13.832 * [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-egg> :
   (sqrt (+ (* x x) y))
0.018 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.020 * * [simplify]: iteration  1 :  6  enodes  (cost  3 )
0.020 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.020 * * [progress]: iteration 1 / 4
0.020 * * * [progress]: picking best candidate
0.022 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.022 * * * [progress]: localizing error
0.026 * * * [progress]: generating rewritten candidates
0.026 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.031 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.034 * * * [progress]: generating series expansions
0.034 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.034 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.034 * [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
0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.035 * [taylor]: Taking taylor expansion of x in x
0.035 * [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
0.036 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.036 * [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
0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.047 * [taylor]: Taking taylor expansion of y in x
0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.049 * [taylor]: Taking taylor expansion of x in x
0.049 * [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
0.053 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.053 * [taylor]: Taking taylor expansion of 1/2 in y
0.053 * [taylor]: Taking taylor expansion of y in y
0.055 * [taylor]: Taking taylor expansion of 0 in y
0.058 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.058 * [taylor]: Taking taylor expansion of -1/8 in y
0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.058 * [taylor]: Taking taylor expansion of y in y
0.060 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.060 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.060 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.060 * [taylor]: Taking taylor expansion of x in y
0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.060 * [taylor]: Taking taylor expansion of y in y
0.062 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.062 * [taylor]: Taking taylor expansion of x in x
0.062 * [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
0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.065 * [taylor]: Taking taylor expansion of y in x
0.067 * [taylor]: Taking taylor expansion of 1 in y
0.067 * [taylor]: Taking taylor expansion of 0 in y
0.069 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.069 * [taylor]: Taking taylor expansion of -1/2 in y
0.069 * [taylor]: Taking taylor expansion of y in y
0.071 * [taylor]: Taking taylor expansion of 0 in y
0.078 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.078 * [taylor]: Taking taylor expansion of -1/8 in y
0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.078 * [taylor]: Taking taylor expansion of y in y
0.080 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.080 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.080 * [taylor]: Taking taylor expansion of x in y
0.080 * [taylor]: Taking taylor expansion of y in y
0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.080 * [taylor]: Taking taylor expansion of x in x
0.080 * [taylor]: Taking taylor expansion of y in x
0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.080 * [taylor]: Taking taylor expansion of x in x
0.080 * [taylor]: Taking taylor expansion of y in x
0.080 * [taylor]: Taking taylor expansion of y in y
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.081 * [taylor]: Taking taylor expansion of 1 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
0.082 * [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
0.085 * [taylor]: Taking taylor expansion of 0 in y
0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.086 * [taylor]: Taking taylor expansion of y in y
0.088 * [taylor]: Taking taylor expansion of 0 in y
0.090 * [taylor]: Taking taylor expansion of 0 in y
0.090 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.090 * [taylor]: Taking taylor expansion of x in y
0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.090 * [taylor]: Taking taylor expansion of y in y
0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.091 * [taylor]: Taking taylor expansion of x in x
0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.091 * [taylor]: Taking taylor expansion of y in x
0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.091 * [taylor]: Taking taylor expansion of x in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.092 * [taylor]: Taking taylor expansion of y in x
