11.257 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.013 * * * [progress]: [2/2] Setting up program.
0.015 * [progress]: [Phase 2 of 3] Improving.
0.015 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (sqrt (+ (* x x) y))
0.016 * * [simplify]: iteration  0 :  5  enodes  (cost  6 )
0.017 * * [simplify]: iteration  1 :  6  enodes  (cost  6 )
0.017 * * [simplify]: iteration  done :  6  enodes  (cost  6 )
0.017 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.018 * * [progress]: iteration 1 / 4
0.018 * * * [progress]: picking best candidate
0.019 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.019 * * * [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
0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.043 * [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
0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.046 * [taylor]: Taking taylor expansion of y in x
0.048 * [taylor]: Taking taylor expansion of 1 in y
0.048 * [taylor]: Taking taylor expansion of 0 in y
0.050 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.050 * [taylor]: Taking taylor expansion of 1/2 in y
0.050 * [taylor]: Taking taylor expansion of y in y
0.052 * [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
0.056 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.056 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.056 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.056 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.056 * [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
0.058 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.058 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.058 * [taylor]: Taking taylor expansion of x in x
0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.059 * [taylor]: Taking taylor expansion of y in x
0.061 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.061 * [taylor]: Taking taylor expansion of x in x
0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.061 * [taylor]: Taking taylor expansion of y in x
0.063 * [taylor]: Taking taylor expansion of 1 in y
0.063 * [taylor]: Taking taylor expansion of 0 in y
0.065 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.065 * [taylor]: Taking taylor expansion of -1/2 in y
0.065 * [taylor]: Taking taylor expansion of y in y
0.067 * [taylor]: Taking taylor expansion of 0 in y
0.071 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.071 * [taylor]: Taking taylor expansion of -1/8 in y
0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.071 * [taylor]: Taking taylor expansion of y in y
0.072 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.072 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.072 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.072 * [taylor]: Taking taylor expansion of x in y
0.072 * [taylor]: Taking taylor expansion of y in y
0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.072 * [taylor]: Taking taylor expansion of x in x
0.072 * [taylor]: Taking taylor expansion of y in x
0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.072 * [taylor]: Taking taylor expansion of x in x
0.072 * [taylor]: Taking taylor expansion of y in x
0.073 * [taylor]: Taking taylor expansion of y in y
0.073 * [taylor]: Taking taylor expansion of 0 in y
0.073 * [taylor]: Taking taylor expansion of 1 in y
0.074 * [taylor]: Taking taylor expansion of 0 in y
0.074 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.074 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.074 * [taylor]: Taking taylor expansion of x in y
0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.075 * [taylor]: Taking taylor expansion of x in x
0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.075 * [taylor]: Taking taylor expansion of y in x
0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.075 * [taylor]: Taking taylor expansion of x in x
0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.076 * [taylor]: Taking taylor expansion of y in x
0.076 * [taylor]: Taking taylor expansion of 1 in y
0.077 * [taylor]: Taking taylor expansion of 0 in y
0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.078 * [taylor]: Taking taylor expansion of y in y
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.082 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.082 * [taylor]: Taking taylor expansion of x in y
0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.082 * [taylor]: Taking taylor expansion of y in y
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
0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.083 * [taylor]: Taking taylor expansion of 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
0.084 * [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
0.096 * [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 )
0.109 * * [simplify]: iteration  1 :  141  enodes  (cost  294 )
0.134 * * [simplify]: iteration  2 :  385  enodes  (cost  258 )
0.266 * * [simplify]: iteration  3 :  1086  enodes  (cost  255 )
0.981 * * [simplify]: iteration  4 :  3572  enodes  (cost  254 )
2.856 * * [simplify]: iteration  done :  5001  enodes  (cost  254 )
2.856 * [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))
2.856 * * * [progress]: adding candidates to table
2.927 * * [progress]: iteration 2 / 4
2.927 * * * [progress]: picking best candidate
2.929 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
2.929 * * * [progress]: localizing error
2.934 * * * [progress]: generating rewritten candidates
