20.585 * [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 )
0.021 * * [simplify]: iteration  1 :  7  enodes  (cost  3 )
0.021 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.021 * * [progress]: iteration 1 / 4
0.021 * * * [progress]: picking best candidate
0.023 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.023 * * * [progress]: localizing error
0.028 * * * [progress]: generating rewritten candidates
0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.033 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.036 * * * [progress]: generating series expansions
0.036 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.037 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.037 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.037 * [taylor]: Taking taylor expansion of x in y
0.037 * [taylor]: Taking taylor expansion of y in y
0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.038 * [taylor]: Taking taylor expansion of x in x
0.038 * [taylor]: Taking taylor expansion of y in x
0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.038 * [taylor]: Taking taylor expansion of x in x
0.038 * [taylor]: Taking taylor expansion of y in x
0.038 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.039 * [taylor]: Taking taylor expansion of y in y
0.040 * [taylor]: Taking taylor expansion of 0 in y
0.041 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.042 * [taylor]: Taking taylor expansion of 1/2 in y
0.042 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.042 * [taylor]: Taking taylor expansion of y in y
0.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.047 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.047 * [taylor]: Taking taylor expansion of x in y
0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.047 * [taylor]: Taking taylor expansion of y in y
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
0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.049 * [taylor]: Taking taylor expansion of y in x
0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.051 * [taylor]: Taking taylor expansion of x in x
0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.051 * [taylor]: Taking taylor expansion of y in x
0.053 * [taylor]: Taking taylor expansion of 1 in y
0.053 * [taylor]: Taking taylor expansion of 0 in y
0.055 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.055 * [taylor]: Taking taylor expansion of 1/2 in y
0.055 * [taylor]: Taking taylor expansion of y in y
0.057 * [taylor]: Taking taylor expansion of 0 in y
0.060 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.060 * [taylor]: Taking taylor expansion of -1/8 in y
0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.060 * [taylor]: Taking taylor expansion of y in y
0.062 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.062 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.062 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.062 * [taylor]: Taking taylor expansion of x in y
0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.062 * [taylor]: Taking taylor expansion of y in y
0.064 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.064 * [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 (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.066 * [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
0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.067 * [taylor]: Taking taylor expansion of y in x
0.069 * [taylor]: Taking taylor expansion of 1 in y
0.069 * [taylor]: Taking taylor expansion of 0 in y
0.071 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.071 * [taylor]: Taking taylor expansion of -1/2 in y
0.071 * [taylor]: Taking taylor expansion of y in y
0.073 * [taylor]: Taking taylor expansion of 0 in y
0.076 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.076 * [taylor]: Taking taylor expansion of -1/8 in y
0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.076 * [taylor]: Taking taylor expansion of y in y
0.077 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.077 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.077 * [taylor]: Taking taylor expansion of x in y
0.077 * [taylor]: Taking taylor expansion of y in y
0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.077 * [taylor]: Taking taylor expansion of x in x
0.077 * [taylor]: Taking taylor expansion of y in x
0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.077 * [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
0.078 * [taylor]: Taking taylor expansion of 1 in y
0.079 * [taylor]: Taking taylor expansion of 0 in y
0.079 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.079 * [taylor]: Taking taylor expansion of x in y
0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.079 * [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
0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.080 * [taylor]: Taking taylor expansion of y in x
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 in y
0.082 * [taylor]: Taking taylor expansion of 0 in y
0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.083 * [taylor]: Taking taylor expansion of y in y
0.085 * [taylor]: Taking taylor expansion of 0 in y
0.087 * [taylor]: Taking taylor expansion of 0 in y
0.087 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.087 * [taylor]: Taking taylor expansion of x in y
0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.087 * [taylor]: Taking taylor expansion of y in y
0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.087 * [taylor]: Taking taylor expansion of x in x
