32.283 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.107 * * * [progress]: [2/2] Setting up program.
0.109 * [progress]: [Phase 2 of 3] Improving.
0.109 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) y))
0.112 * * [simplify]: iteration  0 :  6  enodes  (cost  6 )
0.112 * * [simplify]: iteration  1 :  6  enodes  (cost  6 )
0.112 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.115 * * [progress]: iteration 1 / 4
0.115 * * * [progress]: picking best candidate
0.117 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.117 * * * [progress]: localizing error
0.122 * * * [progress]: generating rewritten candidates
0.122 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.126 * * * [progress]: generating series expansions
0.126 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.126 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.126 * [taylor]: Taking taylor expansion of x in y
0.126 * [taylor]: Taking taylor expansion of y in y
0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.126 * [taylor]: Taking taylor expansion of x in x
0.126 * [taylor]: Taking taylor expansion of y in x
0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.126 * [taylor]: Taking taylor expansion of x in x
0.126 * [taylor]: Taking taylor expansion of y in x
0.127 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.127 * [taylor]: Taking taylor expansion of y in y
0.127 * [taylor]: Taking taylor expansion of 0 in y
0.127 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.127 * [taylor]: Taking taylor expansion of 1/2 in y
0.127 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.127 * [taylor]: Taking taylor expansion of y in y
0.127 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.128 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.128 * [taylor]: Taking taylor expansion of x in y
0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.128 * [taylor]: Taking taylor expansion of y in y
0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.128 * [taylor]: Taking taylor expansion of x in x
0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.128 * [taylor]: Taking taylor expansion of y in x
0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.128 * [taylor]: Taking taylor expansion of x in x
0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.128 * [taylor]: Taking taylor expansion of y in x
0.128 * [taylor]: Taking taylor expansion of 1 in y
0.128 * [taylor]: Taking taylor expansion of 0 in y
0.128 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.128 * [taylor]: Taking taylor expansion of 1/2 in y
0.128 * [taylor]: Taking taylor expansion of y in y
0.129 * [taylor]: Taking taylor expansion of 0 in y
0.129 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.129 * [taylor]: Taking taylor expansion of -1/8 in y
0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.129 * [taylor]: Taking taylor expansion of y in y
0.129 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.129 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.129 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.130 * [taylor]: Taking taylor expansion of x in y
0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.130 * [taylor]: Taking taylor expansion of y in y
0.130 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.130 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.130 * [taylor]: Taking taylor expansion of x in x
0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.130 * [taylor]: Taking taylor expansion of y in x
0.130 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.130 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.130 * [taylor]: Taking taylor expansion of x in x
0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.130 * [taylor]: Taking taylor expansion of y in x
0.130 * [taylor]: Taking taylor expansion of 1 in y
0.130 * [taylor]: Taking taylor expansion of 0 in y
0.130 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.131 * [taylor]: Taking taylor expansion of -1/2 in y
0.131 * [taylor]: Taking taylor expansion of y in y
0.131 * [taylor]: Taking taylor expansion of 0 in y
0.131 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.131 * [taylor]: Taking taylor expansion of -1/8 in y
0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.131 * [taylor]: Taking taylor expansion of y in y
0.131 * * * [progress]: simplifying candidates
0.132 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (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)))
  (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN))))
  (+ x (* 1/2 (/ y x)))
  (neg (+ x (* 1/2 (/ y x))))
0.186 * * [simplify]: iteration  0 :  4926  enodes  (cost  159 )
0.186 * * [simplify]: iteration  1 :  4926  enodes  (cost  159 )
0.187 * [simplify]: Simplified to:
   (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)))
  (pow (sqrt (+ (* x x) y)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  1
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow x 6) (pow y 3)))
  (sqrt (+ (pow x 4) (* y (- y (* x x)))))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (+ (* (* y y) (pow NAN 3)) (* NAN (+ y (* (* x x) 1/2))))
  (+ x (* 1/2 (/ y x)))
  (- (* y (/ -1/2 x)) x)
0.188 * * * [progress]: adding candidates to table
0.213 * * [progress]: iteration 2 / 4
0.214 * * * [progress]: picking best candidate
0.222 * * * * [pick]: Picked  #<alt (λ (x y) (cbrt (pow (sqrt (+ (* x x) y)) 3)))>
0.222 * * * [progress]: localizing error
0.230 * * * [progress]: generating rewritten candidates
0.230 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.236 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
0.240 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.248 * * * [progress]: generating series expansions
0.248 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.248 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.248 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.248 * [taylor]: Taking taylor expansion of x in y
0.248 * [taylor]: Taking taylor expansion of y in y
0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.248 * [taylor]: Taking taylor expansion of x in x
0.248 * [taylor]: Taking taylor expansion of y in x
0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.248 * [taylor]: Taking taylor expansion of x in x
0.248 * [taylor]: Taking taylor expansion of y in x
0.248 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.248 * [taylor]: Taking taylor expansion of y in y
0.249 * [taylor]: Taking taylor expansion of 0 in y
