * [backup-simplify]: Simplify x into x
0.158 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.158 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.158 * [taylor]: Taking taylor expansion of y in y
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (/ 1 1) into 1
0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.158 * [taylor]: Taking taylor expansion of x in x
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (* 1 1) into 1
0.159 * [backup-simplify]: Simplify (/ 1 1) into 1
0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.159 * [taylor]: Taking taylor expansion of y in x
0.159 * [backup-simplify]: Simplify y into y
0.159 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.159 * [taylor]: Taking taylor expansion of x in x
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [backup-simplify]: Simplify (* 1 1) into 1
0.159 * [backup-simplify]: Simplify (/ 1 1) into 1
0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.159 * [taylor]: Taking taylor expansion of y in x
0.159 * [backup-simplify]: Simplify y into y
0.159 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.160 * [backup-simplify]: Simplify (+ 1 0) into 1
0.160 * [taylor]: Taking taylor expansion of 1 in y
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [taylor]: Taking taylor expansion of 0 in y
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.162 * [taylor]: Taking taylor expansion of y in y
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (/ 1 1) into 1
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [taylor]: Taking taylor expansion of 0 in y
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [taylor]: Taking taylor expansion of 0 in y
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
0.166 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.166 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.167 * [taylor]: Taking taylor expansion of x in y
0.167 * [backup-simplify]: Simplify x into x
0.167 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.167 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.167 * [taylor]: Taking taylor expansion of y in y
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (/ 1 1) into 1
0.167 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.167 * [taylor]: Taking taylor expansion of x in x
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (* 1 1) into 1
0.168 * [backup-simplify]: Simplify (/ 1 1) into 1
0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.168 * [taylor]: Taking taylor expansion of y in x
0.168 * [backup-simplify]: Simplify y into y
0.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.168 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.168 * [taylor]: Taking taylor expansion of x in x
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (* 1 1) into 1
0.168 * [backup-simplify]: Simplify (/ 1 1) into 1
0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.168 * [taylor]: Taking taylor expansion of y in x
0.168 * [backup-simplify]: Simplify y into y
0.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.169 * [backup-simplify]: Simplify (+ 1 0) into 1
0.169 * [taylor]: Taking taylor expansion of 1 in y
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.170 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [taylor]: Taking taylor expansion of 0 in y
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.171 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.171 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.171 * [taylor]: Taking taylor expansion of y in y
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [backup-simplify]: Simplify (- 1) into -1
0.172 * [backup-simplify]: Simplify -1 into -1
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.173 * [backup-simplify]: Simplify (- 0) into 0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [taylor]: Taking taylor expansion of 0 in y
0.173 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (- 0) into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.176 * [backup-simplify]: Simplify (- 0) into 0
0.176 * [backup-simplify]: Simplify (+ 0 0) into 0
0.176 * [taylor]: Taking taylor expansion of 0 in y
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.176 * * * [progress]: simplifying candidates
0.177 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (* (exp (* x x)) (exp y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))
  (- (* (* x x) (* x x)) (* y y))
  (- (* x x) y)
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
0.177 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) h0)))
