23.428 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.022 * * * [progress]: [2/2] Setting up program.
0.024 * [progress]: [Phase 2 of 3] Improving.
0.024 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.024 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (* h1 h1) h0))
0.038 * * [progress]: iteration 1 / 4
0.038 * * * [progress]: picking best candidate
0.039 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.040 * * * [progress]: localizing error
0.045 * * * [progress]: generating rewritten candidates
0.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.055 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.063 * * * [progress]: generating series expansions
0.063 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.063 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.063 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.063 * [taylor]: Taking taylor expansion of x in y
0.063 * [backup-simplify]: Simplify x into x
0.063 * [taylor]: Taking taylor expansion of y in y
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 1 into 1
0.063 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.063 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.063 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.063 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.064 * [backup-simplify]: Simplify (+ 0 1) into 1
0.064 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.064 * [taylor]: Taking taylor expansion of x in x
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [taylor]: Taking taylor expansion of y in x
0.064 * [backup-simplify]: Simplify y into y
0.064 * [backup-simplify]: Simplify (+ 0 y) into y
0.064 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.065 * [taylor]: Taking taylor expansion of x in x
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 1 into 1
0.065 * [taylor]: Taking taylor expansion of y in x
0.065 * [backup-simplify]: Simplify y into y
0.065 * [backup-simplify]: Simplify (+ 0 y) into y
0.065 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.065 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.065 * [taylor]: Taking taylor expansion of y in y
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify (sqrt 0) into 0
0.067 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [taylor]: Taking taylor expansion of 0 in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.067 * [backup-simplify]: Simplify (* 1 1) into 1
0.067 * [backup-simplify]: Simplify (+ 1 0) into 1
0.068 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.068 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.068 * [taylor]: Taking taylor expansion of 1/2 in y
0.068 * [backup-simplify]: Simplify 1/2 into 1/2
0.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.068 * [taylor]: Taking taylor expansion of y in y
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 1 into 1
0.068 * [backup-simplify]: Simplify (/ 1 1) into 1
0.069 * [backup-simplify]: Simplify (sqrt 0) into 0
0.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.070 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.070 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.070 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.072 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.073 * [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))))))
0.073 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.073 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.073 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.073 * [taylor]: Taking taylor expansion of x in y
0.073 * [backup-simplify]: Simplify x into x
0.073 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.073 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.073 * [taylor]: Taking taylor expansion of y in y
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.074 * [backup-simplify]: Simplify (/ 1 1) into 1
0.074 * [backup-simplify]: Simplify (+ 0 1) into 1
0.074 * [backup-simplify]: Simplify (sqrt 0) into 0
0.075 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.075 * [taylor]: Taking taylor expansion of x in x
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify (* 1 1) into 1
0.075 * [backup-simplify]: Simplify (/ 1 1) into 1
0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.075 * [taylor]: Taking taylor expansion of y in x
0.075 * [backup-simplify]: Simplify y into y
0.076 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.076 * [backup-simplify]: Simplify (+ 1 0) into 1
0.076 * [backup-simplify]: Simplify (sqrt 1) into 1
0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.078 * [taylor]: Taking taylor expansion of x in x
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (* 1 1) into 1
0.078 * [backup-simplify]: Simplify (/ 1 1) into 1
0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.078 * [taylor]: Taking taylor expansion of y in x
0.078 * [backup-simplify]: Simplify y into y
0.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.079 * [backup-simplify]: Simplify (+ 1 0) into 1
0.079 * [backup-simplify]: Simplify (sqrt 1) into 1
0.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.081 * [taylor]: Taking taylor expansion of 1 in y
0.081 * [backup-simplify]: Simplify 1 into 1
0.081 * [taylor]: Taking taylor expansion of 0 in y
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.082 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.083 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.083 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.083 * [taylor]: Taking taylor expansion of 1/2 in y
0.083 * [backup-simplify]: Simplify 1/2 into 1/2
0.083 * [taylor]: Taking taylor expansion of y in y
0.083 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.084 * [backup-simplify]: Simplify 1/2 into 1/2
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.086 * [taylor]: Taking taylor expansion of 0 in y
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.090 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.090 * [taylor]: Taking taylor expansion of -1/8 in y
0.090 * [backup-simplify]: Simplify -1/8 into -1/8
0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.090 * [taylor]: Taking taylor expansion of y in y
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify (* 1 1) into 1
