4.516 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.017 * * * [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 )
0.020 * * [simplify]: iteration  1 :  6  enodes  (cost  7 )
0.021 * * [simplify]: iteration  done :  6  enodes  (cost  7 )
0.021 * [simplify]: Simplified to:
   (+ (* x x) (* y y))
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
0.027 * * * [progress]: generating rewritten candidates
0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.029 * * * [progress]: generating series expansions
0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.030 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.030 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.030 * [taylor]: Taking taylor expansion of x in y
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 (+ (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 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
0.031 * [taylor]: Taking taylor expansion of 0 in y
0.031 * [taylor]: Taking taylor expansion of 1 in y
0.033 * [taylor]: Taking taylor expansion of 0 in y
0.035 * [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
0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.037 * [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
0.038 * [taylor]: Taking taylor expansion of 0 in y
0.039 * [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
0.041 * [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
0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 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 (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
0.050 * [taylor]: Taking taylor expansion of y in y
0.052 * [taylor]: Taking taylor expansion of 0 in y
0.055 * [taylor]: Taking taylor expansion of 0 in y
0.056 * * * [progress]: simplifying candidates
0.056 * [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 )
0.067 * * [simplify]: iteration  1 :  101  enodes  (cost  161 )
0.102 * * [simplify]: iteration  2 :  374  enodes  (cost  131 )
0.219 * * [simplify]: iteration  3 :  954  enodes  (cost  131 )
0.879 * * [simplify]: iteration  4 :  3900  enodes  (cost  131 )
2.819 * * [simplify]: iteration  done :  5001  enodes  (cost  131 )
2.819 * [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))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
2.819 * * * [progress]: adding candidates to table
2.843 * * [progress]: iteration 2 / 4
2.843 * * * [progress]: picking best candidate
2.845 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
2.845 * * * [progress]: localizing error
2.851 * * * [progress]: generating rewritten candidates
2.851 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.855 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
2.858 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
2.861 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
2.864 * * * [progress]: generating series expansions
2.864 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.865 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.865 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.865 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.865 * [taylor]: Taking taylor expansion of x in y
2.865 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.865 * [taylor]: Taking taylor expansion of y in y
2.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.865 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.866 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.866 * [taylor]: Taking taylor expansion of x in x
2.866 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.866 * [taylor]: Taking taylor expansion of y in x
2.866 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.866 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.866 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.866 * [taylor]: Taking taylor expansion of x in x
2.866 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.866 * [taylor]: Taking taylor expansion of y in x
2.869 * [taylor]: Taking taylor expansion of y in y
2.869 * [taylor]: Taking taylor expansion of 0 in y
2.871 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.871 * [taylor]: Taking taylor expansion of 1/2 in y
2.871 * [taylor]: Taking taylor expansion of y in y
2.873 * [taylor]: Taking taylor expansion of 0 in y
2.874 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.874 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.874 * [taylor]: Taking taylor expansion of x in y
2.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.874 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.874 * [taylor]: Taking taylor expansion of y in y
2.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.876 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.876 * [taylor]: Taking taylor expansion of x in x
2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.877 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.877 * [taylor]: Taking taylor expansion of y in x
2.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.879 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.879 * [taylor]: Taking taylor expansion of x in x
2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.879 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.879 * [taylor]: Taking taylor expansion of y in x
2.881 * [taylor]: Taking taylor expansion of 1 in y
2.881 * [taylor]: Taking taylor expansion of 0 in y
2.883 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.883 * [taylor]: Taking taylor expansion of 1/2 in y
2.883 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.883 * [taylor]: Taking taylor expansion of y in y
2.887 * [taylor]: Taking taylor expansion of 0 in y
2.888 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.888 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.888 * [taylor]: Taking taylor expansion of x in y
2.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.888 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.888 * [taylor]: Taking taylor expansion of y in y
2.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.890 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.890 * [taylor]: Taking taylor expansion of x in x
2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.891 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.891 * [taylor]: Taking taylor expansion of y in x
2.893 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.893 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.893 * [taylor]: Taking taylor expansion of x in x
2.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.894 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.894 * [taylor]: Taking taylor expansion of y in x
2.896 * [taylor]: Taking taylor expansion of 1 in y
2.896 * [taylor]: Taking taylor expansion of 0 in y
2.898 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.898 * [taylor]: Taking taylor expansion of 1/2 in y
