23.359 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.022 * * * [progress]: [2/2] Setting up program.
0.025 * [progress]: [Phase 2 of 3] Improving.
0.025 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) y))
0.029 * * [simplify]: iteration  0 :  7  enodes  (cost  3 )
0.030 * * [simplify]: iteration  1 :  7  enodes  (cost  3 )
0.030 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.031 * * [progress]: iteration 1 / 4
0.031 * * * [progress]: picking best candidate
0.033 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.033 * * * [progress]: localizing error
0.041 * * * [progress]: generating rewritten candidates
0.041 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.048 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.055 * * * [progress]: generating series expansions
0.055 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.055 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.055 * [taylor]: Taking taylor expansion of x in y
0.055 * [taylor]: Taking taylor expansion of y in y
0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.056 * [taylor]: Taking taylor expansion of x in x
0.056 * [taylor]: Taking taylor expansion of y in x
0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.056 * [taylor]: Taking taylor expansion of x in x
0.056 * [taylor]: Taking taylor expansion of y in x
0.057 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.057 * [taylor]: Taking taylor expansion of y in y
0.058 * [taylor]: Taking taylor expansion of 0 in y
0.059 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.059 * [taylor]: Taking taylor expansion of 1/2 in y
0.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.059 * [taylor]: Taking taylor expansion of y in y
0.064 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.064 * [taylor]: Taking taylor expansion of x in y
0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.064 * [taylor]: Taking taylor expansion of y in y
0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.066 * [taylor]: Taking taylor expansion of x in x
0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.066 * [taylor]: Taking taylor expansion of y in x
0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.068 * [taylor]: Taking taylor expansion of x in x
0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.069 * [taylor]: Taking taylor expansion of y in x
0.072 * [taylor]: Taking taylor expansion of 1 in y
0.072 * [taylor]: Taking taylor expansion of 0 in y
0.073 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.073 * [taylor]: Taking taylor expansion of 1/2 in y
0.074 * [taylor]: Taking taylor expansion of y in y
0.075 * [taylor]: Taking taylor expansion of 0 in y
0.078 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.078 * [taylor]: Taking taylor expansion of -1/8 in y
0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.078 * [taylor]: Taking taylor expansion of y in y
0.080 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.080 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
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
0.082 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.082 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.082 * [taylor]: Taking taylor expansion of x in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.082 * [taylor]: Taking taylor expansion of y in x
0.084 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.084 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.084 * [taylor]: Taking taylor expansion of x in x
0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.085 * [taylor]: Taking taylor expansion of y in x
0.086 * [taylor]: Taking taylor expansion of 1 in y
0.086 * [taylor]: Taking taylor expansion of 0 in y
0.088 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.088 * [taylor]: Taking taylor expansion of -1/2 in y
0.088 * [taylor]: Taking taylor expansion of y in y
0.090 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.093 * [taylor]: Taking taylor expansion of -1/8 in y
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.093 * [taylor]: Taking taylor expansion of y in y
0.095 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.095 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.095 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.095 * [taylor]: Taking taylor expansion of x in y
0.095 * [taylor]: Taking taylor expansion of y in y
0.095 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.095 * [taylor]: Taking taylor expansion of x in x
0.095 * [taylor]: Taking taylor expansion of y in x
0.095 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.095 * [taylor]: Taking taylor expansion of x in x
0.095 * [taylor]: Taking taylor expansion of y in x
0.095 * [taylor]: Taking taylor expansion of y in y
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.096 * [taylor]: Taking taylor expansion of 1 in y
0.096 * [taylor]: Taking taylor expansion of 0 in y
0.097 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.097 * [taylor]: Taking taylor expansion of x in y
0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.097 * [taylor]: Taking taylor expansion of y in y
0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.097 * [taylor]: Taking taylor expansion of x in x
0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.098 * [taylor]: Taking taylor expansion of y in x
0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.098 * [taylor]: Taking taylor expansion of x in x
