21.032 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.018 * * * [progress]: [2/2] Setting up program.
0.020 * [progress]: [Phase 2 of 3] Improving.
0.020 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.020 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (* h1 h1) h0))
0.021 * * [progress]: iteration 1 / 4
0.021 * * * [progress]: picking best candidate
0.023 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.023 * * * [progress]: localizing error
0.029 * * * [progress]: generating rewritten candidates
0.029 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.044 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.057 * * * [progress]: generating series expansions
0.057 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.057 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.057 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.057 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.057 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.057 * [taylor]: Taking taylor expansion of x in y
0.057 * [backup-simplify]: Simplify x into x
0.057 * [taylor]: Taking taylor expansion of y in y
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify 1 into 1
0.057 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.058 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.058 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.058 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.058 * [backup-simplify]: Simplify (+ 0 1) into 1
0.059 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.059 * [taylor]: Taking taylor expansion of x in x
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [taylor]: Taking taylor expansion of y in x
0.059 * [backup-simplify]: Simplify y into y
0.059 * [backup-simplify]: Simplify (+ 0 y) into y
0.059 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.059 * [taylor]: Taking taylor expansion of x in x
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [taylor]: Taking taylor expansion of y in x
0.059 * [backup-simplify]: Simplify y into y
0.060 * [backup-simplify]: Simplify (+ 0 y) into y
0.060 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.060 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.060 * [taylor]: Taking taylor expansion of y in y
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify 1 into 1
0.061 * [backup-simplify]: Simplify (sqrt 0) into 0
0.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [taylor]: Taking taylor expansion of 0 in y
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.063 * [backup-simplify]: Simplify (* 1 1) into 1
0.063 * [backup-simplify]: Simplify (+ 1 0) into 1
0.064 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.064 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.064 * [taylor]: Taking taylor expansion of 1/2 in y
0.064 * [backup-simplify]: Simplify 1/2 into 1/2
0.064 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.064 * [taylor]: Taking taylor expansion of y in y
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [backup-simplify]: Simplify (/ 1 1) into 1
0.065 * [backup-simplify]: Simplify (sqrt 0) into 0
0.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.067 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.067 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.067 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.069 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.070 * [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))))))
0.070 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.070 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.070 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.070 * [taylor]: Taking taylor expansion of x in y
0.070 * [backup-simplify]: Simplify x into x
0.070 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.070 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.070 * [taylor]: Taking taylor expansion of y in y
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 1 into 1
0.071 * [backup-simplify]: Simplify (/ 1 1) into 1
0.071 * [backup-simplify]: Simplify (+ 0 1) into 1
0.071 * [backup-simplify]: Simplify (sqrt 0) into 0
0.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.073 * [taylor]: Taking taylor expansion of x in x
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [backup-simplify]: Simplify (* 1 1) into 1
0.073 * [backup-simplify]: Simplify (/ 1 1) into 1
0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.073 * [taylor]: Taking taylor expansion of y in x
0.073 * [backup-simplify]: Simplify y into y
0.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.074 * [backup-simplify]: Simplify (+ 1 0) into 1
0.074 * [backup-simplify]: Simplify (sqrt 1) into 1
0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.085 * [taylor]: Taking taylor expansion of x in x
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify (* 1 1) into 1
0.086 * [backup-simplify]: Simplify (/ 1 1) into 1
