15.848 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.016 * * * [progress]: [2/2] Setting up program.
0.018 * [progress]: [Phase 2 of 3] Improving.
0.018 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (+ (* x x) (* y y))
0.019 * * [simplify]: iteration  0 :  5  enodes  (cost  7 )
0.019 * * [simplify]: iteration  1 :  6  enodes  (cost  7 )
0.020 * * [simplify]: iteration  done :  6  enodes  (cost  7 )
0.020 * [simplify]: Simplified to:
   (+ (* x x) (* y y))
0.020 * * [progress]: iteration 1 / 4
0.020 * * * [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 / 1 ] rewriting at (2)
0.029 * * * [progress]: generating series expansions
0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.029 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.029 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.029 * [taylor]: Taking taylor expansion of x in y
0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.029 * [taylor]: Taking taylor expansion of y in y
0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.029 * [taylor]: Taking taylor expansion of x in x
0.029 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.030 * [taylor]: Taking taylor expansion of y in x
0.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.030 * [taylor]: Taking taylor expansion of x in x
0.030 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.030 * [taylor]: Taking taylor expansion of y in x
0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.030 * [taylor]: Taking taylor expansion of y in y
0.030 * [taylor]: Taking taylor expansion of 0 in y
0.031 * [taylor]: Taking taylor expansion of 1 in y
0.032 * [taylor]: Taking taylor expansion of 0 in y
0.034 * [taylor]: Taking taylor expansion of 0 in y
0.035 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (pow y 2)) in y
0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.035 * [taylor]: Taking taylor expansion of y in y
0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (pow y 2)) in x
0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.036 * [taylor]: Taking taylor expansion of y in x
0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.036 * [taylor]: Taking taylor expansion of x in x
0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.037 * [taylor]: Taking taylor expansion of y in x
0.037 * [taylor]: Taking taylor expansion of 1 in y
0.039 * [taylor]: Taking taylor expansion of 0 in y
0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.040 * [taylor]: Taking taylor expansion of y in y
0.042 * [taylor]: Taking taylor expansion of 0 in y
0.044 * [taylor]: Taking taylor expansion of 0 in y
0.046 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.046 * [taylor]: Taking taylor expansion of x in y
0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.046 * [taylor]: Taking taylor expansion of y in y
0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.047 * [taylor]: Taking taylor expansion of x in x
0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.047 * [taylor]: Taking taylor expansion of y in x
0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.047 * [taylor]: Taking taylor expansion of x in x
0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.048 * [taylor]: Taking taylor expansion of y in x
0.048 * [taylor]: Taking taylor expansion of 1 in y
0.049 * [taylor]: Taking taylor expansion of 0 in y
0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.051 * [taylor]: Taking taylor expansion of y in y
0.053 * [taylor]: Taking taylor expansion of 0 in y
0.055 * [taylor]: Taking taylor expansion of 0 in y
0.057 * * * [progress]: simplifying candidates
0.057 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (* (exp (* x x)) (exp (* y 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) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.058 * * [simplify]: iteration  0 :  30  enodes  (cost  166 )
0.065 * * [simplify]: iteration  1 :  101  enodes  (cost  161 )
0.110 * * [simplify]: iteration  2 :  374  enodes  (cost  131 )
0.188 * * [simplify]: iteration  3 :  742  enodes  (cost  131 )
0.373 * * [simplify]: iteration  4 :  1657  enodes  (cost  131 )
1.155 * * [simplify]: iteration  5 :  4545  enodes  (cost  131 )
2.652 * * [simplify]: iteration  done :  5000  enodes  (cost  131 )
2.652 * [simplify]: Simplified to:
   (exp (+ (* x x) (* y 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)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow x 6) (pow y 6))
  (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y)))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
2.652 * * * [progress]: adding candidates to table
2.680 * * [progress]: iteration 2 / 4
2.680 * * * [progress]: picking best candidate
2.681 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
2.681 * * * [progress]: localizing error
2.688 * * * [progress]: generating rewritten candidates
2.688 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.691 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
2.695 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
2.697 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
2.700 * * * [progress]: generating series expansions
2.700 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.701 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.701 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.701 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.701 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.701 * [taylor]: Taking taylor expansion of x in y
2.701 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.701 * [taylor]: Taking taylor expansion of y in y
2.701 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.702 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.702 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.702 * [taylor]: Taking taylor expansion of x in x
2.702 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.702 * [taylor]: Taking taylor expansion of y in x
2.702 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.702 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.702 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.702 * [taylor]: Taking taylor expansion of x in x
2.702 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.702 * [taylor]: Taking taylor expansion of y in x
2.703 * [taylor]: Taking taylor expansion of y in y
2.703 * [taylor]: Taking taylor expansion of 0 in y
2.704 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.704 * [taylor]: Taking taylor expansion of 1/2 in y
2.704 * [taylor]: Taking taylor expansion of y in y
2.706 * [taylor]: Taking taylor expansion of 0 in y
2.707 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.707 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.707 * [taylor]: Taking taylor expansion of x in y
2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.707 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.707 * [taylor]: Taking taylor expansion of y in y
2.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.710 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.710 * [taylor]: Taking taylor expansion of x in x
2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.710 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.710 * [taylor]: Taking taylor expansion of y in x
2.712 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.712 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.712 * [taylor]: Taking taylor expansion of x in x
2.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.713 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.713 * [taylor]: Taking taylor expansion of y in x
2.715 * [taylor]: Taking taylor expansion of 1 in y
2.715 * [taylor]: Taking taylor expansion of 0 in y