0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.098 * [taylor]: Taking taylor expansion of y in x
0.099 * [taylor]: Taking taylor expansion of 1 in y
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.101 * [taylor]: Taking taylor expansion of y in y
0.102 * [taylor]: Taking taylor expansion of 0 in y
0.104 * [taylor]: Taking taylor expansion of 0 in y
0.104 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.104 * [taylor]: Taking taylor expansion of x in y
0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.105 * [taylor]: Taking taylor expansion of y in y
0.105 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.105 * [taylor]: Taking taylor expansion of x in x
0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.105 * [taylor]: Taking taylor expansion of y in x
0.105 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.105 * [taylor]: Taking taylor expansion of x in x
0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.106 * [taylor]: Taking taylor expansion of y in x
0.106 * [taylor]: Taking taylor expansion of 1 in y
0.107 * [taylor]: Taking taylor expansion of 0 in y
0.108 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.108 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0 in y
0.113 * * * [progress]: simplifying candidates
0.113 * [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)
0.117 * * [simplify]: iteration  0 :  153  enodes  (cost  160 )
0.120 * * [simplify]: iteration  1 :  518  enodes  (cost  146 )
0.128 * * [simplify]: iteration  2 :  1716  enodes  (cost  138 )
0.161 * * [simplify]: iteration  3 :  5002  enodes  (cost  136 )
0.163 * [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)
0.163 * * * [progress]: adding candidates to table
0.230 * * [progress]: iteration 2 / 4
0.230 * * * [progress]: picking best candidate
0.234 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (fma x x y)))>
0.234 * * * [progress]: localizing error
0.241 * * * [progress]: generating rewritten candidates
0.241 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.242 * * * [progress]: generating series expansions
0.242 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.243 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0
0.243 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y
0.243 * [taylor]: Taking taylor expansion of (fma x x y) in y
0.243 * [taylor]: Rewrote expression to (+ (* x x) y)
0.243 * [taylor]: Taking taylor expansion of (* x x) in y
0.243 * [taylor]: Taking taylor expansion of x in y
0.243 * [taylor]: Taking taylor expansion of x in y
0.243 * [taylor]: Taking taylor expansion of y in y
0.243 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.244 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.244 * [taylor]: Rewrote expression to (+ (* x x) y)
0.244 * [taylor]: Taking taylor expansion of (* x x) in x
0.244 * [taylor]: Taking taylor expansion of x in x
0.244 * [taylor]: Taking taylor expansion of x in x
0.244 * [taylor]: Taking taylor expansion of y in x
0.245 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.245 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.245 * [taylor]: Rewrote expression to (+ (* x x) y)
0.245 * [taylor]: Taking taylor expansion of (* x x) in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.245 * [taylor]: Taking taylor expansion of y in x
0.246 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.246 * [taylor]: Taking taylor expansion of y in y
0.247 * [taylor]: Taking taylor expansion of 0 in y
0.248 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.248 * [taylor]: Taking taylor expansion of 1/2 in y
0.248 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.248 * [taylor]: Taking taylor expansion of y in y
0.253 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0
0.253 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y
0.253 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y
0.253 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.253 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.253 * [taylor]: Taking taylor expansion of x in y
0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.253 * [taylor]: Taking taylor expansion of x in y
0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.253 * [taylor]: Taking taylor expansion of y in y
0.254 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.254 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.254 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.255 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.255 * [taylor]: Taking taylor expansion of x in x
0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.255 * [taylor]: Taking taylor expansion of x in x
0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.255 * [taylor]: Taking taylor expansion of y in x
0.258 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.258 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.258 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.258 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.258 * [taylor]: Taking taylor expansion of x in x
0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.258 * [taylor]: Taking taylor expansion of x in x
0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.258 * [taylor]: Taking taylor expansion of y in x
0.261 * [taylor]: Taking taylor expansion of 1 in y
0.261 * [taylor]: Taking taylor expansion of 0 in y
0.263 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.263 * [taylor]: Taking taylor expansion of 1/2 in y
0.263 * [taylor]: Taking taylor expansion of y in y