0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.086 * [taylor]: Taking taylor expansion of y in x
0.086 * [backup-simplify]: Simplify y into y
0.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.086 * [backup-simplify]: Simplify (+ 1 0) into 1
0.087 * [backup-simplify]: Simplify (sqrt 1) into 1
0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.089 * [taylor]: Taking taylor expansion of 1 in y
0.089 * [backup-simplify]: Simplify 1 into 1
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.091 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.092 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.092 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.092 * [taylor]: Taking taylor expansion of 1/2 in y
0.092 * [backup-simplify]: Simplify 1/2 into 1/2
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
0.092 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.092 * [backup-simplify]: Simplify 1/2 into 1/2
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.099 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.099 * [taylor]: Taking taylor expansion of -1/8 in y
0.099 * [backup-simplify]: Simplify -1/8 into -1/8
0.099 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.099 * [taylor]: Taking taylor expansion of y in y
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify (* 1 1) into 1
0.099 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.101 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.101 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.101 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.101 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.101 * [taylor]: Taking taylor expansion of x in y
0.101 * [backup-simplify]: Simplify x into x
0.101 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.102 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.102 * [taylor]: Taking taylor expansion of y in y
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 1 into 1
0.102 * [backup-simplify]: Simplify (/ 1 1) into 1
0.102 * [backup-simplify]: Simplify (- 1) into -1
0.103 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.103 * [backup-simplify]: Simplify (sqrt 0) into 0
0.104 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.104 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.104 * [taylor]: Taking taylor expansion of x in x
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (* 1 1) into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.105 * [taylor]: Taking taylor expansion of y in x
0.105 * [backup-simplify]: Simplify y into y
0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.105 * [backup-simplify]: Simplify (+ 1 0) into 1
0.106 * [backup-simplify]: Simplify (sqrt 1) into 1
0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.108 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.108 * [taylor]: Taking taylor expansion of x in x
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [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
0.110 * [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 1 in y
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [taylor]: Taking taylor expansion of 0 in y
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.113 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.114 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.114 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.114 * [taylor]: Taking taylor expansion of -1/2 in y
0.114 * [backup-simplify]: Simplify -1/2 into -1/2
0.114 * [taylor]: Taking taylor expansion of y in y
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.114 * [backup-simplify]: Simplify -1/2 into -1/2
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.116 * [backup-simplify]: Simplify (- 0) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.117 * [taylor]: Taking taylor expansion of 0 in y
0.117 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.120 * [backup-simplify]: Simplify (- 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.122 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.122 * [taylor]: Taking taylor expansion of -1/8 in y
0.122 * [backup-simplify]: Simplify -1/8 into -1/8
0.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.122 * [taylor]: Taking taylor expansion of y in y
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (* 1 1) into 1
0.122 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.124 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.124 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.124 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.124 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.124 * [taylor]: Taking taylor expansion of x in y
0.124 * [backup-simplify]: Simplify x into x
0.124 * [taylor]: Taking taylor expansion of y in y
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.124 * [taylor]: Taking taylor expansion of x in x