 (exp (sqrt (+ (* h1 h1) h0)))
 (* (cbrt (sqrt (+ (* h1 h1) h0))) (cbrt (sqrt (+ (* h1 h1) h0))))
 (cbrt (sqrt (+ (* h1 h1) h0)))
 (* (* (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0))) (sqrt (+ (* h1 h1) h0)))
 (sqrt (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0))))
 (sqrt (cbrt (+ (* h1 h1) h0)))
 (sqrt (sqrt (+ (* h1 h1) h0)))
 (sqrt (sqrt (+ (* h1 h1) h0)))
 (sqrt 1)
 (sqrt (+ (* h1 h1) h0))
 (sqrt (+ (pow (* h1 h1) 3) (pow h0 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0)))
 (sqrt (- (* h1 h1) h0))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) h0)))
 (sqrt (sqrt (+ (* h1 h1) h0)))
 (* (exp (* h1 h1)) (exp h0))
 (log (+ (* h1 h1) h0))
 (exp (+ (* h1 h1) h0))
 (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0)))
 (cbrt (+ (* h1 h1) h0))
 (* (* (+ (* h1 h1) h0) (+ (* h1 h1) h0)) (+ (* h1 h1) h0))
 (sqrt (+ (* h1 h1) h0))
 (sqrt (+ (* h1 h1) h0))
 (+ (pow (* h1 h1) 3) (pow h0 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0)))
 (- (* (* h1 h1) (* h1 h1)) (* h0 h0))
 (- (* h1 h1) h0)
 (- (+ (* h2 (pow h1 2)) (- (+ (* h2 (pow h0 2)) (- (* h2 h0))))))
 (+ h1 (* 1/2 (/ h0 h1)))
 (- (+ h1 (* 1/2 (/ h0 h1))))
 (+ (pow h1 2) h0)
 (+ (pow h1 2) h0)
 (+ (pow h1 2) h0)
0.223 * * * [progress]: adding candidates to table
0.300 * * [progress]: iteration 2 / 4
0.300 * * * [progress]: picking best candidate
0.303 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.303 * * * [progress]: localizing error
0.308 * * * [progress]: generating rewritten candidates
0.308 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2)
0.328 * * * [progress]: generating series expansions
0.328 * * * * [progress]: [ 1 / 1 ] generating series at (2 2)
0.328 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x))
0.328 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0
0.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.328 * [taylor]: Taking taylor expansion of 1/2 in x
0.328 * [backup-simplify]: Simplify 1/2 into 1/2
0.328 * [taylor]: Taking taylor expansion of (/ y x) in x
0.328 * [taylor]: Taking taylor expansion of y in x
0.328 * [backup-simplify]: Simplify y into y
0.328 * [taylor]: Taking taylor expansion of x in x
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (/ y 1) into y
0.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.328 * [taylor]: Taking taylor expansion of 1/2 in y
0.328 * [backup-simplify]: Simplify 1/2 into 1/2
0.328 * [taylor]: Taking taylor expansion of (/ y x) in y
0.328 * [taylor]: Taking taylor expansion of y in y
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [taylor]: Taking taylor expansion of x in y
0.328 * [backup-simplify]: Simplify x into x
0.328 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.328 * [taylor]: Taking taylor expansion of 1/2 in y
0.328 * [backup-simplify]: Simplify 1/2 into 1/2
0.328 * [taylor]: Taking taylor expansion of (/ y x) in y
0.328 * [taylor]: Taking taylor expansion of y in y
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [taylor]: Taking taylor expansion of x in y
0.328 * [backup-simplify]: Simplify x into x
0.328 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.328 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
0.328 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.328 * [taylor]: Taking taylor expansion of 1/2 in x
0.328 * [backup-simplify]: Simplify 1/2 into 1/2
0.328 * [taylor]: Taking taylor expansion of x in x
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.329 * [backup-simplify]: Simplify 1/2 into 1/2
0.329 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0
0.330 * [taylor]: Taking taylor expansion of 0 in x
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.331 * [taylor]: Taking taylor expansion of 0 in x
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
0.333 * [taylor]: Taking taylor expansion of 0 in x
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x))
0.334 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y))
0.334 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.334 * [taylor]: Taking taylor expansion of 1/2 in x
0.334 * [backup-simplify]: Simplify 1/2 into 1/2
0.334 * [taylor]: Taking taylor expansion of (/ x y) in x
0.334 * [taylor]: Taking taylor expansion of x in x
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [taylor]: Taking taylor expansion of y in x
0.334 * [backup-simplify]: Simplify y into y
0.334 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.334 * [taylor]: Taking taylor expansion of 1/2 in y
0.334 * [backup-simplify]: Simplify 1/2 into 1/2
