7.728 * [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-egg> :
   (sqrt (+ (* x x) y))
0.020 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.021 * * [simplify]: iteration  1 :  6  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
0.031 * * * [progress]: generating rewritten candidates
0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.034 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.039 * * * [progress]: generating series expansions
0.039 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.039 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.039 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.039 * [taylor]: Taking taylor expansion of x in y
0.039 * [taylor]: Taking taylor expansion of y in y
0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.040 * [taylor]: Taking taylor expansion of x in x
0.040 * [taylor]: Taking taylor expansion of y in x
0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.040 * [taylor]: Taking taylor expansion of x in x
0.040 * [taylor]: Taking taylor expansion of y in x
0.041 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.041 * [taylor]: Taking taylor expansion of y in y
0.042 * [taylor]: Taking taylor expansion of 0 in y
0.043 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.043 * [taylor]: Taking taylor expansion of 1/2 in y
0.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.043 * [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
0.050 * [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
0.050 * [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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.052 * [taylor]: Taking taylor expansion of x in x
0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.053 * [taylor]: Taking taylor expansion of y in x
0.055 * [taylor]: Taking taylor expansion of 1 in y
0.055 * [taylor]: Taking taylor expansion of 0 in y
0.056 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.056 * [taylor]: Taking taylor expansion of 1/2 in y
0.056 * [taylor]: Taking taylor expansion of y in y
0.058 * [taylor]: Taking taylor expansion of 0 in y
0.061 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.061 * [taylor]: Taking taylor expansion of -1/8 in y
0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.061 * [taylor]: Taking taylor expansion of y in y
0.063 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.063 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.063 * [taylor]: Taking taylor expansion of x in y
0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.063 * [taylor]: Taking taylor expansion of y in y
0.065 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.065 * [taylor]: Taking taylor expansion of x in x
0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.066 * [taylor]: Taking taylor expansion of y in x
0.067 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.068 * [taylor]: Taking taylor expansion of x in x
0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.068 * [taylor]: Taking taylor expansion of y in x
0.070 * [taylor]: Taking taylor expansion of 1 in y
0.070 * [taylor]: Taking taylor expansion of 0 in y
0.072 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.072 * [taylor]: Taking taylor expansion of -1/2 in y
0.072 * [taylor]: Taking taylor expansion of y in y
0.074 * [taylor]: Taking taylor expansion of 0 in y
0.077 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.077 * [taylor]: Taking taylor expansion of -1/8 in y
0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.077 * [taylor]: Taking taylor expansion of y in y
0.079 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.079 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.079 * [taylor]: Taking taylor expansion of x in y
0.079 * [taylor]: Taking taylor expansion of y in y
0.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x
0.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x
0.079 * [taylor]: Taking taylor expansion of y in y
0.079 * [taylor]: Taking taylor expansion of 0 in y
0.080 * [taylor]: Taking taylor expansion of 1 in y
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.081 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.081 * [taylor]: Taking taylor expansion of x in y
0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.081 * [taylor]: Taking taylor expansion of y in y
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.081 * [taylor]: Taking taylor expansion of x in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.082 * [taylor]: Taking taylor expansion of y in x
0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.082 * [taylor]: Taking taylor expansion of x in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.082 * [taylor]: Taking taylor expansion of y in x
0.083 * [taylor]: Taking taylor expansion of 1 in y
0.084 * [taylor]: Taking taylor expansion of 0 in y
0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.085 * [taylor]: Taking taylor expansion of y in y
0.086 * [taylor]: Taking taylor expansion of 0 in y
0.088 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.089 * [taylor]: Taking taylor expansion of x in y