0.092 * [taylor]: Taking taylor expansion of 1 in y
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.094 * [taylor]: Taking taylor expansion of y in y
0.096 * [taylor]: Taking taylor expansion of 0 in y
0.099 * [taylor]: Taking taylor expansion of 0 in y
0.099 * * * [progress]: simplifying candidates
0.100 * [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)
0.103 * * [simplify]: iteration  0 :  141  enodes  (cost  152 )
0.107 * * [simplify]: iteration  1 :  475  enodes  (cost  139 )
0.115 * * [simplify]: iteration  2 :  1515  enodes  (cost  138 )
0.151 * * [simplify]: iteration  3 :  5002  enodes  (cost  136 )
0.152 * [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)
0.152 * * * [progress]: adding candidates to table
0.222 * * [progress]: iteration 2 / 4
0.222 * * * [progress]: picking best candidate
0.225 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.225 * * * [progress]: localizing error
0.230 * * * [progress]: generating rewritten candidates
0.230 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
0.233 * * * [progress]: generating series expansions
0.233 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
0.233 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.233 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.233 * [taylor]: Taking taylor expansion of x in y
0.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.233 * [taylor]: Taking taylor expansion of 1/2 in y
0.233 * [taylor]: Taking taylor expansion of (/ y x) in y
0.233 * [taylor]: Taking taylor expansion of y in y
0.233 * [taylor]: Taking taylor expansion of x in y
0.233 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.233 * [taylor]: Taking taylor expansion of x in x
0.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.233 * [taylor]: Taking taylor expansion of 1/2 in x
0.233 * [taylor]: Taking taylor expansion of (/ y x) in x
0.233 * [taylor]: Taking taylor expansion of y in x
0.233 * [taylor]: Taking taylor expansion of x in x
0.233 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.233 * [taylor]: Taking taylor expansion of x in x
0.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.234 * [taylor]: Taking taylor expansion of 1/2 in x
0.234 * [taylor]: Taking taylor expansion of (/ y x) in x
0.234 * [taylor]: Taking taylor expansion of y in x
0.234 * [taylor]: Taking taylor expansion of x in x
0.234 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.234 * [taylor]: Taking taylor expansion of 1/2 in y
0.234 * [taylor]: Taking taylor expansion of y in y
0.235 * [taylor]: Taking taylor expansion of 0 in y
0.237 * [taylor]: Taking taylor expansion of 1 in y
0.240 * [taylor]: Taking taylor expansion of 0 in y
0.241 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.241 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.241 * [taylor]: Taking taylor expansion of 1/2 in y
0.241 * [taylor]: Taking taylor expansion of (/ x y) in y
0.241 * [taylor]: Taking taylor expansion of x in y
0.241 * [taylor]: Taking taylor expansion of y in y
0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.241 * [taylor]: Taking taylor expansion of x in y
0.241 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.241 * [taylor]: Taking taylor expansion of 1/2 in x
0.241 * [taylor]: Taking taylor expansion of (/ x y) in x
0.241 * [taylor]: Taking taylor expansion of x in x
0.241 * [taylor]: Taking taylor expansion of y in x
0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.241 * [taylor]: Taking taylor expansion of x in x
0.241 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.241 * [taylor]: Taking taylor expansion of 1/2 in x
0.242 * [taylor]: Taking taylor expansion of (/ x y) in x
0.242 * [taylor]: Taking taylor expansion of x in x
0.242 * [taylor]: Taking taylor expansion of y in x
0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.242 * [taylor]: Taking taylor expansion of x in x
0.242 * [taylor]: Taking taylor expansion of 1 in y
0.243 * [taylor]: Taking taylor expansion of 0 in y
0.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.243 * [taylor]: Taking taylor expansion of 1/2 in y
0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.244 * [taylor]: Taking taylor expansion of y in y
0.245 * [taylor]: Taking taylor expansion of 0 in y
0.247 * [taylor]: Taking taylor expansion of 0 in y
0.248 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.248 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.248 * [taylor]: Taking taylor expansion of 1/2 in y
0.248 * [taylor]: Taking taylor expansion of (/ x y) in y
0.248 * [taylor]: Taking taylor expansion of x in y
0.248 * [taylor]: Taking taylor expansion of y in y
0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.248 * [taylor]: Taking taylor expansion of x in y
