25.171 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.013 * * * [progress]: [2/2] Setting up program.
0.014 * [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 )
0.016 * * [simplify]: iteration  1 :  7  enodes  (cost  5 )
0.017 * * [simplify]: iteration  done :  7  enodes  (cost  5 )
0.017 * [simplify]: Simplified to:
   (sqrt (fma 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
0.025 * * * [progress]: generating rewritten candidates
0.025 * * * * [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)
0.034 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.034 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.034 * [taylor]: Taking taylor expansion of x in y
0.034 * [taylor]: Taking taylor expansion of y in y
0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.035 * [taylor]: Taking taylor expansion of x in x
0.035 * [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
0.036 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.036 * [taylor]: Taking taylor expansion of y in y
0.037 * [taylor]: Taking taylor expansion of 0 in y
0.038 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.038 * [taylor]: Taking taylor expansion of 1/2 in y
0.038 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.038 * [taylor]: Taking taylor expansion of y in y
0.043 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.043 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.043 * [taylor]: Taking taylor expansion of x in y
0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.046 * [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
0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.065 * [taylor]: Taking taylor expansion of y in x
0.067 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.067 * [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
0.077 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.077 * [taylor]: Taking taylor expansion of -1/8 in y
0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.077 * [taylor]: Taking taylor expansion of y in y
0.078 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.078 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.078 * [taylor]: Taking taylor expansion of x in y
0.078 * [taylor]: Taking taylor expansion of y in y
0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.078 * [taylor]: Taking taylor expansion of x in x
0.079 * [taylor]: Taking taylor expansion of y in x
0.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.079 * [taylor]: Taking taylor expansion of x in x
0.079 * [taylor]: Taking taylor expansion of y in x
0.079 * [taylor]: Taking taylor expansion of y in y
0.079 * [taylor]: Taking taylor expansion of 0 in y
0.080 * [taylor]: Taking taylor expansion of 1 in y
0.081 * [taylor]: Taking taylor expansion of 0 in y
0.081 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.081 * [taylor]: Taking taylor expansion of x in y
0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.081 * [taylor]: Taking taylor expansion of y in y
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.081 * [taylor]: Taking taylor expansion of x in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.082 * [taylor]: Taking taylor expansion of y in x
0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.082 * [taylor]: Taking taylor expansion of x in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.083 * [taylor]: Taking taylor expansion of y in x
0.083 * [taylor]: Taking taylor expansion of 1 in y
0.084 * [taylor]: Taking taylor expansion of 0 in y
0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.085 * [taylor]: Taking taylor expansion of y in y
0.087 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.089 * [taylor]: Taking taylor expansion of x in y
0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.089 * [taylor]: Taking taylor expansion of y in y
0.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.089 * [taylor]: Taking taylor expansion of x in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.090 * [taylor]: Taking taylor expansion of y in x
0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.090 * [taylor]: Taking taylor expansion of x in x
0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.091 * [taylor]: Taking taylor expansion of y in x
0.091 * [taylor]: Taking taylor expansion of 1 in y
0.092 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.093 * [taylor]: Taking taylor expansion of y in y
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.098 * [taylor]: Taking taylor expansion of 0 in y
0.098 * * * [progress]: simplifying candidates
0.098 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (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)
0.101 * * [simplify]: iteration  0 :  63  enodes  (cost  345 )
0.112 * * [simplify]: iteration  1 :  152  enodes  (cost  284 )
0.144 * * [simplify]: iteration  2 :  426  enodes  (cost  250 )
0.318 * * [simplify]: iteration  3 :  1291  enodes  (cost  248 )
1.344 * * [simplify]: iteration  4 :  4289  enodes  (cost  247 )
3.429 * * [simplify]: iteration  done :  5001  enodes  (cost  247 )
3.429 * [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))
  (hypot (pow y 3/2) (pow x 3))
  (sqrt (fma y (- y (* x x)) (pow x 4)))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (expm1 (fma x x y))
  (log1p (fma x x y))
  (exp (fma x x y))
  (log (fma x x y))
  (exp (fma x x y))
  (* (cbrt (fma x x y)) (cbrt (fma x x y)))
  (cbrt (fma x x y))
  (pow (fma x x y) 3)
