24.426 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.031 * * * [progress]: [2/2] Setting up program.
0.037 * [progress]: [Phase 2 of 3] Improving.
0.037 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) y))
0.040 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.042 * * [simplify]: iteration  1 :  6  enodes  (cost  3 )
0.042 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.042 * * [progress]: iteration 1 / 4
0.042 * * * [progress]: picking best candidate
0.047 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.047 * * * [progress]: localizing error
0.055 * * * [progress]: generating rewritten candidates
0.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.062 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.070 * * * [progress]: generating series expansions
0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.070 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.070 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.070 * [taylor]: Taking taylor expansion of x in y
0.070 * [taylor]: Taking taylor expansion of y in y
0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.071 * [taylor]: Taking taylor expansion of x in x
0.071 * [taylor]: Taking taylor expansion of y in x
0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.072 * [taylor]: Taking taylor expansion of x in x
0.072 * [taylor]: Taking taylor expansion of y in x
0.073 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.073 * [taylor]: Taking taylor expansion of y in y
0.074 * [taylor]: Taking taylor expansion of 0 in y
0.076 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.076 * [taylor]: Taking taylor expansion of 1/2 in y
0.076 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.076 * [taylor]: Taking taylor expansion of y in y
0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.085 * [taylor]: Taking taylor expansion of x in y
0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.085 * [taylor]: Taking taylor expansion of y in y
0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.086 * [taylor]: Taking taylor expansion of x in x
0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.087 * [taylor]: Taking taylor expansion of y in x
0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
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 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.089 * [taylor]: Taking taylor expansion of y in x
0.091 * [taylor]: Taking taylor expansion of 1 in y
0.091 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.093 * [taylor]: Taking taylor expansion of 1/2 in y
0.093 * [taylor]: Taking taylor expansion of y in y
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.097 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.097 * [taylor]: Taking taylor expansion of -1/8 in y
0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.097 * [taylor]: Taking taylor expansion of y in y
0.099 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.099 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.099 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.099 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.099 * [taylor]: Taking taylor expansion of x in y
0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.099 * [taylor]: Taking taylor expansion of y in y
0.101 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.101 * [taylor]: Taking taylor expansion of x in x
0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.102 * [taylor]: Taking taylor expansion of y in x
0.104 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.104 * [taylor]: Taking taylor expansion of x in x
0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.104 * [taylor]: Taking taylor expansion of y in x
0.106 * [taylor]: Taking taylor expansion of 1 in y
0.106 * [taylor]: Taking taylor expansion of 0 in y
0.108 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.108 * [taylor]: Taking taylor expansion of -1/2 in y
0.108 * [taylor]: Taking taylor expansion of y in y
0.110 * [taylor]: Taking taylor expansion of 0 in y
0.113 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.113 * [taylor]: Taking taylor expansion of -1/8 in y
0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.113 * [taylor]: Taking taylor expansion of y in y
0.114 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.114 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.114 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.114 * [taylor]: Taking taylor expansion of x in y
0.115 * [taylor]: Taking taylor expansion of y in y
0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.115 * [taylor]: Taking taylor expansion of x in x
0.115 * [taylor]: Taking taylor expansion of y in x
0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.115 * [taylor]: Taking taylor expansion of x in x
0.115 * [taylor]: Taking taylor expansion of y in x
0.115 * [taylor]: Taking taylor expansion of y in y
0.115 * [taylor]: Taking taylor expansion of 0 in y
0.116 * [taylor]: Taking taylor expansion of 1 in y
0.116 * [taylor]: Taking taylor expansion of 0 in y
0.116 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.116 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.116 * [taylor]: Taking taylor expansion of x in y
0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.117 * [taylor]: Taking taylor expansion of y in y
0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.117 * [taylor]: Taking taylor expansion of x in x
0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.117 * [taylor]: Taking taylor expansion of y in x
0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.117 * [taylor]: Taking taylor expansion of x in x
0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.121 * [taylor]: Taking taylor expansion of y in x
0.122 * [taylor]: Taking taylor expansion of 1 in y
0.122 * [taylor]: Taking taylor expansion of 0 in y
0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.123 * [taylor]: Taking taylor expansion of y in y
0.125 * [taylor]: Taking taylor expansion of 0 in y
0.127 * [taylor]: Taking taylor expansion of 0 in y
0.127 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.127 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.127 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.127 * [taylor]: Taking taylor expansion of x in y
0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.127 * [taylor]: Taking taylor expansion of y in y
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 (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
0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.129 * [taylor]: Taking taylor expansion of y in x
0.129 * [taylor]: Taking taylor expansion of 1 in y
0.130 * [taylor]: Taking taylor expansion of 0 in y
0.131 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y
0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.131 * [taylor]: Taking taylor expansion of y in y
0.133 * [taylor]: Taking taylor expansion of 0 in y
0.135 * [taylor]: Taking taylor expansion of 0 in y
0.135 * * * [progress]: simplifying candidates
0.136 * [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)))
  (* (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)
  (+ (* (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 x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
0.139 * * [simplify]: iteration  0 :  139  enodes  (cost  151 )
0.141 * * [simplify]: iteration  1 :  485  enodes  (cost  141 )
0.149 * * [simplify]: iteration  2 :  1555  enodes  (cost  139 )
0.181 * * [simplify]: iteration  3 :  5002  enodes  (cost  138 )
0.182 * [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 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) y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (pow (+ (* x x) y) 3)
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (- (+ (pow x 4) (pow y 2)) (* (* x x) y))
  (- (pow x 4) (pow y 2))
  (- (* x x) y)
  (* NAN (+ (* (* NAN NAN) (pow y 2)) (+ (* 1/2 (pow x 2)) y)))
  (+ x (* 1/2 (/ y x)))
  (- (* -1/2 (/ y x)) x)
  (+ (* x x) y)
  (+ (* x x) y)
  (+ (* x x) y)
0.182 * * * [progress]: adding candidates to table
0.267 * * [progress]: iteration 2 / 4
0.267 * * * [progress]: picking best candidate
0.278 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.278 * * * [progress]: localizing error
0.283 * * * [progress]: generating rewritten candidates
0.283 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.286 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
0.294 * * * [progress]: generating series expansions
0.294 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.294 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.294 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.294 * [taylor]: Taking taylor expansion of x in y
0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.294 * [taylor]: Taking taylor expansion of 1/2 in y
0.294 * [taylor]: Taking taylor expansion of (/ y x) in y
0.294 * [taylor]: Taking taylor expansion of y in y
0.294 * [taylor]: Taking taylor expansion of x in y
0.294 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.294 * [taylor]: Taking taylor expansion of x in x
0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.294 * [taylor]: Taking taylor expansion of 1/2 in x
0.294 * [taylor]: Taking taylor expansion of (/ y x) in x
0.294 * [taylor]: Taking taylor expansion of y in x
0.294 * [taylor]: Taking taylor expansion of x in x
0.294 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.294 * [taylor]: Taking taylor expansion of x in x
0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.294 * [taylor]: Taking taylor expansion of 1/2 in x
0.294 * [taylor]: Taking taylor expansion of (/ y x) in x
0.294 * [taylor]: Taking taylor expansion of y in x
0.294 * [taylor]: Taking taylor expansion of x in x
0.294 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.294 * [taylor]: Taking taylor expansion of 1/2 in y
0.294 * [taylor]: Taking taylor expansion of y in y
0.296 * [taylor]: Taking taylor expansion of 0 in y
0.298 * [taylor]: Taking taylor expansion of 1 in y
0.300 * [taylor]: Taking taylor expansion of 0 in y
0.301 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.301 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.301 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.301 * [taylor]: Taking taylor expansion of 1/2 in y
0.301 * [taylor]: Taking taylor expansion of (/ x y) in y
0.301 * [taylor]: Taking taylor expansion of x in y
0.301 * [taylor]: Taking taylor expansion of y in y
0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.301 * [taylor]: Taking taylor expansion of x in y
0.301 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.301 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.301 * [taylor]: Taking taylor expansion of 1/2 in x
0.301 * [taylor]: Taking taylor expansion of (/ x y) in x
0.301 * [taylor]: Taking taylor expansion of x in x
0.301 * [taylor]: Taking taylor expansion of y in x
0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.301 * [taylor]: Taking taylor expansion of x in x
