0.002 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.258 * * * [progress]: [2/2] Setting up program.
0.265 * [progress]: [Phase 2 of 3] Improving.
0.265 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.266 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.266 * * [simplify]: iteration 1: (13 enodes)
0.274 * * [simplify]: iteration 2: (56 enodes)
0.293 * * [simplify]: iteration 3: (99 enodes)
0.326 * * [simplify]: iteration 4: (183 enodes)
0.408 * * [simplify]: iteration 5: (374 enodes)
0.563 * * [simplify]: iteration 6: (870 enodes)
1.217 * * [simplify]: Extracting #0: cost 1 inf + 0
1.217 * * [simplify]: Extracting #1: cost 71 inf + 0
1.218 * * [simplify]: Extracting #2: cost 308 inf + 1
1.220 * * [simplify]: Extracting #3: cost 409 inf + 250
1.223 * * [simplify]: Extracting #4: cost 413 inf + 11213
1.238 * * [simplify]: Extracting #5: cost 244 inf + 95543
1.314 * * [simplify]: Extracting #6: cost 61 inf + 272872
1.411 * * [simplify]: Extracting #7: cost 0 inf + 311248
1.514 * * [simplify]: Extracting #8: cost 0 inf + 291395
1.639 * * [simplify]: Extracting #9: cost 0 inf + 291315
1.715 * [simplify]: Simplified to:
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
1.723 * * [progress]: iteration 1 / 4
1.723 * * * [progress]: picking best candidate
1.729 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))>
1.729 * * * [progress]: localizing error
1.778 * * * [progress]: generating rewritten candidates
1.778 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.802 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.814 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1.827 * * * [progress]: generating series expansions
1.827 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1.828 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1.828 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1.828 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1.828 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1.828 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1.828 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1.828 * [taylor]: Taking taylor expansion of 1/2 in k
1.828 * [backup-simplify]: Simplify 1/2 into 1/2
1.828 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.828 * [taylor]: Taking taylor expansion of 1 in k
1.828 * [backup-simplify]: Simplify 1 into 1
1.828 * [taylor]: Taking taylor expansion of k in k
1.828 * [backup-simplify]: Simplify 0 into 0
1.828 * [backup-simplify]: Simplify 1 into 1
1.828 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.828 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.828 * [taylor]: Taking taylor expansion of 2 in k
1.828 * [backup-simplify]: Simplify 2 into 2
1.828 * [taylor]: Taking taylor expansion of (* n PI) in k
1.828 * [taylor]: Taking taylor expansion of n in k
1.828 * [backup-simplify]: Simplify n into n
1.828 * [taylor]: Taking taylor expansion of PI in k
1.828 * [backup-simplify]: Simplify PI into PI
1.828 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.829 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.829 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.829 * [backup-simplify]: Simplify (- 0) into 0
1.829 * [backup-simplify]: Simplify (+ 1 0) into 1
1.830 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.830 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.830 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.830 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.830 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.830 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.830 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.830 * [taylor]: Taking taylor expansion of 1/2 in n
1.830 * [backup-simplify]: Simplify 1/2 into 1/2
1.830 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.830 * [taylor]: Taking taylor expansion of 1 in n
1.830 * [backup-simplify]: Simplify 1 into 1
1.830 * [taylor]: Taking taylor expansion of k in n
1.830 * [backup-simplify]: Simplify k into k
1.830 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.831 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.831 * [taylor]: Taking taylor expansion of 2 in n
1.831 * [backup-simplify]: Simplify 2 into 2
1.831 * [taylor]: Taking taylor expansion of (* n PI) in n
1.831 * [taylor]: Taking taylor expansion of n in n
1.831 * [backup-simplify]: Simplify 0 into 0
1.831 * [backup-simplify]: Simplify 1 into 1
1.831 * [taylor]: Taking taylor expansion of PI in n
1.831 * [backup-simplify]: Simplify PI into PI
1.831 * [backup-simplify]: Simplify (* 0 PI) into 0
1.832 * [backup-simplify]: Simplify (* 2 0) into 0
1.833 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.835 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.836 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.836 * [backup-simplify]: Simplify (- k) into (- k)
1.836 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.836 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.837 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.838 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.840 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.840 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.840 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.840 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.840 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.840 * [taylor]: Taking taylor expansion of 1/2 in n
1.840 * [backup-simplify]: Simplify 1/2 into 1/2
1.840 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.840 * [taylor]: Taking taylor expansion of 1 in n
1.840 * [backup-simplify]: Simplify 1 into 1
1.840 * [taylor]: Taking taylor expansion of k in n
1.840 * [backup-simplify]: Simplify k into k
1.840 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.840 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.840 * [taylor]: Taking taylor expansion of 2 in n
1.840 * [backup-simplify]: Simplify 2 into 2
1.840 * [taylor]: Taking taylor expansion of (* n PI) in n
1.840 * [taylor]: Taking taylor expansion of n in n
1.840 * [backup-simplify]: Simplify 0 into 0
1.840 * [backup-simplify]: Simplify 1 into 1
1.840 * [taylor]: Taking taylor expansion of PI in n
1.840 * [backup-simplify]: Simplify PI into PI
1.840 * [backup-simplify]: Simplify (* 0 PI) into 0
1.841 * [backup-simplify]: Simplify (* 2 0) into 0
1.842 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.844 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.845 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.845 * [backup-simplify]: Simplify (- k) into (- k)
1.845 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.845 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.847 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.848 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.849 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.849 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1.849 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1.849 * [taylor]: Taking taylor expansion of 1/2 in k
1.849 * [backup-simplify]: Simplify 1/2 into 1/2
1.849 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1.849 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.849 * [taylor]: Taking taylor expansion of 1 in k
1.849 * [backup-simplify]: Simplify 1 into 1
1.849 * [taylor]: Taking taylor expansion of k in k
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify 1 into 1
1.849 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1.849 * [taylor]: Taking taylor expansion of (log n) in k
1.849 * [taylor]: Taking taylor expansion of n in k
1.849 * [backup-simplify]: Simplify n into n
1.849 * [backup-simplify]: Simplify (log n) into (log n)
1.849 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.849 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.849 * [taylor]: Taking taylor expansion of 2 in k
1.849 * [backup-simplify]: Simplify 2 into 2
1.849 * [taylor]: Taking taylor expansion of PI in k
1.850 * [backup-simplify]: Simplify PI into PI
1.850 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.851 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.851 * [backup-simplify]: Simplify (- 0) into 0
1.852 * [backup-simplify]: Simplify (+ 1 0) into 1
1.853 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.855 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1.856 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1.857 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.858 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.863 * [backup-simplify]: Simplify (- 0) into 0
1.863 * [backup-simplify]: Simplify (+ 0 0) into 0
1.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1.865 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.866 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1.868 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.868 * [taylor]: Taking taylor expansion of 0 in k
1.868 * [backup-simplify]: Simplify 0 into 0
1.868 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1.870 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.872 * [backup-simplify]: Simplify (+ 0 0) into 0
1.873 * [backup-simplify]: Simplify (- 1) into -1
1.873 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.875 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1.877 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1.880 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.883 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.894 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.895 * [backup-simplify]: Simplify (- 0) into 0
1.895 * [backup-simplify]: Simplify (+ 0 0) into 0
1.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1.898 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.900 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.902 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.902 * [taylor]: Taking taylor expansion of 0 in k
1.902 * [backup-simplify]: Simplify 0 into 0
1.902 * [backup-simplify]: Simplify 0 into 0
1.902 * [backup-simplify]: Simplify 0 into 0
1.904 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.909 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.910 * [backup-simplify]: Simplify (+ 0 0) into 0
1.910 * [backup-simplify]: Simplify (- 0) into 0
1.910 * [backup-simplify]: Simplify (+ 0 0) into 0
1.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.917 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1.920 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1.926 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1.927 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1.927 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1.927 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1.927 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1.927 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1.927 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1.927 * [taylor]: Taking taylor expansion of 1/2 in k
1.927 * [backup-simplify]: Simplify 1/2 into 1/2
1.927 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.927 * [taylor]: Taking taylor expansion of 1 in k
1.927 * [backup-simplify]: Simplify 1 into 1
1.927 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.927 * [taylor]: Taking taylor expansion of k in k
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 1 into 1
1.927 * [backup-simplify]: Simplify (/ 1 1) into 1
1.927 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1.927 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1.927 * [taylor]: Taking taylor expansion of 2 in k
1.927 * [backup-simplify]: Simplify 2 into 2
1.927 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.927 * [taylor]: Taking taylor expansion of PI in k
1.927 * [backup-simplify]: Simplify PI into PI
1.927 * [taylor]: Taking taylor expansion of n in k
1.927 * [backup-simplify]: Simplify n into n
1.927 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.927 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1.928 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1.928 * [backup-simplify]: Simplify (- 1) into -1
1.928 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.929 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1.929 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1.929 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1.929 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.929 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.929 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.929 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.929 * [taylor]: Taking taylor expansion of 1/2 in n
1.929 * [backup-simplify]: Simplify 1/2 into 1/2
1.929 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.929 * [taylor]: Taking taylor expansion of 1 in n
1.929 * [backup-simplify]: Simplify 1 into 1
1.929 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.929 * [taylor]: Taking taylor expansion of k in n
1.929 * [backup-simplify]: Simplify k into k
1.929 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.929 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.929 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.929 * [taylor]: Taking taylor expansion of 2 in n
1.929 * [backup-simplify]: Simplify 2 into 2
1.929 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.929 * [taylor]: Taking taylor expansion of PI in n
1.929 * [backup-simplify]: Simplify PI into PI
1.929 * [taylor]: Taking taylor expansion of n in n
1.929 * [backup-simplify]: Simplify 0 into 0
1.929 * [backup-simplify]: Simplify 1 into 1
1.930 * [backup-simplify]: Simplify (/ PI 1) into PI
1.930 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.931 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.931 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.931 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.931 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.932 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.933 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.934 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.934 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.934 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.934 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.934 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.934 * [taylor]: Taking taylor expansion of 1/2 in n
1.934 * [backup-simplify]: Simplify 1/2 into 1/2
1.934 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.934 * [taylor]: Taking taylor expansion of 1 in n
1.934 * [backup-simplify]: Simplify 1 into 1
1.934 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.934 * [taylor]: Taking taylor expansion of k in n
1.934 * [backup-simplify]: Simplify k into k
1.934 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.934 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.934 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.934 * [taylor]: Taking taylor expansion of 2 in n
1.934 * [backup-simplify]: Simplify 2 into 2
1.934 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.934 * [taylor]: Taking taylor expansion of PI in n
1.934 * [backup-simplify]: Simplify PI into PI
1.934 * [taylor]: Taking taylor expansion of n in n
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify 1 into 1
1.934 * [backup-simplify]: Simplify (/ PI 1) into PI
1.934 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.935 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.935 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.935 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.935 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.937 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.938 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.938 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1.938 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1.938 * [taylor]: Taking taylor expansion of 1/2 in k
1.938 * [backup-simplify]: Simplify 1/2 into 1/2
1.938 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1.938 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.938 * [taylor]: Taking taylor expansion of 1 in k
1.938 * [backup-simplify]: Simplify 1 into 1
1.938 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.938 * [taylor]: Taking taylor expansion of k in k
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [backup-simplify]: Simplify 1 into 1
1.938 * [backup-simplify]: Simplify (/ 1 1) into 1
1.938 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1.938 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.938 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.938 * [taylor]: Taking taylor expansion of 2 in k
1.938 * [backup-simplify]: Simplify 2 into 2
1.938 * [taylor]: Taking taylor expansion of PI in k
1.938 * [backup-simplify]: Simplify PI into PI
1.939 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.939 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.939 * [taylor]: Taking taylor expansion of (log n) in k
1.939 * [taylor]: Taking taylor expansion of n in k
1.939 * [backup-simplify]: Simplify n into n
1.939 * [backup-simplify]: Simplify (log n) into (log n)
1.939 * [backup-simplify]: Simplify (- 1) into -1
1.940 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.940 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.940 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1.941 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1.942 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1.942 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.943 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.945 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.946 * [backup-simplify]: Simplify (- 0) into 0
1.946 * [backup-simplify]: Simplify (+ 0 0) into 0
