26.338 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.016 * * * [progress]: [2/2] Setting up program.
0.018 * [progress]: [Phase 2 of 3] Improving.
0.018 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (sqrt (+ (* x x) y))
0.019 * * [simplify]: iteration  0 :  5  enodes  (cost  6 )
0.020 * * [simplify]: iteration  1 :  6  enodes  (cost  6 )
0.021 * * [simplify]: iteration  done :  6  enodes  (cost  6 )
0.021 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.021 * * [progress]: iteration 1 / 4
0.021 * * * [progress]: picking best candidate
0.022 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.023 * * * [progress]: localizing error
0.027 * * * [progress]: generating rewritten candidates
0.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.031 * * * * [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
0.036 * [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 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
0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.044 * [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
0.046 * [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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.048 * [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
0.052 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.052 * [taylor]: Taking taylor expansion of 1/2 in y
0.052 * [taylor]: Taking taylor expansion of y in y
0.055 * [taylor]: Taking taylor expansion of 0 in y
0.057 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.057 * [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
0.059 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.059 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.059 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.059 * [taylor]: Taking taylor expansion of x in y
0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.059 * [taylor]: Taking taylor expansion of y in y
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
0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.062 * [taylor]: Taking taylor expansion of y in x
0.064 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.064 * [taylor]: Taking taylor expansion of x in x
0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.064 * [taylor]: Taking taylor expansion of y in x
0.066 * [taylor]: Taking taylor expansion of 1 in y
0.066 * [taylor]: Taking taylor expansion of 0 in y
0.068 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.068 * [taylor]: Taking taylor expansion of -1/2 in y
0.068 * [taylor]: Taking taylor expansion of y in y
0.070 * [taylor]: Taking taylor expansion of 0 in y
0.073 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.074 * [taylor]: Taking taylor expansion of -1/8 in y
0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.074 * [taylor]: Taking taylor expansion of y in y
0.075 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.075 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.075 * [taylor]: Taking taylor expansion of x in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x
0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x
0.075 * [taylor]: Taking taylor expansion of y in y
0.076 * [taylor]: Taking taylor expansion of 0 in y
0.076 * [taylor]: Taking taylor expansion of 1 in y
0.077 * [taylor]: Taking taylor expansion of 0 in y
0.077 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 y) in y
0.077 * [taylor]: Taking taylor expansion of y in y
0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.078 * [taylor]: Taking taylor expansion of x in x
0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.078 * [taylor]: Taking taylor expansion of y in x
0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.078 * [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 in y
0.080 * [taylor]: Taking taylor expansion of 0 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 0 in y
0.085 * [taylor]: Taking taylor expansion of 0 in y
0.085 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.085 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.085 * [taylor]: Taking taylor expansion of x in y
0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.086 * [taylor]: Taking taylor expansion of y in y
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
0.086 * [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
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.087 * [taylor]: Taking taylor expansion of x in x
0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.087 * [taylor]: Taking taylor expansion of y in x
0.087 * [taylor]: Taking taylor expansion of 1 in y
0.088 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.089 * [taylor]: Taking taylor expansion of y in y
0.091 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * * * [progress]: simplifying candidates
0.095 * [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)
0.096 * * [simplify]: iteration  0 :  59  enodes  (cost  319 )
0.111 * * [simplify]: iteration  1 :  141  enodes  (cost  294 )
