17.397 * [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.
0.017 * [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 :  7  enodes  (cost  5 )
0.019 * * [simplify]: iteration  done :  7  enodes  (cost  5 )
0.019 * [simplify]: Simplified to:
   (sqrt (fma 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)
0.036 * * * [progress]: generating series expansions
0.036 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.036 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.036 * [taylor]: Taking taylor expansion of x in y
0.036 * [taylor]: Taking taylor expansion of y in y
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 (+ (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
0.038 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.038 * [taylor]: Taking taylor expansion of y in y
0.039 * [taylor]: Taking taylor expansion of 0 in y
0.040 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.040 * [taylor]: Taking taylor expansion of 1/2 in y
0.040 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.040 * [taylor]: Taking taylor expansion of y in y
0.045 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.045 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.045 * [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
0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.047 * [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
0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.050 * [taylor]: Taking taylor expansion of y in x
0.052 * [taylor]: Taking taylor expansion of 1 in y
0.052 * [taylor]: Taking taylor expansion of 0 in y
0.054 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.054 * [taylor]: Taking taylor expansion of 1/2 in y
0.054 * [taylor]: Taking taylor expansion of y in y
0.056 * [taylor]: Taking taylor expansion of 0 in y
0.058 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.058 * [taylor]: Taking taylor expansion of -1/8 in y
0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.058 * [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
0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.065 * [taylor]: Taking taylor expansion of y in x
0.067 * [taylor]: Taking taylor expansion of 1 in y
0.067 * [taylor]: Taking taylor expansion of 0 in y
0.069 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.069 * [taylor]: Taking taylor expansion of -1/2 in y
0.069 * [taylor]: Taking taylor expansion of y in y
0.072 * [taylor]: Taking taylor expansion of 0 in y
0.074 * [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
0.076 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.076 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.076 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.076 * [taylor]: Taking taylor expansion of x in y
0.076 * [taylor]: Taking taylor expansion of y in y
0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.076 * [taylor]: Taking taylor expansion of x in x
0.076 * [taylor]: Taking taylor expansion of y in x
0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.076 * [taylor]: Taking taylor expansion of x in x
0.076 * [taylor]: Taking taylor expansion of y in x
0.076 * [taylor]: Taking taylor expansion of y in y
0.077 * [taylor]: Taking taylor expansion of 0 in y
0.077 * [taylor]: Taking taylor expansion of 1 in y
0.078 * [taylor]: Taking taylor expansion of 0 in y
0.078 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.078 * [taylor]: Taking taylor expansion of x in y
0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.078 * [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
0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.079 * [taylor]: Taking taylor expansion of y in x
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 in y
0.081 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.082 * [taylor]: Taking taylor expansion of y in y
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.091 * [taylor]: Taking taylor expansion of 0 in y
0.091 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.091 * [taylor]: Taking taylor expansion of x in y
0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.092 * [taylor]: Taking taylor expansion of y in y
0.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.092 * [taylor]: Taking taylor expansion of x in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.092 * [taylor]: Taking taylor expansion of y in x
0.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.093 * [taylor]: Taking taylor expansion of y in x
0.093 * [taylor]: Taking taylor expansion of 1 in y
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.095 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.095 * [taylor]: Taking taylor expansion of y in y
