6.683 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.014 * * * [progress]: [2/2] Setting up program.
0.015 * [progress]: [Phase 2 of 3] Improving.
0.015 * [simplify]: Simplifying:
  (+ (+ (* x x) y) y)
0.015 * [simplify]: Sending expressions to egg_math:
 (+ (+ (* h0 h0) h1) h1)
0.017 * * [simplify]: iteration  0 :  9  enodes  (cost  3 )
0.018 * * [simplify]: iteration  1 :  12  enodes  (cost  3 )
0.019 * * [simplify]: iteration  2 :  13  enodes  (cost  3 )
0.021 * * [simplify]: iteration  3 :  13  enodes  (cost  3 )
0.021 * * [progress]: iteration 1 / 4
0.021 * * * [progress]: picking best candidate
0.022 * * * * [pick]: Picked  #<alt (λ (x y) (+ (+ (* x x) y) y))>
0.022 * * * [progress]: localizing error
0.026 * * * [progress]: generating rewritten candidates
0.026 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.056 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.066 * * * [progress]: generating series expansions
0.066 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.066 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y))
0.066 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0
0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y
0.066 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.066 * [taylor]: Taking taylor expansion of x in y
0.066 * [backup-simplify]: Simplify x into x
0.066 * [taylor]: Taking taylor expansion of (* 2 y) in y
0.066 * [taylor]: Taking taylor expansion of 2 in y
0.067 * [backup-simplify]: Simplify 2 into 2
0.067 * [taylor]: Taking taylor expansion of y in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x
0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.067 * [taylor]: Taking taylor expansion of x in x
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [taylor]: Taking taylor expansion of (* 2 y) in x
0.067 * [taylor]: Taking taylor expansion of 2 in x
0.067 * [backup-simplify]: Simplify 2 into 2
0.067 * [taylor]: Taking taylor expansion of y in x
0.067 * [backup-simplify]: Simplify y into y
0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x
0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.067 * [taylor]: Taking taylor expansion of x in x
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [taylor]: Taking taylor expansion of (* 2 y) in x
0.067 * [taylor]: Taking taylor expansion of 2 in x
0.067 * [backup-simplify]: Simplify 2 into 2
0.067 * [taylor]: Taking taylor expansion of y in x
0.067 * [backup-simplify]: Simplify y into y
0.067 * [backup-simplify]: Simplify (* 2 y) into (* 2 y)
0.067 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
0.067 * [taylor]: Taking taylor expansion of (* 2 y) in y
0.067 * [taylor]: Taking taylor expansion of 2 in y
0.067 * [backup-simplify]: Simplify 2 into 2
0.067 * [taylor]: Taking taylor expansion of y in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [backup-simplify]: Simplify (* 2 0) into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [taylor]: Taking taylor expansion of 0 in y
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
0.068 * [backup-simplify]: Simplify 2 into 2
0.069 * [backup-simplify]: Simplify (* 1 1) into 1
0.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0
0.069 * [backup-simplify]: Simplify (+ 1 0) into 1
0.069 * [taylor]: Taking taylor expansion of 1 in y
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.071 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [taylor]: Taking taylor expansion of 0 in y
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y))
0.072 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))
0.072 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0
0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.072 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.072 * [taylor]: Taking taylor expansion of x in y
0.072 * [backup-simplify]: Simplify x into x
0.072 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.072 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.072 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.073 * [taylor]: Taking taylor expansion of 2 in y
0.073 * [backup-simplify]: Simplify 2 into 2
0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.073 * [taylor]: Taking taylor expansion of y in y
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [backup-simplify]: Simplify (/ 1 1) into 1
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.073 * [taylor]: Taking taylor expansion of x in x
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [backup-simplify]: Simplify (* 1 1) into 1
0.073 * [backup-simplify]: Simplify (/ 1 1) into 1
0.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
0.073 * [taylor]: Taking taylor expansion of 2 in x
0.073 * [backup-simplify]: Simplify 2 into 2
0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.073 * [taylor]: Taking taylor expansion of y in x
0.073 * [backup-simplify]: Simplify y into y
0.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.074 * [taylor]: Taking taylor expansion of x in x
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.074 * [backup-simplify]: Simplify (* 1 1) into 1
0.075 * [backup-simplify]: Simplify (/ 1 1) into 1
0.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
0.075 * [taylor]: Taking taylor expansion of 2 in x
0.075 * [backup-simplify]: Simplify 2 into 2
0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.075 * [taylor]: Taking taylor expansion of y in x
0.075 * [backup-simplify]: Simplify y into y
0.075 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.075 * [backup-simplify]: Simplify (+ 1 0) into 1
0.075 * [taylor]: Taking taylor expansion of 1 in y
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [taylor]: Taking taylor expansion of 0 in y
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
0.077 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
0.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.077 * [taylor]: Taking taylor expansion of 2 in y
0.077 * [backup-simplify]: Simplify 2 into 2
0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.077 * [taylor]: Taking taylor expansion of y in y
