39.771 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.013 * * * [progress]: [2/2] Setting up program.
0.015 * [progress]: [Phase 2 of 3] Improving.
0.015 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) y))
0.018 * * [simplify]: iteration  0 :  7  enodes  (cost  3 )
0.019 * * [simplify]: iteration  1 :  7  enodes  (cost  3 )
0.019 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.019 * * [progress]: iteration 1 / 4
0.019 * * * [progress]: picking best candidate
0.021 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.021 * * * [progress]: localizing error
0.025 * * * [progress]: generating rewritten candidates
0.025 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.029 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.034 * * * [progress]: generating series expansions
0.034 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.034 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.034 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.034 * [taylor]: Taking taylor expansion of x in y
0.034 * [taylor]: Taking taylor expansion of y in y
0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.035 * [taylor]: Taking taylor expansion of x in x
0.035 * [taylor]: Taking taylor expansion of y in x
0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.035 * [taylor]: Taking taylor expansion of x in x
0.035 * [taylor]: Taking taylor expansion of y in x
0.036 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.036 * [taylor]: Taking taylor expansion of y in y
0.038 * [taylor]: Taking taylor expansion of 0 in y
0.039 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.039 * [taylor]: Taking taylor expansion of 1/2 in y
0.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.039 * [taylor]: Taking taylor expansion of y in y
0.044 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.044 * [taylor]: Taking taylor expansion of x in y
0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.044 * [taylor]: Taking taylor expansion of y in y
0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.045 * [taylor]: Taking taylor expansion of x in x
0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.046 * [taylor]: Taking taylor expansion of y in x
0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.048 * [taylor]: Taking taylor expansion of x in x
0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.048 * [taylor]: Taking taylor expansion of y in x
0.050 * [taylor]: Taking taylor expansion of 1 in y
0.050 * [taylor]: Taking taylor expansion of 0 in y
0.052 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.052 * [taylor]: Taking taylor expansion of 1/2 in y
0.052 * [taylor]: Taking taylor expansion of y in y
0.054 * [taylor]: Taking taylor expansion of 0 in y
0.057 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.057 * [taylor]: Taking taylor expansion of -1/8 in y
0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.057 * [taylor]: Taking taylor expansion of y in y
0.059 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.059 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.059 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.059 * [taylor]: Taking taylor expansion of x in y
0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.059 * [taylor]: Taking taylor expansion of y in y
0.061 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.061 * [taylor]: Taking taylor expansion of x in x
0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.061 * [taylor]: Taking taylor expansion of y in x
0.063 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.063 * [taylor]: Taking taylor expansion of x in x
0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.064 * [taylor]: Taking taylor expansion of y in x
0.066 * [taylor]: Taking taylor expansion of 1 in y
0.066 * [taylor]: Taking taylor expansion of 0 in y
0.068 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.068 * [taylor]: Taking taylor expansion of -1/2 in y
0.068 * [taylor]: Taking taylor expansion of y in y
0.070 * [taylor]: Taking taylor expansion of 0 in y
0.073 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.073 * [taylor]: Taking taylor expansion of -1/8 in y
0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.073 * [taylor]: Taking taylor expansion of y in y
0.078 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.078 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.078 * [taylor]: Taking taylor expansion of x in y
0.078 * [taylor]: Taking taylor expansion of y in y
0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.078 * [taylor]: Taking taylor expansion of x in x
0.078 * [taylor]: Taking taylor expansion of y in x
0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.078 * [taylor]: Taking taylor expansion of x in x
0.078 * [taylor]: Taking taylor expansion of y in x
0.078 * [taylor]: Taking taylor expansion of y in y
0.078 * [taylor]: Taking taylor expansion of 0 in y
0.079 * [taylor]: Taking taylor expansion of 1 in y
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.080 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.080 * [taylor]: Taking taylor expansion of x in y
0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.080 * [taylor]: Taking taylor expansion of y in y