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [taylor]: Taking taylor expansion of y in x
0.124 * [backup-simplify]: Simplify y into y
0.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.124 * [taylor]: Taking taylor expansion of x in x
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [taylor]: Taking taylor expansion of y in x
0.124 * [backup-simplify]: Simplify y into y
0.125 * [backup-simplify]: Simplify (+ 0 y) into y
0.125 * [taylor]: Taking taylor expansion of y in y
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 1 into 1
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [taylor]: Taking taylor expansion of 0 in y
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 1 into 1
0.125 * [backup-simplify]: Simplify (* 1 1) into 1
0.126 * [backup-simplify]: Simplify (+ 1 0) into 1
0.126 * [taylor]: Taking taylor expansion of 1 in y
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) 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
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
0.127 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
0.127 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.127 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.127 * [taylor]: Taking taylor expansion of x in y
0.127 * [backup-simplify]: Simplify x into x
0.127 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.128 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.128 * [taylor]: Taking taylor expansion of y in y
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (/ 1 1) into 1
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.128 * [taylor]: Taking taylor expansion of x in x
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (* 1 1) into 1
0.129 * [backup-simplify]: Simplify (/ 1 1) into 1
0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.129 * [taylor]: Taking taylor expansion of y in x
0.129 * [backup-simplify]: Simplify y into y
0.129 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.129 * [taylor]: Taking taylor expansion of x in x
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify (* 1 1) into 1
0.130 * [backup-simplify]: Simplify (/ 1 1) into 1
0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.130 * [taylor]: Taking taylor expansion of y in x
0.130 * [backup-simplify]: Simplify y into y
0.130 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.130 * [backup-simplify]: Simplify (+ 1 0) into 1
0.130 * [taylor]: Taking taylor expansion of 1 in y
0.130 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) 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 1 into 1
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.133 * [taylor]: Taking taylor expansion of y in y
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (/ 1 1) into 1
0.133 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [taylor]: Taking taylor expansion of 0 in y
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.138 * [taylor]: Taking taylor expansion of 0 in y
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
0.139 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.139 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.139 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.139 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.139 * [taylor]: Taking taylor expansion of x in y
0.139 * [backup-simplify]: Simplify x into x
0.139 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.139 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.139 * [taylor]: Taking taylor expansion of y in y
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (/ 1 1) into 1
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
0.141 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.141 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.141 * [taylor]: Taking taylor expansion of x in x
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.141 * [backup-simplify]: Simplify (/ 1 1) into 1
0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.141 * [taylor]: Taking taylor expansion of y in x
0.141 * [backup-simplify]: Simplify y into y
0.141 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.142 * [backup-simplify]: Simplify (+ 1 0) into 1
0.142 * [taylor]: Taking taylor expansion of 1 in y
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.143 * [taylor]: Taking taylor expansion of 0 in y
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.145 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.145 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.145 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.145 * [taylor]: Taking taylor expansion of y in y
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.145 * [backup-simplify]: Simplify (/ 1 1) into 1
0.146 * [backup-simplify]: Simplify (- 1) into -1
0.146 * [backup-simplify]: Simplify -1 into -1
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.148 * [backup-simplify]: Simplify (- 0) into 0