0.090 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.092 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.092 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.092 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.092 * [taylor]: Taking taylor expansion of x in y
0.092 * [backup-simplify]: Simplify x into x
0.092 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.092 * [taylor]: Taking taylor expansion of (/ 1 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
0.092 * [backup-simplify]: Simplify (/ 1 1) into 1
0.092 * [backup-simplify]: Simplify (- 1) into -1
0.093 * [backup-simplify]: Simplify (+ 0 -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 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.094 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.094 * [taylor]: Taking taylor expansion of x in x
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (* 1 1) into 1
0.094 * [backup-simplify]: Simplify (/ 1 1) into 1
0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.094 * [taylor]: Taking taylor expansion of y in x
0.094 * [backup-simplify]: Simplify y into y
0.095 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.095 * [backup-simplify]: Simplify (+ 1 0) into 1
0.095 * [backup-simplify]: Simplify (sqrt 1) into 1
0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.096 * [backup-simplify]: Simplify (+ 0 0) into 0
0.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.096 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.097 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.097 * [taylor]: Taking taylor expansion of x in x
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (* 1 1) into 1
0.097 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.097 * [taylor]: Taking taylor expansion of y in x
0.097 * [backup-simplify]: Simplify y into y
0.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.097 * [backup-simplify]: Simplify (+ 1 0) into 1
0.098 * [backup-simplify]: Simplify (sqrt 1) into 1
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.099 * [taylor]: Taking taylor expansion of 1 in y
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [taylor]: Taking taylor expansion of 0 in y
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.100 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.101 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.101 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.101 * [taylor]: Taking taylor expansion of -1/2 in y
0.101 * [backup-simplify]: Simplify -1/2 into -1/2
0.101 * [taylor]: Taking taylor expansion of y in y
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 1 into 1
0.102 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.102 * [backup-simplify]: Simplify -1/2 into -1/2
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.103 * [backup-simplify]: Simplify (- 0) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.104 * [taylor]: Taking taylor expansion of 0 in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.106 * [backup-simplify]: Simplify (- 0) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.107 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.107 * [taylor]: Taking taylor expansion of -1/8 in y
0.107 * [backup-simplify]: Simplify -1/8 into -1/8
0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.107 * [taylor]: Taking taylor expansion of y in y
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.108 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.109 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.109 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.109 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.109 * [taylor]: Taking taylor expansion of x in y
0.109 * [backup-simplify]: Simplify x into x
0.109 * [taylor]: Taking taylor expansion of y in y
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 1 into 1
0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.109 * [taylor]: Taking taylor expansion of x in x
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 1 into 1
0.109 * [taylor]: Taking taylor expansion of y in x
0.109 * [backup-simplify]: Simplify y into y
0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.109 * [taylor]: Taking taylor expansion of x in x
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 1 into 1
0.109 * [taylor]: Taking taylor expansion of y in x
0.109 * [backup-simplify]: Simplify y into y
0.109 * [backup-simplify]: Simplify (+ 0 y) into y
0.109 * [taylor]: Taking taylor expansion of y in y
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [taylor]: Taking taylor expansion of 0 in y
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify (* 1 1) into 1
0.110 * [backup-simplify]: Simplify (+ 1 0) into 1
0.110 * [taylor]: Taking taylor expansion of 1 in y
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [taylor]: Taking taylor expansion of 0 in y
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
0.112 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
0.112 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.112 * [taylor]: Taking taylor expansion of x in y
0.112 * [backup-simplify]: Simplify x into x
0.112 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.112 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.112 * [taylor]: Taking taylor expansion of y in y
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 * [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
0.113 * [backup-simplify]: Simplify (/ 1 1) into 1
0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.113 * [taylor]: Taking taylor expansion of y in x
0.113 * [backup-simplify]: Simplify y into y
0.113 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.113 * [taylor]: Taking taylor expansion of x in x
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify (* 1 1) into 1
0.113 * [backup-simplify]: Simplify (/ 1 1) into 1
0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.113 * [taylor]: Taking taylor expansion of y in x
0.113 * [backup-simplify]: Simplify y into y
0.113 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.114 * [backup-simplify]: Simplify (+ 1 0) into 1
0.114 * [taylor]: Taking taylor expansion of 1 in y
0.114 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [taylor]: Taking taylor expansion of 0 in y
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.121 * [taylor]: Taking taylor expansion of y in y
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify (/ 1 1) into 1