0.248 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.248 * [taylor]: Taking taylor expansion of 1/2 in x
0.248 * [taylor]: Taking taylor expansion of (/ x y) in x
0.248 * [taylor]: Taking taylor expansion of x in x
0.248 * [taylor]: Taking taylor expansion of y in x
0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.248 * [taylor]: Taking taylor expansion of x in x
0.248 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.248 * [taylor]: Taking taylor expansion of 1/2 in x
0.248 * [taylor]: Taking taylor expansion of (/ x y) in x
0.248 * [taylor]: Taking taylor expansion of x in x
0.248 * [taylor]: Taking taylor expansion of y in x
0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.249 * [taylor]: Taking taylor expansion of x in x
0.249 * [taylor]: Taking taylor expansion of -1 in y
0.250 * [taylor]: Taking taylor expansion of 0 in y
0.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.255 * [taylor]: Taking taylor expansion of 1/2 in y
0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.255 * [taylor]: Taking taylor expansion of y in y
0.257 * [taylor]: Taking taylor expansion of 0 in y
0.259 * [taylor]: Taking taylor expansion of 0 in y
0.260 * * * [progress]: simplifying candidates
0.260 * [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)))
0.263 * * [simplify]: iteration  0 :  83  enodes  (cost  76 )
0.266 * * [simplify]: iteration  1 :  297  enodes  (cost  69 )
0.274 * * [simplify]: iteration  2 :  1101  enodes  (cost  69 )
0.298 * * [simplify]: iteration  3 :  3891  enodes  (cost  69 )
0.373 * * [simplify]: iteration  4 :  5001  enodes  (cost  69 )
0.374 * [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)))
0.374 * * * [progress]: adding candidates to table
0.396 * * [progress]: iteration 3 / 4
0.396 * * * [progress]: picking best candidate
0.398 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.398 * * * [progress]: localizing error
0.402 * * * [progress]: generating rewritten candidates
0.402 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.405 * * * [progress]: generating series expansions
0.405 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.405 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
0.405 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
0.405 * [taylor]: Taking taylor expansion of x in y
0.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
0.405 * [taylor]: Taking taylor expansion of 1/2 in y
0.405 * [taylor]: Taking taylor expansion of (/ y x) in y
0.405 * [taylor]: Taking taylor expansion of y in y
0.405 * [taylor]: Taking taylor expansion of x in y
0.405 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.405 * [taylor]: Taking taylor expansion of x in x
0.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.405 * [taylor]: Taking taylor expansion of 1/2 in x
0.405 * [taylor]: Taking taylor expansion of (/ y x) in x
0.405 * [taylor]: Taking taylor expansion of y in x
0.405 * [taylor]: Taking taylor expansion of x in x
0.405 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
0.405 * [taylor]: Taking taylor expansion of x in x
0.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
0.405 * [taylor]: Taking taylor expansion of 1/2 in x
0.405 * [taylor]: Taking taylor expansion of (/ y x) in x
0.405 * [taylor]: Taking taylor expansion of y in x
0.406 * [taylor]: Taking taylor expansion of x in x
0.406 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
0.406 * [taylor]: Taking taylor expansion of 1/2 in y
0.406 * [taylor]: Taking taylor expansion of y in y
0.407 * [taylor]: Taking taylor expansion of 0 in y
0.409 * [taylor]: Taking taylor expansion of 1 in y
0.412 * [taylor]: Taking taylor expansion of 0 in y
0.413 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.413 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
0.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.413 * [taylor]: Taking taylor expansion of 1/2 in y
0.413 * [taylor]: Taking taylor expansion of (/ x y) in y
0.413 * [taylor]: Taking taylor expansion of x in y
0.413 * [taylor]: Taking taylor expansion of y in y
0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.413 * [taylor]: Taking taylor expansion of x in y
0.413 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.413 * [taylor]: Taking taylor expansion of 1/2 in x
0.413 * [taylor]: Taking taylor expansion of (/ x y) in x
0.413 * [taylor]: Taking taylor expansion of x in x
0.413 * [taylor]: Taking taylor expansion of y in x
0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.413 * [taylor]: Taking taylor expansion of x in x
0.414 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
0.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.414 * [taylor]: Taking taylor expansion of 1/2 in x