1.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1.947 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.948 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1.949 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.949 * [taylor]: Taking taylor expansion of 0 in k
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.952 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.953 * [backup-simplify]: Simplify (- 0) into 0
1.953 * [backup-simplify]: Simplify (+ 0 0) into 0
1.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.957 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1.960 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.960 * [taylor]: Taking taylor expansion of 0 in k
1.960 * [backup-simplify]: Simplify 0 into 0
1.960 * [backup-simplify]: Simplify 0 into 0
1.960 * [backup-simplify]: Simplify 0 into 0
1.960 * [backup-simplify]: Simplify 0 into 0
1.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.962 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.965 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.966 * [backup-simplify]: Simplify (- 0) into 0
1.966 * [backup-simplify]: Simplify (+ 0 0) into 0
1.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1.968 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.969 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1.970 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.970 * [taylor]: Taking taylor expansion of 0 in k
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1.972 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1.972 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1.972 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1.972 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1.972 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1.972 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1.972 * [taylor]: Taking taylor expansion of 1/2 in k
1.972 * [backup-simplify]: Simplify 1/2 into 1/2
1.972 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.972 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.972 * [taylor]: Taking taylor expansion of k in k
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify 1 into 1
1.972 * [backup-simplify]: Simplify (/ 1 1) into 1
1.972 * [taylor]: Taking taylor expansion of 1 in k
1.972 * [backup-simplify]: Simplify 1 into 1
1.972 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1.972 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1.972 * [taylor]: Taking taylor expansion of -2 in k
1.972 * [backup-simplify]: Simplify -2 into -2
1.972 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.972 * [taylor]: Taking taylor expansion of PI in k
1.972 * [backup-simplify]: Simplify PI into PI
1.972 * [taylor]: Taking taylor expansion of n in k
1.972 * [backup-simplify]: Simplify n into n
1.972 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.972 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1.972 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1.973 * [backup-simplify]: Simplify (+ 1 0) into 1
1.973 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.973 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1.974 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1.974 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.974 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.974 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.974 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.974 * [taylor]: Taking taylor expansion of 1/2 in n
1.974 * [backup-simplify]: Simplify 1/2 into 1/2
1.974 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.974 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.974 * [taylor]: Taking taylor expansion of k in n
1.974 * [backup-simplify]: Simplify k into k
1.974 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.974 * [taylor]: Taking taylor expansion of 1 in n
1.974 * [backup-simplify]: Simplify 1 into 1
1.974 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.974 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.974 * [taylor]: Taking taylor expansion of -2 in n
1.974 * [backup-simplify]: Simplify -2 into -2
1.974 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.974 * [taylor]: Taking taylor expansion of PI in n
1.974 * [backup-simplify]: Simplify PI into PI
1.974 * [taylor]: Taking taylor expansion of n in n
1.974 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify 1 into 1
1.974 * [backup-simplify]: Simplify (/ PI 1) into PI
1.975 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.975 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.975 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.975 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.976 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.977 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.978 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1.978 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.978 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.978 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.978 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.978 * [taylor]: Taking taylor expansion of 1/2 in n
1.978 * [backup-simplify]: Simplify 1/2 into 1/2
1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.978 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.978 * [taylor]: Taking taylor expansion of k in n
1.978 * [backup-simplify]: Simplify k into k
1.978 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.978 * [taylor]: Taking taylor expansion of 1 in n
1.978 * [backup-simplify]: Simplify 1 into 1
1.978 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.978 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.978 * [taylor]: Taking taylor expansion of -2 in n
1.978 * [backup-simplify]: Simplify -2 into -2
1.978 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.978 * [taylor]: Taking taylor expansion of PI in n
1.978 * [backup-simplify]: Simplify PI into PI
1.978 * [taylor]: Taking taylor expansion of n in n
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 1 into 1
1.979 * [backup-simplify]: Simplify (/ PI 1) into PI
1.979 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.979 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.980 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.980 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.981 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.982 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1.982 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1.982 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1.982 * [taylor]: Taking taylor expansion of 1/2 in k
1.982 * [backup-simplify]: Simplify 1/2 into 1/2
1.982 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1.982 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.982 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.982 * [taylor]: Taking taylor expansion of k in k
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify 1 into 1
1.982 * [backup-simplify]: Simplify (/ 1 1) into 1
1.982 * [taylor]: Taking taylor expansion of 1 in k
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1.983 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1.983 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1.983 * [taylor]: Taking taylor expansion of -2 in k
1.983 * [backup-simplify]: Simplify -2 into -2
1.983 * [taylor]: Taking taylor expansion of PI in k
1.983 * [backup-simplify]: Simplify PI into PI
1.983 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.984 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.984 * [taylor]: Taking taylor expansion of (log n) in k
1.984 * [taylor]: Taking taylor expansion of n in k
1.984 * [backup-simplify]: Simplify n into n
1.984 * [backup-simplify]: Simplify (log n) into (log n)
1.984 * [backup-simplify]: Simplify (+ 1 0) into 1
1.984 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.985 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1.986 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1.986 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1.987 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1.988 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.989 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.990 * [backup-simplify]: Simplify (+ 0 0) into 0
1.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1.992 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.994 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1.996 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.996 * [taylor]: Taking taylor expansion of 0 in k
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 0 into 0
2.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.004 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.006 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
2.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.006 * [backup-simplify]: Simplify (+ 0 0) into 0
2.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
2.008 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.009 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.010 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.010 * [taylor]: Taking taylor expansion of 0 in k
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.012 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.015 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
2.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.016 * [backup-simplify]: Simplify (+ 0 0) into 0
2.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
2.017 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.018 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
2.020 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.020 * [taylor]: Taking taylor expansion of 0 in k
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
2.021 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
2.021 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
2.021 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
2.021 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.021 * [taylor]: Taking taylor expansion of 2 in n
2.021 * [backup-simplify]: Simplify 2 into 2
2.021 * [taylor]: Taking taylor expansion of (* n PI) in n
2.021 * [taylor]: Taking taylor expansion of n in n
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify 1 into 1
2.021 * [taylor]: Taking taylor expansion of PI in n
2.021 * [backup-simplify]: Simplify PI into PI
2.022 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.022 * [taylor]: Taking taylor expansion of 2 in n
2.022 * [backup-simplify]: Simplify 2 into 2
2.022 * [taylor]: Taking taylor expansion of (* n PI) in n
2.022 * [taylor]: Taking taylor expansion of n in n
2.022 * [backup-simplify]: Simplify 0 into 0
2.022 * [backup-simplify]: Simplify 1 into 1
2.022 * [taylor]: Taking taylor expansion of PI in n
2.022 * [backup-simplify]: Simplify PI into PI
2.022 * [backup-simplify]: Simplify (* 0 PI) into 0
2.022 * [backup-simplify]: Simplify (* 2 0) into 0
2.022 * [backup-simplify]: Simplify 0 into 0
2.023 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.024 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.024 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.027 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.027 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.029 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.032 * [backup-simplify]: Simplify 0 into 0
2.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.035 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.035 * [backup-simplify]: Simplify 0 into 0
2.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.039 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
2.041 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
2.041 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
2.041 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.041 * [taylor]: Taking taylor expansion of 2 in n
2.041 * [backup-simplify]: Simplify 2 into 2
2.041 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.041 * [taylor]: Taking taylor expansion of PI in n
2.041 * [backup-simplify]: Simplify PI into PI
2.041 * [taylor]: Taking taylor expansion of n in n
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify 1 into 1
2.041 * [backup-simplify]: Simplify (/ PI 1) into PI
2.042 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.042 * [taylor]: Taking taylor expansion of 2 in n
2.042 * [backup-simplify]: Simplify 2 into 2
2.042 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.042 * [taylor]: Taking taylor expansion of PI in n
2.042 * [backup-simplify]: Simplify PI into PI
2.042 * [taylor]: Taking taylor expansion of n in n
2.042 * [backup-simplify]: Simplify 0 into 0
2.042 * [backup-simplify]: Simplify 1 into 1
2.042 * [backup-simplify]: Simplify (/ PI 1) into PI
2.043 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.043 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.045 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.045 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.050 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.050 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.052 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.052 * [backup-simplify]: Simplify 0 into 0
2.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.055 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.058 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.058 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
2.059 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
2.059 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
2.060 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.060 * [taylor]: Taking taylor expansion of -2 in n
2.060 * [backup-simplify]: Simplify -2 into -2
2.060 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.060 * [taylor]: Taking taylor expansion of PI in n
2.060 * [backup-simplify]: Simplify PI into PI
2.060 * [taylor]: Taking taylor expansion of n in n
2.060 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify 1 into 1
2.060 * [backup-simplify]: Simplify (/ PI 1) into PI
2.060 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.060 * [taylor]: Taking taylor expansion of -2 in n
2.060 * [backup-simplify]: Simplify -2 into -2
2.060 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.060 * [taylor]: Taking taylor expansion of PI in n
2.060 * [backup-simplify]: Simplify PI into PI
2.060 * [taylor]: Taking taylor expansion of n in n
2.060 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify 1 into 1
2.061 * [backup-simplify]: Simplify (/ PI 1) into PI
2.061 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.062 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.064 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.064 * [backup-simplify]: Simplify 0 into 0
2.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.066 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.066 * [backup-simplify]: Simplify 0 into 0
2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.069 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.069 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.071 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.071 * [backup-simplify]: Simplify 0 into 0
2.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.074 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.074 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.077 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.078 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
2.078 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.079 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
2.079 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
2.079 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
2.079 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
2.079 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
2.079 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
2.079 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
2.079 * [taylor]: Taking taylor expansion of 1/2 in k
2.079 * [backup-simplify]: Simplify 1/2 into 1/2
2.079 * [taylor]: Taking taylor expansion of (- 1 k) in k
2.079 * [taylor]: Taking taylor expansion of 1 in k
2.079 * [backup-simplify]: Simplify 1 into 1
2.079 * [taylor]: Taking taylor expansion of k in k
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify 1 into 1
2.079 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.079 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.079 * [taylor]: Taking taylor expansion of 2 in k
2.079 * [backup-simplify]: Simplify 2 into 2
2.079 * [taylor]: Taking taylor expansion of (* n PI) in k
2.079 * [taylor]: Taking taylor expansion of n in k
2.079 * [backup-simplify]: Simplify n into n
2.079 * [taylor]: Taking taylor expansion of PI in k
2.079 * [backup-simplify]: Simplify PI into PI
2.079 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.079 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.079 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.080 * [backup-simplify]: Simplify (- 0) into 0
2.080 * [backup-simplify]: Simplify (+ 1 0) into 1
2.081 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.081 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.081 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.081 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.081 * [taylor]: Taking taylor expansion of k in k
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [backup-simplify]: Simplify (/ 1 1) into 1
2.082 * [backup-simplify]: Simplify (sqrt 0) into 0
2.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.083 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
2.083 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
2.083 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
2.083 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
2.083 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