0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.080 * [taylor]: Taking taylor expansion of x in x
0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.081 * [taylor]: Taking taylor expansion of y in x
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.081 * [taylor]: Taking taylor expansion of x in x
0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.082 * [taylor]: Taking taylor expansion of y in x
0.082 * [taylor]: Taking taylor expansion of 1 in y
0.083 * [taylor]: Taking taylor expansion of 0 in y
0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.084 * [taylor]: Taking taylor expansion of y in y
0.086 * [taylor]: Taking taylor expansion of 0 in y
0.087 * [taylor]: Taking taylor expansion of 0 in y
0.088 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.088 * [taylor]: Taking taylor expansion of x in y
0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.088 * [taylor]: Taking taylor expansion of y in y
0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.088 * [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
0.089 * [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
0.090 * [taylor]: Taking taylor expansion of 1 in y
0.091 * [taylor]: Taking taylor expansion of 0 in y
0.092 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.092 * [taylor]: Taking taylor expansion of y in y
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.096 * [taylor]: Taking taylor expansion of 0 in y
0.096 * * * [progress]: simplifying candidates
0.097 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (expm1 (+ (* x x) y))
  (log1p (+ (* x x) y))
  (* (exp (* x x)) (exp y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))
  (- (* (* x x) (* x x)) (* y y))
  (- (* x x) y)
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
0.101 * * [simplify]: iteration  0 :  153  enodes  (cost  160 )
0.105 * * [simplify]: iteration  1 :  518  enodes  (cost  146 )
0.113 * * [simplify]: iteration  2 :  1716  enodes  (cost  138 )
0.147 * * [simplify]: iteration  3 :  5002  enodes  (cost  136 )
0.149 * [simplify]: Simplified to:
   (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (hypot x (pow y 1/2)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  1
  (hypot x (pow y 1/2))
  (hypot (pow y 3/2) (pow x 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)))
  (expm1 (+ (* x x) y))
  (log1p (+ (* 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 (fma x x y) 3)
  (hypot x (pow y 1/2))
  (hypot x (pow y 1/2))
  (fma (pow y 2) y (pow x 6))
  (fma y (- y (pow x 2)) (pow x 4))
  (- (pow x 4) (pow y 2))
  (- (* x x) y)
  (* +nan.0 (fma (- x) x (fma y y (- y))))
  (fma 1/2 (/ y x) x)
  (- (+ x (* 1/2 (/ y x))))
  (fma x x y)
  (fma x x y)
  (fma x x y)
0.149 * * * [progress]: adding candidates to table
0.219 * * [progress]: iteration 2 / 4
0.219 * * * [progress]: picking best candidate
0.224 * * * * [pick]: Picked  #<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))))>
0.224 * * * [progress]: localizing error
0.232 * * * [progress]: generating rewritten candidates
0.232 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
0.237 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
0.241 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
0.245 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
0.263 * * * [progress]: generating series expansions
0.263 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
0.263 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.263 * [taylor]: Taking taylor expansion of x in y
0.263 * [taylor]: Taking taylor expansion of y in y
0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.264 * [taylor]: Taking taylor expansion of x in x
0.264 * [taylor]: Taking taylor expansion of y in x
0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.265 * [taylor]: Taking taylor expansion of x in x
0.265 * [taylor]: Taking taylor expansion of y in x
0.265 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.265 * [taylor]: Taking taylor expansion of y in y
0.266 * [taylor]: Taking taylor expansion of 0 in y
0.267 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.267 * [taylor]: Taking taylor expansion of 1/2 in y
0.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.267 * [taylor]: Taking taylor expansion of y in y
0.276 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.276 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.276 * [taylor]: Taking taylor expansion of x in y
0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.276 * [taylor]: Taking taylor expansion of y in y
0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.278 * [taylor]: Taking taylor expansion of x in x
0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.278 * [taylor]: Taking taylor expansion of y in x
0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.280 * [taylor]: Taking taylor expansion of x in x
0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.281 * [taylor]: Taking taylor expansion of y in x
0.283 * [taylor]: Taking taylor expansion of 1 in y
0.283 * [taylor]: Taking taylor expansion of 0 in y
0.285 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.285 * [taylor]: Taking taylor expansion of 1/2 in y