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [taylor]: Taking taylor expansion of 0 in y
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) 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 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
0.125 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.125 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.125 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.125 * [taylor]: Taking taylor expansion of x in y
0.125 * [backup-simplify]: Simplify x into x
0.125 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.125 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.125 * [taylor]: Taking taylor expansion of y in y
0.125 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (/ 1 1) into 1
0.126 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.126 * [taylor]: Taking taylor expansion of x in x
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (* 1 1) into 1
0.126 * [backup-simplify]: Simplify (/ 1 1) into 1
0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.126 * [taylor]: Taking taylor expansion of y in x
0.126 * [backup-simplify]: Simplify y into y
0.126 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.126 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.126 * [taylor]: Taking taylor expansion of x in x
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (* 1 1) into 1
0.127 * [backup-simplify]: Simplify (/ 1 1) into 1
0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.127 * [taylor]: Taking taylor expansion of y in x
0.127 * [backup-simplify]: Simplify y into y
0.127 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.127 * [backup-simplify]: Simplify (+ 1 0) into 1
0.127 * [taylor]: Taking taylor expansion of 1 in y
0.127 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [taylor]: Taking taylor expansion of 0 in y
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.130 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.130 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in y
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 1) into 1
0.130 * [backup-simplify]: Simplify (- 1) into -1
0.130 * [backup-simplify]: Simplify -1 into -1
0.130 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.132 * [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) into 0
0.132 * [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
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 0 into 0
0.134 * [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) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [taylor]: Taking taylor expansion of 0 in y
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.135 * * * [progress]: simplifying candidates
0.136 * [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)
0.136 * [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)
0.813 * * * [progress]: adding candidates to table
0.907 * * [progress]: iteration 2 / 4
0.907 * * * [progress]: picking best candidate
0.911 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (- (/ y x)) 2) x))>
0.911 * * * [progress]: localizing error
0.919 * * * [progress]: generating rewritten candidates
0.920 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
1.057 * * * [progress]: generating series expansions
1.057 * * * * [progress]: [ 1 / 1 ] generating series at (2)
1.057 * [backup-simplify]: Simplify (- (/ (- (/ y x)) 2) x) into (- (+ x (* 1/2 (/ y x))))
1.057 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0
1.057 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x
1.057 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
1.057 * [taylor]: Taking taylor expansion of x in x
1.057 * [backup-simplify]: Simplify 0 into 0
1.057 * [backup-simplify]: Simplify 1 into 1
1.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
1.057 * [taylor]: Taking taylor expansion of 1/2 in x
1.057 * [backup-simplify]: Simplify 1/2 into 1/2
1.057 * [taylor]: Taking taylor expansion of (/ y x) in x
1.057 * [taylor]: Taking taylor expansion of y in x
1.057 * [backup-simplify]: Simplify y into y
1.057 * [taylor]: Taking taylor expansion of x in x
1.057 * [backup-simplify]: Simplify 0 into 0
1.057 * [backup-simplify]: Simplify 1 into 1
1.058 * [backup-simplify]: Simplify (/ y 1) into y
1.058 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y
1.058 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
1.058 * [taylor]: Taking taylor expansion of x in y
1.058 * [backup-simplify]: Simplify x into x
1.058 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
1.058 * [taylor]: Taking taylor expansion of 1/2 in y
1.058 * [backup-simplify]: Simplify 1/2 into 1/2
1.058 * [taylor]: Taking taylor expansion of (/ y x) in y
1.058 * [taylor]: Taking taylor expansion of y in y
1.058 * [backup-simplify]: Simplify 0 into 0
1.058 * [backup-simplify]: Simplify 1 into 1
1.058 * [taylor]: Taking taylor expansion of x in y
1.058 * [backup-simplify]: Simplify x into x
1.058 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.058 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y
1.058 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
1.058 * [taylor]: Taking taylor expansion of x in y
1.058 * [backup-simplify]: Simplify x into x
1.058 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
1.058 * [taylor]: Taking taylor expansion of 1/2 in y
1.058 * [backup-simplify]: Simplify 1/2 into 1/2
1.058 * [taylor]: Taking taylor expansion of (/ y x) in y
1.058 * [taylor]: Taking taylor expansion of y in y
1.058 * [backup-simplify]: Simplify 0 into 0
1.058 * [backup-simplify]: Simplify 1 into 1
1.058 * [taylor]: Taking taylor expansion of x in y
1.058 * [backup-simplify]: Simplify x into x
1.058 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.058 * [backup-simplify]: Simplify (+ x 0) into x
1.058 * [backup-simplify]: Simplify (- x) into (- x)
1.058 * [taylor]: Taking taylor expansion of (- x) in x
1.058 * [taylor]: Taking taylor expansion of x in x
1.058 * [backup-simplify]: Simplify 0 into 0
1.058 * [backup-simplify]: Simplify 1 into 1
1.059 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
1.059 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x))
1.059 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 x))) into (- (* 1/2 (/ 1 x)))
1.059 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x
1.059 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
1.059 * [taylor]: Taking taylor expansion of 1/2 in x