0.097 * [taylor]: Taking taylor expansion of 0 in y
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.100 * * * [progress]: simplifying candidates
0.101 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (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)
0.103 * * [simplify]: iteration  0 :  63  enodes  (cost  345 )
0.113 * * [simplify]: iteration  1 :  153  enodes  (cost  284 )
0.142 * * [simplify]: iteration  2 :  510  enodes  (cost  250 )
0.284 * * [simplify]: iteration  3 :  1556  enodes  (cost  248 )
1.014 * * [simplify]: iteration  done :  5000  enodes  (cost  247 )
1.014 * [simplify]: Simplified to:
   (expm1 (sqrt (fma x x y)))
  (log1p (sqrt (fma x x y)))
  (log (sqrt (fma x x y)))
  (exp (sqrt (fma x x y)))
  (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y))))
  (cbrt (sqrt (fma x x y)))
  (pow (sqrt (fma x x y)) 3)
  (fabs (cbrt (fma x x y)))
  (sqrt (cbrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  1
  (sqrt (fma x x y))
  (hypot (pow y 3/2) (pow x 3))
  (sqrt (fma y (- y (* x x)) (pow x 4)))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (expm1 (fma x x y))
  (log1p (fma x x y))
  (exp (fma x x y))
  (log (fma x x y))
  (exp (fma x x y))
  (* (cbrt (fma x x y)) (cbrt (fma x x y)))
  (cbrt (fma x x y))
  (pow (fma x x y) 3)
  (sqrt (fma x x y))
  (sqrt (fma x x y))
  (+ (pow y 3) (pow x 6))
  (fma y (- y (* x x)) (pow x 4))
  (- (pow x 4) (* y y))
  (fma x x (- y))
  (* +nan.0 (- (- (* y y) y) (* x x)))
  (fma 1/2 (/ y x) x)
  (- (fma 1/2 (/ y x) x))
  (fma x x y)
  (fma x x y)
  (fma x x y)
1.014 * * * [progress]: adding candidates to table
1.105 * * [progress]: iteration 2 / 4
1.105 * * * [progress]: picking best candidate
1.107 * * * * [pick]: Picked  #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))>
1.107 * * * [progress]: localizing error
1.112 * * * [progress]: generating rewritten candidates
1.113 * * * [progress]: generating series expansions
1.113 * * * [progress]: simplifying candidates
1.113 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   
1.114 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
1.114 * * [simplify]: iteration  done :  0  enodes  (cost  0 )
1.114 * [simplify]: Simplified to:
   
1.114 * * * [progress]: adding candidates to table
1.114 * * [progress]: iteration 3 / 4
1.114 * * * [progress]: picking best candidate
1.115 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
1.115 * * * [progress]: localizing error
1.119 * * * [progress]: generating rewritten candidates
1.120 * * * [progress]: generating series expansions
1.120 * * * [progress]: simplifying candidates
1.120 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   
1.121 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
1.121 * * [simplify]: iteration  done :  0  enodes  (cost  0 )
1.121 * [simplify]: Simplified to:
   
1.121 * * * [progress]: adding candidates to table
1.121 * [progress]: [Phase 3 of 3] Extracting.
1.121 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.121 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
1.121 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.140 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.157 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.179 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.203 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.225 * * * [regime]: Found split indices: #<option (#s(si 1 48) #s(si 2 191) #s(si 0 255))>
1.226 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.264 * [regimes]: Found splitpoints: (#s(sp 1 x -1.2815112109798557e+154) #s(sp 2 x 3.3825854527583296e+81) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y) (fma 1/2 (/ y x) x))> #<alt (λ (x y) (- (fma 1/2 (/ y x) x)))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
1.265 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (if (<= x -1.2815112109798557e+154) (- (fma 1/2 (/ y x) x)) (if (<= x 3.3825854527583296e+81) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
1.265 * * [simplify]: iteration  0 :  15  enodes  (cost  27 )
1.266 * * [simplify]: iteration  1 :  16  enodes  (cost  27 )
1.266 * * [simplify]: iteration  done :  16  enodes  (cost  27 )
1.266 * [simplify]: Simplified to:
   (if (<= x -1.2815112109798557e+154) (- (fma 1/2 (/ y x) x)) (if (<= x 3.3825854527583296e+81) (sqrt (+ (* x x) y)) (fma 1/2 (/ y x) x)))
1.759 * [regime-testing]: Baseline error score: 21.446680835104388
1.759 * [regime-testing]: Oracle error score: 0.006775587120554173
1.761 * [regime-testing]: End program error score: 0.2685258602828261
1.792 * [regime-testing]: Target error score: 0.4681879226130674