39.966 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.506 * * * [progress]: [2/2] Setting up program.
0.509 * [progress]: [Phase 2 of 3] Improving.
0.509 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) y))
0.511 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.512 * * [simplify]: iteration  1 :  6  enodes  (cost  3 )
0.512 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.513 * * [progress]: iteration 1 / 4
0.513 * * * [progress]: picking best candidate
0.515 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.515 * * * [progress]: localizing error
0.519 * * * [progress]: generating rewritten candidates
0.519 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.523 * * * [progress]: generating series expansions
0.523 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.524 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.524 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.524 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.524 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.524 * [taylor]: Taking taylor expansion of x in y
0.524 * [taylor]: Taking taylor expansion of y in y
0.524 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.524 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.524 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.524 * [taylor]: Taking taylor expansion of x in x
0.524 * [taylor]: Taking taylor expansion of y in x
0.524 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.524 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.524 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.524 * [taylor]: Taking taylor expansion of x in x
0.524 * [taylor]: Taking taylor expansion of y in x
0.524 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.524 * [taylor]: Taking taylor expansion of y in y
0.524 * [taylor]: Taking taylor expansion of 0 in y
0.525 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.525 * [taylor]: Taking taylor expansion of 1/2 in y
0.525 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.525 * [taylor]: Taking taylor expansion of y in y
0.525 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.525 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.525 * [taylor]: Taking taylor expansion of x in y
0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.525 * [taylor]: Taking taylor expansion of y in y
0.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.525 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.526 * [taylor]: Taking taylor expansion of x in x
0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.526 * [taylor]: Taking taylor expansion of y in x
0.526 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.526 * [taylor]: Taking taylor expansion of x in x
0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.526 * [taylor]: Taking taylor expansion of y in x
0.526 * [taylor]: Taking taylor expansion of 1 in y
0.526 * [taylor]: Taking taylor expansion of 0 in y
0.526 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.526 * [taylor]: Taking taylor expansion of 1/2 in y
0.526 * [taylor]: Taking taylor expansion of y in y
0.526 * [taylor]: Taking taylor expansion of 0 in y
0.527 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.527 * [taylor]: Taking taylor expansion of -1/8 in y
0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.527 * [taylor]: Taking taylor expansion of y in y
0.527 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.527 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.527 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.527 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.527 * [taylor]: Taking taylor expansion of x in y
0.527 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.527 * [taylor]: Taking taylor expansion of y in y
0.527 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.527 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.528 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.528 * [taylor]: Taking taylor expansion of x in x
0.528 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.528 * [taylor]: Taking taylor expansion of y in x
0.528 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.528 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.528 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.528 * [taylor]: Taking taylor expansion of x in x
0.528 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.528 * [taylor]: Taking taylor expansion of y in x
0.528 * [taylor]: Taking taylor expansion of 1 in y
0.528 * [taylor]: Taking taylor expansion of 0 in y
0.528 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.528 * [taylor]: Taking taylor expansion of -1/2 in y
0.528 * [taylor]: Taking taylor expansion of y in y
0.528 * [taylor]: Taking taylor expansion of 0 in y
0.529 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.529 * [taylor]: Taking taylor expansion of -1/8 in y
0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.529 * [taylor]: Taking taylor expansion of y in y
0.529 * * * [progress]: simplifying candidates
0.529 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (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)))
  (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN))))
  (+ x (* 1/2 (/ y x)))
  (neg (+ x (* 1/2 (/ y x))))
0.532 * * [simplify]: iteration  0 :  114  enodes  (cost  94 )
0.535 * * [simplify]: iteration  1 :  344  enodes  (cost  92 )
0.540 * * [simplify]: iteration  2 :  1037  enodes  (cost  90 )
0.565 * * [simplify]: iteration  3 :  4760  enodes  (cost  89 )
0.700 * * [simplify]: iteration  4 :  5001  enodes  (cost  89 )
0.701 * [simplify]: Simplified to:
   (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 (sqrt (+ (* x x) y)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  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)))
  (* NAN (+ (* (* NAN NAN) (pow y 2)) (+ (* 1/2 (pow x 2)) y)))
  (+ x (* 1/2 (/ y x)))
  (- (* -1/2 (/ y x)) x)
0.701 * * * [progress]: adding candidates to table
0.724 * * [progress]: iteration 2 / 4
0.724 * * * [progress]: picking best candidate
0.729 * * * * [pick]: Picked  #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>
0.729 * * * [progress]: localizing error
0.733 * * * [progress]: generating rewritten candidates
0.733 * * * [progress]: generating series expansions
0.733 * * * [progress]: simplifying candidates
0.734 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.736 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.736 * [simplify]: Simplified to:
   
0.736 * * * [progress]: adding candidates to table
0.736 * * [progress]: iteration 3 / 4
0.736 * * * [progress]: picking best candidate
0.738 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.739 * * * [progress]: localizing error
0.743 * * * [progress]: generating rewritten candidates
0.743 * * * [progress]: generating series expansions
0.743 * * * [progress]: simplifying candidates
0.743 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.746 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.746 * [simplify]: Simplified to:
   
0.746 * * * [progress]: adding candidates to table
0.746 * [progress]: [Phase 3 of 3] Extracting.
0.746 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.746 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
0.746 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.782 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.816 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.856 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.898 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.940 * * * [regime]: Found split indices: #<option (#s(si 1 44) #s(si 2 200) #s(si 0 255))>
0.941 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.984 * [regimes]: Found splitpoints: (#s(sp 1 x -1.3240883289774372e+154) #s(sp 2 x 2.9286979551295284e+107) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.984 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.3240883289774372e+154) (- (* -1/2 (/ y x)) x) (if (<= x 2.9286979551295284e+107) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
0.985 * * [simplify]: iteration  0 :  22  enodes  (cost  9 )
0.985 * * [simplify]: iteration  1 :  22  enodes  (cost  9 )
0.985 * [simplify]: Simplified to:
   (if (<= x -1.3240883289774372e+154) (- (* -1/2 (/ y x)) x) (if (<= x 2.9286979551295284e+107) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
2.280 * [regime-testing]: End program error score: 0.1388491468715257
2.370 * [regime-testing]: Target error score: 0.5581038023605377