2.083 * [taylor]: Taking taylor expansion of 1/2 in n
2.083 * [backup-simplify]: Simplify 1/2 into 1/2
2.083 * [taylor]: Taking taylor expansion of (- 1 k) in n
2.083 * [taylor]: Taking taylor expansion of 1 in n
2.083 * [backup-simplify]: Simplify 1 into 1
2.083 * [taylor]: Taking taylor expansion of k in n
2.083 * [backup-simplify]: Simplify k into k
2.083 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.083 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.083 * [taylor]: Taking taylor expansion of 2 in n
2.083 * [backup-simplify]: Simplify 2 into 2
2.083 * [taylor]: Taking taylor expansion of (* n PI) in n
2.083 * [taylor]: Taking taylor expansion of n in n
2.083 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify 1 into 1
2.083 * [taylor]: Taking taylor expansion of PI in n
2.083 * [backup-simplify]: Simplify PI into PI
2.083 * [backup-simplify]: Simplify (* 0 PI) into 0
2.084 * [backup-simplify]: Simplify (* 2 0) into 0
2.085 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.086 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.086 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.086 * [backup-simplify]: Simplify (- k) into (- k)
2.086 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
2.086 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
2.087 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.088 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
2.089 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
2.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.089 * [taylor]: Taking taylor expansion of k in n
2.089 * [backup-simplify]: Simplify k into k
2.089 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.089 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.089 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
2.089 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
2.089 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
2.089 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
2.089 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
2.089 * [taylor]: Taking taylor expansion of 1/2 in n
2.089 * [backup-simplify]: Simplify 1/2 into 1/2
2.089 * [taylor]: Taking taylor expansion of (- 1 k) in n
2.089 * [taylor]: Taking taylor expansion of 1 in n
2.089 * [backup-simplify]: Simplify 1 into 1
2.089 * [taylor]: Taking taylor expansion of k in n
2.089 * [backup-simplify]: Simplify k into k
2.089 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.089 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.089 * [taylor]: Taking taylor expansion of 2 in n
2.089 * [backup-simplify]: Simplify 2 into 2
2.089 * [taylor]: Taking taylor expansion of (* n PI) in n
2.089 * [taylor]: Taking taylor expansion of n in n
2.089 * [backup-simplify]: Simplify 0 into 0
2.089 * [backup-simplify]: Simplify 1 into 1
2.089 * [taylor]: Taking taylor expansion of PI in n
2.089 * [backup-simplify]: Simplify PI into PI
2.089 * [backup-simplify]: Simplify (* 0 PI) into 0
2.090 * [backup-simplify]: Simplify (* 2 0) into 0
2.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.092 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.092 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.092 * [backup-simplify]: Simplify (- k) into (- k)
2.092 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
2.092 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
2.093 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.094 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
2.094 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
2.094 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.094 * [taylor]: Taking taylor expansion of k in n
2.094 * [backup-simplify]: Simplify k into k
2.095 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.095 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.095 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k)))
2.095 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
2.096 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
2.096 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
2.096 * [taylor]: Taking taylor expansion of 1/2 in k
2.096 * [backup-simplify]: Simplify 1/2 into 1/2
2.096 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
2.096 * [taylor]: Taking taylor expansion of (- 1 k) in k
2.096 * [taylor]: Taking taylor expansion of 1 in k
2.096 * [backup-simplify]: Simplify 1 into 1
2.096 * [taylor]: Taking taylor expansion of k in k
2.096 * [backup-simplify]: Simplify 0 into 0
2.096 * [backup-simplify]: Simplify 1 into 1
2.096 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.096 * [taylor]: Taking taylor expansion of (log n) in k
2.096 * [taylor]: Taking taylor expansion of n in k
2.096 * [backup-simplify]: Simplify n into n
2.096 * [backup-simplify]: Simplify (log n) into (log n)
2.096 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.096 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.096 * [taylor]: Taking taylor expansion of 2 in k
2.096 * [backup-simplify]: Simplify 2 into 2
2.096 * [taylor]: Taking taylor expansion of PI in k
2.096 * [backup-simplify]: Simplify PI into PI
2.096 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.097 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.098 * [backup-simplify]: Simplify (- 0) into 0
2.098 * [backup-simplify]: Simplify (+ 1 0) into 1
2.099 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.100 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
2.102 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.103 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.103 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.103 * [taylor]: Taking taylor expansion of k in k
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify 1 into 1
2.103 * [backup-simplify]: Simplify (/ 1 1) into 1
2.104 * [backup-simplify]: Simplify (sqrt 0) into 0
2.105 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.107 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.109 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.111 * [backup-simplify]: Simplify (- 0) into 0
2.112 * [backup-simplify]: Simplify (+ 0 0) into 0
2.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
2.114 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.115 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.117 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.119 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
2.119 * [taylor]: Taking taylor expansion of 0 in k
2.119 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.121 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.123 * [backup-simplify]: Simplify (+ 0 0) into 0
2.123 * [backup-simplify]: Simplify (- 1) into -1
2.124 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.132 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
2.134 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
2.137 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.141 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.142 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.143 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
2.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.148 * [backup-simplify]: Simplify (- 0) into 0
2.148 * [backup-simplify]: Simplify (+ 0 0) into 0
2.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
2.149 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.150 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.152 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.153 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
2.153 * [taylor]: Taking taylor expansion of 0 in k
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.155 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.157 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.159 * [backup-simplify]: Simplify (+ 0 0) into 0
2.159 * [backup-simplify]: Simplify (- 0) into 0
2.160 * [backup-simplify]: Simplify (+ 0 0) into 0
2.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.165 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.170 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.173 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
2.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.177 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.182 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.183 * [backup-simplify]: Simplify (- 0) into 0
2.183 * [backup-simplify]: Simplify (+ 0 0) into 0
2.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
2.186 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.188 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.191 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.193 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
2.193 * [taylor]: Taking taylor expansion of 0 in k
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 0 into 0
2.194 * [backup-simplify]: Simplify 0 into 0
2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.201 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
2.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.208 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.208 * [backup-simplify]: Simplify (+ 0 0) into 0
2.209 * [backup-simplify]: Simplify (- 0) into 0
2.209 * [backup-simplify]: Simplify (+ 0 0) into 0
2.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.220 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.232 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.243 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.254 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
2.255 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
2.255 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
2.255 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
2.255 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
2.255 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.255 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.255 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
2.255 * [taylor]: Taking taylor expansion of 1/2 in k
2.255 * [backup-simplify]: Simplify 1/2 into 1/2
2.255 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
2.255 * [taylor]: Taking taylor expansion of 1 in k
2.255 * [backup-simplify]: Simplify 1 into 1
2.255 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.255 * [taylor]: Taking taylor expansion of k in k
2.255 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify 1 into 1
2.255 * [backup-simplify]: Simplify (/ 1 1) into 1
2.255 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.255 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.255 * [taylor]: Taking taylor expansion of 2 in k
2.255 * [backup-simplify]: Simplify 2 into 2
2.255 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.255 * [taylor]: Taking taylor expansion of PI in k
2.255 * [backup-simplify]: Simplify PI into PI
2.255 * [taylor]: Taking taylor expansion of n in k
2.255 * [backup-simplify]: Simplify n into n
2.255 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.255 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.255 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.256 * [backup-simplify]: Simplify (- 1) into -1
2.256 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.256 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
2.256 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.256 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
2.256 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.256 * [taylor]: Taking taylor expansion of k in k
2.256 * [backup-simplify]: Simplify 0 into 0
2.256 * [backup-simplify]: Simplify 1 into 1
2.257 * [backup-simplify]: Simplify (sqrt 0) into 0
2.258 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.258 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
2.258 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
2.258 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.258 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.258 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
2.258 * [taylor]: Taking taylor expansion of 1/2 in n
2.258 * [backup-simplify]: Simplify 1/2 into 1/2
2.258 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
2.258 * [taylor]: Taking taylor expansion of 1 in n
2.258 * [backup-simplify]: Simplify 1 into 1
2.258 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.258 * [taylor]: Taking taylor expansion of k in n
2.258 * [backup-simplify]: Simplify k into k
2.258 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.258 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.258 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.258 * [taylor]: Taking taylor expansion of 2 in n
2.258 * [backup-simplify]: Simplify 2 into 2
2.258 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.258 * [taylor]: Taking taylor expansion of PI in n
2.258 * [backup-simplify]: Simplify PI into PI
2.258 * [taylor]: Taking taylor expansion of n in n
2.258 * [backup-simplify]: Simplify 0 into 0
2.258 * [backup-simplify]: Simplify 1 into 1
2.258 * [backup-simplify]: Simplify (/ PI 1) into PI
2.259 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.259 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.259 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.259 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
2.259 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
2.260 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.261 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
2.262 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
2.262 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.262 * [taylor]: Taking taylor expansion of k in n
2.262 * [backup-simplify]: Simplify k into k
2.262 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.262 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
2.262 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
2.262 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.262 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.262 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
2.262 * [taylor]: Taking taylor expansion of 1/2 in n
2.262 * [backup-simplify]: Simplify 1/2 into 1/2
2.262 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
2.262 * [taylor]: Taking taylor expansion of 1 in n
2.262 * [backup-simplify]: Simplify 1 into 1
2.262 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.262 * [taylor]: Taking taylor expansion of k in n
2.262 * [backup-simplify]: Simplify k into k
2.262 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.262 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.262 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.262 * [taylor]: Taking taylor expansion of 2 in n
2.262 * [backup-simplify]: Simplify 2 into 2
2.262 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.262 * [taylor]: Taking taylor expansion of PI in n
2.262 * [backup-simplify]: Simplify PI into PI
2.262 * [taylor]: Taking taylor expansion of n in n
2.262 * [backup-simplify]: Simplify 0 into 0
2.262 * [backup-simplify]: Simplify 1 into 1
2.262 * [backup-simplify]: Simplify (/ PI 1) into PI
2.263 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.263 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.263 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.263 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
2.263 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
2.264 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.265 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
2.266 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
2.266 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.266 * [taylor]: Taking taylor expansion of k in n
2.266 * [backup-simplify]: Simplify k into k
2.266 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.267 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k))
2.267 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
2.267 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
2.267 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
2.267 * [taylor]: Taking taylor expansion of 1/2 in k
2.267 * [backup-simplify]: Simplify 1/2 into 1/2
2.267 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
2.267 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
2.267 * [taylor]: Taking taylor expansion of 1 in k
2.267 * [backup-simplify]: Simplify 1 into 1
2.267 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.267 * [taylor]: Taking taylor expansion of k in k
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 1 into 1
2.267 * [backup-simplify]: Simplify (/ 1 1) into 1
2.267 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.267 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.267 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.267 * [taylor]: Taking taylor expansion of 2 in k
2.267 * [backup-simplify]: Simplify 2 into 2
2.267 * [taylor]: Taking taylor expansion of PI in k
2.267 * [backup-simplify]: Simplify PI into PI
2.268 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.268 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.268 * [taylor]: Taking taylor expansion of (log n) in k
2.268 * [taylor]: Taking taylor expansion of n in k
2.268 * [backup-simplify]: Simplify n into n
2.268 * [backup-simplify]: Simplify (log n) into (log n)
2.268 * [backup-simplify]: Simplify (- 1) into -1
2.269 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.269 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.269 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.270 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
2.271 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.271 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
2.271 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.271 * [taylor]: Taking taylor expansion of k in k
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify 1 into 1
2.272 * [backup-simplify]: Simplify (sqrt 0) into 0
