20.780 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.024 * * * [progress]: [2/2] Setting up program.
0.027 * [progress]: [Phase 2 of 3] Improving.
0.027 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) y))
0.031 * * [simplify]: iteration  0 :  7  enodes  (cost  3 )
0.033 * * [simplify]: iteration  1 :  7  enodes  (cost  3 )
0.033 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.033 * * [progress]: iteration 1 / 4
0.033 * * * [progress]: picking best candidate
0.036 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.036 * * * [progress]: localizing error
0.044 * * * [progress]: generating rewritten candidates
0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.054 * * * [progress]: generating series expansions
0.054 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.054 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.054 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.054 * [taylor]: Taking taylor expansion of x in y
0.054 * [taylor]: Taking taylor expansion of y in y
0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.055 * [taylor]: Taking taylor expansion of x in x
0.055 * [taylor]: Taking taylor expansion of y in x
0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.055 * [taylor]: Taking taylor expansion of x in x
0.055 * [taylor]: Taking taylor expansion of y in x
0.056 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.056 * [taylor]: Taking taylor expansion of y in y
0.057 * [taylor]: Taking taylor expansion of 0 in y
0.058 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.058 * [taylor]: Taking taylor expansion of 1/2 in y
0.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.058 * [taylor]: Taking taylor expansion of y in y
0.063 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.063 * [taylor]: Taking taylor expansion of x in y
0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.063 * [taylor]: Taking taylor expansion of y in y
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
0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.065 * [taylor]: Taking taylor expansion of y in x
0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 y) in x
0.071 * [taylor]: Taking taylor expansion of y in x
0.073 * [taylor]: Taking taylor expansion of 1 in y
0.073 * [taylor]: Taking taylor expansion of 0 in y
0.075 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.075 * [taylor]: Taking taylor expansion of 1/2 in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.077 * [taylor]: Taking taylor expansion of 0 in y
0.080 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.080 * [taylor]: Taking taylor expansion of -1/8 in y
0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.080 * [taylor]: Taking taylor expansion of y in y
0.081 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.081 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
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
0.083 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.084 * [taylor]: Taking taylor expansion of y in x
0.086 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.086 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.086 * [taylor]: Taking taylor expansion of x in x
0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.086 * [taylor]: Taking taylor expansion of y in x
0.088 * [taylor]: Taking taylor expansion of 1 in y
0.088 * [taylor]: Taking taylor expansion of 0 in y
0.090 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.090 * [taylor]: Taking taylor expansion of -1/2 in y
0.090 * [taylor]: Taking taylor expansion of y in y
0.092 * [taylor]: Taking taylor expansion of 0 in y
0.095 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.095 * [taylor]: Taking taylor expansion of -1/8 in y
0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.095 * [taylor]: Taking taylor expansion of y in y
0.096 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.096 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.096 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.096 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.096 * [taylor]: Taking taylor expansion of x in y
0.096 * [taylor]: Taking taylor expansion of y in y
0.096 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.097 * [taylor]: Taking taylor expansion of x in x
0.097 * [taylor]: Taking taylor expansion of y in x
0.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.097 * [taylor]: Taking taylor expansion of x in x
0.097 * [taylor]: Taking taylor expansion of y in x
0.097 * [taylor]: Taking taylor expansion of y in y
0.097 * [taylor]: Taking taylor expansion of 0 in y
0.097 * [taylor]: Taking taylor expansion of 1 in y
0.098 * [taylor]: Taking taylor expansion of 0 in y
0.098 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.098 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.098 * [taylor]: Taking taylor expansion of x in y
0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.099 * [taylor]: Taking taylor expansion of y in y
0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.099 * [taylor]: Taking taylor expansion of x in x
0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.099 * [taylor]: Taking taylor expansion of y in x
0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.099 * [taylor]: Taking taylor expansion of x in x
0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.100 * [taylor]: Taking taylor expansion of y in x
0.100 * [taylor]: Taking taylor expansion of 1 in y