0.148 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [taylor]: Taking taylor expansion of 0 in y
0.148 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (- 0) into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.150 * [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
0.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.151 * [backup-simplify]: Simplify (- 0) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.151 * [taylor]: Taking taylor expansion of 0 in y
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.152 * * * [progress]: simplifying candidates
0.153 * [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)
0.153 * [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)
0.231 * * * [progress]: adding candidates to table
0.323 * * [progress]: iteration 2 / 4
0.323 * * * [progress]: picking best candidate
0.326 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.326 * * * [progress]: localizing error
0.337 * * * [progress]: generating rewritten candidates
0.337 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.347 * * * [progress]: generating series expansions
0.347 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.347 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x)))
0.347 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.347 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.347 * [taylor]: Taking taylor expansion of x in y
0.347 * [backup-simplify]: Simplify x into x
0.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.347 * [taylor]: Taking taylor expansion of 1/2 in y
0.347 * [backup-simplify]: Simplify 1/2 into 1/2
0.347 * [taylor]: Taking taylor expansion of (/ y x) in y
0.347 * [taylor]: Taking taylor expansion of y in y
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [taylor]: Taking taylor expansion of x in y
0.347 * [backup-simplify]: Simplify x into x
0.347 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.347 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.347 * [taylor]: Taking taylor expansion of x in x
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.347 * [taylor]: Taking taylor expansion of 1/2 in x
0.347 * [backup-simplify]: Simplify 1/2 into 1/2
0.347 * [taylor]: Taking taylor expansion of (/ y x) in x
0.347 * [taylor]: Taking taylor expansion of y in x
0.347 * [backup-simplify]: Simplify y into y
0.347 * [taylor]: Taking taylor expansion of x in x
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (/ y 1) into y
0.348 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.348 * [taylor]: Taking taylor expansion of x in x
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.348 * [taylor]: Taking taylor expansion of 1/2 in x
0.348 * [backup-simplify]: Simplify 1/2 into 1/2
0.348 * [taylor]: Taking taylor expansion of (/ y x) in x
0.348 * [taylor]: Taking taylor expansion of y in x
0.348 * [backup-simplify]: Simplify y into y
0.348 * [taylor]: Taking taylor expansion of x in x
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (/ y 1) into y
0.348 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
0.348 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y)
0.348 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.348 * [taylor]: Taking taylor expansion of 1/2 in y
0.348 * [backup-simplify]: Simplify 1/2 into 1/2
0.348 * [taylor]: Taking taylor expansion of y in y
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [taylor]: Taking taylor expansion of 0 in y
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.351 * [backup-simplify]: Simplify 1/2 into 1/2
0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
0.353 * [backup-simplify]: Simplify (+ 1 0) into 1
0.353 * [taylor]: Taking taylor expansion of 1 in y
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.356 * [taylor]: Taking taylor expansion of 0 in y
0.356 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x)))
0.358 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x))
0.358 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.358 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ x 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 (/ x y) in y
0.358 * [taylor]: Taking taylor expansion of x in y
0.358 * [backup-simplify]: Simplify x into x
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 (/ x 1) into x
0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.358 * [taylor]: Taking taylor expansion of x in y
0.358 * [backup-simplify]: Simplify x into x
0.358 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.358 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.358 * [taylor]: Taking taylor expansion of 1/2 in x
0.358 * [backup-simplify]: Simplify 1/2 into 1/2
0.358 * [taylor]: Taking taylor expansion of (/ x y) in x
0.358 * [taylor]: Taking taylor expansion of x in x
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [taylor]: Taking taylor expansion of y in x
