13.798 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.016 * * * [progress]: [2/2] Setting up program.
0.017 * [progress]: [Phase 2 of 3] Improving.
0.017 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.017 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (* h0 h0) h1))
0.019 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.020 * * [simplify]: iteration  1 :  6  enodes  (cost  3 )
0.021 * * [progress]: iteration 1 / 4
0.021 * * * [progress]: picking best candidate
0.022 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.022 * * * [progress]: localizing error
0.030 * * * [progress]: generating rewritten candidates
0.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.046 * * * [progress]: generating series expansions
0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.046 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.046 * [taylor]: Taking taylor expansion of x in y
0.047 * [backup-simplify]: Simplify x into x
0.047 * [taylor]: Taking taylor expansion of y in y
0.047 * [backup-simplify]: Simplify 0 into 0
0.047 * [backup-simplify]: Simplify 1 into 1
0.047 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.047 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.047 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.047 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.047 * [backup-simplify]: Simplify (+ 0 1) into 1
0.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.047 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.048 * [taylor]: Taking taylor expansion of x in x
0.048 * [backup-simplify]: Simplify 0 into 0
0.048 * [backup-simplify]: Simplify 1 into 1
0.048 * [taylor]: Taking taylor expansion of y in x
0.048 * [backup-simplify]: Simplify y into y
0.048 * [backup-simplify]: Simplify (+ 0 y) into y
0.048 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.048 * [backup-simplify]: Simplify (+ 0 0) into 0
0.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.048 * [taylor]: Taking taylor expansion of x in x
0.048 * [backup-simplify]: Simplify 0 into 0
0.048 * [backup-simplify]: Simplify 1 into 1
0.048 * [taylor]: Taking taylor expansion of y in x
0.048 * [backup-simplify]: Simplify y into y
0.048 * [backup-simplify]: Simplify (+ 0 y) into y
0.048 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.048 * [backup-simplify]: Simplify (+ 0 0) into 0
0.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.048 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.049 * [taylor]: Taking taylor expansion of y in y
0.049 * [backup-simplify]: Simplify 0 into 0
0.049 * [backup-simplify]: Simplify 1 into 1
0.049 * [backup-simplify]: Simplify (sqrt 0) into 0
0.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [taylor]: Taking taylor expansion of 0 in y
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.050 * [backup-simplify]: Simplify (* 1 1) into 1
0.051 * [backup-simplify]: Simplify (+ 1 0) into 1
0.051 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.051 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.051 * [taylor]: Taking taylor expansion of 1/2 in y
0.051 * [backup-simplify]: Simplify 1/2 into 1/2
0.051 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.051 * [taylor]: Taking taylor expansion of y in y
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify 1 into 1
0.051 * [backup-simplify]: Simplify (/ 1 1) into 1
0.052 * [backup-simplify]: Simplify (sqrt 0) into 0
0.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.053 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.053 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.053 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.055 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.055 * [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))))))
0.056 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.056 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.056 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.056 * [taylor]: Taking taylor expansion of x in y
0.056 * [backup-simplify]: Simplify x into x
0.056 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.056 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.056 * [taylor]: Taking taylor expansion of y in y
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 1 into 1
0.056 * [backup-simplify]: Simplify (/ 1 1) into 1
0.056 * [backup-simplify]: Simplify (+ 0 1) into 1
0.057 * [backup-simplify]: Simplify (sqrt 0) into 0
0.057 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.057 * [taylor]: Taking taylor expansion of x in x
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify 1 into 1
0.058 * [backup-simplify]: Simplify (* 1 1) into 1
0.058 * [backup-simplify]: Simplify (/ 1 1) into 1
0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.058 * [taylor]: Taking taylor expansion of y in x
0.058 * [backup-simplify]: Simplify y into y
0.058 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.058 * [backup-simplify]: Simplify (+ 1 0) into 1
0.058 * [backup-simplify]: Simplify (sqrt 1) into 1
0.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.060 * [taylor]: Taking taylor expansion of x in x
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify 1 into 1
0.060 * [backup-simplify]: Simplify (* 1 1) into 1
0.060 * [backup-simplify]: Simplify (/ 1 1) into 1
0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.060 * [taylor]: Taking taylor expansion of y in x
0.060 * [backup-simplify]: Simplify y into y
0.060 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.061 * [backup-simplify]: Simplify (+ 1 0) into 1
0.061 * [backup-simplify]: Simplify (sqrt 1) into 1
0.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.062 * [backup-simplify]: Simplify (+ 0 0) into 0
0.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.062 * [taylor]: Taking taylor expansion of 1 in y
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [taylor]: Taking taylor expansion of 0 in y
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.063 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.064 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.064 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.064 * [taylor]: Taking taylor expansion of 1/2 in y
0.064 * [backup-simplify]: Simplify 1/2 into 1/2
0.064 * [taylor]: Taking taylor expansion of y in y
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.064 * [backup-simplify]: Simplify 1/2 into 1/2
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.066 * [taylor]: Taking taylor expansion of 0 in y
0.066 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.069 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.069 * [taylor]: Taking taylor expansion of -1/8 in y
0.069 * [backup-simplify]: Simplify -1/8 into -1/8
0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.069 * [taylor]: Taking taylor expansion of y in y
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify (* 1 1) into 1
0.070 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.071 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.071 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.071 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.071 * [taylor]: Taking taylor expansion of x in y
0.071 * [backup-simplify]: Simplify x into x
0.071 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.071 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
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
0.072 * [backup-simplify]: Simplify (- 1) into -1
0.072 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.072 * [backup-simplify]: Simplify (sqrt 0) into 0
0.073 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.073 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.073 * [taylor]: Taking taylor expansion of x in x
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [backup-simplify]: Simplify (* 1 1) into 1
0.073 * [backup-simplify]: Simplify (/ 1 1) into 1
0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.073 * [taylor]: Taking taylor expansion of y in x
0.073 * [backup-simplify]: Simplify y into y
0.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.074 * [backup-simplify]: Simplify (+ 1 0) into 1
0.074 * [backup-simplify]: Simplify (sqrt 1) into 1
0.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.075 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.075 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.075 * [taylor]: Taking taylor expansion of x in x
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.076 * [backup-simplify]: Simplify (* 1 1) into 1
0.076 * [backup-simplify]: Simplify (/ 1 1) into 1
0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.076 * [taylor]: Taking taylor expansion of y in x
0.076 * [backup-simplify]: Simplify y into y
0.076 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.076 * [backup-simplify]: Simplify (+ 1 0) into 1
0.076 * [backup-simplify]: Simplify (sqrt 1) into 1
0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.078 * [taylor]: Taking taylor expansion of 1 in y
0.078 * [backup-simplify]: Simplify 1 into 1
0.078 * [taylor]: Taking taylor expansion of 0 in y
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.079 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.079 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.080 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.080 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.080 * [taylor]: Taking taylor expansion of -1/2 in y
0.080 * [backup-simplify]: Simplify -1/2 into -1/2
0.080 * [taylor]: Taking taylor expansion of y in y
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.080 * [backup-simplify]: Simplify -1/2 into -1/2
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.081 * [backup-simplify]: Simplify (- 0) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.082 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.084 * [backup-simplify]: Simplify (- 0) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.085 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.085 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.085 * [taylor]: Taking taylor expansion of -1/8 in y
0.085 * [backup-simplify]: Simplify -1/8 into -1/8
0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y
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
0.085 * [backup-simplify]: Simplify (* 1 1) into 1
0.085 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.086 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.086 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.086 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.086 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.086 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.086 * [taylor]: Taking taylor expansion of x in y
0.086 * [backup-simplify]: Simplify x into x
0.087 * [taylor]: Taking taylor expansion of y in y
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.087 * [taylor]: Taking taylor expansion of x in x
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [taylor]: Taking taylor expansion of y in x
0.087 * [backup-simplify]: Simplify y into y
0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.087 * [taylor]: Taking taylor expansion of x in x
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [taylor]: Taking taylor expansion of y in x
0.087 * [backup-simplify]: Simplify y into y
0.087 * [backup-simplify]: Simplify (+ 0 y) into y
0.087 * [taylor]: Taking taylor expansion of y in y
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [taylor]: Taking taylor expansion of 0 in y
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (* 1 1) into 1
0.088 * [backup-simplify]: Simplify (+ 1 0) into 1
0.088 * [taylor]: Taking taylor expansion of 1 in y
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) 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 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 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
0.089 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
0.089 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.089 * [taylor]: Taking taylor expansion of x in y
0.089 * [backup-simplify]: Simplify x into x
0.089 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.089 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.089 * [taylor]: Taking taylor expansion of y in y
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.089 * [backup-simplify]: Simplify (/ 1 1) into 1
0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.089 * [taylor]: Taking taylor expansion of x in x
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify (* 1 1) into 1
0.090 * [backup-simplify]: Simplify (/ 1 1) into 1
0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.090 * [taylor]: Taking taylor expansion of y in x
0.090 * [backup-simplify]: Simplify y into y
