12.914 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.014 * * * [progress]: [2/2] Setting up program.
0.016 * [progress]: [Phase 2 of 3] Improving.
0.016 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) y))
0.018 * * [simplify]: iteration  0 :  7  enodes  (cost  3 )
0.019 * * [simplify]: iteration  1 :  7  enodes  (cost  3 )
0.019 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.020 * * [progress]: iteration 1 / 4
0.020 * * * [progress]: picking best candidate
0.021 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.021 * * * [progress]: localizing error
0.026 * * * [progress]: generating rewritten candidates
0.026 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.031 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.034 * * * [progress]: generating series expansions
0.034 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.035 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.035 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.035 * [taylor]: Taking taylor expansion of x in y
0.035 * [taylor]: Taking taylor expansion of y in y
0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.036 * [taylor]: Taking taylor expansion of x in x
0.036 * [taylor]: Taking taylor expansion of y in x
0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.036 * [taylor]: Taking taylor expansion of x in x
0.036 * [taylor]: Taking taylor expansion of y in x
0.037 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.037 * [taylor]: Taking taylor expansion of y in y
0.038 * [taylor]: Taking taylor expansion of 0 in y
0.039 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.039 * [taylor]: Taking taylor expansion of 1/2 in y
0.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.039 * [taylor]: Taking taylor expansion of y in y
0.044 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.044 * [taylor]: Taking taylor expansion of x in y
0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.044 * [taylor]: Taking taylor expansion of y in y
0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.046 * [taylor]: Taking taylor expansion of x in x
0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.046 * [taylor]: Taking taylor expansion of y in x
0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.049 * [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 1 in y
0.051 * [taylor]: Taking taylor expansion of 0 in y
0.053 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.053 * [taylor]: Taking taylor expansion of 1/2 in y
0.053 * [taylor]: Taking taylor expansion of y in y
0.059 * [taylor]: Taking taylor expansion of 0 in y
0.062 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.062 * [taylor]: Taking taylor expansion of -1/8 in y
0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.063 * [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
0.066 * [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 (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.069 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.069 * [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
0.071 * [taylor]: Taking taylor expansion of 1 in y
0.071 * [taylor]: Taking taylor expansion of 0 in y
0.073 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.074 * [taylor]: Taking taylor expansion of -1/2 in y
0.074 * [taylor]: Taking taylor expansion of y in y
0.076 * [taylor]: Taking taylor expansion of 0 in y
0.079 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.079 * [taylor]: Taking taylor expansion of -1/8 in y
0.079 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.079 * [taylor]: Taking taylor expansion of y in y
0.080 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.080 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in y
0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.081 * [taylor]: Taking taylor expansion of x in x
0.081 * [taylor]: Taking taylor expansion of y in x
0.081 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.081 * [taylor]: Taking taylor expansion of x in x
0.081 * [taylor]: Taking taylor expansion of y in x
0.081 * [taylor]: Taking taylor expansion of y in y
0.081 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [taylor]: Taking taylor expansion of 1 in y
0.082 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.083 * [taylor]: Taking taylor expansion of x in y
0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.083 * [taylor]: Taking taylor expansion of y in y
0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.084 * [taylor]: Taking taylor expansion of 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
0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.084 * [taylor]: Taking taylor expansion of y in x
0.085 * [taylor]: Taking taylor expansion of 1 in y
0.086 * [taylor]: Taking taylor expansion of 0 in y
0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.087 * [taylor]: Taking taylor expansion of y in y
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.091 * [taylor]: Taking taylor expansion of 0 in y
0.091 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.091 * [taylor]: Taking taylor expansion of x in y
0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.091 * [taylor]: Taking taylor expansion of y in y
0.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.092 * [taylor]: Taking taylor expansion of x in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.092 * [taylor]: Taking taylor expansion of y in x
