27.323 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.015 * * * [progress]: [2/2] Setting up program.
0.017 * [progress]: [Phase 2 of 3] Improving.
0.018 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) y))
0.021 * * [simplify]: iteration  0 :  7  enodes  (cost  3 )
0.022 * * [simplify]: iteration  1 :  7  enodes  (cost  3 )
0.022 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.023 * * [progress]: iteration 1 / 4
0.023 * * * [progress]: picking best candidate
0.024 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.024 * * * [progress]: localizing error
0.029 * * * [progress]: generating rewritten candidates
0.029 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.033 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.038 * * * [progress]: generating series expansions
0.038 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.038 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.038 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.038 * [taylor]: Taking taylor expansion of x in y
0.038 * [taylor]: Taking taylor expansion of y in y
0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.039 * [taylor]: Taking taylor expansion of x in x
0.039 * [taylor]: Taking taylor expansion of y in x
0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.039 * [taylor]: Taking taylor expansion of x in x
0.039 * [taylor]: Taking taylor expansion of y in x
0.040 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.040 * [taylor]: Taking taylor expansion of y in y
0.041 * [taylor]: Taking taylor expansion of 0 in y
0.042 * [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
0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.048 * [taylor]: Taking taylor expansion of y in y
0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.049 * [taylor]: Taking taylor expansion of x in x
0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.050 * [taylor]: Taking taylor expansion of y in x
0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.052 * [taylor]: Taking taylor expansion of x in x
0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.052 * [taylor]: Taking taylor expansion of y in x
0.054 * [taylor]: Taking taylor expansion of 1 in y
0.054 * [taylor]: Taking taylor expansion of 0 in y
0.059 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.059 * [taylor]: Taking taylor expansion of 1/2 in y
0.059 * [taylor]: Taking taylor expansion of y in y
0.061 * [taylor]: Taking taylor expansion of 0 in y
0.064 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.064 * [taylor]: Taking taylor expansion of -1/8 in y
0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.064 * [taylor]: Taking taylor expansion of y in y
0.065 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.066 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.066 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.066 * [taylor]: Taking taylor expansion of x in y
0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.066 * [taylor]: Taking taylor expansion of y in y
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
0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.068 * [taylor]: Taking taylor expansion of y in x
0.070 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.070 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.070 * [taylor]: Taking taylor expansion of x in x
0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.071 * [taylor]: Taking taylor expansion of y in x
0.073 * [taylor]: Taking taylor expansion of 1 in y
0.073 * [taylor]: Taking taylor expansion of 0 in y
0.075 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.075 * [taylor]: Taking taylor expansion of -1/2 in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.077 * [taylor]: Taking taylor expansion of 0 in y
0.080 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.080 * [taylor]: Taking taylor expansion of -1/8 in y
0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.080 * [taylor]: Taking taylor expansion of y in y
0.082 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.082 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.082 * [taylor]: Taking taylor expansion of x in y
0.082 * [taylor]: Taking taylor expansion of y in y
0.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x
0.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x
0.082 * [taylor]: Taking taylor expansion of y in y
0.083 * [taylor]: Taking taylor expansion of 0 in y
0.083 * [taylor]: Taking taylor expansion of 1 in y
0.084 * [taylor]: Taking taylor expansion of 0 in y
0.084 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.084 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.084 * [taylor]: Taking taylor expansion of x in y
0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.084 * [taylor]: Taking taylor expansion of y in y
0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.085 * [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
0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.085 * [taylor]: Taking taylor expansion of x in x
0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.086 * [taylor]: Taking taylor expansion of y in x