0.137 * * [simplify]: iteration  2 :  450  enodes  (cost  258 )
0.259 * * [simplify]: iteration  3 :  1310  enodes  (cost  255 )
0.948 * * [simplify]: iteration  4 :  4666  enodes  (cost  254 )
3.953 * * [simplify]: iteration  done :  5000  enodes  (cost  254 )
3.953 * [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 (+ (pow x 2) y) 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)
  (* (- (- (* y y) 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))
3.954 * * * [progress]: adding candidates to table
4.020 * * [progress]: iteration 2 / 4
4.020 * * * [progress]: picking best candidate
4.022 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
4.022 * * * [progress]: localizing error
4.026 * * * [progress]: generating rewritten candidates
4.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
4.029 * * * [progress]: generating series expansions
4.029 * * * * [progress]: [ 1 / 1 ] generating series at (2)
4.029 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
4.029 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
4.029 * [taylor]: Taking taylor expansion of x in y
4.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
4.029 * [taylor]: Taking taylor expansion of 1/2 in y
4.029 * [taylor]: Taking taylor expansion of (/ y x) in y
4.029 * [taylor]: Taking taylor expansion of y in y
4.029 * [taylor]: Taking taylor expansion of x in y
4.029 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
4.029 * [taylor]: Taking taylor expansion of x in x
4.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
4.029 * [taylor]: Taking taylor expansion of 1/2 in x
4.029 * [taylor]: Taking taylor expansion of (/ y x) in x
4.029 * [taylor]: Taking taylor expansion of y in x
4.029 * [taylor]: Taking taylor expansion of x in x
4.029 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
4.029 * [taylor]: Taking taylor expansion of x in x
4.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
4.029 * [taylor]: Taking taylor expansion of 1/2 in x
4.029 * [taylor]: Taking taylor expansion of (/ y x) in x
4.029 * [taylor]: Taking taylor expansion of y in x
4.029 * [taylor]: Taking taylor expansion of x in x
4.029 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
4.029 * [taylor]: Taking taylor expansion of 1/2 in y
4.029 * [taylor]: Taking taylor expansion of y in y
4.031 * [taylor]: Taking taylor expansion of 0 in y
4.033 * [taylor]: Taking taylor expansion of 1 in y
4.036 * [taylor]: Taking taylor expansion of 0 in y
4.036 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
4.036 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
4.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.037 * [taylor]: Taking taylor expansion of 1/2 in y
4.037 * [taylor]: Taking taylor expansion of (/ x y) in y
4.037 * [taylor]: Taking taylor expansion of x in y
4.037 * [taylor]: Taking taylor expansion of y in y
4.037 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.037 * [taylor]: Taking taylor expansion of x in y
4.037 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
4.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.037 * [taylor]: Taking taylor expansion of 1/2 in x
4.037 * [taylor]: Taking taylor expansion of (/ x y) in x
4.037 * [taylor]: Taking taylor expansion of x in x
4.037 * [taylor]: Taking taylor expansion of y in x
4.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.037 * [taylor]: Taking taylor expansion of x in x
4.037 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
4.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.037 * [taylor]: Taking taylor expansion of 1/2 in x
4.037 * [taylor]: Taking taylor expansion of (/ x y) in x
4.037 * [taylor]: Taking taylor expansion of x in x
4.037 * [taylor]: Taking taylor expansion of y in x
4.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.037 * [taylor]: Taking taylor expansion of x in x
4.038 * [taylor]: Taking taylor expansion of 1 in y
4.038 * [taylor]: Taking taylor expansion of 0 in y
4.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
4.039 * [taylor]: Taking taylor expansion of 1/2 in y
4.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.039 * [taylor]: Taking taylor expansion of y in y
4.041 * [taylor]: Taking taylor expansion of 0 in y
4.043 * [taylor]: Taking taylor expansion of 0 in y
4.043 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
4.043 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
4.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.043 * [taylor]: Taking taylor expansion of 1/2 in y
4.043 * [taylor]: Taking taylor expansion of (/ x y) in y
4.043 * [taylor]: Taking taylor expansion of x in y
4.043 * [taylor]: Taking taylor expansion of y in y
4.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.043 * [taylor]: Taking taylor expansion of x in y
4.043 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
4.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.043 * [taylor]: Taking taylor expansion of 1/2 in x
4.043 * [taylor]: Taking taylor expansion of (/ x y) in x
4.043 * [taylor]: Taking taylor expansion of x in x