0.285 * [taylor]: Taking taylor expansion of y in y
0.287 * [taylor]: Taking taylor expansion of 0 in y
0.289 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.289 * [taylor]: Taking taylor expansion of -1/8 in y
0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.289 * [taylor]: Taking taylor expansion of y in y
0.291 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.291 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.291 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.291 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.291 * [taylor]: Taking taylor expansion of x in y
0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.291 * [taylor]: Taking taylor expansion of y in y
0.293 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.293 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.293 * [taylor]: Taking taylor expansion of x in x
0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.294 * [taylor]: Taking taylor expansion of y in x
0.295 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.296 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.296 * [taylor]: Taking taylor expansion of x in x
0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.296 * [taylor]: Taking taylor expansion of y in x
0.298 * [taylor]: Taking taylor expansion of 1 in y
0.298 * [taylor]: Taking taylor expansion of 0 in y
0.300 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.300 * [taylor]: Taking taylor expansion of -1/2 in y
0.300 * [taylor]: Taking taylor expansion of y in y
0.302 * [taylor]: Taking taylor expansion of 0 in y
0.305 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.305 * [taylor]: Taking taylor expansion of -1/8 in y
0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.305 * [taylor]: Taking taylor expansion of y in y
0.307 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
0.307 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.307 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.307 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.307 * [taylor]: Taking taylor expansion of x in y
0.307 * [taylor]: Taking taylor expansion of y in y
0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.308 * [taylor]: Taking taylor expansion of (pow x 2) 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 (sqrt (+ (pow x 2) y)) in x
0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.308 * [taylor]: Taking taylor expansion of x in x
0.308 * [taylor]: Taking taylor expansion of y in x
0.309 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.309 * [taylor]: Taking taylor expansion of y in y
0.310 * [taylor]: Taking taylor expansion of 0 in y
0.311 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.311 * [taylor]: Taking taylor expansion of 1/2 in y
0.311 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.311 * [taylor]: Taking taylor expansion of y in y
0.316 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.316 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.316 * [taylor]: Taking taylor expansion of x in y
0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.316 * [taylor]: Taking taylor expansion of y in y
0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.318 * [taylor]: Taking taylor expansion of x in x
0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.318 * [taylor]: Taking taylor expansion of y in x
0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.320 * [taylor]: Taking taylor expansion of x in x
0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.321 * [taylor]: Taking taylor expansion of y in x
0.323 * [taylor]: Taking taylor expansion of 1 in y
0.323 * [taylor]: Taking taylor expansion of 0 in y
0.325 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.325 * [taylor]: Taking taylor expansion of 1/2 in y
0.325 * [taylor]: Taking taylor expansion of y in y
0.327 * [taylor]: Taking taylor expansion of 0 in y
0.329 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.329 * [taylor]: Taking taylor expansion of -1/8 in y
0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.330 * [taylor]: Taking taylor expansion of y in y
0.331 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.331 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.331 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.331 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.331 * [taylor]: Taking taylor expansion of x in y
0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.331 * [taylor]: Taking taylor expansion of y in y
0.333 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.333 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.333 * [taylor]: Taking taylor expansion of x in x
0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.334 * [taylor]: Taking taylor expansion of y in x
0.336 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.336 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.336 * [taylor]: Taking taylor expansion of x in x
0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.336 * [taylor]: Taking taylor expansion of y in x
0.339 * [taylor]: Taking taylor expansion of 1 in y
0.339 * [taylor]: Taking taylor expansion of 0 in y
