14.951 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.021 * * * [progress]: [2/2] Setting up program.
0.023 * [progress]: [Phase 2 of 3] Improving.
0.023 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.023 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (* h1 h1) h0))
0.025 * * [progress]: iteration 1 / 4
0.025 * * * [progress]: picking best candidate
0.027 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.027 * * * [progress]: localizing error
0.032 * * * [progress]: generating rewritten candidates
0.032 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.052 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.065 * * * [progress]: generating series expansions
0.065 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.065 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.065 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.065 * [taylor]: Taking taylor expansion of x in y
0.065 * [backup-simplify]: Simplify x into x
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
0.065 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.066 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.066 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.066 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.066 * [backup-simplify]: Simplify (+ 0 1) into 1
0.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.066 * [taylor]: Taking taylor expansion of x in x
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify 1 into 1
0.067 * [taylor]: Taking taylor expansion of y in x
0.067 * [backup-simplify]: Simplify y into y
0.067 * [backup-simplify]: Simplify (+ 0 y) into y
0.067 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.067 * [taylor]: Taking taylor expansion of x in x
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [taylor]: Taking taylor expansion of y in x
0.067 * [backup-simplify]: Simplify y into y
0.067 * [backup-simplify]: Simplify (+ 0 y) into y
0.067 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.068 * [taylor]: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0
0.070 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [taylor]: Taking taylor expansion of 0 in y
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.070 * [backup-simplify]: Simplify (* 1 1) into 1
0.070 * [backup-simplify]: Simplify (+ 1 0) into 1
0.071 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.071 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.071 * [taylor]: Taking taylor expansion of 1/2 in y
0.071 * [backup-simplify]: Simplify 1/2 into 1/2
0.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.071 * [taylor]: Taking taylor expansion of y in y
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 1 into 1
0.071 * [backup-simplify]: Simplify (/ 1 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 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.073 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.073 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.075 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.076 * [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))))))
0.076 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.076 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.076 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.076 * [taylor]: Taking taylor expansion of x in y
0.076 * [backup-simplify]: Simplify x into x
0.076 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.076 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.076 * [taylor]: Taking taylor expansion of y in y
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.076 * [backup-simplify]: Simplify (/ 1 1) into 1
0.077 * [backup-simplify]: Simplify (+ 0 1) into 1
0.077 * [backup-simplify]: Simplify (sqrt 0) into 0
0.078 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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
0.079 * [backup-simplify]: Simplify (/ 1 1) into 1
0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.079 * [taylor]: Taking taylor expansion of y in x
0.079 * [backup-simplify]: Simplify y into y
0.079 * [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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.081 * [taylor]: Taking taylor expansion of x in x
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.081 * [backup-simplify]: Simplify (* 1 1) into 1
0.081 * [backup-simplify]: Simplify (/ 1 1) into 1
0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.081 * [taylor]: Taking taylor expansion of y in x
0.081 * [backup-simplify]: Simplify y into y
0.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.082 * [backup-simplify]: Simplify (+ 1 0) into 1
0.082 * [backup-simplify]: Simplify (sqrt 1) into 1
0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.083 * [taylor]: Taking taylor expansion of 1 in y
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [taylor]: Taking taylor expansion of 0 in y
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.084 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.085 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.085 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.085 * [taylor]: Taking taylor expansion of 1/2 in y
0.085 * [backup-simplify]: Simplify 1/2 into 1/2
0.085 * [taylor]: Taking taylor expansion of y in y
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.086 * [backup-simplify]: Simplify 1/2 into 1/2
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.088 * [taylor]: Taking taylor expansion of 0 in y
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.089 * [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
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.091 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.091 * [taylor]: Taking taylor expansion of -1/8 in y
0.091 * [backup-simplify]: Simplify -1/8 into -1/8
0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.091 * [taylor]: Taking taylor expansion of y in y
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (* 1 1) into 1
0.091 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [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
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.093 * [taylor]: Taking taylor expansion of x in y
0.093 * [backup-simplify]: Simplify x into x
0.093 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.093 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.093 * [taylor]: Taking taylor expansion of y in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (/ 1 1) into 1
0.094 * [backup-simplify]: Simplify (- 1) into -1
0.094 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.094 * [backup-simplify]: Simplify (sqrt 0) into 0
0.096 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.096 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.096 * [taylor]: Taking taylor expansion of x in x
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [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
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.100 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.100 * [taylor]: Taking taylor expansion of x in x
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (* 1 1) into 1
0.115 * [backup-simplify]: Simplify (/ 1 1) into 1
0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.115 * [taylor]: Taking taylor expansion of y in x
0.115 * [backup-simplify]: Simplify y into y
0.115 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.116 * [backup-simplify]: Simplify (+ 1 0) into 1
0.116 * [backup-simplify]: Simplify (sqrt 1) into 1
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.119 * [taylor]: Taking taylor expansion of 1 in y
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [taylor]: Taking taylor expansion of 0 in y
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.122 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.123 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.123 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.123 * [taylor]: Taking taylor expansion of -1/2 in y
0.123 * [backup-simplify]: Simplify -1/2 into -1/2
0.123 * [taylor]: Taking taylor expansion of y in y
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 1 into 1
0.123 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.123 * [backup-simplify]: Simplify -1/2 into -1/2
0.123 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.127 * [taylor]: Taking taylor expansion of 0 in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.130 * [backup-simplify]: Simplify (- 0) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.132 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.132 * [taylor]: Taking taylor expansion of -1/8 in y
0.132 * [backup-simplify]: Simplify -1/8 into -1/8
0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.132 * [taylor]: Taking taylor expansion of y in y
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (* 1 1) into 1
0.133 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.135 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.135 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.135 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.135 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.135 * [taylor]: Taking taylor expansion of x in y
0.135 * [backup-simplify]: Simplify x into x
0.135 * [taylor]: Taking taylor expansion of y in y
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.135 * [taylor]: Taking taylor expansion of x in x
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.135 * [taylor]: Taking taylor expansion of y in x
0.135 * [backup-simplify]: Simplify y into y
0.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.136 * [taylor]: Taking taylor expansion of x in x
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [taylor]: Taking taylor expansion of y in x
0.136 * [backup-simplify]: Simplify y into y
0.136 * [backup-simplify]: Simplify (+ 0 y) into y
0.136 * [taylor]: Taking taylor expansion of y in y
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [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 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify (* 1 1) into 1
0.137 * [backup-simplify]: Simplify (+ 1 0) into 1
0.137 * [taylor]: Taking taylor expansion of 1 in y
0.137 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) 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
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) 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)
0.140 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.140 * [taylor]: Taking taylor expansion of y in y
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 * [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
0.141 * [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)
0.141 * [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
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (* 1 1) into 1
0.142 * [backup-simplify]: Simplify (/ 1 1) into 1
0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.143 * [taylor]: Taking taylor expansion of y in x
0.143 * [backup-simplify]: Simplify y into y
0.143 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.143 * [backup-simplify]: Simplify (+ 1 0) into 1
0.143 * [taylor]: Taking taylor expansion of 1 in y
0.143 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [taylor]: Taking taylor expansion of 0 in y
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.147 * [taylor]: Taking taylor expansion of y in y
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (/ 1 1) into 1
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.150 * [backup-simplify]: Simplify (+ 0 0) into 0
0.150 * [taylor]: Taking taylor expansion of 0 in y
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.152 * [taylor]: Taking taylor expansion of 0 in y
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [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 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.152 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.152 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.152 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.152 * [taylor]: Taking taylor expansion of x in y
0.152 * [backup-simplify]: Simplify x into x
0.152 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.152 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.153 * [taylor]: Taking taylor expansion of y in y
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (/ 1 1) into 1
0.153 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.153 * [taylor]: Taking taylor expansion of x in x
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (* 1 1) into 1
0.153 * [backup-simplify]: Simplify (/ 1 1) into 1
0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.153 * [taylor]: Taking taylor expansion of y in x
0.153 * [backup-simplify]: Simplify y into y
0.153 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.153 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.154 * [taylor]: Taking taylor expansion of x in x
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.154 * [backup-simplify]: Simplify (* 1 1) into 1
0.154 * [backup-simplify]: Simplify (/ 1 1) into 1
0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.154 * [taylor]: Taking taylor expansion of y in x
0.154 * [backup-simplify]: Simplify y into y