0.358 * [backup-simplify]: Simplify y into y
0.359 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.359 * [taylor]: Taking taylor expansion of x in x
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (/ 1 1) into 1
0.359 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.359 * [taylor]: Taking taylor expansion of 1/2 in x
0.359 * [backup-simplify]: Simplify 1/2 into 1/2
0.359 * [taylor]: Taking taylor expansion of (/ x y) in x
0.359 * [taylor]: Taking taylor expansion of x in x
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [taylor]: Taking taylor expansion of y in x
0.359 * [backup-simplify]: Simplify y into y
0.359 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.359 * [taylor]: Taking taylor expansion of x in x
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.360 * [backup-simplify]: Simplify (/ 1 1) into 1
0.360 * [backup-simplify]: Simplify (+ 0 1) into 1
0.360 * [taylor]: Taking taylor expansion of 1 in y
0.360 * [backup-simplify]: Simplify 1 into 1
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (+ 0 0) 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 1 into 1
0.361 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
0.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.362 * [taylor]: Taking taylor expansion of 1/2 in y
0.362 * [backup-simplify]: Simplify 1/2 into 1/2
0.362 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.362 * [taylor]: Taking taylor expansion of y in y
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (/ 1 1) into 1
0.363 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.363 * [backup-simplify]: Simplify 1/2 into 1/2
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ 0 0) into 0
0.364 * [taylor]: Taking taylor expansion of 0 in y
0.364 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [taylor]: Taking taylor expansion of 0 in y
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.368 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x))
0.368 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.368 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.368 * [taylor]: Taking taylor expansion of 1/2 in y
0.368 * [backup-simplify]: Simplify 1/2 into 1/2
0.368 * [taylor]: Taking taylor expansion of (/ x y) in y
0.368 * [taylor]: Taking taylor expansion of x in y
0.368 * [backup-simplify]: Simplify x into x
0.368 * [taylor]: Taking taylor expansion of y in y
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.368 * [backup-simplify]: Simplify (/ x 1) into x
0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.368 * [taylor]: Taking taylor expansion of x in y
0.368 * [backup-simplify]: Simplify x into x
0.368 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.368 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.368 * [taylor]: Taking taylor expansion of 1/2 in x
0.368 * [backup-simplify]: Simplify 1/2 into 1/2
0.368 * [taylor]: Taking taylor expansion of (/ x y) in x
0.368 * [taylor]: Taking taylor expansion of x in x
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [taylor]: Taking taylor expansion of y in x
0.369 * [backup-simplify]: Simplify y into y
0.369 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.369 * [taylor]: Taking taylor expansion of x in x
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.369 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.369 * [taylor]: Taking taylor expansion of 1/2 in x
0.369 * [backup-simplify]: Simplify 1/2 into 1/2
0.369 * [taylor]: Taking taylor expansion of (/ x y) in x
0.369 * [taylor]: Taking taylor expansion of x in x
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [taylor]: Taking taylor expansion of y in x
0.369 * [backup-simplify]: Simplify y into y
0.369 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.369 * [taylor]: Taking taylor expansion of x in x
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [backup-simplify]: Simplify (- 1) into -1
0.370 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.370 * [taylor]: Taking taylor expansion of -1 in y
0.370 * [backup-simplify]: Simplify -1 into -1
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify (- 0) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.372 * [taylor]: Taking taylor expansion of 0 in y
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify -1 into -1
0.372 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.373 * [backup-simplify]: Simplify (- 0) into 0
0.373 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
0.373 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.373 * [taylor]: Taking taylor expansion of 1/2 in y
0.373 * [backup-simplify]: Simplify 1/2 into 1/2
0.373 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.373 * [taylor]: Taking taylor expansion of y in y
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [backup-simplify]: Simplify (/ 1 1) into 1
0.374 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.374 * [backup-simplify]: Simplify 1/2 into 1/2