0.340 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.340 * [taylor]: Taking taylor expansion of -1/2 in y
0.341 * [taylor]: Taking taylor expansion of y in y
0.343 * [taylor]: Taking taylor expansion of 0 in y
0.346 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.346 * [taylor]: Taking taylor expansion of -1/8 in y
0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.346 * [taylor]: Taking taylor expansion of y in y
0.347 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
0.347 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.347 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.347 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.348 * [taylor]: Taking taylor expansion of x in y
0.348 * [taylor]: Taking taylor expansion of y in y
0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.348 * [taylor]: Taking taylor expansion of x in x
0.348 * [taylor]: Taking taylor expansion of y in x
0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.349 * [taylor]: Taking taylor expansion of x in x
0.349 * [taylor]: Taking taylor expansion of y in x
0.349 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.349 * [taylor]: Taking taylor expansion of y in y
0.350 * [taylor]: Taking taylor expansion of 0 in y
0.351 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.351 * [taylor]: Taking taylor expansion of 1/2 in y
0.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.351 * [taylor]: Taking taylor expansion of y in y
0.356 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.356 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.356 * [taylor]: Taking taylor expansion of x in y
0.356 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.356 * [taylor]: Taking taylor expansion of y in y
0.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.358 * [taylor]: Taking taylor expansion of x in x
0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.358 * [taylor]: Taking taylor expansion of y in x
0.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.364 * [taylor]: Taking taylor expansion of x in x
0.365 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.365 * [taylor]: Taking taylor expansion of y in x
0.367 * [taylor]: Taking taylor expansion of 1 in y
0.367 * [taylor]: Taking taylor expansion of 0 in y
0.369 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.369 * [taylor]: Taking taylor expansion of 1/2 in y
0.369 * [taylor]: Taking taylor expansion of y in y
0.371 * [taylor]: Taking taylor expansion of 0 in y
0.374 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.374 * [taylor]: Taking taylor expansion of -1/8 in y
0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.374 * [taylor]: Taking taylor expansion of y in y
0.376 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.376 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.376 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.376 * [taylor]: Taking taylor expansion of x in y
0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.376 * [taylor]: Taking taylor expansion of y in y
0.379 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.379 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.379 * [taylor]: Taking taylor expansion of x in x
0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.379 * [taylor]: Taking taylor expansion of y in x
0.381 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.381 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.381 * [taylor]: Taking taylor expansion of x in x
0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.382 * [taylor]: Taking taylor expansion of y in x
0.384 * [taylor]: Taking taylor expansion of 1 in y
0.384 * [taylor]: Taking taylor expansion of 0 in y
0.386 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.386 * [taylor]: Taking taylor expansion of -1/2 in y
0.386 * [taylor]: Taking taylor expansion of y in y
0.388 * [taylor]: Taking taylor expansion of 0 in y
0.391 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.391 * [taylor]: Taking taylor expansion of -1/8 in y
0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.391 * [taylor]: Taking taylor expansion of y in y
0.393 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
0.393 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0
0.393 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y
0.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y
0.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y
0.393 * [taylor]: Taking taylor expansion of 1/3 in y
0.393 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y
0.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.393 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.393 * [taylor]: Taking taylor expansion of x in y
0.393 * [taylor]: Taking taylor expansion of y in y
0.393 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x
0.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x
0.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x
0.393 * [taylor]: Taking taylor expansion of 1/3 in x
0.393 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x
0.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.393 * [taylor]: Taking taylor expansion of x in x
0.393 * [taylor]: Taking taylor expansion of y in x