0.334 * [taylor]: Taking taylor expansion of (/ x y) in y
0.334 * [taylor]: Taking taylor expansion of x in y
0.334 * [backup-simplify]: Simplify x into x
0.334 * [taylor]: Taking taylor expansion of y in y
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (/ x 1) into x
0.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.334 * [taylor]: Taking taylor expansion of 1/2 in y
0.334 * [backup-simplify]: Simplify 1/2 into 1/2
0.334 * [taylor]: Taking taylor expansion of (/ x y) in y
0.334 * [taylor]: Taking taylor expansion of x in y
0.334 * [backup-simplify]: Simplify x into x
0.334 * [taylor]: Taking taylor expansion of y in y
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (/ x 1) into x
0.334 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
0.334 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.334 * [taylor]: Taking taylor expansion of 1/2 in x
0.334 * [backup-simplify]: Simplify 1/2 into 1/2
0.334 * [taylor]: Taking taylor expansion of x in x
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.335 * [backup-simplify]: Simplify 1/2 into 1/2
0.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
0.336 * [taylor]: Taking taylor expansion of 0 in x
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.336 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
0.338 * [taylor]: Taking taylor expansion of 0 in x
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
0.340 * [taylor]: Taking taylor expansion of 0 in x
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x))
0.340 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y))
0.340 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.340 * [taylor]: Taking taylor expansion of 1/2 in x
0.340 * [backup-simplify]: Simplify 1/2 into 1/2
0.340 * [taylor]: Taking taylor expansion of (/ x y) in x
0.340 * [taylor]: Taking taylor expansion of x in x
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [taylor]: Taking taylor expansion of y in x
0.341 * [backup-simplify]: Simplify y into y
0.341 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.341 * [taylor]: Taking taylor expansion of 1/2 in y
0.341 * [backup-simplify]: Simplify 1/2 into 1/2
0.341 * [taylor]: Taking taylor expansion of (/ x y) in y
0.341 * [taylor]: Taking taylor expansion of x in y
0.341 * [backup-simplify]: Simplify x into x
0.341 * [taylor]: Taking taylor expansion of y in y
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (/ x 1) into x
0.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.341 * [taylor]: Taking taylor expansion of 1/2 in y
0.341 * [backup-simplify]: Simplify 1/2 into 1/2
0.341 * [taylor]: Taking taylor expansion of (/ x y) in y
0.341 * [taylor]: Taking taylor expansion of x in y
0.341 * [backup-simplify]: Simplify x into x
0.341 * [taylor]: Taking taylor expansion of y in y
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (/ x 1) into x
0.341 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
0.341 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.341 * [taylor]: Taking taylor expansion of 1/2 in x
0.341 * [backup-simplify]: Simplify 1/2 into 1/2
0.341 * [taylor]: Taking taylor expansion of x in x
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.342 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.342 * [backup-simplify]: Simplify 1/2 into 1/2
0.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
0.342 * [taylor]: Taking taylor expansion of 0 in x
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
0.344 * [taylor]: Taking taylor expansion of 0 in x
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
0.347 * [taylor]: Taking taylor expansion of 0 in x
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x))
0.347 * * * [progress]: simplifying candidates
0.348 * [simplify]: Simplifying:
  (* 1/2 (/ y x))
  (+ (log 1/2) (- (log y) (log x)))
  (+ (log 1/2) (log (/ y x)))
  (log (* 1/2 (/ y x)))
  (exp (* 1/2 (/ y x)))
  (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x)))
  (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x)))
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) 1))
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* 1/2 (/ (sqrt y) 1))
  (* 1/2 (/ 1 (* (cbrt x) (cbrt x))))
  (* 1/2 (/ 1 (sqrt x)))
  (* 1/2 (/ 1 1))
  (* 1/2 1)
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.348 * [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))
0.409 * * * [progress]: adding candidates to table
0.472 * * [progress]: iteration 3 / 4
0.472 * * * [progress]: picking best candidate
0.473 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.473 * * * [progress]: localizing error