0.101 * [taylor]: Taking taylor expansion of 0 in y
0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.102 * [taylor]: Taking taylor expansion of y in y
0.104 * [taylor]: Taking taylor expansion of 0 in y
0.106 * [taylor]: Taking taylor expansion of 0 in y
0.106 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.106 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.106 * [taylor]: Taking taylor expansion of x in y
0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.107 * [taylor]: Taking taylor expansion of y in y
0.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.107 * [taylor]: Taking taylor expansion of x in x
0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.107 * [taylor]: Taking taylor expansion of y in x
0.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.107 * [taylor]: Taking taylor expansion of x in x
0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.108 * [taylor]: Taking taylor expansion of y in x
0.108 * [taylor]: Taking taylor expansion of 1 in y
0.109 * [taylor]: Taking taylor expansion of 0 in y
0.110 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.110 * [taylor]: Taking taylor expansion of y in y
0.112 * [taylor]: Taking taylor expansion of 0 in y
0.115 * [taylor]: Taking taylor expansion of 0 in y
0.115 * * * [progress]: simplifying candidates
0.116 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (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)
0.120 * * [simplify]: iteration  0 :  153  enodes  (cost  160 )
0.123 * * [simplify]: iteration  1 :  518  enodes  (cost  146 )
0.132 * * [simplify]: iteration  2 :  1716  enodes  (cost  138 )
0.166 * * [simplify]: iteration  3 :  5002  enodes  (cost  136 )
0.167 * [simplify]: Simplified to:
   (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)))
  (pow (hypot x (pow y 1/2)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  1
  (hypot x (pow y 1/2))
  (hypot (pow y 3/2) (pow x 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) y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (pow (fma x x y) 3)
  (hypot x (pow y 1/2))
  (hypot x (pow y 1/2))
  (fma (pow y 2) y (pow x 6))
  (fma y (- y (pow x 2)) (pow x 4))
  (- (pow x 4) (pow y 2))
  (- (* x x) y)
  (* +nan.0 (fma (- x) x (fma y y (- y))))
  (fma 1/2 (/ y x) x)
  (- (+ x (* 1/2 (/ y x))))
  (fma x x y)
  (fma x x y)
  (fma x x y)
0.168 * * * [progress]: adding candidates to table
0.262 * * [progress]: iteration 2 / 4
0.262 * * * [progress]: picking best candidate
0.264 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.264 * * * [progress]: localizing error
0.270 * * * [progress]: generating rewritten candidates
0.270 * * * [progress]: generating series expansions
0.270 * * * [progress]: simplifying candidates
0.270 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.273 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.273 * [simplify]: Simplified to:
   
0.273 * * * [progress]: adding candidates to table
0.273 * * [progress]: iteration 3 / 4
0.273 * * * [progress]: picking best candidate
0.275 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
0.275 * * * [progress]: localizing error
0.280 * * * [progress]: generating rewritten candidates
0.280 * * * [progress]: generating series expansions
0.280 * * * [progress]: simplifying candidates
0.280 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.283 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.283 * [simplify]: Simplified to:
   
0.283 * * * [progress]: adding candidates to table
0.283 * [progress]: [Phase 3 of 3] Extracting.
0.284 * * [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) (fma 1/2 (/ y x) x))>)
0.284 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
0.284 * * * * [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) (fma 1/2 (/ y x) x))>)
0.299 * * * * [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) (fma 1/2 (/ y x) x))>)
0.319 * * * * [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) (fma 1/2 (/ y x) x))>)
0.341 * * * * [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) (fma 1/2 (/ y x) x))>)
0.364 * * * * [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) (fma 1/2 (/ y x) x))>)
0.388 * * * [regime]: Found split indices: #<option (#s(si 1 48) #s(si 0 191) #s(si 2 255))>
0.388 * [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) (fma 1/2 (/ y x) x))>)
0.423 * [regimes]: Found splitpoints: (#s(sp 1 x -1.2815112109798557e+154) #s(sp 0 x 3.3825854527583296e+81) #s(sp 2 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) (fma 1/2 (/ y x) x))>)
0.424 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.2815112109798557e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 3.3825854527583296e+81) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
0.424 * * [simplify]: iteration  0 :  23  enodes  (cost  9 )
0.425 * * [simplify]: iteration  1 :  30  enodes  (cost  9 )
0.425 * * [simplify]: iteration  2 :  32  enodes  (cost  9 )
0.425 * * [simplify]: iteration  3 :  32  enodes  (cost  9 )
0.426 * [simplify]: Simplified to:
   (if (<= x -1.2815112109798557e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 3.3825854527583296e+81) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
0.894 * [regime-testing]: Baseline error score: 21.446680835104388
0.894 * [regime-testing]: Oracle error score: 0.006775587120554173
0.896 * [regime-testing]: End program error score: 0.2685258602828261
0.927 * [regime-testing]: Target error score: 0.4681879226130674