0.394 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x
0.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x
0.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x
0.394 * [taylor]: Taking taylor expansion of 1/3 in x
0.394 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x
0.394 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.394 * [taylor]: Taking taylor expansion of x in x
0.394 * [taylor]: Taking taylor expansion of y in x
0.394 * [taylor]: Taking taylor expansion of (pow y 1/3) in y
0.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y
0.394 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y
0.394 * [taylor]: Taking taylor expansion of 1/3 in y
0.394 * [taylor]: Taking taylor expansion of (log y) in y
0.394 * [taylor]: Taking taylor expansion of y in y
0.396 * [taylor]: Taking taylor expansion of 0 in y
0.401 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y
0.401 * [taylor]: Taking taylor expansion of 1/3 in y
0.401 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y
0.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y
0.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y
0.401 * [taylor]: Taking taylor expansion of 1/3 in y
0.401 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y
0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.401 * [taylor]: Taking taylor expansion of y in y
0.410 * [taylor]: Taking taylor expansion of 0 in y
0.418 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0
0.418 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y
0.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y
0.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y
0.418 * [taylor]: Taking taylor expansion of 1/3 in y
0.418 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.418 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.418 * [taylor]: Taking taylor expansion of x in y
0.418 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.418 * [taylor]: Taking taylor expansion of y in y
0.419 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x
0.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x
0.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x
0.419 * [taylor]: Taking taylor expansion of 1/3 in x
0.419 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.420 * [taylor]: Taking taylor expansion of x in x
0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.420 * [taylor]: Taking taylor expansion of y in x
0.421 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x
0.421 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x
0.421 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x
0.421 * [taylor]: Taking taylor expansion of 1/3 in x
0.421 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.421 * [taylor]: Taking taylor expansion of x in x
0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.422 * [taylor]: Taking taylor expansion of y in x
0.423 * [taylor]: Taking taylor expansion of (pow x -2/3) in y
0.423 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y
0.423 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y
0.423 * [taylor]: Taking taylor expansion of -2/3 in y
0.423 * [taylor]: Taking taylor expansion of (log x) in y
0.423 * [taylor]: Taking taylor expansion of x in y
0.426 * [taylor]: Taking taylor expansion of 0 in y
0.430 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y
0.430 * [taylor]: Taking taylor expansion of 1/3 in y
0.430 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y
0.430 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y
0.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y
0.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y
0.430 * [taylor]: Taking taylor expansion of 1/3 in y
0.430 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y
0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.430 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.431 * [taylor]: Taking taylor expansion of x in y
0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.431 * [taylor]: Taking taylor expansion of y in y
0.442 * [taylor]: Taking taylor expansion of 0 in y
0.442 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0
0.442 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y
0.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y
0.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y
0.443 * [taylor]: Taking taylor expansion of 1/3 in y
0.443 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.443 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.443 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.443 * [taylor]: Taking taylor expansion of x in y
0.443 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.443 * [taylor]: Taking taylor expansion of y in y
0.445 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x
0.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x
0.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x
0.445 * [taylor]: Taking taylor expansion of 1/3 in x
0.445 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.445 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.445 * [taylor]: Taking taylor expansion of x in x
0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.445 * [taylor]: Taking taylor expansion of y in x