0.414 * [taylor]: Taking taylor expansion of (/ x y) in x
0.414 * [taylor]: Taking taylor expansion of x in x
0.414 * [taylor]: Taking taylor expansion of y in x
0.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.414 * [taylor]: Taking taylor expansion of x in x
0.415 * [taylor]: Taking taylor expansion of 1 in y
0.415 * [taylor]: Taking taylor expansion of 0 in y
0.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.416 * [taylor]: Taking taylor expansion of 1/2 in y
0.416 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.416 * [taylor]: Taking taylor expansion of y in y
0.417 * [taylor]: Taking taylor expansion of 0 in y
0.420 * [taylor]: Taking taylor expansion of 0 in y
0.420 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
0.420 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
0.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
0.420 * [taylor]: Taking taylor expansion of 1/2 in y
0.420 * [taylor]: Taking taylor expansion of (/ x y) in y
0.420 * [taylor]: Taking taylor expansion of x in y
0.420 * [taylor]: Taking taylor expansion of y in y
0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.420 * [taylor]: Taking taylor expansion of x in y
0.420 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.420 * [taylor]: Taking taylor expansion of 1/2 in x
0.420 * [taylor]: Taking taylor expansion of (/ x y) in x
0.420 * [taylor]: Taking taylor expansion of x in x
0.420 * [taylor]: Taking taylor expansion of y in x
0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.420 * [taylor]: Taking taylor expansion of x in x
0.421 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
0.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
0.421 * [taylor]: Taking taylor expansion of 1/2 in x
0.421 * [taylor]: Taking taylor expansion of (/ x y) in x
0.421 * [taylor]: Taking taylor expansion of x in x
0.421 * [taylor]: Taking taylor expansion of y in x
0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.421 * [taylor]: Taking taylor expansion of x in x
0.422 * [taylor]: Taking taylor expansion of -1 in y
0.423 * [taylor]: Taking taylor expansion of 0 in y
0.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
0.423 * [taylor]: Taking taylor expansion of 1/2 in y
0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.423 * [taylor]: Taking taylor expansion of y in y
0.425 * [taylor]: Taking taylor expansion of 0 in y
0.428 * [taylor]: Taking taylor expansion of 0 in y
0.428 * * * [progress]: simplifying candidates
0.428 * [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)))
0.432 * * [simplify]: iteration  0 :  83  enodes  (cost  76 )
0.435 * * [simplify]: iteration  1 :  297  enodes  (cost  69 )
0.442 * * [simplify]: iteration  2 :  1101  enodes  (cost  69 )
0.468 * * [simplify]: iteration  3 :  3891  enodes  (cost  69 )
0.543 * * [simplify]: iteration  4 :  5001  enodes  (cost  69 )
0.544 * [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)))
0.544 * * * [progress]: adding candidates to table
0.571 * [progress]: [Phase 3 of 3] Extracting.
0.571 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.571 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
0.571 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.587 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.607 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.627 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.654 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.678 * * * [regime]: Found split indices: #<option (#s(si 2 47) #s(si 0 212) #s(si 1 255))>
0.679 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.710 * [regimes]: Found splitpoints: (#s(sp 2 x -1.3400868672945217e+154) #s(sp 0 x 1.73837375480771e+147) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
0.711 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.3400868672945217e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 1.73837375480771e+147) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
0.711 * * [simplify]: iteration  0 :  22  enodes  (cost  10 )
0.712 * * [simplify]: iteration  1 :  29  enodes  (cost  10 )
0.712 * * [simplify]: iteration  2 :  31  enodes  (cost  10 )
0.712 * * [simplify]: iteration  3 :  31  enodes  (cost  10 )
0.713 * [simplify]: Simplified to:
   (if (<= x -1.3400868672945217e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 1.73837375480771e+147) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
1.202 * [regime-testing]: Baseline error score: 21.366795849481186
1.203 * [regime-testing]: Oracle error score: 0.002976291401682411
1.204 * [regime-testing]: End program error score: 0.006669522462083466
1.235 * [regime-testing]: Target error score: 0.45715201121479054