0.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify (* 1 1) into 1
0.090 * [backup-simplify]: Simplify (/ 1 1) into 1
0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.090 * [taylor]: Taking taylor expansion of y in x
0.090 * [backup-simplify]: Simplify y into y
0.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.091 * [backup-simplify]: Simplify (+ 1 0) into 1
0.091 * [taylor]: Taking taylor expansion of 1 in y
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [taylor]: Taking taylor expansion of 0 in y
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 1 into 1
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
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
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.096 * [backup-simplify]: Simplify (+ 0 0) into 0
0.096 * [taylor]: Taking taylor expansion of 0 in y
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
0.097 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.097 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.097 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.097 * [taylor]: Taking taylor expansion of x in y
0.097 * [backup-simplify]: Simplify x into x
0.097 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.097 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.097 * [taylor]: Taking taylor expansion of y in y
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.097 * [taylor]: Taking taylor expansion of x in x
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (* 1 1) into 1
0.098 * [backup-simplify]: Simplify (/ 1 1) into 1
0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.098 * [taylor]: Taking taylor expansion of y in x
0.098 * [backup-simplify]: Simplify y into y
0.098 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.098 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.098 * [taylor]: Taking taylor expansion of x in x
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (* 1 1) into 1
0.098 * [backup-simplify]: Simplify (/ 1 1) into 1
0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.098 * [taylor]: Taking taylor expansion of y in x
0.098 * [backup-simplify]: Simplify y into y
0.098 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.099 * [backup-simplify]: Simplify (+ 1 0) into 1
0.099 * [taylor]: Taking taylor expansion of 1 in y
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.101 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.101 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.101 * [taylor]: Taking taylor expansion of y in y
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (/ 1 1) into 1
0.101 * [backup-simplify]: Simplify (- 1) into -1
0.101 * [backup-simplify]: Simplify -1 into -1
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.103 * [backup-simplify]: Simplify (- 0) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [taylor]: Taking taylor expansion of 0 in y
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (- 0) into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.105 * [backup-simplify]: Simplify (- 0) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [taylor]: Taking taylor expansion of 0 in y
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.106 * * * [progress]: simplifying candidates
0.109 * [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)
0.109 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h0 h0) h1)))
 (exp (sqrt (+ (* h0 h0) h1)))
 (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1))))
 (cbrt (sqrt (+ (* h0 h0) h1)))
 (* (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1))) (sqrt (+ (* h0 h0) h1)))
 (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))))
 (sqrt (cbrt (+ (* h0 h0) h1)))
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (sqrt 1)
 (sqrt (+ (* h0 h0) h1))
 (sqrt (+ (pow (* h0 h0) 3) (pow h1 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))
 (sqrt (- (* h0 h0) h1))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (* (exp (* h0 h0)) (exp h1))
 (log (+ (* h0 h0) h1))
 (exp (+ (* h0 h0) h1))
 (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))
 (cbrt (+ (* h0 h0) h1))
 (* (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (+ (* h0 h0) h1))
 (sqrt (+ (* h0 h0) h1))
 (sqrt (+ (* h0 h0) h1))
 (+ (pow (* h0 h0) 3) (pow h1 3))
 (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1)))
 (- (* (* h0 h0) (* h0 h0)) (* h1 h1))
 (- (* h0 h0) h1)
 (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1))))))
 (+ h0 (* 1/2 (/ h1 h0)))
 (- (+ h0 (* 1/2 (/ h1 h0))))
 (+ (pow h0 2) h1)
 (+ (pow h0 2) h1)
 (+ (pow h0 2) h1)
0.112 * * [simplify]: iteration  0 :  141  enodes  (cost  152 )
0.115 * * [simplify]: iteration  1 :  475  enodes  (cost  139 )
0.123 * * [simplify]: iteration  2 :  1515  enodes  (cost  138 )
0.156 * * [simplify]: iteration  3 :  5002  enodes  (cost  136 )
0.157 * * * [progress]: adding candidates to table
0.220 * * [progress]: iteration 2 / 4
0.220 * * * [progress]: picking best candidate
0.223 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))>
0.223 * * * [progress]: localizing error
0.230 * * * [progress]: generating rewritten candidates
0.230 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
0.239 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
0.248 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.307 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.324 * * * [progress]: generating series expansions
0.324 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
0.324 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.324 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.324 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.324 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.324 * [taylor]: Taking taylor expansion of x in y
0.324 * [backup-simplify]: Simplify x into x
0.324 * [taylor]: Taking taylor expansion of y in y
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.325 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.325 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.325 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.325 * [backup-simplify]: Simplify (+ 0 1) into 1
0.325 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.325 * [taylor]: Taking taylor expansion of x in x
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [taylor]: Taking taylor expansion of y in x
0.326 * [backup-simplify]: Simplify y into y
0.326 * [backup-simplify]: Simplify (+ 0 y) into y
0.326 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.326 * [taylor]: Taking taylor expansion of x in x
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [taylor]: Taking taylor expansion of y in x
0.326 * [backup-simplify]: Simplify y into y
0.326 * [backup-simplify]: Simplify (+ 0 y) into y
0.326 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.326 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.327 * [taylor]: Taking taylor expansion of y in y
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (sqrt 0) into 0
0.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [taylor]: Taking taylor expansion of 0 in y
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.328 * [backup-simplify]: Simplify (* 1 1) into 1
0.328 * [backup-simplify]: Simplify (+ 1 0) into 1
0.329 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.329 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.329 * [taylor]: Taking taylor expansion of 1/2 in y
0.329 * [backup-simplify]: Simplify 1/2 into 1/2
0.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.329 * [taylor]: Taking taylor expansion of y in y
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (/ 1 1) into 1
0.329 * [backup-simplify]: Simplify (sqrt 0) into 0
0.330 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.331 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.331 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.331 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.333 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.333 * [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))))))
0.334 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.334 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.334 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.334 * [taylor]: Taking taylor expansion of x in y
0.334 * [backup-simplify]: Simplify x into x
0.334 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.334 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.334 * [taylor]: Taking taylor expansion of y in y
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [backup-simplify]: Simplify (+ 0 1) into 1
0.335 * [backup-simplify]: Simplify (sqrt 0) into 0
0.335 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.335 * [taylor]: Taking taylor expansion of x in x
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (* 1 1) into 1
0.336 * [backup-simplify]: Simplify (/ 1 1) into 1
0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.336 * [taylor]: Taking taylor expansion of y in x
0.336 * [backup-simplify]: Simplify y into y
0.336 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.336 * [backup-simplify]: Simplify (+ 1 0) into 1
0.336 * [backup-simplify]: Simplify (sqrt 1) into 1
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.338 * [taylor]: Taking taylor expansion of x in x
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 1 into 1
0.338 * [backup-simplify]: Simplify (* 1 1) into 1
0.338 * [backup-simplify]: Simplify (/ 1 1) into 1
0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.338 * [taylor]: Taking taylor expansion of y in x
0.338 * [backup-simplify]: Simplify y into y
0.338 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.339 * [backup-simplify]: Simplify (+ 1 0) into 1
0.339 * [backup-simplify]: Simplify (sqrt 1) into 1
0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.340 * [taylor]: Taking taylor expansion of 1 in y
0.340 * [backup-simplify]: Simplify 1 into 1
0.340 * [taylor]: Taking taylor expansion of 0 in y
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.342 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.342 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.342 * [taylor]: Taking taylor expansion of 1/2 in y
0.342 * [backup-simplify]: Simplify 1/2 into 1/2
0.342 * [taylor]: Taking taylor expansion of y in y
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.342 * [backup-simplify]: Simplify 1/2 into 1/2
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.344 * [taylor]: Taking taylor expansion of 0 in y
0.344 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.347 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.347 * [taylor]: Taking taylor expansion of -1/8 in y
0.347 * [backup-simplify]: Simplify -1/8 into -1/8
0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.347 * [taylor]: Taking taylor expansion of y in y
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [backup-simplify]: Simplify (* 1 1) into 1
0.347 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.348 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.349 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.349 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.349 * [taylor]: Taking taylor expansion of x in y
0.349 * [backup-simplify]: Simplify x into x
0.349 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.349 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.349 * [taylor]: Taking taylor expansion of y in y
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (/ 1 1) into 1
0.349 * [backup-simplify]: Simplify (- 1) into -1
0.350 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.350 * [backup-simplify]: Simplify (sqrt 0) into 0
0.350 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.351 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.351 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.351 * [taylor]: Taking taylor expansion of x in x
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify (/ 1 1) into 1
0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.351 * [taylor]: Taking taylor expansion of y in x
0.351 * [backup-simplify]: Simplify y into y
0.351 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.352 * [backup-simplify]: Simplify (+ 1 0) into 1
0.352 * [backup-simplify]: Simplify (sqrt 1) into 1
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.353 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.353 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.353 * [taylor]: Taking taylor expansion of x in x
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (* 1 1) into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.354 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.354 * [taylor]: Taking taylor expansion of y in x
0.354 * [backup-simplify]: Simplify y into y
0.354 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.354 * [backup-simplify]: Simplify (+ 1 0) into 1