2.272 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.273 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
2.273 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.274 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.276 * [backup-simplify]: Simplify (- 0) into 0
2.276 * [backup-simplify]: Simplify (+ 0 0) into 0
2.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
2.277 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.278 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.280 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.281 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
2.281 * [taylor]: Taking taylor expansion of 0 in k
2.281 * [backup-simplify]: Simplify 0 into 0
2.281 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.284 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.285 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.291 * [backup-simplify]: Simplify (- 0) into 0
2.291 * [backup-simplify]: Simplify (+ 0 0) into 0
2.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
2.293 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.295 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.297 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.299 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
2.299 * [taylor]: Taking taylor expansion of 0 in k
2.299 * [backup-simplify]: Simplify 0 into 0
2.299 * [backup-simplify]: Simplify 0 into 0
2.299 * [backup-simplify]: Simplify 0 into 0
2.302 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.304 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.305 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.308 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.314 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.314 * [backup-simplify]: Simplify (- 0) into 0
2.314 * [backup-simplify]: Simplify (+ 0 0) into 0
2.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
2.316 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.317 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.319 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.320 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
2.320 * [taylor]: Taking taylor expansion of 0 in k
2.320 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.324 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.325 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.328 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
2.328 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
2.328 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
2.328 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
2.328 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
2.328 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
2.328 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
2.328 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
2.328 * [taylor]: Taking taylor expansion of 1/2 in k
2.328 * [backup-simplify]: Simplify 1/2 into 1/2
2.328 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
2.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.329 * [taylor]: Taking taylor expansion of k in k
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify 1 into 1
2.329 * [backup-simplify]: Simplify (/ 1 1) into 1
2.329 * [taylor]: Taking taylor expansion of 1 in k
2.329 * [backup-simplify]: Simplify 1 into 1
2.329 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.329 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.329 * [taylor]: Taking taylor expansion of -2 in k
2.329 * [backup-simplify]: Simplify -2 into -2
2.329 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.329 * [taylor]: Taking taylor expansion of PI in k
2.329 * [backup-simplify]: Simplify PI into PI
2.329 * [taylor]: Taking taylor expansion of n in k
2.329 * [backup-simplify]: Simplify n into n
2.329 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.329 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.329 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.330 * [backup-simplify]: Simplify (+ 1 0) into 1
2.330 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.330 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.330 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
2.330 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.330 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.330 * [taylor]: Taking taylor expansion of -1 in k
2.330 * [backup-simplify]: Simplify -1 into -1
2.330 * [taylor]: Taking taylor expansion of k in k
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify 1 into 1
2.330 * [backup-simplify]: Simplify (/ -1 1) into -1
2.331 * [backup-simplify]: Simplify (sqrt 0) into 0
2.332 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.332 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
2.332 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
2.332 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
2.332 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
2.332 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
2.332 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
2.332 * [taylor]: Taking taylor expansion of 1/2 in n
2.332 * [backup-simplify]: Simplify 1/2 into 1/2
2.332 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
2.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.332 * [taylor]: Taking taylor expansion of k in n
2.332 * [backup-simplify]: Simplify k into k
2.332 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.332 * [taylor]: Taking taylor expansion of 1 in n
2.332 * [backup-simplify]: Simplify 1 into 1
2.332 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.332 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.332 * [taylor]: Taking taylor expansion of -2 in n
2.332 * [backup-simplify]: Simplify -2 into -2
2.332 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.332 * [taylor]: Taking taylor expansion of PI in n
2.332 * [backup-simplify]: Simplify PI into PI
2.332 * [taylor]: Taking taylor expansion of n in n
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 1 into 1
2.332 * [backup-simplify]: Simplify (/ PI 1) into PI
2.333 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.333 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.333 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
2.333 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
2.334 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.335 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
2.336 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
2.336 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.336 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.336 * [taylor]: Taking taylor expansion of -1 in n
2.336 * [backup-simplify]: Simplify -1 into -1
2.336 * [taylor]: Taking taylor expansion of k in n
2.336 * [backup-simplify]: Simplify k into k
2.336 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.336 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.336 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.337 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
2.337 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
2.337 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
2.337 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
2.337 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
2.337 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
2.337 * [taylor]: Taking taylor expansion of 1/2 in n
2.337 * [backup-simplify]: Simplify 1/2 into 1/2
2.337 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
2.337 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.337 * [taylor]: Taking taylor expansion of k in n
2.337 * [backup-simplify]: Simplify k into k
2.337 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.337 * [taylor]: Taking taylor expansion of 1 in n
2.337 * [backup-simplify]: Simplify 1 into 1
2.337 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.337 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.337 * [taylor]: Taking taylor expansion of -2 in n
2.337 * [backup-simplify]: Simplify -2 into -2
2.337 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.337 * [taylor]: Taking taylor expansion of PI in n
2.337 * [backup-simplify]: Simplify PI into PI
2.337 * [taylor]: Taking taylor expansion of n in n
2.337 * [backup-simplify]: Simplify 0 into 0
2.337 * [backup-simplify]: Simplify 1 into 1
2.337 * [backup-simplify]: Simplify (/ PI 1) into PI
2.338 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.338 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.338 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
2.338 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
2.343 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.344 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
2.345 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
2.345 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.345 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.345 * [taylor]: Taking taylor expansion of -1 in n
2.345 * [backup-simplify]: Simplify -1 into -1
2.345 * [taylor]: Taking taylor expansion of k in n
2.345 * [backup-simplify]: Simplify k into k
2.345 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.345 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.345 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.346 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
2.346 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
2.346 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
2.346 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
2.346 * [taylor]: Taking taylor expansion of 1/2 in k
2.346 * [backup-simplify]: Simplify 1/2 into 1/2
2.346 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
2.346 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
2.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.346 * [taylor]: Taking taylor expansion of k in k
2.346 * [backup-simplify]: Simplify 0 into 0
2.346 * [backup-simplify]: Simplify 1 into 1
2.346 * [backup-simplify]: Simplify (/ 1 1) into 1
2.346 * [taylor]: Taking taylor expansion of 1 in k
2.346 * [backup-simplify]: Simplify 1 into 1
2.346 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.346 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.346 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.346 * [taylor]: Taking taylor expansion of -2 in k
2.346 * [backup-simplify]: Simplify -2 into -2
2.346 * [taylor]: Taking taylor expansion of PI in k
2.346 * [backup-simplify]: Simplify PI into PI
2.347 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.347 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.347 * [taylor]: Taking taylor expansion of (log n) in k
2.347 * [taylor]: Taking taylor expansion of n in k
2.347 * [backup-simplify]: Simplify n into n
2.347 * [backup-simplify]: Simplify (log n) into (log n)
2.348 * [backup-simplify]: Simplify (+ 1 0) into 1
2.348 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.348 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.349 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
2.350 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.350 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
2.350 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.350 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.350 * [taylor]: Taking taylor expansion of -1 in k
2.350 * [backup-simplify]: Simplify -1 into -1
2.350 * [taylor]: Taking taylor expansion of k in k
2.350 * [backup-simplify]: Simplify 0 into 0
2.350 * [backup-simplify]: Simplify 1 into 1
2.351 * [backup-simplify]: Simplify (/ -1 1) into -1
2.351 * [backup-simplify]: Simplify (sqrt 0) into 0
2.352 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.353 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
2.353 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
2.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.354 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.355 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.356 * [backup-simplify]: Simplify (+ 0 0) into 0
2.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
2.357 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.358 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.359 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.360 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
2.360 * [taylor]: Taking taylor expansion of 0 in k
2.360 * [backup-simplify]: Simplify 0 into 0
2.360 * [backup-simplify]: Simplify 0 into 0
2.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.362 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.363 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
2.364 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
2.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.365 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
2.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.369 * [backup-simplify]: Simplify (+ 0 0) into 0
2.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
2.371 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.373 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.375 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.375 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.376 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
2.377 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
2.378 * [taylor]: Taking taylor expansion of 0 in k
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.387 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
2.388 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
2.392 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
2.392 * * * [progress]: simplifying candidates
2.392 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.392 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.392 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.392 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.392 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.393 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.393 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.393 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
2.393 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))>
2.393 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
2.393 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))>
2.393 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))>
2.393 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k)))>
2.393 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))>
2.393 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))>
2.393 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))>
2.393 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.393 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.393 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.394 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k)))>
2.394 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k)))>
2.394 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))>
2.394 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))>
2.394 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))>
2.394 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>
2.394 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.394 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.394 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.394 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.394 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (sqrt k)))>
2.394 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))>
2.394 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
2.394 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.394 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.394 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.395 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.395 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.395 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))>
2.395 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
2.395 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.395 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.395 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.395 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.395 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.395 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.395 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.395 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.395 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.395 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.395 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.395 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.396 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.396 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
2.396 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))>
2.396 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
2.396 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
2.396 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
2.396 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.396 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))>
2.396 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 1))>
2.396 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.396 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.396 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.396 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.396 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))))>
2.396 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.396 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.396 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