0.302 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.302 * [taylor]: Taking taylor expansion of 1/2 in x
0.302 * [taylor]: Taking taylor expansion of (/ x y) in x
0.302 * [taylor]: Taking taylor expansion of x in x
0.302 * [taylor]: Taking taylor expansion of y in x
0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.302 * [taylor]: Taking taylor expansion of x in x
0.302 * [taylor]: Taking taylor expansion of 1 in y
0.303 * [taylor]: Taking taylor expansion of 0 in y
0.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.303 * [taylor]: Taking taylor expansion of 1/2 in y
0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.304 * [taylor]: Taking taylor expansion of y in y
0.305 * [taylor]: Taking taylor expansion of 0 in y
0.307 * [taylor]: Taking taylor expansion of 0 in y
0.307 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.307 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.307 * [taylor]: Taking taylor expansion of 1/2 in y
0.307 * [taylor]: Taking taylor expansion of (/ x y) in y
0.307 * [taylor]: Taking taylor expansion of x in y
0.308 * [taylor]: Taking taylor expansion of y in y
0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.308 * [taylor]: Taking taylor expansion of x in y
0.308 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.308 * [taylor]: Taking taylor expansion of 1/2 in x
0.308 * [taylor]: Taking taylor expansion of (/ x y) in x
0.308 * [taylor]: Taking taylor expansion of x in x
0.308 * [taylor]: Taking taylor expansion of y in x
0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.308 * [taylor]: Taking taylor expansion of x in x
0.308 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.308 * [taylor]: Taking taylor expansion of 1/2 in x
0.308 * [taylor]: Taking taylor expansion of (/ x y) in x
0.308 * [taylor]: Taking taylor expansion of x in x
0.308 * [taylor]: Taking taylor expansion of y in x
0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.308 * [taylor]: Taking taylor expansion of x in x
0.309 * [taylor]: Taking taylor expansion of -1 in y
0.310 * [taylor]: Taking taylor expansion of 0 in y
0.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.310 * [taylor]: Taking taylor expansion of 1/2 in y
0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.311 * [taylor]: Taking taylor expansion of y in y
0.312 * [taylor]: Taking taylor expansion of 0 in y
0.317 * [taylor]: Taking taylor expansion of 0 in y
0.317 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
0.317 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0
0.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.318 * [taylor]: Taking taylor expansion of 1/2 in x
0.318 * [taylor]: Taking taylor expansion of (/ y x) in x
0.318 * [taylor]: Taking taylor expansion of y in x
0.318 * [taylor]: Taking taylor expansion of x in x
0.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.318 * [taylor]: Taking taylor expansion of 1/2 in y
0.318 * [taylor]: Taking taylor expansion of (/ y x) in y
0.318 * [taylor]: Taking taylor expansion of y in y
0.318 * [taylor]: Taking taylor expansion of x in y
0.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.318 * [taylor]: Taking taylor expansion of 1/2 in y
0.318 * [taylor]: Taking taylor expansion of (/ y x) in y
0.318 * [taylor]: Taking taylor expansion of y in y
0.318 * [taylor]: Taking taylor expansion of x in y
0.318 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.318 * [taylor]: Taking taylor expansion of 1/2 in x
0.318 * [taylor]: Taking taylor expansion of x in x
0.319 * [taylor]: Taking taylor expansion of 0 in x
0.320 * [taylor]: Taking taylor expansion of 0 in x
0.321 * [taylor]: Taking taylor expansion of 0 in x
0.322 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.322 * [taylor]: Taking taylor expansion of 1/2 in x
0.322 * [taylor]: Taking taylor expansion of (/ x y) in x
0.322 * [taylor]: Taking taylor expansion of x in x
0.322 * [taylor]: Taking taylor expansion of y in x
0.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.322 * [taylor]: Taking taylor expansion of 1/2 in y
0.322 * [taylor]: Taking taylor expansion of (/ x y) in y
0.322 * [taylor]: Taking taylor expansion of x in y
0.322 * [taylor]: Taking taylor expansion of y in y
0.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.322 * [taylor]: Taking taylor expansion of 1/2 in y
0.322 * [taylor]: Taking taylor expansion of (/ x y) in y
0.322 * [taylor]: Taking taylor expansion of x in y
0.322 * [taylor]: Taking taylor expansion of y in y
0.322 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.322 * [taylor]: Taking taylor expansion of 1/2 in x
0.322 * [taylor]: Taking taylor expansion of x in x
0.323 * [taylor]: Taking taylor expansion of 0 in x
0.325 * [taylor]: Taking taylor expansion of 0 in x
0.327 * [taylor]: Taking taylor expansion of 0 in x
0.328 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.328 * [taylor]: Taking taylor expansion of 1/2 in x
0.328 * [taylor]: Taking taylor expansion of (/ x y) in x
0.328 * [taylor]: Taking taylor expansion of x in x
0.328 * [taylor]: Taking taylor expansion of y in x
0.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.328 * [taylor]: Taking taylor expansion of 1/2 in y
0.328 * [taylor]: Taking taylor expansion of (/ x y) in y
0.328 * [taylor]: Taking taylor expansion of x in y
0.328 * [taylor]: Taking taylor expansion of y in y
0.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.328 * [taylor]: Taking taylor expansion of 1/2 in y
0.328 * [taylor]: Taking taylor expansion of (/ x y) in y
0.328 * [taylor]: Taking taylor expansion of x in y
0.328 * [taylor]: Taking taylor expansion of y in y
0.328 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.328 * [taylor]: Taking taylor expansion of 1/2 in x
0.328 * [taylor]: Taking taylor expansion of x in x
0.329 * [taylor]: Taking taylor expansion of 0 in x
0.331 * [taylor]: Taking taylor expansion of 0 in x
0.333 * [taylor]: Taking taylor expansion of 0 in x
0.334 * * * [progress]: simplifying candidates
0.334 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (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))
  (+ (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)
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.338 * * [simplify]: iteration  0 :  223  enodes  (cost  199 )
0.342 * * [simplify]: iteration  1 :  960  enodes  (cost  186 )
0.362 * * [simplify]: iteration  2 :  4224  enodes  (cost  186 )
0.433 * * [simplify]: iteration  3 :  5001  enodes  (cost  186 )
0.435 * [simplify]: Simplified to:
   (exp (+ x (* 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))))
  (pow (+ x (* 1/2 (/ y x))) 3)
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (+ (pow x 3) (pow (* 1/2 (/ y x)) 3))
  (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x))
  (+ (* -1/4 (* (/ y x) (/ y x))) (* x x))
  (- x (* 1/2 (/ y x)))
  (* 1/2 (/ y x))
  (log (* 1/2 (/ y x)))
  (log (* 1/2 (/ y x)))
  (log (* 1/2 (/ y x)))
  (exp (* 1/2 (/ y x)))
  (pow (* 1/2 (/ y x)) 3)
  (pow (* 1/2 (/ y x)) 3)
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (pow (* 1/2 (/ 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)))
  (* (* (cbrt y) (cbrt y)) 1/2)
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* (sqrt y) 1/2)
  (/ 1/2 (* (cbrt x) (cbrt x)))
  (/ 1/2 (sqrt x))
  1/2
  1/2
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 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)))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.435 * * * [progress]: adding candidates to table
0.543 * * [progress]: iteration 3 / 4
0.543 * * * [progress]: picking best candidate
0.553 * * * * [pick]: Picked  #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>
0.553 * * * [progress]: localizing error
0.558 * * * [progress]: generating rewritten candidates
0.558 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.563 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.571 * * * [progress]: generating series expansions
0.571 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.571 * [approximate]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in (y x) around 0
0.571 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in x
0.571 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.571 * [taylor]: Taking taylor expansion of x in x
0.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.571 * [taylor]: Taking taylor expansion of 1/2 in x
0.571 * [taylor]: Taking taylor expansion of (/ y x) in x
0.572 * [taylor]: Taking taylor expansion of y in x
0.572 * [taylor]: Taking taylor expansion of x in x
0.572 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y
0.572 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.572 * [taylor]: Taking taylor expansion of x in y
0.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.572 * [taylor]: Taking taylor expansion of 1/2 in y
0.572 * [taylor]: Taking taylor expansion of (/ y x) in y
0.572 * [taylor]: Taking taylor expansion of y in y
0.572 * [taylor]: Taking taylor expansion of x in y
0.572 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y
0.572 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.572 * [taylor]: Taking taylor expansion of x in y
0.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.572 * [taylor]: Taking taylor expansion of 1/2 in y
0.572 * [taylor]: Taking taylor expansion of (/ y x) in y
0.572 * [taylor]: Taking taylor expansion of y in y
0.572 * [taylor]: Taking taylor expansion of x in y
0.572 * [taylor]: Taking taylor expansion of (neg x) in x
0.572 * [taylor]: Taking taylor expansion of x in x
0.572 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 x))) in x
0.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
0.572 * [taylor]: Taking taylor expansion of 1/2 in x
0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.572 * [taylor]: Taking taylor expansion of x in x
0.577 * [taylor]: Taking taylor expansion of 0 in x
0.579 * [taylor]: Taking taylor expansion of 0 in x
0.582 * [taylor]: Taking taylor expansion of 0 in x
0.584 * [approximate]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0
0.584 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in x
0.584 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.584 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.584 * [taylor]: Taking taylor expansion of 1/2 in x
0.584 * [taylor]: Taking taylor expansion of (/ x y) in x
0.584 * [taylor]: Taking taylor expansion of x in x
0.584 * [taylor]: Taking taylor expansion of y in x
0.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.584 * [taylor]: Taking taylor expansion of x in x
0.584 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y
0.584 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.584 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.584 * [taylor]: Taking taylor expansion of 1/2 in y
0.584 * [taylor]: Taking taylor expansion of (/ x y) in y
0.584 * [taylor]: Taking taylor expansion of x in y
0.584 * [taylor]: Taking taylor expansion of y in y