0.354 * [backup-simplify]: Simplify (sqrt 1) into 1
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify (+ 0 0) into 0
0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.356 * [taylor]: Taking taylor expansion of 1 in y
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [taylor]: Taking taylor expansion of 0 in y
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.357 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.357 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.357 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.357 * [taylor]: Taking taylor expansion of -1/2 in y
0.357 * [backup-simplify]: Simplify -1/2 into -1/2
0.358 * [taylor]: Taking taylor expansion of y in y
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.358 * [backup-simplify]: Simplify -1/2 into -1/2
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.359 * [backup-simplify]: Simplify (- 0) into 0
0.359 * [backup-simplify]: Simplify (+ 0 0) into 0
0.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.360 * [taylor]: Taking taylor expansion of 0 in y
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.362 * [backup-simplify]: Simplify (- 0) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.363 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.363 * [taylor]: Taking taylor expansion of -1/8 in y
0.363 * [backup-simplify]: Simplify -1/8 into -1/8
0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.363 * [taylor]: Taking taylor expansion of y in y
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.363 * [backup-simplify]: Simplify (* 1 1) into 1
0.363 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.364 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
0.364 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.364 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.364 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.364 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.364 * [taylor]: Taking taylor expansion of x in y
0.364 * [backup-simplify]: Simplify x into x
0.365 * [taylor]: Taking taylor expansion of y in y
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.365 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.365 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.365 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.365 * [backup-simplify]: Simplify (+ 0 1) into 1
0.365 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.365 * [taylor]: Taking taylor expansion of x in x
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [taylor]: Taking taylor expansion of y in x
0.365 * [backup-simplify]: Simplify y into y
0.365 * [backup-simplify]: Simplify (+ 0 y) into y
0.365 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.366 * [taylor]: Taking taylor expansion of x in x
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [taylor]: Taking taylor expansion of y in x
0.366 * [backup-simplify]: Simplify y into y
0.366 * [backup-simplify]: Simplify (+ 0 y) into y
0.366 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.366 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.366 * [taylor]: Taking taylor expansion of y in y
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (sqrt 0) into 0
0.368 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [taylor]: Taking taylor expansion of 0 in y
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.368 * [backup-simplify]: Simplify (* 1 1) into 1
0.368 * [backup-simplify]: Simplify (+ 1 0) into 1
0.369 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.369 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.369 * [taylor]: Taking taylor expansion of 1/2 in y
0.369 * [backup-simplify]: Simplify 1/2 into 1/2
0.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.369 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.369 * [taylor]: Taking taylor expansion of y in y
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.369 * [backup-simplify]: Simplify (sqrt 0) into 0
0.370 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.371 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.371 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.371 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.373 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.373 * [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))))))
0.373 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.373 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.373 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.373 * [taylor]: Taking taylor expansion of x in y
0.373 * [backup-simplify]: Simplify x into x
0.373 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.373 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.373 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.373 * [taylor]: Taking taylor expansion of y in y
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify (/ 1 1) into 1
0.374 * [backup-simplify]: Simplify (+ 0 1) into 1
0.374 * [backup-simplify]: Simplify (sqrt 0) into 0
0.375 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.375 * [taylor]: Taking taylor expansion of x in x
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (* 1 1) into 1
0.376 * [backup-simplify]: Simplify (/ 1 1) into 1
0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.376 * [taylor]: Taking taylor expansion of y in x
0.376 * [backup-simplify]: Simplify y into y
0.376 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.376 * [backup-simplify]: Simplify (+ 1 0) into 1
0.376 * [backup-simplify]: Simplify (sqrt 1) into 1
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ 0 0) into 0
0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.378 * [taylor]: Taking taylor expansion of x in x
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (* 1 1) into 1
0.378 * [backup-simplify]: Simplify (/ 1 1) into 1
0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.378 * [taylor]: Taking taylor expansion of y in x
0.378 * [backup-simplify]: Simplify y into y
0.378 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.378 * [backup-simplify]: Simplify (+ 1 0) into 1
0.379 * [backup-simplify]: Simplify (sqrt 1) into 1
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (+ 0 0) into 0
0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.380 * [taylor]: Taking taylor expansion of 1 in y
0.380 * [backup-simplify]: Simplify 1 into 1
0.380 * [taylor]: Taking taylor expansion of 0 in y
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.382 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.382 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.382 * [taylor]: Taking taylor expansion of 1/2 in y
0.382 * [backup-simplify]: Simplify 1/2 into 1/2
0.382 * [taylor]: Taking taylor expansion of y in y
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 1 into 1
0.382 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.382 * [backup-simplify]: Simplify 1/2 into 1/2
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.384 * [backup-simplify]: Simplify (+ 0 0) into 0
0.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.384 * [taylor]: Taking taylor expansion of 0 in y
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.387 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.387 * [taylor]: Taking taylor expansion of -1/8 in y
0.387 * [backup-simplify]: Simplify -1/8 into -1/8
0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.387 * [taylor]: Taking taylor expansion of y in y
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify 1 into 1
0.387 * [backup-simplify]: Simplify (* 1 1) into 1
0.387 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.388 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.388 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.388 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.388 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.388 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.388 * [taylor]: Taking taylor expansion of x in y
0.388 * [backup-simplify]: Simplify x into x
0.388 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.389 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.389 * [taylor]: Taking taylor expansion of y in y
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify (/ 1 1) into 1
0.389 * [backup-simplify]: Simplify (- 1) into -1
0.389 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.390 * [backup-simplify]: Simplify (sqrt 0) into 0
0.390 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.390 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.390 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.390 * [taylor]: Taking taylor expansion of x in x
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.391 * [backup-simplify]: Simplify (* 1 1) into 1
0.391 * [backup-simplify]: Simplify (/ 1 1) into 1
0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.391 * [taylor]: Taking taylor expansion of y in x
0.391 * [backup-simplify]: Simplify y into y
0.391 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.391 * [backup-simplify]: Simplify (+ 1 0) into 1
0.391 * [backup-simplify]: Simplify (sqrt 1) into 1
0.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.393 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.393 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.393 * [taylor]: Taking taylor expansion of x in x
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [backup-simplify]: Simplify (* 1 1) into 1
0.393 * [backup-simplify]: Simplify (/ 1 1) into 1
0.393 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.393 * [taylor]: Taking taylor expansion of y in x
0.393 * [backup-simplify]: Simplify y into y
0.393 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.394 * [backup-simplify]: Simplify (+ 1 0) into 1
0.394 * [backup-simplify]: Simplify (sqrt 1) into 1
0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.396 * [taylor]: Taking taylor expansion of 1 in y
0.396 * [backup-simplify]: Simplify 1 into 1
0.396 * [taylor]: Taking taylor expansion of 0 in y
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.397 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.397 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.398 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.398 * [taylor]: Taking taylor expansion of -1/2 in y
0.398 * [backup-simplify]: Simplify -1/2 into -1/2
0.398 * [taylor]: Taking taylor expansion of y in y
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.398 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.398 * [backup-simplify]: Simplify -1/2 into -1/2
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.399 * [backup-simplify]: Simplify (- 0) into 0
0.400 * [backup-simplify]: Simplify (+ 0 0) into 0
0.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.400 * [taylor]: Taking taylor expansion of 0 in y
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.402 * [backup-simplify]: Simplify (- 0) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.403 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.403 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.403 * [taylor]: Taking taylor expansion of -1/8 in y
0.403 * [backup-simplify]: Simplify -1/8 into -1/8
0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.403 * [taylor]: Taking taylor expansion of y in y
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.405 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.405 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) into (sqrt (+ (pow x 2) y))
0.405 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.405 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.405 * [taylor]: Taking taylor expansion of x in y
0.405 * [backup-simplify]: Simplify x into x
0.405 * [taylor]: Taking taylor expansion of y in y
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.405 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.405 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.405 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.406 * [backup-simplify]: Simplify (+ 0 1) into 1
0.406 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.406 * [taylor]: Taking taylor expansion of x in x
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.406 * [taylor]: Taking taylor expansion of y in x
0.406 * [backup-simplify]: Simplify y into y
0.406 * [backup-simplify]: Simplify (+ 0 y) into y
0.406 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.406 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.406 * [taylor]: Taking taylor expansion of x in x
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.407 * [taylor]: Taking taylor expansion of y in x
0.407 * [backup-simplify]: Simplify y into y
0.407 * [backup-simplify]: Simplify (+ 0 y) into y