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [backup-simplify]: Simplify (/ 1 1) into 1
0.078 * [backup-simplify]: Simplify (* 2 1) into 2
0.078 * [backup-simplify]: Simplify 2 into 2
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.079 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [taylor]: Taking taylor expansion of 0 in y
0.079 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.082 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y))
0.083 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))
0.083 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0
0.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.083 * [taylor]: Taking taylor expansion of x in y
0.083 * [backup-simplify]: Simplify x into x
0.083 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.083 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.083 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.083 * [taylor]: Taking taylor expansion of 2 in y
0.083 * [backup-simplify]: Simplify 2 into 2
0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.083 * [taylor]: Taking taylor expansion of y in y
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (/ 1 1) into 1
0.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 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 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (* 1 1) into 1
0.084 * [backup-simplify]: Simplify (/ 1 1) into 1
0.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
0.084 * [taylor]: Taking taylor expansion of 2 in x
0.084 * [backup-simplify]: Simplify 2 into 2
0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.084 * [taylor]: Taking taylor expansion of y in x
0.084 * [backup-simplify]: Simplify y into y
0.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.084 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.084 * [taylor]: Taking taylor expansion of x in x
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (* 1 1) into 1
0.084 * [backup-simplify]: Simplify (/ 1 1) into 1
0.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
0.084 * [taylor]: Taking taylor expansion of 2 in x
0.084 * [backup-simplify]: Simplify 2 into 2
0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.084 * [taylor]: Taking taylor expansion of y in x
0.084 * [backup-simplify]: Simplify y into y
0.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.085 * [backup-simplify]: Simplify (+ 1 0) into 1
0.085 * [taylor]: Taking taylor expansion of 1 in y
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.086 * [taylor]: Taking taylor expansion of 0 in y
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.087 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
0.087 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y)))
0.087 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y)))
0.087 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y
0.087 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.087 * [taylor]: Taking taylor expansion of 2 in y
0.087 * [backup-simplify]: Simplify 2 into 2
0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.087 * [taylor]: Taking taylor expansion of y in y
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (/ 1 1) into 1
0.087 * [backup-simplify]: Simplify (* 2 1) into 2
0.088 * [backup-simplify]: Simplify (- 2) into -2
0.088 * [backup-simplify]: Simplify -2 into -2
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.089 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
0.089 * [backup-simplify]: Simplify (- 0) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.090 * [backup-simplify]: Simplify (- 0) into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.092 * [backup-simplify]: Simplify (- 0) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y))
0.093 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.093 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.093 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.093 * [taylor]: Taking taylor expansion of x in y
0.093 * [backup-simplify]: Simplify x into x
0.093 * [taylor]: Taking taylor expansion of y in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [taylor]: Taking taylor expansion of y in x
0.093 * [backup-simplify]: Simplify y into y
0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [taylor]: Taking taylor expansion of y in x
0.093 * [backup-simplify]: Simplify y into y
0.093 * [backup-simplify]: Simplify (+ 0 y) into y
0.093 * [taylor]: Taking taylor expansion of y in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (* 1 1) into 1
0.094 * [backup-simplify]: Simplify (+ 1 0) into 1
0.094 * [taylor]: Taking taylor expansion of 1 in y
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
0.095 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
0.095 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.095 * [taylor]: Taking taylor expansion of x in y
0.095 * [backup-simplify]: Simplify x into x
0.095 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.096 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.096 * [taylor]: Taking taylor expansion of y in y
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (/ 1 1) into 1
0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.096 * [taylor]: Taking taylor expansion of x in x
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (* 1 1) into 1
0.096 * [backup-simplify]: Simplify (/ 1 1) into 1
0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.096 * [taylor]: Taking taylor expansion of y in x
0.096 * [backup-simplify]: Simplify y into y
0.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.097 * [taylor]: Taking taylor expansion of x in x
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (* 1 1) into 1
0.097 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.097 * [taylor]: Taking taylor expansion of y in x
0.097 * [backup-simplify]: Simplify y into y
0.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.097 * [backup-simplify]: Simplify (+ 1 0) into 1
0.097 * [taylor]: Taking taylor expansion of 1 in y