0.584 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.584 * [taylor]: Taking taylor expansion of x in y
0.584 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y
0.584 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.584 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.584 * [taylor]: Taking taylor expansion of 1/2 in y
0.584 * [taylor]: Taking taylor expansion of (/ x y) in y
0.585 * [taylor]: Taking taylor expansion of x in y
0.585 * [taylor]: Taking taylor expansion of y in y
0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.585 * [taylor]: Taking taylor expansion of x in y
0.585 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x
0.585 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.585 * [taylor]: Taking taylor expansion of 1/2 in x
0.585 * [taylor]: Taking taylor expansion of x in x
0.586 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x
0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.586 * [taylor]: Taking taylor expansion of x in x
0.588 * [taylor]: Taking taylor expansion of 0 in x
0.592 * [taylor]: Taking taylor expansion of 0 in x
0.596 * [taylor]: Taking taylor expansion of 0 in x
0.598 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0
0.598 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x
0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.598 * [taylor]: Taking taylor expansion of x in x
0.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.598 * [taylor]: Taking taylor expansion of 1/2 in x
0.598 * [taylor]: Taking taylor expansion of (/ x y) in x
0.598 * [taylor]: Taking taylor expansion of x in x
0.598 * [taylor]: Taking taylor expansion of y in x
0.598 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.598 * [taylor]: Taking taylor expansion of x in y
0.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.598 * [taylor]: Taking taylor expansion of 1/2 in y
0.598 * [taylor]: Taking taylor expansion of (/ x y) in y
0.598 * [taylor]: Taking taylor expansion of x in y
0.598 * [taylor]: Taking taylor expansion of y in y
0.598 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.598 * [taylor]: Taking taylor expansion of x in y
0.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.598 * [taylor]: Taking taylor expansion of 1/2 in y
0.598 * [taylor]: Taking taylor expansion of (/ x y) in y
0.598 * [taylor]: Taking taylor expansion of x in y
0.598 * [taylor]: Taking taylor expansion of y in y
0.598 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x
0.598 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.598 * [taylor]: Taking taylor expansion of 1/2 in x
0.599 * [taylor]: Taking taylor expansion of x in x
0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.600 * [taylor]: Taking taylor expansion of x in x
0.602 * [taylor]: Taking taylor expansion of 0 in x
0.605 * [taylor]: Taking taylor expansion of 0 in x
0.610 * [taylor]: Taking taylor expansion of 0 in x
0.610 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.610 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0
0.610 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x
0.610 * [taylor]: Taking taylor expansion of -1/2 in x
0.611 * [taylor]: Taking taylor expansion of (/ y x) in x
0.611 * [taylor]: Taking taylor expansion of y in x
0.611 * [taylor]: Taking taylor expansion of x in x
0.611 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y
0.611 * [taylor]: Taking taylor expansion of -1/2 in y
0.611 * [taylor]: Taking taylor expansion of (/ y x) in y
0.611 * [taylor]: Taking taylor expansion of y in y
0.611 * [taylor]: Taking taylor expansion of x in y
0.611 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y
0.611 * [taylor]: Taking taylor expansion of -1/2 in y
0.611 * [taylor]: Taking taylor expansion of (/ y x) in y
0.611 * [taylor]: Taking taylor expansion of y in y
0.611 * [taylor]: Taking taylor expansion of x in y
0.611 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
0.611 * [taylor]: Taking taylor expansion of -1/2 in x
0.611 * [taylor]: Taking taylor expansion of x in x
0.612 * [taylor]: Taking taylor expansion of 0 in x
0.613 * [taylor]: Taking taylor expansion of 0 in x
0.614 * [taylor]: Taking taylor expansion of 0 in x
0.615 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0
0.615 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
0.615 * [taylor]: Taking taylor expansion of -1/2 in x
0.615 * [taylor]: Taking taylor expansion of (/ x y) in x
0.615 * [taylor]: Taking taylor expansion of x in x
0.615 * [taylor]: Taking taylor expansion of y in x
0.615 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
0.615 * [taylor]: Taking taylor expansion of -1/2 in y
0.615 * [taylor]: Taking taylor expansion of (/ x y) in y
0.615 * [taylor]: Taking taylor expansion of x in y
0.615 * [taylor]: Taking taylor expansion of y in y
0.615 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
0.615 * [taylor]: Taking taylor expansion of -1/2 in y
0.615 * [taylor]: Taking taylor expansion of (/ x y) in y
0.615 * [taylor]: Taking taylor expansion of x in y
0.615 * [taylor]: Taking taylor expansion of y in y
0.615 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
0.615 * [taylor]: Taking taylor expansion of -1/2 in x
0.615 * [taylor]: Taking taylor expansion of x in x
0.617 * [taylor]: Taking taylor expansion of 0 in x
0.618 * [taylor]: Taking taylor expansion of 0 in x
0.621 * [taylor]: Taking taylor expansion of 0 in x
0.621 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0
0.621 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
0.621 * [taylor]: Taking taylor expansion of -1/2 in x
0.621 * [taylor]: Taking taylor expansion of (/ x y) in x
0.621 * [taylor]: Taking taylor expansion of x in x
0.621 * [taylor]: Taking taylor expansion of y in x
0.621 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
0.621 * [taylor]: Taking taylor expansion of -1/2 in y
0.621 * [taylor]: Taking taylor expansion of (/ x y) in y
0.621 * [taylor]: Taking taylor expansion of x in y
0.621 * [taylor]: Taking taylor expansion of y in y
0.621 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
0.621 * [taylor]: Taking taylor expansion of -1/2 in y
0.621 * [taylor]: Taking taylor expansion of (/ x y) in y
0.621 * [taylor]: Taking taylor expansion of x in y
0.621 * [taylor]: Taking taylor expansion of y in y
0.621 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
0.621 * [taylor]: Taking taylor expansion of -1/2 in x
0.621 * [taylor]: Taking taylor expansion of x in x
0.623 * [taylor]: Taking taylor expansion of 0 in x
0.625 * [taylor]: Taking taylor expansion of 0 in x
0.627 * [taylor]: Taking taylor expansion of 0 in x
0.627 * * * [progress]: simplifying candidates
0.628 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (/ (exp (* -1/2 (/ y x))) (exp x))
  (log (- (* -1/2 (/ y x)) x))
  (exp (- (* -1/2 (/ y x)) x))
  (* (cbrt (- (* -1/2 (/ y x)) x)) (cbrt (- (* -1/2 (/ y x)) x)))
  (cbrt (- (* -1/2 (/ y x)) x))
  (* (* (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x)) (- (* -1/2 (/ y x)) x))
  (sqrt (- (* -1/2 (/ y x)) x))
  (sqrt (- (* -1/2 (/ y x)) x))
  (- (pow (* -1/2 (/ y x)) 3) (pow x 3))
  (+ (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (+ (* x x) (* (* -1/2 (/ y x)) x)))
  (neg x)
  (- (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* x x))
  (+ (* -1/2 (/ y x)) x)
  (neg x)
  (* -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)
  (neg (+ x (* 1/2 (/ y x))))
  (neg (+ x (* 1/2 (/ y x))))
  (neg (+ x (* 1/2 (/ y x))))
  (* -1/2 (/ y x))
  (* -1/2 (/ y x))
  (* -1/2 (/ y x))
0.632 * * [simplify]: iteration  0 :  219  enodes  (cost  205 )
0.637 * * [simplify]: iteration  1 :  893  enodes  (cost  190 )
0.657 * * [simplify]: iteration  2 :  4202  enodes  (cost  189 )
0.722 * * [simplify]: iteration  3 :  5003  enodes  (cost  189 )
0.723 * [simplify]: Simplified to:
   (exp (- (* -1/2 (/ y x)) x))
  (log (- (* -1/2 (/ y x)) x))
  (exp (- (* -1/2 (/ y x)) x))
  (* (cbrt (- (* -1/2 (/ y x)) x)) (cbrt (- (* -1/2 (/ y x)) x)))
  (cbrt (- (* -1/2 (/ y x)) x))
  (pow (- (* -1/2 (/ y x)) x) 3)
  (sqrt (- (* -1/2 (/ y x)) x))
  (sqrt (- (* -1/2 (/ y x)) x))
  (- (pow (* -1/2 (/ y x)) 3) (pow x 3))
  (+ (* (* -1/2 (/ y x)) (+ (* -1/2 (/ y x)) x)) (* x x))
  (neg x)
  (- (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* x x))
  (+ (* -1/2 (/ y x)) x)
  (neg x)
  (* -1/2 (/ y x))
  (log (* -1/2 (/ y x)))
  (log (* -1/2 (/ y x)))
  (log (* -1/2 (/ y x)))
  (exp (* -1/2 (/ y x)))
  (pow (* -1/2 (/ y x)) 3)
  (pow (* -1/2 (/ y x)) 3)
  (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x))))
  (cbrt (* -1/2 (/ y x)))
  (pow (* -1/2 (/ 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)))
  (* (* (cbrt y) (cbrt y)) -1/2)
  (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* -1/2 (/ (sqrt y) (sqrt x)))
  (* (sqrt y) -1/2)
  (/ -1/2 (* (cbrt x) (cbrt x)))
  (/ -1/2 (sqrt x))
  -1/2
  -1/2
  (* -1/2 y)
  (* (cbrt -1/2) (/ y x))
  (* (sqrt -1/2) (/ y x))
  (* -1/2 (/ y x))
  (* -1/2 y)
  (- (* -1/2 (/ y x)) x)
  (- (* -1/2 (/ y x)) x)
  (- (* -1/2 (/ y x)) x)
  (* -1/2 (/ y x))
  (* -1/2 (/ y x))
  (* -1/2 (/ y x))
0.724 * * * [progress]: adding candidates to table
0.829 * * [progress]: iteration 4 / 4
0.829 * * * [progress]: picking best candidate
0.835 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))>
0.835 * * * [progress]: localizing error
0.846 * * * [progress]: generating rewritten candidates
0.847 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
0.861 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
0.877 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
0.900 * * * [progress]: generating series expansions
0.900 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
0.900 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in (x y) around 0
0.900 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y
0.900 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y
0.900 * [taylor]: Taking taylor expansion of (pow x 4) in y
0.900 * [taylor]: Taking taylor expansion of x in y
0.900 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.900 * [taylor]: Taking taylor expansion of y in y
0.900 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y
0.900 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.900 * [taylor]: Taking taylor expansion of x in y
0.900 * [taylor]: Taking taylor expansion of y in y
0.901 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x
0.901 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x
0.901 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.901 * [taylor]: Taking taylor expansion of x in x
0.901 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.901 * [taylor]: Taking taylor expansion of y in x
0.901 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x
0.901 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.901 * [taylor]: Taking taylor expansion of x in x
0.901 * [taylor]: Taking taylor expansion of y in x
0.901 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x
0.901 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x