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.375 * [backup-simplify]: Simplify (- 0) into 0
0.376 * [backup-simplify]: Simplify (+ 0 0) 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 (- (+ (* 1 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (- 0) into 0
0.379 * [backup-simplify]: Simplify (+ 0 0) into 0
0.379 * [taylor]: Taking taylor expansion of 0 in y
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x)))
0.380 * * * [progress]: simplifying candidates
0.380 * [simplify]: Simplifying:
  (* (exp x) (exp (* 1/2 (/ y x))))
  (log (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (+ (pow x 3) (pow (* 1/2 (/ y x)) 3))
  (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x)))))
  (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x))))
  (- x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
0.380 * [simplify]: Sending expressions to egg_math:
 (* (exp h0) (exp (* (/ 1 2) (/ h1 h0))))
 (log (+ h0 (* (/ 1 2) (/ h1 h0))))
 (exp (+ h0 (* (/ 1 2) (/ h1 h0))))
 (* (cbrt (+ h0 (* (/ 1 2) (/ h1 h0)))) (cbrt (+ h0 (* (/ 1 2) (/ h1 h0)))))
 (cbrt (+ h0 (* (/ 1 2) (/ h1 h0))))
 (* (* (+ h0 (* (/ 1 2) (/ h1 h0))) (+ h0 (* (/ 1 2) (/ h1 h0)))) (+ h0 (* (/ 1 2) (/ h1 h0))))
 (sqrt (+ h0 (* (/ 1 2) (/ h1 h0))))
 (sqrt (+ h0 (* (/ 1 2) (/ h1 h0))))
 (+ (pow h0 3) (pow (* (/ 1 2) (/ h1 h0)) 3))
 (+ (* h0 h0) (- (* (* (/ 1 2) (/ h1 h0)) (* (/ 1 2) (/ h1 h0))) (* h0 (* (/ 1 2) (/ h1 h0)))))
 (- (* h0 h0) (* (* (/ 1 2) (/ h1 h0)) (* (/ 1 2) (/ h1 h0))))
 (- h0 (* (/ 1 2) (/ h1 h0)))
 (+ h0 (* (/ 1 2) (/ h1 h0)))
 (+ h0 (* (/ 1 2) (/ h1 h0)))
 (+ h0 (* (/ 1 2) (/ h1 h0)))
0.493 * * * [progress]: adding candidates to table
0.522 * * [progress]: iteration 3 / 4
0.522 * * * [progress]: picking best candidate
0.523 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.523 * * * [progress]: localizing error
0.532 * * * [progress]: generating rewritten candidates
0.532 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
0.548 * * * [progress]: generating series expansions
0.548 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
0.548 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x)))
0.548 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.548 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.548 * [taylor]: Taking taylor expansion of x in y
0.548 * [backup-simplify]: Simplify x into x
0.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.548 * [taylor]: Taking taylor expansion of 1/2 in y
0.548 * [backup-simplify]: Simplify 1/2 into 1/2
0.548 * [taylor]: Taking taylor expansion of (/ y x) in y
0.548 * [taylor]: Taking taylor expansion of y in y
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [taylor]: Taking taylor expansion of x in y
0.548 * [backup-simplify]: Simplify x into x
0.548 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.548 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.548 * [taylor]: Taking taylor expansion of x in x
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.548 * [taylor]: Taking taylor expansion of 1/2 in x
0.548 * [backup-simplify]: Simplify 1/2 into 1/2
0.548 * [taylor]: Taking taylor expansion of (/ y x) in x
0.548 * [taylor]: Taking taylor expansion of y in x
0.548 * [backup-simplify]: Simplify y into y
0.548 * [taylor]: Taking taylor expansion of x in x
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.549 * [backup-simplify]: Simplify (/ y 1) into y
0.549 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.549 * [taylor]: Taking taylor expansion of x in x
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 1 into 1
0.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.549 * [taylor]: Taking taylor expansion of 1/2 in x
0.549 * [backup-simplify]: Simplify 1/2 into 1/2
0.549 * [taylor]: Taking taylor expansion of (/ y x) in x
0.549 * [taylor]: Taking taylor expansion of y in x
0.549 * [backup-simplify]: Simplify y into y
0.549 * [taylor]: Taking taylor expansion of x in x
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 1 into 1
0.549 * [backup-simplify]: Simplify (/ y 1) into y
0.549 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
0.549 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y)
0.549 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.549 * [taylor]: Taking taylor expansion of 1/2 in y
0.549 * [backup-simplify]: Simplify 1/2 into 1/2
0.549 * [taylor]: Taking taylor expansion of y in y
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 1 into 1
0.550 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
0.551 * [backup-simplify]: Simplify (+ 0 0) into 0
0.551 * [taylor]: Taking taylor expansion of 0 in y
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.552 * [backup-simplify]: Simplify 1/2 into 1/2
0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
0.553 * [backup-simplify]: Simplify (+ 1 0) into 1
0.553 * [taylor]: Taking taylor expansion of 1 in y