1.059 * [backup-simplify]: Simplify 1/2 into 1/2
1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.059 * [taylor]: Taking taylor expansion of x in x
1.059 * [backup-simplify]: Simplify 0 into 0
1.059 * [backup-simplify]: Simplify 1 into 1
1.060 * [backup-simplify]: Simplify (/ 1 1) into 1
1.060 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.060 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.060 * [backup-simplify]: Simplify -1/2 into -1/2
1.061 * [backup-simplify]: Simplify (- 0) into 0
1.061 * [backup-simplify]: Simplify 0 into 0
1.061 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
1.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0
1.062 * [backup-simplify]: Simplify (+ 0 0) into 0
1.062 * [backup-simplify]: Simplify (- 0) into 0
1.062 * [taylor]: Taking taylor expansion of 0 in x
1.062 * [backup-simplify]: Simplify 0 into 0
1.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.064 * [backup-simplify]: Simplify (- 0) into 0
1.064 * [backup-simplify]: Simplify 0 into 0
1.064 * [backup-simplify]: Simplify (- 1) into -1
1.064 * [backup-simplify]: Simplify -1 into -1
1.064 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
1.065 * [backup-simplify]: Simplify (+ 0 0) into 0
1.065 * [backup-simplify]: Simplify (- 0) into 0
1.065 * [taylor]: Taking taylor expansion of 0 in x
1.065 * [backup-simplify]: Simplify 0 into 0
1.065 * [backup-simplify]: Simplify 0 into 0
1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.066 * [backup-simplify]: Simplify (- 0) into 0
1.066 * [backup-simplify]: Simplify 0 into 0
1.067 * [backup-simplify]: Simplify (- 0) into 0
1.067 * [backup-simplify]: Simplify 0 into 0
1.067 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
1.068 * [backup-simplify]: Simplify (+ 0 0) into 0
1.068 * [backup-simplify]: Simplify (- 0) into 0
1.068 * [taylor]: Taking taylor expansion of 0 in x
1.068 * [backup-simplify]: Simplify 0 into 0
1.068 * [backup-simplify]: Simplify 0 into 0
1.068 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.069 * [backup-simplify]: Simplify (- 0) into 0
1.069 * [backup-simplify]: Simplify 0 into 0
1.070 * [backup-simplify]: Simplify (+ (* -1 (* x 1)) (* -1/2 (* (/ 1 x) y))) into (- (+ x (* 1/2 (/ y x))))
1.070 * [backup-simplify]: Simplify (- (/ (- (/ (/ 1 y) (/ 1 x))) 2) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x)))
1.070 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0
1.070 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x
1.070 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
1.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.070 * [taylor]: Taking taylor expansion of 1/2 in x
1.070 * [backup-simplify]: Simplify 1/2 into 1/2
1.070 * [taylor]: Taking taylor expansion of (/ x y) in x
1.070 * [taylor]: Taking taylor expansion of x in x
1.070 * [backup-simplify]: Simplify 0 into 0
1.070 * [backup-simplify]: Simplify 1 into 1
1.070 * [taylor]: Taking taylor expansion of y in x
1.070 * [backup-simplify]: Simplify y into y
1.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.070 * [taylor]: Taking taylor expansion of x in x
1.070 * [backup-simplify]: Simplify 0 into 0
1.070 * [backup-simplify]: Simplify 1 into 1
1.070 * [backup-simplify]: Simplify (/ 1 1) into 1
1.070 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y
1.070 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
1.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
1.070 * [taylor]: Taking taylor expansion of 1/2 in y
1.070 * [backup-simplify]: Simplify 1/2 into 1/2
1.070 * [taylor]: Taking taylor expansion of (/ x y) in y
1.070 * [taylor]: Taking taylor expansion of x in y
1.070 * [backup-simplify]: Simplify x into x
1.070 * [taylor]: Taking taylor expansion of y in y
1.070 * [backup-simplify]: Simplify 0 into 0
1.070 * [backup-simplify]: Simplify 1 into 1
1.070 * [backup-simplify]: Simplify (/ x 1) into x
1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.071 * [taylor]: Taking taylor expansion of x in y
1.071 * [backup-simplify]: Simplify x into x
1.071 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.071 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y
1.071 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
1.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
1.071 * [taylor]: Taking taylor expansion of 1/2 in y
1.071 * [backup-simplify]: Simplify 1/2 into 1/2
1.071 * [taylor]: Taking taylor expansion of (/ x y) in y
1.071 * [taylor]: Taking taylor expansion of x in y
1.071 * [backup-simplify]: Simplify x into x
1.071 * [taylor]: Taking taylor expansion of y in y
1.071 * [backup-simplify]: Simplify 0 into 0
1.071 * [backup-simplify]: Simplify 1 into 1
1.071 * [backup-simplify]: Simplify (/ x 1) into x
1.071 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.071 * [taylor]: Taking taylor expansion of x in y
1.071 * [backup-simplify]: Simplify x into x
1.071 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.071 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
1.071 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
1.071 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x))
1.071 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x
1.071 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
1.071 * [taylor]: Taking taylor expansion of 1/2 in x
1.071 * [backup-simplify]: Simplify 1/2 into 1/2
1.071 * [taylor]: Taking taylor expansion of x in x
1.071 * [backup-simplify]: Simplify 0 into 0
1.071 * [backup-simplify]: Simplify 1 into 1
1.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
1.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
1.073 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x)
1.073 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x))
1.073 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.073 * [taylor]: Taking taylor expansion of x in x
1.073 * [backup-simplify]: Simplify 0 into 0
1.073 * [backup-simplify]: Simplify 1 into 1
1.073 * [backup-simplify]: Simplify (/ 1 1) into 1
1.073 * [backup-simplify]: Simplify (- 1) into -1
1.073 * [backup-simplify]: Simplify -1 into -1
1.074 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.074 * [backup-simplify]: Simplify (- 0) into 0
1.074 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
1.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.076 * [backup-simplify]: Simplify (+ 0 0) into 0