0.086 * [taylor]: Taking taylor expansion of 1 in y
0.087 * [taylor]: Taking taylor expansion of 0 in y
0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.088 * [taylor]: Taking taylor expansion of y in y
0.090 * [taylor]: Taking taylor expansion of 0 in y
0.092 * [taylor]: Taking taylor expansion of 0 in y
0.092 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.092 * [taylor]: Taking taylor expansion of x in y
0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.092 * [taylor]: Taking taylor expansion of y in y
0.093 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.093 * [taylor]: Taking taylor expansion of y in x
0.093 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.094 * [taylor]: Taking taylor expansion of y in x
0.094 * [taylor]: Taking taylor expansion of 1 in y
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.096 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.096 * [taylor]: Taking taylor expansion of y in y
0.098 * [taylor]: Taking taylor expansion of 0 in y
0.101 * [taylor]: Taking taylor expansion of 0 in y
0.101 * * * [progress]: simplifying candidates
0.102 * [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)
0.106 * * [simplify]: iteration  0 :  153  enodes  (cost  160 )
0.110 * * [simplify]: iteration  1 :  518  enodes  (cost  146 )
0.119 * * [simplify]: iteration  2 :  1716  enodes  (cost  138 )
0.154 * * [simplify]: iteration  3 :  5002  enodes  (cost  137 )
0.155 * [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)))
  (sqrt 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)
0.155 * * * [progress]: adding candidates to table
0.227 * * [progress]: iteration 2 / 4
0.227 * * * [progress]: picking best candidate
0.230 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
0.230 * * * [progress]: localizing error
0.234 * * * [progress]: generating rewritten candidates
0.234 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.235 * * * [progress]: generating series expansions
0.235 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.235 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0
0.235 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x
0.236 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
0.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.236 * [taylor]: Taking taylor expansion of 1/2 in x
0.236 * [taylor]: Taking taylor expansion of (/ y x) in x
0.236 * [taylor]: Taking taylor expansion of y in x
0.236 * [taylor]: Taking taylor expansion of x in x
0.236 * [taylor]: Taking taylor expansion of x in x
0.236 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
0.236 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
0.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.236 * [taylor]: Taking taylor expansion of 1/2 in y
0.236 * [taylor]: Taking taylor expansion of (/ y x) in y
0.236 * [taylor]: Taking taylor expansion of y in y
0.236 * [taylor]: Taking taylor expansion of x in y
0.236 * [taylor]: Taking taylor expansion of x in y
0.236 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
0.236 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
0.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.236 * [taylor]: Taking taylor expansion of 1/2 in y
0.236 * [taylor]: Taking taylor expansion of (/ y x) in y
0.236 * [taylor]: Taking taylor expansion of y in y
0.236 * [taylor]: Taking taylor expansion of x in y
0.236 * [taylor]: Taking taylor expansion of x in y
0.236 * [taylor]: Taking taylor expansion of x in x
0.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
0.236 * [taylor]: Taking taylor expansion of 1/2 in x
0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.236 * [taylor]: Taking taylor expansion of x in x
0.238 * [taylor]: Taking taylor expansion of 0 in x
0.240 * [taylor]: Taking taylor expansion of 0 in x
0.242 * [taylor]: Taking taylor expansion of 0 in x
0.243 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0
0.243 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x
0.243 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
0.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.243 * [taylor]: Taking taylor expansion of 1/2 in x
0.243 * [taylor]: Taking taylor expansion of (/ x y) in x
0.243 * [taylor]: Taking taylor expansion of x in x
0.243 * [taylor]: Taking taylor expansion of y in x
0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.243 * [taylor]: Taking taylor expansion of x in x
0.244 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
0.244 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
0.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.244 * [taylor]: Taking taylor expansion of 1/2 in y
0.244 * [taylor]: Taking taylor expansion of (/ x y) in y
0.244 * [taylor]: Taking taylor expansion of x in y
0.244 * [taylor]: Taking taylor expansion of y in y
0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.244 * [taylor]: Taking taylor expansion of x in y
0.244 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
0.244 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