0.901 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.901 * [taylor]: Taking taylor expansion of x in x
0.901 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.901 * [taylor]: Taking taylor expansion of y in x
0.902 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x
0.902 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.902 * [taylor]: Taking taylor expansion of x in x
0.902 * [taylor]: Taking taylor expansion of y in x
0.902 * [taylor]: Taking taylor expansion of y in y
0.903 * [taylor]: Taking taylor expansion of 0 in y
0.904 * [taylor]: Taking taylor expansion of 1 in y
0.906 * [taylor]: Taking taylor expansion of 0 in y
0.907 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.907 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.907 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y
0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
0.907 * [taylor]: Taking taylor expansion of (pow x 4) in y
0.907 * [taylor]: Taking taylor expansion of x in y
0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.907 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.907 * [taylor]: Taking taylor expansion of y in y
0.907 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.907 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.908 * [taylor]: Taking taylor expansion of x in y
0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.908 * [taylor]: Taking taylor expansion of y in y
0.909 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.909 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x
0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.909 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.909 * [taylor]: Taking taylor expansion of x in x
0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.910 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.910 * [taylor]: Taking taylor expansion of y in x
0.910 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.910 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.910 * [taylor]: Taking taylor expansion of x in x
0.910 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.910 * [taylor]: Taking taylor expansion of y in x
0.911 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.911 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x
0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.911 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.911 * [taylor]: Taking taylor expansion of x in x
0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.912 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.912 * [taylor]: Taking taylor expansion of y in x
0.912 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.912 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.912 * [taylor]: Taking taylor expansion of x in x
0.913 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.913 * [taylor]: Taking taylor expansion of y in x
0.913 * [taylor]: Taking taylor expansion of 1 in y
0.916 * [taylor]: Taking taylor expansion of 0 in y
0.919 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.919 * [taylor]: Taking taylor expansion of y in y
0.924 * [taylor]: Taking taylor expansion of 0 in y
0.928 * [taylor]: Taking taylor expansion of 0 in y
0.929 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.929 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.929 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y
0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
0.929 * [taylor]: Taking taylor expansion of (pow x 4) in y
0.929 * [taylor]: Taking taylor expansion of x in y
0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.929 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.929 * [taylor]: Taking taylor expansion of y in y
0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.930 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.930 * [taylor]: Taking taylor expansion of x in y
0.930 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.930 * [taylor]: Taking taylor expansion of y in y
0.931 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.931 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x
0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.931 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.931 * [taylor]: Taking taylor expansion of x in x
0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.932 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.932 * [taylor]: Taking taylor expansion of y in x
0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.932 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.932 * [taylor]: Taking taylor expansion of x in x
0.933 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.933 * [taylor]: Taking taylor expansion of y in x
0.934 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.934 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x
0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.934 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.934 * [taylor]: Taking taylor expansion of x in x
0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.935 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.935 * [taylor]: Taking taylor expansion of y in x
0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.935 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.935 * [taylor]: Taking taylor expansion of x in x
0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.936 * [taylor]: Taking taylor expansion of y in x
0.936 * [taylor]: Taking taylor expansion of 1 in y
0.939 * [taylor]: Taking taylor expansion of 0 in y
0.942 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y
0.942 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.942 * [taylor]: Taking taylor expansion of y in y
0.947 * [taylor]: Taking taylor expansion of 0 in y
0.952 * [taylor]: Taking taylor expansion of 0 in y
0.952 * * * * [progress]: [ 2 / 3 ] generating series at (2)
0.952 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in (x y) around 0
0.952 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in y
0.952 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y
0.952 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y
0.952 * [taylor]: Taking taylor expansion of (pow x 4) in y
0.952 * [taylor]: Taking taylor expansion of x in y
0.952 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.952 * [taylor]: Taking taylor expansion of y in y
0.952 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y
0.952 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.952 * [taylor]: Taking taylor expansion of x in y
0.952 * [taylor]: Taking taylor expansion of y in y
0.954 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x
0.954 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x
0.954 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x
0.954 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.954 * [taylor]: Taking taylor expansion of x in x
0.954 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.954 * [taylor]: Taking taylor expansion of y in x
0.954 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x
0.954 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.954 * [taylor]: Taking taylor expansion of x in x
0.954 * [taylor]: Taking taylor expansion of y in x
0.955 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x
0.955 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x
0.955 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x
0.955 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.955 * [taylor]: Taking taylor expansion of x in x
0.955 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.955 * [taylor]: Taking taylor expansion of y in x
0.955 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x
0.955 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.955 * [taylor]: Taking taylor expansion of x in x
0.956 * [taylor]: Taking taylor expansion of y in x
0.957 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.957 * [taylor]: Taking taylor expansion of y in y
0.958 * [taylor]: Taking taylor expansion of 0 in y
0.960 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.960 * [taylor]: Taking taylor expansion of 1/2 in y
0.960 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.960 * [taylor]: Taking taylor expansion of y in y
0.966 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0
0.966 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in y
0.966 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.966 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y
0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
0.966 * [taylor]: Taking taylor expansion of (pow x 4) in y
0.966 * [taylor]: Taking taylor expansion of x in y
0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.966 * [taylor]: Taking taylor expansion of y in y
0.967 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.967 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.967 * [taylor]: Taking taylor expansion of x in y
0.967 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.967 * [taylor]: Taking taylor expansion of y in y
0.969 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x
0.969 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.969 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x
0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.969 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.969 * [taylor]: Taking taylor expansion of x in x
0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.970 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.970 * [taylor]: Taking taylor expansion of y in x
0.970 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.970 * [taylor]: Taking taylor expansion of x in x
0.971 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.971 * [taylor]: Taking taylor expansion of y in x
0.975 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x
0.975 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.975 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x
0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.975 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.975 * [taylor]: Taking taylor expansion of x in x
0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.975 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.975 * [taylor]: Taking taylor expansion of y in x
0.976 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.976 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.976 * [taylor]: Taking taylor expansion of x in x
0.976 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.976 * [taylor]: Taking taylor expansion of y in x
0.983 * [taylor]: Taking taylor expansion of 1 in y
0.983 * [taylor]: Taking taylor expansion of 0 in y
0.987 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.987 * [taylor]: Taking taylor expansion of 1/2 in y
0.987 * [taylor]: Taking taylor expansion of y in y
0.991 * [taylor]: Taking taylor expansion of 0 in y
0.997 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.997 * [taylor]: Taking taylor expansion of -1/8 in y
0.997 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.997 * [taylor]: Taking taylor expansion of y in y