0.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.154 * [backup-simplify]: Simplify (+ 1 0) into 1
0.154 * [taylor]: Taking taylor expansion of 1 in y
0.154 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.156 * [taylor]: Taking taylor expansion of 0 in y
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.157 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.157 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.157 * [taylor]: Taking taylor expansion of y in y
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (/ 1 1) into 1
0.157 * [backup-simplify]: Simplify (- 1) into -1
0.157 * [backup-simplify]: Simplify -1 into -1
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.159 * [backup-simplify]: Simplify (- 0) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [taylor]: Taking taylor expansion of 0 in y
0.159 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (- 0) into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.162 * [backup-simplify]: Simplify (- 0) into 0
0.162 * [backup-simplify]: Simplify (+ 0 0) into 0
0.162 * [taylor]: Taking taylor expansion of 0 in y
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.163 * * * [progress]: simplifying candidates
0.164 * [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)
0.164 * [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
0.316 * * [progress]: iteration 2 / 4
0.316 * * * [progress]: picking best candidate
0.320 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))>
0.320 * * * [progress]: localizing error
0.336 * * * [progress]: generating rewritten candidates
0.336 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
0.360 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
0.380 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.456 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.482 * * * [progress]: generating series expansions
0.482 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
0.482 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.482 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.482 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.482 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.483 * [taylor]: Taking taylor expansion of x in y
0.483 * [backup-simplify]: Simplify x into x
0.483 * [taylor]: Taking taylor expansion of y in y
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.483 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.483 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.483 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.484 * [backup-simplify]: Simplify (+ 0 1) into 1
0.484 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.484 * [taylor]: Taking taylor expansion of x in x
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 1 into 1
0.484 * [taylor]: Taking taylor expansion of y in x
0.484 * [backup-simplify]: Simplify y into y
0.484 * [backup-simplify]: Simplify (+ 0 y) into y
0.484 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.485 * [backup-simplify]: Simplify (+ 0 0) into 0
0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.485 * [taylor]: Taking taylor expansion of x in x
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [taylor]: Taking taylor expansion of y in x
0.485 * [backup-simplify]: Simplify y into y
0.485 * [backup-simplify]: Simplify (+ 0 y) into y
0.485 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.486 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.486 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.486 * [taylor]: Taking taylor expansion of y in y
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify (sqrt 0) into 0
0.488 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [taylor]: Taking taylor expansion of 0 in y
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.488 * [backup-simplify]: Simplify (* 1 1) into 1
0.489 * [backup-simplify]: Simplify (+ 1 0) into 1
0.489 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.490 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.490 * [taylor]: Taking taylor expansion of 1/2 in y
0.490 * [backup-simplify]: Simplify 1/2 into 1/2
0.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.490 * [taylor]: Taking taylor expansion of y in y
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (/ 1 1) into 1
0.490 * [backup-simplify]: Simplify (sqrt 0) into 0
0.492 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.493 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.493 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.493 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.495 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.495 * [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))))))
0.496 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.496 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.496 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.496 * [taylor]: Taking taylor expansion of x in y
0.496 * [backup-simplify]: Simplify x into x
0.496 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.496 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.496 * [taylor]: Taking taylor expansion of y in y
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.496 * [backup-simplify]: Simplify (/ 1 1) into 1
0.496 * [backup-simplify]: Simplify (+ 0 1) into 1
0.497 * [backup-simplify]: Simplify (sqrt 0) into 0
0.498 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.498 * [taylor]: Taking taylor expansion of x in x
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [backup-simplify]: Simplify (* 1 1) into 1
0.498 * [backup-simplify]: Simplify (/ 1 1) into 1
0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.498 * [taylor]: Taking taylor expansion of y in x
0.498 * [backup-simplify]: Simplify y into y
0.498 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.498 * [backup-simplify]: Simplify (+ 1 0) into 1
0.499 * [backup-simplify]: Simplify (sqrt 1) into 1
0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ 0 0) into 0
0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.500 * [taylor]: Taking taylor expansion of x in x
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.501 * [backup-simplify]: Simplify (* 1 1) into 1
0.501 * [backup-simplify]: Simplify (/ 1 1) into 1
0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.501 * [taylor]: Taking taylor expansion of y in x
0.501 * [backup-simplify]: Simplify y into y
0.501 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.501 * [backup-simplify]: Simplify (+ 1 0) into 1
0.501 * [backup-simplify]: Simplify (sqrt 1) into 1
0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.503 * [taylor]: Taking taylor expansion of 1 in y
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [taylor]: Taking taylor expansion of 0 in y
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.505 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.505 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.505 * [taylor]: Taking taylor expansion of 1/2 in y
0.505 * [backup-simplify]: Simplify 1/2 into 1/2
0.505 * [taylor]: Taking taylor expansion of y in y
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.505 * [backup-simplify]: Simplify 1/2 into 1/2
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.507 * [backup-simplify]: Simplify (+ 0 0) into 0
0.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.507 * [taylor]: Taking taylor expansion of 0 in y
0.507 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.509 * [backup-simplify]: Simplify (+ 0 0) into 0
0.510 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.510 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.510 * [taylor]: Taking taylor expansion of -1/8 in y
0.510 * [backup-simplify]: Simplify -1/8 into -1/8
0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.510 * [taylor]: Taking taylor expansion of y in y
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 1 into 1
0.510 * [backup-simplify]: Simplify (* 1 1) into 1
0.511 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.512 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.512 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.512 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.512 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.512 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.512 * [taylor]: Taking taylor expansion of x in y
0.512 * [backup-simplify]: Simplify x into x
0.512 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.512 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.512 * [taylor]: Taking taylor expansion of y in y
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 1 into 1
0.513 * [backup-simplify]: Simplify (/ 1 1) into 1
0.513 * [backup-simplify]: Simplify (- 1) into -1
0.513 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.513 * [backup-simplify]: Simplify (sqrt 0) into 0
0.514 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.514 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.514 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.514 * [taylor]: Taking taylor expansion of x in x
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (/ 1 1) into 1
0.515 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.515 * [taylor]: Taking taylor expansion of y in x
0.515 * [backup-simplify]: Simplify y into y
0.515 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.515 * [backup-simplify]: Simplify (+ 1 0) into 1
0.515 * [backup-simplify]: Simplify (sqrt 1) into 1
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.517 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.517 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.517 * [taylor]: Taking taylor expansion of x in x
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.517 * [backup-simplify]: Simplify (* 1 1) into 1
0.518 * [backup-simplify]: Simplify (/ 1 1) into 1
0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.518 * [taylor]: Taking taylor expansion of y in x
0.518 * [backup-simplify]: Simplify y into y
0.518 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.518 * [backup-simplify]: Simplify (+ 1 0) into 1
0.518 * [backup-simplify]: Simplify (sqrt 1) into 1
0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (+ 0 0) into 0
0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.520 * [taylor]: Taking taylor expansion of 1 in y
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [taylor]: Taking taylor expansion of 0 in y
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.523 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.524 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.524 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.524 * [taylor]: Taking taylor expansion of -1/2 in y
0.524 * [backup-simplify]: Simplify -1/2 into -1/2
0.524 * [taylor]: Taking taylor expansion of y in y
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 1 into 1
0.524 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.524 * [backup-simplify]: Simplify -1/2 into -1/2
0.524 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.527 * [backup-simplify]: Simplify (- 0) into 0
0.527 * [backup-simplify]: Simplify (+ 0 0) into 0
0.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.528 * [taylor]: Taking taylor expansion of 0 in y
0.528 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.532 * [backup-simplify]: Simplify (- 0) into 0
0.532 * [backup-simplify]: Simplify (+ 0 0) into 0
0.533 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.533 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.533 * [taylor]: Taking taylor expansion of -1/8 in y
0.533 * [backup-simplify]: Simplify -1/8 into -1/8
0.533 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.533 * [taylor]: Taking taylor expansion of y in y
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (* 1 1) into 1
0.534 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.536 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
0.536 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.536 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.537 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.537 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.537 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.537 * [taylor]: Taking taylor expansion of x in y
0.537 * [backup-simplify]: Simplify x into x
0.537 * [taylor]: Taking taylor expansion of y in y
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.537 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.537 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.537 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.537 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.538 * [backup-simplify]: Simplify (+ 0 1) into 1
0.538 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.538 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.538 * [taylor]: Taking taylor expansion of x in x
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.538 * [taylor]: Taking taylor expansion of y in x
0.538 * [backup-simplify]: Simplify y into y
0.538 * [backup-simplify]: Simplify (+ 0 y) into y
0.538 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.539 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.539 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.539 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.539 * [taylor]: Taking taylor expansion of x in x