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.556 * [backup-simplify]: Simplify (+ 0 0) into 0
0.556 * [taylor]: Taking taylor expansion of 0 in y
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x)))
0.557 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x))
0.557 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.557 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.557 * [taylor]: Taking taylor expansion of 1/2 in y
0.557 * [backup-simplify]: Simplify 1/2 into 1/2
0.557 * [taylor]: Taking taylor expansion of (/ x y) in y
0.557 * [taylor]: Taking taylor expansion of x in y
0.557 * [backup-simplify]: Simplify x into x
0.557 * [taylor]: Taking taylor expansion of y in y
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.557 * [backup-simplify]: Simplify (/ x 1) into x
0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.557 * [taylor]: Taking taylor expansion of x in y
0.557 * [backup-simplify]: Simplify x into x
0.557 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.557 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.557 * [taylor]: Taking taylor expansion of 1/2 in x
0.557 * [backup-simplify]: Simplify 1/2 into 1/2
0.557 * [taylor]: Taking taylor expansion of (/ x y) in x
0.557 * [taylor]: Taking taylor expansion of x in x
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.557 * [taylor]: Taking taylor expansion of y in x
0.557 * [backup-simplify]: Simplify y into y
0.558 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.558 * [taylor]: Taking taylor expansion of x in x
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 1 into 1
0.558 * [backup-simplify]: Simplify (/ 1 1) into 1
0.558 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.558 * [taylor]: Taking taylor expansion of 1/2 in x
0.558 * [backup-simplify]: Simplify 1/2 into 1/2
0.558 * [taylor]: Taking taylor expansion of (/ x y) in x
0.558 * [taylor]: Taking taylor expansion of x in x
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 1 into 1
0.558 * [taylor]: Taking taylor expansion of y in x
0.558 * [backup-simplify]: Simplify y into y
0.558 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.558 * [taylor]: Taking taylor expansion of x in x
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 1 into 1
0.558 * [backup-simplify]: Simplify (/ 1 1) into 1
0.559 * [backup-simplify]: Simplify (+ 0 1) into 1
0.559 * [taylor]: Taking taylor expansion of 1 in y
0.559 * [backup-simplify]: Simplify 1 into 1
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (+ 0 0) into 0
0.559 * [taylor]: Taking taylor expansion of 0 in y
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 1 into 1
0.559 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
0.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.560 * [taylor]: Taking taylor expansion of 1/2 in y
0.560 * [backup-simplify]: Simplify 1/2 into 1/2
0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.560 * [taylor]: Taking taylor expansion of y in y
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 1 into 1
0.560 * [backup-simplify]: Simplify (/ 1 1) into 1
0.561 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.561 * [backup-simplify]: Simplify 1/2 into 1/2
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (+ 0 0) into 0
0.562 * [taylor]: Taking taylor expansion of 0 in y
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (+ 0 0) into 0
0.564 * [taylor]: Taking taylor expansion of 0 in y
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.565 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x))
0.565 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.565 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.565 * [taylor]: Taking taylor expansion of 1/2 in y
0.565 * [backup-simplify]: Simplify 1/2 into 1/2
0.565 * [taylor]: Taking taylor expansion of (/ x y) in y
0.565 * [taylor]: Taking taylor expansion of x in y
0.565 * [backup-simplify]: Simplify x into x
0.565 * [taylor]: Taking taylor expansion of y in y
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.565 * [backup-simplify]: Simplify (/ x 1) into x
0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.565 * [taylor]: Taking taylor expansion of x in y
0.565 * [backup-simplify]: Simplify x into x
0.565 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.565 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.565 * [taylor]: Taking taylor expansion of 1/2 in x
0.565 * [backup-simplify]: Simplify 1/2 into 1/2
0.565 * [taylor]: Taking taylor expansion of (/ x y) in x
0.565 * [taylor]: Taking taylor expansion of x in x
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.565 * [taylor]: Taking taylor expansion of y in x
0.565 * [backup-simplify]: Simplify y into y
0.565 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.565 * [taylor]: Taking taylor expansion of x in x
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.565 * [backup-simplify]: Simplify (/ 1 1) into 1