0.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.244 * [taylor]: Taking taylor expansion of 1/2 in y
0.244 * [taylor]: Taking taylor expansion of (/ x y) in y
0.244 * [taylor]: Taking taylor expansion of x in y
0.244 * [taylor]: Taking taylor expansion of y in y
0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.244 * [taylor]: Taking taylor expansion of x in y
0.244 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.244 * [taylor]: Taking taylor expansion of 1/2 in x
0.244 * [taylor]: Taking taylor expansion of x in x
0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.247 * [taylor]: Taking taylor expansion of 0 in x
0.251 * [taylor]: Taking taylor expansion of 0 in x
0.254 * [taylor]: Taking taylor expansion of 0 in x
0.255 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0
0.255 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x
0.255 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
0.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.255 * [taylor]: Taking taylor expansion of 1/2 in x
0.255 * [taylor]: Taking taylor expansion of (/ x y) in x
0.255 * [taylor]: Taking taylor expansion of x in x
0.255 * [taylor]: Taking taylor expansion of y in x
0.255 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.255 * [taylor]: Taking taylor expansion of -1 in x
0.256 * [taylor]: Taking taylor expansion of x in x
0.256 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
0.256 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
0.256 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.256 * [taylor]: Taking taylor expansion of 1/2 in y
0.256 * [taylor]: Taking taylor expansion of (/ x y) in y
0.256 * [taylor]: Taking taylor expansion of x in y
0.256 * [taylor]: Taking taylor expansion of y in y
0.256 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.256 * [taylor]: Taking taylor expansion of -1 in y
0.256 * [taylor]: Taking taylor expansion of x in y
0.256 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
0.256 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
0.256 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.256 * [taylor]: Taking taylor expansion of 1/2 in y
0.256 * [taylor]: Taking taylor expansion of (/ x y) in y
0.256 * [taylor]: Taking taylor expansion of x in y
0.256 * [taylor]: Taking taylor expansion of y in y
0.256 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.256 * [taylor]: Taking taylor expansion of -1 in y
0.256 * [taylor]: Taking taylor expansion of x in y
0.257 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.257 * [taylor]: Taking taylor expansion of 1/2 in x
0.257 * [taylor]: Taking taylor expansion of x in x
0.261 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.261 * [taylor]: Taking taylor expansion of x in x
0.263 * [taylor]: Taking taylor expansion of 0 in x
0.267 * [taylor]: Taking taylor expansion of 0 in x
0.271 * [taylor]: Taking taylor expansion of 0 in x
0.272 * * * [progress]: simplifying candidates
0.272 * [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 )
0.277 * * [simplify]: iteration  1 :  48  enodes  (cost  39 )
0.279 * * [simplify]: iteration  2 :  156  enodes  (cost  39 )
0.283 * * [simplify]: iteration  3 :  585  enodes  (cost  39 )
0.298 * * [simplify]: iteration  4 :  2784  enodes  (cost  39 )
0.352 * * [simplify]: iteration  5 :  5001  enodes  (cost  39 )
0.353 * [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)
0.353 * * * [progress]: adding candidates to table
0.372 * * [progress]: iteration 3 / 4
0.372 * * * [progress]: picking best candidate
0.373 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.373 * * * [progress]: localizing error
0.378 * * * [progress]: generating rewritten candidates
0.379 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2)
0.386 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.390 * * * [progress]: generating series expansions
0.390 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2)
0.391 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0
0.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.391 * [taylor]: Taking taylor expansion of 1/2 in x
0.391 * [taylor]: Taking taylor expansion of (/ y x) in x
0.391 * [taylor]: Taking taylor expansion of y in x
0.391 * [taylor]: Taking taylor expansion of x in x
0.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.391 * [taylor]: Taking taylor expansion of 1/2 in y
0.391 * [taylor]: Taking taylor expansion of (/ y x) in y
0.391 * [taylor]: Taking taylor expansion of y in y
0.391 * [taylor]: Taking taylor expansion of x in y
0.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.391 * [taylor]: Taking taylor expansion of 1/2 in y
0.391 * [taylor]: Taking taylor expansion of (/ y x) in y
0.391 * [taylor]: Taking taylor expansion of y in y
0.391 * [taylor]: Taking taylor expansion of x in y
0.391 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.391 * [taylor]: Taking taylor expansion of 1/2 in x
0.391 * [taylor]: Taking taylor expansion of x in x
0.392 * [taylor]: Taking taylor expansion of 0 in x
0.393 * [taylor]: Taking taylor expansion of 0 in x
0.395 * [taylor]: Taking taylor expansion of 0 in x