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 1 into 1
0.539 * [taylor]: Taking taylor expansion of y in x
0.539 * [backup-simplify]: Simplify y into y
0.539 * [backup-simplify]: Simplify (+ 0 y) into y
0.539 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.540 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.540 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.540 * [taylor]: Taking taylor expansion of y in y
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 1 into 1
0.541 * [backup-simplify]: Simplify (sqrt 0) into 0
0.542 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [taylor]: Taking taylor expansion of 0 in y
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.543 * [backup-simplify]: Simplify (* 1 1) into 1
0.543 * [backup-simplify]: Simplify (+ 1 0) into 1
0.548 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.548 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) 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 (sqrt (/ 1 y)) in y
0.548 * [taylor]: Taking taylor expansion of (/ 1 y) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.549 * [backup-simplify]: Simplify (sqrt 0) into 0
0.549 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.550 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.550 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.550 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.552 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.553 * [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))))))
0.553 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.553 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.553 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.553 * [taylor]: Taking taylor expansion of x in y
0.553 * [backup-simplify]: Simplify x into x
0.553 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.553 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.553 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.553 * [taylor]: Taking taylor expansion of y in y
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (/ 1 1) into 1
0.554 * [backup-simplify]: Simplify (+ 0 1) into 1
0.554 * [backup-simplify]: Simplify (sqrt 0) into 0
0.555 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.555 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.555 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.555 * [taylor]: Taking taylor expansion of x in x
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify (* 1 1) into 1
0.555 * [backup-simplify]: Simplify (/ 1 1) into 1
0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.556 * [taylor]: Taking taylor expansion of y in x
0.556 * [backup-simplify]: Simplify y into y
0.556 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.556 * [backup-simplify]: Simplify (+ 1 0) into 1
0.556 * [backup-simplify]: Simplify (sqrt 1) into 1
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.558 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.558 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.558 * [taylor]: Taking taylor expansion of (/ 1 y) in x
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 * [backup-simplify]: Simplify (+ 1 0) into 1
0.559 * [backup-simplify]: Simplify (sqrt 1) into 1
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ 0 0) into 0
0.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.560 * [taylor]: Taking taylor expansion of 1 in y
0.560 * [backup-simplify]: Simplify 1 into 1
0.560 * [taylor]: Taking taylor expansion of 0 in y
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 1 into 1
0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.561 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.562 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.562 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.562 * [taylor]: Taking taylor expansion of 1/2 in y
0.562 * [backup-simplify]: Simplify 1/2 into 1/2
0.562 * [taylor]: Taking taylor expansion of y in y
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 1 into 1
0.562 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.563 * [backup-simplify]: Simplify 1/2 into 1/2
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.564 * [backup-simplify]: Simplify (+ 0 0) into 0
0.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.564 * [taylor]: Taking taylor expansion of 0 in y
0.564 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.566 * [backup-simplify]: Simplify (+ 0 0) into 0
0.567 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.567 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.567 * [taylor]: Taking taylor expansion of -1/8 in y
0.567 * [backup-simplify]: Simplify -1/8 into -1/8
0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.567 * [taylor]: Taking taylor expansion of y in y
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 1 into 1
0.568 * [backup-simplify]: Simplify (* 1 1) into 1
0.568 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.569 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.569 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.569 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.569 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.569 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.569 * [taylor]: Taking taylor expansion of x in y
0.569 * [backup-simplify]: Simplify x into x
0.569 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.569 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 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
0.570 * [backup-simplify]: Simplify (/ 1 1) into 1
0.570 * [backup-simplify]: Simplify (- 1) into -1
0.570 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.570 * [backup-simplify]: Simplify (sqrt 0) into 0
0.571 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.571 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.571 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.571 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.571 * [taylor]: Taking taylor expansion of x in x
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (* 1 1) into 1
0.572 * [backup-simplify]: Simplify (/ 1 1) into 1
0.572 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.572 * [taylor]: Taking taylor expansion of y in x
0.572 * [backup-simplify]: Simplify y into y
0.572 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.572 * [backup-simplify]: Simplify (+ 1 0) into 1
0.572 * [backup-simplify]: Simplify (sqrt 1) into 1
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ 0 0) into 0
0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.574 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.574 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.574 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.574 * [taylor]: Taking taylor expansion of x in x
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (* 1 1) into 1
0.574 * [backup-simplify]: Simplify (/ 1 1) into 1
0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.574 * [taylor]: Taking taylor expansion of y in x
0.575 * [backup-simplify]: Simplify y into y
0.575 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.575 * [backup-simplify]: Simplify (+ 1 0) into 1
0.575 * [backup-simplify]: Simplify (sqrt 1) into 1
0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.576 * [backup-simplify]: Simplify (+ 0 0) into 0
0.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.577 * [taylor]: Taking taylor expansion of 1 in y
0.577 * [backup-simplify]: Simplify 1 into 1
0.577 * [taylor]: Taking taylor expansion of 0 in y
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.579 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.579 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.580 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.580 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.580 * [taylor]: Taking taylor expansion of -1/2 in y
0.580 * [backup-simplify]: Simplify -1/2 into -1/2
0.580 * [taylor]: Taking taylor expansion of y in y
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify 1 into 1
0.581 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.581 * [backup-simplify]: Simplify -1/2 into -1/2
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.583 * [backup-simplify]: Simplify (- 0) into 0
0.584 * [backup-simplify]: Simplify (+ 0 0) into 0
0.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.584 * [taylor]: Taking taylor expansion of 0 in y
0.584 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.588 * [backup-simplify]: Simplify (- 0) into 0
0.588 * [backup-simplify]: Simplify (+ 0 0) into 0
0.590 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.590 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.590 * [taylor]: Taking taylor expansion of -1/8 in y
0.590 * [backup-simplify]: Simplify -1/8 into -1/8
0.590 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.590 * [taylor]: Taking taylor expansion of y in y
0.590 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify 1 into 1
0.590 * [backup-simplify]: Simplify (* 1 1) into 1
0.591 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.592 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.593 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.593 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) into (sqrt (+ (pow x 2) y))
0.593 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.593 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.593 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.593 * [taylor]: Taking taylor expansion of x in y
0.593 * [backup-simplify]: Simplify x into x
0.593 * [taylor]: Taking taylor expansion of y in y
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 1 into 1
0.594 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.594 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.594 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.594 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.595 * [backup-simplify]: Simplify (+ 0 1) into 1
0.595 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.595 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.595 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.595 * [taylor]: Taking taylor expansion of x in x
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 1 into 1
0.595 * [taylor]: Taking taylor expansion of y in x
0.595 * [backup-simplify]: Simplify y into y
0.595 * [backup-simplify]: Simplify (+ 0 y) into y
0.595 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.596 * [backup-simplify]: Simplify (+ 0 0) into 0
0.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.596 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.596 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.596 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.596 * [taylor]: Taking taylor expansion of x in x
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 1 into 1
0.596 * [taylor]: Taking taylor expansion of y in x
0.596 * [backup-simplify]: Simplify y into y
0.596 * [backup-simplify]: Simplify (+ 0 y) into y
0.596 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.596 * [backup-simplify]: Simplify (+ 0 0) into 0
0.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.597 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.597 * [taylor]: Taking taylor expansion of y in y
0.597 * [backup-simplify]: Simplify 0 into 0
0.597 * [backup-simplify]: Simplify 1 into 1
0.597 * [backup-simplify]: Simplify (sqrt 0) into 0
0.598 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.598 * [backup-simplify]: Simplify 0 into 0
0.599 * [taylor]: Taking taylor expansion of 0 in y
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.599 * [backup-simplify]: Simplify (* 1 1) into 1
0.599 * [backup-simplify]: Simplify (+ 1 0) into 1
0.600 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.600 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.600 * [taylor]: Taking taylor expansion of 1/2 in y
0.600 * [backup-simplify]: Simplify 1/2 into 1/2
0.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.600 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.600 * [taylor]: Taking taylor expansion of y in y
0.600 * [backup-simplify]: Simplify 0 into 0
0.600 * [backup-simplify]: Simplify 1 into 1
0.601 * [backup-simplify]: Simplify (/ 1 1) into 1
0.601 * [backup-simplify]: Simplify (sqrt 0) into 0
0.603 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.604 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.604 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.605 * [backup-simplify]: Simplify 0 into 0
0.608 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.608 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.609 * [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))))))
0.609 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.609 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.610 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.610 * [taylor]: Taking taylor expansion of x in y
0.610 * [backup-simplify]: Simplify x into x
0.610 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.610 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.610 * [taylor]: Taking taylor expansion of y in y
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 1 into 1