0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.089 * [taylor]: Taking taylor expansion of y in y
0.089 * [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
0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.090 * [taylor]: Taking taylor expansion of y in x
0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.090 * [taylor]: Taking taylor expansion of y in x
0.091 * [taylor]: Taking taylor expansion of 1 in y
0.092 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.093 * [taylor]: Taking taylor expansion of y in y
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.097 * [taylor]: Taking taylor expansion of 0 in y
0.097 * * * [progress]: simplifying candidates
0.098 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (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)
0.101 * * [simplify]: iteration  0 :  141  enodes  (cost  152 )
0.104 * * [simplify]: iteration  1 :  475  enodes  (cost  139 )
0.112 * * [simplify]: iteration  2 :  1515  enodes  (cost  138 )
0.144 * * [simplify]: iteration  3 :  5002  enodes  (cost  136 )
0.146 * [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 (* 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) y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (pow (+ (* x x) y) 3)
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (- (+ (pow x 4) (pow y 2)) (* (* x x) y))
  (- (pow x 4) (pow y 2))
  (- (* x x) y)
  (* +nan.0 (- (- (pow y 2) y) (pow x 2)))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (+ (* x x) y)
  (+ (* x x) y)
  (+ (* x x) y)
0.146 * * * [progress]: adding candidates to table
0.202 * * [progress]: iteration 2 / 4
0.202 * * * [progress]: picking best candidate
0.204 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.204 * * * [progress]: localizing error
0.208 * * * [progress]: generating rewritten candidates
0.209 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.211 * * * [progress]: generating series expansions
0.211 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.212 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.212 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.212 * [taylor]: Taking taylor expansion of x in y
0.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.212 * [taylor]: Taking taylor expansion of 1/2 in y
0.212 * [taylor]: Taking taylor expansion of (/ y x) in y
0.212 * [taylor]: Taking taylor expansion of y in y
0.212 * [taylor]: Taking taylor expansion of x in y
0.212 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.212 * [taylor]: Taking taylor expansion of x in x
0.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.212 * [taylor]: Taking taylor expansion of 1/2 in x
0.212 * [taylor]: Taking taylor expansion of (/ y x) in x
0.212 * [taylor]: Taking taylor expansion of y in x
0.212 * [taylor]: Taking taylor expansion of x in x
0.212 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.212 * [taylor]: Taking taylor expansion of x in x
0.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.212 * [taylor]: Taking taylor expansion of 1/2 in x
0.212 * [taylor]: Taking taylor expansion of (/ y x) in x
0.212 * [taylor]: Taking taylor expansion of y in x
0.212 * [taylor]: Taking taylor expansion of x in x
0.212 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.212 * [taylor]: Taking taylor expansion of 1/2 in y
0.212 * [taylor]: Taking taylor expansion of y in y
0.214 * [taylor]: Taking taylor expansion of 0 in y
0.216 * [taylor]: Taking taylor expansion of 1 in y
0.218 * [taylor]: Taking taylor expansion of 0 in y
0.219 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.219 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.219 * [taylor]: Taking taylor expansion of 1/2 in y
0.219 * [taylor]: Taking taylor expansion of (/ x y) in y
0.219 * [taylor]: Taking taylor expansion of x in y
0.219 * [taylor]: Taking taylor expansion of y in y
0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.219 * [taylor]: Taking taylor expansion of x in y
0.219 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.220 * [taylor]: Taking taylor expansion of 1/2 in x
0.220 * [taylor]: Taking taylor expansion of (/ x y) in x
0.220 * [taylor]: Taking taylor expansion of x in x
0.220 * [taylor]: Taking taylor expansion of y in x
0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.220 * [taylor]: Taking taylor expansion of x in x
0.220 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.220 * [taylor]: Taking taylor expansion of 1/2 in x
0.220 * [taylor]: Taking taylor expansion of (/ x y) in x
0.220 * [taylor]: Taking taylor expansion of x in x
0.220 * [taylor]: Taking taylor expansion of y in x
0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.220 * [taylor]: Taking taylor expansion of x in x
0.221 * [taylor]: Taking taylor expansion of 1 in y
0.221 * [taylor]: Taking taylor expansion of 0 in y
0.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.222 * [taylor]: Taking taylor expansion of 1/2 in y
0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.222 * [taylor]: Taking taylor expansion of y in y