0.395 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.395 * [taylor]: Taking taylor expansion of 1/2 in x
0.396 * [taylor]: Taking taylor expansion of (/ x y) in x
0.396 * [taylor]: Taking taylor expansion of x in x
0.396 * [taylor]: Taking taylor expansion of y in x
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
0.396 * [taylor]: Taking taylor expansion of x in y
0.396 * [taylor]: Taking taylor expansion of y 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
0.396 * [taylor]: Taking taylor expansion of x in y
0.396 * [taylor]: Taking taylor expansion of y in y
0.396 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.396 * [taylor]: Taking taylor expansion of 1/2 in x
0.396 * [taylor]: Taking taylor expansion of x in x
0.397 * [taylor]: Taking taylor expansion of 0 in x
0.399 * [taylor]: Taking taylor expansion of 0 in x
0.402 * [taylor]: Taking taylor expansion of 0 in x
0.402 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0
0.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.402 * [taylor]: Taking taylor expansion of 1/2 in x
0.402 * [taylor]: Taking taylor expansion of (/ x y) in x
0.402 * [taylor]: Taking taylor expansion of x in x
0.402 * [taylor]: Taking taylor expansion of y in x
0.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.402 * [taylor]: Taking taylor expansion of 1/2 in y
0.402 * [taylor]: Taking taylor expansion of (/ x y) in y
0.402 * [taylor]: Taking taylor expansion of x in y
0.402 * [taylor]: Taking taylor expansion of y in y
0.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.402 * [taylor]: Taking taylor expansion of 1/2 in y
0.402 * [taylor]: Taking taylor expansion of (/ x y) in y
0.402 * [taylor]: Taking taylor expansion of x in y
0.402 * [taylor]: Taking taylor expansion of y in y
0.402 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.402 * [taylor]: Taking taylor expansion of 1/2 in x
0.402 * [taylor]: Taking taylor expansion of x in x
0.404 * [taylor]: Taking taylor expansion of 0 in x
0.406 * [taylor]: Taking taylor expansion of 0 in x
0.408 * [taylor]: Taking taylor expansion of 0 in x
0.409 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.409 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.409 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.409 * [taylor]: Taking taylor expansion of x in y
0.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.409 * [taylor]: Taking taylor expansion of 1/2 in y
0.409 * [taylor]: Taking taylor expansion of (/ y x) in y
0.409 * [taylor]: Taking taylor expansion of y in y
0.409 * [taylor]: Taking taylor expansion of x in y
0.409 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.409 * [taylor]: Taking taylor expansion of x in x
0.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.409 * [taylor]: Taking taylor expansion of 1/2 in x
0.409 * [taylor]: Taking taylor expansion of (/ y x) in x
0.409 * [taylor]: Taking taylor expansion of y in x
0.409 * [taylor]: Taking taylor expansion of x in x
0.409 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.409 * [taylor]: Taking taylor expansion of x in x
0.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.409 * [taylor]: Taking taylor expansion of 1/2 in x
0.409 * [taylor]: Taking taylor expansion of (/ y x) in x
0.409 * [taylor]: Taking taylor expansion of y in x
0.409 * [taylor]: Taking taylor expansion of x in x
0.409 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.409 * [taylor]: Taking taylor expansion of 1/2 in y
0.409 * [taylor]: Taking taylor expansion of y in y
0.411 * [taylor]: Taking taylor expansion of 0 in y
0.413 * [taylor]: Taking taylor expansion of 1 in y
0.416 * [taylor]: Taking taylor expansion of 0 in y
0.416 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.417 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.417 * [taylor]: Taking taylor expansion of 1/2 in y
0.417 * [taylor]: Taking taylor expansion of (/ x y) in y
0.417 * [taylor]: Taking taylor expansion of x in y
0.417 * [taylor]: Taking taylor expansion of y in y
0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.417 * [taylor]: Taking taylor expansion of x in y
0.417 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.417 * [taylor]: Taking taylor expansion of 1/2 in x
0.417 * [taylor]: Taking taylor expansion of (/ x y) in x
0.417 * [taylor]: Taking taylor expansion of x in x
0.417 * [taylor]: Taking taylor expansion of y in x
0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.417 * [taylor]: Taking taylor expansion of x in x
0.420 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.420 * [taylor]: Taking taylor expansion of 1/2 in x
0.420 * [taylor]: Taking taylor expansion of (/ x y) in x
0.420 * [taylor]: Taking taylor expansion of x in x
0.420 * [taylor]: Taking taylor expansion of y in x
0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.420 * [taylor]: Taking taylor expansion of x in x
0.421 * [taylor]: Taking taylor expansion of 1 in y
0.422 * [taylor]: Taking taylor expansion of 0 in y
0.422 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.422 * [taylor]: Taking taylor expansion of 1/2 in y