0.999 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0
0.999 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y
0.999 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.999 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y
0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
0.999 * [taylor]: Taking taylor expansion of (pow x 4) in y
0.999 * [taylor]: Taking taylor expansion of x in y
0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.999 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.999 * [taylor]: Taking taylor expansion of y in y
1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.000 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.000 * [taylor]: Taking taylor expansion of x in y
1.000 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.000 * [taylor]: Taking taylor expansion of y in y
1.002 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x
1.002 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x
1.002 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x
1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
1.002 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.002 * [taylor]: Taking taylor expansion of x in x
1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.003 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.003 * [taylor]: Taking taylor expansion of y in x
1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.003 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.003 * [taylor]: Taking taylor expansion of x in x
1.004 * [taylor]: Taking taylor expansion of (/ 1 y) in x
1.004 * [taylor]: Taking taylor expansion of y in x
1.007 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x
1.007 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x
1.007 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x
1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
1.008 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.008 * [taylor]: Taking taylor expansion of x in x
1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.008 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.008 * [taylor]: Taking taylor expansion of y in x
1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.008 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.008 * [taylor]: Taking taylor expansion of x in x
1.009 * [taylor]: Taking taylor expansion of (/ 1 y) in x
1.009 * [taylor]: Taking taylor expansion of y in x
1.013 * [taylor]: Taking taylor expansion of 1 in y
1.013 * [taylor]: Taking taylor expansion of 0 in y
1.017 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
1.017 * [taylor]: Taking taylor expansion of -1/2 in y
1.017 * [taylor]: Taking taylor expansion of y in y
1.021 * [taylor]: Taking taylor expansion of 0 in y
1.027 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
1.027 * [taylor]: Taking taylor expansion of -1/8 in y
1.027 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.027 * [taylor]: Taking taylor expansion of y in y
1.029 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
1.029 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0
1.029 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y
1.029 * [taylor]: Taking taylor expansion of (pow x 4) in y
1.029 * [taylor]: Taking taylor expansion of x in y
1.029 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.029 * [taylor]: Taking taylor expansion of y in y
1.029 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x
1.029 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.029 * [taylor]: Taking taylor expansion of x in x
1.029 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.029 * [taylor]: Taking taylor expansion of y in x
1.029 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x
1.029 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.029 * [taylor]: Taking taylor expansion of x in x
1.029 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.029 * [taylor]: Taking taylor expansion of y in x
1.029 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y
1.029 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.029 * [taylor]: Taking taylor expansion of y in y
1.030 * [taylor]: Taking taylor expansion of 0 in y
1.031 * [taylor]: Taking taylor expansion of 0 in y
1.032 * [taylor]: Taking taylor expansion of 0 in y
1.034 * [taylor]: Taking taylor expansion of 1 in y
1.037 * [taylor]: Taking taylor expansion of 0 in y
1.038 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0
1.038 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y
1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
1.038 * [taylor]: Taking taylor expansion of (pow x 4) in y
1.038 * [taylor]: Taking taylor expansion of x in y
1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.038 * [taylor]: Taking taylor expansion of y in y
1.038 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x
1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
1.038 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.038 * [taylor]: Taking taylor expansion of x in x
1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.039 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.039 * [taylor]: Taking taylor expansion of y in x
1.039 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x
1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
1.039 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.039 * [taylor]: Taking taylor expansion of x in x
1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.040 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.040 * [taylor]: Taking taylor expansion of y in x
1.040 * [taylor]: Taking taylor expansion of 1 in y
1.042 * [taylor]: Taking taylor expansion of 0 in y
1.043 * [taylor]: Taking taylor expansion of 0 in y
1.045 * [taylor]: Taking taylor expansion of 0 in y
1.047 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y
1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.047 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.047 * [taylor]: Taking taylor expansion of y in y
1.050 * [taylor]: Taking taylor expansion of 0 in y
1.051 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0
1.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y
1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
1.051 * [taylor]: Taking taylor expansion of (pow x 4) in y
1.051 * [taylor]: Taking taylor expansion of x in y
1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.052 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.052 * [taylor]: Taking taylor expansion of y in y
1.052 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x
1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
1.052 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.052 * [taylor]: Taking taylor expansion of x in x
1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.053 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.053 * [taylor]: Taking taylor expansion of y in x
1.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x
1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
1.053 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.053 * [taylor]: Taking taylor expansion of x in x
1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.054 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.054 * [taylor]: Taking taylor expansion of y in x
1.054 * [taylor]: Taking taylor expansion of 1 in y
1.056 * [taylor]: Taking taylor expansion of 0 in y
1.059 * [taylor]: Taking taylor expansion of 0 in y
1.061 * [taylor]: Taking taylor expansion of 0 in y
1.063 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y
1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.063 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.063 * [taylor]: Taking taylor expansion of y in y
1.066 * [taylor]: Taking taylor expansion of 0 in y
1.068 * * * [progress]: simplifying candidates
1.071 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (log (- (pow x 4) (pow y 2))) (log (- (* x x) y)))
  (log (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
  (exp (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
  (/ (* (* (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2))) (- (pow x 4) (pow y 2))) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)))
  (* (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
  (* (* (/ (- (pow x 4) (pow y 2)) (- (* x x) y)) (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
  (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
  (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
  (neg (- (pow x 4) (pow y 2)))
  (neg (- (* x x) y))
  (/ (pow x 4) (- (* x x) y))
  (/ (pow y 2) (- (* x x) y))
  (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y)))
  (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (sqrt (- (* x x) y)))
  (/ (cbrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y)))
  (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) 1)
  (/ (cbrt (- (pow x 4) (pow y 2))) (- (* x x) y))
  (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (+ x (sqrt y)))
  (/ (cbrt (- (pow x 4) (pow y 2))) (- x (sqrt y)))
  (/ (sqrt (- (pow x 4) (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (sqrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y)))
  (/ (sqrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y)))
  (/ (sqrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y)))
  (/ (sqrt (- (pow x 4) (pow y 2))) 1)
  (/ (sqrt (- (pow x 4) (pow y 2))) (- (* x x) y))
  (/ (sqrt (- (pow x 4) (pow y 2))) (+ x (sqrt y)))
  (/ (sqrt (- (pow x 4) (pow y 2))) (- x (sqrt y)))
  (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y)))
  (/ 1 (sqrt (- (* x x) y)))
  (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y)))
  (/ 1 1)
  (/ (- (pow x 4) (pow y 2)) (- (* x x) y))
  (/ 1 (+ x (sqrt y)))
  (/ (- (pow x 4) (pow y 2)) (- x (sqrt y)))
  (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (cbrt (- (* x x) y)))
  (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) (sqrt (- (* x x) y)))
  (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (sqrt (- (* x x) y)))
  (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) 1)
  (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (- (* x x) y))
  (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) (+ x (sqrt y)))
  (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (- x (sqrt y)))
  (/ (+ (pow (sqrt x) 4) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow (sqrt x) 4) y) (cbrt (- (* x x) y)))
  (/ (+ (pow (sqrt x) 4) y) (sqrt (- (* x x) y)))
  (/ (- (pow (sqrt x) 4) y) (sqrt (- (* x x) y)))
  (/ (+ (pow (sqrt x) 4) y) 1)
  (/ (- (pow (sqrt x) 4) y) (- (* x x) y))
  (/ (+ (pow (sqrt x) 4) y) (+ x (sqrt y)))
  (/ (- (pow (sqrt x) 4) y) (- x (sqrt y)))
  (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (cbrt (- (* x x) y)))
  (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) (sqrt (- (* x x) y)))
  (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (sqrt (- (* x x) y)))
  (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) 1)