0.407 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.407 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.407 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.407 * [taylor]: Taking taylor expansion of y in y
0.407 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify 1 into 1
0.407 * [backup-simplify]: Simplify (sqrt 0) into 0
0.408 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [taylor]: Taking taylor expansion of 0 in y
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.408 * [backup-simplify]: Simplify (* 1 1) into 1
0.409 * [backup-simplify]: Simplify (+ 1 0) into 1
0.409 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.409 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.409 * [taylor]: Taking taylor expansion of 1/2 in y
0.409 * [backup-simplify]: Simplify 1/2 into 1/2
0.409 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.409 * [taylor]: Taking taylor expansion of y in y
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.410 * [backup-simplify]: Simplify (/ 1 1) into 1
0.410 * [backup-simplify]: Simplify (sqrt 0) into 0
0.410 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.415 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.415 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.415 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.418 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.418 * [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))))))
0.419 * [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)))
0.419 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.419 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.419 * [taylor]: Taking taylor expansion of x in y
0.419 * [backup-simplify]: Simplify x into x
0.419 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.419 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.419 * [taylor]: Taking taylor expansion of y in y
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 1 into 1
0.419 * [backup-simplify]: Simplify (/ 1 1) into 1
0.420 * [backup-simplify]: Simplify (+ 0 1) into 1
0.420 * [backup-simplify]: Simplify (sqrt 0) into 0
0.421 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.421 * [taylor]: Taking taylor expansion of x in x
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.422 * [backup-simplify]: Simplify (* 1 1) into 1
0.422 * [backup-simplify]: Simplify (/ 1 1) into 1
0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.422 * [taylor]: Taking taylor expansion of y in x
0.422 * [backup-simplify]: Simplify y into y
0.422 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.422 * [backup-simplify]: Simplify (+ 1 0) into 1
0.422 * [backup-simplify]: Simplify (sqrt 1) into 1
0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.424 * [taylor]: Taking taylor expansion of x in x
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 1 into 1
0.424 * [backup-simplify]: Simplify (* 1 1) into 1
0.424 * [backup-simplify]: Simplify (/ 1 1) into 1
0.424 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.424 * [taylor]: Taking taylor expansion of y in x
0.424 * [backup-simplify]: Simplify y into y
0.424 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.425 * [backup-simplify]: Simplify (+ 1 0) into 1
0.425 * [backup-simplify]: Simplify (sqrt 1) into 1
0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (+ 0 0) into 0
0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.426 * [taylor]: Taking taylor expansion of 1 in y
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [taylor]: Taking taylor expansion of 0 in y
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.428 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.428 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.428 * [taylor]: Taking taylor expansion of 1/2 in y
0.428 * [backup-simplify]: Simplify 1/2 into 1/2
0.428 * [taylor]: Taking taylor expansion of y in y
0.428 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify 1 into 1
0.428 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.429 * [backup-simplify]: Simplify 1/2 into 1/2
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.430 * [backup-simplify]: Simplify (+ 0 0) into 0
0.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.430 * [taylor]: Taking taylor expansion of 0 in y
0.430 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.432 * [backup-simplify]: Simplify (+ 0 0) into 0
0.433 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.433 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.433 * [taylor]: Taking taylor expansion of -1/8 in y
0.433 * [backup-simplify]: Simplify -1/8 into -1/8
0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.433 * [taylor]: Taking taylor expansion of y in y
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 1 into 1
0.433 * [backup-simplify]: Simplify (* 1 1) into 1
0.434 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.435 * [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)))
0.435 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.435 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.435 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.435 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.435 * [taylor]: Taking taylor expansion of x in y
0.435 * [backup-simplify]: Simplify x into x
0.435 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.435 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.435 * [taylor]: Taking taylor expansion of y in y
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 1 into 1
0.436 * [backup-simplify]: Simplify (/ 1 1) into 1
0.436 * [backup-simplify]: Simplify (- 1) into -1
0.436 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.436 * [backup-simplify]: Simplify (sqrt 0) into 0
0.437 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.437 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.437 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.437 * [taylor]: Taking taylor expansion of x in x
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 1 into 1
0.438 * [backup-simplify]: Simplify (* 1 1) into 1
0.438 * [backup-simplify]: Simplify (/ 1 1) into 1
0.438 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.438 * [taylor]: Taking taylor expansion of y in x
0.438 * [backup-simplify]: Simplify y into y
0.438 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.438 * [backup-simplify]: Simplify (+ 1 0) into 1
0.438 * [backup-simplify]: Simplify (sqrt 1) into 1
0.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.439 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.440 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.440 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.440 * [taylor]: Taking taylor expansion of x in x
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify 1 into 1
0.440 * [backup-simplify]: Simplify (* 1 1) into 1
0.440 * [backup-simplify]: Simplify (/ 1 1) into 1
0.440 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.440 * [taylor]: Taking taylor expansion of y in x
0.440 * [backup-simplify]: Simplify y into y
0.440 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.441 * [backup-simplify]: Simplify (+ 1 0) into 1
0.441 * [backup-simplify]: Simplify (sqrt 1) into 1
0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.442 * [backup-simplify]: Simplify (+ 0 0) into 0
0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.442 * [taylor]: Taking taylor expansion of 1 in y
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [taylor]: Taking taylor expansion of 0 in y
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.443 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.443 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.444 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.444 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.444 * [taylor]: Taking taylor expansion of -1/2 in y
0.444 * [backup-simplify]: Simplify -1/2 into -1/2
0.444 * [taylor]: Taking taylor expansion of y in y
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.445 * [backup-simplify]: Simplify -1/2 into -1/2
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.446 * [backup-simplify]: Simplify (- 0) into 0
0.446 * [backup-simplify]: Simplify (+ 0 0) into 0
0.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.446 * [taylor]: Taking taylor expansion of 0 in y
0.446 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.448 * [backup-simplify]: Simplify (- 0) into 0
0.449 * [backup-simplify]: Simplify (+ 0 0) into 0
0.449 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.449 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.449 * [taylor]: Taking taylor expansion of -1/8 in y
0.449 * [backup-simplify]: Simplify -1/8 into -1/8
0.449 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.449 * [taylor]: Taking taylor expansion of y in y
0.449 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 1 into 1
0.450 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.451 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.451 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* x x) y))) into (pow (+ (pow x 2) y) 1/4)
0.451 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0
0.451 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y
0.451 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y
0.451 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y
0.451 * [taylor]: Taking taylor expansion of 1/4 in y
0.451 * [backup-simplify]: Simplify 1/4 into 1/4
0.451 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y
0.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.451 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.451 * [taylor]: Taking taylor expansion of x in y
0.451 * [backup-simplify]: Simplify x into x
0.451 * [taylor]: Taking taylor expansion of y in y
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.452 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.452 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
0.452 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2)))
0.452 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4)
0.452 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x
0.452 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x
0.452 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x
0.452 * [taylor]: Taking taylor expansion of 1/4 in x
0.452 * [backup-simplify]: Simplify 1/4 into 1/4
0.452 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x
0.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.452 * [taylor]: Taking taylor expansion of x in x
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [taylor]: Taking taylor expansion of y in x
0.452 * [backup-simplify]: Simplify y into y
0.452 * [backup-simplify]: Simplify (+ 0 y) into y
0.452 * [backup-simplify]: Simplify (log y) into (log y)
0.452 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y))
0.453 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4)
0.453 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x
0.453 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x
0.453 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x
0.453 * [taylor]: Taking taylor expansion of 1/4 in x
0.453 * [backup-simplify]: Simplify 1/4 into 1/4
0.453 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x
0.453 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.453 * [taylor]: Taking taylor expansion of x in x
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 1 into 1
0.453 * [taylor]: Taking taylor expansion of y in x
0.453 * [backup-simplify]: Simplify y into y
0.453 * [backup-simplify]: Simplify (+ 0 y) into y
0.453 * [backup-simplify]: Simplify (log y) into (log y)
0.453 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y))
0.453 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4)
0.453 * [taylor]: Taking taylor expansion of (pow y 1/4) in y
0.453 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y
0.453 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y
0.453 * [taylor]: Taking taylor expansion of 1/4 in y
0.453 * [backup-simplify]: Simplify 1/4 into 1/4
0.453 * [taylor]: Taking taylor expansion of (log y) in y
0.453 * [taylor]: Taking taylor expansion of y in y
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 1 into 1
0.453 * [backup-simplify]: Simplify (log 1) into 0
0.454 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y)
0.454 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y))
0.454 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4)
0.454 * [backup-simplify]: Simplify (pow y 1/4) into (pow y 1/4)
0.454 * [backup-simplify]: Simplify (+ 0 0) into 0
0.455 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0
0.455 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0
0.455 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
0.455 * [taylor]: Taking taylor expansion of 0 in y
0.455 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.457 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y)