0.479 * * * [progress]: generating rewritten candidates
0.479 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2)
0.496 * * * [progress]: generating series expansions
0.496 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2)
0.496 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x))
0.496 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0
0.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.496 * [taylor]: Taking taylor expansion of 1/2 in x
0.496 * [backup-simplify]: Simplify 1/2 into 1/2
0.496 * [taylor]: Taking taylor expansion of (/ y x) in x
0.496 * [taylor]: Taking taylor expansion of y in x
0.496 * [backup-simplify]: Simplify y into y
0.496 * [taylor]: Taking taylor expansion of x in x
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.496 * [backup-simplify]: Simplify (/ y 1) into y
0.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.496 * [taylor]: Taking taylor expansion of 1/2 in y
0.496 * [backup-simplify]: Simplify 1/2 into 1/2
0.496 * [taylor]: Taking taylor expansion of (/ y x) in y
0.496 * [taylor]: Taking taylor expansion of y in y
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.496 * [taylor]: Taking taylor expansion of x in y
0.496 * [backup-simplify]: Simplify x into x
0.496 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.496 * [taylor]: Taking taylor expansion of 1/2 in y
0.496 * [backup-simplify]: Simplify 1/2 into 1/2
0.496 * [taylor]: Taking taylor expansion of (/ y x) in y
0.496 * [taylor]: Taking taylor expansion of y in y
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.496 * [taylor]: Taking taylor expansion of x in y
0.496 * [backup-simplify]: Simplify x into x
0.497 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.497 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
0.497 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.497 * [taylor]: Taking taylor expansion of 1/2 in x
0.497 * [backup-simplify]: Simplify 1/2 into 1/2
0.497 * [taylor]: Taking taylor expansion of x in x
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.497 * [backup-simplify]: Simplify 1/2 into 1/2
0.497 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0
0.498 * [taylor]: Taking taylor expansion of 0 in x
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.499 * [taylor]: Taking taylor expansion of 0 in x
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
0.501 * [taylor]: Taking taylor expansion of 0 in x
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x))
0.502 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y))
0.502 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.502 * [taylor]: Taking taylor expansion of 1/2 in x
0.502 * [backup-simplify]: Simplify 1/2 into 1/2
0.502 * [taylor]: Taking taylor expansion of (/ x y) in x
0.502 * [taylor]: Taking taylor expansion of x in x
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [taylor]: Taking taylor expansion of y in x
0.502 * [backup-simplify]: Simplify y into y
0.502 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.502 * [taylor]: Taking taylor expansion of 1/2 in y
0.502 * [backup-simplify]: Simplify 1/2 into 1/2
0.502 * [taylor]: Taking taylor expansion of (/ x y) in y
0.502 * [taylor]: Taking taylor expansion of x in y
0.502 * [backup-simplify]: Simplify x into x
0.502 * [taylor]: Taking taylor expansion of y in y
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [backup-simplify]: Simplify (/ x 1) into x
0.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.502 * [taylor]: Taking taylor expansion of 1/2 in y
0.502 * [backup-simplify]: Simplify 1/2 into 1/2
0.502 * [taylor]: Taking taylor expansion of (/ x y) in y
0.502 * [taylor]: Taking taylor expansion of x in y
0.502 * [backup-simplify]: Simplify x into x
0.502 * [taylor]: Taking taylor expansion of y in y
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [backup-simplify]: Simplify (/ x 1) into x
0.502 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
0.502 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.502 * [taylor]: Taking taylor expansion of 1/2 in x
0.502 * [backup-simplify]: Simplify 1/2 into 1/2
0.502 * [taylor]: Taking taylor expansion of x in x
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.503 * [backup-simplify]: Simplify 1/2 into 1/2
0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
0.504 * [taylor]: Taking taylor expansion of 0 in x
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.504 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
0.506 * [taylor]: Taking taylor expansion of 0 in x