  (sqrt (fma x x y))
  (sqrt (fma x x y))
  (+ (pow y 3) (pow x 6))
  (fma y (- y (* x x)) (pow x 4))
  (- (pow x 4) (* y y))
  (- (* x x) y)
  (* +nan.0 (- (- (* y y) y) (pow x 2)))
  (fma 1/2 (/ y x) x)
  (- (fma 1/2 (/ y x) x))
  (fma x x y)
  (fma x x y)
  (fma x x y)
3.430 * * * [progress]: adding candidates to table
3.515 * * [progress]: iteration 2 / 4
3.515 * * * [progress]: picking best candidate
3.518 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
3.518 * * * [progress]: localizing error
3.522 * * * [progress]: generating rewritten candidates
3.522 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
3.523 * * * [progress]: generating series expansions
3.523 * * * * [progress]: [ 1 / 1 ] generating series at (2)
3.523 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0
3.523 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x
3.523 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
3.523 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
3.523 * [taylor]: Taking taylor expansion of 1/2 in x
3.523 * [taylor]: Taking taylor expansion of (/ y x) in x
3.523 * [taylor]: Taking taylor expansion of y in x
3.523 * [taylor]: Taking taylor expansion of x in x
3.523 * [taylor]: Taking taylor expansion of x in x
3.523 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
3.524 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
3.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
3.524 * [taylor]: Taking taylor expansion of 1/2 in y
3.524 * [taylor]: Taking taylor expansion of (/ y x) in y
3.524 * [taylor]: Taking taylor expansion of y in y
3.524 * [taylor]: Taking taylor expansion of x in y
3.524 * [taylor]: Taking taylor expansion of x in y
3.524 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
3.524 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
3.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
3.524 * [taylor]: Taking taylor expansion of 1/2 in y
3.524 * [taylor]: Taking taylor expansion of (/ y x) in y
3.524 * [taylor]: Taking taylor expansion of y in y
3.524 * [taylor]: Taking taylor expansion of x in y
3.524 * [taylor]: Taking taylor expansion of x in y
3.524 * [taylor]: Taking taylor expansion of x in x
3.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
3.524 * [taylor]: Taking taylor expansion of 1/2 in x
3.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.524 * [taylor]: Taking taylor expansion of x in x
3.526 * [taylor]: Taking taylor expansion of 0 in x
3.530 * [taylor]: Taking taylor expansion of 0 in x
3.532 * [taylor]: Taking taylor expansion of 0 in x
3.534 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0
3.534 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x
3.534 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
3.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
3.534 * [taylor]: Taking taylor expansion of 1/2 in x
3.534 * [taylor]: Taking taylor expansion of (/ x y) in x
3.534 * [taylor]: Taking taylor expansion of x in x
3.534 * [taylor]: Taking taylor expansion of y in x
3.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.534 * [taylor]: Taking taylor expansion of x in x
3.535 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
3.535 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
3.535 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
3.535 * [taylor]: Taking taylor expansion of 1/2 in y
3.535 * [taylor]: Taking taylor expansion of (/ x y) in y
3.535 * [taylor]: Taking taylor expansion of x in y
3.535 * [taylor]: Taking taylor expansion of y in y
3.535 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.535 * [taylor]: Taking taylor expansion of x in y
3.535 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
3.535 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
3.535 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
3.535 * [taylor]: Taking taylor expansion of 1/2 in y
3.535 * [taylor]: Taking taylor expansion of (/ x y) in y
3.535 * [taylor]: Taking taylor expansion of x in y
3.535 * [taylor]: Taking taylor expansion of y in y
3.535 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.535 * [taylor]: Taking taylor expansion of x in y
3.535 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.535 * [taylor]: Taking taylor expansion of 1/2 in x
3.535 * [taylor]: Taking taylor expansion of x in x
3.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.536 * [taylor]: Taking taylor expansion of x in x
3.539 * [taylor]: Taking taylor expansion of 0 in x
3.542 * [taylor]: Taking taylor expansion of 0 in x
3.546 * [taylor]: Taking taylor expansion of 0 in x
3.547 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0
3.547 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x
3.548 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
3.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
3.548 * [taylor]: Taking taylor expansion of 1/2 in x
3.548 * [taylor]: Taking taylor expansion of (/ x y) in x
3.548 * [taylor]: Taking taylor expansion of x in x
3.548 * [taylor]: Taking taylor expansion of y in x
3.548 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.548 * [taylor]: Taking taylor expansion of -1 in x
3.548 * [taylor]: Taking taylor expansion of x in x
3.548 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
3.548 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
3.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
3.548 * [taylor]: Taking taylor expansion of 1/2 in y
3.548 * [taylor]: Taking taylor expansion of (/ x y) in y