0.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.092 * [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 in y
0.094 * [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
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.101 * * * [progress]: simplifying candidates
0.101 * [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)
0.105 * * [simplify]: iteration  0 :  153  enodes  (cost  160 )
0.109 * * [simplify]: iteration  1 :  518  enodes  (cost  146 )
0.118 * * [simplify]: iteration  2 :  1716  enodes  (cost  138 )
0.154 * * [simplify]: iteration  3 :  5002  enodes  (cost  136 )
0.156 * [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)
0.156 * * * [progress]: adding candidates to table
0.245 * * [progress]: iteration 2 / 4
0.245 * * * [progress]: picking best candidate
0.249 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (fma x x y)))>
0.249 * * * [progress]: localizing error
0.253 * * * [progress]: generating rewritten candidates
0.253 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.254 * * * [progress]: generating series expansions
0.254 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.255 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0
0.255 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y
0.255 * [taylor]: Taking taylor expansion of (fma x x y) in y
0.255 * [taylor]: Rewrote expression to (+ (* x x) y)
0.255 * [taylor]: Taking taylor expansion of (* x x) in y
0.255 * [taylor]: Taking taylor expansion of x in y
0.255 * [taylor]: Taking taylor expansion of x in y
0.255 * [taylor]: Taking taylor expansion of y in y
0.256 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.256 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.256 * [taylor]: Rewrote expression to (+ (* x x) y)
0.256 * [taylor]: Taking taylor expansion of (* x x) in x
0.256 * [taylor]: Taking taylor expansion of x in x
0.256 * [taylor]: Taking taylor expansion of x in x
0.256 * [taylor]: Taking taylor expansion of y in x
0.257 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.257 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.257 * [taylor]: Rewrote expression to (+ (* x x) y)
0.257 * [taylor]: Taking taylor expansion of (* x x) in x
0.257 * [taylor]: Taking taylor expansion of x in x
0.257 * [taylor]: Taking taylor expansion of x in x
0.257 * [taylor]: Taking taylor expansion of y in x
0.258 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.258 * [taylor]: Taking taylor expansion of y in y
0.260 * [taylor]: Taking taylor expansion of 0 in y
0.261 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.261 * [taylor]: Taking taylor expansion of 1/2 in y
0.261 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.261 * [taylor]: Taking taylor expansion of y in y
0.266 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0
0.267 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y
0.267 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y
0.267 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.267 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.267 * [taylor]: Taking taylor expansion of x in y
0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.267 * [taylor]: Taking taylor expansion of x in y
0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.267 * [taylor]: Taking taylor expansion of y in y
0.269 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.269 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.269 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.269 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.269 * [taylor]: Taking taylor expansion of x in x
0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.269 * [taylor]: Taking taylor expansion of x in x
0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.269 * [taylor]: Taking taylor expansion of y in x
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 x in x
0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.273 * [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 y in x
0.276 * [taylor]: Taking taylor expansion of 1 in y
0.276 * [taylor]: Taking taylor expansion of 0 in y
0.278 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.278 * [taylor]: Taking taylor expansion of 1/2 in y
0.278 * [taylor]: Taking taylor expansion of y in y
0.281 * [taylor]: Taking taylor expansion of 0 in y
0.284 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.284 * [taylor]: Taking taylor expansion of -1/8 in y
0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.284 * [taylor]: Taking taylor expansion of y in y
0.286 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0
0.286 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y
0.286 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y
0.286 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.286 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.286 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.286 * [taylor]: Taking taylor expansion of -1 in y
0.286 * [taylor]: Taking taylor expansion of x in y
0.286 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.286 * [taylor]: Taking taylor expansion of -1 in y
0.286 * [taylor]: Taking taylor expansion of x in y
0.286 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.286 * [taylor]: Taking taylor expansion of -1 in y