2.934 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
2.936 * * * [progress]: generating series expansions
2.936 * * * * [progress]: [ 1 / 1 ] generating series at (2)
2.936 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
2.936 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
2.936 * [taylor]: Taking taylor expansion of x in y
2.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
2.936 * [taylor]: Taking taylor expansion of 1/2 in y
2.936 * [taylor]: Taking taylor expansion of (/ y x) in y
2.936 * [taylor]: Taking taylor expansion of y in y
2.937 * [taylor]: Taking taylor expansion of x in y
2.937 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
2.937 * [taylor]: Taking taylor expansion of x in x
2.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
2.937 * [taylor]: Taking taylor expansion of 1/2 in x
2.937 * [taylor]: Taking taylor expansion of (/ y x) in x
2.937 * [taylor]: Taking taylor expansion of y in x
2.937 * [taylor]: Taking taylor expansion of x in x
2.937 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
2.937 * [taylor]: Taking taylor expansion of x in x
2.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
2.937 * [taylor]: Taking taylor expansion of 1/2 in x
2.937 * [taylor]: Taking taylor expansion of (/ y x) in x
2.937 * [taylor]: Taking taylor expansion of y in x
2.937 * [taylor]: Taking taylor expansion of x in x
2.937 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
2.937 * [taylor]: Taking taylor expansion of 1/2 in y
2.937 * [taylor]: Taking taylor expansion of y in y
2.938 * [taylor]: Taking taylor expansion of 0 in y
2.940 * [taylor]: Taking taylor expansion of 1 in y
2.943 * [taylor]: Taking taylor expansion of 0 in y
2.944 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
2.944 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
2.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
2.944 * [taylor]: Taking taylor expansion of 1/2 in y
2.944 * [taylor]: Taking taylor expansion of (/ x y) in y
2.944 * [taylor]: Taking taylor expansion of x in y
2.944 * [taylor]: Taking taylor expansion of y in y
2.944 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.944 * [taylor]: Taking taylor expansion of x in y
2.944 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
2.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
2.944 * [taylor]: Taking taylor expansion of 1/2 in x
2.944 * [taylor]: Taking taylor expansion of (/ x y) in x
2.944 * [taylor]: Taking taylor expansion of x in x
2.944 * [taylor]: Taking taylor expansion of y in x
2.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.945 * [taylor]: Taking taylor expansion of x in x
2.945 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
2.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
2.945 * [taylor]: Taking taylor expansion of 1/2 in x
2.945 * [taylor]: Taking taylor expansion of (/ x y) in x
2.945 * [taylor]: Taking taylor expansion of x in x
2.945 * [taylor]: Taking taylor expansion of y in x
2.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.945 * [taylor]: Taking taylor expansion of x in x
2.946 * [taylor]: Taking taylor expansion of 1 in y
2.946 * [taylor]: Taking taylor expansion of 0 in y
2.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
2.947 * [taylor]: Taking taylor expansion of 1/2 in y
2.947 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.947 * [taylor]: Taking taylor expansion of y in y
2.949 * [taylor]: Taking taylor expansion of 0 in y
2.951 * [taylor]: Taking taylor expansion of 0 in y
2.952 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
2.952 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
2.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
2.952 * [taylor]: Taking taylor expansion of 1/2 in y
2.952 * [taylor]: Taking taylor expansion of (/ x y) in y
2.952 * [taylor]: Taking taylor expansion of x in y
2.952 * [taylor]: Taking taylor expansion of y in y
2.952 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.952 * [taylor]: Taking taylor expansion of x in y
2.952 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
2.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
2.952 * [taylor]: Taking taylor expansion of 1/2 in x
2.952 * [taylor]: Taking taylor expansion of (/ x y) in x
2.952 * [taylor]: Taking taylor expansion of x in x
2.952 * [taylor]: Taking taylor expansion of y in x
2.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.952 * [taylor]: Taking taylor expansion of x in x
2.952 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
2.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
2.952 * [taylor]: Taking taylor expansion of 1/2 in x
2.952 * [taylor]: Taking taylor expansion of (/ x y) in x
2.952 * [taylor]: Taking taylor expansion of x in x
2.952 * [taylor]: Taking taylor expansion of y in x
2.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.952 * [taylor]: Taking taylor expansion of x in x
2.953 * [taylor]: Taking taylor expansion of -1 in y
2.954 * [taylor]: Taking taylor expansion of 0 in y
2.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
2.955 * [taylor]: Taking taylor expansion of 1/2 in y
2.955 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.955 * [taylor]: Taking taylor expansion of y in y
2.957 * [taylor]: Taking taylor expansion of 0 in y
2.960 * [taylor]: Taking taylor expansion of 0 in y
2.960 * * * [progress]: simplifying candidates
2.960 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (* (exp x) (exp (* 1/2 (/ y x))))