0.610 * [backup-simplify]: Simplify (/ 1 1) into 1
0.611 * [backup-simplify]: Simplify (+ 0 1) into 1
0.611 * [backup-simplify]: Simplify (sqrt 0) into 0
0.613 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.613 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.613 * [taylor]: Taking taylor expansion of x in x
0.613 * [backup-simplify]: Simplify 0 into 0
0.613 * [backup-simplify]: Simplify 1 into 1
0.613 * [backup-simplify]: Simplify (* 1 1) into 1
0.614 * [backup-simplify]: Simplify (/ 1 1) into 1
0.614 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.614 * [taylor]: Taking taylor expansion of y in x
0.614 * [backup-simplify]: Simplify y into y
0.614 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.614 * [backup-simplify]: Simplify (+ 1 0) into 1
0.615 * [backup-simplify]: Simplify (sqrt 1) into 1
0.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.616 * [backup-simplify]: Simplify (+ 0 0) into 0
0.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.617 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.617 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.617 * [taylor]: Taking taylor expansion of x in x
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify 1 into 1
0.618 * [backup-simplify]: Simplify (* 1 1) into 1
0.618 * [backup-simplify]: Simplify (/ 1 1) into 1
0.618 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.618 * [taylor]: Taking taylor expansion of y in x
0.618 * [backup-simplify]: Simplify y into y
0.618 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.619 * [backup-simplify]: Simplify (+ 1 0) into 1
0.619 * [backup-simplify]: Simplify (sqrt 1) into 1
0.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.621 * [backup-simplify]: Simplify (+ 0 0) into 0
0.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.622 * [taylor]: Taking taylor expansion of 1 in y
0.622 * [backup-simplify]: Simplify 1 into 1
0.622 * [taylor]: Taking taylor expansion of 0 in y
0.622 * [backup-simplify]: Simplify 0 into 0
0.622 * [backup-simplify]: Simplify 1 into 1
0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.624 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.625 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.625 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.625 * [taylor]: Taking taylor expansion of 1/2 in y
0.625 * [backup-simplify]: Simplify 1/2 into 1/2
0.625 * [taylor]: Taking taylor expansion of y in y
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 1 into 1
0.626 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.626 * [backup-simplify]: Simplify 1/2 into 1/2
0.626 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify 0 into 0
0.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.628 * [backup-simplify]: Simplify (+ 0 0) into 0
0.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.629 * [taylor]: Taking taylor expansion of 0 in y
0.629 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.630 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.633 * [backup-simplify]: Simplify (+ 0 0) into 0
0.634 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.634 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.634 * [taylor]: Taking taylor expansion of -1/8 in y
0.634 * [backup-simplify]: Simplify -1/8 into -1/8
0.634 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.634 * [taylor]: Taking taylor expansion of y in y
0.634 * [backup-simplify]: Simplify 0 into 0
0.634 * [backup-simplify]: Simplify 1 into 1
0.635 * [backup-simplify]: Simplify (* 1 1) into 1
0.635 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.637 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.638 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.638 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.638 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.638 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.638 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.638 * [taylor]: Taking taylor expansion of x in y
0.638 * [backup-simplify]: Simplify x into x
0.638 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.638 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.638 * [taylor]: Taking taylor expansion of y in y
0.638 * [backup-simplify]: Simplify 0 into 0
0.638 * [backup-simplify]: Simplify 1 into 1
0.639 * [backup-simplify]: Simplify (/ 1 1) into 1
0.639 * [backup-simplify]: Simplify (- 1) into -1
0.639 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.640 * [backup-simplify]: Simplify (sqrt 0) into 0
0.641 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.641 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.641 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.641 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.641 * [taylor]: Taking taylor expansion of x in x
0.641 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify 1 into 1
0.642 * [backup-simplify]: Simplify (* 1 1) into 1
0.642 * [backup-simplify]: Simplify (/ 1 1) into 1
0.642 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.642 * [taylor]: Taking taylor expansion of y in x
0.642 * [backup-simplify]: Simplify y into y
0.642 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.643 * [backup-simplify]: Simplify (+ 1 0) into 1
0.643 * [backup-simplify]: Simplify (sqrt 1) into 1
0.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.645 * [backup-simplify]: Simplify (+ 0 0) into 0
0.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.646 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.646 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.646 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.646 * [taylor]: Taking taylor expansion of x in x
0.646 * [backup-simplify]: Simplify 0 into 0
0.646 * [backup-simplify]: Simplify 1 into 1
0.646 * [backup-simplify]: Simplify (* 1 1) into 1
0.647 * [backup-simplify]: Simplify (/ 1 1) into 1
0.647 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.647 * [taylor]: Taking taylor expansion of y in x
0.647 * [backup-simplify]: Simplify y into y
0.647 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.647 * [backup-simplify]: Simplify (+ 1 0) into 1
0.648 * [backup-simplify]: Simplify (sqrt 1) into 1
0.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.649 * [backup-simplify]: Simplify (+ 0 0) into 0
0.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.650 * [taylor]: Taking taylor expansion of 1 in y
0.650 * [backup-simplify]: Simplify 1 into 1
0.650 * [taylor]: Taking taylor expansion of 0 in y
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.652 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.652 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.654 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.654 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.654 * [taylor]: Taking taylor expansion of -1/2 in y
0.654 * [backup-simplify]: Simplify -1/2 into -1/2
0.654 * [taylor]: Taking taylor expansion of y in y
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 1 into 1
0.654 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.654 * [backup-simplify]: Simplify -1/2 into -1/2
0.654 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.657 * [backup-simplify]: Simplify (- 0) into 0
0.658 * [backup-simplify]: Simplify (+ 0 0) into 0
0.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.658 * [taylor]: Taking taylor expansion of 0 in y
0.658 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify 0 into 0
0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.662 * [backup-simplify]: Simplify (- 0) into 0
0.663 * [backup-simplify]: Simplify (+ 0 0) into 0
0.664 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.664 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.664 * [taylor]: Taking taylor expansion of -1/8 in y
0.664 * [backup-simplify]: Simplify -1/8 into -1/8
0.664 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.664 * [taylor]: Taking taylor expansion of y in y
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 1 into 1
0.665 * [backup-simplify]: Simplify (* 1 1) into 1
0.665 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.667 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.667 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* x x) y))) into (pow (+ (pow x 2) y) 1/4)
0.667 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0
0.667 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y
0.668 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y
0.668 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y
0.668 * [taylor]: Taking taylor expansion of 1/4 in y
0.668 * [backup-simplify]: Simplify 1/4 into 1/4
0.668 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y
0.668 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.668 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.668 * [taylor]: Taking taylor expansion of x in y
0.668 * [backup-simplify]: Simplify x into x
0.668 * [taylor]: Taking taylor expansion of y in y
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify 1 into 1
0.668 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.668 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.668 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
0.668 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2)))
0.669 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4)
0.669 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x
0.669 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x
0.669 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x
0.669 * [taylor]: Taking taylor expansion of 1/4 in x
0.669 * [backup-simplify]: Simplify 1/4 into 1/4
0.669 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x
0.669 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.669 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.669 * [taylor]: Taking taylor expansion of x in x
0.669 * [backup-simplify]: Simplify 0 into 0
0.669 * [backup-simplify]: Simplify 1 into 1
0.669 * [taylor]: Taking taylor expansion of y in x
0.669 * [backup-simplify]: Simplify y into y
0.669 * [backup-simplify]: Simplify (+ 0 y) into y
0.669 * [backup-simplify]: Simplify (log y) into (log y)
0.669 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y))
0.669 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4)
0.669 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x
0.669 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x
0.669 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x
0.669 * [taylor]: Taking taylor expansion of 1/4 in x
0.669 * [backup-simplify]: Simplify 1/4 into 1/4
0.670 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x
0.670 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.670 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.670 * [taylor]: Taking taylor expansion of x in x
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 1 into 1
0.670 * [taylor]: Taking taylor expansion of y in x
0.670 * [backup-simplify]: Simplify y into y
0.670 * [backup-simplify]: Simplify (+ 0 y) into y
0.670 * [backup-simplify]: Simplify (log y) into (log y)
0.670 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y))
0.670 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4)
0.670 * [taylor]: Taking taylor expansion of (pow y 1/4) in y
0.670 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y
0.670 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y
0.670 * [taylor]: Taking taylor expansion of 1/4 in y
0.670 * [backup-simplify]: Simplify 1/4 into 1/4
0.670 * [taylor]: Taking taylor expansion of (log y) in y
0.670 * [taylor]: Taking taylor expansion of y in y
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 1 into 1
0.671 * [backup-simplify]: Simplify (log 1) into 0
0.671 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y)
0.671 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y))
0.672 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4)
0.672 * [backup-simplify]: Simplify (pow y 1/4) into (pow y 1/4)
0.672 * [backup-simplify]: Simplify (+ 0 0) into 0
0.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0
0.674 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0
0.675 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
0.675 * [taylor]: Taking taylor expansion of 0 in y
0.675 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.677 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y)
0.677 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0
0.678 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
0.678 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify (* 1 1) into 1
0.679 * [backup-simplify]: Simplify (+ 1 0) into 1
0.681 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow y 1)))) 2) into (/ 1 y)
0.681 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (log y)))) into (* 1/4 (/ 1 y))
0.688 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 y)) 1) 1)))) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4))
0.688 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y
0.688 * [taylor]: Taking taylor expansion of 1/4 in y
0.688 * [backup-simplify]: Simplify 1/4 into 1/4
0.688 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y
0.688 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y
0.688 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y
0.688 * [taylor]: Taking taylor expansion of 1/4 in y