0.249 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.249 * [taylor]: Taking taylor expansion of 1/2 in y
0.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.249 * [taylor]: Taking taylor expansion of y in y
0.249 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.249 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.249 * [taylor]: Taking taylor expansion of x in y
0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.250 * [taylor]: Taking taylor expansion of y in y
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.250 * [taylor]: Taking taylor expansion of x in x
0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.250 * [taylor]: Taking taylor expansion of y in x
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.250 * [taylor]: Taking taylor expansion of x in x
0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.250 * [taylor]: Taking taylor expansion of y in x
0.250 * [taylor]: Taking taylor expansion of 1 in y
0.250 * [taylor]: Taking taylor expansion of 0 in y
0.250 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.250 * [taylor]: Taking taylor expansion of 1/2 in y
0.250 * [taylor]: Taking taylor expansion of y in y
0.251 * [taylor]: Taking taylor expansion of 0 in y
0.251 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.251 * [taylor]: Taking taylor expansion of -1/8 in y
0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.251 * [taylor]: Taking taylor expansion of y in y
0.251 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.251 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.251 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.251 * [taylor]: Taking taylor expansion of x in y
0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.252 * [taylor]: Taking taylor expansion of y in y
0.252 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.252 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.252 * [taylor]: Taking taylor expansion of x in x
0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.252 * [taylor]: Taking taylor expansion of y in x
0.252 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.252 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.252 * [taylor]: Taking taylor expansion of x in x
0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.252 * [taylor]: Taking taylor expansion of y in x
0.252 * [taylor]: Taking taylor expansion of 1 in y
0.252 * [taylor]: Taking taylor expansion of 0 in y
0.252 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.252 * [taylor]: Taking taylor expansion of -1/2 in y
0.252 * [taylor]: Taking taylor expansion of y in y
0.253 * [taylor]: Taking taylor expansion of 0 in y
0.253 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.253 * [taylor]: Taking taylor expansion of -1/8 in y
0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.253 * [taylor]: Taking taylor expansion of y in y
0.253 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
0.253 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.253 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.253 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.253 * [taylor]: Taking taylor expansion of x in y
0.254 * [taylor]: Taking taylor expansion of y in y
0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.254 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.254 * [taylor]: Taking taylor expansion of x in x
0.254 * [taylor]: Taking taylor expansion of y in x
0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.254 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.254 * [taylor]: Taking taylor expansion of x in x
0.254 * [taylor]: Taking taylor expansion of y in x
0.254 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.254 * [taylor]: Taking taylor expansion of y in y
0.254 * [taylor]: Taking taylor expansion of 0 in y
0.254 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.254 * [taylor]: Taking taylor expansion of 1/2 in y
0.254 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.254 * [taylor]: Taking taylor expansion of y in y
0.255 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.255 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.255 * [taylor]: Taking taylor expansion of x in y
0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.255 * [taylor]: Taking taylor expansion of y in y
0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.255 * [taylor]: Taking taylor expansion of x in x
0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.255 * [taylor]: Taking taylor expansion of y in x
0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.255 * [taylor]: Taking taylor expansion of x in x
0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.256 * [taylor]: Taking taylor expansion of y in x
0.256 * [taylor]: Taking taylor expansion of 1 in y
0.256 * [taylor]: Taking taylor expansion of 0 in y
0.256 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.256 * [taylor]: Taking taylor expansion of 1/2 in y
0.256 * [taylor]: Taking taylor expansion of y in y
0.256 * [taylor]: Taking taylor expansion of 0 in y
0.257 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.257 * [taylor]: Taking taylor expansion of -1/8 in y
0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.257 * [taylor]: Taking taylor expansion of y in y
0.257 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.257 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.257 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.257 * [taylor]: Taking taylor expansion of x in y
0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.257 * [taylor]: Taking taylor expansion of y in y
0.257 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.257 * [taylor]: Taking taylor expansion of x in x
0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.257 * [taylor]: Taking taylor expansion of y in x
0.257 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.257 * [taylor]: Taking taylor expansion of x in x
0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.258 * [taylor]: Taking taylor expansion of y in x
0.258 * [taylor]: Taking taylor expansion of 1 in y
0.258 * [taylor]: Taking taylor expansion of 0 in y
0.258 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.258 * [taylor]: Taking taylor expansion of -1/2 in y
0.258 * [taylor]: Taking taylor expansion of y in y
0.258 * [taylor]: Taking taylor expansion of 0 in y
0.259 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.259 * [taylor]: Taking taylor expansion of -1/8 in y