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.506 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
0.508 * [taylor]: Taking taylor expansion of 0 in x
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x))
0.509 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y))
0.509 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.509 * [taylor]: Taking taylor expansion of 1/2 in x
0.509 * [backup-simplify]: Simplify 1/2 into 1/2
0.509 * [taylor]: Taking taylor expansion of (/ x y) in x
0.509 * [taylor]: Taking taylor expansion of x in x
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.509 * [taylor]: Taking taylor expansion of y in x
0.509 * [backup-simplify]: Simplify y into y
0.509 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.509 * [taylor]: Taking taylor expansion of 1/2 in y
0.509 * [backup-simplify]: Simplify 1/2 into 1/2
0.509 * [taylor]: Taking taylor expansion of (/ x y) in y
0.509 * [taylor]: Taking taylor expansion of x in y
0.509 * [backup-simplify]: Simplify x into x
0.509 * [taylor]: Taking taylor expansion of y in y
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (/ x 1) into x
0.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.509 * [taylor]: Taking taylor expansion of 1/2 in y
0.509 * [backup-simplify]: Simplify 1/2 into 1/2
0.509 * [taylor]: Taking taylor expansion of (/ x y) in y
0.509 * [taylor]: Taking taylor expansion of x in y
0.509 * [backup-simplify]: Simplify x into x
0.509 * [taylor]: Taking taylor expansion of y in y
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (/ x 1) into x
0.509 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
0.509 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.509 * [taylor]: Taking taylor expansion of 1/2 in x
0.509 * [backup-simplify]: Simplify 1/2 into 1/2
0.509 * [taylor]: Taking taylor expansion of x in x
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.510 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.510 * [backup-simplify]: Simplify 1/2 into 1/2
0.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
0.511 * [taylor]: Taking taylor expansion of 0 in x
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.511 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
0.513 * [taylor]: Taking taylor expansion of 0 in x
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
0.521 * [taylor]: Taking taylor expansion of 0 in x
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x))
0.521 * * * [progress]: simplifying candidates
0.522 * [simplify]: Simplifying:
  (* 1/2 (/ y x))
  (+ (log 1/2) (- (log y) (log x)))
  (+ (log 1/2) (log (/ y x)))
  (log (* 1/2 (/ y x)))
  (exp (* 1/2 (/ y x)))
  (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x)))
  (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x)))
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) 1))
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* 1/2 (/ (sqrt y) 1))
  (* 1/2 (/ 1 (* (cbrt x) (cbrt x))))
  (* 1/2 (/ 1 (sqrt x)))
  (* 1/2 (/ 1 1))
  (* 1/2 1)
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.522 * [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))
0.582 * * * [progress]: adding candidates to table
0.641 * [progress]: [Phase 3 of 3] Extracting.
0.641 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.642 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
0.642 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.657 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.674 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.698 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.726 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.752 * * * [regime]: Found split indices: #<option (#s(si 0 43) #s(si 2 197) #s(si 1 255))>
0.752 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.797 * [regimes]: Found splitpoints: (#s(sp 0 x -1.3305299901761994e+154) #s(sp 2 x 1.2391028676879651e+132) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.798 * [simplify]: Simplifying:
  (if (<= x -1.3305299901761994e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 1.2391028676879651e+132) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
0.798 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 h3) (- (+ h0 (* 1/2 (/ h1 h0)))) (if (<= h0 h2) (sqrt (+ (* h0 h0) h1)) (+ h0 (* 1/2 (/ h1 h0)))))
1.548 * [regime-testing]: Baseline error score: 21.671083885485686
1.550 * [regime-testing]: Oracle error score: 0.002250281285160645
1.555 * [regime-testing]: End program error score: 0.03468582924841549
1.592 * [regime-testing]: Target error score: 0.47051632230986107