  (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (- (* x x) y))
  (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) (+ x (sqrt y)))
  (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (- x (sqrt y)))
  (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (cbrt (- (* x x) y)))
  (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) (sqrt (- (* x x) y)))
  (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (sqrt (- (* x x) y)))
  (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) 1)
  (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (- (* x x) y))
  (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) (+ x (sqrt y)))
  (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (- x (sqrt y)))
  (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (sqrt (pow x 4)) (pow (sqrt y) 2)) (cbrt (- (* x x) y)))
  (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) (sqrt (- (* x x) y)))
  (/ (- (sqrt (pow x 4)) (pow (sqrt y) 2)) (sqrt (- (* x x) y)))
  (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) 1)
  (/ (- (sqrt (pow x 4)) (pow (sqrt y) 2)) (- (* x x) y))
  (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) (+ x (sqrt y)))
  (/ (- (sqrt (pow x 4)) (pow (sqrt y) 2)) (- x (sqrt y)))
  (/ (+ (sqrt (pow x 4)) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (sqrt (pow x 4)) y) (cbrt (- (* x x) y)))
  (/ (+ (sqrt (pow x 4)) y) (sqrt (- (* x x) y)))
  (/ (- (sqrt (pow x 4)) y) (sqrt (- (* x x) y)))
  (/ (+ (sqrt (pow x 4)) y) 1)
  (/ (- (sqrt (pow x 4)) y) (- (* x x) y))
  (/ (+ (sqrt (pow x 4)) y) (+ x (sqrt y)))
  (/ (- (sqrt (pow x 4)) y) (- x (sqrt y)))
  (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (cbrt (- (* x x) y)))
  (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (sqrt (- (* x x) y)))
  (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (sqrt (- (* x x) y)))
  (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) 1)
  (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (- (* x x) y))
  (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (+ x (sqrt y)))
  (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (- x (sqrt y)))
  (/ (+ (sqrt (pow x 4)) (pow y (/ 2 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (sqrt (pow x 4)) (pow y (/ 2 2))) (cbrt (- (* x x) y)))
  (/ (+ (sqrt (pow x 4)) (pow y (/ 2 2))) (sqrt (- (* x x) y)))
  (/ (- (sqrt (pow x 4)) (pow y (/ 2 2))) (sqrt (- (* x x) y)))
  (/ (+ (sqrt (pow x 4)) (pow y (/ 2 2))) 1)
  (/ (- (sqrt (pow x 4)) (pow y (/ 2 2))) (- (* x x) y))
  (/ (+ (sqrt (pow x 4)) (pow y (/ 2 2))) (+ x (sqrt y)))
  (/ (- (sqrt (pow x 4)) (pow y (/ 2 2))) (- x (sqrt y)))
  (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 2)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x (/ 4 2)) (pow (sqrt y) 2)) (cbrt (- (* x x) y)))
  (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 2)) (sqrt (- (* x x) y)))
  (/ (- (pow x (/ 4 2)) (pow (sqrt y) 2)) (sqrt (- (* x x) y)))
  (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 2)) 1)
  (/ (- (pow x (/ 4 2)) (pow (sqrt y) 2)) (- (* x x) y))
  (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 2)) (+ x (sqrt y)))
  (/ (- (pow x (/ 4 2)) (pow (sqrt y) 2)) (- x (sqrt y)))
  (/ (+ (pow x (/ 4 2)) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x (/ 4 2)) y) (cbrt (- (* x x) y)))
  (/ (+ (pow x (/ 4 2)) y) (sqrt (- (* x x) y)))
  (/ (- (pow x (/ 4 2)) y) (sqrt (- (* x x) y)))
  (/ (+ (pow x (/ 4 2)) y) 1)
  (/ (- (pow x (/ 4 2)) y) (- (* x x) y))
  (/ (+ (pow x (/ 4 2)) y) (+ x (sqrt y)))
  (/ (- (pow x (/ 4 2)) y) (- x (sqrt y)))
  (/ (+ (pow x (/ 4 2)) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x (/ 4 2)) (sqrt (pow y 2))) (cbrt (- (* x x) y)))
  (/ (+ (pow x (/ 4 2)) (sqrt (pow y 2))) (sqrt (- (* x x) y)))
  (/ (- (pow x (/ 4 2)) (sqrt (pow y 2))) (sqrt (- (* x x) y)))
  (/ (+ (pow x (/ 4 2)) (sqrt (pow y 2))) 1)
  (/ (- (pow x (/ 4 2)) (sqrt (pow y 2))) (- (* x x) y))
  (/ (+ (pow x (/ 4 2)) (sqrt (pow y 2))) (+ x (sqrt y)))
  (/ (- (pow x (/ 4 2)) (sqrt (pow y 2))) (- x (sqrt y)))
  (/ (+ (pow x (/ 4 2)) (pow y (/ 2 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x (/ 4 2)) (pow y (/ 2 2))) (cbrt (- (* x x) y)))
  (/ (+ (pow x (/ 4 2)) (pow y (/ 2 2))) (sqrt (- (* x x) y)))
  (/ (- (pow x (/ 4 2)) (pow y (/ 2 2))) (sqrt (- (* x x) y)))
  (/ (+ (pow x (/ 4 2)) (pow y (/ 2 2))) 1)
  (/ (- (pow x (/ 4 2)) (pow y (/ 2 2))) (- (* x x) y))
  (/ (+ (pow x (/ 4 2)) (pow y (/ 2 2))) (+ x (sqrt y)))
  (/ (- (pow x (/ 4 2)) (pow y (/ 2 2))) (- x (sqrt y)))
  (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y)))
  (/ 1 (sqrt (- (* x x) y)))
  (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y)))
  (/ 1 1)
  (/ (- (pow x 4) (pow y 2)) (- (* x x) y))
  (/ 1 (+ x (sqrt y)))
  (/ (- (pow x 4) (pow y 2)) (- x (sqrt y)))
  (/ 1 (- (* x x) y))
  (/ (- (* x x) y) (- (pow x 4) (pow y 2)))
  (/ (- (pow x 4) (pow y 2)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y)))
  (/ (- (pow x 4) (pow y 2)) 1)
  (/ (- (pow x 4) (pow y 2)) (+ x (sqrt y)))
  (/ (- (* x x) y) (cbrt (- (pow x 4) (pow y 2))))
  (/ (- (* x x) y) (sqrt (- (pow x 4) (pow y 2))))
  (/ (- (* x x) y) (- (pow x 4) (pow y 2)))
  (/ (- (* x x) y) (- (pow (sqrt x) 4) (pow (sqrt y) 2)))
  (/ (- (* x x) y) (- (pow (sqrt x) 4) y))
  (/ (- (* x x) y) (- (pow (sqrt x) 4) (sqrt (pow y 2))))
  (/ (- (* x x) y) (- (pow (sqrt x) 4) (pow y (/ 2 2))))
  (/ (- (* x x) y) (- (sqrt (pow x 4)) (pow (sqrt y) 2)))
  (/ (- (* x x) y) (- (sqrt (pow x 4)) y))
  (/ (- (* x x) y) (- (sqrt (pow x 4)) (sqrt (pow y 2))))
  (/ (- (* x x) y) (- (sqrt (pow x 4)) (pow y (/ 2 2))))
  (/ (- (* x x) y) (- (pow x (/ 4 2)) (pow (sqrt y) 2)))
  (/ (- (* x x) y) (- (pow x (/ 4 2)) y))
  (/ (- (* x x) y) (- (pow x (/ 4 2)) (sqrt (pow y 2))))
  (/ (- (* x x) y) (- (pow x (/ 4 2)) (pow y (/ 2 2))))
  (/ (- (* x x) y) (- (pow x 4) (pow y 2)))
  (/ (- (pow x 4) (pow y 2)) (- (pow (* x x) 3) (pow y 3)))
  (/ (- (pow x 4) (pow y 2)) (- (* (* x x) (* x x)) (* y y)))
  (* (- (* x x) y) (+ (* (pow x 4) (pow x 4)) (+ (* (pow y 2) (pow y 2)) (* (pow x 4) (pow y 2)))))
  (* (- (* x x) y) (+ (pow x 4) (pow y 2)))
  (log (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (exp (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (* (cbrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))) (cbrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))))
  (cbrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (* (* (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (sqrt (* (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))))
  (sqrt (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (sqrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (sqrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (sqrt (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (sqrt (- (* x x) y))))
  (sqrt (/ (cbrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) 1))
  (sqrt (/ (cbrt (- (pow x 4) (pow y 2))) (- (* x x) y)))
  (sqrt (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (+ x (sqrt y))))
  (sqrt (/ (cbrt (- (pow x 4) (pow y 2))) (- x (sqrt y))))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) 1))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (- (* x x) y)))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (+ x (sqrt y))))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (- x (sqrt y))))
  (sqrt (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))))
  (sqrt (/ 1 (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))))
  (sqrt (/ 1 1))
  (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
  (sqrt (/ 1 (+ x (sqrt y))))
  (sqrt (/ (- (pow x 4) (pow y 2)) (- x (sqrt y))))
  (sqrt (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) 1))
  (sqrt (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (- (* x x) y)))
  (sqrt (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) (+ x (sqrt y))))
  (sqrt (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (- x (sqrt y))))
  (sqrt (/ (+ (pow (sqrt x) 4) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow (sqrt x) 4) y) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow (sqrt x) 4) y) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow (sqrt x) 4) y) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (pow (sqrt x) 4) y) 1))
  (sqrt (/ (- (pow (sqrt x) 4) y) (- (* x x) y)))
  (sqrt (/ (+ (pow (sqrt x) 4) y) (+ x (sqrt y))))
  (sqrt (/ (- (pow (sqrt x) 4) y) (- x (sqrt y))))
  (sqrt (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) 1))
  (sqrt (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (- (* x x) y)))
  (sqrt (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) (+ x (sqrt y))))
  (sqrt (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (- x (sqrt y))))
  (sqrt (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) 1))
  (sqrt (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (- (* x x) y)))
  (sqrt (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) (+ x (sqrt y))))
  (sqrt (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (- x (sqrt y))))
  (sqrt (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (sqrt (pow x 4)) (pow (sqrt y) 2)) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) (sqrt (- (* x x) y))))
  (sqrt (/ (- (sqrt (pow x 4)) (pow (sqrt y) 2)) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) 1))
  (sqrt (/ (- (sqrt (pow x 4)) (pow (sqrt y) 2)) (- (* x x) y)))
  (sqrt (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) (+ x (sqrt y))))
  (sqrt (/ (- (sqrt (pow x 4)) (pow (sqrt y) 2)) (- x (sqrt y))))
  (sqrt (/ (+ (sqrt (pow x 4)) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (sqrt (pow x 4)) y) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) y) (sqrt (- (* x x) y))))
  (sqrt (/ (- (sqrt (pow x 4)) y) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) y) 1))
  (sqrt (/ (- (sqrt (pow x 4)) y) (- (* x x) y)))
  (sqrt (/ (+ (sqrt (pow x 4)) y) (+ x (sqrt y))))
  (sqrt (/ (- (sqrt (pow x 4)) y) (- x (sqrt y))))
  (sqrt (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) 1))
  (sqrt (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (- (* x x) y)))
  (sqrt (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (+ x (sqrt y))))
  (sqrt (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (- x (sqrt y))))
  (sqrt (/ (+ (sqrt (pow x 4)) (pow y (/ 2 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (sqrt (pow x 4)) (pow y (/ 2 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) (pow y (/ 2 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (- (sqrt (pow x 4)) (pow y (/ 2 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) (pow y (/ 2 2))) 1))
  (sqrt (/ (- (sqrt (pow x 4)) (pow y (/ 2 2))) (- (* x x) y)))
  (sqrt (/ (+ (sqrt (pow x 4)) (pow y (/ 2 2))) (+ x (sqrt y))))
  (sqrt (/ (- (sqrt (pow x 4)) (pow y (/ 2 2))) (- x (sqrt y))))
  (sqrt (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 2)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x (/ 4 2)) (pow (sqrt y) 2)) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 2)) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x (/ 4 2)) (pow (sqrt y) 2)) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 2)) 1))
