13.398 * [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-egg> :
   (sqrt (+ (* x x) y))
0.019 * * [simplify]: iteration  0 :  7  enodes  (cost  3 )
0.021 * * [simplify]: iteration  1 :  7  enodes  (cost  3 )
0.021 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.022 * * [progress]: iteration 1 / 4
0.022 * * * [progress]: picking best candidate
0.023 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.023 * * * [progress]: localizing error
0.028 * * * [progress]: generating rewritten candidates
0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.032 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.037 * * * [progress]: generating series expansions
0.037 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.037 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.037 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.037 * [taylor]: Taking taylor expansion of x in y
0.037 * [taylor]: Taking taylor expansion of y in y
0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.038 * [taylor]: Taking taylor expansion of x in x
0.038 * [taylor]: Taking taylor expansion of y in x
0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.039 * [taylor]: Taking taylor expansion of x in x
0.039 * [taylor]: Taking taylor expansion of y in x
0.039 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.039 * [taylor]: Taking taylor expansion of y in y
0.041 * [taylor]: Taking taylor expansion of 0 in y
0.042 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.042 * [taylor]: Taking taylor expansion of 1/2 in y
0.042 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.042 * [taylor]: Taking taylor expansion of y in y
0.048 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.048 * [taylor]: Taking taylor expansion of x in y
0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.048 * [taylor]: Taking taylor expansion of y in y
0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.050 * [taylor]: Taking taylor expansion of x in x
0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.054 * [taylor]: Taking taylor expansion of y in x
0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.056 * [taylor]: Taking taylor expansion of x in x
0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.057 * [taylor]: Taking taylor expansion of y in x
0.059 * [taylor]: Taking taylor expansion of 1 in y
0.059 * [taylor]: Taking taylor expansion of 0 in y
0.061 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.061 * [taylor]: Taking taylor expansion of 1/2 in y
0.061 * [taylor]: Taking taylor expansion of y in y
0.063 * [taylor]: Taking taylor expansion of 0 in y
0.066 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.066 * [taylor]: Taking taylor expansion of -1/8 in y
0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.066 * [taylor]: Taking taylor expansion of y in y
0.068 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.068 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.068 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.068 * [taylor]: Taking taylor expansion of x in y
0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.068 * [taylor]: Taking taylor expansion of y in y
0.070 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.070 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.070 * [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 (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
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
0.076 * [taylor]: Taking taylor expansion of 1 in y
0.076 * [taylor]: Taking taylor expansion of 0 in y
0.078 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.078 * [taylor]: Taking taylor expansion of -1/2 in y
0.078 * [taylor]: Taking taylor expansion of y in y
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.083 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.083 * [taylor]: Taking taylor expansion of -1/8 in y
0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.083 * [taylor]: Taking taylor expansion of y in y
0.085 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.085 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.085 * [taylor]: Taking taylor expansion of x in y
0.085 * [taylor]: Taking taylor expansion of y in y
0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.085 * [taylor]: Taking taylor expansion of x in x
0.085 * [taylor]: Taking taylor expansion of y in x
0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.085 * [taylor]: Taking taylor expansion of x in x
0.085 * [taylor]: Taking taylor expansion of y in x
0.085 * [taylor]: Taking taylor expansion of y in y
0.086 * [taylor]: Taking taylor expansion of 0 in y
0.086 * [taylor]: Taking taylor expansion of 1 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
0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.088 * [taylor]: Taking taylor expansion of y in y
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
0.088 * [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
0.089 * [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
0.089 * [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
0.091 * [taylor]: Taking taylor expansion of 0 in y
0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.092 * [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 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 y) in y
0.096 * [taylor]: Taking taylor expansion of y in y
0.097 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 y) in x
0.097 * [taylor]: Taking taylor expansion of y in x
0.097 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.097 * [taylor]: Taking taylor expansion of x in x
0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.098 * [taylor]: Taking taylor expansion of y in x
0.098 * [taylor]: Taking taylor expansion of 1 in y
0.099 * [taylor]: Taking taylor expansion of 0 in y
0.101 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.101 * [taylor]: Taking taylor expansion of y in y
0.103 * [taylor]: Taking taylor expansion of 0 in y
0.105 * [taylor]: Taking taylor expansion of 0 in y
0.106 * * * [progress]: simplifying candidates
0.106 * [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)
0.111 * * [simplify]: iteration  0 :  153  enodes  (cost  160 )
0.116 * * [simplify]: iteration  1 :  518  enodes  (cost  146 )
0.127 * * [simplify]: iteration  2 :  1716  enodes  (cost  138 )
0.165 * * [simplify]: iteration  3 :  5002  enodes  (cost  136 )
0.166 * [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)
0.167 * * * [progress]: adding candidates to table
0.255 * * [progress]: iteration 2 / 4
0.255 * * * [progress]: picking best candidate
0.258 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
0.258 * * * [progress]: localizing error
0.263 * * * [progress]: generating rewritten candidates
0.263 * * * [progress]: generating series expansions
0.263 * * * [progress]: simplifying candidates
0.263 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.266 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.266 * [simplify]: Simplified to:
   
0.266 * * * [progress]: adding candidates to table
0.266 * * [progress]: iteration 3 / 4
0.266 * * * [progress]: picking best candidate
0.267 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.267 * * * [progress]: localizing error
0.273 * * * [progress]: generating rewritten candidates
0.273 * * * [progress]: generating series expansions
0.273 * * * [progress]: simplifying candidates
0.273 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.276 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.276 * [simplify]: Simplified to:
   
0.276 * * * [progress]: adding candidates to table
0.277 * [progress]: [Phase 3 of 3] Extracting.
0.277 * * [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))>)
0.277 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
0.277 * * * * [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))>)
0.293 * * * * [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))>)
0.312 * * * * [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))>)
0.332 * * * * [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))>)
0.370 * * * * [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))>)
0.391 * * * [regime]: Found split indices: #<option (#s(si 1 39) #s(si 0 189) #s(si 2 255))>
0.392 * [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))>)
0.440 * [regimes]: Found splitpoints: (#s(sp 1 x -1.3296513343657604e+154) #s(sp 0 x 7.61654622060063e+113) #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))>)
0.441 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.3296513343657604e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 7.61654622060063e+113) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
0.441 * * [simplify]: iteration  0 :  23  enodes  (cost  9 )
0.442 * * [simplify]: iteration  1 :  30  enodes  (cost  9 )
0.442 * * [simplify]: iteration  2 :  32  enodes  (cost  9 )
0.442 * * [simplify]: iteration  3 :  32  enodes  (cost  9 )
0.443 * [simplify]: Simplified to:
   (if (<= x -1.3296513343657604e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 7.61654622060063e+113) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
0.931 * [regime-testing]: Baseline error score: 21.734841855231902
0.931 * [regime-testing]: Oracle error score: 0.0026253281660207524
0.934 * [regime-testing]: End program error score: 0.054975065197330586
0.964 * [regime-testing]: Target error score: 0.5381281445013937