1.077 * [backup-simplify]: Simplify (- 0) into 0
1.077 * [taylor]: Taking taylor expansion of 0 in x
1.077 * [backup-simplify]: Simplify 0 into 0
1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.078 * [backup-simplify]: Simplify (- 0) into 0
1.078 * [backup-simplify]: Simplify 0 into 0
1.078 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.079 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.079 * [backup-simplify]: Simplify -1/2 into -1/2
1.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
1.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.082 * [backup-simplify]: Simplify (+ 0 0) into 0
1.082 * [backup-simplify]: Simplify (- 0) into 0
1.082 * [taylor]: Taking taylor expansion of 0 in x
1.082 * [backup-simplify]: Simplify 0 into 0
1.082 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.084 * [backup-simplify]: Simplify (- 0) into 0
1.084 * [backup-simplify]: Simplify 0 into 0
1.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.085 * [backup-simplify]: Simplify (- 0) into 0
1.085 * [backup-simplify]: Simplify 0 into 0
1.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
1.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.089 * [backup-simplify]: Simplify (+ 0 0) into 0
1.089 * [backup-simplify]: Simplify (- 0) into 0
1.089 * [taylor]: Taking taylor expansion of 0 in x
1.089 * [backup-simplify]: Simplify 0 into 0
1.089 * [backup-simplify]: Simplify 0 into 0
1.089 * [backup-simplify]: Simplify 0 into 0
1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.090 * [backup-simplify]: Simplify (- 0) into 0
1.091 * [backup-simplify]: Simplify 0 into 0
1.091 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x (* 1/2 (/ y x))))
1.091 * [backup-simplify]: Simplify (- (/ (- (/ (/ 1 (- y)) (/ 1 (- x)))) 2) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y)))
1.091 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0
1.091 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x
1.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.091 * [taylor]: Taking taylor expansion of x in x
1.091 * [backup-simplify]: Simplify 0 into 0
1.091 * [backup-simplify]: Simplify 1 into 1
1.092 * [backup-simplify]: Simplify (/ 1 1) into 1
1.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.092 * [taylor]: Taking taylor expansion of 1/2 in x
1.092 * [backup-simplify]: Simplify 1/2 into 1/2
1.092 * [taylor]: Taking taylor expansion of (/ x y) in x
1.092 * [taylor]: Taking taylor expansion of x in x
1.092 * [backup-simplify]: Simplify 0 into 0
1.092 * [backup-simplify]: Simplify 1 into 1
1.092 * [taylor]: Taking taylor expansion of y in x
1.092 * [backup-simplify]: Simplify y into y
1.092 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.092 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.092 * [taylor]: Taking taylor expansion of x in y
1.092 * [backup-simplify]: Simplify x into x
1.092 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
1.092 * [taylor]: Taking taylor expansion of 1/2 in y
1.092 * [backup-simplify]: Simplify 1/2 into 1/2
1.092 * [taylor]: Taking taylor expansion of (/ x y) in y
1.092 * [taylor]: Taking taylor expansion of x in y
1.092 * [backup-simplify]: Simplify x into x
1.092 * [taylor]: Taking taylor expansion of y in y
1.092 * [backup-simplify]: Simplify 0 into 0
1.092 * [backup-simplify]: Simplify 1 into 1
1.092 * [backup-simplify]: Simplify (/ x 1) into x
1.092 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.092 * [taylor]: Taking taylor expansion of x in y
1.092 * [backup-simplify]: Simplify x into x
1.092 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
1.093 * [taylor]: Taking taylor expansion of 1/2 in y
1.093 * [backup-simplify]: Simplify 1/2 into 1/2
1.093 * [taylor]: Taking taylor expansion of (/ x y) in y
1.093 * [taylor]: Taking taylor expansion of x in y
1.093 * [backup-simplify]: Simplify x into x
1.093 * [taylor]: Taking taylor expansion of y in y
1.093 * [backup-simplify]: Simplify 0 into 0
1.093 * [backup-simplify]: Simplify 1 into 1
1.093 * [backup-simplify]: Simplify (/ x 1) into x
1.093 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
1.093 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x))
1.093 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 x))) into (- (* 1/2 x))
1.093 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x
1.093 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
1.093 * [taylor]: Taking taylor expansion of 1/2 in x
1.093 * [backup-simplify]: Simplify 1/2 into 1/2
1.093 * [taylor]: Taking taylor expansion of x in x
1.093 * [backup-simplify]: Simplify 0 into 0
1.093 * [backup-simplify]: Simplify 1 into 1
1.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
1.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
1.095 * [backup-simplify]: Simplify (- 0) into 0
1.095 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
1.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.095 * [taylor]: Taking taylor expansion of x in x
1.095 * [backup-simplify]: Simplify 0 into 0
1.095 * [backup-simplify]: Simplify 1 into 1
1.095 * [backup-simplify]: Simplify (/ 1 1) into 1
1.095 * [backup-simplify]: Simplify 1 into 1
1.096 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.096 * [backup-simplify]: Simplify (- 0) into 0
1.096 * [backup-simplify]: Simplify 0 into 0
1.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
1.098 * [backup-simplify]: Simplify (- 0) into 0
1.099 * [backup-simplify]: Simplify (+ 0 0) into 0
1.099 * [taylor]: Taking taylor expansion of 0 in x
1.099 * [backup-simplify]: Simplify 0 into 0
1.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.099 * [backup-simplify]: Simplify 0 into 0
1.100 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.100 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.100 * [backup-simplify]: Simplify -1/2 into -1/2
1.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
1.103 * [backup-simplify]: Simplify (- 0) into 0
1.104 * [backup-simplify]: Simplify (+ 0 0) into 0
1.104 * [taylor]: Taking taylor expansion of 0 in x
1.104 * [backup-simplify]: Simplify 0 into 0
1.104 * [backup-simplify]: Simplify 0 into 0
1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.105 * [backup-simplify]: Simplify 0 into 0
1.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.106 * [backup-simplify]: Simplify (- 0) into 0
1.106 * [backup-simplify]: Simplify 0 into 0