0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.088 * [taylor]: Taking taylor expansion of y in x
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 in y
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.094 * [taylor]: Taking taylor expansion of y in y
0.096 * [taylor]: Taking taylor expansion of 0 in y
0.098 * [taylor]: Taking taylor expansion of 0 in y
0.098 * * * [progress]: simplifying candidates
0.099 * [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)
0.103 * * [simplify]: iteration  0 :  153  enodes  (cost  160 )
0.106 * * [simplify]: iteration  1 :  518  enodes  (cost  146 )
0.115 * * [simplify]: iteration  2 :  1716  enodes  (cost  138 )
0.149 * * [simplify]: iteration  3 :  5002  enodes  (cost  136 )
0.151 * [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)
0.151 * * * [progress]: adding candidates to table
0.231 * * [progress]: iteration 2 / 4
0.231 * * * [progress]: picking best candidate
0.234 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
0.234 * * * [progress]: localizing error
0.238 * * * [progress]: generating rewritten candidates
0.238 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.239 * * * [progress]: generating series expansions
0.239 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.239 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0
0.239 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x
0.239 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
0.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.239 * [taylor]: Taking taylor expansion of 1/2 in x
0.239 * [taylor]: Taking taylor expansion of (/ y x) in x
0.239 * [taylor]: Taking taylor expansion of y in x
0.239 * [taylor]: Taking taylor expansion of x in x
0.239 * [taylor]: Taking taylor expansion of x in x
0.239 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
0.239 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
0.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.239 * [taylor]: Taking taylor expansion of 1/2 in y
0.239 * [taylor]: Taking taylor expansion of (/ y x) in y
0.239 * [taylor]: Taking taylor expansion of y in y
0.239 * [taylor]: Taking taylor expansion of x in y
0.239 * [taylor]: Taking taylor expansion of x in y
0.239 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
0.239 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
0.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.239 * [taylor]: Taking taylor expansion of 1/2 in y
0.239 * [taylor]: Taking taylor expansion of (/ y x) in y
0.239 * [taylor]: Taking taylor expansion of y in y
0.240 * [taylor]: Taking taylor expansion of x in y
0.240 * [taylor]: Taking taylor expansion of x in y
0.240 * [taylor]: Taking taylor expansion of x in x
0.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
0.240 * [taylor]: Taking taylor expansion of 1/2 in x
0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.240 * [taylor]: Taking taylor expansion of x in x
0.241 * [taylor]: Taking taylor expansion of 0 in x
0.243 * [taylor]: Taking taylor expansion of 0 in x
0.245 * [taylor]: Taking taylor expansion of 0 in x
0.246 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0
0.246 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x
0.246 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
0.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.246 * [taylor]: Taking taylor expansion of 1/2 in x
0.246 * [taylor]: Taking taylor expansion of (/ x y) in x
0.246 * [taylor]: Taking taylor expansion of x in x
0.246 * [taylor]: Taking taylor expansion of y in x
0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.246 * [taylor]: Taking taylor expansion of x in x
0.246 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
0.247 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
0.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.247 * [taylor]: Taking taylor expansion of 1/2 in y
0.247 * [taylor]: Taking taylor expansion of (/ x y) in y
0.247 * [taylor]: Taking taylor expansion of x in y
0.247 * [taylor]: Taking taylor expansion of y in y
0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.247 * [taylor]: Taking taylor expansion of x in y
0.247 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
0.247 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
0.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.247 * [taylor]: Taking taylor expansion of 1/2 in y
0.247 * [taylor]: Taking taylor expansion of (/ x y) in y
0.247 * [taylor]: Taking taylor expansion of x in y
0.247 * [taylor]: Taking taylor expansion of y in y
0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.247 * [taylor]: Taking taylor expansion of x in y
0.247 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.247 * [taylor]: Taking taylor expansion of 1/2 in x
0.247 * [taylor]: Taking taylor expansion of x in x
0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.248 * [taylor]: Taking taylor expansion of x in x
0.253 * [taylor]: Taking taylor expansion of 0 in x
0.255 * [taylor]: Taking taylor expansion of 0 in x
0.259 * [taylor]: Taking taylor expansion of 0 in x
0.260 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0
0.260 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x
0.260 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
0.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.260 * [taylor]: Taking taylor expansion of 1/2 in x
0.260 * [taylor]: Taking taylor expansion of (/ x y) in x
0.260 * [taylor]: Taking taylor expansion of x in x
0.260 * [taylor]: Taking taylor expansion of y in x
0.260 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.260 * [taylor]: Taking taylor expansion of -1 in x
