3.440 * [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-regraph> :
   (sqrt (+ (* x x) y))
0.016 * * [simplify]: iteration  0 :  5  enodes  (cost  6 )
0.017 * * [simplify]: iteration  1 :  7  enodes  (cost  5 )
0.018 * * [simplify]: iteration  done :  7  enodes  (cost  5 )
0.018 * [simplify]: Simplified to:
   (sqrt (fma x x y))
0.021 * * [progress]: iteration 1 / 4
0.021 * * * [progress]: picking best candidate
0.022 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (fma x x y)))>
0.022 * * * [progress]: localizing error
0.027 * * * [progress]: generating rewritten candidates
0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.028 * * * [progress]: generating series expansions
0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.028 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0
0.028 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y
0.028 * [taylor]: Taking taylor expansion of (fma x x y) in y
0.028 * [taylor]: Rewrote expression to (+ (* x x) y)
0.028 * [taylor]: Taking taylor expansion of (* x x) in y
0.028 * [taylor]: Taking taylor expansion of x in y
0.028 * [taylor]: Taking taylor expansion of x in y
0.028 * [taylor]: Taking taylor expansion of y in y
0.029 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.029 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.029 * [taylor]: Rewrote expression to (+ (* x x) y)
0.029 * [taylor]: Taking taylor expansion of (* x x) in x
0.029 * [taylor]: Taking taylor expansion of x in x
0.029 * [taylor]: Taking taylor expansion of x in x
0.029 * [taylor]: Taking taylor expansion of y in x
0.031 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.031 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.031 * [taylor]: Rewrote expression to (+ (* x x) y)
0.031 * [taylor]: Taking taylor expansion of (* x x) in x
0.031 * [taylor]: Taking taylor expansion of x in x
0.031 * [taylor]: Taking taylor expansion of x in x
0.031 * [taylor]: Taking taylor expansion of y in x
0.032 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.032 * [taylor]: Taking taylor expansion of y in y
0.033 * [taylor]: Taking taylor expansion of 0 in y
0.034 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.034 * [taylor]: Taking taylor expansion of 1/2 in y
0.034 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.034 * [taylor]: Taking taylor expansion of y in y
0.040 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0
0.040 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y
0.040 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y
0.040 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.040 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.040 * [taylor]: Taking taylor expansion of x in y
0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.040 * [taylor]: Taking taylor expansion of x in y
0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.040 * [taylor]: Taking taylor expansion of y in y
0.042 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.042 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.042 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.042 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.042 * [taylor]: Taking taylor expansion of x in x
0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.042 * [taylor]: Taking taylor expansion of x in x
0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.042 * [taylor]: Taking taylor expansion of y in x
0.045 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.045 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.045 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.046 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.046 * [taylor]: Taking taylor expansion of x in x
0.046 * [taylor]: Taking taylor expansion of (/ 1 x) 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
0.049 * [taylor]: Taking taylor expansion of 1 in y
0.049 * [taylor]: Taking taylor expansion of 0 in y
0.051 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.051 * [taylor]: Taking taylor expansion of 1/2 in y
0.051 * [taylor]: Taking taylor expansion of y in y
0.054 * [taylor]: Taking taylor expansion of 0 in y
0.057 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.057 * [taylor]: Taking taylor expansion of -1/8 in y
0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.057 * [taylor]: Taking taylor expansion of y in y
0.059 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0
0.059 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y
0.059 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y
0.059 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.059 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.059 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.059 * [taylor]: Taking taylor expansion of -1 in y
0.059 * [taylor]: Taking taylor expansion of x in y
0.059 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.059 * [taylor]: Taking taylor expansion of -1 in y
0.059 * [taylor]: Taking taylor expansion of x in y
0.059 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.059 * [taylor]: Taking taylor expansion of -1 in y
0.059 * [taylor]: Taking taylor expansion of y in y
0.061 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.061 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.061 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.061 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.061 * [taylor]: Taking taylor expansion of -1 in x
0.061 * [taylor]: Taking taylor expansion of x in x
0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.062 * [taylor]: Taking taylor expansion of -1 in x
0.062 * [taylor]: Taking taylor expansion of x in x
0.062 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.062 * [taylor]: Taking taylor expansion of -1 in x
0.062 * [taylor]: Taking taylor expansion of y in x
0.065 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.065 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.065 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.065 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.065 * [taylor]: Taking taylor expansion of -1 in x
0.065 * [taylor]: Taking taylor expansion of x in x
0.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.065 * [taylor]: Taking taylor expansion of -1 in x
0.065 * [taylor]: Taking taylor expansion of x in x
0.065 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.065 * [taylor]: Taking taylor expansion of -1 in x
0.065 * [taylor]: Taking taylor expansion of y in x
0.068 * [taylor]: Taking taylor expansion of 1 in y
0.068 * [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
0.074 * [taylor]: Taking taylor expansion of 0 in y
0.081 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.081 * [taylor]: Taking taylor expansion of -1/8 in y
0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.081 * [taylor]: Taking taylor expansion of y in y
0.083 * * * [progress]: simplifying candidates
0.083 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (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))))
0.085 * * [simplify]: iteration  0 :  37  enodes  (cost  145 )
0.092 * * [simplify]: iteration  1 :  75  enodes  (cost  127 )
0.102 * * [simplify]: iteration  2 :  175  enodes  (cost  120 )