3.548 * [taylor]: Taking taylor expansion of x in y
3.548 * [taylor]: Taking taylor expansion of y in y
3.548 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.548 * [taylor]: Taking taylor expansion of -1 in y
3.548 * [taylor]: Taking taylor expansion of x in y
3.548 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
3.549 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
3.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
3.549 * [taylor]: Taking taylor expansion of 1/2 in y
3.549 * [taylor]: Taking taylor expansion of (/ x y) in y
3.549 * [taylor]: Taking taylor expansion of x in y
3.549 * [taylor]: Taking taylor expansion of y in y
3.549 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.549 * [taylor]: Taking taylor expansion of -1 in y
3.549 * [taylor]: Taking taylor expansion of x in y
3.549 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
3.549 * [taylor]: Taking taylor expansion of 1/2 in x
3.549 * [taylor]: Taking taylor expansion of x in x
3.550 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
3.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.550 * [taylor]: Taking taylor expansion of x in x
3.552 * [taylor]: Taking taylor expansion of 0 in x
3.556 * [taylor]: Taking taylor expansion of 0 in x
3.560 * [taylor]: Taking taylor expansion of 0 in x
3.561 * * * [progress]: simplifying candidates
3.562 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (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)))
3.563 * * [simplify]: iteration  0 :  16  enodes  (cost  110 )
3.565 * * [simplify]: iteration  1 :  21  enodes  (cost  107 )
3.567 * * [simplify]: iteration  2 :  47  enodes  (cost  95 )
3.576 * * [simplify]: iteration  3 :  128  enodes  (cost  95 )
3.610 * * [simplify]: iteration  4 :  455  enodes  (cost  95 )
3.854 * * [simplify]: iteration  5 :  1812  enodes  (cost  95 )
4.802 * * [simplify]: iteration  done :  5000  enodes  (cost  95 )
4.803 * [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)
4.803 * * * [progress]: adding candidates to table
4.825 * * [progress]: iteration 3 / 4
4.825 * * * [progress]: picking best candidate
4.827 * * * * [pick]: Picked  #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))>
4.827 * * * [progress]: localizing error
4.832 * * * [progress]: generating rewritten candidates
4.832 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
4.833 * * * [progress]: generating series expansions
4.833 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
4.833 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0
4.833 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x
4.833 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
4.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
4.833 * [taylor]: Taking taylor expansion of 1/2 in x
4.833 * [taylor]: Taking taylor expansion of (/ y x) in x
4.833 * [taylor]: Taking taylor expansion of y in x
4.833 * [taylor]: Taking taylor expansion of x in x
4.833 * [taylor]: Taking taylor expansion of x in x
4.833 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
4.834 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
4.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
4.834 * [taylor]: Taking taylor expansion of 1/2 in y
4.834 * [taylor]: Taking taylor expansion of (/ y x) in y
4.834 * [taylor]: Taking taylor expansion of y in y
4.834 * [taylor]: Taking taylor expansion of x in y
4.834 * [taylor]: Taking taylor expansion of x in y
4.834 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y
4.834 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x)
4.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
4.834 * [taylor]: Taking taylor expansion of 1/2 in y
4.834 * [taylor]: Taking taylor expansion of (/ y x) in y
4.834 * [taylor]: Taking taylor expansion of y in y
4.834 * [taylor]: Taking taylor expansion of x in y
4.834 * [taylor]: Taking taylor expansion of x in y
4.834 * [taylor]: Taking taylor expansion of x in x
4.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
4.834 * [taylor]: Taking taylor expansion of 1/2 in x
4.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.834 * [taylor]: Taking taylor expansion of x in x
4.836 * [taylor]: Taking taylor expansion of 0 in x
4.837 * [taylor]: Taking taylor expansion of 0 in x
4.840 * [taylor]: Taking taylor expansion of 0 in x
4.841 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0
4.841 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x
4.841 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
4.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.841 * [taylor]: Taking taylor expansion of 1/2 in x
4.841 * [taylor]: Taking taylor expansion of (/ x y) in x
4.841 * [taylor]: Taking taylor expansion of x in x
4.841 * [taylor]: Taking taylor expansion of y in x
4.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.841 * [taylor]: Taking taylor expansion of x in x
4.842 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
4.842 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
4.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.842 * [taylor]: Taking taylor expansion of 1/2 in y
4.842 * [taylor]: Taking taylor expansion of (/ x y) in y
4.842 * [taylor]: Taking taylor expansion of x in y
4.842 * [taylor]: Taking taylor expansion of y in y
4.842 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.842 * [taylor]: Taking taylor expansion of x in y
4.842 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y