0.228 * [taylor]: Taking taylor expansion of 0 in y
0.230 * [taylor]: Taking taylor expansion of 0 in y
0.231 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.231 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.231 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.231 * [taylor]: Taking taylor expansion of 1/2 in y
0.231 * [taylor]: Taking taylor expansion of (/ x y) in y
0.231 * [taylor]: Taking taylor expansion of x in y
0.231 * [taylor]: Taking taylor expansion of y in y
0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.231 * [taylor]: Taking taylor expansion of x in y
0.231 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.231 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.231 * [taylor]: Taking taylor expansion of 1/2 in x
0.231 * [taylor]: Taking taylor expansion of (/ x y) in x
0.231 * [taylor]: Taking taylor expansion of x in x
0.231 * [taylor]: Taking taylor expansion of y in x
0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.231 * [taylor]: Taking taylor expansion of x in x
0.231 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.231 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.231 * [taylor]: Taking taylor expansion of 1/2 in x
0.231 * [taylor]: Taking taylor expansion of (/ x y) in x
0.231 * [taylor]: Taking taylor expansion of x in x
0.232 * [taylor]: Taking taylor expansion of y in x
0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.232 * [taylor]: Taking taylor expansion of x in x
0.232 * [taylor]: Taking taylor expansion of -1 in y
0.233 * [taylor]: Taking taylor expansion of 0 in y
0.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.234 * [taylor]: Taking taylor expansion of 1/2 in y
0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.234 * [taylor]: Taking taylor expansion of y in y
0.236 * [taylor]: Taking taylor expansion of 0 in y
0.238 * [taylor]: Taking taylor expansion of 0 in y
0.239 * * * [progress]: simplifying candidates
0.239 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (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)))
0.242 * * [simplify]: iteration  0 :  83  enodes  (cost  76 )
0.244 * * [simplify]: iteration  1 :  297  enodes  (cost  69 )
0.251 * * [simplify]: iteration  2 :  1101  enodes  (cost  69 )
0.273 * * [simplify]: iteration  3 :  3891  enodes  (cost  69 )
0.344 * * [simplify]: iteration  4 :  5001  enodes  (cost  69 )
0.345 * [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))
  (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x 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)))
0.345 * * * [progress]: adding candidates to table
0.362 * * [progress]: iteration 3 / 4
0.362 * * * [progress]: picking best candidate
0.363 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.363 * * * [progress]: localizing error
0.368 * * * [progress]: generating rewritten candidates
0.368 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
0.371 * * * [progress]: generating series expansions
0.371 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
0.371 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.371 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.371 * [taylor]: Taking taylor expansion of x in y
0.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.371 * [taylor]: Taking taylor expansion of 1/2 in y
0.371 * [taylor]: Taking taylor expansion of (/ y x) in y
0.371 * [taylor]: Taking taylor expansion of y in y
0.371 * [taylor]: Taking taylor expansion of x in y
0.372 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.372 * [taylor]: Taking taylor expansion of x in x
0.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.372 * [taylor]: Taking taylor expansion of 1/2 in x
0.372 * [taylor]: Taking taylor expansion of (/ y x) in x
0.372 * [taylor]: Taking taylor expansion of y in x
0.372 * [taylor]: Taking taylor expansion of x in x
0.372 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.372 * [taylor]: Taking taylor expansion of x in x
0.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.372 * [taylor]: Taking taylor expansion of 1/2 in x
0.372 * [taylor]: Taking taylor expansion of (/ y x) in x
0.372 * [taylor]: Taking taylor expansion of y in x
0.372 * [taylor]: Taking taylor expansion of x in x
0.372 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.372 * [taylor]: Taking taylor expansion of 1/2 in y
0.372 * [taylor]: Taking taylor expansion of y in y
0.374 * [taylor]: Taking taylor expansion of 0 in y
0.376 * [taylor]: Taking taylor expansion of 1 in y
0.378 * [taylor]: Taking taylor expansion of 0 in y
0.379 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.379 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.379 * [taylor]: Taking taylor expansion of 1/2 in y
0.379 * [taylor]: Taking taylor expansion of (/ x y) in y
0.379 * [taylor]: Taking taylor expansion of x in y
0.379 * [taylor]: Taking taylor expansion of y in y
0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.379 * [taylor]: Taking taylor expansion of x in y
0.379 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.379 * [taylor]: Taking taylor expansion of 1/2 in x