  (log (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (+ (pow x 3) (pow (* 1/2 (/ y x)) 3))
  (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x)))))
  (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x))))
  (- x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
2.962 * * [simplify]: iteration  0 :  27  enodes  (cost  166 )
2.967 * * [simplify]: iteration  1 :  86  enodes  (cost  157 )
2.987 * * [simplify]: iteration  2 :  271  enodes  (cost  143 )
3.060 * * [simplify]: iteration  3 :  904  enodes  (cost  143 )
3.536 * * [simplify]: iteration  4 :  2838  enodes  (cost  143 )
4.587 * * [simplify]: iteration  done :  5000  enodes  (cost  143 )
4.587 * [simplify]: Simplified to:
   (exp (+ x (* 1/2 (/ y x))))
  (log (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (pow (+ x (* 1/2 (/ y x))) 3)
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (+ (pow x 3) (pow (* 1/2 (/ y x)) 3))
  (+ (* x x) (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)))
  (- (* x x) (* 1/4 (* (/ y x) (/ y x))))
  (- x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
4.588 * * * [progress]: adding candidates to table
4.612 * * [progress]: iteration 3 / 4
4.612 * * * [progress]: picking best candidate
4.614 * * * * [pick]: Picked  #<alt (λ (x y) (- (* (/ y x) -1/2) x))>
4.614 * * * [progress]: localizing error
4.618 * * * [progress]: generating rewritten candidates
4.618 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
4.623 * * * [progress]: generating series expansions
4.623 * * * * [progress]: [ 1 / 1 ] generating series at (2)
4.623 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0
4.623 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x
4.623 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
4.623 * [taylor]: Taking taylor expansion of x in x
4.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
4.623 * [taylor]: Taking taylor expansion of 1/2 in x
4.623 * [taylor]: Taking taylor expansion of (/ y x) in x
4.623 * [taylor]: Taking taylor expansion of y in x
4.623 * [taylor]: Taking taylor expansion of x in x
4.623 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y
4.623 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
4.623 * [taylor]: Taking taylor expansion of x in y
4.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
4.623 * [taylor]: Taking taylor expansion of 1/2 in y
4.623 * [taylor]: Taking taylor expansion of (/ y x) in y
4.623 * [taylor]: Taking taylor expansion of y in y
4.623 * [taylor]: Taking taylor expansion of x in y
4.623 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y
4.623 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
4.623 * [taylor]: Taking taylor expansion of x in y
4.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
4.623 * [taylor]: Taking taylor expansion of 1/2 in y
4.623 * [taylor]: Taking taylor expansion of (/ y x) in y
4.624 * [taylor]: Taking taylor expansion of y in y
4.624 * [taylor]: Taking taylor expansion of x in y
4.624 * [taylor]: Taking taylor expansion of (- x) in x
4.624 * [taylor]: Taking taylor expansion of x in x
4.624 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x
4.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
4.624 * [taylor]: Taking taylor expansion of 1/2 in x
4.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.624 * [taylor]: Taking taylor expansion of x in x
4.626 * [taylor]: Taking taylor expansion of 0 in x
4.628 * [taylor]: Taking taylor expansion of 0 in x
4.631 * [taylor]: Taking taylor expansion of 0 in x
4.633 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0
4.633 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x
4.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
4.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.633 * [taylor]: Taking taylor expansion of 1/2 in x
4.633 * [taylor]: Taking taylor expansion of (/ x y) in x
4.633 * [taylor]: Taking taylor expansion of x in x
4.633 * [taylor]: Taking taylor expansion of y in x
4.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.633 * [taylor]: Taking taylor expansion of x in x
4.633 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y
4.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
4.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.633 * [taylor]: Taking taylor expansion of 1/2 in y
4.633 * [taylor]: Taking taylor expansion of (/ x y) in y
4.634 * [taylor]: Taking taylor expansion of x in y
4.634 * [taylor]: Taking taylor expansion of y in y
4.634 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.634 * [taylor]: Taking taylor expansion of x in y
4.634 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y
4.634 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
4.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.634 * [taylor]: Taking taylor expansion of 1/2 in y
4.634 * [taylor]: Taking taylor expansion of (/ x y) in y
4.634 * [taylor]: Taking taylor expansion of x in y
4.634 * [taylor]: Taking taylor expansion of y in y
4.634 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.634 * [taylor]: Taking taylor expansion of x in y
4.634 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x
4.634 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.634 * [taylor]: Taking taylor expansion of 1/2 in x
4.634 * [taylor]: Taking taylor expansion of x in x
4.635 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
4.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.635 * [taylor]: Taking taylor expansion of x in x
