26.061 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.014 * * * [progress]: [2/2] Setting up program.
0.015 * [progress]: [Phase 2 of 3] Improving.
0.016 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (sqrt (+ (* x x) y))
0.017 * * [simplify]: iteration  0 :  5  enodes  (cost  6 )
0.017 * * [simplify]: iteration  1 :  6  enodes  (cost  6 )
0.018 * * [simplify]: iteration  done :  6  enodes  (cost  6 )
0.018 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.018 * * [progress]: iteration 1 / 4
0.018 * * * [progress]: picking best candidate
0.020 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.020 * * * [progress]: localizing error
0.024 * * * [progress]: generating rewritten candidates
0.024 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.028 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.032 * * * [progress]: generating series expansions
0.032 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.032 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.032 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.032 * [taylor]: Taking taylor expansion of x in y
0.032 * [taylor]: Taking taylor expansion of y in y
0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.033 * [taylor]: Taking taylor expansion of x in x
0.033 * [taylor]: Taking taylor expansion of y in x
0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.033 * [taylor]: Taking taylor expansion of x in x
0.033 * [taylor]: Taking taylor expansion of y in x
0.034 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.034 * [taylor]: Taking taylor expansion of y in y
0.035 * [taylor]: Taking taylor expansion of 0 in y
0.036 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.036 * [taylor]: Taking taylor expansion of 1/2 in y
0.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.036 * [taylor]: Taking taylor expansion of y in y
0.041 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.041 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.041 * [taylor]: Taking taylor expansion of x in y
0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.041 * [taylor]: Taking taylor expansion of y in y
0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.043 * [taylor]: Taking taylor expansion of x in x
0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.043 * [taylor]: Taking taylor expansion of y in x
0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.045 * [taylor]: Taking taylor expansion of x in x
0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.045 * [taylor]: Taking taylor expansion of y in x
0.047 * [taylor]: Taking taylor expansion of 1 in y
0.047 * [taylor]: Taking taylor expansion of 0 in y
0.049 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.049 * [taylor]: Taking taylor expansion of 1/2 in y
0.049 * [taylor]: Taking taylor expansion of y in y
0.051 * [taylor]: Taking taylor expansion of 0 in y
0.054 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.054 * [taylor]: Taking taylor expansion of -1/8 in y
0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.054 * [taylor]: Taking taylor expansion of y in y
0.055 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.055 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.055 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.055 * [taylor]: Taking taylor expansion of x in y
0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.056 * [taylor]: Taking taylor expansion of y in y
0.057 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.057 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.057 * [taylor]: Taking taylor expansion of x in x
0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.058 * [taylor]: Taking taylor expansion of y in x
0.060 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.060 * [taylor]: Taking taylor expansion of x in x
0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.060 * [taylor]: Taking taylor expansion of y in x
0.062 * [taylor]: Taking taylor expansion of 1 in y
0.062 * [taylor]: Taking taylor expansion of 0 in y
0.064 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.064 * [taylor]: Taking taylor expansion of -1/2 in y
0.064 * [taylor]: Taking taylor expansion of y in y
0.066 * [taylor]: Taking taylor expansion of 0 in y
0.069 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.069 * [taylor]: Taking taylor expansion of -1/8 in y
0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.069 * [taylor]: Taking taylor expansion of y in y
0.071 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.071 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.071 * [taylor]: Taking taylor expansion of x in y
0.071 * [taylor]: Taking taylor expansion of y in y
0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.071 * [taylor]: Taking taylor expansion of x in x
0.071 * [taylor]: Taking taylor expansion of y in x
0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.071 * [taylor]: Taking taylor expansion of x in x
0.071 * [taylor]: Taking taylor expansion of y in x
0.071 * [taylor]: Taking taylor expansion of y in y
0.071 * [taylor]: Taking taylor expansion of 0 in y
0.072 * [taylor]: Taking taylor expansion of 1 in y
0.072 * [taylor]: Taking taylor expansion of 0 in y
0.073 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.073 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.073 * [taylor]: Taking taylor expansion of x in y