0.446 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x
0.446 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x
0.446 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x
0.446 * [taylor]: Taking taylor expansion of 1/3 in x
0.446 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.446 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.447 * [taylor]: Taking taylor expansion of x in x
0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.447 * [taylor]: Taking taylor expansion of y in x
0.448 * [taylor]: Taking taylor expansion of (pow x -2/3) in y
0.448 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y
0.448 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y
0.448 * [taylor]: Taking taylor expansion of -2/3 in y
0.448 * [taylor]: Taking taylor expansion of (log x) in y
0.448 * [taylor]: Taking taylor expansion of x in y
0.455 * [taylor]: Taking taylor expansion of 0 in y
0.460 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y
0.460 * [taylor]: Taking taylor expansion of -1/3 in y
0.460 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y
0.460 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y
0.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y
0.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y
0.460 * [taylor]: Taking taylor expansion of 1/3 in y
0.460 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y
0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.460 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.460 * [taylor]: Taking taylor expansion of x in y
0.460 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.460 * [taylor]: Taking taylor expansion of y in y
0.472 * [taylor]: Taking taylor expansion of 0 in y
0.472 * * * [progress]: simplifying candidates
0.474 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (expm1 (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (log1p (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (+ 1/3 1/3)
  (+ 1 1)
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (+ 1 1)
  (+ (log (cbrt (sqrt (+ (* x x) y)))) (log (cbrt (sqrt (+ (* x x) y)))))
  (log (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (exp (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (* (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))))
  (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (* (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))))
  (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))))
  (* (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (sqrt (- (* x x) y))))
  (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))))
  (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))))
  (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))
  (* (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))))
  (* (cbrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (cbrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))))
  (* (cbrt (sqrt (cbrt (+ (* x x) y)))) (cbrt (sqrt (cbrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt 1)) (cbrt (sqrt 1)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt 1) (cbrt 1))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (* (* (cbrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (cbrt (sqrt (+ (* x x) y))))) (* (cbrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (cbrt (sqrt (+ (* x x) y))))))
  (* (cbrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (cbrt (sqrt (+ (* x x) y)))))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* 1 1)
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* 2 1/3)
  (* 2 1)
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt 1)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt 1))
  (* (cbrt (sqrt (+ (* x x) y))) (* (cbrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (cbrt (sqrt (+ (* x x) y))))))
  (* (cbrt (sqrt (+ (* x x) y))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (+ (* x x) y))) 1)
  (* (cbrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (cbrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (* (cbrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (+ (* x x) y))))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (+ (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3))
  (pow (/ 1 x) -2/3)
  (pow (/ -1 x) -2/3)
0.481 * * [simplify]: iteration  0 :  247  enodes  (cost  1192 )
0.487 * * [simplify]: iteration  1 :  837  enodes  (cost  1127 )
0.506 * * [simplify]: iteration  2 :  3497  enodes  (cost  1049 )
0.579 * * [simplify]: iteration  3 :  5001  enodes  (cost  1005 )
0.584 * [simplify]: Simplified to:
   (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (log (hypot x (pow y 1/2)))
  (pow E (hypot x (pow y 1/2)))
  (cbrt (+ (* x x) y))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (hypot x (pow y 1/2)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  1
  (hypot x (pow y 1/2))
  (hypot (pow y 3/2) (pow x 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)))
  (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (log (hypot x (pow y 1/2)))
  (pow E (hypot x (pow y 1/2)))
  (cbrt (+ (* x x) y))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (hypot x (pow y 1/2)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  1