4.638 * [taylor]: Taking taylor expansion of 0 in x
4.641 * [taylor]: Taking taylor expansion of 0 in x
4.646 * [taylor]: Taking taylor expansion of 0 in x
4.647 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0
4.647 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x
4.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.647 * [taylor]: Taking taylor expansion of x in x
4.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.647 * [taylor]: Taking taylor expansion of 1/2 in x
4.647 * [taylor]: Taking taylor expansion of (/ x y) in x
4.647 * [taylor]: Taking taylor expansion of x in x
4.647 * [taylor]: Taking taylor expansion of y in x
4.647 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
4.647 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.647 * [taylor]: Taking taylor expansion of x in y
4.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.647 * [taylor]: Taking taylor expansion of 1/2 in y
4.647 * [taylor]: Taking taylor expansion of (/ x y) in y
4.647 * [taylor]: Taking taylor expansion of x in y
4.647 * [taylor]: Taking taylor expansion of y in y
4.647 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
4.647 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.648 * [taylor]: Taking taylor expansion of x in y
4.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.648 * [taylor]: Taking taylor expansion of 1/2 in y
4.648 * [taylor]: Taking taylor expansion of (/ x y) in y
4.648 * [taylor]: Taking taylor expansion of x in y
4.648 * [taylor]: Taking taylor expansion of y in y
4.648 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x
4.648 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
4.648 * [taylor]: Taking taylor expansion of 1/2 in x
4.648 * [taylor]: Taking taylor expansion of x in x
4.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.649 * [taylor]: Taking taylor expansion of x in x
4.651 * [taylor]: Taking taylor expansion of 0 in x
4.655 * [taylor]: Taking taylor expansion of 0 in x
4.659 * [taylor]: Taking taylor expansion of 0 in x
4.660 * * * [progress]: simplifying candidates
4.660 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (/ (exp (* (/ y x) -1/2)) (exp x))
  (log (- (* (/ y x) -1/2) x))
  (exp (- (* (/ y x) -1/2) x))
  (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x)))
  (cbrt (- (* (/ y x) -1/2) x))
  (* (* (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x)) (- (* (/ y x) -1/2) x))
  (sqrt (- (* (/ y x) -1/2) x))
  (sqrt (- (* (/ y x) -1/2) x))
  (- (pow (* (/ y x) -1/2) 3) (pow x 3))
  (+ (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (+ (* x x) (* (* (/ y x) -1/2) x)))
  (- x)
  (- (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* x x))
  (+ (* (/ y x) -1/2) x)
  (- x)
  (- (+ x (* 1/2 (/ y x))))
  (- (+ x (* 1/2 (/ y x))))
  (- (+ x (* 1/2 (/ y x))))
4.662 * * [simplify]: iteration  0 :  32  enodes  (cost  173 )
4.667 * * [simplify]: iteration  1 :  82  enodes  (cost  166 )
4.687 * * [simplify]: iteration  2 :  224  enodes  (cost  149 )
4.764 * * [simplify]: iteration  3 :  855  enodes  (cost  147 )
5.304 * * [simplify]: iteration  4 :  3471  enodes  (cost  147 )
6.288 * * [simplify]: iteration  done :  5000  enodes  (cost  147 )
6.289 * [simplify]: Simplified to:
   (exp (- (* (/ y x) -1/2) x))
  (log (- (* (/ y x) -1/2) x))
  (exp (- (* (/ y x) -1/2) x))
  (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x)))
  (cbrt (- (* (/ y x) -1/2) x))
  (pow (- (* (/ y x) -1/2) x) 3)
  (sqrt (- (* (/ y x) -1/2) x))
  (sqrt (- (* (/ y x) -1/2) x))
  (- (pow (* (/ y x) -1/2) 3) (pow x 3))
  (+ (* x x) (* (* (/ y x) -1/2) (+ (* (/ y x) -1/2) x)))
  (- x)
  (- (* (* (/ y x) (/ y x)) 1/4) (* x x))
  (+ (* (/ y x) -1/2) x)
  (- x)
  (- (* (/ y x) -1/2) x)
  (- (* (/ y x) -1/2) x)
  (- (* (/ y x) -1/2) x)
6.289 * * * [progress]: adding candidates to table
6.309 * [progress]: [Phase 3 of 3] Extracting.
6.309 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.310 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
6.310 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.324 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.343 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.363 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.389 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.412 * * * [regime]: Found split indices: #<option (#s(si 1 38) #s(si 2 194) #s(si 0 255))>
6.412 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.463 * [regimes]: Found splitpoints: (#s(sp 1 x -1.3285272782249076e+154) #s(sp 2 x 1.2357322782900815e+112) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
6.463 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (if (<= x -1.3285272782249076e+154) (- (* (/ y x) -1/2) x) (if (<= x 1.2357322782900815e+112) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
6.464 * * [simplify]: iteration  0 :  18  enodes  (cost  28 )
6.464 * * [simplify]: iteration  1 :  22  enodes  (cost  28 )
6.465 * * [simplify]: iteration  done :  22  enodes  (cost  28 )
6.465 * [simplify]: Simplified to:
   (if (<= x -1.3285272782249076e+154) (- (* (/ y x) -1/2) x) (if (<= x 1.2357322782900815e+112) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
6.936 * [regime-testing]: Baseline error score: 20.966370796349544
6.936 * [regime-testing]: Oracle error score: 0.0030003750468808603
6.937 * [regime-testing]: End program error score: 0.09925656505926085
6.967 * [regime-testing]: Target error score: 0.42824559930467093