0.260 * [taylor]: Taking taylor expansion of x in x
0.261 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
0.261 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
0.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.261 * [taylor]: Taking taylor expansion of 1/2 in y
0.261 * [taylor]: Taking taylor expansion of (/ x y) in y
0.261 * [taylor]: Taking taylor expansion of x in y
0.261 * [taylor]: Taking taylor expansion of y in y
0.261 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.261 * [taylor]: Taking taylor expansion of -1 in y
0.261 * [taylor]: Taking taylor expansion of x in y
0.261 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
0.261 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
0.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.261 * [taylor]: Taking taylor expansion of 1/2 in y
0.261 * [taylor]: Taking taylor expansion of (/ x y) in y
0.261 * [taylor]: Taking taylor expansion of x in y
0.261 * [taylor]: Taking taylor expansion of y in y
0.261 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.261 * [taylor]: Taking taylor expansion of -1 in y
0.261 * [taylor]: Taking taylor expansion of x in y
0.261 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.261 * [taylor]: Taking taylor expansion of 1/2 in x
0.261 * [taylor]: Taking taylor expansion of x in x
0.262 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.262 * [taylor]: Taking taylor expansion of x in x
0.264 * [taylor]: Taking taylor expansion of 0 in x
0.268 * [taylor]: Taking taylor expansion of 0 in x
0.272 * [taylor]: Taking taylor expansion of 0 in x
0.273 * * * [progress]: simplifying candidates
0.273 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (fma 1/2 (/ y x) x))
  (log1p (fma 1/2 (/ y x) x))
  (* 1/2 (/ y x))
  (log (fma 1/2 (/ y x) x))
  (exp (fma 1/2 (/ y x) x))
  (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x)))
  (cbrt (fma 1/2 (/ y x) x))
  (* (* (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x))
  (sqrt (fma 1/2 (/ y x) x))
  (sqrt (fma 1/2 (/ y x) x))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
0.276 * * [simplify]: iteration  0 :  21  enodes  (cost  44 )
0.278 * * [simplify]: iteration  1 :  48  enodes  (cost  39 )
0.280 * * [simplify]: iteration  2 :  156  enodes  (cost  39 )
0.283 * * [simplify]: iteration  3 :  585  enodes  (cost  39 )
0.297 * * [simplify]: iteration  4 :  2784  enodes  (cost  39 )
0.348 * * [simplify]: iteration  5 :  5001  enodes  (cost  39 )
0.349 * [simplify]: Simplified to:
   (expm1 (fma 1/2 (/ y x) x))
  (log1p (fma 1/2 (/ y x) x))
  (* 1/2 (/ y x))
  (log (fma 1/2 (/ y x) x))
  (exp (fma 1/2 (/ y x) x))
  (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x)))
  (cbrt (fma 1/2 (/ y x) x))
  (pow (fma 1/2 (/ y x) x) 3)
  (sqrt (fma 1/2 (/ y x) x))
  (sqrt (fma 1/2 (/ y x) x))
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
0.349 * * * [progress]: adding candidates to table
0.370 * * [progress]: iteration 3 / 4
0.370 * * * [progress]: picking best candidate
0.372 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.372 * * * [progress]: localizing error
0.377 * * * [progress]: generating rewritten candidates
0.377 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
0.380 * * * [progress]: generating series expansions
0.380 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
0.380 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.380 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.380 * [taylor]: Taking taylor expansion of x in y
0.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.380 * [taylor]: Taking taylor expansion of 1/2 in y
0.380 * [taylor]: Taking taylor expansion of (/ y x) in y
0.380 * [taylor]: Taking taylor expansion of y in y
0.380 * [taylor]: Taking taylor expansion of x in y
0.380 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.380 * [taylor]: Taking taylor expansion of x in x
0.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.380 * [taylor]: Taking taylor expansion of 1/2 in x
0.380 * [taylor]: Taking taylor expansion of (/ y x) in x
0.380 * [taylor]: Taking taylor expansion of y in x
0.380 * [taylor]: Taking taylor expansion of x in x
0.380 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.380 * [taylor]: Taking taylor expansion of x in x
0.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.380 * [taylor]: Taking taylor expansion of 1/2 in x
0.380 * [taylor]: Taking taylor expansion of (/ y x) in x
0.380 * [taylor]: Taking taylor expansion of y in x
0.380 * [taylor]: Taking taylor expansion of x in x
0.380 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.380 * [taylor]: Taking taylor expansion of 1/2 in y
0.380 * [taylor]: Taking taylor expansion of y in y
0.382 * [taylor]: Taking taylor expansion of 0 in y
0.384 * [taylor]: Taking taylor expansion of 1 in y
0.386 * [taylor]: Taking taylor expansion of 0 in y
0.387 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.387 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.387 * [taylor]: Taking taylor expansion of 1/2 in y
0.387 * [taylor]: Taking taylor expansion of (/ x y) in y
0.387 * [taylor]: Taking taylor expansion of x in y
0.387 * [taylor]: Taking taylor expansion of y in y
0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.387 * [taylor]: Taking taylor expansion of x in y
0.387 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.387 * [taylor]: Taking taylor expansion of 1/2 in x
0.387 * [taylor]: Taking taylor expansion of (/ x y) in x
0.387 * [taylor]: Taking taylor expansion of x in x
0.388 * [taylor]: Taking taylor expansion of y in x