1.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
1.110 * [backup-simplify]: Simplify (- 0) into 0
1.110 * [backup-simplify]: Simplify (+ 0 0) into 0
1.110 * [taylor]: Taking taylor expansion of 0 in x
1.110 * [backup-simplify]: Simplify 0 into 0
1.110 * [backup-simplify]: Simplify 0 into 0
1.110 * [backup-simplify]: Simplify 0 into 0
1.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.111 * [backup-simplify]: Simplify 0 into 0
1.111 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x (* 1/2 (/ y x))))
1.111 * * * [progress]: simplifying candidates
1.112 * [simplify]: Simplifying:
  (/ (exp (/ (- (/ y x)) 2)) (exp x))
  (log (- (/ (- (/ y x)) 2) x))
  (exp (- (/ (- (/ y x)) 2) x))
  (* (cbrt (- (/ (- (/ y x)) 2) x)) (cbrt (- (/ (- (/ y x)) 2) x)))
  (cbrt (- (/ (- (/ y x)) 2) x))
  (* (* (- (/ (- (/ y x)) 2) x) (- (/ (- (/ y x)) 2) x)) (- (/ (- (/ y x)) 2) x))
  (sqrt (- (/ (- (/ y x)) 2) x))
  (sqrt (- (/ (- (/ y x)) 2) x))
  (- (pow (/ (- (/ y x)) 2) 3) (pow x 3))
  (+ (* (/ (- (/ y x)) 2) (/ (- (/ y x)) 2)) (+ (* x x) (* (/ (- (/ y x)) 2) x)))
  (- x)
  (- (* (/ (- (/ y x)) 2) (/ (- (/ y x)) 2)) (* x x))
  (+ (/ (- (/ y x)) 2) x)
  (+ (sqrt (/ (- (/ y x)) 2)) (sqrt x))
  (- (sqrt (/ (- (/ y x)) 2)) (sqrt x))
  (+ (/ (sqrt (- (/ y x))) (sqrt 2)) (sqrt x))
  (- (/ (sqrt (- (/ y x))) (sqrt 2)) (sqrt x))
  (- (/ (- (/ y x)) 2) x)
  (+ (/ (/ y x) 2) x)
  (- x)
  (- (+ x (* 1/2 (/ y x))))
  (- (+ x (* 1/2 (/ y x))))
  (- (+ x (* 1/2 (/ y x))))
1.112 * [simplify]: Sending expressions to egg_math:
 (/ (exp (/ (- (/ h1 h0)) 2)) (exp h0))
 (log (- (/ (- (/ h1 h0)) 2) h0))
 (exp (- (/ (- (/ h1 h0)) 2) h0))
 (* (cbrt (- (/ (- (/ h1 h0)) 2) h0)) (cbrt (- (/ (- (/ h1 h0)) 2) h0)))
 (cbrt (- (/ (- (/ h1 h0)) 2) h0))
 (* (* (- (/ (- (/ h1 h0)) 2) h0) (- (/ (- (/ h1 h0)) 2) h0)) (- (/ (- (/ h1 h0)) 2) h0))
 (sqrt (- (/ (- (/ h1 h0)) 2) h0))
 (sqrt (- (/ (- (/ h1 h0)) 2) h0))
 (- (pow (/ (- (/ h1 h0)) 2) 3) (pow h0 3))
 (+ (* (/ (- (/ h1 h0)) 2) (/ (- (/ h1 h0)) 2)) (+ (* h0 h0) (* (/ (- (/ h1 h0)) 2) h0)))
 (- h0)
 (- (* (/ (- (/ h1 h0)) 2) (/ (- (/ h1 h0)) 2)) (* h0 h0))
 (+ (/ (- (/ h1 h0)) 2) h0)
 (+ (sqrt (/ (- (/ h1 h0)) 2)) (sqrt h0))
 (- (sqrt (/ (- (/ h1 h0)) 2)) (sqrt h0))
 (+ (/ (sqrt (- (/ h1 h0))) (sqrt 2)) (sqrt h0))
 (- (/ (sqrt (- (/ h1 h0))) (sqrt 2)) (sqrt h0))
 (- (/ (- (/ h1 h0)) 2) h0)
 (+ (/ (/ h1 h0) 2) h0)
 (- h0)
 (- (+ h0 (* (/ 1 2) (/ h1 h0))))
 (- (+ h0 (* (/ 1 2) (/ h1 h0))))
 (- (+ h0 (* (/ 1 2) (/ h1 h0))))
1.679 * * * [progress]: adding candidates to table
1.726 * * [progress]: iteration 3 / 4
1.726 * * * [progress]: picking best candidate
1.727 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (/ (/ y x) 2)))>
1.727 * * * [progress]: localizing error
1.735 * * * [progress]: generating rewritten candidates
1.735 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
1.767 * * * [progress]: generating series expansions
1.767 * * * * [progress]: [ 1 / 1 ] generating series at (2)
1.768 * [backup-simplify]: Simplify (+ x (/ (/ y x) 2)) into (+ x (* 1/2 (/ y x)))
1.768 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
1.768 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
1.768 * [taylor]: Taking taylor expansion of x in y
1.768 * [backup-simplify]: Simplify x into x
1.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
1.768 * [taylor]: Taking taylor expansion of 1/2 in y
1.768 * [backup-simplify]: Simplify 1/2 into 1/2
1.768 * [taylor]: Taking taylor expansion of (/ y x) in y
1.768 * [taylor]: Taking taylor expansion of y in y
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify 1 into 1
1.768 * [taylor]: Taking taylor expansion of x in y
1.768 * [backup-simplify]: Simplify x into x
1.768 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.768 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
1.768 * [taylor]: Taking taylor expansion of x in x
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify 1 into 1
1.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
1.768 * [taylor]: Taking taylor expansion of 1/2 in x
1.768 * [backup-simplify]: Simplify 1/2 into 1/2
1.768 * [taylor]: Taking taylor expansion of (/ y x) in x
1.768 * [taylor]: Taking taylor expansion of y in x
1.768 * [backup-simplify]: Simplify y into y
1.768 * [taylor]: Taking taylor expansion of x in x
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify 1 into 1
1.768 * [backup-simplify]: Simplify (/ y 1) into y
1.768 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
1.768 * [taylor]: Taking taylor expansion of x in x
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify 1 into 1
1.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
1.768 * [taylor]: Taking taylor expansion of 1/2 in x
1.768 * [backup-simplify]: Simplify 1/2 into 1/2
1.768 * [taylor]: Taking taylor expansion of (/ y x) in x
1.768 * [taylor]: Taking taylor expansion of y in x
1.768 * [backup-simplify]: Simplify y into y
1.768 * [taylor]: Taking taylor expansion of x in x
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify 1 into 1
1.768 * [backup-simplify]: Simplify (/ y 1) into y
1.768 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
1.768 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y)
1.768 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
1.768 * [taylor]: Taking taylor expansion of 1/2 in y
1.768 * [backup-simplify]: Simplify 1/2 into 1/2
1.768 * [taylor]: Taking taylor expansion of y in y
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify 1 into 1
1.769 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.769 * [backup-simplify]: Simplify 0 into 0
1.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
1.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
1.770 * [backup-simplify]: Simplify (+ 0 0) into 0
1.770 * [taylor]: Taking taylor expansion of 0 in y
1.770 * [backup-simplify]: Simplify 0 into 0
1.770 * [backup-simplify]: Simplify 0 into 0
1.771 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.771 * [backup-simplify]: Simplify 1/2 into 1/2
1.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
1.773 * [backup-simplify]: Simplify (+ 1 0) into 1
1.773 * [taylor]: Taking taylor expansion of 1 in y
1.773 * [backup-simplify]: Simplify 1 into 1
1.773 * [backup-simplify]: Simplify 1 into 1
1.773 * [backup-simplify]: Simplify 0 into 0
1.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.774 * [backup-simplify]: Simplify 0 into 0