2.397 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.397 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.397 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.397 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k))))>
2.397 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
2.397 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
2.397 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.397 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
2.397 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.397 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
2.397 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
2.397 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
2.397 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.397 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
2.397 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.398 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
2.398 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
2.398 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
2.398 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.398 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
2.398 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.398 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
2.398 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
2.398 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
2.398 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.398 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
2.398 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.398 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
2.398 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))>
2.398 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))>
2.399 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
2.399 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
2.399 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
2.399 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
2.399 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
2.399 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
2.399 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
2.399 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
2.399 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
2.399 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.399 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))>
2.399 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.399 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
2.399 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
2.399 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
2.399 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
2.400 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
2.400 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
2.400 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
2.400 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.400 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
2.400 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
2.400 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
2.400 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
2.400 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
2.400 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
2.400 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
2.400 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
2.400 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
2.403 * [simplify]: Simplifying:
  (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
  (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
  (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* n (* 2 PI)) (/ 1 2))
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (- 1 k))
  (pow n (/ (- 1 k) 2))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (log (* 2 PI)))
  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))
  (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (- (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (- (sqrt k))
  (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt 1))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) 1)
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1))
  (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1)
  (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1)
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1)
  (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))
  (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))
  (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
2.408 * * [simplify]: iteration 1: (287 enodes)
2.531 * * [simplify]: iteration 2: (1246 enodes)
2.895 * * [simplify]: Extracting #0: cost 107 inf + 0
2.896 * * [simplify]: Extracting #1: cost 556 inf + 1
2.902 * * [simplify]: Extracting #2: cost 892 inf + 9942
2.913 * * [simplify]: Extracting #3: cost 874 inf + 63860
2.958 * * [simplify]: Extracting #4: cost 492 inf + 237968
3.054 * * [simplify]: Extracting #5: cost 199 inf + 393552
3.131 * * [simplify]: Extracting #6: cost 126 inf + 442818
3.235 * * [simplify]: Extracting #7: cost 44 inf + 488935
3.363 * * [simplify]: Extracting #8: cost 8 inf + 523543
3.493 * * [simplify]: Extracting #9: cost 0 inf + 534191
3.628 * * [simplify]: Extracting #10: cost 0 inf + 533551
3.747 * [simplify]: Simplified to:
  (/ (log (* (* n 2) PI)) (/ 2 (- 1 k)))
  (/ (log (* (* n 2) PI)) (/ 2 (- 1 k)))
  (/ (log (* (* n 2) PI)) (/ 2 (- 1 k)))
  (/ (log (* (* n 2) PI)) (/ 2 (- 1 k)))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (pow (* (* n 2) PI) (/ 1 2))
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* n 2) PI) (sqrt (/ (- 1 k) 2)))
  (pow (* (* n 2) PI) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* n 2) PI) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k))))
  (pow (* (* n 2) PI) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* n 2) PI) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* n 2) PI) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* n 2) PI) (sqrt (- 1 k)))
  (pow (* (* n 2) PI) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ 1 (sqrt 2)))
  (* (* n 2) PI)
  (pow (* (* n 2) PI) (/ (/ (+ (sqrt k) (sqrt 1)) (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ (+ (sqrt k) (sqrt 1)) (sqrt 2)))
  (pow (* (* n 2) PI) (+ (sqrt k) (sqrt 1)))
  (pow (* (* n 2) PI) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* n 2) PI) (+ (sqrt k) 1))
  (pow (* (* n 2) PI) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ 1 (sqrt 2)))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (pow (* (* n 2) PI) (- 1 k))
  (pow n (/ (- 1 k) 2))
  (pow (* PI 2) (/ (- 1 k) 2))
  (/ (log (* (* n 2) PI)) (/ 2 (- 1 k)))
  (exp (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (pow (pow (* (* n 2) PI) (/ (- 1 k) 2)) 3)
  (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2))
  (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* n 2) PI) (* (* (* n 2) PI) (* (* n 2) PI)))
  (* (* (* n 2) PI) (* (* (* n 2) PI) (* (* n 2) PI)))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* n 2) PI) (* (* (* n 2) PI) (* (* n 2) PI)))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* n 2)
  (* (* PI 2) (cbrt n))
  (* (* PI 2) (sqrt n))
  (* (* n 2) PI)
  (real->posit16 (* (* n 2) PI))
  (- (/ (log (* (* n 2) PI)) (/ 2 (- 1 k))) (log (sqrt k)))
  (- (/ (log (* (* n 2) PI)) (/ 2 (- 1 k))) (log (sqrt k)))
  (- (/ (log (* (* n 2) PI)) (/ 2 (- 1 k))) (log (sqrt k)))
  (- (/ (log (* (* n 2) PI)) (/ 2 (- 1 k))) (log (sqrt k)))
  (- (/ (log (* (* n 2) PI)) (/ 2 (- 1 k))) (log (sqrt k)))
  (- (/ (log (* (* n 2) PI)) (/ 2 (- 1 k))) (log (sqrt k)))
  (exp (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (/ (pow (pow (* (* n 2) PI) (/ (- 1 k) 2)) 3) (* (sqrt k) k))
  (* (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (- (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (- (sqrt k))
  (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt 1))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow n (/ (- 1 k) 2))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
  (* (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (* (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (* (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (sqrt 1) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))
  (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))
  (* (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))
  (/ (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  1
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (fabs (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (sqrt 1))
  (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2))
  (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (fabs (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt 1))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow (* (* n 2) PI) (/ (- 1 k) 2))
  (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))
  (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))
  (real->posit16 (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (- (+ (+ (+ (* (* (* (* k k) (exp (* (log (* (* n 2) PI)) 1/2))) (log n)) (* (log (* PI 2)) 1/4)) (* (* (* (log n) k) (* (log n) k)) (* 1/8 (exp (* (log (* (* n 2) PI)) 1/2))))) (exp (* (log (* (* n 2) PI)) 1/2))) (* (* (* (log (* PI 2)) (log (* PI 2))) (* (* k k) (exp (* (log (* (* n 2) PI)) 1/2)))) 1/8)) (* 1/2 (+ (* (* k (exp (* (log (* (* n 2) PI)) 1/2))) (log (* PI 2))) (* (* k (exp (* (log (* (* n 2) PI)) 1/2))) (log n)))))
  (exp (* (* (- 1 k) (log (* (* n 2) PI))) 1/2))
  (exp (* (* (- 1 k) 1/2) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (- (* (* (log (* PI 2)) +nan.0) (* (* k k) (exp (* (log (* (* n 2) PI)) 1/2)))) (- (* (exp (* (log (* (* n 2) PI)) 1/2)) (* (* (* (log n) k) (* (log n) k)) +nan.0)) (+ (- (* (* (exp (* (log (* (* n 2) PI)) 1/2)) +nan.0) k) (* (exp (* (log (* (* n 2) PI)) 1/2)) +nan.0)) (+ (- (* (* (log (* PI 2)) (log (* PI 2))) (* (exp (* (log (* (* n 2) PI)) 1/2)) (* (* k k) +nan.0))) (* (* (exp (* (log (* (* n 2) PI)) 1/2)) +nan.0) (* (* (log n) k) k))) (- (* (exp (* (log (* (* n 2) PI)) 1/2)) (* (* k k) +nan.0)) (* +nan.0 (- (* (* k (exp (* (log (* (* n 2) PI)) 1/2))) (log (* PI 2))) (* (* k (exp (* (log (* (* n 2) PI)) 1/2))) (log n))))))))) (* (* (log (* PI 2)) +nan.0) (- (* (* (* k k) (exp (* (log (* (* n 2) PI)) 1/2))) (log n)))))
  (- (- (* (/ (exp (* (* (- 1 k) (log (* (* n 2) PI))) 1/2)) k) +nan.0) (* +nan.0 (- (/ (exp (* (* (- 1 k) (log (* (* n 2) PI))) 1/2)) (* k k)) (/ (exp (* (* (- 1 k) (log (* (* n 2) PI))) 1/2)) (* (* k k) k))))))
  (+ (* +nan.0 (- (/ (/ (exp (* (* (- 1 k) 1/2) (- (log (* -2 PI)) (log (/ -1 n))))) k) k) (exp (* (* (- 1 k) 1/2) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (/ (exp (* (* (- 1 k) 1/2) (- (log (* -2 PI)) (log (/ -1 n))))) (/ k +nan.0))))
3.765 * * * [progress]: adding candidates to table
5.411 * * [progress]: iteration 2 / 4
5.411 * * * [progress]: picking best candidate
5.479 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.480 * * * [progress]: localizing error
5.550 * * * [progress]: generating rewritten candidates
5.550 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
5.579 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
5.584 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
5.597 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
5.638 * * * [progress]: generating series expansions
5.638 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
5.639 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
5.639 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
5.639 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
5.639 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
5.639 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
5.639 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
5.639 * [taylor]: Taking taylor expansion of 1/2 in k
5.639 * [backup-simplify]: Simplify 1/2 into 1/2
5.639 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.639 * [taylor]: Taking taylor expansion of 1 in k
5.639 * [backup-simplify]: Simplify 1 into 1
5.639 * [taylor]: Taking taylor expansion of k in k
5.639 * [backup-simplify]: Simplify 0 into 0
5.639 * [backup-simplify]: Simplify 1 into 1
5.639 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.639 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.639 * [taylor]: Taking taylor expansion of 2 in k
5.639 * [backup-simplify]: Simplify 2 into 2
5.639 * [taylor]: Taking taylor expansion of (* n PI) in k
5.639 * [taylor]: Taking taylor expansion of n in k
5.639 * [backup-simplify]: Simplify n into n
5.639 * [taylor]: Taking taylor expansion of PI in k
5.639 * [backup-simplify]: Simplify PI into PI
5.639 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.639 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.639 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.639 * [backup-simplify]: Simplify (- 0) into 0
5.640 * [backup-simplify]: Simplify (+ 1 0) into 1
5.640 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.640 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.640 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.640 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
5.640 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
5.640 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
5.640 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
5.640 * [taylor]: Taking taylor expansion of 1/2 in n
5.640 * [backup-simplify]: Simplify 1/2 into 1/2
5.640 * [taylor]: Taking taylor expansion of (- 1 k) in n
5.640 * [taylor]: Taking taylor expansion of 1 in n
5.640 * [backup-simplify]: Simplify 1 into 1
5.640 * [taylor]: Taking taylor expansion of k in n
5.641 * [backup-simplify]: Simplify k into k
5.641 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.641 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.641 * [taylor]: Taking taylor expansion of 2 in n
5.641 * [backup-simplify]: Simplify 2 into 2
5.641 * [taylor]: Taking taylor expansion of (* n PI) in n
5.641 * [taylor]: Taking taylor expansion of n in n
5.641 * [backup-simplify]: Simplify 0 into 0
5.641 * [backup-simplify]: Simplify 1 into 1
5.641 * [taylor]: Taking taylor expansion of PI in n
5.641 * [backup-simplify]: Simplify PI into PI
5.641 * [backup-simplify]: Simplify (* 0 PI) into 0
5.641 * [backup-simplify]: Simplify (* 2 0) into 0
5.642 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.643 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.644 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.644 * [backup-simplify]: Simplify (- k) into (- k)
5.644 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
5.644 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
5.645 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.645 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
5.646 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
5.646 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
5.646 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
5.646 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
5.646 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
5.646 * [taylor]: Taking taylor expansion of 1/2 in n
5.646 * [backup-simplify]: Simplify 1/2 into 1/2
5.646 * [taylor]: Taking taylor expansion of (- 1 k) in n
5.646 * [taylor]: Taking taylor expansion of 1 in n
5.646 * [backup-simplify]: Simplify 1 into 1
5.646 * [taylor]: Taking taylor expansion of k in n
5.646 * [backup-simplify]: Simplify k into k
5.646 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.646 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.646 * [taylor]: Taking taylor expansion of 2 in n
5.646 * [backup-simplify]: Simplify 2 into 2
5.646 * [taylor]: Taking taylor expansion of (* n PI) in n
5.646 * [taylor]: Taking taylor expansion of n in n
5.646 * [backup-simplify]: Simplify 0 into 0
5.646 * [backup-simplify]: Simplify 1 into 1
5.647 * [taylor]: Taking taylor expansion of PI in n
5.647 * [backup-simplify]: Simplify PI into PI
5.647 * [backup-simplify]: Simplify (* 0 PI) into 0
5.647 * [backup-simplify]: Simplify (* 2 0) into 0
5.648 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.649 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.650 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.650 * [backup-simplify]: Simplify (- k) into (- k)
5.650 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
5.650 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
5.651 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.651 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
5.652 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
5.652 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
5.652 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
5.652 * [taylor]: Taking taylor expansion of 1/2 in k
5.652 * [backup-simplify]: Simplify 1/2 into 1/2
5.652 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
5.652 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.652 * [taylor]: Taking taylor expansion of 1 in k
5.652 * [backup-simplify]: Simplify 1 into 1
5.652 * [taylor]: Taking taylor expansion of k in k
5.652 * [backup-simplify]: Simplify 0 into 0
5.652 * [backup-simplify]: Simplify 1 into 1
5.652 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
5.652 * [taylor]: Taking taylor expansion of (log n) in k
5.652 * [taylor]: Taking taylor expansion of n in k
5.652 * [backup-simplify]: Simplify n into n
5.652 * [backup-simplify]: Simplify (log n) into (log n)
5.652 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.652 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.653 * [taylor]: Taking taylor expansion of 2 in k
5.653 * [backup-simplify]: Simplify 2 into 2
5.653 * [taylor]: Taking taylor expansion of PI in k
5.653 * [backup-simplify]: Simplify PI into PI