4.043 * [taylor]: Taking taylor expansion of y in x
4.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.043 * [taylor]: Taking taylor expansion of x in x
4.046 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
4.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.046 * [taylor]: Taking taylor expansion of 1/2 in x
4.046 * [taylor]: Taking taylor expansion of (/ x y) in x
4.046 * [taylor]: Taking taylor expansion of x in x
4.046 * [taylor]: Taking taylor expansion of y in x
4.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.046 * [taylor]: Taking taylor expansion of x in x
4.047 * [taylor]: Taking taylor expansion of -1 in y
4.048 * [taylor]: Taking taylor expansion of 0 in y
4.049 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
4.049 * [taylor]: Taking taylor expansion of 1/2 in y
4.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.049 * [taylor]: Taking taylor expansion of y in y
4.050 * [taylor]: Taking taylor expansion of 0 in y
4.053 * [taylor]: Taking taylor expansion of 0 in y
4.053 * * * [progress]: simplifying candidates
4.054 * [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)))
4.055 * * [simplify]: iteration  0 :  27  enodes  (cost  166 )
4.060 * * [simplify]: iteration  1 :  86  enodes  (cost  157 )
4.076 * * [simplify]: iteration  2 :  277  enodes  (cost  143 )
4.140 * * [simplify]: iteration  3 :  963  enodes  (cost  143 )
4.421 * * [simplify]: iteration  4 :  3127  enodes  (cost  143 )
5.341 * * [simplify]: iteration  done :  5000  enodes  (cost  143 )
5.342 * [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)))
5.342 * * * [progress]: adding candidates to table
5.363 * * [progress]: iteration 3 / 4
5.363 * * * [progress]: picking best candidate
5.364 * * * * [pick]: Picked  #<alt (λ (x y) (- (* (/ y x) -1/2) x))>
5.364 * * * [progress]: localizing error
5.369 * * * [progress]: generating rewritten candidates
5.369 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
5.373 * * * [progress]: generating series expansions
5.373 * * * * [progress]: [ 1 / 1 ] generating series at (2)
5.373 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0
5.373 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x
5.374 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
5.374 * [taylor]: Taking taylor expansion of x in x
5.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
5.374 * [taylor]: Taking taylor expansion of 1/2 in x
5.374 * [taylor]: Taking taylor expansion of (/ y x) in x
5.374 * [taylor]: Taking taylor expansion of y in x
5.374 * [taylor]: Taking taylor expansion of x in x
5.374 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y
5.374 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
5.374 * [taylor]: Taking taylor expansion of x in y
5.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
5.374 * [taylor]: Taking taylor expansion of 1/2 in y
5.374 * [taylor]: Taking taylor expansion of (/ y x) in y
5.374 * [taylor]: Taking taylor expansion of y in y
5.374 * [taylor]: Taking taylor expansion of x in y
5.374 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y
5.374 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
5.374 * [taylor]: Taking taylor expansion of x in y
5.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
5.374 * [taylor]: Taking taylor expansion of 1/2 in y
5.374 * [taylor]: Taking taylor expansion of (/ y x) in y
5.374 * [taylor]: Taking taylor expansion of y in y
5.374 * [taylor]: Taking taylor expansion of x in y
5.374 * [taylor]: Taking taylor expansion of (- x) in x
5.374 * [taylor]: Taking taylor expansion of x in x
5.374 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x
5.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
5.374 * [taylor]: Taking taylor expansion of 1/2 in x
5.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.374 * [taylor]: Taking taylor expansion of x in x
5.376 * [taylor]: Taking taylor expansion of 0 in x
5.378 * [taylor]: Taking taylor expansion of 0 in x
5.381 * [taylor]: Taking taylor expansion of 0 in x
5.383 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0
5.383 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x
5.383 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
5.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
5.383 * [taylor]: Taking taylor expansion of 1/2 in x
5.383 * [taylor]: Taking taylor expansion of (/ x y) in x
5.383 * [taylor]: Taking taylor expansion of x in x
5.383 * [taylor]: Taking taylor expansion of y in x
5.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.383 * [taylor]: Taking taylor expansion of x in x
5.384 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y
5.384 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
5.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
5.384 * [taylor]: Taking taylor expansion of 1/2 in y
5.384 * [taylor]: Taking taylor expansion of (/ x y) in y
5.384 * [taylor]: Taking taylor expansion of x in y
5.384 * [taylor]: Taking taylor expansion of y in y