0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.073 * [taylor]: Taking taylor expansion of y in y
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.073 * [taylor]: Taking taylor expansion of x in x
0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.074 * [taylor]: Taking taylor expansion of y in x
0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.074 * [taylor]: Taking taylor expansion of x in x
0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.074 * [taylor]: Taking taylor expansion of y in x
0.075 * [taylor]: Taking taylor expansion of 1 in y
0.076 * [taylor]: Taking taylor expansion of 0 in y
0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.077 * [taylor]: Taking taylor expansion of y in y
0.078 * [taylor]: Taking taylor expansion of 0 in y
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.080 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.080 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.080 * [taylor]: Taking taylor expansion of x in y
0.081 * [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
0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.081 * [taylor]: Taking taylor expansion of y in x
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
0.086 * [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 (/ 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
0.093 * * * [progress]: simplifying candidates
0.093 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (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)))
  (* (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)
0.095 * * [simplify]: iteration  0 :  59  enodes  (cost  319 )
0.106 * * [simplify]: iteration  1 :  141  enodes  (cost  294 )
0.131 * * [simplify]: iteration  2 :  385  enodes  (cost  258 )
0.265 * * [simplify]: iteration  3 :  1086  enodes  (cost  255 )
0.981 * * [simplify]: iteration  4 :  3572  enodes  (cost  254 )
2.831 * * [simplify]: iteration  done :  5001  enodes  (cost  254 )
2.831 * [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 y 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* y (- y (* x x)))))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* 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 (+ y (* x x)) 3)
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow y 3) (pow x 6))
  (+ (pow x 4) (* y (- y (* x x))))
  (- (pow x 4) (* y y))
  (- (* x x) y)
  (* (- (- (pow y 2) y) (pow x 2)) +nan.0)
  (+ x (* 1/2 (/ y x)))
  (- (* (/ y x) -1/2) x)
  (+ y (pow x 2))
  (+ y (pow x 2))
  (+ y (pow x 2))
2.831 * * * [progress]: adding candidates to table
2.903 * * [progress]: iteration 2 / 4
2.903 * * * [progress]: picking best candidate
2.905 * * * * [pick]: Picked  #<alt (λ (x y) (- (* (/ y x) -1/2) x))>
2.906 * * * [progress]: localizing error
2.910 * * * [progress]: generating rewritten candidates
2.910 * * * [progress]: generating series expansions
2.910 * * * [progress]: simplifying candidates
2.910 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   
2.911 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
2.911 * * [simplify]: iteration  done :  0  enodes  (cost  0 )
2.911 * [simplify]: Simplified to:
   
2.911 * * * [progress]: adding candidates to table
2.911 * * [progress]: iteration 3 / 4
2.911 * * * [progress]: picking best candidate
2.912 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
2.913 * * * [progress]: localizing error
2.917 * * * [progress]: generating rewritten candidates
2.917 * * * [progress]: generating series expansions
2.917 * * * [progress]: simplifying candidates
2.917 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   
2.918 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
2.918 * * [simplify]: iteration  done :  0  enodes  (cost  0 )
2.918 * [simplify]: Simplified to:
   
2.918 * * * [progress]: adding candidates to table
2.918 * [progress]: [Phase 3 of 3] Extracting.
2.918 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.919 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
2.919 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.933 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.952 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.971 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
2.994 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
3.017 * * * [regime]: Found split indices: #<option (#s(si 0 48) #s(si 2 191) #s(si 1 255))>
3.018 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
3.054 * [regimes]: Found splitpoints: (#s(sp 0 x -1.2815112109798557e+154) #s(sp 2 x 3.3825854527583296e+81) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
3.054 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (if (<= x -1.2815112109798557e+154) (- (* (/ y x) -1/2) x) (if (<= x 3.3825854527583296e+81) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
3.054 * * [simplify]: iteration  0 :  18  enodes  (cost  28 )
3.055 * * [simplify]: iteration  1 :  22  enodes  (cost  28 )
3.055 * * [simplify]: iteration  done :  22  enodes  (cost  28 )
3.056 * [simplify]: Simplified to:
   (if (<= x -1.2815112109798557e+154) (- (* (/ y x) -1/2) x) (if (<= x 3.3825854527583296e+81) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
3.522 * [regime-testing]: Baseline error score: 21.446680835104388
3.522 * [regime-testing]: Oracle error score: 0.006775587120554173
3.524 * [regime-testing]: End program error score: 0.2685258602828261
3.552 * [regime-testing]: Target error score: 0.4681879226130674