5.653 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.653 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.654 * [backup-simplify]: Simplify (- 0) into 0
5.654 * [backup-simplify]: Simplify (+ 1 0) into 1
5.655 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.655 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
5.656 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
5.657 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
5.657 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
5.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.662 * [backup-simplify]: Simplify (- 0) into 0
5.662 * [backup-simplify]: Simplify (+ 0 0) into 0
5.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
5.664 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.665 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
5.667 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.667 * [taylor]: Taking taylor expansion of 0 in k
5.667 * [backup-simplify]: Simplify 0 into 0
5.667 * [backup-simplify]: Simplify 0 into 0
5.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
5.669 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.671 * [backup-simplify]: Simplify (+ 0 0) into 0
5.672 * [backup-simplify]: Simplify (- 1) into -1
5.672 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.674 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
5.676 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
5.679 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
5.682 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
5.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
5.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
5.686 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
5.687 * [backup-simplify]: Simplify (- 0) into 0
5.687 * [backup-simplify]: Simplify (+ 0 0) into 0
5.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
5.688 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.689 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.691 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.691 * [taylor]: Taking taylor expansion of 0 in k
5.691 * [backup-simplify]: Simplify 0 into 0
5.691 * [backup-simplify]: Simplify 0 into 0
5.691 * [backup-simplify]: Simplify 0 into 0
5.692 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
5.693 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
5.695 * [backup-simplify]: Simplify (+ 0 0) into 0
5.695 * [backup-simplify]: Simplify (- 0) into 0
5.695 * [backup-simplify]: Simplify (+ 0 0) into 0
5.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.700 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
5.703 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
5.711 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
5.712 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
5.712 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
5.712 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
5.712 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.712 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.712 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
5.712 * [taylor]: Taking taylor expansion of 1/2 in k
5.712 * [backup-simplify]: Simplify 1/2 into 1/2
5.712 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.712 * [taylor]: Taking taylor expansion of 1 in k
5.712 * [backup-simplify]: Simplify 1 into 1
5.712 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.712 * [taylor]: Taking taylor expansion of k in k
5.712 * [backup-simplify]: Simplify 0 into 0
5.713 * [backup-simplify]: Simplify 1 into 1
5.713 * [backup-simplify]: Simplify (/ 1 1) into 1
5.713 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.713 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.713 * [taylor]: Taking taylor expansion of 2 in k
5.713 * [backup-simplify]: Simplify 2 into 2
5.713 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.713 * [taylor]: Taking taylor expansion of PI in k
5.713 * [backup-simplify]: Simplify PI into PI
5.713 * [taylor]: Taking taylor expansion of n in k
5.713 * [backup-simplify]: Simplify n into n
5.713 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.713 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.713 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.714 * [backup-simplify]: Simplify (- 1) into -1
5.714 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.715 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
5.715 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.715 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
5.715 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.715 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.715 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.715 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.715 * [taylor]: Taking taylor expansion of 1/2 in n
5.715 * [backup-simplify]: Simplify 1/2 into 1/2
5.715 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.715 * [taylor]: Taking taylor expansion of 1 in n
5.715 * [backup-simplify]: Simplify 1 into 1
5.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.715 * [taylor]: Taking taylor expansion of k in n
5.715 * [backup-simplify]: Simplify k into k
5.715 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.715 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.715 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.715 * [taylor]: Taking taylor expansion of 2 in n
5.716 * [backup-simplify]: Simplify 2 into 2
5.716 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.716 * [taylor]: Taking taylor expansion of PI in n
5.716 * [backup-simplify]: Simplify PI into PI
5.716 * [taylor]: Taking taylor expansion of n in n
5.716 * [backup-simplify]: Simplify 0 into 0
5.716 * [backup-simplify]: Simplify 1 into 1
5.716 * [backup-simplify]: Simplify (/ PI 1) into PI
5.717 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.718 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.718 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.718 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.718 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.719 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.720 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.722 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.722 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.722 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.722 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.722 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.722 * [taylor]: Taking taylor expansion of 1/2 in n
5.722 * [backup-simplify]: Simplify 1/2 into 1/2
5.722 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.722 * [taylor]: Taking taylor expansion of 1 in n
5.722 * [backup-simplify]: Simplify 1 into 1
5.722 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.722 * [taylor]: Taking taylor expansion of k in n
5.722 * [backup-simplify]: Simplify k into k
5.722 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.722 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.722 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.722 * [taylor]: Taking taylor expansion of 2 in n
5.722 * [backup-simplify]: Simplify 2 into 2
5.722 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.722 * [taylor]: Taking taylor expansion of PI in n
5.722 * [backup-simplify]: Simplify PI into PI
5.722 * [taylor]: Taking taylor expansion of n in n
5.722 * [backup-simplify]: Simplify 0 into 0
5.722 * [backup-simplify]: Simplify 1 into 1
5.723 * [backup-simplify]: Simplify (/ PI 1) into PI
5.723 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.724 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.724 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.724 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.725 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.726 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.727 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.728 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.728 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
5.728 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
5.728 * [taylor]: Taking taylor expansion of 1/2 in k
5.729 * [backup-simplify]: Simplify 1/2 into 1/2
5.729 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
5.729 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.729 * [taylor]: Taking taylor expansion of 1 in k
5.729 * [backup-simplify]: Simplify 1 into 1
5.729 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.729 * [taylor]: Taking taylor expansion of k in k
5.729 * [backup-simplify]: Simplify 0 into 0
5.729 * [backup-simplify]: Simplify 1 into 1
5.729 * [backup-simplify]: Simplify (/ 1 1) into 1
5.729 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
5.729 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.729 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.729 * [taylor]: Taking taylor expansion of 2 in k
5.729 * [backup-simplify]: Simplify 2 into 2
5.729 * [taylor]: Taking taylor expansion of PI in k
5.729 * [backup-simplify]: Simplify PI into PI
5.736 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.738 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.738 * [taylor]: Taking taylor expansion of (log n) in k
5.738 * [taylor]: Taking taylor expansion of n in k
5.738 * [backup-simplify]: Simplify n into n
5.738 * [backup-simplify]: Simplify (log n) into (log n)
5.738 * [backup-simplify]: Simplify (- 1) into -1
5.739 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.739 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.740 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
5.741 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
5.742 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
5.744 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.745 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.747 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.749 * [backup-simplify]: Simplify (- 0) into 0
5.749 * [backup-simplify]: Simplify (+ 0 0) into 0
5.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
5.751 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.753 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
5.755 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.755 * [taylor]: Taking taylor expansion of 0 in k
5.755 * [backup-simplify]: Simplify 0 into 0
5.755 * [backup-simplify]: Simplify 0 into 0
5.755 * [backup-simplify]: Simplify 0 into 0
5.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.760 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
5.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.761 * [backup-simplify]: Simplify (- 0) into 0
5.762 * [backup-simplify]: Simplify (+ 0 0) into 0
5.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
5.764 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.766 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
5.768 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.768 * [taylor]: Taking taylor expansion of 0 in k
5.768 * [backup-simplify]: Simplify 0 into 0
5.768 * [backup-simplify]: Simplify 0 into 0
5.768 * [backup-simplify]: Simplify 0 into 0
5.768 * [backup-simplify]: Simplify 0 into 0
5.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.771 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.776 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
5.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.777 * [backup-simplify]: Simplify (- 0) into 0
5.777 * [backup-simplify]: Simplify (+ 0 0) into 0
5.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
5.780 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.782 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
5.784 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.784 * [taylor]: Taking taylor expansion of 0 in k
5.784 * [backup-simplify]: Simplify 0 into 0
5.784 * [backup-simplify]: Simplify 0 into 0
5.785 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
5.786 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
5.786 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
5.786 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.786 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.786 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.787 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.787 * [taylor]: Taking taylor expansion of 1/2 in k
5.787 * [backup-simplify]: Simplify 1/2 into 1/2
5.787 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.787 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.787 * [taylor]: Taking taylor expansion of k in k
5.787 * [backup-simplify]: Simplify 0 into 0
5.787 * [backup-simplify]: Simplify 1 into 1
5.787 * [backup-simplify]: Simplify (/ 1 1) into 1
5.787 * [taylor]: Taking taylor expansion of 1 in k
5.787 * [backup-simplify]: Simplify 1 into 1
5.787 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.787 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.787 * [taylor]: Taking taylor expansion of -2 in k
5.787 * [backup-simplify]: Simplify -2 into -2
5.787 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.787 * [taylor]: Taking taylor expansion of PI in k
5.787 * [backup-simplify]: Simplify PI into PI
5.787 * [taylor]: Taking taylor expansion of n in k
5.788 * [backup-simplify]: Simplify n into n
5.788 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.788 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.788 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.788 * [backup-simplify]: Simplify (+ 1 0) into 1
5.789 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.789 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.789 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.789 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.789 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.789 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.789 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.789 * [taylor]: Taking taylor expansion of 1/2 in n
5.789 * [backup-simplify]: Simplify 1/2 into 1/2
5.789 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.789 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.789 * [taylor]: Taking taylor expansion of k in n
5.790 * [backup-simplify]: Simplify k into k
5.790 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.790 * [taylor]: Taking taylor expansion of 1 in n
5.790 * [backup-simplify]: Simplify 1 into 1
5.790 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.790 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.790 * [taylor]: Taking taylor expansion of -2 in n
5.790 * [backup-simplify]: Simplify -2 into -2
5.790 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.790 * [taylor]: Taking taylor expansion of PI in n
5.790 * [backup-simplify]: Simplify PI into PI
5.790 * [taylor]: Taking taylor expansion of n in n
5.790 * [backup-simplify]: Simplify 0 into 0
5.790 * [backup-simplify]: Simplify 1 into 1
5.790 * [backup-simplify]: Simplify (/ PI 1) into PI
5.791 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.792 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.792 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.792 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.794 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.795 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.796 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.796 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.796 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.796 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.796 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.796 * [taylor]: Taking taylor expansion of 1/2 in n
5.796 * [backup-simplify]: Simplify 1/2 into 1/2
5.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.796 * [taylor]: Taking taylor expansion of k in n
5.796 * [backup-simplify]: Simplify k into k
5.796 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.796 * [taylor]: Taking taylor expansion of 1 in n
5.796 * [backup-simplify]: Simplify 1 into 1
5.796 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.796 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.796 * [taylor]: Taking taylor expansion of -2 in n
5.796 * [backup-simplify]: Simplify -2 into -2
5.796 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.796 * [taylor]: Taking taylor expansion of PI in n
5.797 * [backup-simplify]: Simplify PI into PI
5.797 * [taylor]: Taking taylor expansion of n in n
5.797 * [backup-simplify]: Simplify 0 into 0
5.797 * [backup-simplify]: Simplify 1 into 1
5.797 * [backup-simplify]: Simplify (/ PI 1) into PI
5.797 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.798 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.798 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.799 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.801 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.802 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.802 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
5.802 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
5.802 * [taylor]: Taking taylor expansion of 1/2 in k
5.802 * [backup-simplify]: Simplify 1/2 into 1/2
5.802 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
5.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.803 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.803 * [taylor]: Taking taylor expansion of k in k
5.803 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify 1 into 1
5.803 * [backup-simplify]: Simplify (/ 1 1) into 1
5.803 * [taylor]: Taking taylor expansion of 1 in k
5.803 * [backup-simplify]: Simplify 1 into 1
5.803 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
5.803 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
5.803 * [taylor]: Taking taylor expansion of (* -2 PI) in k
5.803 * [taylor]: Taking taylor expansion of -2 in k
5.803 * [backup-simplify]: Simplify -2 into -2