0.265 * [taylor]: Taking taylor expansion of 0 in y
0.268 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.268 * [taylor]: Taking taylor expansion of -1/8 in y
0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.268 * [taylor]: Taking taylor expansion of y in y
0.270 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0
0.270 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y
0.270 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y
0.270 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.270 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.270 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.270 * [taylor]: Taking taylor expansion of -1 in y
0.270 * [taylor]: Taking taylor expansion of x in y
0.270 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.270 * [taylor]: Taking taylor expansion of -1 in y
0.270 * [taylor]: Taking taylor expansion of x in y
0.270 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.270 * [taylor]: Taking taylor expansion of -1 in y
0.270 * [taylor]: Taking taylor expansion of y in y
0.272 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.272 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.272 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.272 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.272 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.272 * [taylor]: Taking taylor expansion of -1 in x
0.272 * [taylor]: Taking taylor expansion of x in x
0.272 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.272 * [taylor]: Taking taylor expansion of -1 in x
0.272 * [taylor]: Taking taylor expansion of x in x
0.273 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.273 * [taylor]: Taking taylor expansion of -1 in x
0.273 * [taylor]: Taking taylor expansion of y in x
0.275 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.275 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.275 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.275 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.275 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.275 * [taylor]: Taking taylor expansion of -1 in x
0.275 * [taylor]: Taking taylor expansion of x in x
0.276 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.276 * [taylor]: Taking taylor expansion of -1 in x
0.276 * [taylor]: Taking taylor expansion of x in x
0.276 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.276 * [taylor]: Taking taylor expansion of -1 in x
0.276 * [taylor]: Taking taylor expansion of y in x
0.278 * [taylor]: Taking taylor expansion of 1 in y
0.279 * [taylor]: Taking taylor expansion of 0 in y
0.281 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.281 * [taylor]: Taking taylor expansion of -1/2 in y
0.281 * [taylor]: Taking taylor expansion of y in y
0.284 * [taylor]: Taking taylor expansion of 0 in y
0.287 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.287 * [taylor]: Taking taylor expansion of -1/8 in y
0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.287 * [taylor]: Taking taylor expansion of y in y
0.288 * * * [progress]: simplifying candidates
0.289 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (sqrt (fma x x y)))
  (log1p (sqrt (fma x x y)))
  (log (sqrt (fma x x y)))
  (exp (sqrt (fma x x y)))
  (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y))))
  (cbrt (sqrt (fma x x y)))
  (* (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (fma x x y)))
  (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y))))
  (sqrt (cbrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt 1)
  (sqrt (fma x x y))
  (/ 1 2)
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma 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))))
0.291 * * [simplify]: iteration  0 :  76  enodes  (cost  64 )
0.293 * * [simplify]: iteration  1 :  185  enodes  (cost  59 )
0.297 * * [simplify]: iteration  2 :  616  enodes  (cost  58 )
0.309 * * [simplify]: iteration  3 :  2525  enodes  (cost  56 )
0.370 * * [simplify]: iteration  4 :  5001  enodes  (cost  56 )
0.370 * [simplify]: Simplified to:
   (expm1 (sqrt (fma x x y)))
  (log1p (sqrt (fma x x y)))
  (log (sqrt (fma x x y)))
  (exp (sqrt (fma x x y)))
  (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y))))
  (cbrt (sqrt (fma x x y)))
  (pow (sqrt (fma x x y)) 3)
  (fabs (cbrt (fma x x y)))
  (sqrt (cbrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  1
  (sqrt (fma x x y))
  1/2
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (* +nan.0 (fma (- x) x (- (pow y 2) y)))
  (fma 1/2 (/ y x) x)
  (- (+ x (* 1/2 (/ y x))))
0.371 * * * [progress]: adding candidates to table
0.398 * * [progress]: iteration 3 / 4
0.398 * * * [progress]: picking best candidate
0.401 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.401 * * * [progress]: localizing error
0.406 * * * [progress]: generating rewritten candidates
0.406 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2)
0.414 * * * [progress]: generating series expansions
0.414 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2)
0.414 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0
0.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.414 * [taylor]: Taking taylor expansion of 1/2 in x
0.414 * [taylor]: Taking taylor expansion of (/ y x) in x
0.414 * [taylor]: Taking taylor expansion of y in x
0.414 * [taylor]: Taking taylor expansion of x in x
0.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.414 * [taylor]: Taking taylor expansion of 1/2 in y
0.414 * [taylor]: Taking taylor expansion of (/ y x) in y