0.457 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0
0.457 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
0.457 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify (* 1 1) into 1
0.458 * [backup-simplify]: Simplify (+ 1 0) into 1
0.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow y 1)))) 2) into (/ 1 y)
0.459 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (log y)))) into (* 1/4 (/ 1 y))
0.460 * [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))
0.460 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y
0.460 * [taylor]: Taking taylor expansion of 1/4 in y
0.460 * [backup-simplify]: Simplify 1/4 into 1/4
0.460 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y
0.460 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y
0.460 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y
0.460 * [taylor]: Taking taylor expansion of 1/4 in y
0.460 * [backup-simplify]: Simplify 1/4 into 1/4
0.460 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y
0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
0.460 * [taylor]: Taking taylor expansion of (pow y 3) in y
0.460 * [taylor]: Taking taylor expansion of y in y
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.460 * [backup-simplify]: Simplify (* 1 1) into 1
0.460 * [backup-simplify]: Simplify (* 1 1) into 1
0.461 * [backup-simplify]: Simplify (/ 1 1) into 1
0.461 * [backup-simplify]: Simplify (log 1) into 0
0.461 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y)))
0.461 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log y)))) into (* -3/4 (log y))
0.461 * [backup-simplify]: Simplify (exp (* -3/4 (log y))) into (pow y -3/4)
0.461 * [backup-simplify]: Simplify (* 1/4 (pow y -3/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4))
0.462 * [backup-simplify]: Simplify (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4))
0.462 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.463 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y)
0.464 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log y)))) into 0
0.465 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.465 * [backup-simplify]: Simplify (+ 0 0) into 0
0.467 * [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
0.468 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (log y))))) into 0
0.469 * [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
0.469 * [taylor]: Taking taylor expansion of 0 in y
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.471 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y)))
0.471 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log y))))) into 0
0.472 * [backup-simplify]: Simplify (* (exp (* -3/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
0.472 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow y -3/4))) into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.475 * [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
0.475 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y)
0.476 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log y))))) into 0
0.477 * [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
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [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))
0.477 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4)
0.477 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0
0.477 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y
0.478 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y
0.478 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y
0.478 * [taylor]: Taking taylor expansion of 1/4 in y
0.478 * [backup-simplify]: Simplify 1/4 into 1/4
0.478 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.478 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.478 * [taylor]: Taking taylor expansion of x in y
0.478 * [backup-simplify]: Simplify x into x
0.478 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.478 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.478 * [taylor]: Taking taylor expansion of y in y
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [backup-simplify]: Simplify (/ 1 1) into 1
0.479 * [backup-simplify]: Simplify (+ 0 1) into 1
0.479 * [backup-simplify]: Simplify (log 1) into 0
0.479 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
0.479 * [backup-simplify]: Simplify (* 1/4 (- (log y))) into (* -1/4 (log y))
0.479 * [backup-simplify]: Simplify (exp (* -1/4 (log y))) into (pow y -1/4)
0.479 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x
0.479 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x
0.479 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x
0.479 * [taylor]: Taking taylor expansion of 1/4 in x
0.479 * [backup-simplify]: Simplify 1/4 into 1/4
0.479 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.479 * [taylor]: Taking taylor expansion of x in x
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.480 * [backup-simplify]: Simplify (* 1 1) into 1
0.480 * [backup-simplify]: Simplify (/ 1 1) into 1
0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.480 * [taylor]: Taking taylor expansion of y in x
0.480 * [backup-simplify]: Simplify y into y
0.480 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.480 * [backup-simplify]: Simplify (+ 1 0) into 1
0.480 * [backup-simplify]: Simplify (log 1) into 0
0.481 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.481 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
0.481 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
0.481 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x
0.481 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x
0.481 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x
0.481 * [taylor]: Taking taylor expansion of 1/4 in x
0.481 * [backup-simplify]: Simplify 1/4 into 1/4
0.481 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.481 * [taylor]: Taking taylor expansion of x in x
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (* 1 1) into 1
0.482 * [backup-simplify]: Simplify (/ 1 1) into 1
0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.482 * [taylor]: Taking taylor expansion of y in x
0.482 * [backup-simplify]: Simplify y into y
0.482 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.482 * [backup-simplify]: Simplify (+ 1 0) into 1
0.482 * [backup-simplify]: Simplify (log 1) into 0
0.482 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.482 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
0.482 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
0.483 * [taylor]: Taking taylor expansion of (pow x -1/2) in y
0.483 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y
0.483 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y
0.483 * [taylor]: Taking taylor expansion of -1/2 in y
0.483 * [backup-simplify]: Simplify -1/2 into -1/2
0.483 * [taylor]: Taking taylor expansion of (log x) in y
0.483 * [taylor]: Taking taylor expansion of x in y
0.483 * [backup-simplify]: Simplify x into x
0.483 * [backup-simplify]: Simplify (log x) into (log x)
0.483 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
0.483 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
0.483 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2)
0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (+ 0 0) into 0
0.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.485 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.485 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
0.486 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
0.486 * [taylor]: Taking taylor expansion of 0 in y
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
0.487 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
0.487 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
0.487 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.489 * [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)
0.490 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.490 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 y))
0.491 * [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)))
0.491 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y
0.491 * [taylor]: Taking taylor expansion of 1/4 in y
0.491 * [backup-simplify]: Simplify 1/4 into 1/4
0.491 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y
0.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.491 * [taylor]: Taking taylor expansion of x in y
0.491 * [backup-simplify]: Simplify x into x
0.491 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.491 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.491 * [taylor]: Taking taylor expansion of y in y
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 1 into 1
0.491 * [backup-simplify]: Simplify (/ 1 1) into 1
0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.492 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0
0.492 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x))
0.492 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (sqrt (/ 1 x)))) into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
0.494 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0
0.495 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [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
0.498 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.499 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
0.500 * [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
0.500 * [taylor]: Taking taylor expansion of 0 in y
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2)
0.501 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4)
0.501 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0
0.501 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y
0.501 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y
0.501 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y
0.501 * [taylor]: Taking taylor expansion of 1/4 in y
0.501 * [backup-simplify]: Simplify 1/4 into 1/4
0.501 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.501 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.501 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.501 * [taylor]: Taking taylor expansion of x in y
0.501 * [backup-simplify]: Simplify x into x
0.501 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.501 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.501 * [taylor]: Taking taylor expansion of y in y
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 1 into 1
0.501 * [backup-simplify]: Simplify (/ 1 1) into 1
0.501 * [backup-simplify]: Simplify (- 1) into -1
0.502 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.502 * [backup-simplify]: Simplify (log -1) into (log -1)
0.502 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y))
0.503 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log y))) into (* 1/4 (- (log -1) (log y)))
0.503 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log y)))) into (exp (* 1/4 (- (log -1) (log y))))
0.503 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x
0.503 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x
0.503 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x
0.503 * [taylor]: Taking taylor expansion of 1/4 in x
0.503 * [backup-simplify]: Simplify 1/4 into 1/4
0.503 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.503 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.503 * [taylor]: Taking taylor expansion of x in x
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (/ 1 1) into 1
0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.504 * [taylor]: Taking taylor expansion of y in x
0.504 * [backup-simplify]: Simplify y into y
0.504 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.504 * [backup-simplify]: Simplify (+ 1 0) into 1
0.504 * [backup-simplify]: Simplify (log 1) into 0
0.504 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.505 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
0.505 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
0.505 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x
0.505 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x
0.505 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x
0.505 * [taylor]: Taking taylor expansion of 1/4 in x
0.505 * [backup-simplify]: Simplify 1/4 into 1/4
0.505 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.505 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.505 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.505 * [taylor]: Taking taylor expansion of x in x
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (* 1 1) into 1
0.505 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.505 * [taylor]: Taking taylor expansion of y in x
0.505 * [backup-simplify]: Simplify y into y
0.505 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.506 * [backup-simplify]: Simplify (+ 1 0) into 1
0.506 * [backup-simplify]: Simplify (log 1) into 0