  (sqrt (/ (- (pow x (/ 4 2)) (pow (sqrt y) 2)) (- (* x x) y)))
  (sqrt (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 2)) (+ x (sqrt y))))
  (sqrt (/ (- (pow x (/ 4 2)) (pow (sqrt y) 2)) (- x (sqrt y))))
  (sqrt (/ (+ (pow x (/ 4 2)) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x (/ 4 2)) y) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow x (/ 4 2)) y) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x (/ 4 2)) y) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (pow x (/ 4 2)) y) 1))
  (sqrt (/ (- (pow x (/ 4 2)) y) (- (* x x) y)))
  (sqrt (/ (+ (pow x (/ 4 2)) y) (+ x (sqrt y))))
  (sqrt (/ (- (pow x (/ 4 2)) y) (- x (sqrt y))))
  (sqrt (/ (+ (pow x (/ 4 2)) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x (/ 4 2)) (sqrt (pow y 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow x (/ 4 2)) (sqrt (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x (/ 4 2)) (sqrt (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (pow x (/ 4 2)) (sqrt (pow y 2))) 1))
  (sqrt (/ (- (pow x (/ 4 2)) (sqrt (pow y 2))) (- (* x x) y)))
  (sqrt (/ (+ (pow x (/ 4 2)) (sqrt (pow y 2))) (+ x (sqrt y))))
  (sqrt (/ (- (pow x (/ 4 2)) (sqrt (pow y 2))) (- x (sqrt y))))
  (sqrt (/ (+ (pow x (/ 4 2)) (pow y (/ 2 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
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  (sqrt (/ (+ (pow x (/ 4 2)) (pow y (/ 2 2))) 1))
  (sqrt (/ (- (pow x (/ 4 2)) (pow y (/ 2 2))) (- (* x x) y)))
  (sqrt (/ (+ (pow x (/ 4 2)) (pow y (/ 2 2))) (+ x (sqrt y))))
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  (sqrt (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))))
  (sqrt (/ 1 (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))))
  (sqrt (/ 1 1))
  (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
  (sqrt (/ 1 (+ x (sqrt y))))
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  (sqrt 1)
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  (sqrt (/ 1 (- (* x x) y)))
  (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow (* x x) 3) (pow y 3))))
  (sqrt (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))
  (sqrt (/ (- (pow x 4) (pow y 2)) (- (* (* x x) (* x x)) (* y y))))
  (sqrt (+ (* x x) y))
  (sqrt (- (pow x 4) (pow y 2)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (sqrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (/ (exp (pow x 4)) (exp (pow y 2)))
  (log (- (pow x 4) (pow y 2)))
  (exp (- (pow x 4) (pow y 2)))
  (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2))))
  (cbrt (- (pow x 4) (pow y 2)))
  (* (* (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2))) (- (pow x 4) (pow y 2)))
  (sqrt (- (pow x 4) (pow y 2)))
  (sqrt (- (pow x 4) (pow y 2)))
  (- (pow (pow x 4) 3) (pow (pow y 2) 3))
  (+ (* (pow x 4) (pow x 4)) (+ (* (pow y 2) (pow y 2)) (* (pow x 4) (pow y 2))))
  (neg (pow y 2))
  (- (* (pow x 4) (pow x 4)) (* (pow y 2) (pow y 2)))
  (+ (pow x 4) (pow y 2))
  (+ (pow (sqrt x) 4) (pow (sqrt y) 2))
  (- (pow (sqrt x) 4) (pow (sqrt y) 2))
  (+ (pow (sqrt x) 4) y)
  (- (pow (sqrt x) 4) y)
  (+ (pow (sqrt x) 4) (sqrt (pow y 2)))
  (- (pow (sqrt x) 4) (sqrt (pow y 2)))
  (+ (pow (sqrt x) 4) (pow y (/ 2 2)))
  (- (pow (sqrt x) 4) (pow y (/ 2 2)))
  (+ (sqrt (pow x 4)) (pow (sqrt y) 2))
  (- (sqrt (pow x 4)) (pow (sqrt y) 2))
  (+ (sqrt (pow x 4)) y)
  (- (sqrt (pow x 4)) y)
  (+ (sqrt (pow x 4)) (sqrt (pow y 2)))
  (- (sqrt (pow x 4)) (sqrt (pow y 2)))
  (+ (sqrt (pow x 4)) (pow y (/ 2 2)))
  (- (sqrt (pow x 4)) (pow y (/ 2 2)))
  (+ (pow x (/ 4 2)) (pow (sqrt y) 2))
  (- (pow x (/ 4 2)) (pow (sqrt y) 2))
  (+ (pow x (/ 4 2)) y)
  (- (pow x (/ 4 2)) y)
  (+ (pow x (/ 4 2)) (sqrt (pow y 2)))
  (- (pow x (/ 4 2)) (sqrt (pow y 2)))
  (+ (pow x (/ 4 2)) (pow y (/ 2 2)))
  (- (pow x (/ 4 2)) (pow y (/ 2 2)))
  (- (pow x 4) (pow y 2))
  (neg (pow y 2))
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) 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))))
  (- (pow x 4) (pow y 2))
  (- (pow x 4) (pow y 2))
  (- (pow x 4) (pow y 2))
1.083 * * [simplify]: iteration  0 :  733  enodes  (cost  2621 )
1.092 * * [simplify]: iteration  1 :  2136  enodes  (cost  2349 )
1.121 * * [simplify]: iteration  2 :  5001  enodes  (cost  2195 )
1.135 * [simplify]: Simplified to:
   (log (+ y (pow x 2)))
  (log (+ y (pow x 2)))
  (exp (+ y (pow x 2)))
  (pow (+ y (pow x 2)) 3)
  (* (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
  (pow (+ y (pow x 2)) 3)
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (neg (- (pow x 4) (pow y 2)))
  (neg (- (* x x) y))
  (/ (pow x 4) (- (* x x) y))
  (/ (pow y 2) (- (* x x) y))
  (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y)))
  (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (sqrt (- (* x x) y)))
  (/ (cbrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y)))
  (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2))))
  (/ (cbrt (- (pow x 4) (pow y 2))) (- (* x x) y))
  (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (+ x (sqrt y)))
  (/ (cbrt (- (pow x 4) (pow y 2))) (- x (sqrt y)))
  (/ (sqrt (- (pow x 4) (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (sqrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y)))
  (/ (sqrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y)))
  (/ (sqrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y)))
  (sqrt (- (pow x 4) (pow y 2)))
  (/ (sqrt (- (pow x 4) (pow y 2))) (- (* x x) y))
  (/ (sqrt (- (pow x 4) (pow y 2))) (+ x (sqrt y)))
  (/ (sqrt (- (pow x 4) (pow y 2))) (- x (sqrt y)))
  (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y)))
  (/ 1 (sqrt (- (* x x) y)))
  (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y)))
  1
  (+ y (pow x 2))
  (/ 1 (+ x (sqrt y)))
  (/ (- (pow x 4) (pow y 2)) (- x (sqrt y)))
  (/ (+ (pow x 2) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 2) y) (cbrt (- (* x x) y)))
  (/ (+ (pow x 2) y) (sqrt (- (* x x) y)))
  (/ (- (pow x 2) y) (sqrt (- (* x x) y)))
  (+ y (pow x 2))
  1
  (/ (+ (pow x 2) y) (+ x (sqrt y)))
  (/ (- (pow x 2) y) (- x (sqrt y)))
  (/ (+ (pow x 2) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 2) y) (cbrt (- (* x x) y)))
  (/ (+ (pow x 2) y) (sqrt (- (* x x) y)))
  (/ (- (pow x 2) y) (sqrt (- (* x x) y)))
  (+ y (pow x 2))
  1
  (/ (+ (pow x 2) y) (+ x (sqrt y)))
  (/ (- (pow x 2) y) (- x (sqrt y)))
  (/ (+ (pow x 2) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 2) (sqrt (pow y 2))) (cbrt (- (* x x) y)))
  (/ (+ (pow x 2) (sqrt (pow y 2))) (sqrt (- (* x x) y)))
  (/ (- (pow x 2) (sqrt (pow y 2))) (sqrt (- (* x x) y)))
  (+ (pow x 2) (sqrt (pow y 2)))
  (/ (- (pow x 2) (sqrt (pow y 2))) (- (* x x) y))
  (/ (+ (pow x 2) (sqrt (pow y 2))) (+ x (sqrt y)))
  (/ (- (pow x 2) (sqrt (pow y 2))) (- x (sqrt y)))
  (/ (+ (pow x 2) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 2) y) (cbrt (- (* x x) y)))
  (/ (+ (pow x 2) y) (sqrt (- (* x x) y)))
  (/ (- (pow x 2) y) (sqrt (- (* x x) y)))
  (+ y (pow x 2))
  1
  (/ (+ (pow x 2) y) (+ x (sqrt y)))
  (/ (- (pow x 2) y) (- x (sqrt y)))
  (/ (+ (sqrt (pow x 4)) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (sqrt (pow x 4)) y) (cbrt (- (* x x) y)))
  (/ (+ (sqrt (pow x 4)) y) (sqrt (- (* x x) y)))
  (/ (- (sqrt (pow x 4)) y) (sqrt (- (* x x) y)))
  (+ y (sqrt (pow x 4)))
  (/ (- (sqrt (pow x 4)) y) (- (* x x) y))
  (/ (+ (sqrt (pow x 4)) y) (+ x (sqrt y)))
  (/ (- (sqrt (pow x 4)) y) (- x (sqrt y)))
  (/ (+ (sqrt (pow x 4)) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (sqrt (pow x 4)) y) (cbrt (- (* x x) y)))
  (/ (+ (sqrt (pow x 4)) y) (sqrt (- (* x x) y)))
  (/ (- (sqrt (pow x 4)) y) (sqrt (- (* x x) y)))
  (+ y (sqrt (pow x 4)))
  (/ (- (sqrt (pow x 4)) y) (- (* x x) y))
  (/ (+ (sqrt (pow x 4)) y) (+ x (sqrt y)))
  (/ (- (sqrt (pow x 4)) y) (- x (sqrt y)))
  (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (cbrt (- (* x x) y)))
  (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (sqrt (- (* x x) y)))
  (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (sqrt (- (* x x) y)))
  (+ (sqrt (pow x 4)) (sqrt (pow y 2)))
  (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (- (* x x) y))
  (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (+ x (sqrt y)))
  (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (- x (sqrt y)))
  (/ (+ (sqrt (pow x 4)) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (sqrt (pow x 4)) y) (cbrt (- (* x x) y)))
  (/ (+ (sqrt (pow x 4)) y) (sqrt (- (* x x) y)))
  (/ (- (sqrt (pow x 4)) y) (sqrt (- (* x x) y)))
  (+ y (sqrt (pow x 4)))
  (/ (- (sqrt (pow x 4)) y) (- (* x x) y))
  (/ (+ (sqrt (pow x 4)) y) (+ x (sqrt y)))
  (/ (- (sqrt (pow x 4)) y) (- x (sqrt y)))
  (/ (+ (pow x 2) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 2) y) (cbrt (- (* x x) y)))
  (/ (+ (pow x 2) y) (sqrt (- (* x x) y)))
  (/ (- (pow x 2) y) (sqrt (- (* x x) y)))
  (+ y (pow x 2))
  1
  (/ (+ (pow x 2) y) (+ x (sqrt y)))
  (/ (- (pow x 2) y) (- x (sqrt y)))
  (/ (+ (pow x 2) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 2) y) (cbrt (- (* x x) y)))
  (/ (+ (pow x 2) y) (sqrt (- (* x x) y)))
  (/ (- (pow x 2) y) (sqrt (- (* x x) y)))
  (+ y (pow x 2))
  1
  (/ (+ (pow x 2) y) (+ x (sqrt y)))
  (/ (- (pow x 2) y) (- x (sqrt y)))
  (/ (+ (pow x 2) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 2) (sqrt (pow y 2))) (cbrt (- (* x x) y)))
  (/ (+ (pow x 2) (sqrt (pow y 2))) (sqrt (- (* x x) y)))
  (/ (- (pow x 2) (sqrt (pow y 2))) (sqrt (- (* x x) y)))
  (+ (pow x 2) (sqrt (pow y 2)))
  (/ (- (pow x 2) (sqrt (pow y 2))) (- (* x x) y))
  (/ (+ (pow x 2) (sqrt (pow y 2))) (+ x (sqrt y)))
  (/ (- (pow x 2) (sqrt (pow y 2))) (- x (sqrt y)))
  (/ (+ (pow x 2) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 2) y) (cbrt (- (* x x) y)))
  (/ (+ (pow x 2) y) (sqrt (- (* x x) y)))
  (/ (- (pow x 2) y) (sqrt (- (* x x) y)))
  (+ y (pow x 2))
  1
  (/ (+ (pow x 2) y) (+ x (sqrt y)))
  (/ (- (pow x 2) y) (- x (sqrt y)))
  (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y)))
  (/ 1 (sqrt (- (* x x) y)))
  (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y)))
  1
  (+ y (pow x 2))
  (/ 1 (+ x (sqrt y)))
  (/ (- (pow x 4) (pow y 2)) (- x (sqrt y)))
  (/ 1 (- (* x x) y))
  (/ (- (* x x) y) (- (pow x 4) (pow y 2)))
  (/ (- (pow x 4) (pow y 2)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))
  (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y)))
  (- (pow x 4) (pow y 2))
  (/ (- (pow x 4) (pow y 2)) (+ x (sqrt y)))
  (/ (- (* x x) y) (cbrt (- (pow x 4) (pow y 2))))
  (/ (- (* x x) y) (sqrt (- (pow x 4) (pow y 2))))
  (/ (- (* x x) y) (- (pow x 4) (pow y 2)))
  1
  1
  (/ (- (* x x) y) (- (pow x 2) (sqrt (pow y 2))))
  1
  (/ (- (* x x) y) (- (sqrt (pow x 4)) y))
  (/ (- (* x x) y) (- (sqrt (pow x 4)) y))
  (/ (- (* x x) y) (- (sqrt (pow x 4)) (sqrt (pow y 2))))
  (/ (- (* x x) y) (- (sqrt (pow x 4)) y))
  1
  1