0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.259 * [taylor]: Taking taylor expansion of y in y
0.259 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.259 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in (x y) around 0
0.259 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in y
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.259 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.259 * [taylor]: Taking taylor expansion of x in y
0.259 * [taylor]: Taking taylor expansion of y in y
0.259 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in x
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.259 * [taylor]: Taking taylor expansion of x in x
0.259 * [taylor]: Taking taylor expansion of y in x
0.259 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in x
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.260 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.260 * [taylor]: Taking taylor expansion of x in x
0.260 * [taylor]: Taking taylor expansion of y in x
0.260 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y
0.260 * [taylor]: Taking taylor expansion of (pow y 3) in y
0.260 * [taylor]: Taking taylor expansion of y in y
0.260 * [taylor]: Taking taylor expansion of 0 in y
0.260 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt y)) in y
0.260 * [taylor]: Taking taylor expansion of 3/2 in y
0.260 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.260 * [taylor]: Taking taylor expansion of y in y
0.261 * [taylor]: Taking taylor expansion of 0 in y
0.261 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in (x y) around 0
0.261 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in y
0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.261 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.261 * [taylor]: Taking taylor expansion of x in y
0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.262 * [taylor]: Taking taylor expansion of y in y
0.262 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in x
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.262 * [taylor]: Taking taylor expansion of x in x
0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.262 * [taylor]: Taking taylor expansion of y in x
0.262 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in x
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.262 * [taylor]: Taking taylor expansion of x in x
0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.262 * [taylor]: Taking taylor expansion of y in x
0.262 * [taylor]: Taking taylor expansion of 1 in y
0.262 * [taylor]: Taking taylor expansion of 0 in y
0.263 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y
0.263 * [taylor]: Taking taylor expansion of 3/2 in y
0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.263 * [taylor]: Taking taylor expansion of y in y
0.263 * [taylor]: Taking taylor expansion of 0 in y
0.263 * [approximate]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in (x y) around 0
0.263 * [taylor]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in y
0.263 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.263 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.263 * [taylor]: Taking taylor expansion of x in y
0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.263 * [taylor]: Taking taylor expansion of y in y
0.264 * [taylor]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in x
0.264 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.264 * [taylor]: Taking taylor expansion of x in x
0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.264 * [taylor]: Taking taylor expansion of y in x
0.264 * [taylor]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in x
0.264 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.264 * [taylor]: Taking taylor expansion of x in x
0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.264 * [taylor]: Taking taylor expansion of y in x
0.264 * [taylor]: Taking taylor expansion of 1 in y
0.264 * [taylor]: Taking taylor expansion of 0 in y
0.265 * [taylor]: Taking taylor expansion of (neg (* 3/2 (/ 1 y))) in y
0.265 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y
0.265 * [taylor]: Taking taylor expansion of 3/2 in y
0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.265 * [taylor]: Taking taylor expansion of y in y
0.265 * [taylor]: Taking taylor expansion of 0 in y
0.265 * * * [progress]: simplifying candidates
0.266 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (cbrt (pow (sqrt (+ (* x x) y)) 3)))
  (exp (cbrt (pow (sqrt (+ (* x x) y)) 3)))
  (cbrt (pow (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) 3))
  (cbrt (pow (cbrt (sqrt (+ (* x x) y))) 3))
  (cbrt (pow (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) 3))
  (cbrt (pow (sqrt (cbrt (+ (* x x) y))) 3))
  (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3))
  (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3))
  (cbrt (pow (sqrt 1) 3))
  (cbrt (pow (sqrt (+ (* x x) y)) 3))
  (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3))
  (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3))
  (cbrt (pow 1 3))
  (cbrt (pow (sqrt (+ (* x x) y)) 3))
  (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (cbrt (* (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3))))
  (cbrt (cbrt (pow (sqrt (+ (* x x) y)) 3)))
  (cbrt (pow (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) 3))
  (cbrt (pow (cbrt (sqrt (+ (* x x) y))) 3))
  (cbrt (pow (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) 3))
  (cbrt (pow (sqrt (cbrt (+ (* x x) y))) 3))
  (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3))
  (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3))
  (cbrt (pow (sqrt 1) 3))
  (cbrt (pow (sqrt (+ (* x x) y)) 3))
  (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3))
  (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3))
  (cbrt (pow 1 3))
  (cbrt (pow (sqrt (+ (* x x) y)) 3))
  (cbrt (sqrt (+ (* x x) y)))
  (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))
  (cbrt (sqrt (pow (sqrt (+ (* x x) y)) 3)))
  (cbrt (sqrt (pow (sqrt (+ (* x x) y)) 3)))
  (cbrt 1)
  (cbrt (pow (sqrt (+ (* x x) y)) 3))
  (cbrt (pow (sqrt (+ (* x x) y)) (/ 3 2)))
  (cbrt (pow (sqrt (+ (* x x) y)) (/ 3 2)))
  (cbrt (pow (sqrt (+ (pow (* x x) 3) (pow y 3))) 3))
  (cbrt (pow (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) 3))
  (cbrt (pow (sqrt (- (* (* x x) (* x x)) (* y y))) 3))
  (cbrt (pow (sqrt (- (* x x) y)) 3))
  (* (cbrt (cbrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (cbrt (pow (sqrt (+ (* x x) y)) 3))))
