13.456 * [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-regraph> :
   (sqrt (+ (* x x) y))
0.017 * * [simplify]: iteration  0 :  5  enodes  (cost  6 )
0.018 * * [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))
0.019 * * [progress]: iteration 1 / 4
0.019 * * * [progress]: picking best candidate
0.020 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.020 * * * [progress]: localizing error
0.027 * * * [progress]: generating rewritten candidates
0.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.032 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.035 * * * [progress]: generating series expansions
0.035 * * * * [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
0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.037 * [taylor]: Taking taylor expansion of x in x
0.037 * [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
0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.045 * [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
0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.047 * [taylor]: Taking taylor expansion of y in x
0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.049 * [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
0.055 * [taylor]: Taking taylor expansion of 0 in y
0.059 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.059 * [taylor]: Taking taylor expansion of -1/8 in y
0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.059 * [taylor]: Taking taylor expansion of y in y
0.060 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.060 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.060 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.060 * [taylor]: Taking taylor expansion of x in y
0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.060 * [taylor]: Taking taylor expansion of y in y
0.062 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.062 * [taylor]: Taking taylor expansion of x in x
0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.063 * [taylor]: Taking taylor expansion of y in x
0.065 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.065 * [taylor]: Taking taylor expansion of x in x
0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.066 * [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
0.070 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.070 * [taylor]: Taking taylor expansion of -1/2 in y
0.070 * [taylor]: Taking taylor expansion of y in y
0.072 * [taylor]: Taking taylor expansion of 0 in y
0.075 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.075 * [taylor]: Taking taylor expansion of -1/8 in y
0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.077 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.077 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.077 * [taylor]: Taking taylor expansion of x in y
0.077 * [taylor]: Taking taylor expansion of y in y
0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.077 * [taylor]: Taking taylor expansion of x in x
0.077 * [taylor]: Taking taylor expansion of y in x
0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.077 * [taylor]: Taking taylor expansion of x in x
0.077 * [taylor]: Taking taylor expansion of y in x
0.077 * [taylor]: Taking taylor expansion of y in y
0.077 * [taylor]: Taking taylor expansion of 0 in y
0.078 * [taylor]: Taking taylor expansion of 1 in y
0.078 * [taylor]: Taking taylor expansion of 0 in y
0.079 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.079 * [taylor]: Taking taylor expansion of x in y
0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.079 * [taylor]: Taking taylor expansion of y in y
0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.079 * [taylor]: Taking taylor expansion of x in x
0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.080 * [taylor]: Taking taylor expansion of y in x
0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.080 * [taylor]: Taking taylor expansion of x in x
0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.080 * [taylor]: Taking taylor expansion of y in x
0.081 * [taylor]: Taking taylor expansion of 1 in y
0.082 * [taylor]: Taking taylor expansion of 0 in y
0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.083 * [taylor]: Taking taylor expansion of y in y
0.085 * [taylor]: Taking taylor expansion of 0 in y
0.087 * [taylor]: Taking taylor expansion of 0 in y
0.087 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.087 * [taylor]: Taking taylor expansion of x in y
0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.087 * [taylor]: Taking taylor expansion of y in y
0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.087 * [taylor]: Taking taylor expansion of x in x
0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.088 * [taylor]: Taking taylor expansion of y in x
0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.088 * [taylor]: Taking taylor expansion of x in x
0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.089 * [taylor]: Taking taylor expansion of y in x
0.089 * [taylor]: Taking taylor expansion of 1 in y
0.090 * [taylor]: Taking taylor expansion of 0 in y
0.091 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.091 * [taylor]: Taking taylor expansion of y in y
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.096 * * * [progress]: simplifying candidates
0.096 * [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)
0.098 * * [simplify]: iteration  0 :  59  enodes  (cost  319 )
0.308 * * [simplify]: iteration  1 :  141  enodes  (cost  294 )
0.334 * * [simplify]: iteration  2 :  392  enodes  (cost  258 )
0.472 * * [simplify]: iteration  3 :  1168  enodes  (cost  255 )
1.341 * * [simplify]: iteration  4 :  4495  enodes  (cost  254 )
3.779 * * [simplify]: iteration  done :  5000  enodes  (cost  254 )
3.780 * [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)
  (* +nan.0 (- (- (* y y) y) (pow x 2)))
  (+ x (* 1/2 (/ y x)))
  (- (* (/ y x) -1/2) x)
  (+ y (pow x 2))
  (+ y (pow x 2))
  (+ y (pow x 2))
3.780 * * * [progress]: adding candidates to table
3.849 * * [progress]: iteration 2 / 4
3.849 * * * [progress]: picking best candidate
3.852 * * * * [pick]: Picked  #<alt (λ (x y) (- (* (/ y x) -1/2) x))>
3.852 * * * [progress]: localizing error
3.856 * * * [progress]: generating rewritten candidates
3.856 * * * [progress]: generating series expansions
3.856 * * * [progress]: simplifying candidates
3.857 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   
3.857 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
3.857 * * [simplify]: iteration  done :  0  enodes  (cost  0 )
3.857 * [simplify]: Simplified to:
   
3.857 * * * [progress]: adding candidates to table
3.858 * * [progress]: iteration 3 / 4
3.858 * * * [progress]: picking best candidate
3.859 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
3.859 * * * [progress]: localizing error
3.863 * * * [progress]: generating rewritten candidates
3.863 * * * [progress]: generating series expansions
3.864 * * * [progress]: simplifying candidates
3.864 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   
3.864 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
3.865 * * [simplify]: iteration  done :  0  enodes  (cost  0 )
3.865 * [simplify]: Simplified to:
   
3.865 * * * [progress]: adding candidates to table
3.865 * [progress]: [Phase 3 of 3] Extracting.
3.865 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
3.865 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
3.865 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
3.882 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
3.898 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
3.919 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
3.941 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
3.963 * * * [regime]: Found split indices: #<option (#s(si 2 48) #s(si 0 191) #s(si 1 255))>
3.963 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
4.001 * [regimes]: Found splitpoints: (#s(sp 2 x -1.2815112109798557e+154) #s(sp 0 x 3.3825854527583296e+81) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
4.001 * [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)))))
4.001 * * [simplify]: iteration  0 :  18  enodes  (cost  28 )
4.002 * * [simplify]: iteration  1 :  22  enodes  (cost  28 )
4.002 * * [simplify]: iteration  done :  22  enodes  (cost  28 )
4.003 * [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)))))
4.458 * [regime-testing]: Baseline error score: 21.446680835104388
4.459 * [regime-testing]: Oracle error score: 0.006775587120554173
4.460 * [regime-testing]: End program error score: 0.2685258602828261
4.491 * [regime-testing]: Target error score: 0.4681879226130674