0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.388 * [taylor]: Taking taylor expansion of x in x
0.388 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.388 * [taylor]: Taking taylor expansion of 1/2 in x
0.388 * [taylor]: Taking taylor expansion of (/ x y) in x
0.388 * [taylor]: Taking taylor expansion of x in x
0.388 * [taylor]: Taking taylor expansion of y in x
0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.388 * [taylor]: Taking taylor expansion of x in x
0.389 * [taylor]: Taking taylor expansion of 1 in y
0.389 * [taylor]: Taking taylor expansion of 0 in y
0.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.390 * [taylor]: Taking taylor expansion of 1/2 in y
0.390 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.390 * [taylor]: Taking taylor expansion of y in y
0.391 * [taylor]: Taking taylor expansion of 0 in y
0.396 * [taylor]: Taking taylor expansion of 0 in y
0.396 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.396 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.396 * [taylor]: Taking taylor expansion of 1/2 in y
0.396 * [taylor]: Taking taylor expansion of (/ x y) in y
0.397 * [taylor]: Taking taylor expansion of x in y
0.397 * [taylor]: Taking taylor expansion of y in y
0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.397 * [taylor]: Taking taylor expansion of x in y
0.397 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.397 * [taylor]: Taking taylor expansion of 1/2 in x
0.397 * [taylor]: Taking taylor expansion of (/ x y) in x
0.397 * [taylor]: Taking taylor expansion of x in x
0.397 * [taylor]: Taking taylor expansion of y in x
0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.397 * [taylor]: Taking taylor expansion of x in x
0.397 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.397 * [taylor]: Taking taylor expansion of 1/2 in x
0.397 * [taylor]: Taking taylor expansion of (/ x y) in x
0.397 * [taylor]: Taking taylor expansion of x in x
0.397 * [taylor]: Taking taylor expansion of y in x
0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.397 * [taylor]: Taking taylor expansion of x in x
0.398 * [taylor]: Taking taylor expansion of -1 in y
0.399 * [taylor]: Taking taylor expansion of 0 in y
0.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.400 * [taylor]: Taking taylor expansion of 1/2 in y
0.400 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.400 * [taylor]: Taking taylor expansion of y in y
0.401 * [taylor]: Taking taylor expansion of 0 in y
0.404 * [taylor]: Taking taylor expansion of 0 in y
0.404 * * * [progress]: simplifying candidates
0.404 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (+ x (* 1/2 (/ y x))))
  (log1p (+ x (* 1/2 (/ y x))))
  (* (exp x) (exp (* 1/2 (/ y x))))
  (log (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (+ (pow x 3) (pow (* 1/2 (/ y x)) 3))
  (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x)))))
  (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x))))
  (- x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
0.408 * * [simplify]: iteration  0 :  88  enodes  (cost  84 )
0.411 * * [simplify]: iteration  1 :  322  enodes  (cost  70 )
0.418 * * [simplify]: iteration  2 :  1253  enodes  (cost  70 )
0.443 * * [simplify]: iteration  3 :  4552  enodes  (cost  70 )
0.518 * * [simplify]: iteration  4 :  5001  enodes  (cost  70 )
0.519 * [simplify]: Simplified to:
   (expm1 (+ x (* 1/2 (/ y x))))
  (log1p (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (log (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (pow (fma 1/2 (/ y x) x) 3)
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (fma 1/8 (pow (/ y x) 3) (pow x 3))
  (fma (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x) (* x x))
  (* (- x (* 1/2 (/ y x))) (fma 1/2 (/ y x) x))
  (- x (* 1/2 (/ y x)))
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
0.519 * * * [progress]: adding candidates to table
0.552 * [progress]: [Phase 3 of 3] Extracting.
0.552 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.552 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
0.552 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.569 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.586 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.608 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.628 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.653 * * * [regime]: Found split indices: #<option (#s(si 0 44) #s(si 1 202) #s(si 2 255))>
0.653 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.699 * [regimes]: Found splitpoints: (#s(sp 0 x -1.3399424880674952e+154) #s(sp 1 x 1.307478458726982e+114) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.700 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.3399424880674952e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 1.307478458726982e+114) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
0.700 * * [simplify]: iteration  0 :  23  enodes  (cost  9 )
0.701 * * [simplify]: iteration  1 :  30  enodes  (cost  9 )
0.701 * * [simplify]: iteration  2 :  32  enodes  (cost  9 )
0.701 * * [simplify]: iteration  3 :  32  enodes  (cost  9 )
0.701 * [simplify]: Simplified to:
   (if (<= x -1.3399424880674952e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 1.307478458726982e+114) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
1.181 * [regime-testing]: Baseline error score: 21.494811851481437
1.181 * [regime-testing]: Oracle error score: 0.002750343792974122
1.183 * [regime-testing]: End program error score: 0.09248124336968282
1.214 * [regime-testing]: Target error score: 0.5473513064214964