0.688 * [backup-simplify]: Simplify 1/4 into 1/4
0.688 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y
0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
0.688 * [taylor]: Taking taylor expansion of (pow y 3) in y
0.689 * [taylor]: Taking taylor expansion of y in y
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 1 into 1
0.689 * [backup-simplify]: Simplify (* 1 1) into 1
0.690 * [backup-simplify]: Simplify (* 1 1) into 1
0.690 * [backup-simplify]: Simplify (/ 1 1) into 1
0.690 * [backup-simplify]: Simplify (log 1) into 0
0.691 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y)))
0.691 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log y)))) into (* -3/4 (log y))
0.691 * [backup-simplify]: Simplify (exp (* -3/4 (log y))) into (pow y -3/4)
0.691 * [backup-simplify]: Simplify (* 1/4 (pow y -3/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4))
0.692 * [backup-simplify]: Simplify (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4))
0.692 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.696 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y)
0.696 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log y)))) into 0
0.698 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.698 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.699 * [backup-simplify]: Simplify (+ 0 0) into 0
0.702 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow y 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow y 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow y 1)))) 6) into 0
0.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (log y))))) into 0
0.705 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.706 * [taylor]: Taking taylor expansion of 0 in y
0.706 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.709 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y)))
0.710 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log y))))) into 0
0.711 * [backup-simplify]: Simplify (* (exp (* -3/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
0.711 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow y -3/4))) into 0
0.711 * [backup-simplify]: Simplify 0 into 0
0.711 * [backup-simplify]: Simplify 0 into 0
0.717 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
0.717 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y)
0.718 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log y))))) into 0
0.720 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.720 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify (+ (* (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) (pow (* 1 x) 2)) (pow y 1/4)) into (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4))
0.721 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4)
0.721 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0
0.721 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y
0.721 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y
0.722 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y
0.722 * [taylor]: Taking taylor expansion of 1/4 in y
0.722 * [backup-simplify]: Simplify 1/4 into 1/4
0.722 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.722 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.722 * [taylor]: Taking taylor expansion of x in y
0.722 * [backup-simplify]: Simplify x into x
0.722 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.722 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.722 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.722 * [taylor]: Taking taylor expansion of y in y
0.722 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify 1 into 1
0.723 * [backup-simplify]: Simplify (/ 1 1) into 1
0.723 * [backup-simplify]: Simplify (+ 0 1) into 1
0.723 * [backup-simplify]: Simplify (log 1) into 0
0.724 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
0.724 * [backup-simplify]: Simplify (* 1/4 (- (log y))) into (* -1/4 (log y))
0.724 * [backup-simplify]: Simplify (exp (* -1/4 (log y))) into (pow y -1/4)
0.724 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x
0.724 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x
0.724 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x
0.724 * [taylor]: Taking taylor expansion of 1/4 in x
0.724 * [backup-simplify]: Simplify 1/4 into 1/4
0.724 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.724 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.724 * [taylor]: Taking taylor expansion of x in x
0.724 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify 1 into 1
0.725 * [backup-simplify]: Simplify (* 1 1) into 1
0.725 * [backup-simplify]: Simplify (/ 1 1) into 1
0.725 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.725 * [taylor]: Taking taylor expansion of y in x
0.725 * [backup-simplify]: Simplify y into y
0.725 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.726 * [backup-simplify]: Simplify (+ 1 0) into 1
0.726 * [backup-simplify]: Simplify (log 1) into 0
0.727 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.727 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
0.727 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
0.727 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x
0.727 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x
0.727 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x
0.727 * [taylor]: Taking taylor expansion of 1/4 in x
0.727 * [backup-simplify]: Simplify 1/4 into 1/4
0.727 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.727 * [taylor]: Taking taylor expansion of x in x
0.727 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify 1 into 1
0.728 * [backup-simplify]: Simplify (* 1 1) into 1
0.728 * [backup-simplify]: Simplify (/ 1 1) into 1
0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.728 * [taylor]: Taking taylor expansion of y in x
0.728 * [backup-simplify]: Simplify y into y
0.728 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.729 * [backup-simplify]: Simplify (+ 1 0) into 1
0.729 * [backup-simplify]: Simplify (log 1) into 0
0.729 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.730 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
0.730 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
0.730 * [taylor]: Taking taylor expansion of (pow x -1/2) in y
0.730 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y
0.730 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y
0.730 * [taylor]: Taking taylor expansion of -1/2 in y
0.730 * [backup-simplify]: Simplify -1/2 into -1/2
0.730 * [taylor]: Taking taylor expansion of (log x) in y
0.730 * [taylor]: Taking taylor expansion of x in y
0.730 * [backup-simplify]: Simplify x into x
0.730 * [backup-simplify]: Simplify (log x) into (log x)
0.730 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
0.730 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
0.730 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2)
0.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.732 * [backup-simplify]: Simplify (+ 0 0) into 0
0.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.734 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.735 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
0.736 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
0.736 * [taylor]: Taking taylor expansion of 0 in y
0.736 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify 0 into 0
0.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
0.737 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
0.738 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
0.738 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.740 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.741 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 y)) 1)) (pow 1 1)))) 2) into (/ 1 y)
0.742 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.742 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 y))
0.742 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 y)) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y)))
0.743 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y
0.743 * [taylor]: Taking taylor expansion of 1/4 in y
0.743 * [backup-simplify]: Simplify 1/4 into 1/4
0.743 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y
0.743 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.743 * [taylor]: Taking taylor expansion of x in y
0.743 * [backup-simplify]: Simplify x into x
0.743 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.743 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
0.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
0.743 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.743 * [taylor]: Taking taylor expansion of y in y
0.743 * [backup-simplify]: Simplify 0 into 0
0.743 * [backup-simplify]: Simplify 1 into 1
0.743 * [backup-simplify]: Simplify (/ 1 1) into 1
0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.744 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0
0.744 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x))
0.744 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (sqrt (/ 1 x)))) into 0
0.744 * [backup-simplify]: Simplify 0 into 0
0.744 * [backup-simplify]: Simplify 0 into 0
0.745 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
0.746 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0
0.747 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.747 * [backup-simplify]: Simplify 0 into 0
0.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.748 * [backup-simplify]: Simplify (+ 0 0) into 0
0.750 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 y)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
0.751 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.751 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
0.753 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.753 * [taylor]: Taking taylor expansion of 0 in y
0.753 * [backup-simplify]: Simplify 0 into 0
0.753 * [backup-simplify]: Simplify 0 into 0
0.753 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2)
0.753 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4)
0.753 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0
0.753 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y
0.753 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y
0.753 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y
0.753 * [taylor]: Taking taylor expansion of 1/4 in y
0.753 * [backup-simplify]: Simplify 1/4 into 1/4
0.753 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.753 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.753 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.753 * [taylor]: Taking taylor expansion of x in y
0.753 * [backup-simplify]: Simplify x into x
0.753 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.753 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.753 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.753 * [taylor]: Taking taylor expansion of y in y
0.753 * [backup-simplify]: Simplify 0 into 0
0.753 * [backup-simplify]: Simplify 1 into 1
0.754 * [backup-simplify]: Simplify (/ 1 1) into 1
0.754 * [backup-simplify]: Simplify (- 1) into -1
0.754 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.754 * [backup-simplify]: Simplify (log -1) into (log -1)
0.755 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y))
0.755 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log y))) into (* 1/4 (- (log -1) (log y)))
0.755 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log y)))) into (exp (* 1/4 (- (log -1) (log y))))
0.755 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x
0.755 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x
0.756 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x
0.756 * [taylor]: Taking taylor expansion of 1/4 in x
0.756 * [backup-simplify]: Simplify 1/4 into 1/4
0.756 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.756 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.756 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.756 * [taylor]: Taking taylor expansion of x in x
0.756 * [backup-simplify]: Simplify 0 into 0
0.756 * [backup-simplify]: Simplify 1 into 1
0.756 * [backup-simplify]: Simplify (* 1 1) into 1
0.756 * [backup-simplify]: Simplify (/ 1 1) into 1
0.756 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.756 * [taylor]: Taking taylor expansion of y in x
0.756 * [backup-simplify]: Simplify y into y
0.756 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.756 * [backup-simplify]: Simplify (+ 1 0) into 1
0.757 * [backup-simplify]: Simplify (log 1) into 0
0.757 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.757 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
0.757 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
0.757 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x
0.757 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x
0.757 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x
0.757 * [taylor]: Taking taylor expansion of 1/4 in x
0.757 * [backup-simplify]: Simplify 1/4 into 1/4
0.757 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.757 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.757 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.757 * [taylor]: Taking taylor expansion of x in x
0.757 * [backup-simplify]: Simplify 0 into 0
0.757 * [backup-simplify]: Simplify 1 into 1