0.414 * [taylor]: Taking taylor expansion of y in y
0.414 * [taylor]: Taking taylor expansion of x in y
0.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.414 * [taylor]: Taking taylor expansion of 1/2 in y
0.414 * [taylor]: Taking taylor expansion of (/ y x) in y
0.414 * [taylor]: Taking taylor expansion of y in y
0.414 * [taylor]: Taking taylor expansion of x in y
0.414 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.414 * [taylor]: Taking taylor expansion of 1/2 in x
0.414 * [taylor]: Taking taylor expansion of x in x
0.415 * [taylor]: Taking taylor expansion of 0 in x
0.416 * [taylor]: Taking taylor expansion of 0 in x
0.417 * [taylor]: Taking taylor expansion of 0 in x
0.418 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.418 * [taylor]: Taking taylor expansion of 1/2 in x
0.418 * [taylor]: Taking taylor expansion of (/ x y) in x
0.418 * [taylor]: Taking taylor expansion of x in x
0.418 * [taylor]: Taking taylor expansion of y in x
0.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.418 * [taylor]: Taking taylor expansion of 1/2 in y
0.418 * [taylor]: Taking taylor expansion of (/ x y) in y
0.418 * [taylor]: Taking taylor expansion of x in y
0.418 * [taylor]: Taking taylor expansion of y in y
0.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.418 * [taylor]: Taking taylor expansion of 1/2 in y
0.418 * [taylor]: Taking taylor expansion of (/ x y) in y
0.418 * [taylor]: Taking taylor expansion of x in y
0.418 * [taylor]: Taking taylor expansion of y in y
0.418 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.418 * [taylor]: Taking taylor expansion of 1/2 in x
0.419 * [taylor]: Taking taylor expansion of x in x
0.420 * [taylor]: Taking taylor expansion of 0 in x
0.422 * [taylor]: Taking taylor expansion of 0 in x
0.424 * [taylor]: Taking taylor expansion of 0 in x
0.424 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.424 * [taylor]: Taking taylor expansion of 1/2 in x
0.424 * [taylor]: Taking taylor expansion of (/ x y) in x
0.424 * [taylor]: Taking taylor expansion of x in x
0.424 * [taylor]: Taking taylor expansion of y in x
0.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.425 * [taylor]: Taking taylor expansion of 1/2 in y
0.425 * [taylor]: Taking taylor expansion of (/ x y) in y
0.425 * [taylor]: Taking taylor expansion of x in y
0.425 * [taylor]: Taking taylor expansion of y in y
0.425 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.425 * [taylor]: Taking taylor expansion of 1/2 in y
0.425 * [taylor]: Taking taylor expansion of (/ x y) in y
0.425 * [taylor]: Taking taylor expansion of x in y
0.425 * [taylor]: Taking taylor expansion of y in y
0.425 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.425 * [taylor]: Taking taylor expansion of 1/2 in x
0.425 * [taylor]: Taking taylor expansion of x in x
0.426 * [taylor]: Taking taylor expansion of 0 in x
0.428 * [taylor]: Taking taylor expansion of 0 in x
0.430 * [taylor]: Taking taylor expansion of 0 in x
0.430 * * * [progress]: simplifying candidates
0.431 * [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))
0.434 * * [simplify]: iteration  0 :  166  enodes  (cost  134 )
0.438 * * [simplify]: iteration  1 :  729  enodes  (cost  124 )
0.452 * * [simplify]: iteration  2 :  2968  enodes  (cost  124 )
0.491 * * [simplify]: iteration  3 :  5001  enodes  (cost  124 )
0.492 * [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))
0.492 * * * [progress]: adding candidates to table
0.539 * * [progress]: iteration 4 / 4
0.539 * * * [progress]: picking best candidate
0.541 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
0.541 * * * [progress]: localizing error
0.545 * * * [progress]: generating rewritten candidates
0.545 * * * [progress]: generating series expansions
0.545 * * * [progress]: simplifying candidates
0.546 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.549 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.549 * [simplify]: Simplified to:
   
0.549 * * * [progress]: adding candidates to table
0.549 * [progress]: [Phase 3 of 3] Extracting.
0.549 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.550 * * * [regime-changes]: Trying 2 branch expressions: (y x)
0.550 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.596 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.636 * * * [regime]: Found split indices: #<option (#s(si 1 45) #s(si 0 204) #s(si 2 255))>
0.637 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.698 * [regimes]: Found splitpoints: (#s(sp 1 x -1.3322539688256998e+154) #s(sp 0 x 8.910291731607776e+98) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.699 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.3322539688256998e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 8.910291731607776e+98) (sqrt (fma x x y)) (fma 1/2 (/ y x) x)))
0.700 * * [simplify]: iteration  0 :  21  enodes  (cost  8 )
0.700 * * [simplify]: iteration  1 :  28  enodes  (cost  8 )
0.701 * * [simplify]: iteration  2 :  30  enodes  (cost  8 )
0.701 * * [simplify]: iteration  3 :  30  enodes  (cost  8 )
0.701 * [simplify]: Simplified to:
   (if (<= x -1.3322539688256998e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 8.910291731607776e+98) (sqrt (fma x x y)) (fma 1/2 (/ y x) x)))
1.258 * [regime-testing]: Baseline error score: 21.116639579947492
1.258 * [regime-testing]: Oracle error score: 0.005484921795862571
1.260 * [regime-testing]: End program error score: 0.19627979004867568
1.288 * [regime-testing]: Target error score: 0.5055668078327799