4.842 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x))
4.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.842 * [taylor]: Taking taylor expansion of 1/2 in y
4.842 * [taylor]: Taking taylor expansion of (/ x y) in y
4.842 * [taylor]: Taking taylor expansion of x in y
4.842 * [taylor]: Taking taylor expansion of y in y
4.842 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.842 * [taylor]: Taking taylor expansion of x in y
4.842 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.842 * [taylor]: Taking taylor expansion of 1/2 in x
4.842 * [taylor]: Taking taylor expansion of x in x
4.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.843 * [taylor]: Taking taylor expansion of x in x
4.846 * [taylor]: Taking taylor expansion of 0 in x
4.849 * [taylor]: Taking taylor expansion of 0 in x
4.853 * [taylor]: Taking taylor expansion of 0 in x
4.853 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0
4.853 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x
4.854 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
4.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.854 * [taylor]: Taking taylor expansion of 1/2 in x
4.854 * [taylor]: Taking taylor expansion of (/ x y) in x
4.854 * [taylor]: Taking taylor expansion of x in x
4.854 * [taylor]: Taking taylor expansion of y in x
4.854 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.854 * [taylor]: Taking taylor expansion of -1 in x
4.854 * [taylor]: Taking taylor expansion of x in x
4.854 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
4.854 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
4.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.854 * [taylor]: Taking taylor expansion of 1/2 in y
4.854 * [taylor]: Taking taylor expansion of (/ x y) in y
4.854 * [taylor]: Taking taylor expansion of x in y
4.854 * [taylor]: Taking taylor expansion of y in y
4.854 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.854 * [taylor]: Taking taylor expansion of -1 in y
4.854 * [taylor]: Taking taylor expansion of x in y
4.855 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y
4.855 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x))
4.855 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.855 * [taylor]: Taking taylor expansion of 1/2 in y
4.855 * [taylor]: Taking taylor expansion of (/ x y) in y
4.855 * [taylor]: Taking taylor expansion of x in y
4.855 * [taylor]: Taking taylor expansion of y in y
4.855 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.855 * [taylor]: Taking taylor expansion of -1 in y
4.855 * [taylor]: Taking taylor expansion of x in y
4.855 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.855 * [taylor]: Taking taylor expansion of 1/2 in x
4.855 * [taylor]: Taking taylor expansion of x in x
4.856 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
4.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.856 * [taylor]: Taking taylor expansion of x in x
4.859 * [taylor]: Taking taylor expansion of 0 in x
4.862 * [taylor]: Taking taylor expansion of 0 in x
4.870 * [taylor]: Taking taylor expansion of 0 in x
4.871 * * * [progress]: simplifying candidates
4.871 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (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)))
4.872 * * [simplify]: iteration  0 :  16  enodes  (cost  110 )
4.874 * * [simplify]: iteration  1 :  21  enodes  (cost  107 )
4.876 * * [simplify]: iteration  2 :  47  enodes  (cost  95 )
4.885 * * [simplify]: iteration  3 :  128  enodes  (cost  95 )
4.915 * * [simplify]: iteration  4 :  455  enodes  (cost  95 )
5.348 * * [simplify]: iteration  5 :  1812  enodes  (cost  95 )
6.284 * * [simplify]: iteration  done :  5000  enodes  (cost  95 )
6.284 * [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)
6.284 * * * [progress]: adding candidates to table
6.310 * [progress]: [Phase 3 of 3] Extracting.
6.310 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.311 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
6.311 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.326 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.346 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.365 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.394 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.417 * * * [regime]: Found split indices: #<option (#s(si 0 38) #s(si 2 194) #s(si 1 255))>
6.418 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.468 * [regimes]: Found splitpoints: (#s(sp 0 x -1.3285272782249076e+154) #s(sp 2 x 1.2357322782900815e+112) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.468 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (if (<= x -1.3285272782249076e+154) (- (fma 1/2 (/ y x) x)) (if (<= x 1.2357322782900815e+112) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
6.469 * * [simplify]: iteration  0 :  15  enodes  (cost  27 )
6.469 * * [simplify]: iteration  1 :  16  enodes  (cost  27 )
6.470 * * [simplify]: iteration  done :  16  enodes  (cost  27 )
6.470 * [simplify]: Simplified to:
   (if (<= x -1.3285272782249076e+154) (- (fma 1/2 (/ y x) x)) (if (<= x 1.2357322782900815e+112) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
6.950 * [regime-testing]: Baseline error score: 20.966370796349544
6.951 * [regime-testing]: Oracle error score: 0.0030003750468808603
6.952 * [regime-testing]: End program error score: 0.09925656505926085
6.983 * [regime-testing]: Target error score: 0.42824559930467093