0.758 * [backup-simplify]: Simplify (* 1 1) into 1
0.758 * [backup-simplify]: Simplify (/ 1 1) into 1
0.758 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.758 * [taylor]: Taking taylor expansion of y in x
0.758 * [backup-simplify]: Simplify y into y
0.758 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.758 * [backup-simplify]: Simplify (+ 1 0) into 1
0.758 * [backup-simplify]: Simplify (log 1) into 0
0.759 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.759 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
0.759 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
0.759 * [taylor]: Taking taylor expansion of (pow x -1/2) in y
0.759 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y
0.759 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y
0.759 * [taylor]: Taking taylor expansion of -1/2 in y
0.759 * [backup-simplify]: Simplify -1/2 into -1/2
0.759 * [taylor]: Taking taylor expansion of (log x) in y
0.759 * [taylor]: Taking taylor expansion of x in y
0.759 * [backup-simplify]: Simplify x into x
0.759 * [backup-simplify]: Simplify (log x) into (log x)
0.759 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
0.759 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
0.759 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2)
0.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.760 * [backup-simplify]: Simplify (+ 0 0) into 0
0.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.761 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.762 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
0.762 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
0.762 * [taylor]: Taking taylor expansion of 0 in y
0.762 * [backup-simplify]: Simplify 0 into 0
0.762 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
0.763 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
0.764 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
0.764 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.765 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.765 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.767 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 y))) 1)) (pow 1 1)))) 2) into (/ -1 y)
0.767 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.768 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (- (* 1/4 (/ 1 y)))
0.769 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 y))) 1) 1)))) into (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y)))
0.769 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y
0.769 * [taylor]: Taking taylor expansion of -1/4 in y
0.769 * [backup-simplify]: Simplify -1/4 into -1/4
0.769 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y
0.769 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
0.769 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.769 * [taylor]: Taking taylor expansion of x in y
0.769 * [backup-simplify]: Simplify x into x
0.769 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.769 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
0.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
0.769 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.769 * [taylor]: Taking taylor expansion of y in y
0.769 * [backup-simplify]: Simplify 0 into 0
0.769 * [backup-simplify]: Simplify 1 into 1
0.770 * [backup-simplify]: Simplify (/ 1 1) into 1
0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.771 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0
0.771 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x))
0.772 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (sqrt (/ 1 x)))) into 0
0.772 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
0.774 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0
0.776 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.776 * [backup-simplify]: Simplify 0 into 0
0.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.778 * [backup-simplify]: Simplify (- 0) into 0
0.779 * [backup-simplify]: Simplify (+ 0 0) into 0
0.782 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (/ 1 y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
0.783 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.784 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
0.786 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/4 (/ 1 y))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.786 * [taylor]: Taking taylor expansion of 0 in y
0.786 * [backup-simplify]: Simplify 0 into 0
0.786 * [backup-simplify]: Simplify 0 into 0
0.786 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/2) into (pow (/ -1 x) -1/2)
0.786 * * * [progress]: simplifying candidates
0.790 * [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)))
  (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)))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (+ (* x x) y) (+ (* x x) y))
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (* (+ (* x x) y) (+ (* x x) y))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y)))))
  (log (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
  (exp (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
  (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))))
  (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
  (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (sqrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
  (sqrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))))
  (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* x x) y))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))))
  (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y))))
  (* (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))))
  (* (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (cbrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* x x) y))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt 1))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (+ (* x x) y))) 1)
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (+ (* x x) y))))
  (log (sqrt (sqrt (+ (* x x) y))))
  (exp (sqrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (cbrt (sqrt (sqrt (+ (* x x) y))))
  (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
  (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (sqrt (cbrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))
  (sqrt (sqrt (cbrt (+ (* x x) y))))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt 1))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt 1)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))
  (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))
  (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))
  (sqrt (sqrt (- (* x x) y)))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt (sqrt (+ (* 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))))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4))
  (pow (/ 1 x) -1/2)
  (pow (/ -1 x) -1/2)
0.792 * [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)))
 (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)))
 (+ 1/2 1/2)
 (+ 1/2 (/ 1 2))
 (+ 1 1)
 (+ (/ 1/2 2) (/ 1/2 2))
 (+ (/ 1/2 2) (/ (/ 1 2) 2))
 (+ (/ 1 2) 1/2)
 (+ (/ 1 2) (/ 1 2))
 (+ (/ (/ 1 2) 2) (/ 1/2 2))
 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
 (* (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0)))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (+ (* h1 h1) h0) (+ (* h1 h1) h0))
 (* (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0)))
 (* (+ (* h1 h1) h0) (+ (* h1 h1) h0))
 (+ 1 1)
 (+ (log (sqrt (sqrt (+ (* h1 h1) h0)))) (log (sqrt (sqrt (+ (* h1 h1) h0)))))
 (log (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0)))))
 (exp (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (* (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (+ (* h1 h1) h0)))) (* (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (cbrt (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))))) (cbrt (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))))))
 (cbrt (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (* (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0)))) (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))))) (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0)))
 (sqrt (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0)))))
 (sqrt (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow h0 3)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow h0 3)))))
 (* (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0))))) (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0))))))
 (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow h0 3)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0))))) (sqrt (sqrt (- (* h1 h1) h0))))
 (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow h0 3)))))
 (* (sqrt (sqrt (- (* h1 h1) h0))) (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0))))))
 (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0)))))
 (* (sqrt (sqrt (- (* h1 h1) h0))) (sqrt (sqrt (- (* h1 h1) h0))))
 (* (* (cbrt (sqrt (sqrt (+ (* h1 h1) h0)))) (cbrt (sqrt (sqrt (+ (* h1 h1) h0))))) (* (cbrt (sqrt (sqrt (+ (* h1 h1) h0)))) (cbrt (sqrt (sqrt (+ (* h1 h1) h0))))))
 (* (cbrt (sqrt (sqrt (+ (* h1 h1) h0)))) (cbrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (* (cbrt (sqrt (+ (* h1 h1) h0))) (cbrt (sqrt (+ (* h1 h1) h0))))) (sqrt (* (cbrt (sqrt (+ (* h1 h1) h0))) (cbrt (sqrt (+ (* h1 h1) h0))))))
 (* (sqrt (cbrt (sqrt (+ (* h1 h1) h0)))) (sqrt (cbrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0))))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0))))))
 (* (sqrt (sqrt (cbrt (+ (* h1 h1) h0)))) (sqrt (sqrt (cbrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* 1 1)
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1/2 2))
 (* 2 (/ 1 2))
 (* 2 (/ (/ 1 2) 2))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (* (cbrt (sqrt (sqrt (+ (* h1 h1) h0)))) (cbrt (sqrt (sqrt (+ (* h1 h1) h0))))))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (* (cbrt (sqrt (+ (* h1 h1) h0))) (cbrt (sqrt (+ (* h1 h1) h0))))))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0))))))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt 1))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) 1)
 (* (cbrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (cbrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (sqrt (cbrt (+ (* h1 h1) h0)))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow h0 3)))))
 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0)))))
 (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow h0 3)))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (log (sqrt (sqrt (+ (* h1 h1) h0))))
 (exp (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (cbrt (sqrt (sqrt (+ (* h1 h1) h0)))) (cbrt (sqrt (sqrt (+ (* h1 h1) h0)))))
 (cbrt (sqrt (sqrt (+ (* h1 h1) h0))))
 (* (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0)))) (sqrt (sqrt (+ (* h1 h1) h0))))
 (sqrt (* (cbrt (sqrt (+ (* h1 h1) h0))) (cbrt (sqrt (+ (* h1 h1) h0)))))
 (sqrt (cbrt (sqrt (+ (* h1 h1) h0))))
 (sqrt (sqrt (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0)))))
 (sqrt (sqrt (cbrt (+ (* h1 h1) h0))))
 (sqrt (sqrt (sqrt (+ (* h1 h1) h0))))
 (sqrt (sqrt (sqrt (+ (* h1 h1) h0))))
 (sqrt (sqrt 1))
 (sqrt (sqrt (+ (* h1 h1) h0)))
 (sqrt (sqrt (sqrt (+ (* h1 h1) h0))))
 (sqrt (sqrt (sqrt (+ (* h1 h1) h0))))
 (sqrt 1)
 (sqrt (sqrt (+ (* h1 h1) h0)))
 (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow h0 3))))
 (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0)))))
 (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0))))
 (sqrt (sqrt (- (* h1 h1) h0)))
 (/ 1/2 2)
 (/ 1 2)
 (/ (/ 1 2) 2)
 (sqrt (sqrt (sqrt (+ (* h1 h1) h0))))
 (sqrt (sqrt (sqrt (+ (* h1 h1) h0))))
 (- (+ (* h2 (pow h1 2)) (- (+ (* h2 (pow h0 2)) (- (* h2 h0))))))
 (+ h1 (* 1/2 (/ h0 h1)))
 (- (+ h1 (* 1/2 (/ h0 h1))))
 (- (+ (* h2 (pow h1 2)) (- (+ (* h2 (pow h0 2)) (- (* h2 h0))))))
 (+ h1 (* 1/2 (/ h0 h1)))
 (- (+ h1 (* 1/2 (/ h0 h1))))
 (- (+ (* h2 (pow h1 2)) (- (+ (* h2 (pow h0 2)) (- (* h2 h0))))))
 (+ h1 (* 1/2 (/ h0 h1)))
 (- (+ h1 (* 1/2 (/ h0 h1))))
 (+ (* 1/4 (* (pow h1 2) (pow (/ 1 (pow h0 3)) 1/4))) (pow h0 1/4))
 (pow (/ 1 h1) -1/2)
 (pow (/ -1 h1) -1/2)
0.897 * * * [progress]: adding candidates to table
1.342 * * [progress]: iteration 3 / 4
1.342 * * * [progress]: picking best candidate
1.347 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
1.347 * * * [progress]: localizing error
1.357 * * * [progress]: generating rewritten candidates
1.357 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
1.363 * * * [progress]: generating series expansions
1.363 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
1.364 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x)))
1.364 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
1.364 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
1.364 * [taylor]: Taking taylor expansion of x in y
1.364 * [backup-simplify]: Simplify x into x
1.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
1.364 * [taylor]: Taking taylor expansion of 1/2 in y
1.364 * [backup-simplify]: Simplify 1/2 into 1/2
1.364 * [taylor]: Taking taylor expansion of (/ y x) in y
1.364 * [taylor]: Taking taylor expansion of y in y
1.364 * [backup-simplify]: Simplify 0 into 0
1.364 * [backup-simplify]: Simplify 1 into 1