2.717 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.717 * [taylor]: Taking taylor expansion of 1/2 in y
2.717 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.717 * [taylor]: Taking taylor expansion of y in y
2.720 * [taylor]: Taking taylor expansion of 0 in y
2.722 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.722 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.722 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.722 * [taylor]: Taking taylor expansion of x in y
2.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.722 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.722 * [taylor]: Taking taylor expansion of y in y
2.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.724 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.724 * [taylor]: Taking taylor expansion of x in x
2.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.725 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.725 * [taylor]: Taking taylor expansion of y in x
2.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.727 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.727 * [taylor]: Taking taylor expansion of x in x
2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.727 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.727 * [taylor]: Taking taylor expansion of y in x
2.729 * [taylor]: Taking taylor expansion of 1 in y
2.729 * [taylor]: Taking taylor expansion of 0 in y
2.731 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.731 * [taylor]: Taking taylor expansion of 1/2 in y
2.731 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.731 * [taylor]: Taking taylor expansion of y in y
2.735 * [taylor]: Taking taylor expansion of 0 in y
2.736 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
2.736 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.736 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.736 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.736 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.736 * [taylor]: Taking taylor expansion of x in y
2.736 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.736 * [taylor]: Taking taylor expansion of y in y
2.737 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.737 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.737 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.737 * [taylor]: Taking taylor expansion of x in x
2.737 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.737 * [taylor]: Taking taylor expansion of y in x
2.737 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.737 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.737 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.737 * [taylor]: Taking taylor expansion of x in x
2.737 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.737 * [taylor]: Taking taylor expansion of y in x
2.738 * [taylor]: Taking taylor expansion of y in y
2.738 * [taylor]: Taking taylor expansion of 0 in y
2.739 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.739 * [taylor]: Taking taylor expansion of 1/2 in y
2.739 * [taylor]: Taking taylor expansion of y in y
2.741 * [taylor]: Taking taylor expansion of 0 in y
2.742 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.742 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.742 * [taylor]: Taking taylor expansion of x in y
2.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.742 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.742 * [taylor]: Taking taylor expansion of y in y
2.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.747 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.747 * [taylor]: Taking taylor expansion of x in x
2.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.748 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.748 * [taylor]: Taking taylor expansion of y in x
2.750 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.750 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.750 * [taylor]: Taking taylor expansion of x in x
2.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.750 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.750 * [taylor]: Taking taylor expansion of y in x
2.752 * [taylor]: Taking taylor expansion of 1 in y
2.752 * [taylor]: Taking taylor expansion of 0 in y
2.754 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.754 * [taylor]: Taking taylor expansion of 1/2 in y
2.754 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.754 * [taylor]: Taking taylor expansion of y in y
2.757 * [taylor]: Taking taylor expansion of 0 in y
2.759 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.759 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.759 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.759 * [taylor]: Taking taylor expansion of x in y
2.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.759 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.759 * [taylor]: Taking taylor expansion of y in y
2.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.761 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.761 * [taylor]: Taking taylor expansion of x in x
2.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.762 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.762 * [taylor]: Taking taylor expansion of y in x
2.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.764 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.764 * [taylor]: Taking taylor expansion of x in x
2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.764 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.764 * [taylor]: Taking taylor expansion of y in x
2.766 * [taylor]: Taking taylor expansion of 1 in y
2.766 * [taylor]: Taking taylor expansion of 0 in y
2.768 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.768 * [taylor]: Taking taylor expansion of 1/2 in y
2.768 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.768 * [taylor]: Taking taylor expansion of y in y
2.771 * [taylor]: Taking taylor expansion of 0 in y
2.772 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
2.773 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
2.773 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.773 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.773 * [taylor]: Taking taylor expansion of x in y
2.773 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.773 * [taylor]: Taking taylor expansion of y in y
2.773 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.773 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.773 * [taylor]: Taking taylor expansion of x in x
2.773 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.773 * [taylor]: Taking taylor expansion of y in x
2.773 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.773 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.773 * [taylor]: Taking taylor expansion of x in x
2.773 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.773 * [taylor]: Taking taylor expansion of y in x
2.773 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.773 * [taylor]: Taking taylor expansion of y in y
2.773 * [taylor]: Taking taylor expansion of 0 in y
2.774 * [taylor]: Taking taylor expansion of 1 in y
2.775 * [taylor]: Taking taylor expansion of 0 in y
2.777 * [taylor]: Taking taylor expansion of 0 in y
2.778 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.778 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.778 * [taylor]: Taking taylor expansion of x in y
2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.778 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.778 * [taylor]: Taking taylor expansion of y in y
2.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.778 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.778 * [taylor]: Taking taylor expansion of x in x