1.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.777 * [backup-simplify]: Simplify (+ 0 0) into 0
1.777 * [taylor]: Taking taylor expansion of 0 in y
1.777 * [backup-simplify]: Simplify 0 into 0
1.777 * [backup-simplify]: Simplify 0 into 0
1.777 * [backup-simplify]: Simplify 0 into 0
1.777 * [backup-simplify]: Simplify 0 into 0
1.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.778 * [backup-simplify]: Simplify 0 into 0
1.778 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x)))
1.778 * [backup-simplify]: Simplify (+ (/ 1 x) (/ (/ (/ 1 y) (/ 1 x)) 2)) into (+ (* 1/2 (/ x y)) (/ 1 x))
1.778 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
1.778 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
1.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
1.778 * [taylor]: Taking taylor expansion of 1/2 in y
1.778 * [backup-simplify]: Simplify 1/2 into 1/2
1.778 * [taylor]: Taking taylor expansion of (/ x y) in y
1.778 * [taylor]: Taking taylor expansion of x in y
1.779 * [backup-simplify]: Simplify x into x
1.779 * [taylor]: Taking taylor expansion of y in y
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 1 into 1
1.779 * [backup-simplify]: Simplify (/ x 1) into x
1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.779 * [taylor]: Taking taylor expansion of x in y
1.779 * [backup-simplify]: Simplify x into x
1.779 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.779 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
1.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.779 * [taylor]: Taking taylor expansion of 1/2 in x
1.779 * [backup-simplify]: Simplify 1/2 into 1/2
1.779 * [taylor]: Taking taylor expansion of (/ x y) in x
1.779 * [taylor]: Taking taylor expansion of x in x
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 1 into 1
1.779 * [taylor]: Taking taylor expansion of y in x
1.779 * [backup-simplify]: Simplify y into y
1.779 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.779 * [taylor]: Taking taylor expansion of x in x
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 1 into 1
1.779 * [backup-simplify]: Simplify (/ 1 1) into 1
1.779 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
1.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.780 * [taylor]: Taking taylor expansion of 1/2 in x
1.780 * [backup-simplify]: Simplify 1/2 into 1/2
1.780 * [taylor]: Taking taylor expansion of (/ x y) in x
1.780 * [taylor]: Taking taylor expansion of x in x
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 1 into 1
1.780 * [taylor]: Taking taylor expansion of y in x
1.780 * [backup-simplify]: Simplify y into y
1.780 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.780 * [taylor]: Taking taylor expansion of x in x
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 1 into 1
1.780 * [backup-simplify]: Simplify (/ 1 1) into 1
1.781 * [backup-simplify]: Simplify (+ 0 1) into 1
1.781 * [taylor]: Taking taylor expansion of 1 in y
1.781 * [backup-simplify]: Simplify 1 into 1
1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.782 * [backup-simplify]: Simplify (+ 0 0) into 0
1.782 * [taylor]: Taking taylor expansion of 0 in y
1.782 * [backup-simplify]: Simplify 0 into 0
1.782 * [backup-simplify]: Simplify 1 into 1
1.782 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
1.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.783 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
1.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
1.783 * [taylor]: Taking taylor expansion of 1/2 in y
1.783 * [backup-simplify]: Simplify 1/2 into 1/2
1.783 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.783 * [taylor]: Taking taylor expansion of y in y
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify 1 into 1
1.783 * [backup-simplify]: Simplify (/ 1 1) into 1
1.783 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.783 * [backup-simplify]: Simplify 1/2 into 1/2
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify 0 into 0
1.784 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
1.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.785 * [backup-simplify]: Simplify (+ 0 0) into 0
1.785 * [taylor]: Taking taylor expansion of 0 in y
1.785 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify 0 into 0
1.787 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.789 * [backup-simplify]: Simplify (+ 0 0) into 0
1.789 * [taylor]: Taking taylor expansion of 0 in y
1.789 * [backup-simplify]: Simplify 0 into 0
1.789 * [backup-simplify]: Simplify 0 into 0
1.789 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
1.789 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (/ (/ (/ 1 (- y)) (/ 1 (- x))) 2)) into (- (* 1/2 (/ x y)) (/ 1 x))
1.789 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
1.789 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
1.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
1.789 * [taylor]: Taking taylor expansion of 1/2 in y
1.789 * [backup-simplify]: Simplify 1/2 into 1/2
1.789 * [taylor]: Taking taylor expansion of (/ x y) in y
1.789 * [taylor]: Taking taylor expansion of x in y
1.789 * [backup-simplify]: Simplify x into x
1.789 * [taylor]: Taking taylor expansion of y in y
1.789 * [backup-simplify]: Simplify 0 into 0
1.789 * [backup-simplify]: Simplify 1 into 1
1.789 * [backup-simplify]: Simplify (/ x 1) into x
1.789 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.790 * [taylor]: Taking taylor expansion of x in y
1.790 * [backup-simplify]: Simplify x into x
1.790 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.790 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
1.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.790 * [taylor]: Taking taylor expansion of 1/2 in x
1.790 * [backup-simplify]: Simplify 1/2 into 1/2
1.790 * [taylor]: Taking taylor expansion of (/ x y) in x
1.790 * [taylor]: Taking taylor expansion of x in x
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify 1 into 1
1.790 * [taylor]: Taking taylor expansion of y in x
1.790 * [backup-simplify]: Simplify y into y
1.790 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.790 * [taylor]: Taking taylor expansion of x in x
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify 1 into 1
1.790 * [backup-simplify]: Simplify (/ 1 1) into 1
1.790 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