0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.422 * [taylor]: Taking taylor expansion of y in y
0.424 * [taylor]: Taking taylor expansion of 0 in y
0.426 * [taylor]: Taking taylor expansion of 0 in y
0.427 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.427 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.427 * [taylor]: Taking taylor expansion of 1/2 in y
0.427 * [taylor]: Taking taylor expansion of (/ x y) in y
0.427 * [taylor]: Taking taylor expansion of x in y
0.427 * [taylor]: Taking taylor expansion of y in y
0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.427 * [taylor]: Taking taylor expansion of x in y
0.427 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.427 * [taylor]: Taking taylor expansion of 1/2 in x
0.427 * [taylor]: Taking taylor expansion of (/ x y) in x
0.427 * [taylor]: Taking taylor expansion of x in x
0.427 * [taylor]: Taking taylor expansion of y in x
0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.427 * [taylor]: Taking taylor expansion of x in x
0.427 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.427 * [taylor]: Taking taylor expansion of 1/2 in x
0.427 * [taylor]: Taking taylor expansion of (/ x y) in x
0.427 * [taylor]: Taking taylor expansion of x in x
0.427 * [taylor]: Taking taylor expansion of y in x
0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.427 * [taylor]: Taking taylor expansion of x in x
0.428 * [taylor]: Taking taylor expansion of -1 in y
0.429 * [taylor]: Taking taylor expansion of 0 in y
0.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.430 * [taylor]: Taking taylor expansion of 1/2 in y
0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.430 * [taylor]: Taking taylor expansion of y in y
0.432 * [taylor]: Taking taylor expansion of 0 in y
0.434 * [taylor]: Taking taylor expansion of 0 in y
0.435 * * * [progress]: simplifying candidates
0.435 * [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)
  (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)))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
0.440 * * [simplify]: iteration  0 :  230  enodes  (cost  213 )
0.446 * * [simplify]: iteration  1 :  988  enodes  (cost  194 )
0.468 * * [simplify]: iteration  2 :  4421  enodes  (cost  194 )
0.540 * * [simplify]: iteration  3 :  5001  enodes  (cost  194 )
0.542 * [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)))
  (pow (* 1/2 (/ y x)) 3)
  (pow (* 1/2 (/ y x)) 3)
  (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x))))
  (cbrt (* 1/2 (/ y x)))
  (pow (* 1/2 (/ y x)) 3)
  (sqrt (* 1/2 (/ y x)))
  (sqrt (* 1/2 (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (sqrt (/ y x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt 1/2) (/ (sqrt y) (sqrt x)))
  (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* 1/2 (sqrt (/ y x)))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* (* (cbrt y) (cbrt y)) 1/2)
  (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* 1/2 (/ (sqrt y) (sqrt x)))
  (* (sqrt y) 1/2)
  (/ 1/2 (* (cbrt x) (cbrt x)))
  (/ 1/2 (sqrt x))
  1/2
  1/2
  (* 1/2 y)
  (* (cbrt 1/2) (/ y x))
  (* (sqrt 1/2) (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 y)
  (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)))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (* 1/2 (/ y x))
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
  (fma 1/2 (/ y x) x)
0.542 * * * [progress]: adding candidates to table
0.622 * [progress]: [Phase 3 of 3] Extracting.
0.622 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.622 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
0.622 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.637 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.657 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.677 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.714 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.736 * * * [regime]: Found split indices: #<option (#s(si 0 42) #s(si 2 175) #s(si 1 255))>
0.736 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.782 * [regimes]: Found splitpoints: (#s(sp 0 x -1.324355824971499e+154) #s(sp 2 x 4.8328616978417944e+45) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.782 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.324355824971499e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 4.8328616978417944e+45) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
0.783 * * [simplify]: iteration  0 :  23  enodes  (cost  9 )
0.783 * * [simplify]: iteration  1 :  30  enodes  (cost  9 )
0.784 * * [simplify]: iteration  2 :  32  enodes  (cost  9 )
0.784 * * [simplify]: iteration  3 :  32  enodes  (cost  9 )
0.784 * [simplify]: Simplified to:
   (if (<= x -1.324355824971499e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 4.8328616978417944e+45) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
1.361 * [regime-testing]: Baseline error score: 21.83010376297037
1.362 * [regime-testing]: Oracle error score: 0.002875359419927491
1.363 * [regime-testing]: End program error score: 0.5681424317204739
1.396 * [regime-testing]: Target error score: 0.44219230091170203