0.565 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.565 * [taylor]: Taking taylor expansion of 1/2 in x
0.565 * [backup-simplify]: Simplify 1/2 into 1/2
0.565 * [taylor]: Taking taylor expansion of (/ x y) in x
0.565 * [taylor]: Taking taylor expansion of x in x
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.565 * [taylor]: Taking taylor expansion of y in x
0.565 * [backup-simplify]: Simplify y into y
0.565 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.566 * [taylor]: Taking taylor expansion of x in x
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 1 into 1
0.566 * [backup-simplify]: Simplify (/ 1 1) into 1
0.566 * [backup-simplify]: Simplify (- 1) into -1
0.566 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.566 * [taylor]: Taking taylor expansion of -1 in y
0.566 * [backup-simplify]: Simplify -1 into -1
0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.567 * [backup-simplify]: Simplify (- 0) into 0
0.568 * [backup-simplify]: Simplify (+ 0 0) into 0
0.568 * [taylor]: Taking taylor expansion of 0 in y
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify -1 into -1
0.568 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (- 0) into 0
0.569 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
0.569 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.569 * [taylor]: Taking taylor expansion of 1/2 in y
0.569 * [backup-simplify]: Simplify 1/2 into 1/2
0.569 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.569 * [taylor]: Taking taylor expansion of y in y
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify (/ 1 1) into 1
0.570 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.570 * [backup-simplify]: Simplify 1/2 into 1/2
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (- 0) into 0
0.572 * [backup-simplify]: Simplify (+ 0 0) into 0
0.572 * [taylor]: Taking taylor expansion of 0 in y
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.575 * [backup-simplify]: Simplify (- 0) into 0
0.575 * [backup-simplify]: Simplify (+ 0 0) into 0
0.575 * [taylor]: Taking taylor expansion of 0 in y
0.575 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x)))
0.575 * * * [progress]: simplifying candidates
0.576 * [simplify]: Simplifying:
  (* (exp x) (exp (* 1/2 (/ y x))))
  (log (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (+ (pow x 3) (pow (* 1/2 (/ y x)) 3))
  (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x)))))
  (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x))))
  (- x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
0.576 * [simplify]: Sending expressions to egg_math:
 (* (exp h0) (exp (* (/ 1 2) (/ h1 h0))))
 (log (+ h0 (* (/ 1 2) (/ h1 h0))))
 (exp (+ h0 (* (/ 1 2) (/ h1 h0))))
 (* (cbrt (+ h0 (* (/ 1 2) (/ h1 h0)))) (cbrt (+ h0 (* (/ 1 2) (/ h1 h0)))))
 (cbrt (+ h0 (* (/ 1 2) (/ h1 h0))))
 (* (* (+ h0 (* (/ 1 2) (/ h1 h0))) (+ h0 (* (/ 1 2) (/ h1 h0)))) (+ h0 (* (/ 1 2) (/ h1 h0))))
 (sqrt (+ h0 (* (/ 1 2) (/ h1 h0))))
 (sqrt (+ h0 (* (/ 1 2) (/ h1 h0))))
 (+ (pow h0 3) (pow (* (/ 1 2) (/ h1 h0)) 3))
 (+ (* h0 h0) (- (* (* (/ 1 2) (/ h1 h0)) (* (/ 1 2) (/ h1 h0))) (* h0 (* (/ 1 2) (/ h1 h0)))))
 (- (* h0 h0) (* (* (/ 1 2) (/ h1 h0)) (* (/ 1 2) (/ h1 h0))))
 (- h0 (* (/ 1 2) (/ h1 h0)))
 (+ h0 (* (/ 1 2) (/ h1 h0)))
 (+ h0 (* (/ 1 2) (/ h1 h0)))
 (+ h0 (* (/ 1 2) (/ h1 h0)))
0.686 * * * [progress]: adding candidates to table
0.715 * [progress]: [Phase 3 of 3] Extracting.
0.715 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
0.716 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
0.716 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
0.742 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
0.763 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
0.786 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
0.816 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
0.860 * * * [regime]: Found split indices: #<option (#s(si 1 40) #s(si 0 196) #s(si 2 255))>
0.861 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
0.911 * [regimes]: Found splitpoints: (#s(sp 1 x -1.2996772002233855e+154) #s(sp 0 x 7.419817825242465e+111) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>)
0.911 * [simplify]: Simplifying:
  (if (<= x -1.2996772002233855e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 7.419817825242465e+111) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
0.911 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 -1.2996772002233855e+154) (- (+ h0 (* (/ 1 2) (/ h1 h0)))) (if (<= h0 7.419817825242465e+111) (sqrt (+ (* h0 h0) h1)) (+ h0 (* (/ 1 2) (/ h1 h0)))))
1.819 * [regime-testing]: Baseline error score: 21.702628069520554
1.822 * [regime-testing]: Oracle error score: 0.0017904648199634156
1.828 * [regime-testing]: End program error score: 0.07042765673656178
1.878 * [regime-testing]: Target error score: 0.40340168429592244