  (cbrt (cbrt (pow (sqrt (+ (* x x) y)) 3)))
  (* (* (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (pow (sqrt (+ (* x x) y)) 3)))
  (sqrt (cbrt (pow (sqrt (+ (* x x) y)) 3)))
  (sqrt (cbrt (pow (sqrt (+ (* x x) y)) 3)))
  (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))) 3)
  (* (log (sqrt (+ (* x x) y))) 3)
  (* 1/2 3)
  (* 1 3)
  (* (/ 1 2) 3)
  (pow (sqrt (+ (* x x) y)) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (+ (* x x) y)) (sqrt 3))
  (pow (sqrt (+ (* x x) y)) 1)
  (pow (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) 3)
  (pow (cbrt (sqrt (+ (* x x) y))) 3)
  (pow (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) 3)
  (pow (sqrt (cbrt (+ (* x x) y))) 3)
  (pow (sqrt (sqrt (+ (* x x) y))) 3)
  (pow (sqrt (sqrt (+ (* x x) y))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (+ (* x x) y)) 3)
  (pow (sqrt (sqrt (+ (* x x) y))) 3)
  (pow (sqrt (sqrt (+ (* x x) y))) 3)
  (pow 1 3)
  (pow (sqrt (+ (* x x) y)) 3)
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (log (pow (sqrt (+ (* x x) y)) 3))
  (exp (pow (sqrt (+ (* x x) y)) 3))
  (* (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3)))
  (cbrt (pow (sqrt (+ (* x x) y)) 3))
  (* (* (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (+ (* x x) y)) 3)) (pow (sqrt (+ (* x x) y)) 3))
  (pow (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) 3)
  (pow (cbrt (sqrt (+ (* x x) y))) 3)
  (pow (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) 3)
  (pow (sqrt (cbrt (+ (* x x) y))) 3)
  (pow (sqrt (sqrt (+ (* x x) y))) 3)
  (pow (sqrt (sqrt (+ (* x x) y))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (+ (* x x) y)) 3)
  (pow (sqrt (sqrt (+ (* x x) y))) 3)
  (pow (sqrt (sqrt (+ (* x x) y))) 3)
  (pow 1 3)
  (pow (sqrt (+ (* x x) y)) 3)
  (pow (sqrt (+ (pow (* x x) 3) (pow y 3))) 3)
  (pow (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) 3)
  (pow (sqrt (- (* (* x x) (* x x)) (* y y))) 3)
  (pow (sqrt (- (* x x) y)) 3)
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (/ 3 2)
  (sqrt (pow (sqrt (+ (* x x) y)) 3))
  (sqrt (pow (sqrt (+ (* x x) y)) 3))
  (pow (sqrt (+ (* x x) y)) (/ 3 2))
  (pow (sqrt (+ (* x x) y)) (/ 3 2))
  (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN))))
  (+ x (* 1/2 (/ y x)))
  (neg (+ x (* 1/2 (/ y x))))
  (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN))))
  (+ x (* 1/2 (/ y x)))
  (neg (+ x (* 1/2 (/ y x))))
  (+ (* 3/2 (* (pow x 2) (* NAN y))) (+ (* (pow NAN 3) (pow y 3)) (* NAN (pow y 2))))
  (pow x 3)
  (* -1 (pow x 3))
0.315 * * [simplify]: iteration  0 :  4937  enodes  (cost  843 )
0.316 * * [simplify]: iteration  1 :  4937  enodes  (cost  843 )
0.319 * [simplify]: Simplified to:
   (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (cbrt (sqrt (+ (* x x) y)))
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (cbrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (cbrt 1)
  (sqrt (+ (* x x) y))
  (cbrt (+ (* x x) y))
  (cbrt (sqrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (cbrt (sqrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (cbrt (sqrt (+ (* x x) y)))
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (cbrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (cbrt 1)
  (sqrt (+ (* x x) y))
  (cbrt (sqrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (cbrt (sqrt (pow (sqrt (+ (* x x) y)) 3)))
  (cbrt (sqrt (pow (sqrt (+ (* x x) y)) 3)))
  (cbrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (+ (pow x 6) (pow y 3)))
  (sqrt (+ (pow x 4) (* y (- y (* x x)))))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (* x x) y))
  (cbrt (+ (* x x) y))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (sqrt (+ (* x x) y)) 3)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (sqrt (+ (* x x) y)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  1
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow x 6) (pow y 3)))
  (sqrt (+ (pow x 4) (* y (- y (* x x)))))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (* 3 (log (sqrt (+ (* x x) y))))
  (* 3 (log (sqrt (+ (* x x) y))))
  3/2
  3
  3/2
  (pow (sqrt (+ (* x x) y)) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (+ (* x x) y)) (sqrt 3))
  (sqrt (+ (* x x) y))
  (+ (* x x) y)
  (sqrt (+ (* x x) y))
  (pow (fabs (cbrt (+ (* x x) y))) 3)
  (pow (sqrt (cbrt (+ (* x x) y))) 3)
  (pow (sqrt (+ (* x x) y)) 3/2)
  (pow (sqrt (+ (* x x) y)) 3/2)
  1
  (pow (sqrt (+ (* x x) y)) 3)
  (pow (sqrt (+ (* x x) y)) 3/2)
  (pow (sqrt (+ (* x x) y)) 3/2)
  1
  (pow (sqrt (+ (* x x) y)) 3)
  (+ (* x x) y)
  (* 3 (log (sqrt (+ (* x x) y))))
  (exp (pow (sqrt (+ (* x x) y)) 3))
  (+ (* x x) y)
  (sqrt (+ (* x x) y))
  (pow (pow (sqrt (+ (* x x) y)) 3) 3)
  (+ (* x x) y)
  (sqrt (+ (* x x) y))
  (pow (fabs (cbrt (+ (* x x) y))) 3)
  (pow (sqrt (cbrt (+ (* x x) y))) 3)
  (pow (sqrt (+ (* x x) y)) 3/2)
  (pow (sqrt (+ (* x x) y)) 3/2)
  1
  (pow (sqrt (+ (* x x) y)) 3)
  (pow (sqrt (+ (* x x) y)) 3/2)
  (pow (sqrt (+ (* x x) y)) 3/2)
  1
  (pow (sqrt (+ (* x x) y)) 3)
  (pow (sqrt (+ (pow x 6) (pow y 3))) 3)
  (pow (sqrt (+ (pow x 4) (* y (- y (* x x))))) 3)
  (pow (sqrt (- (pow x 4) (* y y))) 3)
  (pow (sqrt (- (* x x) y)) 3)
  (+ (* x x) y)
  3/2
  (sqrt (pow (sqrt (+ (* x x) y)) 3))
  (sqrt (pow (sqrt (+ (* x x) y)) 3))
  (pow (sqrt (+ (* x x) y)) 3/2)
  (pow (sqrt (+ (* x x) y)) 3/2)
  (+ (* (* y y) (pow NAN 3)) (* NAN (+ y (* (* x x) 1/2))))
  (+ x (* 1/2 (/ y x)))
  (- (* (/ y x) -1/2) x)
  (+ (* (* y y) (pow NAN 3)) (* NAN (+ y (* (* x x) 1/2))))
  (+ x (* 1/2 (/ y x)))
  (- (* (/ y x) -1/2) x)
  (+ (pow (* y NAN) 3) (* (* y NAN) (+ (* (* x x) 3/2) y)))
  (pow x 3)
  (neg (pow x 3))
0.320 * * * [progress]: adding candidates to table
0.432 * * [progress]: iteration 3 / 4
0.432 * * * [progress]: picking best candidate
0.436 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.436 * * * [progress]: localizing error
0.441 * * * [progress]: generating rewritten candidates
0.441 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2)
0.447 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.451 * * * [progress]: generating series expansions
0.451 * * * * [progress]: [ 1 / 2 ] generating series at (2 2)
0.451 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0
0.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.451 * [taylor]: Taking taylor expansion of 1/2 in x
0.451 * [taylor]: Taking taylor expansion of (/ y x) in x
0.451 * [taylor]: Taking taylor expansion of y in x
0.451 * [taylor]: Taking taylor expansion of x in x