1.364 * [taylor]: Taking taylor expansion of x in y
1.364 * [backup-simplify]: Simplify x into x
1.364 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.364 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
1.364 * [taylor]: Taking taylor expansion of x in x
1.364 * [backup-simplify]: Simplify 0 into 0
1.364 * [backup-simplify]: Simplify 1 into 1
1.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
1.364 * [taylor]: Taking taylor expansion of 1/2 in x
1.364 * [backup-simplify]: Simplify 1/2 into 1/2
1.364 * [taylor]: Taking taylor expansion of (/ y x) in x
1.364 * [taylor]: Taking taylor expansion of y in x
1.365 * [backup-simplify]: Simplify y into y
1.365 * [taylor]: Taking taylor expansion of x in x
1.365 * [backup-simplify]: Simplify 0 into 0
1.365 * [backup-simplify]: Simplify 1 into 1
1.365 * [backup-simplify]: Simplify (/ y 1) into y
1.365 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
1.365 * [taylor]: Taking taylor expansion of x in x
1.365 * [backup-simplify]: Simplify 0 into 0
1.365 * [backup-simplify]: Simplify 1 into 1
1.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
1.365 * [taylor]: Taking taylor expansion of 1/2 in x
1.365 * [backup-simplify]: Simplify 1/2 into 1/2
1.365 * [taylor]: Taking taylor expansion of (/ y x) in x
1.365 * [taylor]: Taking taylor expansion of y in x
1.365 * [backup-simplify]: Simplify y into y
1.365 * [taylor]: Taking taylor expansion of x in x
1.365 * [backup-simplify]: Simplify 0 into 0
1.365 * [backup-simplify]: Simplify 1 into 1
1.365 * [backup-simplify]: Simplify (/ y 1) into y
1.365 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
1.365 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y)
1.365 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
1.365 * [taylor]: Taking taylor expansion of 1/2 in y
1.365 * [backup-simplify]: Simplify 1/2 into 1/2
1.365 * [taylor]: Taking taylor expansion of y in y
1.365 * [backup-simplify]: Simplify 0 into 0
1.365 * [backup-simplify]: Simplify 1 into 1
1.366 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.366 * [backup-simplify]: Simplify 0 into 0
1.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
1.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
1.367 * [backup-simplify]: Simplify (+ 0 0) into 0
1.367 * [taylor]: Taking taylor expansion of 0 in y
1.367 * [backup-simplify]: Simplify 0 into 0
1.367 * [backup-simplify]: Simplify 0 into 0
1.367 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.367 * [backup-simplify]: Simplify 1/2 into 1/2
1.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
1.369 * [backup-simplify]: Simplify (+ 1 0) into 1
1.369 * [taylor]: Taking taylor expansion of 1 in y
1.369 * [backup-simplify]: Simplify 1 into 1
1.369 * [backup-simplify]: Simplify 1 into 1
1.369 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.370 * [backup-simplify]: Simplify 0 into 0
1.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.372 * [backup-simplify]: Simplify (+ 0 0) into 0
1.372 * [taylor]: Taking taylor expansion of 0 in y
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x)))
1.373 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x))
1.373 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
1.373 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
1.373 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
1.373 * [taylor]: Taking taylor expansion of 1/2 in y
1.373 * [backup-simplify]: Simplify 1/2 into 1/2
1.373 * [taylor]: Taking taylor expansion of (/ x y) in y
1.373 * [taylor]: Taking taylor expansion of x in y
1.373 * [backup-simplify]: Simplify x into x
1.373 * [taylor]: Taking taylor expansion of y in y
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.373 * [backup-simplify]: Simplify (/ x 1) into x
1.373 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.373 * [taylor]: Taking taylor expansion of x in y
1.373 * [backup-simplify]: Simplify x into x
1.373 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.373 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
1.373 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.373 * [taylor]: Taking taylor expansion of 1/2 in x
1.373 * [backup-simplify]: Simplify 1/2 into 1/2
1.373 * [taylor]: Taking taylor expansion of (/ x y) in x
1.373 * [taylor]: Taking taylor expansion of x in x
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.373 * [taylor]: Taking taylor expansion of y in x
1.373 * [backup-simplify]: Simplify y into y
1.373 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.373 * [taylor]: Taking taylor expansion of x in x
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.374 * [backup-simplify]: Simplify (/ 1 1) into 1
1.374 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
1.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.374 * [taylor]: Taking taylor expansion of 1/2 in x
1.374 * [backup-simplify]: Simplify 1/2 into 1/2
1.374 * [taylor]: Taking taylor expansion of (/ x y) in x
1.374 * [taylor]: Taking taylor expansion of x in x
1.374 * [backup-simplify]: Simplify 0 into 0
1.374 * [backup-simplify]: Simplify 1 into 1
1.374 * [taylor]: Taking taylor expansion of y in x
1.374 * [backup-simplify]: Simplify y into y
1.374 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.374 * [taylor]: Taking taylor expansion of x in x
1.374 * [backup-simplify]: Simplify 0 into 0
1.374 * [backup-simplify]: Simplify 1 into 1
1.374 * [backup-simplify]: Simplify (/ 1 1) into 1
1.375 * [backup-simplify]: Simplify (+ 0 1) into 1
1.375 * [taylor]: Taking taylor expansion of 1 in y
1.375 * [backup-simplify]: Simplify 1 into 1
1.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.375 * [backup-simplify]: Simplify (+ 0 0) into 0
1.375 * [taylor]: Taking taylor expansion of 0 in y
1.375 * [backup-simplify]: Simplify 0 into 0
1.375 * [backup-simplify]: Simplify 1 into 1
1.375 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
1.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.376 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
1.376 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
1.376 * [taylor]: Taking taylor expansion of 1/2 in y
1.376 * [backup-simplify]: Simplify 1/2 into 1/2
1.376 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.376 * [taylor]: Taking taylor expansion of y in y
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [backup-simplify]: Simplify 1 into 1
1.376 * [backup-simplify]: Simplify (/ 1 1) into 1
1.377 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.377 * [backup-simplify]: Simplify 1/2 into 1/2
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
1.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
1.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.378 * [backup-simplify]: Simplify (+ 0 0) into 0
1.378 * [taylor]: Taking taylor expansion of 0 in y
1.378 * [backup-simplify]: Simplify 0 into 0
1.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.379 * [backup-simplify]: Simplify 0 into 0
1.379 * [backup-simplify]: Simplify 0 into 0
1.379 * [backup-simplify]: Simplify 0 into 0
1.379 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.381 * [backup-simplify]: Simplify (+ 0 0) into 0
1.381 * [taylor]: Taking taylor expansion of 0 in y
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
1.381 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x))
1.381 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
1.381 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
1.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
1.381 * [taylor]: Taking taylor expansion of 1/2 in y
1.381 * [backup-simplify]: Simplify 1/2 into 1/2
1.381 * [taylor]: Taking taylor expansion of (/ x y) in y
1.381 * [taylor]: Taking taylor expansion of x in y
1.382 * [backup-simplify]: Simplify x into x
1.382 * [taylor]: Taking taylor expansion of y in y
1.382 * [backup-simplify]: Simplify 0 into 0
1.382 * [backup-simplify]: Simplify 1 into 1
1.382 * [backup-simplify]: Simplify (/ x 1) into x
1.382 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.382 * [taylor]: Taking taylor expansion of x in y
1.382 * [backup-simplify]: Simplify x into x
1.382 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.382 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
1.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.382 * [taylor]: Taking taylor expansion of 1/2 in x
1.382 * [backup-simplify]: Simplify 1/2 into 1/2
1.382 * [taylor]: Taking taylor expansion of (/ x y) in x
1.382 * [taylor]: Taking taylor expansion of x in x
1.382 * [backup-simplify]: Simplify 0 into 0
1.382 * [backup-simplify]: Simplify 1 into 1
1.382 * [taylor]: Taking taylor expansion of y in x
1.382 * [backup-simplify]: Simplify y into y
1.382 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.382 * [taylor]: Taking taylor expansion of x in x
1.382 * [backup-simplify]: Simplify 0 into 0
1.382 * [backup-simplify]: Simplify 1 into 1
1.383 * [backup-simplify]: Simplify (/ 1 1) into 1
1.383 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
1.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.383 * [taylor]: Taking taylor expansion of 1/2 in x
1.383 * [backup-simplify]: Simplify 1/2 into 1/2
1.383 * [taylor]: Taking taylor expansion of (/ x y) in x
1.383 * [taylor]: Taking taylor expansion of x in x
1.383 * [backup-simplify]: Simplify 0 into 0
1.383 * [backup-simplify]: Simplify 1 into 1
1.383 * [taylor]: Taking taylor expansion of y in x
1.383 * [backup-simplify]: Simplify y into y
1.383 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.383 * [taylor]: Taking taylor expansion of x in x
1.383 * [backup-simplify]: Simplify 0 into 0
1.383 * [backup-simplify]: Simplify 1 into 1
1.383 * [backup-simplify]: Simplify (/ 1 1) into 1
1.384 * [backup-simplify]: Simplify (- 1) into -1
1.384 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.384 * [taylor]: Taking taylor expansion of -1 in y
1.384 * [backup-simplify]: Simplify -1 into -1
1.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.386 * [backup-simplify]: Simplify (- 0) into 0
1.386 * [backup-simplify]: Simplify (+ 0 0) into 0
1.386 * [taylor]: Taking taylor expansion of 0 in y
1.386 * [backup-simplify]: Simplify 0 into 0
1.386 * [backup-simplify]: Simplify -1 into -1
1.386 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.387 * [backup-simplify]: Simplify (- 0) into 0
1.388 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
1.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
1.388 * [taylor]: Taking taylor expansion of 1/2 in y
1.388 * [backup-simplify]: Simplify 1/2 into 1/2
1.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.388 * [taylor]: Taking taylor expansion of y in y
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 1 into 1
1.388 * [backup-simplify]: Simplify (/ 1 1) into 1
1.388 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.389 * [backup-simplify]: Simplify 1/2 into 1/2
1.389 * [backup-simplify]: Simplify 0 into 0
1.389 * [backup-simplify]: Simplify 0 into 0
1.389 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
1.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
1.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.391 * [backup-simplify]: Simplify (- 0) into 0
1.391 * [backup-simplify]: Simplify (+ 0 0) into 0
1.391 * [taylor]: Taking taylor expansion of 0 in y
1.391 * [backup-simplify]: Simplify 0 into 0
1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.393 * [backup-simplify]: Simplify 0 into 0
1.393 * [backup-simplify]: Simplify 0 into 0
1.393 * [backup-simplify]: Simplify 0 into 0
1.393 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.395 * [backup-simplify]: Simplify (- 0) into 0
1.395 * [backup-simplify]: Simplify (+ 0 0) into 0
1.395 * [taylor]: Taking taylor expansion of 0 in y
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [backup-simplify]: Simplify 0 into 0
1.396 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x)))
1.396 * * * [progress]: simplifying candidates
1.396 * [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)))
1.397 * [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)))
1.557 * * * [progress]: adding candidates to table
1.608 * * [progress]: iteration 4 / 4
1.608 * * * [progress]: picking best candidate
1.611 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
1.611 * * * [progress]: localizing error
1.617 * * * [progress]: generating rewritten candidates
1.617 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
1.624 * * * [progress]: generating series expansions
1.624 * * * * [progress]: [ 1 / 1 ] generating series at (2)
1.624 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x)))
1.624 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
1.624 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
1.624 * [taylor]: Taking taylor expansion of x in y
1.624 * [backup-simplify]: Simplify x into x
1.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
1.624 * [taylor]: Taking taylor expansion of 1/2 in y
1.624 * [backup-simplify]: Simplify 1/2 into 1/2
1.624 * [taylor]: Taking taylor expansion of (/ y x) in y
1.624 * [taylor]: Taking taylor expansion of y in y
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 1 into 1
1.625 * [taylor]: Taking taylor expansion of x in y
1.625 * [backup-simplify]: Simplify x into x