5.803 * [taylor]: Taking taylor expansion of PI in k
5.803 * [backup-simplify]: Simplify PI into PI
5.804 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.805 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.805 * [taylor]: Taking taylor expansion of (log n) in k
5.805 * [taylor]: Taking taylor expansion of n in k
5.805 * [backup-simplify]: Simplify n into n
5.805 * [backup-simplify]: Simplify (log n) into (log n)
5.805 * [backup-simplify]: Simplify (+ 1 0) into 1
5.805 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.806 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
5.807 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
5.808 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
5.809 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.810 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.812 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.814 * [backup-simplify]: Simplify (+ 0 0) into 0
5.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
5.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.817 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
5.819 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.819 * [taylor]: Taking taylor expansion of 0 in k
5.819 * [backup-simplify]: Simplify 0 into 0
5.819 * [backup-simplify]: Simplify 0 into 0
5.819 * [backup-simplify]: Simplify 0 into 0
5.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.821 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
5.824 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
5.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.825 * [backup-simplify]: Simplify (+ 0 0) into 0
5.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
5.827 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.829 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
5.831 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.831 * [taylor]: Taking taylor expansion of 0 in k
5.831 * [backup-simplify]: Simplify 0 into 0
5.831 * [backup-simplify]: Simplify 0 into 0
5.832 * [backup-simplify]: Simplify 0 into 0
5.832 * [backup-simplify]: Simplify 0 into 0
5.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.834 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.839 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
5.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.840 * [backup-simplify]: Simplify (+ 0 0) into 0
5.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
5.843 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.845 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
5.847 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.847 * [taylor]: Taking taylor expansion of 0 in k
5.847 * [backup-simplify]: Simplify 0 into 0
5.847 * [backup-simplify]: Simplify 0 into 0
5.848 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
5.849 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
5.849 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
5.849 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
5.849 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.849 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.849 * [taylor]: Taking taylor expansion of k in k
5.849 * [backup-simplify]: Simplify 0 into 0
5.849 * [backup-simplify]: Simplify 1 into 1
5.849 * [backup-simplify]: Simplify (/ 1 1) into 1
5.850 * [backup-simplify]: Simplify (sqrt 0) into 0
5.851 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.851 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.851 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.851 * [taylor]: Taking taylor expansion of k in k
5.851 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify 1 into 1
5.852 * [backup-simplify]: Simplify (/ 1 1) into 1
5.852 * [backup-simplify]: Simplify (sqrt 0) into 0
5.853 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.854 * [backup-simplify]: Simplify 0 into 0
5.854 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.858 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.858 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.863 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.863 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
5.863 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
5.863 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
5.863 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.863 * [taylor]: Taking taylor expansion of k in k
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify 1 into 1
5.864 * [backup-simplify]: Simplify (sqrt 0) into 0
5.865 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.865 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.865 * [taylor]: Taking taylor expansion of k in k
5.865 * [backup-simplify]: Simplify 0 into 0
5.865 * [backup-simplify]: Simplify 1 into 1
5.866 * [backup-simplify]: Simplify (sqrt 0) into 0
5.867 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.867 * [backup-simplify]: Simplify 0 into 0
5.867 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.870 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.870 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.875 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.875 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
5.875 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
5.875 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
5.875 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
5.875 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.875 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.875 * [taylor]: Taking taylor expansion of -1 in k
5.875 * [backup-simplify]: Simplify -1 into -1
5.875 * [taylor]: Taking taylor expansion of k in k
5.875 * [backup-simplify]: Simplify 0 into 0
5.875 * [backup-simplify]: Simplify 1 into 1
5.881 * [backup-simplify]: Simplify (/ -1 1) into -1
5.882 * [backup-simplify]: Simplify (sqrt 0) into 0
5.884 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.884 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
5.885 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
5.885 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.885 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.885 * [taylor]: Taking taylor expansion of -1 in k
5.885 * [backup-simplify]: Simplify -1 into -1
5.885 * [taylor]: Taking taylor expansion of k in k
5.885 * [backup-simplify]: Simplify 0 into 0
5.885 * [backup-simplify]: Simplify 1 into 1
5.885 * [backup-simplify]: Simplify (/ -1 1) into -1
5.886 * [backup-simplify]: Simplify (sqrt 0) into 0
5.887 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.887 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
5.887 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.891 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.894 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
5.894 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.904 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
5.904 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.905 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
5.906 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
5.906 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
5.906 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
5.906 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.906 * [taylor]: Taking taylor expansion of 2 in n
5.906 * [backup-simplify]: Simplify 2 into 2
5.906 * [taylor]: Taking taylor expansion of (* n PI) in n
5.906 * [taylor]: Taking taylor expansion of n in n
5.906 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify 1 into 1
5.906 * [taylor]: Taking taylor expansion of PI in n
5.906 * [backup-simplify]: Simplify PI into PI
5.906 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.906 * [taylor]: Taking taylor expansion of 2 in n
5.906 * [backup-simplify]: Simplify 2 into 2
5.907 * [taylor]: Taking taylor expansion of (* n PI) in n
5.907 * [taylor]: Taking taylor expansion of n in n
5.907 * [backup-simplify]: Simplify 0 into 0
5.907 * [backup-simplify]: Simplify 1 into 1
5.907 * [taylor]: Taking taylor expansion of PI in n
5.907 * [backup-simplify]: Simplify PI into PI
5.907 * [backup-simplify]: Simplify (* 0 PI) into 0
5.908 * [backup-simplify]: Simplify (* 2 0) into 0
5.908 * [backup-simplify]: Simplify 0 into 0
5.909 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.911 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.911 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.914 * [backup-simplify]: Simplify 0 into 0
5.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
5.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
5.916 * [backup-simplify]: Simplify 0 into 0
5.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.919 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
5.919 * [backup-simplify]: Simplify 0 into 0
5.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.922 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
5.922 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
5.926 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
5.930 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
5.930 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
5.931 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
5.931 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
5.931 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.931 * [taylor]: Taking taylor expansion of 2 in n
5.931 * [backup-simplify]: Simplify 2 into 2
5.931 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.931 * [taylor]: Taking taylor expansion of PI in n
5.931 * [backup-simplify]: Simplify PI into PI
5.931 * [taylor]: Taking taylor expansion of n in n
5.932 * [backup-simplify]: Simplify 0 into 0
5.932 * [backup-simplify]: Simplify 1 into 1
5.932 * [backup-simplify]: Simplify (/ PI 1) into PI
5.932 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.932 * [taylor]: Taking taylor expansion of 2 in n
5.932 * [backup-simplify]: Simplify 2 into 2
5.932 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.932 * [taylor]: Taking taylor expansion of PI in n
5.932 * [backup-simplify]: Simplify PI into PI
5.932 * [taylor]: Taking taylor expansion of n in n
5.932 * [backup-simplify]: Simplify 0 into 0
5.932 * [backup-simplify]: Simplify 1 into 1
5.933 * [backup-simplify]: Simplify (/ PI 1) into PI
5.933 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.934 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.935 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.935 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.938 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.938 * [backup-simplify]: Simplify 0 into 0
5.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.940 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.940 * [backup-simplify]: Simplify 0 into 0
5.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.943 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.943 * [backup-simplify]: Simplify 0 into 0
5.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.946 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.946 * [backup-simplify]: Simplify 0 into 0
5.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.950 * [backup-simplify]: Simplify 0 into 0
5.951 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
5.952 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
5.952 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
5.952 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.952 * [taylor]: Taking taylor expansion of -2 in n
5.952 * [backup-simplify]: Simplify -2 into -2
5.952 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.952 * [taylor]: Taking taylor expansion of PI in n
5.952 * [backup-simplify]: Simplify PI into PI
5.952 * [taylor]: Taking taylor expansion of n in n
5.952 * [backup-simplify]: Simplify 0 into 0
5.952 * [backup-simplify]: Simplify 1 into 1
5.952 * [backup-simplify]: Simplify (/ PI 1) into PI
5.952 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.952 * [taylor]: Taking taylor expansion of -2 in n
5.952 * [backup-simplify]: Simplify -2 into -2
5.952 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.952 * [taylor]: Taking taylor expansion of PI in n
5.953 * [backup-simplify]: Simplify PI into PI
5.953 * [taylor]: Taking taylor expansion of n in n
5.953 * [backup-simplify]: Simplify 0 into 0
5.953 * [backup-simplify]: Simplify 1 into 1
5.953 * [backup-simplify]: Simplify (/ PI 1) into PI
5.954 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.954 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.956 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.956 * [backup-simplify]: Simplify 0 into 0
5.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.958 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
5.958 * [backup-simplify]: Simplify 0 into 0
5.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.961 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.961 * [backup-simplify]: Simplify 0 into 0
5.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.963 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.963 * [backup-simplify]: Simplify 0 into 0
5.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.966 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.966 * [backup-simplify]: Simplify 0 into 0
5.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.969 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.969 * [backup-simplify]: Simplify 0 into 0
5.970 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
5.970 * * * * [progress]: [ 4 / 4 ] generating series at (2)
5.971 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
5.971 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
5.971 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
5.971 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
5.971 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
5.971 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
5.971 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
5.971 * [taylor]: Taking taylor expansion of 1/2 in n
5.971 * [backup-simplify]: Simplify 1/2 into 1/2
5.971 * [taylor]: Taking taylor expansion of (- 1 k) in n
5.971 * [taylor]: Taking taylor expansion of 1 in n
5.971 * [backup-simplify]: Simplify 1 into 1
5.971 * [taylor]: Taking taylor expansion of k in n
5.971 * [backup-simplify]: Simplify k into k
5.971 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.971 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.971 * [taylor]: Taking taylor expansion of 2 in n
5.971 * [backup-simplify]: Simplify 2 into 2
5.971 * [taylor]: Taking taylor expansion of (* n PI) in n
5.971 * [taylor]: Taking taylor expansion of n in n
5.971 * [backup-simplify]: Simplify 0 into 0
5.971 * [backup-simplify]: Simplify 1 into 1
5.971 * [taylor]: Taking taylor expansion of PI in n
5.971 * [backup-simplify]: Simplify PI into PI
5.972 * [backup-simplify]: Simplify (* 0 PI) into 0
5.972 * [backup-simplify]: Simplify (* 2 0) into 0
5.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.975 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.976 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.977 * [backup-simplify]: Simplify (- k) into (- k)
5.977 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
5.977 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
5.978 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.979 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
5.981 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
5.981 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
5.981 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.981 * [taylor]: Taking taylor expansion of k in n
5.981 * [backup-simplify]: Simplify k into k
5.981 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.981 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
5.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
5.981 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
5.981 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
5.981 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
5.981 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
5.981 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
5.981 * [taylor]: Taking taylor expansion of 1/2 in k
5.981 * [backup-simplify]: Simplify 1/2 into 1/2
5.981 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.981 * [taylor]: Taking taylor expansion of 1 in k
5.981 * [backup-simplify]: Simplify 1 into 1
5.981 * [taylor]: Taking taylor expansion of k in k
5.981 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify 1 into 1
5.982 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.982 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.982 * [taylor]: Taking taylor expansion of 2 in k
5.982 * [backup-simplify]: Simplify 2 into 2
5.982 * [taylor]: Taking taylor expansion of (* n PI) in k
5.982 * [taylor]: Taking taylor expansion of n in k
5.982 * [backup-simplify]: Simplify n into n
5.982 * [taylor]: Taking taylor expansion of PI in k
5.982 * [backup-simplify]: Simplify PI into PI
5.982 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.982 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.982 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.982 * [backup-simplify]: Simplify (- 0) into 0
5.983 * [backup-simplify]: Simplify (+ 1 0) into 1
5.983 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.983 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.984 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.984 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.984 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.984 * [taylor]: Taking taylor expansion of k in k
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify 1 into 1
5.984 * [backup-simplify]: Simplify (/ 1 1) into 1
5.984 * [backup-simplify]: Simplify (sqrt 0) into 0