2.898 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.898 * [taylor]: Taking taylor expansion of y in y
2.901 * [taylor]: Taking taylor expansion of 0 in y
2.902 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
2.902 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.902 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.902 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.902 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.902 * [taylor]: Taking taylor expansion of x in y
2.902 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.902 * [taylor]: Taking taylor expansion of y in y
2.903 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.903 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.903 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.903 * [taylor]: Taking taylor expansion of x in x
2.903 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.903 * [taylor]: Taking taylor expansion of y in x
2.903 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.903 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.903 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.903 * [taylor]: Taking taylor expansion of x in x
2.903 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.903 * [taylor]: Taking taylor expansion of y in x
2.904 * [taylor]: Taking taylor expansion of y in y
2.904 * [taylor]: Taking taylor expansion of 0 in y
2.905 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.905 * [taylor]: Taking taylor expansion of 1/2 in y
2.905 * [taylor]: Taking taylor expansion of y in y
2.907 * [taylor]: Taking taylor expansion of 0 in y
2.908 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.908 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.908 * [taylor]: Taking taylor expansion of x in y
2.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.908 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.908 * [taylor]: Taking taylor expansion of y in y
2.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.910 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.910 * [taylor]: Taking taylor expansion of x in x
2.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.911 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.911 * [taylor]: Taking taylor expansion of y in x
2.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.913 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.913 * [taylor]: Taking taylor expansion of x in x
2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.914 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.914 * [taylor]: Taking taylor expansion of y in x
2.915 * [taylor]: Taking taylor expansion of 1 in y
2.916 * [taylor]: Taking taylor expansion of 0 in y
2.917 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.917 * [taylor]: Taking taylor expansion of 1/2 in y
2.917 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.918 * [taylor]: Taking taylor expansion of y in y
2.921 * [taylor]: Taking taylor expansion of 0 in y
2.922 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.922 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.922 * [taylor]: Taking taylor expansion of x in y
2.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.922 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.922 * [taylor]: Taking taylor expansion of y in y
2.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.925 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.925 * [taylor]: Taking taylor expansion of x in x
2.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.925 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.925 * [taylor]: Taking taylor expansion of y in x
2.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.927 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.927 * [taylor]: Taking taylor expansion of x in x
2.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.928 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.928 * [taylor]: Taking taylor expansion of y in x
2.930 * [taylor]: Taking taylor expansion of 1 in y
2.930 * [taylor]: Taking taylor expansion of 0 in y
2.932 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.932 * [taylor]: Taking taylor expansion of 1/2 in y
2.932 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.932 * [taylor]: Taking taylor expansion of y in y
2.935 * [taylor]: Taking taylor expansion of 0 in y
2.936 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
2.936 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
2.936 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.936 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.936 * [taylor]: Taking taylor expansion of x in y
2.936 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.936 * [taylor]: Taking taylor expansion of y in y
2.936 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.936 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.936 * [taylor]: Taking taylor expansion of x in x
2.936 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.936 * [taylor]: Taking taylor expansion of y in x
2.936 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.937 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.937 * [taylor]: Taking taylor expansion of x in x
2.937 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.937 * [taylor]: Taking taylor expansion of y in x
2.937 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.937 * [taylor]: Taking taylor expansion of y in y
2.937 * [taylor]: Taking taylor expansion of 0 in y
2.938 * [taylor]: Taking taylor expansion of 1 in y
2.939 * [taylor]: Taking taylor expansion of 0 in y
2.941 * [taylor]: Taking taylor expansion of 0 in y
2.941 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.941 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.941 * [taylor]: Taking taylor expansion of x in y
2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.942 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.942 * [taylor]: Taking taylor expansion of y in y
2.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.942 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.942 * [taylor]: Taking taylor expansion of x in x
2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.943 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.943 * [taylor]: Taking taylor expansion of y in x
2.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.943 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.943 * [taylor]: Taking taylor expansion of x in x
2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.943 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.943 * [taylor]: Taking taylor expansion of y in x
2.944 * [taylor]: Taking taylor expansion of 1 in y
2.945 * [taylor]: Taking taylor expansion of 0 in y
2.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.946 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.946 * [taylor]: Taking taylor expansion of y in y