0.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.451 * [taylor]: Taking taylor expansion of 1/2 in y
0.451 * [taylor]: Taking taylor expansion of (/ y x) in y
0.451 * [taylor]: Taking taylor expansion of y in y
0.451 * [taylor]: Taking taylor expansion of x in y
0.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.451 * [taylor]: Taking taylor expansion of 1/2 in y
0.451 * [taylor]: Taking taylor expansion of (/ y x) in y
0.451 * [taylor]: Taking taylor expansion of y in y
0.451 * [taylor]: Taking taylor expansion of x in y
0.451 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.451 * [taylor]: Taking taylor expansion of 1/2 in x
0.451 * [taylor]: Taking taylor expansion of x in x
0.451 * [taylor]: Taking taylor expansion of 0 in x
0.452 * [taylor]: Taking taylor expansion of 0 in x
0.452 * [taylor]: Taking taylor expansion of 0 in x
0.452 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.452 * [taylor]: Taking taylor expansion of 1/2 in x
0.452 * [taylor]: Taking taylor expansion of (/ x y) in x
0.452 * [taylor]: Taking taylor expansion of x in x
0.452 * [taylor]: Taking taylor expansion of y in x
0.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.452 * [taylor]: Taking taylor expansion of 1/2 in y
0.452 * [taylor]: Taking taylor expansion of (/ x y) in y
0.452 * [taylor]: Taking taylor expansion of x in y
0.452 * [taylor]: Taking taylor expansion of y in y
0.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.452 * [taylor]: Taking taylor expansion of 1/2 in y
0.452 * [taylor]: Taking taylor expansion of (/ x y) in y
0.452 * [taylor]: Taking taylor expansion of x in y
0.452 * [taylor]: Taking taylor expansion of y in y
0.452 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.452 * [taylor]: Taking taylor expansion of 1/2 in x
0.452 * [taylor]: Taking taylor expansion of x in x
0.453 * [taylor]: Taking taylor expansion of 0 in x
0.453 * [taylor]: Taking taylor expansion of 0 in x
0.453 * [taylor]: Taking taylor expansion of 0 in x
0.453 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.453 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.453 * [taylor]: Taking taylor expansion of 1/2 in x
0.453 * [taylor]: Taking taylor expansion of (/ x y) in x
0.453 * [taylor]: Taking taylor expansion of x in x
0.453 * [taylor]: Taking taylor expansion of y in x
0.453 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.453 * [taylor]: Taking taylor expansion of 1/2 in y
0.453 * [taylor]: Taking taylor expansion of (/ x y) in y
0.453 * [taylor]: Taking taylor expansion of x in y
0.453 * [taylor]: Taking taylor expansion of y in y
0.453 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.453 * [taylor]: Taking taylor expansion of 1/2 in y
0.453 * [taylor]: Taking taylor expansion of (/ x y) in y
0.453 * [taylor]: Taking taylor expansion of x in y
0.453 * [taylor]: Taking taylor expansion of y in y
0.453 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.453 * [taylor]: Taking taylor expansion of 1/2 in x
0.453 * [taylor]: Taking taylor expansion of x in x
0.454 * [taylor]: Taking taylor expansion of 0 in x
0.454 * [taylor]: Taking taylor expansion of 0 in x
0.454 * [taylor]: Taking taylor expansion of 0 in x
0.454 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.454 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.454 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.454 * [taylor]: Taking taylor expansion of x in y
0.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.454 * [taylor]: Taking taylor expansion of 1/2 in y
0.454 * [taylor]: Taking taylor expansion of (/ y x) in y
0.454 * [taylor]: Taking taylor expansion of y in y
0.454 * [taylor]: Taking taylor expansion of x in y
0.454 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.454 * [taylor]: Taking taylor expansion of x in x
0.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.454 * [taylor]: Taking taylor expansion of 1/2 in x
0.454 * [taylor]: Taking taylor expansion of (/ y x) in x
0.454 * [taylor]: Taking taylor expansion of y in x
0.454 * [taylor]: Taking taylor expansion of x in x
0.454 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.454 * [taylor]: Taking taylor expansion of x in x
0.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.454 * [taylor]: Taking taylor expansion of 1/2 in x
0.454 * [taylor]: Taking taylor expansion of (/ y x) in x
0.454 * [taylor]: Taking taylor expansion of y in x
0.454 * [taylor]: Taking taylor expansion of x in x
0.455 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.455 * [taylor]: Taking taylor expansion of 1/2 in y
0.455 * [taylor]: Taking taylor expansion of y in y
0.455 * [taylor]: Taking taylor expansion of 0 in y
0.455 * [taylor]: Taking taylor expansion of 1 in y
0.455 * [taylor]: Taking taylor expansion of 0 in y
0.455 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.455 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.455 * [taylor]: Taking taylor expansion of 1/2 in y
0.455 * [taylor]: Taking taylor expansion of (/ x y) in y
0.455 * [taylor]: Taking taylor expansion of x in y
0.455 * [taylor]: Taking taylor expansion of y in y
0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.455 * [taylor]: Taking taylor expansion of x in y
0.455 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.455 * [taylor]: Taking taylor expansion of 1/2 in x
0.455 * [taylor]: Taking taylor expansion of (/ x y) in x
0.456 * [taylor]: Taking taylor expansion of x in x
0.456 * [taylor]: Taking taylor expansion of y in x
0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.456 * [taylor]: Taking taylor expansion of x in x
0.456 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.456 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.456 * [taylor]: Taking taylor expansion of 1/2 in x
0.456 * [taylor]: Taking taylor expansion of (/ x y) in x
0.456 * [taylor]: Taking taylor expansion of x in x
0.456 * [taylor]: Taking taylor expansion of y in x
0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.456 * [taylor]: Taking taylor expansion of x in x
0.456 * [taylor]: Taking taylor expansion of 1 in y
0.456 * [taylor]: Taking taylor expansion of 0 in y
0.456 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.456 * [taylor]: Taking taylor expansion of 1/2 in y
0.456 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.456 * [taylor]: Taking taylor expansion of y in y
0.456 * [taylor]: Taking taylor expansion of 0 in y
0.456 * [taylor]: Taking taylor expansion of 0 in y