5.384 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.384 * [taylor]: Taking taylor expansion of x in y
5.384 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y
5.384 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
5.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
5.384 * [taylor]: Taking taylor expansion of 1/2 in y
5.384 * [taylor]: Taking taylor expansion of (/ x y) in y
5.384 * [taylor]: Taking taylor expansion of x in y
5.384 * [taylor]: Taking taylor expansion of y in y
5.384 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.384 * [taylor]: Taking taylor expansion of x in y
5.384 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x
5.384 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
5.384 * [taylor]: Taking taylor expansion of 1/2 in x
5.384 * [taylor]: Taking taylor expansion of x in x
5.385 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
5.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.385 * [taylor]: Taking taylor expansion of x in x
5.388 * [taylor]: Taking taylor expansion of 0 in x
5.391 * [taylor]: Taking taylor expansion of 0 in x
5.396 * [taylor]: Taking taylor expansion of 0 in x
5.397 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0
5.397 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x
5.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.397 * [taylor]: Taking taylor expansion of x in x
5.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
5.397 * [taylor]: Taking taylor expansion of 1/2 in x
5.397 * [taylor]: Taking taylor expansion of (/ x y) in x
5.397 * [taylor]: Taking taylor expansion of x in x
5.397 * [taylor]: Taking taylor expansion of y in x
5.397 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
5.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.397 * [taylor]: Taking taylor expansion of x in y
5.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
5.397 * [taylor]: Taking taylor expansion of 1/2 in y
5.397 * [taylor]: Taking taylor expansion of (/ x y) in y
5.397 * [taylor]: Taking taylor expansion of x in y
5.397 * [taylor]: Taking taylor expansion of y in y
5.397 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
5.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.397 * [taylor]: Taking taylor expansion of x in y
5.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
5.397 * [taylor]: Taking taylor expansion of 1/2 in y
5.397 * [taylor]: Taking taylor expansion of (/ x y) in y
5.397 * [taylor]: Taking taylor expansion of x in y
5.397 * [taylor]: Taking taylor expansion of y in y
5.398 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x
5.398 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
5.398 * [taylor]: Taking taylor expansion of 1/2 in x
5.398 * [taylor]: Taking taylor expansion of x in x
5.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.399 * [taylor]: Taking taylor expansion of x in x
5.402 * [taylor]: Taking taylor expansion of 0 in x
5.408 * [taylor]: Taking taylor expansion of 0 in x
5.412 * [taylor]: Taking taylor expansion of 0 in x
5.413 * * * [progress]: simplifying candidates
5.413 * [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))))
5.415 * * [simplify]: iteration  0 :  32  enodes  (cost  173 )
5.420 * * [simplify]: iteration  1 :  82  enodes  (cost  166 )
5.434 * * [simplify]: iteration  2 :  230  enodes  (cost  152 )
5.489 * * [simplify]: iteration  3 :  774  enodes  (cost  147 )
5.745 * * [simplify]: iteration  4 :  3178  enodes  (cost  147 )
6.686 * * [simplify]: iteration  done :  5001  enodes  (cost  147 )
6.686 * [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)
6.686 * * * [progress]: adding candidates to table
6.707 * [progress]: [Phase 3 of 3] Extracting.
6.707 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
6.707 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
6.707 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
6.725 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
6.742 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
6.764 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
6.790 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
6.811 * * * [regime]: Found split indices: #<option (#s(si 2 38) #s(si 1 194) #s(si 0 255))>
6.812 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
6.863 * [regimes]: Found splitpoints: (#s(sp 2 x -1.3285272782249076e+154) #s(sp 1 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) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
6.864 * [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)))))
6.864 * * [simplify]: iteration  0 :  18  enodes  (cost  28 )
6.865 * * [simplify]: iteration  1 :  22  enodes  (cost  28 )
6.865 * * [simplify]: iteration  done :  22  enodes  (cost  28 )
6.865 * [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)))))
7.330 * [regime-testing]: Baseline error score: 20.966370796349544
7.331 * [regime-testing]: Oracle error score: 0.0030003750468808603
7.333 * [regime-testing]: End program error score: 0.09925656505926085
7.363 * [regime-testing]: Target error score: 0.42824559930467093