2.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.779 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.779 * [taylor]: Taking taylor expansion of y in x
2.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.779 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.779 * [taylor]: Taking taylor expansion of x in x
2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.780 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.780 * [taylor]: Taking taylor expansion of y in x
2.780 * [taylor]: Taking taylor expansion of 1 in y
2.781 * [taylor]: Taking taylor expansion of 0 in y
2.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.782 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.782 * [taylor]: Taking taylor expansion of y in y
2.784 * [taylor]: Taking taylor expansion of 0 in y
2.787 * [taylor]: Taking taylor expansion of 0 in y
2.788 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.788 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.788 * [taylor]: Taking taylor expansion of x in y
2.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.788 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.788 * [taylor]: Taking taylor expansion of y in y
2.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.789 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.789 * [taylor]: Taking taylor expansion of x in x
2.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.790 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.790 * [taylor]: Taking taylor expansion of y in x
2.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.790 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.790 * [taylor]: Taking taylor expansion of x in x
2.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.790 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.790 * [taylor]: Taking taylor expansion of y in x
2.791 * [taylor]: Taking taylor expansion of 1 in y
2.792 * [taylor]: Taking taylor expansion of 0 in y
2.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.793 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.793 * [taylor]: Taking taylor expansion of y in y
2.795 * [taylor]: Taking taylor expansion of 0 in y
2.797 * [taylor]: Taking taylor expansion of 0 in y
2.799 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
2.799 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
2.799 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.799 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.799 * [taylor]: Taking taylor expansion of x in y
2.799 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.799 * [taylor]: Taking taylor expansion of y in y
2.799 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.799 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.799 * [taylor]: Taking taylor expansion of x in x
2.799 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.799 * [taylor]: Taking taylor expansion of y in x
2.799 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.799 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.799 * [taylor]: Taking taylor expansion of x in x
2.799 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.799 * [taylor]: Taking taylor expansion of y in x
2.799 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.799 * [taylor]: Taking taylor expansion of y in y
2.799 * [taylor]: Taking taylor expansion of 0 in y
2.800 * [taylor]: Taking taylor expansion of 1 in y
2.802 * [taylor]: Taking taylor expansion of 0 in y
2.804 * [taylor]: Taking taylor expansion of 0 in y
2.804 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.804 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.804 * [taylor]: Taking taylor expansion of x in y
2.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.804 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.804 * [taylor]: Taking taylor expansion of y in y
2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.805 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.805 * [taylor]: Taking taylor expansion of x in x
2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.805 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.805 * [taylor]: Taking taylor expansion of y in x
2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.805 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.805 * [taylor]: Taking taylor expansion of x in x
2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.806 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.806 * [taylor]: Taking taylor expansion of y in x
2.806 * [taylor]: Taking taylor expansion of 1 in y
2.807 * [taylor]: Taking taylor expansion of 0 in y
2.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.809 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.809 * [taylor]: Taking taylor expansion of y in y
2.810 * [taylor]: Taking taylor expansion of 0 in y
2.813 * [taylor]: Taking taylor expansion of 0 in y
2.814 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.814 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.814 * [taylor]: Taking taylor expansion of x in y
2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.815 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.815 * [taylor]: Taking taylor expansion of y in y
2.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.815 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.815 * [taylor]: Taking taylor expansion of x in x
2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.816 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.816 * [taylor]: Taking taylor expansion of y in x
2.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.816 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.816 * [taylor]: Taking taylor expansion of x in x
2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.816 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.816 * [taylor]: Taking taylor expansion of y in x
2.817 * [taylor]: Taking taylor expansion of 1 in y
2.818 * [taylor]: Taking taylor expansion of 0 in y
2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.819 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.819 * [taylor]: Taking taylor expansion of y in y
2.821 * [taylor]: Taking taylor expansion of 0 in y
2.823 * [taylor]: Taking taylor expansion of 0 in y
2.825 * * * [progress]: simplifying candidates
2.828 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (* (exp (* x x)) (exp (* y 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) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (* (exp (* x x)) (exp (* y 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) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
2.830 * * [simplify]: iteration  0 :  48  enodes  (cost  758 )
2.840 * * [simplify]: iteration  1 :  125  enodes  (cost  694 )
2.866 * * [simplify]: iteration  2 :  438  enodes  (cost  590 )
3.063 * * [simplify]: iteration  3 :  1621  enodes  (cost  590 )
3.928 * * [simplify]: iteration  done :  5000  enodes  (cost  590 )
3.929 * [simplify]: Simplified to:
   (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (exp (+ (* x x) (* y 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)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  (exp (+ (* x x) (* y 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)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
3.929 * * * [progress]: adding candidates to table
4.074 * [progress]: [Phase 3 of 3] Extracting.
4.076 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
4.076 * * [simplify]: iteration  0 :  7  enodes  (cost  17 )
4.076 * * [simplify]: iteration  1 :  8  enodes  (cost  17 )
4.076 * * [simplify]: iteration  done :  8  enodes  (cost  17 )
4.076 * [simplify]: Simplified to:
   (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
4.613 * [regime-testing]: End program error score: 0.015306236718081352