1.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.790 * [taylor]: Taking taylor expansion of 1/2 in x
1.790 * [backup-simplify]: Simplify 1/2 into 1/2
1.790 * [taylor]: Taking taylor expansion of (/ x y) in x
1.790 * [taylor]: Taking taylor expansion of x in x
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify 1 into 1
1.790 * [taylor]: Taking taylor expansion of y in x
1.791 * [backup-simplify]: Simplify y into y
1.791 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.791 * [taylor]: Taking taylor expansion of x in x
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify 1 into 1
1.791 * [backup-simplify]: Simplify (/ 1 1) into 1
1.791 * [backup-simplify]: Simplify (- 1) into -1
1.792 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.792 * [taylor]: Taking taylor expansion of -1 in y
1.792 * [backup-simplify]: Simplify -1 into -1
1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.793 * [backup-simplify]: Simplify (- 0) into 0
1.793 * [backup-simplify]: Simplify (+ 0 0) into 0
1.793 * [taylor]: Taking taylor expansion of 0 in y
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [backup-simplify]: Simplify -1 into -1
1.793 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.798 * [backup-simplify]: Simplify (- 0) into 0
1.798 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
1.798 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
1.798 * [taylor]: Taking taylor expansion of 1/2 in y
1.798 * [backup-simplify]: Simplify 1/2 into 1/2
1.798 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.798 * [taylor]: Taking taylor expansion of y in y
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [backup-simplify]: Simplify 1 into 1
1.799 * [backup-simplify]: Simplify (/ 1 1) into 1
1.799 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.799 * [backup-simplify]: Simplify 1/2 into 1/2
1.799 * [backup-simplify]: Simplify 0 into 0
1.799 * [backup-simplify]: Simplify 0 into 0
1.799 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
1.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.801 * [backup-simplify]: Simplify (- 0) into 0
1.801 * [backup-simplify]: Simplify (+ 0 0) into 0
1.801 * [taylor]: Taking taylor expansion of 0 in y
1.801 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.802 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify 0 into 0
1.803 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.804 * [backup-simplify]: Simplify (- 0) into 0
1.805 * [backup-simplify]: Simplify (+ 0 0) into 0
1.805 * [taylor]: Taking taylor expansion of 0 in y
1.805 * [backup-simplify]: Simplify 0 into 0
1.805 * [backup-simplify]: Simplify 0 into 0
1.805 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x)))
1.805 * * * [progress]: simplifying candidates
1.806 * [simplify]: Simplifying:
  (* (exp x) (exp (/ (/ y x) 2)))
  (log (+ x (/ (/ y x) 2)))
  (exp (+ x (/ (/ y x) 2)))
  (* (cbrt (+ x (/ (/ y x) 2))) (cbrt (+ x (/ (/ y x) 2))))
  (cbrt (+ x (/ (/ y x) 2)))
  (* (* (+ x (/ (/ y x) 2)) (+ x (/ (/ y x) 2))) (+ x (/ (/ y x) 2)))
  (sqrt (+ x (/ (/ y x) 2)))
  (sqrt (+ x (/ (/ y x) 2)))
  (+ (pow x 3) (pow (/ (/ y x) 2) 3))
  (+ (* x x) (- (* (/ (/ y x) 2) (/ (/ y x) 2)) (* x (/ (/ y x) 2))))
  (- (* x x) (* (/ (/ y x) 2) (/ (/ y x) 2)))
  (- x (/ (/ y x) 2))
  (+ x (/ (/ y x) 2))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
1.806 * [simplify]: Sending expressions to egg_math:
 (* (exp h0) (exp (/ (/ h1 h0) 2)))
 (log (+ h0 (/ (/ h1 h0) 2)))
 (exp (+ h0 (/ (/ h1 h0) 2)))
 (* (cbrt (+ h0 (/ (/ h1 h0) 2))) (cbrt (+ h0 (/ (/ h1 h0) 2))))
 (cbrt (+ h0 (/ (/ h1 h0) 2)))
 (* (* (+ h0 (/ (/ h1 h0) 2)) (+ h0 (/ (/ h1 h0) 2))) (+ h0 (/ (/ h1 h0) 2)))
 (sqrt (+ h0 (/ (/ h1 h0) 2)))
 (sqrt (+ h0 (/ (/ h1 h0) 2)))
 (+ (pow h0 3) (pow (/ (/ h1 h0) 2) 3))
 (+ (* h0 h0) (- (* (/ (/ h1 h0) 2) (/ (/ h1 h0) 2)) (* h0 (/ (/ h1 h0) 2))))
 (- (* h0 h0) (* (/ (/ h1 h0) 2) (/ (/ h1 h0) 2)))
 (- h0 (/ (/ h1 h0) 2))
 (+ h0 (/ (/ h1 h0) 2))
 (+ h0 (* (/ 1 2) (/ h1 h0)))
 (+ h0 (* (/ 1 2) (/ h1 h0)))
 (+ h0 (* (/ 1 2) (/ h1 h0)))
2.461 * * * [progress]: adding candidates to table
2.491 * [progress]: [Phase 3 of 3] Extracting.
2.491 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (/ (- (/ y x)) 2) x))> #<alt (λ (x y) (+ x (/ (/ y x) 2)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.491 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
2.491 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (- (/ (- (/ y x)) 2) x))> #<alt (λ (x y) (+ x (/ (/ y x) 2)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.512 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (- (/ (- (/ y x)) 2) x))> #<alt (λ (x y) (+ x (/ (/ y x) 2)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.538 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (- (/ (- (/ y x)) 2) x))> #<alt (λ (x y) (+ x (/ (/ y x) 2)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.564 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (/ (- (/ y x)) 2) x))> #<alt (λ (x y) (+ x (/ (/ y x) 2)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.592 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (/ (- (/ y x)) 2) x))> #<alt (λ (x y) (+ x (/ (/ y x) 2)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.623 * * * [regime]: Found split indices: #<option (#s(si 0 43) #s(si 2 198) #s(si 1 255))>
2.624 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (- (/ (- (/ y x)) 2) x))> #<alt (λ (x y) (+ x (/ (/ y x) 2)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.691 * [regimes]: Found splitpoints: (#s(sp 0 x -1.3303999492099964e+154) #s(sp 2 x 6.063771965228405e+84) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (- (/ (- (/ y x)) 2) x))> #<alt (λ (x y) (+ x (/ (/ y x) 2)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.692 * [simplify]: Simplifying:
  (if (<= x -1.3303999492099964e+154) (- (/ (- (/ y x)) 2) x) (if (<= x 6.063771965228405e+84) (sqrt (+ (* x x) y)) (+ x (/ (/ y x) 2))))
2.692 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 -1.3303999492099964e+154) (- (/ (- (/ h1 h0)) 2) h0) (if (<= h0 6.063771965228405e+84) (sqrt (+ (* h0 h0) h1)) (+ h0 (/ (/ h1 h0) 2))))
3.642 * [regime-testing]: Baseline error score: 20.93499187398425
3.644 * [regime-testing]: Oracle error score: 0.002750343792974122
3.650 * [regime-testing]: End program error score: 0.26422314913338235
3.699 * [regime-testing]: Target error score: 0.5165771228967615