0.457 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.457 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.457 * [taylor]: Taking taylor expansion of 1/2 in y
0.457 * [taylor]: Taking taylor expansion of (/ x y) in y
0.457 * [taylor]: Taking taylor expansion of x in y
0.457 * [taylor]: Taking taylor expansion of y in y
0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.457 * [taylor]: Taking taylor expansion of x in y
0.457 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.457 * [taylor]: Taking taylor expansion of 1/2 in x
0.457 * [taylor]: Taking taylor expansion of (/ x y) in x
0.457 * [taylor]: Taking taylor expansion of x in x
0.457 * [taylor]: Taking taylor expansion of y in x
0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.457 * [taylor]: Taking taylor expansion of x in x
0.457 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.457 * [taylor]: Taking taylor expansion of 1/2 in x
0.457 * [taylor]: Taking taylor expansion of (/ x y) in x
0.457 * [taylor]: Taking taylor expansion of x in x
0.457 * [taylor]: Taking taylor expansion of y in x
0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.457 * [taylor]: Taking taylor expansion of x in x
0.457 * [taylor]: Taking taylor expansion of (neg 1) in y
0.457 * [taylor]: Taking taylor expansion of 1 in y
0.457 * [taylor]: Taking taylor expansion of 0 in y
0.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.458 * [taylor]: Taking taylor expansion of 1/2 in y
0.458 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.458 * [taylor]: Taking taylor expansion of y in y
0.458 * [taylor]: Taking taylor expansion of 0 in y
0.458 * [taylor]: Taking taylor expansion of 0 in y
0.458 * * * [progress]: simplifying candidates
0.459 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* 1/2 (/ y x))
  (+ (log 1/2) (- (log y) (log x)))
  (+ (log 1/2) (log (/ y x)))
  (log (* 1/2 (/ y x)))
  (exp (* 1/2 (/ y x)))
  (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x)))
  (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x)))
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) 1))
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* 1/2 (/ (sqrt y) 1))
  (* 1/2 (/ 1 (* (cbrt x) (cbrt x))))
  (* 1/2 (/ 1 (sqrt x)))
  (* 1/2 (/ 1 1))
  (* 1/2 1)
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (* (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)))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
0.490 * * [simplify]: iteration  0 :  4999  enodes  (cost  372 )
0.491 * * [simplify]: iteration  1 :  4999  enodes  (cost  372 )
0.492 * [simplify]: Simplified to:
   (* 1/2 (/ y x))
  (log (* 1/2 (/ y x)))
  (log (* 1/2 (/ y x)))
  (log (* 1/2 (/ y x)))
  (sqrt (exp (/ y x)))
  (* 1/8 (pow (/ y x) 3))
  (* 1/8 (pow (/ y x) 3))
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (* 1/8 (pow (/ y x) 3))
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* 1/2 (* (cbrt y) (cbrt y)))
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* 1/2 (sqrt y))
  (/ 1/2 (* (cbrt x) (cbrt x)))
  (/ 1/2 (sqrt x))
  1/2
  1/2
  (* 1/2 y)
  (* (/ y x) (cbrt 1/2))
  (* (/ y x) (sqrt 1/2))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (* (sqrt (exp (/ y x))) (exp x))
  (log (+ x (* 1/2 (/ y x))))
  (* (sqrt (exp (/ y x))) (exp x))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (pow (+ x (* 1/2 (/ y x))) 3)
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (+ (pow x 3) (* 1/8 (pow (/ y x) 3)))
  (+ (* x x) (- (* 1/4 (* (/ y x) (/ y x))) (* 1/2 y)))
  (- (* x x) (* 1/4 (* (/ y x) (/ y x))))
  (- x (* 1/2 (/ y x)))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
0.493 * * * [progress]: adding candidates to table
0.549 * * [progress]: iteration 4 / 4
0.549 * * * [progress]: picking best candidate
0.551 * * * * [pick]: Picked  #<alt (λ (x y) (- (* y (/ -1/2 x)) x))>
0.551 * * * [progress]: localizing error
0.556 * * * [progress]: generating rewritten candidates
0.556 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.564 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.570 * * * [progress]: generating series expansions
0.570 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.570 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0
0.570 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x
0.570 * [taylor]: Taking taylor expansion of -1/2 in x
0.570 * [taylor]: Taking taylor expansion of (/ y x) in x
0.570 * [taylor]: Taking taylor expansion of y in x
0.570 * [taylor]: Taking taylor expansion of x in x
0.570 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y
0.570 * [taylor]: Taking taylor expansion of -1/2 in y
0.570 * [taylor]: Taking taylor expansion of (/ y x) in y
0.570 * [taylor]: Taking taylor expansion of y in y
0.570 * [taylor]: Taking taylor expansion of x in y
0.570 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y
0.570 * [taylor]: Taking taylor expansion of -1/2 in y
0.570 * [taylor]: Taking taylor expansion of (/ y x) in y
0.570 * [taylor]: Taking taylor expansion of y in y
0.570 * [taylor]: Taking taylor expansion of x in y
0.570 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
0.570 * [taylor]: Taking taylor expansion of -1/2 in x
0.570 * [taylor]: Taking taylor expansion of x in x
0.570 * [taylor]: Taking taylor expansion of 0 in x
0.570 * [taylor]: Taking taylor expansion of 0 in x
0.571 * [taylor]: Taking taylor expansion of 0 in x
0.571 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0
0.571 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
0.571 * [taylor]: Taking taylor expansion of -1/2 in x
0.571 * [taylor]: Taking taylor expansion of (/ x y) in x
0.571 * [taylor]: Taking taylor expansion of x in x
0.571 * [taylor]: Taking taylor expansion of y in x
0.571 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
0.571 * [taylor]: Taking taylor expansion of -1/2 in y
0.571 * [taylor]: Taking taylor expansion of (/ x y) in y
0.571 * [taylor]: Taking taylor expansion of x in y
0.571 * [taylor]: Taking taylor expansion of y in y
0.571 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
0.571 * [taylor]: Taking taylor expansion of -1/2 in y
0.571 * [taylor]: Taking taylor expansion of (/ x y) in y
0.571 * [taylor]: Taking taylor expansion of x in y
0.571 * [taylor]: Taking taylor expansion of y in y
0.571 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
0.571 * [taylor]: Taking taylor expansion of -1/2 in x
0.571 * [taylor]: Taking taylor expansion of x in x
0.571 * [taylor]: Taking taylor expansion of 0 in x
0.571 * [taylor]: Taking taylor expansion of 0 in x