1.625 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.625 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
1.625 * [taylor]: Taking taylor expansion of x in x
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 1 into 1
1.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
1.625 * [taylor]: Taking taylor expansion of 1/2 in x
1.625 * [backup-simplify]: Simplify 1/2 into 1/2
1.625 * [taylor]: Taking taylor expansion of (/ y x) in x
1.625 * [taylor]: Taking taylor expansion of y in x
1.625 * [backup-simplify]: Simplify y into y
1.625 * [taylor]: Taking taylor expansion of x in x
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 1 into 1
1.625 * [backup-simplify]: Simplify (/ y 1) into y
1.625 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
1.625 * [taylor]: Taking taylor expansion of x in x
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 1 into 1
1.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
1.625 * [taylor]: Taking taylor expansion of 1/2 in x
1.625 * [backup-simplify]: Simplify 1/2 into 1/2
1.625 * [taylor]: Taking taylor expansion of (/ y x) in x
1.625 * [taylor]: Taking taylor expansion of y in x
1.625 * [backup-simplify]: Simplify y into y
1.625 * [taylor]: Taking taylor expansion of x in x
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 1 into 1
1.625 * [backup-simplify]: Simplify (/ y 1) into y
1.625 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
1.625 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y)
1.625 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
1.625 * [taylor]: Taking taylor expansion of 1/2 in y
1.625 * [backup-simplify]: Simplify 1/2 into 1/2
1.625 * [taylor]: Taking taylor expansion of y in y
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 1 into 1
1.626 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.626 * [backup-simplify]: Simplify 0 into 0
1.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
1.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
1.627 * [backup-simplify]: Simplify (+ 0 0) into 0
1.627 * [taylor]: Taking taylor expansion of 0 in y
1.627 * [backup-simplify]: Simplify 0 into 0
1.627 * [backup-simplify]: Simplify 0 into 0
1.627 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.627 * [backup-simplify]: Simplify 1/2 into 1/2
1.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
1.629 * [backup-simplify]: Simplify (+ 1 0) into 1
1.629 * [taylor]: Taking taylor expansion of 1 in y
1.629 * [backup-simplify]: Simplify 1 into 1
1.629 * [backup-simplify]: Simplify 1 into 1
1.629 * [backup-simplify]: Simplify 0 into 0
1.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.630 * [backup-simplify]: Simplify 0 into 0
1.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.632 * [backup-simplify]: Simplify (+ 0 0) into 0
1.632 * [taylor]: Taking taylor expansion of 0 in y
1.632 * [backup-simplify]: Simplify 0 into 0
1.632 * [backup-simplify]: Simplify 0 into 0
1.632 * [backup-simplify]: Simplify 0 into 0
1.632 * [backup-simplify]: Simplify 0 into 0
1.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.633 * [backup-simplify]: Simplify 0 into 0
1.633 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x)))
1.633 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x))
1.633 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
1.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
1.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
1.633 * [taylor]: Taking taylor expansion of 1/2 in y
1.633 * [backup-simplify]: Simplify 1/2 into 1/2
1.633 * [taylor]: Taking taylor expansion of (/ x y) in y
1.633 * [taylor]: Taking taylor expansion of x in y
1.633 * [backup-simplify]: Simplify x into x
1.633 * [taylor]: Taking taylor expansion of y in y
1.633 * [backup-simplify]: Simplify 0 into 0
1.633 * [backup-simplify]: Simplify 1 into 1
1.633 * [backup-simplify]: Simplify (/ x 1) into x
1.633 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.633 * [taylor]: Taking taylor expansion of x in y
1.633 * [backup-simplify]: Simplify x into x
1.633 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
1.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.633 * [taylor]: Taking taylor expansion of 1/2 in x
1.633 * [backup-simplify]: Simplify 1/2 into 1/2
1.633 * [taylor]: Taking taylor expansion of (/ x y) in x
1.633 * [taylor]: Taking taylor expansion of x in x
1.633 * [backup-simplify]: Simplify 0 into 0
1.633 * [backup-simplify]: Simplify 1 into 1
1.633 * [taylor]: Taking taylor expansion of y in x
1.633 * [backup-simplify]: Simplify y into y
1.633 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.633 * [taylor]: Taking taylor expansion of x in x
1.633 * [backup-simplify]: Simplify 0 into 0
1.633 * [backup-simplify]: Simplify 1 into 1
1.634 * [backup-simplify]: Simplify (/ 1 1) into 1
1.634 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
1.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.634 * [taylor]: Taking taylor expansion of 1/2 in x
1.634 * [backup-simplify]: Simplify 1/2 into 1/2
1.634 * [taylor]: Taking taylor expansion of (/ x y) in x
1.634 * [taylor]: Taking taylor expansion of x in x
1.634 * [backup-simplify]: Simplify 0 into 0
1.634 * [backup-simplify]: Simplify 1 into 1
1.634 * [taylor]: Taking taylor expansion of y in x
1.634 * [backup-simplify]: Simplify y into y
1.634 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.634 * [taylor]: Taking taylor expansion of x in x
1.634 * [backup-simplify]: Simplify 0 into 0
1.634 * [backup-simplify]: Simplify 1 into 1
1.634 * [backup-simplify]: Simplify (/ 1 1) into 1
1.634 * [backup-simplify]: Simplify (+ 0 1) into 1
1.635 * [taylor]: Taking taylor expansion of 1 in y
1.635 * [backup-simplify]: Simplify 1 into 1
1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.635 * [backup-simplify]: Simplify (+ 0 0) into 0
1.635 * [taylor]: Taking taylor expansion of 0 in y
1.635 * [backup-simplify]: Simplify 0 into 0
1.635 * [backup-simplify]: Simplify 1 into 1
1.635 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.636 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
1.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
1.636 * [taylor]: Taking taylor expansion of 1/2 in y
1.636 * [backup-simplify]: Simplify 1/2 into 1/2
1.636 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.636 * [taylor]: Taking taylor expansion of y in y
1.636 * [backup-simplify]: Simplify 0 into 0
1.636 * [backup-simplify]: Simplify 1 into 1
1.636 * [backup-simplify]: Simplify (/ 1 1) into 1
1.637 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.637 * [backup-simplify]: Simplify 1/2 into 1/2
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
1.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.638 * [backup-simplify]: Simplify (+ 0 0) into 0
1.638 * [taylor]: Taking taylor expansion of 0 in y
1.638 * [backup-simplify]: Simplify 0 into 0
1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.639 * [backup-simplify]: Simplify 0 into 0
1.639 * [backup-simplify]: Simplify 0 into 0
1.639 * [backup-simplify]: Simplify 0 into 0
1.639 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.640 * [backup-simplify]: Simplify (+ 0 0) into 0
1.640 * [taylor]: Taking taylor expansion of 0 in y
1.640 * [backup-simplify]: Simplify 0 into 0
1.640 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
1.641 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x))
1.641 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
1.641 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
1.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
1.641 * [taylor]: Taking taylor expansion of 1/2 in y
1.641 * [backup-simplify]: Simplify 1/2 into 1/2
1.641 * [taylor]: Taking taylor expansion of (/ x y) in y
1.641 * [taylor]: Taking taylor expansion of x in y
1.641 * [backup-simplify]: Simplify x into x
1.641 * [taylor]: Taking taylor expansion of y in y
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify 1 into 1
1.641 * [backup-simplify]: Simplify (/ x 1) into x
1.641 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.641 * [taylor]: Taking taylor expansion of x in y
1.641 * [backup-simplify]: Simplify x into x
1.641 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.642 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
1.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.642 * [taylor]: Taking taylor expansion of 1/2 in x
1.642 * [backup-simplify]: Simplify 1/2 into 1/2
1.642 * [taylor]: Taking taylor expansion of (/ x y) in x
1.642 * [taylor]: Taking taylor expansion of x in x
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 1 into 1
1.642 * [taylor]: Taking taylor expansion of y in x
1.642 * [backup-simplify]: Simplify y into y
1.642 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.642 * [taylor]: Taking taylor expansion of x in x
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 1 into 1
1.642 * [backup-simplify]: Simplify (/ 1 1) into 1
1.642 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
1.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
1.643 * [taylor]: Taking taylor expansion of 1/2 in x
1.643 * [backup-simplify]: Simplify 1/2 into 1/2
1.643 * [taylor]: Taking taylor expansion of (/ x y) in x
1.643 * [taylor]: Taking taylor expansion of x in x
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of y in x
1.643 * [backup-simplify]: Simplify y into y
1.643 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.643 * [taylor]: Taking taylor expansion of x in x
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [backup-simplify]: Simplify (/ 1 1) into 1
1.644 * [backup-simplify]: Simplify (- 1) into -1
1.644 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.644 * [taylor]: Taking taylor expansion of -1 in y
1.644 * [backup-simplify]: Simplify -1 into -1
1.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.645 * [backup-simplify]: Simplify (- 0) into 0
1.646 * [backup-simplify]: Simplify (+ 0 0) into 0
1.646 * [taylor]: Taking taylor expansion of 0 in y
1.646 * [backup-simplify]: Simplify 0 into 0
1.646 * [backup-simplify]: Simplify -1 into -1
1.646 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.647 * [backup-simplify]: Simplify (- 0) into 0
1.648 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
1.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
1.648 * [taylor]: Taking taylor expansion of 1/2 in y
1.648 * [backup-simplify]: Simplify 1/2 into 1/2
1.648 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.648 * [taylor]: Taking taylor expansion of y in y
1.648 * [backup-simplify]: Simplify 0 into 0
1.648 * [backup-simplify]: Simplify 1 into 1
1.648 * [backup-simplify]: Simplify (/ 1 1) into 1
1.649 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.649 * [backup-simplify]: Simplify 1/2 into 1/2
1.649 * [backup-simplify]: Simplify 0 into 0
1.649 * [backup-simplify]: Simplify 0 into 0
1.649 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
1.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.651 * [backup-simplify]: Simplify (- 0) into 0
1.651 * [backup-simplify]: Simplify (+ 0 0) into 0
1.651 * [taylor]: Taking taylor expansion of 0 in y
1.651 * [backup-simplify]: Simplify 0 into 0
1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.654 * [backup-simplify]: Simplify (- 0) into 0
1.655 * [backup-simplify]: Simplify (+ 0 0) into 0
1.655 * [taylor]: Taking taylor expansion of 0 in y
1.655 * [backup-simplify]: Simplify 0 into 0
1.655 * [backup-simplify]: Simplify 0 into 0
1.655 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x)))
1.655 * * * [progress]: simplifying candidates
1.655 * [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)))
1.655 * [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)))
1.772 * * * [progress]: adding candidates to table
1.794 * [progress]: [Phase 3 of 3] Extracting.
1.795 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.795 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
1.795 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.818 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.829 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.871 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.894 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.943 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.967 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.002 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.030 * * * [regime]: Found split indices: #<option (#s(si 0 48) #s(si 3 209) #s(si 2 255))>
2.030 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.100 * [regimes]: Found splitpoints: (#s(sp 0 x -1.3380693203107401e+154) #s(sp 3 x 6.747088751163898e+113) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.101 * [simplify]: Simplifying:
  (if (<= x -1.3380693203107401e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 6.747088751163898e+113) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
2.101 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 h3) (- (+ h0 (* 1/2 (/ h1 h0)))) (if (<= h0 h2) (sqrt (+ (* h0 h0) h1)) (+ h0 (* 1/2 (/ h1 h0)))))
3.116 * [regime-testing]: Baseline error score: 21.829603700462556
3.118 * [regime-testing]: Oracle error score: 0.0010001250156269534
3.124 * [regime-testing]: End program error score: 0.10033173123016054
3.167 * [regime-testing]: Target error score: 0.4582179358609613