2.948 * [taylor]: Taking taylor expansion of 0 in y
2.950 * [taylor]: Taking taylor expansion of 0 in y
2.954 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.954 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.954 * [taylor]: Taking taylor expansion of x in y
2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.955 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.955 * [taylor]: Taking taylor expansion of y in y
2.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.955 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.955 * [taylor]: Taking taylor expansion of x in x
2.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.956 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.956 * [taylor]: Taking taylor expansion of y in x
2.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.956 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.956 * [taylor]: Taking taylor expansion of x in x
2.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.956 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.956 * [taylor]: Taking taylor expansion of y in x
2.957 * [taylor]: Taking taylor expansion of 1 in y
2.958 * [taylor]: Taking taylor expansion of 0 in y
2.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.959 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.959 * [taylor]: Taking taylor expansion of y in y
2.961 * [taylor]: Taking taylor expansion of 0 in y
2.964 * [taylor]: Taking taylor expansion of 0 in y
2.965 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
2.965 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
2.965 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.965 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.965 * [taylor]: Taking taylor expansion of x in y
2.965 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.965 * [taylor]: Taking taylor expansion of y in y
2.965 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.965 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.965 * [taylor]: Taking taylor expansion of x in x
2.965 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.965 * [taylor]: Taking taylor expansion of y in x
2.965 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.965 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.965 * [taylor]: Taking taylor expansion of x in x
2.965 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.965 * [taylor]: Taking taylor expansion of y in x
2.965 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.965 * [taylor]: Taking taylor expansion of y in y
2.966 * [taylor]: Taking taylor expansion of 0 in y
2.966 * [taylor]: Taking taylor expansion of 1 in y
2.968 * [taylor]: Taking taylor expansion of 0 in y
2.970 * [taylor]: Taking taylor expansion of 0 in y
2.970 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.970 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.970 * [taylor]: Taking taylor expansion of x in y
2.970 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.970 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.970 * [taylor]: Taking taylor expansion of y in y
2.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.971 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.971 * [taylor]: Taking taylor expansion of x in x
2.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.971 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.971 * [taylor]: Taking taylor expansion of y in x
2.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.971 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.971 * [taylor]: Taking taylor expansion of x in x
2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.972 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.972 * [taylor]: Taking taylor expansion of y in x
2.972 * [taylor]: Taking taylor expansion of 1 in y
2.973 * [taylor]: Taking taylor expansion of 0 in y
2.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.974 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.974 * [taylor]: Taking taylor expansion of y in y
2.976 * [taylor]: Taking taylor expansion of 0 in y
2.979 * [taylor]: Taking taylor expansion of 0 in y
2.980 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.980 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.980 * [taylor]: Taking taylor expansion of x in y
2.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.980 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.981 * [taylor]: Taking taylor expansion of y in y
2.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.981 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.981 * [taylor]: Taking taylor expansion of x in x
2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.982 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.982 * [taylor]: Taking taylor expansion of y in x
2.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.982 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.982 * [taylor]: Taking taylor expansion of x in x
2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.982 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.982 * [taylor]: Taking taylor expansion of y in x
2.983 * [taylor]: Taking taylor expansion of 1 in y
2.984 * [taylor]: Taking taylor expansion of 0 in y
2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.985 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.985 * [taylor]: Taking taylor expansion of y in y
2.987 * [taylor]: Taking taylor expansion of 0 in y
2.990 * [taylor]: Taking taylor expansion of 0 in y
2.991 * * * [progress]: simplifying candidates
2.992 * [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))
2.994 * * [simplify]: iteration  0 :  48  enodes  (cost  758 )
3.003 * * [simplify]: iteration  1 :  125  enodes  (cost  694 )
3.033 * * [simplify]: iteration  2 :  439  enodes  (cost  590 )
3.194 * * [simplify]: iteration  3 :  1646  enodes  (cost  590 )
3.880 * * [simplify]: iteration  done :  5000  enodes  (cost  590 )
3.880 * [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 (+ (* (* y y) (- (* y y) (* x x))) (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 (+ (* (* y y) (- (* y y) (* x x))) (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))
  (+ (* (* y y) (- (* y y) (* x x))) (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))
  (+ (* (* y y) (- (* y y) (* x x))) (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))
3.881 * * * [progress]: adding candidates to table
4.010 * [progress]: [Phase 3 of 3] Extracting.
4.011 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
4.011 * * [simplify]: iteration  0 :  7  enodes  (cost  17 )
4.012 * * [simplify]: iteration  1 :  8  enodes  (cost  17 )
4.012 * * [simplify]: iteration  done :  8  enodes  (cost  17 )
4.012 * [simplify]: Simplified to:
   (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
4.537 * [regime-testing]: End program error score: 0.015306236718081352