0.572 * [taylor]: Taking taylor expansion of 0 in x
0.572 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0
0.572 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
0.572 * [taylor]: Taking taylor expansion of -1/2 in x
0.572 * [taylor]: Taking taylor expansion of (/ x y) in x
0.572 * [taylor]: Taking taylor expansion of x in x
0.572 * [taylor]: Taking taylor expansion of y in x
0.572 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
0.572 * [taylor]: Taking taylor expansion of -1/2 in y
0.572 * [taylor]: Taking taylor expansion of (/ x y) in y
0.572 * [taylor]: Taking taylor expansion of x in y
0.572 * [taylor]: Taking taylor expansion of y in y
0.572 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
0.572 * [taylor]: Taking taylor expansion of -1/2 in y
0.572 * [taylor]: Taking taylor expansion of (/ x y) in y
0.572 * [taylor]: Taking taylor expansion of x in y
0.572 * [taylor]: Taking taylor expansion of y in y
0.572 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
0.572 * [taylor]: Taking taylor expansion of -1/2 in x
0.572 * [taylor]: Taking taylor expansion of x in x
0.572 * [taylor]: Taking taylor expansion of 0 in x
0.572 * [taylor]: Taking taylor expansion of 0 in x
0.573 * [taylor]: Taking taylor expansion of 0 in x
0.573 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.573 * [approximate]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in (y x) around 0
0.573 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in x
0.573 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.573 * [taylor]: Taking taylor expansion of x in x
0.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.573 * [taylor]: Taking taylor expansion of 1/2 in x
0.573 * [taylor]: Taking taylor expansion of (/ y x) in x
0.573 * [taylor]: Taking taylor expansion of y in x
0.573 * [taylor]: Taking taylor expansion of x in x
0.573 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y
0.573 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.573 * [taylor]: Taking taylor expansion of x in y
0.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.573 * [taylor]: Taking taylor expansion of 1/2 in y
0.573 * [taylor]: Taking taylor expansion of (/ y x) in y
0.573 * [taylor]: Taking taylor expansion of y in y
0.573 * [taylor]: Taking taylor expansion of x in y
0.573 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y
0.573 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.573 * [taylor]: Taking taylor expansion of x in y
0.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.573 * [taylor]: Taking taylor expansion of 1/2 in y
0.573 * [taylor]: Taking taylor expansion of (/ y x) in y
0.573 * [taylor]: Taking taylor expansion of y in y
0.573 * [taylor]: Taking taylor expansion of x in y
0.573 * [taylor]: Taking taylor expansion of (neg x) in x
0.573 * [taylor]: Taking taylor expansion of x in x
0.573 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 x))) in x
0.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
0.573 * [taylor]: Taking taylor expansion of 1/2 in x
0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.573 * [taylor]: Taking taylor expansion of x in x
0.574 * [taylor]: Taking taylor expansion of 0 in x
0.574 * [taylor]: Taking taylor expansion of 0 in x
0.574 * [taylor]: Taking taylor expansion of 0 in x
0.574 * [approximate]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0
0.574 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in x
0.574 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.575 * [taylor]: Taking taylor expansion of 1/2 in x
0.575 * [taylor]: Taking taylor expansion of (/ x y) in x
0.575 * [taylor]: Taking taylor expansion of x in x
0.575 * [taylor]: Taking taylor expansion of y in x
0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.575 * [taylor]: Taking taylor expansion of x in x
0.575 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y
0.575 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.575 * [taylor]: Taking taylor expansion of 1/2 in y
0.575 * [taylor]: Taking taylor expansion of (/ x y) in y
0.575 * [taylor]: Taking taylor expansion of x in y
0.575 * [taylor]: Taking taylor expansion of y in y
0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.575 * [taylor]: Taking taylor expansion of x in y
0.575 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y
0.575 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.575 * [taylor]: Taking taylor expansion of 1/2 in y
0.575 * [taylor]: Taking taylor expansion of (/ x y) in y
0.575 * [taylor]: Taking taylor expansion of x in y
0.575 * [taylor]: Taking taylor expansion of y in y
0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.575 * [taylor]: Taking taylor expansion of x in y
0.575 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x
0.575 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.575 * [taylor]: Taking taylor expansion of 1/2 in x
0.575 * [taylor]: Taking taylor expansion of x in x
0.575 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x
0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.575 * [taylor]: Taking taylor expansion of x in x
0.576 * [taylor]: Taking taylor expansion of 0 in x
0.576 * [taylor]: Taking taylor expansion of 0 in x
0.576 * [taylor]: Taking taylor expansion of 0 in x
0.576 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0
0.576 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x
0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.576 * [taylor]: Taking taylor expansion of x in x
0.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.576 * [taylor]: Taking taylor expansion of 1/2 in x
0.577 * [taylor]: Taking taylor expansion of (/ x y) in x
0.577 * [taylor]: Taking taylor expansion of x in x
0.577 * [taylor]: Taking taylor expansion of y in x
0.577 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.577 * [taylor]: Taking taylor expansion of x in y
0.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.577 * [taylor]: Taking taylor expansion of 1/2 in y
0.577 * [taylor]: Taking taylor expansion of (/ x y) in y
0.577 * [taylor]: Taking taylor expansion of x in y
0.577 * [taylor]: Taking taylor expansion of y in y
0.577 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.577 * [taylor]: Taking taylor expansion of x in y
0.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.577 * [taylor]: Taking taylor expansion of 1/2 in y
0.577 * [taylor]: Taking taylor expansion of (/ x y) in y
0.577 * [taylor]: Taking taylor expansion of x in y
0.577 * [taylor]: Taking taylor expansion of y in y