0.506 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.506 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
0.506 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
0.506 * [taylor]: Taking taylor expansion of (pow x -1/2) in y
0.506 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y
0.506 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y
0.506 * [taylor]: Taking taylor expansion of -1/2 in y
0.506 * [backup-simplify]: Simplify -1/2 into -1/2
0.506 * [taylor]: Taking taylor expansion of (log x) in y
0.506 * [taylor]: Taking taylor expansion of x in y
0.506 * [backup-simplify]: Simplify x into x
0.506 * [backup-simplify]: Simplify (log x) into (log x)
0.506 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
0.507 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
0.507 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2)
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (+ 0 0) into 0
0.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.509 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.509 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
0.510 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
0.510 * [taylor]: Taking taylor expansion of 0 in y
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
0.513 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
0.514 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.515 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.516 * [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)
0.516 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.517 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (- (* 1/4 (/ 1 y)))
0.517 * [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)))
0.517 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y
0.517 * [taylor]: Taking taylor expansion of -1/4 in y
0.517 * [backup-simplify]: Simplify -1/4 into -1/4
0.517 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y
0.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.517 * [taylor]: Taking taylor expansion of x in y
0.517 * [backup-simplify]: Simplify x into x
0.518 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.518 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
0.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.518 * [taylor]: Taking taylor expansion of y in y
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 1 into 1
0.518 * [backup-simplify]: Simplify (/ 1 1) into 1
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0
0.519 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x))
0.519 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (sqrt (/ 1 x)))) into 0
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
0.521 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0
0.522 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.523 * [backup-simplify]: Simplify (- 0) into 0
0.523 * [backup-simplify]: Simplify (+ 0 0) into 0
0.525 * [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
0.525 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
0.526 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
0.527 * [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
0.527 * [taylor]: Taking taylor expansion of 0 in y
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/2) into (pow (/ -1 x) -1/2)
0.528 * * * [progress]: simplifying candidates
0.530 * [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)
0.530 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h0 h0) h1)))
 (exp (sqrt (+ (* h0 h0) h1)))
 (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1))))
 (cbrt (sqrt (+ (* h0 h0) h1)))
 (* (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1))) (sqrt (+ (* h0 h0) h1)))
 (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))))
 (sqrt (cbrt (+ (* h0 h0) h1)))
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (sqrt 1)
 (sqrt (+ (* h0 h0) h1))
 (sqrt (+ (pow (* h0 h0) 3) (pow h1 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))
 (sqrt (- (* h0 h0) h1))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (log (sqrt (+ (* h0 h0) h1)))
 (exp (sqrt (+ (* h0 h0) h1)))
 (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1))))
 (cbrt (sqrt (+ (* h0 h0) h1)))
 (* (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1))) (sqrt (+ (* h0 h0) h1)))
 (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))))
 (sqrt (cbrt (+ (* h0 h0) h1)))
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (sqrt 1)
 (sqrt (+ (* h0 h0) h1))
 (sqrt (+ (pow (* h0 h0) 3) (pow h1 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))
 (sqrt (- (* h0 h0) h1))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (+ 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 (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (+ (* h0 h0) h1) (+ (* h0 h0) h1))
 (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)))
 (* (+ (* h0 h0) h1) (+ (* h0 h0) h1))
 (+ 1 1)
 (+ (log (sqrt (sqrt (+ (* h0 h0) h1)))) (log (sqrt (sqrt (+ (* h0 h0) h1)))))
 (log (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1)))))
 (exp (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (* (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (+ (* h0 h0) h1)))) (* (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (cbrt (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))))) (cbrt (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))))))
 (cbrt (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (* (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1)))) (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))))) (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)))
 (sqrt (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1)))))
 (sqrt (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (+ (pow (* h0 h0) 3) (pow h1 3)))) (sqrt (sqrt (+ (pow (* h0 h0) 3) (pow h1 3)))))
 (* (sqrt (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))))) (sqrt (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))))))
 (* (sqrt (sqrt (+ (pow (* h0 h0) 3) (pow h1 3)))) (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))))) (sqrt (sqrt (- (* h0 h0) h1))))
 (* (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))) (sqrt (sqrt (+ (pow (* h0 h0) 3) (pow h1 3)))))
 (* (sqrt (sqrt (- (* h0 h0) h1))) (sqrt (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))))))
 (* (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))) (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))))
 (* (sqrt (sqrt (- (* h0 h0) h1))) (sqrt (sqrt (- (* h0 h0) h1))))
 (* (* (cbrt (sqrt (sqrt (+ (* h0 h0) h1)))) (cbrt (sqrt (sqrt (+ (* h0 h0) h1))))) (* (cbrt (sqrt (sqrt (+ (* h0 h0) h1)))) (cbrt (sqrt (sqrt (+ (* h0 h0) h1))))))
 (* (cbrt (sqrt (sqrt (+ (* h0 h0) h1)))) (cbrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1))))) (sqrt (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1))))))
 (* (sqrt (cbrt (sqrt (+ (* h0 h0) h1)))) (sqrt (cbrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))))) (sqrt (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))))))
 (* (sqrt (sqrt (cbrt (+ (* h0 h0) h1)))) (sqrt (sqrt (cbrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* 1 1)
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1/2 2))
 (* 2 (/ 1 2))
 (* 2 (/ (/ 1 2) 2))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (* (cbrt (sqrt (sqrt (+ (* h0 h0) h1)))) (cbrt (sqrt (sqrt (+ (* h0 h0) h1))))))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1))))))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))))))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt 1))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) 1)
 (* (cbrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (cbrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (sqrt (cbrt (+ (* h0 h0) h1)))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (pow (* h0 h0) 3) (pow h1 3)))))
 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))))
 (* (sqrt (sqrt (+ (pow (* h0 h0) 3) (pow h1 3)))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (log (sqrt (sqrt (+ (* h0 h0) h1))))
 (exp (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (cbrt (sqrt (sqrt (+ (* h0 h0) h1)))) (cbrt (sqrt (sqrt (+ (* h0 h0) h1)))))
 (cbrt (sqrt (sqrt (+ (* h0 h0) h1))))
 (* (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (+ (* h0 h0) h1))))
 (sqrt (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1)))))
 (sqrt (cbrt (sqrt (+ (* h0 h0) h1))))
 (sqrt (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))))
 (sqrt (sqrt (cbrt (+ (* h0 h0) h1))))
 (sqrt (sqrt (sqrt (+ (* h0 h0) h1))))
 (sqrt (sqrt (sqrt (+ (* h0 h0) h1))))
 (sqrt (sqrt 1))
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (sqrt (sqrt (sqrt (+ (* h0 h0) h1))))
 (sqrt (sqrt (sqrt (+ (* h0 h0) h1))))
 (sqrt 1)
 (sqrt (sqrt (+ (* h0 h0) h1)))
 (sqrt (sqrt (+ (pow (* h0 h0) 3) (pow h1 3))))
 (sqrt (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1)))))
 (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1))))
 (sqrt (sqrt (- (* h0 h0) h1)))
 (/ 1/2 2)
 (/ 1 2)
 (/ (/ 1 2) 2)
 (sqrt (sqrt (sqrt (+ (* h0 h0) h1))))
 (sqrt (sqrt (sqrt (+ (* h0 h0) h1))))
 (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1))))))
 (+ h0 (* 1/2 (/ h1 h0)))
 (- (+ h0 (* 1/2 (/ h1 h0))))
 (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1))))))
 (+ h0 (* 1/2 (/ h1 h0)))
 (- (+ h0 (* 1/2 (/ h1 h0))))
 (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1))))))
 (+ h0 (* 1/2 (/ h1 h0)))
 (- (+ h0 (* 1/2 (/ h1 h0))))
 (+ (* 1/4 (* (pow h0 2) (pow (/ 1 (pow h1 3)) 1/4))) (pow h1 1/4))
 (pow (/ 1 h0) -1/2)
 (pow (/ -1 h0) -1/2)
0.537 * * [simplify]: iteration  0 :  264  enodes  (cost  901 )
0.544 * * [simplify]: iteration  1 :  1062  enodes  (cost  835 )
0.570 * * [simplify]: iteration  2 :  5001  enodes  (cost  816 )
0.575 * * * [progress]: adding candidates to table
0.800 * * [progress]: iteration 3 / 4
0.800 * * * [progress]: picking best candidate
0.802 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.802 * * * [progress]: localizing error
0.807 * * * [progress]: generating rewritten candidates
0.807 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.813 * * * [progress]: generating series expansions
0.813 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.813 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x)))
0.813 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.813 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.813 * [taylor]: Taking taylor expansion of x in y
0.813 * [backup-simplify]: Simplify x into x
0.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.813 * [taylor]: Taking taylor expansion of 1/2 in y
0.813 * [backup-simplify]: Simplify 1/2 into 1/2
0.813 * [taylor]: Taking taylor expansion of (/ y x) in y
0.813 * [taylor]: Taking taylor expansion of y in y
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 1 into 1
0.813 * [taylor]: Taking taylor expansion of x in y
0.813 * [backup-simplify]: Simplify x into x
0.813 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.813 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.813 * [taylor]: Taking taylor expansion of x in x
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 1 into 1
0.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.813 * [taylor]: Taking taylor expansion of 1/2 in x
0.813 * [backup-simplify]: Simplify 1/2 into 1/2
0.813 * [taylor]: Taking taylor expansion of (/ y x) in x
0.813 * [taylor]: Taking taylor expansion of y in x
0.813 * [backup-simplify]: Simplify y into y
0.813 * [taylor]: Taking taylor expansion of x in x
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 1 into 1
0.814 * [backup-simplify]: Simplify (/ y 1) into y
0.814 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.814 * [taylor]: Taking taylor expansion of x in x
0.814 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify 1 into 1
0.814 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.814 * [taylor]: Taking taylor expansion of 1/2 in x
0.814 * [backup-simplify]: Simplify 1/2 into 1/2
0.814 * [taylor]: Taking taylor expansion of (/ y x) in x
0.814 * [taylor]: Taking taylor expansion of y in x
0.814 * [backup-simplify]: Simplify y into y
0.814 * [taylor]: Taking taylor expansion of x in x
0.814 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify 1 into 1
0.814 * [backup-simplify]: Simplify (/ y 1) into y
0.814 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
0.814 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y)
0.814 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.814 * [taylor]: Taking taylor expansion of 1/2 in y
0.814 * [backup-simplify]: Simplify 1/2 into 1/2
0.814 * [taylor]: Taking taylor expansion of y in y
0.814 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify 1 into 1
0.814 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.814 * [backup-simplify]: Simplify 0 into 0