  (hypot x (pow y 1/2))
  (hypot (pow y 3/2) (pow x 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)))
  (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (log (hypot x (pow y 1/2)))
  (pow E (hypot x (pow y 1/2)))
  (cbrt (+ (* x x) y))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (hypot x (pow y 1/2)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  1
  (hypot x (pow y 1/2))
  (hypot (pow y 3/2) (pow x 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)))
  (expm1 (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (log1p (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  2/3
  2
  (fma x x y)
  (cbrt (+ (* x x) y))
  2
  (* 2 (log (cbrt (sqrt (+ (* x x) y)))))
  (* 2 (log (cbrt (sqrt (+ (* x x) y)))))
  (pow (exp 1) (pow (sqrt (cbrt (sqrt (+ (* x x) y)))) 4))
  (fma x x y)
  (* (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))))
  (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (fma x x y)
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))))
  (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))))
  (* (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (sqrt (- (* x x) y))))
  (* (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (sqrt (- (* x x) y))))
  (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))
  (* (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))))
  (* (cbrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (cbrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))))
  (* (cbrt (sqrt (cbrt (+ (* x x) y)))) (cbrt (sqrt (cbrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  1
  (cbrt (+ (* x x) y))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  1
  (cbrt (+ (* x x) y))
  (pow (cbrt (cbrt (sqrt (+ (* x x) y)))) 4)
  (* (cbrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (cbrt (sqrt (+ (* x x) y)))))
  (cbrt (sqrt (+ (* x x) y)))
  (cbrt (sqrt (+ (* x x) y)))
  1
  (cbrt (+ (* x x) y))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
  (cbrt (sqrt (+ (* x x) y)))
  (cbrt (sqrt (+ (* x x) y)))
  2/3
  2
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (cbrt (cbrt (sqrt (+ (* x x) y)))) 5)
  (pow (sqrt (cbrt (sqrt (+ (* x x) y)))) 3)
  (cbrt (sqrt (+ (* x x) y)))
  (pow (cbrt (cbrt (sqrt (+ (* x x) y)))) 4)
  (* (cbrt (sqrt (cbrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (cbrt (+ (* x x) y))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (cbrt (+ (* x x) y))
  (pow (cbrt (cbrt (sqrt (+ (* x x) y)))) 4)
  (pow (sqrt (cbrt (sqrt (+ (* x x) y)))) 3)
  (cbrt (+ (* x x) y))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow y 2) y)))
  (fma 1/2 (/ y x) x)
  (- (+ x (* 1/2 (/ y x))))
  (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow y 2) y)))
  (fma 1/2 (/ y x) x)
  (- (+ x (* 1/2 (/ y x))))
  (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow y 2) y)))
  (fma 1/2 (/ y x) x)
  (- (+ x (* 1/2 (/ y x))))
  (fma 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3)) (pow y 1/3))
  (pow (/ 1 x) -2/3)
  (pow (/ -1 x) -2/3)
0.585 * * * [progress]: adding candidates to table
0.873 * * [progress]: iteration 3 / 4
0.873 * * * [progress]: picking best candidate
0.875 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.875 * * * [progress]: localizing error
0.881 * * * [progress]: generating rewritten candidates
0.881 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2)
0.888 * * * [progress]: generating series expansions
0.888 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2)
0.889 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0
0.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.889 * [taylor]: Taking taylor expansion of 1/2 in x
0.889 * [taylor]: Taking taylor expansion of (/ y x) in x
0.889 * [taylor]: Taking taylor expansion of y in x
0.889 * [taylor]: Taking taylor expansion of x in x
0.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.889 * [taylor]: Taking taylor expansion of 1/2 in y
0.889 * [taylor]: Taking taylor expansion of (/ y x) in y
0.889 * [taylor]: Taking taylor expansion of y in y
0.889 * [taylor]: Taking taylor expansion of x in y
0.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.889 * [taylor]: Taking taylor expansion of 1/2 in y
0.889 * [taylor]: Taking taylor expansion of (/ y x) in y
0.889 * [taylor]: Taking taylor expansion of y in y
0.889 * [taylor]: Taking taylor expansion of x in y
0.889 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.889 * [taylor]: Taking taylor expansion of 1/2 in x
0.889 * [taylor]: Taking taylor expansion of x in x
0.890 * [taylor]: Taking taylor expansion of 0 in x
0.891 * [taylor]: Taking taylor expansion of 0 in x
0.893 * [taylor]: Taking taylor expansion of 0 in x
0.894 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.894 * [taylor]: Taking taylor expansion of 1/2 in x
0.894 * [taylor]: Taking taylor expansion of (/ x y) in x
0.894 * [taylor]: Taking taylor expansion of x in x
0.894 * [taylor]: Taking taylor expansion of y in x
0.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.894 * [taylor]: Taking taylor expansion of 1/2 in y
0.894 * [taylor]: Taking taylor expansion of (/ x y) in y
0.894 * [taylor]: Taking taylor expansion of x in y