0.577 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x
0.577 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.577 * [taylor]: Taking taylor expansion of 1/2 in x
0.577 * [taylor]: Taking taylor expansion of x in x
0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.577 * [taylor]: Taking taylor expansion of x in x
0.577 * [taylor]: Taking taylor expansion of 0 in x
0.578 * [taylor]: Taking taylor expansion of 0 in x
0.578 * [taylor]: Taking taylor expansion of 0 in x
0.578 * * * [progress]: simplifying candidates
0.579 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* y (/ -1/2 x))
  (+ (log y) (- (log -1/2) (log x)))
  (+ (log y) (log (/ -1/2 x)))
  (log (* y (/ -1/2 x)))
  (exp (* y (/ -1/2 x)))
  (* (* (* y y) y) (/ (* (* -1/2 -1/2) -1/2) (* (* x x) x)))
  (* (* (* y y) y) (* (* (/ -1/2 x) (/ -1/2 x)) (/ -1/2 x)))
  (* (cbrt (* y (/ -1/2 x))) (cbrt (* y (/ -1/2 x))))
  (cbrt (* y (/ -1/2 x)))
  (* (* (* y (/ -1/2 x)) (* y (/ -1/2 x))) (* y (/ -1/2 x)))
  (sqrt (* y (/ -1/2 x)))
  (sqrt (* y (/ -1/2 x)))
  (* (sqrt y) (sqrt (/ -1/2 x)))
  (* (sqrt y) (sqrt (/ -1/2 x)))
  (* (sqrt y) (/ (sqrt -1/2) (sqrt x)))
  (* (sqrt y) (/ (sqrt -1/2) (sqrt x)))
  (* y (* (cbrt (/ -1/2 x)) (cbrt (/ -1/2 x))))
  (* y (sqrt (/ -1/2 x)))
  (* y (/ (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt x) (cbrt x))))
  (* y (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt x)))
  (* y (/ (* (cbrt -1/2) (cbrt -1/2)) 1))
  (* y (/ (sqrt -1/2) (* (cbrt x) (cbrt x))))
  (* y (/ (sqrt -1/2) (sqrt x)))
  (* y (/ (sqrt -1/2) 1))
  (* y (/ 1 (* (cbrt x) (cbrt x))))
  (* y (/ 1 (sqrt x)))
  (* y (/ 1 1))
  (* y 1)
  (* y -1/2)
  (* (cbrt y) (/ -1/2 x))
  (* (sqrt y) (/ -1/2 x))
  (* y (/ -1/2 x))
  (* y -1/2)
  (/ (exp (* y (/ -1/2 x))) (exp x))
  (log (- (* y (/ -1/2 x)) x))
  (exp (- (* y (/ -1/2 x)) x))
  (* (cbrt (- (* y (/ -1/2 x)) x)) (cbrt (- (* y (/ -1/2 x)) x)))
  (cbrt (- (* y (/ -1/2 x)) x))
  (* (* (- (* y (/ -1/2 x)) x) (- (* y (/ -1/2 x)) x)) (- (* y (/ -1/2 x)) x))
  (sqrt (- (* y (/ -1/2 x)) x))
  (sqrt (- (* y (/ -1/2 x)) x))
  (- (pow (* y (/ -1/2 x)) 3) (pow x 3))
  (+ (* (* y (/ -1/2 x)) (* y (/ -1/2 x))) (+ (* x x) (* (* y (/ -1/2 x)) x)))
  (neg x)
  (- (* (* y (/ -1/2 x)) (* y (/ -1/2 x))) (* x x))
  (+ (* y (/ -1/2 x)) x)
  (* -1/2 (/ y x))
  (* -1/2 (/ y x))
  (* -1/2 (/ y x))
  (neg (+ x (* 1/2 (/ y x))))
  (neg (+ x (* 1/2 (/ y x))))
  (neg (+ x (* 1/2 (/ y x))))
0.617 * * [simplify]: iteration  0 :  5315  enodes  (cost  373 )
0.619 * [simplify]: Simplified to:
   (* y (/ -1/2 x))
  (log (* y (/ -1/2 x)))
  (log (* y (/ -1/2 x)))
  (log (* y (/ -1/2 x)))
  (exp (* y (/ -1/2 x)))
  (* -1/8 (pow (/ y x) 3))
  (* -1/8 (pow (/ y x) 3))
  (* (cbrt (* y (/ -1/2 x))) (cbrt (* y (/ -1/2 x))))
  (cbrt (* y (/ -1/2 x)))
  (* -1/8 (pow (/ y x) 3))
  (sqrt (* y (/ -1/2 x)))
  (sqrt (* y (/ -1/2 x)))
  (* (sqrt y) (sqrt (/ -1/2 x)))
  (* (sqrt y) (sqrt (/ -1/2 x)))
  (* (sqrt y) (/ (sqrt -1/2) (sqrt x)))
  (* (sqrt y) (/ (sqrt -1/2) (sqrt x)))
  (* y (* (cbrt (/ -1/2 x)) (cbrt (/ -1/2 x))))
  (* y (sqrt (/ -1/2 x)))
  (* y (/ (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt x) (cbrt x))))
  (* y (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt x)))
  (* y (* (cbrt -1/2) (cbrt -1/2)))
  (* y (/ (sqrt -1/2) (* (cbrt x) (cbrt x))))
  (* y (/ (sqrt -1/2) (sqrt x)))
  (* y (sqrt -1/2))
  (/ y (* (cbrt x) (cbrt x)))
  (/ y (sqrt x))
  y
  y
  (* y -1/2)
  (* (/ -1/2 x) (cbrt y))
  (* (/ -1/2 x) (sqrt y))
  (* y (/ -1/2 x))
  (* y -1/2)
  (exp (- (* y (/ -1/2 x)) x))
  (log (- (* y (/ -1/2 x)) x))
  (exp (- (* y (/ -1/2 x)) x))
  (* (cbrt (- (* y (/ -1/2 x)) x)) (cbrt (- (* y (/ -1/2 x)) x)))
  (cbrt (- (* y (/ -1/2 x)) x))
  (pow (- (* y (/ -1/2 x)) x) 3)
  (sqrt (- (* y (/ -1/2 x)) x))
  (sqrt (- (* y (/ -1/2 x)) x))
  (- (* -1/8 (pow (/ y x) 3)) (pow x 3))
  (+ (* x x) (* y (+ -1/2 (* y (/ 1/4 (* x x))))))
  (neg x)
  (- (* (* y y) (/ 1/4 (* x x))) (* x x))
  (+ x (* y (/ -1/2 x)))
  (* y (/ -1/2 x))
  (* y (/ -1/2 x))
  (* y (/ -1/2 x))
  (- (* y (/ -1/2 x)) x)
  (- (* y (/ -1/2 x)) x)
  (- (* y (/ -1/2 x)) x)
0.619 * * * [progress]: adding candidates to table
0.682 * [progress]: [Phase 3 of 3] Extracting.
0.682 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* y (/ -1/2 x)) x))> #<alt (λ (x y) (cbrt (pow (sqrt (+ (* x x) y)) 3)))>)
0.682 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
0.682 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* y (/ -1/2 x)) x))> #<alt (λ (x y) (cbrt (pow (sqrt (+ (* x x) y)) 3)))>)
0.721 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (cbrt (pow (sqrt (+ (* x x) y)) 3)))>)
0.749 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* y (/ -1/2 x)) x))> #<alt (λ (x y) (cbrt (pow (sqrt (+ (* x x) y)) 3)))>)
0.789 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (cbrt (pow (sqrt (+ (* x x) y)) 3)))>)
0.819 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* y (/ -1/2 x)) x))> #<alt (λ (x y) (cbrt (pow (sqrt (+ (* x x) y)) 3)))>)
0.861 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (cbrt (pow (sqrt (+ (* x x) y)) 3)))>)
0.896 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* y (/ -1/2 x)) x))> #<alt (λ (x y) (cbrt (pow (sqrt (+ (* x x) y)) 3)))>)
0.952 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* y (/ -1/2 x)) x))> #<alt (λ (x y) (cbrt (pow (sqrt (+ (* x x) y)) 3)))>)
1.000 * * * [regime]: Found split indices: #<option (#s(si 2 43) #s(si 0 202) #s(si 1 255))>
1.000 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* y (/ -1/2 x)) x))> #<alt (λ (x y) (cbrt (pow (sqrt (+ (* x x) y)) 3)))>)
1.021 * [regimes]: Found splitpoints: (#s(sp 2 x -1.1516046553453194e+154) #s(sp 0 x 6.947391960525683e+136) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* y (/ -1/2 x)) x))> #<alt (λ (x y) (cbrt (pow (sqrt (+ (* x x) y)) 3)))>)
1.021 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.1516046553453194e+154) (- (* y (/ -1/2 x)) x) (if (<= x 6.947391960525683e+136) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
1.022 * * [simplify]: iteration  0 :  33  enodes  (cost  28 )
1.022 * * [simplify]: iteration  1 :  33  enodes  (cost  28 )
1.022 * [simplify]: Simplified to:
   (if (<= x -1.1516046553453194e+154) (- (* y (/ -1/2 x)) x) (if (<= x 6.947391960525683e+136) (sqrt (+ y (* x x))) (+ x (* 1/2 (/ y x)))))
1.797 * [regime-testing]: End program error score: 0.020800543361071795
1.892 * [regime-testing]: Target error score: 0.4561753730406899