0.379 * [taylor]: Taking taylor expansion of (/ x y) in x
0.379 * [taylor]: Taking taylor expansion of x in x
0.379 * [taylor]: Taking taylor expansion of y in x
0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.379 * [taylor]: Taking taylor expansion of x in x
0.380 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.380 * [taylor]: Taking taylor expansion of 1/2 in x
0.380 * [taylor]: Taking taylor expansion of (/ x y) in x
0.380 * [taylor]: Taking taylor expansion of x in x
0.380 * [taylor]: Taking taylor expansion of y in x
0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.380 * [taylor]: Taking taylor expansion of x in x
0.380 * [taylor]: Taking taylor expansion of 1 in y
0.381 * [taylor]: Taking taylor expansion of 0 in y
0.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.382 * [taylor]: Taking taylor expansion of 1/2 in y
0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.382 * [taylor]: Taking taylor expansion of y in y
0.383 * [taylor]: Taking taylor expansion of 0 in y
0.385 * [taylor]: Taking taylor expansion of 0 in y
0.386 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.386 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.386 * [taylor]: Taking taylor expansion of 1/2 in y
0.386 * [taylor]: Taking taylor expansion of (/ x y) in y
0.386 * [taylor]: Taking taylor expansion of x in y
0.386 * [taylor]: Taking taylor expansion of y in y
0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.386 * [taylor]: Taking taylor expansion of x in y
0.386 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.386 * [taylor]: Taking taylor expansion of 1/2 in x
0.386 * [taylor]: Taking taylor expansion of (/ x y) in x
0.386 * [taylor]: Taking taylor expansion of x in x
0.386 * [taylor]: Taking taylor expansion of y in x
0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.386 * [taylor]: Taking taylor expansion of x in x
0.386 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.386 * [taylor]: Taking taylor expansion of 1/2 in x
0.387 * [taylor]: Taking taylor expansion of (/ x y) in x
0.387 * [taylor]: Taking taylor expansion of x in x
0.387 * [taylor]: Taking taylor expansion of y in x
0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.387 * [taylor]: Taking taylor expansion of x in x
0.387 * [taylor]: Taking taylor expansion of -1 in y
0.388 * [taylor]: Taking taylor expansion of 0 in y
0.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.389 * [taylor]: Taking taylor expansion of 1/2 in y
0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.389 * [taylor]: Taking taylor expansion of y in y
0.391 * [taylor]: Taking taylor expansion of 0 in y
0.393 * [taylor]: Taking taylor expansion of 0 in y
0.394 * * * [progress]: simplifying candidates
0.394 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (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)))
0.397 * * [simplify]: iteration  0 :  83  enodes  (cost  76 )
0.399 * * [simplify]: iteration  1 :  297  enodes  (cost  69 )
0.406 * * [simplify]: iteration  2 :  1101  enodes  (cost  69 )
0.428 * * [simplify]: iteration  3 :  3891  enodes  (cost  69 )
0.498 * * [simplify]: iteration  4 :  5001  enodes  (cost  69 )
0.499 * [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))
  (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x 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)))
0.499 * * * [progress]: adding candidates to table
0.521 * [progress]: [Phase 3 of 3] Extracting.
0.521 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.521 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
0.521 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.535 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.555 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.574 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.619 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.646 * * * [regime]: Found split indices: #<option (#s(si 1 40) #s(si 2 190) #s(si 0 255))>
0.647 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.694 * [regimes]: Found splitpoints: (#s(sp 1 x -1.365417780921506e+154) #s(sp 2 x 4.0113516464090877e+114) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
0.694 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.365417780921506e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 4.0113516464090877e+114) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
0.695 * * [simplify]: iteration  0 :  22  enodes  (cost  10 )
0.695 * * [simplify]: iteration  1 :  29  enodes  (cost  10 )
0.696 * * [simplify]: iteration  2 :  31  enodes  (cost  10 )
0.696 * * [simplify]: iteration  3 :  31  enodes  (cost  10 )
0.696 * [simplify]: Simplified to:
   (if (<= x -1.365417780921506e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 4.0113516464090877e+114) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
1.250 * [regime-testing]: Baseline error score: 21.614951868983624
1.250 * [regime-testing]: Oracle error score: 0.0023752969121140144
1.252 * [regime-testing]: End program error score: 0.09058719358938937
1.283 * [regime-testing]: Target error score: 0.6478248329916465