0.894 * [taylor]: Taking taylor expansion of y in y
0.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.894 * [taylor]: Taking taylor expansion of 1/2 in y
0.894 * [taylor]: Taking taylor expansion of (/ x y) in y
0.894 * [taylor]: Taking taylor expansion of x in y
0.894 * [taylor]: Taking taylor expansion of y in y
0.894 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.894 * [taylor]: Taking taylor expansion of 1/2 in x
0.894 * [taylor]: Taking taylor expansion of x in x
0.895 * [taylor]: Taking taylor expansion of 0 in x
0.897 * [taylor]: Taking taylor expansion of 0 in x
0.902 * [taylor]: Taking taylor expansion of 0 in x
0.903 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.903 * [taylor]: Taking taylor expansion of 1/2 in x
0.903 * [taylor]: Taking taylor expansion of (/ x y) in x
0.903 * [taylor]: Taking taylor expansion of x in x
0.903 * [taylor]: Taking taylor expansion of y in x
0.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.903 * [taylor]: Taking taylor expansion of 1/2 in y
0.903 * [taylor]: Taking taylor expansion of (/ x y) in y
0.903 * [taylor]: Taking taylor expansion of x in y
0.903 * [taylor]: Taking taylor expansion of y in y
0.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.903 * [taylor]: Taking taylor expansion of 1/2 in y
0.903 * [taylor]: Taking taylor expansion of (/ x y) in y
0.903 * [taylor]: Taking taylor expansion of x in y
0.903 * [taylor]: Taking taylor expansion of y in y
0.903 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.903 * [taylor]: Taking taylor expansion of 1/2 in x
0.903 * [taylor]: Taking taylor expansion of x in x
0.904 * [taylor]: Taking taylor expansion of 0 in x
0.906 * [taylor]: Taking taylor expansion of 0 in x
0.909 * [taylor]: Taking taylor expansion of 0 in x
0.909 * * * [progress]: simplifying candidates
0.910 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (* 1/2 (/ y x)))
  (log1p (* 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)
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.914 * * [simplify]: iteration  0 :  166  enodes  (cost  139 )
0.918 * * [simplify]: iteration  1 :  729  enodes  (cost  124 )
0.932 * * [simplify]: iteration  2 :  2968  enodes  (cost  124 )
0.974 * * [simplify]: iteration  3 :  5001  enodes  (cost  124 )
0.975 * [simplify]: Simplified to:
   (expm1 (* 1/2 (/ y x)))
  (log1p (* 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)))
  (* 1/8 (pow (/ y x) 3))
  (* 1/8 (pow (/ y x) 3))
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (* 1/8 (pow (/ y x) 3))
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* (* (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))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
0.975 * * * [progress]: adding candidates to table
1.024 * * [progress]: iteration 4 / 4
1.024 * * * [progress]: picking best candidate
1.026 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
1.026 * * * [progress]: localizing error
1.030 * * * [progress]: generating rewritten candidates
1.030 * * * [progress]: generating series expansions
1.030 * * * [progress]: simplifying candidates
1.030 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
1.036 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
1.036 * [simplify]: Simplified to:
   
1.036 * * * [progress]: adding candidates to table
1.037 * [progress]: [Phase 3 of 3] Extracting.
1.037 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.037 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
1.037 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.056 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.068 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.092 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.105 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.131 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.147 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.180 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.209 * * * [regime]: Found split indices: #<option (#s(si 2 43) #s(si 3 185) #s(si 1 255))>
1.209 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.251 * [regimes]: Found splitpoints: (#s(sp 2 x -1.3183108293052407e+154) #s(sp 3 x 0.46902383324435853) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.252 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.3183108293052407e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 0.46902383324435853) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
1.252 * * [simplify]: iteration  0 :  23  enodes  (cost  9 )
1.253 * * [simplify]: iteration  1 :  30  enodes  (cost  9 )
1.253 * * [simplify]: iteration  2 :  32  enodes  (cost  9 )
1.253 * * [simplify]: iteration  3 :  32  enodes  (cost  9 )
1.254 * [simplify]: Simplified to:
   (if (<= x -1.3183108293052407e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 0.46902383324435853) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
1.765 * [regime-testing]: Baseline error score: 21.320040005000624
1.766 * [regime-testing]: Oracle error score: 0.002875359419927491
1.767 * [regime-testing]: End program error score: 1.1837175833078168
1.798 * [regime-testing]: Target error score: 0.5216918512271898