0.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
0.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
0.816 * [backup-simplify]: Simplify (+ 0 0) into 0
0.816 * [taylor]: Taking taylor expansion of 0 in y
0.816 * [backup-simplify]: Simplify 0 into 0
0.816 * [backup-simplify]: Simplify 0 into 0
0.816 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.816 * [backup-simplify]: Simplify 1/2 into 1/2
0.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
0.818 * [backup-simplify]: Simplify (+ 1 0) into 1
0.818 * [taylor]: Taking taylor expansion of 1 in y
0.818 * [backup-simplify]: Simplify 1 into 1
0.818 * [backup-simplify]: Simplify 1 into 1
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.818 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.820 * [backup-simplify]: Simplify (+ 0 0) into 0
0.820 * [taylor]: Taking taylor expansion of 0 in y
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 0 into 0
0.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.821 * [backup-simplify]: Simplify 0 into 0
0.821 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x)))
0.821 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x))
0.821 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.821 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.821 * [taylor]: Taking taylor expansion of 1/2 in y
0.821 * [backup-simplify]: Simplify 1/2 into 1/2
0.821 * [taylor]: Taking taylor expansion of (/ x y) in y
0.821 * [taylor]: Taking taylor expansion of x in y
0.821 * [backup-simplify]: Simplify x into x
0.821 * [taylor]: Taking taylor expansion of y in y
0.821 * [backup-simplify]: Simplify 0 into 0
0.821 * [backup-simplify]: Simplify 1 into 1
0.821 * [backup-simplify]: Simplify (/ x 1) into x
0.821 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.821 * [taylor]: Taking taylor expansion of x in y
0.821 * [backup-simplify]: Simplify x into x
0.821 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.821 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.821 * [taylor]: Taking taylor expansion of 1/2 in x
0.822 * [backup-simplify]: Simplify 1/2 into 1/2
0.822 * [taylor]: Taking taylor expansion of (/ x y) in x
0.822 * [taylor]: Taking taylor expansion of x in x
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 1 into 1
0.822 * [taylor]: Taking taylor expansion of y in x
0.822 * [backup-simplify]: Simplify y into y
0.822 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.822 * [taylor]: Taking taylor expansion of x in x
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 1 into 1
0.822 * [backup-simplify]: Simplify (/ 1 1) into 1
0.822 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.822 * [taylor]: Taking taylor expansion of 1/2 in x
0.822 * [backup-simplify]: Simplify 1/2 into 1/2
0.822 * [taylor]: Taking taylor expansion of (/ x y) in x
0.822 * [taylor]: Taking taylor expansion of x in x
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 1 into 1
0.822 * [taylor]: Taking taylor expansion of y in x
0.822 * [backup-simplify]: Simplify y into y
0.822 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.822 * [taylor]: Taking taylor expansion of x in x
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 1 into 1
0.822 * [backup-simplify]: Simplify (/ 1 1) into 1
0.823 * [backup-simplify]: Simplify (+ 0 1) into 1
0.823 * [taylor]: Taking taylor expansion of 1 in y
0.823 * [backup-simplify]: Simplify 1 into 1
0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.823 * [backup-simplify]: Simplify (+ 0 0) into 0
0.823 * [taylor]: Taking taylor expansion of 0 in y
0.823 * [backup-simplify]: Simplify 0 into 0
0.823 * [backup-simplify]: Simplify 1 into 1
0.823 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.824 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
0.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.824 * [taylor]: Taking taylor expansion of 1/2 in y
0.824 * [backup-simplify]: Simplify 1/2 into 1/2
0.824 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.824 * [taylor]: Taking taylor expansion of y in y
0.824 * [backup-simplify]: Simplify 0 into 0
0.824 * [backup-simplify]: Simplify 1 into 1
0.824 * [backup-simplify]: Simplify (/ 1 1) into 1
0.825 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.825 * [backup-simplify]: Simplify 1/2 into 1/2
0.825 * [backup-simplify]: Simplify 0 into 0
0.825 * [backup-simplify]: Simplify 0 into 0
0.825 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.826 * [backup-simplify]: Simplify (+ 0 0) into 0
0.826 * [taylor]: Taking taylor expansion of 0 in y
0.826 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.828 * [backup-simplify]: Simplify (+ 0 0) into 0
0.828 * [taylor]: Taking taylor expansion of 0 in y
0.828 * [backup-simplify]: Simplify 0 into 0
0.828 * [backup-simplify]: Simplify 0 into 0
0.828 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.828 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x))
0.828 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.828 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.828 * [taylor]: Taking taylor expansion of 1/2 in y
0.828 * [backup-simplify]: Simplify 1/2 into 1/2
0.828 * [taylor]: Taking taylor expansion of (/ x y) in y
0.828 * [taylor]: Taking taylor expansion of x in y
0.828 * [backup-simplify]: Simplify x into x
0.828 * [taylor]: Taking taylor expansion of y in y
0.828 * [backup-simplify]: Simplify 0 into 0
0.829 * [backup-simplify]: Simplify 1 into 1
0.829 * [backup-simplify]: Simplify (/ x 1) into x
0.829 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.829 * [taylor]: Taking taylor expansion of x in y
0.829 * [backup-simplify]: Simplify x into x
0.829 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.829 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.829 * [taylor]: Taking taylor expansion of 1/2 in x
0.829 * [backup-simplify]: Simplify 1/2 into 1/2
0.829 * [taylor]: Taking taylor expansion of (/ x y) in x
0.829 * [taylor]: Taking taylor expansion of x in x
0.829 * [backup-simplify]: Simplify 0 into 0
0.829 * [backup-simplify]: Simplify 1 into 1
0.829 * [taylor]: Taking taylor expansion of y in x
0.829 * [backup-simplify]: Simplify y into y
0.829 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.829 * [taylor]: Taking taylor expansion of x in x
0.829 * [backup-simplify]: Simplify 0 into 0
0.829 * [backup-simplify]: Simplify 1 into 1
0.829 * [backup-simplify]: Simplify (/ 1 1) into 1
0.829 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.829 * [taylor]: Taking taylor expansion of 1/2 in x
0.829 * [backup-simplify]: Simplify 1/2 into 1/2
0.829 * [taylor]: Taking taylor expansion of (/ x y) in x
0.829 * [taylor]: Taking taylor expansion of x in x
0.829 * [backup-simplify]: Simplify 0 into 0
0.829 * [backup-simplify]: Simplify 1 into 1
0.829 * [taylor]: Taking taylor expansion of y in x
0.829 * [backup-simplify]: Simplify y into y
0.829 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.829 * [taylor]: Taking taylor expansion of x in x
0.829 * [backup-simplify]: Simplify 0 into 0
0.829 * [backup-simplify]: Simplify 1 into 1
0.830 * [backup-simplify]: Simplify (/ 1 1) into 1
0.830 * [backup-simplify]: Simplify (- 1) into -1
0.830 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.830 * [taylor]: Taking taylor expansion of -1 in y
0.830 * [backup-simplify]: Simplify -1 into -1
0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.831 * [backup-simplify]: Simplify (- 0) into 0
0.831 * [backup-simplify]: Simplify (+ 0 0) into 0
0.831 * [taylor]: Taking taylor expansion of 0 in y
0.831 * [backup-simplify]: Simplify 0 into 0
0.831 * [backup-simplify]: Simplify -1 into -1
0.831 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.832 * [backup-simplify]: Simplify (- 0) into 0
0.832 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
0.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.832 * [taylor]: Taking taylor expansion of 1/2 in y
0.832 * [backup-simplify]: Simplify 1/2 into 1/2
0.832 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.832 * [taylor]: Taking taylor expansion of y in y
0.832 * [backup-simplify]: Simplify 0 into 0
0.832 * [backup-simplify]: Simplify 1 into 1
0.832 * [backup-simplify]: Simplify (/ 1 1) into 1
0.833 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.833 * [backup-simplify]: Simplify 1/2 into 1/2
0.833 * [backup-simplify]: Simplify 0 into 0
0.833 * [backup-simplify]: Simplify 0 into 0
0.833 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.834 * [backup-simplify]: Simplify (- 0) into 0
0.834 * [backup-simplify]: Simplify (+ 0 0) into 0
0.834 * [taylor]: Taking taylor expansion of 0 in y
0.834 * [backup-simplify]: Simplify 0 into 0
0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.836 * [backup-simplify]: Simplify (- 0) into 0
0.836 * [backup-simplify]: Simplify (+ 0 0) into 0
0.836 * [taylor]: Taking taylor expansion of 0 in y
0.836 * [backup-simplify]: Simplify 0 into 0
0.836 * [backup-simplify]: Simplify 0 into 0
0.837 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x)))
0.837 * * * [progress]: simplifying candidates
0.837 * [simplify]: Simplifying:
  (* (exp x) (exp (* 1/2 (/ y x))))
  (log (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (+ (pow x 3) (pow (* 1/2 (/ y x)) 3))
  (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x)))))
  (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x))))
  (- x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
0.837 * [simplify]: Sending expressions to egg_math:
 (* (exp h0) (exp (* 1/2 (/ h1 h0))))
 (log (+ h0 (* 1/2 (/ h1 h0))))
 (exp (+ h0 (* 1/2 (/ h1 h0))))
 (* (cbrt (+ h0 (* 1/2 (/ h1 h0)))) (cbrt (+ h0 (* 1/2 (/ h1 h0)))))
 (cbrt (+ h0 (* 1/2 (/ h1 h0))))
 (* (* (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0)))) (+ h0 (* 1/2 (/ h1 h0))))
 (sqrt (+ h0 (* 1/2 (/ h1 h0))))
 (sqrt (+ h0 (* 1/2 (/ h1 h0))))
 (+ (pow h0 3) (pow (* 1/2 (/ h1 h0)) 3))
 (+ (* h0 h0) (- (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0))) (* h0 (* 1/2 (/ h1 h0)))))
 (- (* h0 h0) (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0))))
 (- h0 (* 1/2 (/ h1 h0)))
 (+ h0 (* 1/2 (/ h1 h0)))
 (+ h0 (* 1/2 (/ h1 h0)))
 (+ h0 (* 1/2 (/ h1 h0)))
0.840 * * [simplify]: iteration  0 :  83  enodes  (cost  76 )
0.842 * * [simplify]: iteration  1 :  297  enodes  (cost  69 )
0.849 * * [simplify]: iteration  2 :  1101  enodes  (cost  69 )
0.872 * * [simplify]: iteration  3 :  3891  enodes  (cost  69 )
0.945 * * [simplify]: iteration  4 :  5001  enodes  (cost  69 )
0.946 * * * [progress]: adding candidates to table
0.968 * * [progress]: iteration 4 / 4
0.968 * * * [progress]: picking best candidate
0.969 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.970 * * * [progress]: localizing error
0.975 * * * [progress]: generating rewritten candidates
0.975 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
0.981 * * * [progress]: generating series expansions
0.981 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
0.981 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x)))
0.981 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.981 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.981 * [taylor]: Taking taylor expansion of x in y
0.981 * [backup-simplify]: Simplify x into x
0.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.981 * [taylor]: Taking taylor expansion of 1/2 in y
0.981 * [backup-simplify]: Simplify 1/2 into 1/2
0.981 * [taylor]: Taking taylor expansion of (/ y x) in y
0.981 * [taylor]: Taking taylor expansion of y in y
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [backup-simplify]: Simplify 1 into 1
0.981 * [taylor]: Taking taylor expansion of x in y
0.981 * [backup-simplify]: Simplify x into x
0.981 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.981 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.981 * [taylor]: Taking taylor expansion of x in x
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [backup-simplify]: Simplify 1 into 1
0.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.981 * [taylor]: Taking taylor expansion of 1/2 in x
0.981 * [backup-simplify]: Simplify 1/2 into 1/2
0.981 * [taylor]: Taking taylor expansion of (/ y x) in x
0.981 * [taylor]: Taking taylor expansion of y in x
0.981 * [backup-simplify]: Simplify y into y
0.981 * [taylor]: Taking taylor expansion of x in x
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [backup-simplify]: Simplify 1 into 1
0.982 * [backup-simplify]: Simplify (/ y 1) into y
0.982 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.982 * [taylor]: Taking taylor expansion of x in x
0.982 * [backup-simplify]: Simplify 0 into 0
0.982 * [backup-simplify]: Simplify 1 into 1
0.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.982 * [taylor]: Taking taylor expansion of 1/2 in x