0.097 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [taylor]: Taking taylor expansion of 0 in y
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.099 * [taylor]: Taking taylor expansion of y in y
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.100 * [backup-simplify]: Simplify (/ 1 1) into 1
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [taylor]: Taking taylor expansion of 0 in y
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [taylor]: Taking taylor expansion of 0 in y
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
0.103 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.103 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.103 * [taylor]: Taking taylor expansion of x in y
0.103 * [backup-simplify]: Simplify x into x
0.104 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.104 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.104 * [taylor]: Taking taylor expansion of y in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (/ 1 1) into 1
0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.104 * [taylor]: Taking taylor expansion of x in x
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (* 1 1) into 1
0.104 * [backup-simplify]: Simplify (/ 1 1) into 1
0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.104 * [taylor]: Taking taylor expansion of y in x
0.104 * [backup-simplify]: Simplify y into y
0.104 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.105 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.105 * [taylor]: Taking taylor expansion of x in x
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (* 1 1) into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.105 * [taylor]: Taking taylor expansion of y in x
0.105 * [backup-simplify]: Simplify y into y
0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.105 * [backup-simplify]: Simplify (+ 1 0) into 1
0.105 * [taylor]: Taking taylor expansion of 1 in y
0.105 * [backup-simplify]: Simplify 1 into 1
0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [taylor]: Taking taylor expansion of 0 in y
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.108 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.108 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.108 * [taylor]: Taking taylor expansion of y in y
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (/ 1 1) into 1
0.108 * [backup-simplify]: Simplify (- 1) into -1
0.108 * [backup-simplify]: Simplify -1 into -1
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [taylor]: Taking taylor expansion of 0 in y
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.112 * [backup-simplify]: Simplify (- 0) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [taylor]: Taking taylor expansion of 0 in y
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.112 * * * [progress]: simplifying candidates
0.113 * [simplify]: Simplifying:
  (* (* (exp (* x x)) (exp y)) (exp y))
  (* (exp (+ (* x x) y)) (exp y))
  (log (+ (+ (* x x) y) y))
  (exp (+ (+ (* x x) y) y))
  (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y)))
  (cbrt (+ (+ (* x x) y) y))
  (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y))
  (sqrt (+ (+ (* x x) y) y))
  (sqrt (+ (+ (* x x) y) y))
  (+ (pow (+ (* x x) y) 3) (pow y 3))
  (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))
  (- (* (+ (* x x) y) (+ (* x x) y)) (* y y))
  (- (+ (* x x) y) y)
  (+ (+ (* x x) y) y)
  (+ y 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)
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
0.113 * [simplify]: Sending expressions to egg_math:
 (* (* (exp (* h0 h0)) (exp h1)) (exp h1))
 (* (exp (+ (* h0 h0) h1)) (exp h1))
 (log (+ (+ (* h0 h0) h1) h1))
 (exp (+ (+ (* h0 h0) h1) h1))
 (* (cbrt (+ (+ (* h0 h0) h1) h1)) (cbrt (+ (+ (* h0 h0) h1) h1)))
 (cbrt (+ (+ (* h0 h0) h1) h1))
 (* (* (+ (+ (* h0 h0) h1) h1) (+ (+ (* h0 h0) h1) h1)) (+ (+ (* h0 h0) h1) h1))
 (sqrt (+ (+ (* h0 h0) h1) h1))
 (sqrt (+ (+ (* h0 h0) h1) h1))
 (+ (pow (+ (* h0 h0) h1) 3) (pow h1 3))
 (+ (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (- (* h1 h1) (* (+ (* h0 h0) h1) h1)))
 (- (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (* h1 h1))
 (- (+ (* h0 h0) h1) h1)
 (+ (+ (* h0 h0) h1) h1)
 (+ h1 h1)
 (* (exp (* h0 h0)) (exp h1))
 (log (+ (* h0 h0) h1))
 (exp (+ (* h0 h0) h1))
 (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))
 (cbrt (+ (* h0 h0) h1))
 (* (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (+ (* h0 h0) h1))
 (sqrt (+ (* h0 h0) h1))
 (sqrt (+ (* h0 h0) h1))
 (+ (pow (* h0 h0) 3) (pow h1 3))
 (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1)))
 (- (* (* h0 h0) (* h0 h0)) (* h1 h1))
 (- (* h0 h0) h1)
 (+ (pow h0 2) (* 2 h1))
 (+ (pow h0 2) (* 2 h1))
 (+ (pow h0 2) (* 2 h1))
 (+ (pow h0 2) h1)
 (+ (pow h0 2) h1)
 (+ (pow h0 2) h1)
0.116 * * [simplify]: iteration  0 :  136  enodes  (cost  138 )
0.119 * * [simplify]: iteration  1 :  511  enodes  (cost  127 )
0.126 * * [simplify]: iteration  2 :  1640  enodes  (cost  121 )
0.158 * * [simplify]: iteration  3 :  5002  enodes  (cost  120 )
0.159 * * * [progress]: adding candidates to table
0.204 * * [progress]: iteration 2 / 4
0.204 * * * [progress]: picking best candidate
0.204 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (+ y y)))>
0.205 * * * [progress]: localizing error
0.208 * * * [progress]: generating rewritten candidates
0.209 * * * [progress]: generating series expansions
0.209 * * * [progress]: simplifying candidates
0.209 * [simplify]: Simplifying:
  
0.209 * [simplify]: Sending expressions to egg_math:
 
0.211 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.211 * * * [progress]: adding candidates to table
0.211 * [progress]: [Phase 3 of 3] Extracting.
0.212 * [simplify]: Simplifying:
  (+ (* x x) (+ y y))
0.212 * [simplify]: Sending expressions to egg_math:
 (+ (* h0 h0) (+ h1 h1))
0.212 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.213 * * [simplify]: iteration  1 :  6  enodes  (cost  3 )
0.630 * [regime-testing]: End program error score: 0.006077598430318191
0.647 * [regime-testing]: Target error score: 0.006077598430318191