0.286 * [taylor]: Taking taylor expansion of y in y
0.288 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.288 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.288 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.288 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.288 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.288 * [taylor]: Taking taylor expansion of -1 in x
0.288 * [taylor]: Taking taylor expansion of x in x
0.288 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.288 * [taylor]: Taking taylor expansion of -1 in x
0.288 * [taylor]: Taking taylor expansion of x in x
0.289 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.289 * [taylor]: Taking taylor expansion of -1 in x
0.289 * [taylor]: Taking taylor expansion of y in x
0.292 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.292 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.292 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.292 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.292 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.292 * [taylor]: Taking taylor expansion of -1 in x
0.292 * [taylor]: Taking taylor expansion of x in x
0.292 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.292 * [taylor]: Taking taylor expansion of -1 in x
0.292 * [taylor]: Taking taylor expansion of x in x
0.292 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.292 * [taylor]: Taking taylor expansion of -1 in x
0.292 * [taylor]: Taking taylor expansion of y in x
0.295 * [taylor]: Taking taylor expansion of 1 in y
0.295 * [taylor]: Taking taylor expansion of 0 in y
0.298 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.298 * [taylor]: Taking taylor expansion of -1/2 in y
0.298 * [taylor]: Taking taylor expansion of y in y
0.300 * [taylor]: Taking taylor expansion of 0 in y
0.304 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.304 * [taylor]: Taking taylor expansion of -1/8 in y
0.304 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.304 * [taylor]: Taking taylor expansion of y in y
0.305 * * * [progress]: simplifying candidates
0.306 * [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))))
0.309 * * [simplify]: iteration  0 :  76  enodes  (cost  64 )
0.311 * * [simplify]: iteration  1 :  185  enodes  (cost  59 )
0.315 * * [simplify]: iteration  2 :  616  enodes  (cost  58 )
0.329 * * [simplify]: iteration  3 :  2525  enodes  (cost  56 )
0.395 * * [simplify]: iteration  4 :  5001  enodes  (cost  56 )
0.396 * [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))))
0.396 * * * [progress]: adding candidates to table
0.434 * * [progress]: iteration 3 / 4
0.434 * * * [progress]: picking best candidate
0.437 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.437 * * * [progress]: localizing error
0.442 * * * [progress]: generating rewritten candidates
0.442 * * * [progress]: generating series expansions
0.442 * * * [progress]: simplifying candidates
0.442 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.445 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.445 * [simplify]: Simplified to:
   
0.445 * * * [progress]: adding candidates to table
0.445 * * [progress]: iteration 4 / 4
0.445 * * * [progress]: picking best candidate
0.447 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
0.447 * * * [progress]: localizing error
0.451 * * * [progress]: generating rewritten candidates
0.451 * * * [progress]: generating series expansions
0.451 * * * [progress]: simplifying candidates
0.451 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.454 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.454 * [simplify]: Simplified to:
   
0.454 * * * [progress]: adding candidates to table
0.454 * [progress]: [Phase 3 of 3] Extracting.
0.454 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (fma x x y)))>)
0.455 * * * [regime-changes]: Trying 2 branch expressions: (y x)
0.455 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (fma x x y)))>)
0.484 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (fma x x y)))>)
0.509 * * * [regime]: Found split indices: #<option (#s(si 1 61) #s(si 2 210) #s(si 0 255))>
0.510 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (fma x x y)))>)
0.555 * [regimes]: Found splitpoints: (#s(sp 1 x -1.3498784301045228e+154) #s(sp 2 x 7.197273515945126e+126) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (fma x x y)))>)
0.556 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.3498784301045228e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 7.197273515945126e+126) (sqrt (fma x x y)) (fma 1/2 (/ y x) x)))
0.556 * * [simplify]: iteration  0 :  21  enodes  (cost  8 )
0.557 * * [simplify]: iteration  1 :  28  enodes  (cost  8 )
0.557 * * [simplify]: iteration  2 :  30  enodes  (cost  8 )
0.557 * * [simplify]: iteration  3 :  30  enodes  (cost  8 )
0.558 * [simplify]: Simplified to:
   (if (<= x -1.3498784301045228e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 7.197273515945126e+126) (sqrt (fma x x y)) (fma 1/2 (/ y x) x)))
1.057 * [regime-testing]: Baseline error score: 21.277784723090388
1.057 * [regime-testing]: Oracle error score: 0.002250281285160645
1.059 * [regime-testing]: End program error score: 0.07207729455200623
1.089 * [regime-testing]: Target error score: 0.4709455906296374