0.982 * [backup-simplify]: Simplify 1/2 into 1/2
0.982 * [taylor]: Taking taylor expansion of (/ y x) in x
0.982 * [taylor]: Taking taylor expansion of y in x
0.982 * [backup-simplify]: Simplify y into y
0.982 * [taylor]: Taking taylor expansion of x in x
0.982 * [backup-simplify]: Simplify 0 into 0
0.982 * [backup-simplify]: Simplify 1 into 1
0.982 * [backup-simplify]: Simplify (/ y 1) into y
0.982 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
0.982 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y)
0.982 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.982 * [taylor]: Taking taylor expansion of 1/2 in y
0.982 * [backup-simplify]: Simplify 1/2 into 1/2
0.982 * [taylor]: Taking taylor expansion of y in y
0.982 * [backup-simplify]: Simplify 0 into 0
0.982 * [backup-simplify]: Simplify 1 into 1
0.982 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.982 * [backup-simplify]: Simplify 0 into 0
0.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
0.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
0.983 * [backup-simplify]: Simplify (+ 0 0) into 0
0.983 * [taylor]: Taking taylor expansion of 0 in y
0.984 * [backup-simplify]: Simplify 0 into 0
0.984 * [backup-simplify]: Simplify 0 into 0
0.984 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.984 * [backup-simplify]: Simplify 1/2 into 1/2
0.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
0.985 * [backup-simplify]: Simplify (+ 1 0) into 1
0.985 * [taylor]: Taking taylor expansion of 1 in y
0.985 * [backup-simplify]: Simplify 1 into 1
0.985 * [backup-simplify]: Simplify 1 into 1
0.986 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
0.986 * [backup-simplify]: Simplify 0 into 0
0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.988 * [backup-simplify]: Simplify (+ 0 0) into 0
0.988 * [taylor]: Taking taylor expansion of 0 in y
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.989 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x)))
0.989 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x))
0.989 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.989 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.989 * [taylor]: Taking taylor expansion of 1/2 in y
0.989 * [backup-simplify]: Simplify 1/2 into 1/2
0.989 * [taylor]: Taking taylor expansion of (/ x y) in y
0.989 * [taylor]: Taking taylor expansion of x in y
0.989 * [backup-simplify]: Simplify x into x
0.989 * [taylor]: Taking taylor expansion of y in y
0.989 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify 1 into 1
0.989 * [backup-simplify]: Simplify (/ x 1) into x
0.989 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.989 * [taylor]: Taking taylor expansion of x in y
0.989 * [backup-simplify]: Simplify x into x
0.989 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.989 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.989 * [taylor]: Taking taylor expansion of 1/2 in x
0.989 * [backup-simplify]: Simplify 1/2 into 1/2
0.989 * [taylor]: Taking taylor expansion of (/ x y) in x
0.989 * [taylor]: Taking taylor expansion of x in x
0.989 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify 1 into 1
0.989 * [taylor]: Taking taylor expansion of y in x
0.989 * [backup-simplify]: Simplify y into y
0.989 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.989 * [taylor]: Taking taylor expansion of x in x
0.989 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify 1 into 1
0.990 * [backup-simplify]: Simplify (/ 1 1) into 1
0.990 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.990 * [taylor]: Taking taylor expansion of 1/2 in x
0.990 * [backup-simplify]: Simplify 1/2 into 1/2
0.990 * [taylor]: Taking taylor expansion of (/ x y) in x
0.990 * [taylor]: Taking taylor expansion of x in x
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [backup-simplify]: Simplify 1 into 1
0.990 * [taylor]: Taking taylor expansion of y in x
0.990 * [backup-simplify]: Simplify y into y
0.990 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.990 * [taylor]: Taking taylor expansion of x in x
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [backup-simplify]: Simplify 1 into 1
0.990 * [backup-simplify]: Simplify (/ 1 1) into 1
0.990 * [backup-simplify]: Simplify (+ 0 1) into 1
0.990 * [taylor]: Taking taylor expansion of 1 in y
0.990 * [backup-simplify]: Simplify 1 into 1
0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.991 * [backup-simplify]: Simplify (+ 0 0) into 0
0.991 * [taylor]: Taking taylor expansion of 0 in y
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify 1 into 1
0.991 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.992 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
0.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.992 * [taylor]: Taking taylor expansion of 1/2 in y
0.992 * [backup-simplify]: Simplify 1/2 into 1/2
0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.992 * [taylor]: Taking taylor expansion of y in y
0.992 * [backup-simplify]: Simplify 0 into 0
0.992 * [backup-simplify]: Simplify 1 into 1
0.992 * [backup-simplify]: Simplify (/ 1 1) into 1
0.992 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.992 * [backup-simplify]: Simplify 1/2 into 1/2
0.992 * [backup-simplify]: Simplify 0 into 0
0.992 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
0.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.994 * [backup-simplify]: Simplify (+ 0 0) into 0
0.994 * [taylor]: Taking taylor expansion of 0 in y
0.994 * [backup-simplify]: Simplify 0 into 0
0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.994 * [backup-simplify]: Simplify 0 into 0
0.994 * [backup-simplify]: Simplify 0 into 0
0.994 * [backup-simplify]: Simplify 0 into 0
0.995 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.996 * [backup-simplify]: Simplify (+ 0 0) into 0
0.996 * [taylor]: Taking taylor expansion of 0 in y
0.996 * [backup-simplify]: Simplify 0 into 0
0.996 * [backup-simplify]: Simplify 0 into 0
0.996 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.996 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x))
0.996 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.996 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.996 * [taylor]: Taking taylor expansion of 1/2 in y
0.996 * [backup-simplify]: Simplify 1/2 into 1/2
0.996 * [taylor]: Taking taylor expansion of (/ x y) in y
0.996 * [taylor]: Taking taylor expansion of x in y
0.996 * [backup-simplify]: Simplify x into x
0.996 * [taylor]: Taking taylor expansion of y in y
0.996 * [backup-simplify]: Simplify 0 into 0
0.996 * [backup-simplify]: Simplify 1 into 1
0.996 * [backup-simplify]: Simplify (/ x 1) into x
0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.996 * [taylor]: Taking taylor expansion of x in y
0.996 * [backup-simplify]: Simplify x into x
0.996 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.996 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.996 * [taylor]: Taking taylor expansion of 1/2 in x
0.996 * [backup-simplify]: Simplify 1/2 into 1/2
0.996 * [taylor]: Taking taylor expansion of (/ x y) in x
0.997 * [taylor]: Taking taylor expansion of x in x
0.997 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify 1 into 1
0.997 * [taylor]: Taking taylor expansion of y in x
0.997 * [backup-simplify]: Simplify y into y
0.997 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.997 * [taylor]: Taking taylor expansion of x in x
0.997 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify 1 into 1
0.997 * [backup-simplify]: Simplify (/ 1 1) into 1
0.997 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.997 * [taylor]: Taking taylor expansion of 1/2 in x
0.997 * [backup-simplify]: Simplify 1/2 into 1/2
0.997 * [taylor]: Taking taylor expansion of (/ x y) in x
0.997 * [taylor]: Taking taylor expansion of x in x
0.997 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify 1 into 1
0.997 * [taylor]: Taking taylor expansion of y in x
0.997 * [backup-simplify]: Simplify y into y
0.997 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.997 * [taylor]: Taking taylor expansion of x in x
0.997 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify 1 into 1
0.997 * [backup-simplify]: Simplify (/ 1 1) into 1
0.998 * [backup-simplify]: Simplify (- 1) into -1
0.998 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.998 * [taylor]: Taking taylor expansion of -1 in y
0.998 * [backup-simplify]: Simplify -1 into -1
0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.998 * [backup-simplify]: Simplify (- 0) into 0
0.999 * [backup-simplify]: Simplify (+ 0 0) into 0
0.999 * [taylor]: Taking taylor expansion of 0 in y
0.999 * [backup-simplify]: Simplify 0 into 0
0.999 * [backup-simplify]: Simplify -1 into -1
0.999 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.999 * [backup-simplify]: Simplify (- 0) into 0
1.000 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
1.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
1.000 * [taylor]: Taking taylor expansion of 1/2 in y
1.000 * [backup-simplify]: Simplify 1/2 into 1/2
1.000 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.000 * [taylor]: Taking taylor expansion of y in y
1.000 * [backup-simplify]: Simplify 0 into 0
1.000 * [backup-simplify]: Simplify 1 into 1
1.000 * [backup-simplify]: Simplify (/ 1 1) into 1
1.000 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.000 * [backup-simplify]: Simplify 1/2 into 1/2
1.000 * [backup-simplify]: Simplify 0 into 0
1.000 * [backup-simplify]: Simplify 0 into 0
1.000 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
1.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
1.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.001 * [backup-simplify]: Simplify (- 0) into 0
1.001 * [backup-simplify]: Simplify (+ 0 0) into 0
1.001 * [taylor]: Taking taylor expansion of 0 in y
1.002 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.002 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify 0 into 0
1.003 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.004 * [backup-simplify]: Simplify (- 0) into 0
1.004 * [backup-simplify]: Simplify (+ 0 0) into 0
1.004 * [taylor]: Taking taylor expansion of 0 in y
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x)))
1.004 * * * [progress]: simplifying candidates
1.005 * [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)))
1.005 * [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)))
1.007 * * [simplify]: iteration  0 :  83  enodes  (cost  76 )
1.010 * * [simplify]: iteration  1 :  297  enodes  (cost  69 )
1.016 * * [simplify]: iteration  2 :  1101  enodes  (cost  69 )
1.038 * * [simplify]: iteration  3 :  3891  enodes  (cost  69 )
1.108 * * [simplify]: iteration  4 :  5001  enodes  (cost  69 )
1.109 * * * [progress]: adding candidates to table
1.131 * [progress]: [Phase 3 of 3] Extracting.
1.132 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.132 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
1.132 * * * * [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)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.149 * * * * [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)))>)
1.159 * * * * [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)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.180 * * * * [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)))>)
1.191 * * * * [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)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.214 * * * * [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)))>)
1.228 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.249 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.273 * * * [regime]: Found split indices: #<option (#s(si 3 44) #s(si 1 200) #s(si 2 255))>
1.273 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.319 * [regimes]: Found splitpoints: (#s(sp 3 x -1.358575356778545e+154) #s(sp 1 x 1.4479473348721725e+133) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.319 * [simplify]: Simplifying:
  (if (<= x -1.358575356778545e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 1.4479473348721725e+133) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
1.319 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 h1) (- (+ h0 (* 1/2 (/ h2 h0)))) (if (<= h0 h3) (sqrt (+ (* h0 h0) h2)) (+ h0 (* 1/2 (/ h2 h0)))))
1.320 * * [simplify]: iteration  0 :  22  enodes  (cost  10 )
1.320 * * [simplify]: iteration  1 :  29  enodes  (cost  10 )
1.320 * * [simplify]: iteration  2 :  31  enodes  (cost  10 )
1.321 * * [simplify]: iteration  3 :  31  enodes  (cost  10 )
1.875 * [regime-testing]: Baseline error score: 21.798890102274648
1.875 * [regime-testing]: Oracle error score: 0.0022715245657510077
1.877 * [regime-testing]: End program error score: 0.02468961296202685
1.908 * [regime-testing]: Target error score: 0.5392597964638878