  (/ (- (* x x) y) (- (pow x 2) (sqrt (pow y 2))))
  1
  (/ (- (* x x) y) (- (pow x 4) (pow y 2)))
  (/ (- (pow x 4) (pow y 2)) (- (pow (* x x) 3) (pow y 3)))
  1
  (* (+ (+ (pow x 8) (pow y 4)) (* (pow x 4) (pow y 2))) (- (* x x) y))
  (* (- (* x x) y) (+ (pow x 4) (pow y 2)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))) (cbrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))))
  (cbrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (pow (sqrt (+ (* x x) y)) 3)
  (fabs (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (sqrt (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (sqrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (sqrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (fabs (/ (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (sqrt (- (* x x) y))))
  (sqrt (/ (cbrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y))))
  (fabs (cbrt (- (pow x 4) (pow y 2))))
  (sqrt (/ (cbrt (- (pow x 4) (pow y 2))) (- (* x x) y)))
  (sqrt (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (+ x (sqrt y))))
  (sqrt (/ (cbrt (- (pow x 4) (pow y 2))) (- x (sqrt y))))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) 1))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (- (* x x) y)))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (+ x (sqrt y))))
  (sqrt (/ (sqrt (- (pow x 4) (pow y 2))) (- x (sqrt y))))
  (sqrt (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))))
  (sqrt (/ 1 (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))))
  1
  (sqrt (+ (* x x) y))
  (sqrt (/ 1 (+ x (sqrt y))))
  (sqrt (/ (- (pow x 4) (pow y 2)) (- x (sqrt y))))
  (sqrt (/ (+ (pow x 2) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x 2) y) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow x 2) y) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x 2) y) (sqrt (- (* x x) y))))
  (sqrt (+ (* x x) y))
  1
  (sqrt (/ (+ (pow x 2) y) (+ x (sqrt y))))
  (sqrt (/ (- (pow x 2) y) (- x (sqrt y))))
  (sqrt (/ (+ (pow x 2) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x 2) y) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow x 2) y) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x 2) y) (sqrt (- (* x x) y))))
  (sqrt (+ (* x x) y))
  1
  (sqrt (/ (+ (pow x 2) y) (+ x (sqrt y))))
  (sqrt (/ (- (pow x 2) y) (- x (sqrt y))))
  (sqrt (/ (+ (pow x 2) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x 2) (sqrt (pow y 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow x 2) (sqrt (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x 2) (sqrt (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (pow x 2) (sqrt (pow y 2))) 1))
  (sqrt (/ (- (pow x 2) (sqrt (pow y 2))) (- (* x x) y)))
  (sqrt (/ (+ (pow x 2) (sqrt (pow y 2))) (+ x (sqrt y))))
  (sqrt (/ (- (pow x 2) (sqrt (pow y 2))) (- x (sqrt y))))
  (sqrt (/ (+ (pow x 2) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x 2) y) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow x 2) y) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x 2) y) (sqrt (- (* x x) y))))
  (sqrt (+ (* x x) y))
  1
  (sqrt (/ (+ (pow x 2) y) (+ x (sqrt y))))
  (sqrt (/ (- (pow x 2) y) (- x (sqrt y))))
  (sqrt (/ (+ (sqrt (pow x 4)) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (sqrt (pow x 4)) y) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) y) (sqrt (- (* x x) y))))
  (sqrt (/ (- (sqrt (pow x 4)) y) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) y) 1))
  (sqrt (/ (- (sqrt (pow x 4)) y) (- (* x x) y)))
  (sqrt (/ (+ (sqrt (pow x 4)) y) (+ x (sqrt y))))
  (sqrt (/ (- (sqrt (pow x 4)) y) (- x (sqrt y))))
  (sqrt (/ (+ (sqrt (pow x 4)) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (sqrt (pow x 4)) y) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) y) (sqrt (- (* x x) y))))
  (sqrt (/ (- (sqrt (pow x 4)) y) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) y) 1))
  (sqrt (/ (- (sqrt (pow x 4)) y) (- (* x x) y)))
  (sqrt (/ (+ (sqrt (pow x 4)) y) (+ x (sqrt y))))
  (sqrt (/ (- (sqrt (pow x 4)) y) (- x (sqrt y))))
  (sqrt (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) 1))
  (sqrt (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (- (* x x) y)))
  (sqrt (/ (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (+ x (sqrt y))))
  (sqrt (/ (- (sqrt (pow x 4)) (sqrt (pow y 2))) (- x (sqrt y))))
  (sqrt (/ (+ (sqrt (pow x 4)) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (sqrt (pow x 4)) y) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) y) (sqrt (- (* x x) y))))
  (sqrt (/ (- (sqrt (pow x 4)) y) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (sqrt (pow x 4)) y) 1))
  (sqrt (/ (- (sqrt (pow x 4)) y) (- (* x x) y)))
  (sqrt (/ (+ (sqrt (pow x 4)) y) (+ x (sqrt y))))
  (sqrt (/ (- (sqrt (pow x 4)) y) (- x (sqrt y))))
  (sqrt (/ (+ (pow x 2) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x 2) y) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow x 2) y) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x 2) y) (sqrt (- (* x x) y))))
  (sqrt (+ (* x x) y))
  1
  (sqrt (/ (+ (pow x 2) y) (+ x (sqrt y))))
  (sqrt (/ (- (pow x 2) y) (- x (sqrt y))))
  (sqrt (/ (+ (pow x 2) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x 2) y) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow x 2) y) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x 2) y) (sqrt (- (* x x) y))))
  (sqrt (+ (* x x) y))
  1
  (sqrt (/ (+ (pow x 2) y) (+ x (sqrt y))))
  (sqrt (/ (- (pow x 2) y) (- x (sqrt y))))
  (sqrt (/ (+ (pow x 2) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x 2) (sqrt (pow y 2))) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow x 2) (sqrt (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x 2) (sqrt (pow y 2))) (sqrt (- (* x x) y))))
  (sqrt (/ (+ (pow x 2) (sqrt (pow y 2))) 1))
  (sqrt (/ (- (pow x 2) (sqrt (pow y 2))) (- (* x x) y)))
  (sqrt (/ (+ (pow x 2) (sqrt (pow y 2))) (+ x (sqrt y))))
  (sqrt (/ (- (pow x 2) (sqrt (pow y 2))) (- x (sqrt y))))
  (sqrt (/ (+ (pow x 2) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x 2) y) (cbrt (- (* x x) y))))
  (sqrt (/ (+ (pow x 2) y) (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x 2) y) (sqrt (- (* x x) y))))
  (sqrt (+ (* x x) y))
  1
  (sqrt (/ (+ (pow x 2) y) (+ x (sqrt y))))
  (sqrt (/ (- (pow x 2) y) (- x (sqrt y))))
  (sqrt (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))))
  (sqrt (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))))
  (sqrt (/ 1 (sqrt (- (* x x) y))))
  (sqrt (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))))
  1
  (sqrt (+ (* x x) y))
  (sqrt (/ 1 (+ x (sqrt y))))
  (sqrt (/ (- (pow x 4) (pow y 2)) (- x (sqrt y))))
  1
  (sqrt (+ (* x x) y))
  (sqrt (- (pow x 4) (pow y 2)))
  (sqrt (/ 1 (- (* x x) y)))
  (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow (* x x) 3) (pow y 3))))
  (sqrt (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))
  1
  (sqrt (+ (* x x) y))
  (sqrt (- (pow x 4) (pow y 2)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (sqrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))
  (exp (- (pow x 4) (pow y 2)))
  (log (- (pow x 4) (pow y 2)))
  (exp (- (pow x 4) (pow y 2)))
  (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2))))
  (cbrt (- (pow x 4) (pow y 2)))
  (pow (- (pow x 4) (pow y 2)) 3)
  (sqrt (- (pow x 4) (pow y 2)))
  (sqrt (- (pow x 4) (pow y 2)))
  (- (pow (pow x 4) 3) (pow (pow y 2) 3))
  (+ (+ (pow x 8) (pow y 4)) (* (pow x 4) (pow y 2)))
  (neg (pow y 2))
  (+ (pow x 8) (neg (pow y 4)))
  (+ (pow x 4) (pow y 2))
  (+ y (pow x 2))
  (- (pow x 2) y)
  (+ y (pow x 2))
  (- (pow x 2) y)
  (+ (pow x 2) (sqrt (pow y 2)))
  (- (pow x 2) (sqrt (pow y 2)))
  (+ y (pow x 2))
  (- (pow x 2) y)
  (+ y (sqrt (pow x 4)))
  (- (sqrt (pow x 4)) y)
  (+ y (sqrt (pow x 4)))
  (- (sqrt (pow x 4)) y)
  (+ (sqrt (pow x 4)) (sqrt (pow y 2)))
  (- (sqrt (pow x 4)) (sqrt (pow y 2)))
  (+ y (sqrt (pow x 4)))
  (- (sqrt (pow x 4)) y)
  (+ y (pow x 2))
  (- (pow x 2) y)
  (+ y (pow x 2))
  (- (pow x 2) y)
  (+ (pow x 2) (sqrt (pow y 2)))
  (- (pow x 2) (sqrt (pow y 2)))
  (+ y (pow x 2))
  (- (pow x 2) y)
  (- (pow x 4) (pow y 2))
  (neg (pow y 2))
  (+ y (pow x 2))
  (+ y (pow x 2))
  (+ y (pow x 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 x 4) (pow y 2))
  (- (pow x 4) (pow y 2))
  (- (pow x 4) (pow y 2))
1.136 * * * [progress]: adding candidates to table
1.657 * [progress]: [Phase 3 of 3] Extracting.
1.657 * * [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) (sqrt (cbrt (pow (+ (* x x) y) 3))))> #<alt (λ (x y) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>)
1.657 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
1.657 * * * * [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) (sqrt (cbrt (pow (+ (* x x) y) 3))))> #<alt (λ (x y) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>)
1.702 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (sqrt (cbrt (pow (+ (* x x) y) 3))))>)
1.733 * * * * [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) (sqrt (cbrt (pow (+ (* x x) y) 3))))> #<alt (λ (x y) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>)
1.782 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (sqrt (cbrt (pow (+ (* x x) y) 3))))>)
1.813 * * * * [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) (sqrt (cbrt (pow (+ (* x x) y) 3))))> #<alt (λ (x y) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>)
1.865 * * * * [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) (sqrt (cbrt (pow (+ (* x x) y) 3))))> #<alt (λ (x y) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>)
1.934 * * * * [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) (sqrt (cbrt (pow (+ (* x x) y) 3))))> #<alt (λ (x y) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>)
1.989 * * * [regime]: Found split indices: #<option (#s(si 4 50) #s(si 0 197) #s(si 1 255))>
1.990 * [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) (sqrt (cbrt (pow (+ (* x x) y) 3))))> #<alt (λ (x y) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>)
2.047 * [regimes]: Found splitpoints: (#s(sp 4 x -1.3697041431172378e+154) #s(sp 0 x 1.6155993846949299e+100) #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) (sqrt (cbrt (pow (+ (* x x) y) 3))))> #<alt (λ (x y) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>)
2.047 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.3697041431172378e+154) (- (* -1/2 (/ y x)) x) (if (<= x 1.6155993846949299e+100) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
2.048 * * [simplify]: iteration  0 :  22  enodes  (cost  9 )
2.048 * * [simplify]: iteration  1 :  22  enodes  (cost  9 )
2.048 * [simplify]: Simplified to:
   (if (<= x -1.3697041431172378e+154) (- (* -1/2 (/ y x)) x) (if (<= x 1.6155993846949299e+100) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
3.011 * [regime-testing]: Baseline error score: 21.478559819977498
3.012 * [regime-testing]: Oracle error score: 0.004074303429300915
3.014 * [regime-testing]: End program error score: 0.19275712424225602
3.088 * [regime-testing]: Target error score: 0.6224803465745267