5.986 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.986 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
5.986 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
5.986 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
5.986 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
5.986 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
5.986 * [taylor]: Taking taylor expansion of 1/2 in k
5.986 * [backup-simplify]: Simplify 1/2 into 1/2
5.986 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.986 * [taylor]: Taking taylor expansion of 1 in k
5.986 * [backup-simplify]: Simplify 1 into 1
5.986 * [taylor]: Taking taylor expansion of k in k
5.986 * [backup-simplify]: Simplify 0 into 0
5.986 * [backup-simplify]: Simplify 1 into 1
5.986 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.986 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.987 * [taylor]: Taking taylor expansion of 2 in k
5.987 * [backup-simplify]: Simplify 2 into 2
5.987 * [taylor]: Taking taylor expansion of (* n PI) in k
5.987 * [taylor]: Taking taylor expansion of n in k
5.987 * [backup-simplify]: Simplify n into n
5.987 * [taylor]: Taking taylor expansion of PI in k
5.987 * [backup-simplify]: Simplify PI into PI
5.987 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.987 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.987 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.987 * [backup-simplify]: Simplify (- 0) into 0
5.988 * [backup-simplify]: Simplify (+ 1 0) into 1
5.988 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.988 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.988 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.988 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.989 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.989 * [taylor]: Taking taylor expansion of k in k
5.989 * [backup-simplify]: Simplify 0 into 0
5.989 * [backup-simplify]: Simplify 1 into 1
5.989 * [backup-simplify]: Simplify (/ 1 1) into 1
5.989 * [backup-simplify]: Simplify (sqrt 0) into 0
5.991 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.991 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
5.991 * [taylor]: Taking taylor expansion of 0 in n
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
5.992 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
5.993 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
5.993 * [backup-simplify]: Simplify (- 1) into -1
5.994 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.995 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
5.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
5.996 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
5.996 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
5.996 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
5.996 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
5.996 * [taylor]: Taking taylor expansion of +nan.0 in n
5.996 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.996 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
5.996 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.996 * [taylor]: Taking taylor expansion of 2 in n
5.996 * [backup-simplify]: Simplify 2 into 2
5.997 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.998 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.998 * [taylor]: Taking taylor expansion of (* n PI) in n
5.998 * [taylor]: Taking taylor expansion of n in n
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify 1 into 1
5.998 * [taylor]: Taking taylor expansion of PI in n
5.998 * [backup-simplify]: Simplify PI into PI
5.998 * [backup-simplify]: Simplify (* 0 PI) into 0
6.000 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.000 * [backup-simplify]: Simplify (sqrt 0) into 0
6.002 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
6.002 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
6.003 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.003 * [backup-simplify]: Simplify (- 0) into 0
6.003 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify 0 into 0
6.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.007 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.007 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
6.008 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
6.010 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
6.010 * [backup-simplify]: Simplify (- 0) into 0
6.011 * [backup-simplify]: Simplify (+ 0 0) into 0
6.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
6.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
6.013 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
6.014 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
6.014 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
6.014 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
6.014 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
6.014 * [taylor]: Taking taylor expansion of +nan.0 in n
6.014 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.014 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
6.014 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
6.014 * [taylor]: Taking taylor expansion of (sqrt 2) in n
6.014 * [taylor]: Taking taylor expansion of 2 in n
6.014 * [backup-simplify]: Simplify 2 into 2
6.015 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.015 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
6.015 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
6.015 * [taylor]: Taking taylor expansion of 2 in n
6.015 * [backup-simplify]: Simplify 2 into 2
6.015 * [taylor]: Taking taylor expansion of (* n PI) in n
6.016 * [taylor]: Taking taylor expansion of n in n
6.016 * [backup-simplify]: Simplify 0 into 0
6.016 * [backup-simplify]: Simplify 1 into 1
6.016 * [taylor]: Taking taylor expansion of PI in n
6.016 * [backup-simplify]: Simplify PI into PI
6.016 * [backup-simplify]: Simplify (* 0 PI) into 0
6.016 * [backup-simplify]: Simplify (* 2 0) into 0
6.018 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.020 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
6.021 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.021 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
6.021 * [taylor]: Taking taylor expansion of (* n PI) in n
6.021 * [taylor]: Taking taylor expansion of n in n
6.021 * [backup-simplify]: Simplify 0 into 0
6.021 * [backup-simplify]: Simplify 1 into 1
6.021 * [taylor]: Taking taylor expansion of PI in n
6.021 * [backup-simplify]: Simplify PI into PI
6.021 * [backup-simplify]: Simplify (* 0 PI) into 0
6.023 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.023 * [backup-simplify]: Simplify (sqrt 0) into 0
6.025 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
6.025 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
6.025 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
6.025 * [taylor]: Taking taylor expansion of +nan.0 in n
6.025 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.025 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
6.025 * [taylor]: Taking taylor expansion of (sqrt 2) in n
6.025 * [taylor]: Taking taylor expansion of 2 in n
6.025 * [backup-simplify]: Simplify 2 into 2
6.025 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.026 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
6.026 * [taylor]: Taking taylor expansion of (* n PI) in n
6.026 * [taylor]: Taking taylor expansion of n in n
6.026 * [backup-simplify]: Simplify 0 into 0
6.026 * [backup-simplify]: Simplify 1 into 1
6.026 * [taylor]: Taking taylor expansion of PI in n
6.026 * [backup-simplify]: Simplify PI into PI
6.027 * [backup-simplify]: Simplify (* 0 PI) into 0
6.035 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.036 * [backup-simplify]: Simplify (sqrt 0) into 0
6.037 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
6.039 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.041 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
6.042 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
6.043 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.043 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
6.044 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.044 * [backup-simplify]: Simplify (- 0) into 0
6.045 * [backup-simplify]: Simplify (+ 0 0) into 0
6.045 * [backup-simplify]: Simplify (- 0) into 0
6.045 * [backup-simplify]: Simplify 0 into 0
6.048 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
6.054 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
6.057 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
6.060 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
6.060 * [backup-simplify]: Simplify 0 into 0
6.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.067 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
6.068 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
6.071 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
6.071 * [backup-simplify]: Simplify (- 0) into 0
6.072 * [backup-simplify]: Simplify (+ 0 0) into 0
6.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
6.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
6.077 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
6.078 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
6.078 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
6.078 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
6.078 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
6.078 * [taylor]: Taking taylor expansion of +nan.0 in n
6.078 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.079 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
6.079 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
6.079 * [taylor]: Taking taylor expansion of (sqrt 2) in n
6.079 * [taylor]: Taking taylor expansion of 2 in n
6.079 * [backup-simplify]: Simplify 2 into 2
6.079 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.080 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
6.080 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
6.080 * [taylor]: Taking taylor expansion of 2 in n
6.080 * [backup-simplify]: Simplify 2 into 2
6.080 * [taylor]: Taking taylor expansion of (* n PI) in n
6.080 * [taylor]: Taking taylor expansion of n in n
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify 1 into 1
6.080 * [taylor]: Taking taylor expansion of PI in n
6.080 * [backup-simplify]: Simplify PI into PI
6.080 * [backup-simplify]: Simplify (* 0 PI) into 0
6.081 * [backup-simplify]: Simplify (* 2 0) into 0
6.082 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.084 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
6.085 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.085 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
6.085 * [taylor]: Taking taylor expansion of (* n PI) in n
6.085 * [taylor]: Taking taylor expansion of n in n
6.085 * [backup-simplify]: Simplify 0 into 0
6.085 * [backup-simplify]: Simplify 1 into 1
6.085 * [taylor]: Taking taylor expansion of PI in n
6.085 * [backup-simplify]: Simplify PI into PI
6.086 * [backup-simplify]: Simplify (* 0 PI) into 0
6.087 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.088 * [backup-simplify]: Simplify (sqrt 0) into 0
6.089 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
6.089 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
6.089 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
6.089 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
6.089 * [taylor]: Taking taylor expansion of +nan.0 in n
6.089 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.089 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
6.089 * [taylor]: Taking taylor expansion of (sqrt 2) in n
6.089 * [taylor]: Taking taylor expansion of 2 in n
6.090 * [backup-simplify]: Simplify 2 into 2
6.090 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.091 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
6.091 * [taylor]: Taking taylor expansion of (* n PI) in n
6.091 * [taylor]: Taking taylor expansion of n in n
6.091 * [backup-simplify]: Simplify 0 into 0
6.091 * [backup-simplify]: Simplify 1 into 1
6.091 * [taylor]: Taking taylor expansion of PI in n
6.091 * [backup-simplify]: Simplify PI into PI
6.091 * [backup-simplify]: Simplify (* 0 PI) into 0
6.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.093 * [backup-simplify]: Simplify (sqrt 0) into 0
6.094 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
6.094 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
6.094 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
6.094 * [taylor]: Taking taylor expansion of +nan.0 in n
6.094 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.094 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
6.094 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
6.094 * [taylor]: Taking taylor expansion of (sqrt 2) in n
6.094 * [taylor]: Taking taylor expansion of 2 in n
6.094 * [backup-simplify]: Simplify 2 into 2
6.095 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.095 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
6.095 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
6.095 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
6.095 * [taylor]: Taking taylor expansion of 2 in n
6.095 * [backup-simplify]: Simplify 2 into 2
6.095 * [taylor]: Taking taylor expansion of (* n PI) in n
6.095 * [taylor]: Taking taylor expansion of n in n
6.095 * [backup-simplify]: Simplify 0 into 0
6.095 * [backup-simplify]: Simplify 1 into 1
6.095 * [taylor]: Taking taylor expansion of PI in n
6.095 * [backup-simplify]: Simplify PI into PI
6.095 * [backup-simplify]: Simplify (* 0 PI) into 0
6.096 * [backup-simplify]: Simplify (* 2 0) into 0
6.097 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.098 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
6.098 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.099 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.099 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
6.099 * [taylor]: Taking taylor expansion of (* n PI) in n
6.099 * [taylor]: Taking taylor expansion of n in n
6.099 * [backup-simplify]: Simplify 0 into 0
6.099 * [backup-simplify]: Simplify 1 into 1
6.099 * [taylor]: Taking taylor expansion of PI in n
6.099 * [backup-simplify]: Simplify PI into PI
6.099 * [backup-simplify]: Simplify (* 0 PI) into 0
6.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.101 * [backup-simplify]: Simplify (sqrt 0) into 0
6.102 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
6.103 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.104 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
6.104 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
6.105 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.105 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
6.105 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.106 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.107 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.109 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
6.109 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
6.110 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
6.111 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.111 * [backup-simplify]: Simplify (- 0) into 0
6.111 * [backup-simplify]: Simplify (+ 0 0) into 0
6.111 * [backup-simplify]: Simplify (- 0) into 0
6.112 * [backup-simplify]: Simplify (+ 0 0) into 0
6.112 * [backup-simplify]: Simplify (- 0) into 0
6.112 * [backup-simplify]: Simplify 0 into 0
6.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
6.113 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
6.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
6.116 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.117 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
6.119 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
6.123 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
6.126 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
6.132 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
6.136 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
6.142 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
6.146 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
6.156 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
6.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
6.160 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
6.160 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
6.163 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.171 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.175 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.179 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.194 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
6.194 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
6.194 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
6.194 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
6.194 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
6.195 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.195 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.195 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
6.195 * [taylor]: Taking taylor expansion of 1/2 in n
6.195 * [backup-simplify]: Simplify 1/2 into 1/2
6.195 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
6.195 * [taylor]: Taking taylor expansion of 1 in n
6.195 * [backup-simplify]: Simplify 1 into 1
6.195 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.195 * [taylor]: Taking taylor expansion of k in n
6.195 * [backup-simplify]: Simplify k into k
6.195 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.195 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.195 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.195 * [taylor]: Taking taylor expansion of 2 in n
6.195 * [backup-simplify]: Simplify 2 into 2
6.195 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.195 * [taylor]: Taking taylor expansion of PI in n
6.195 * [backup-simplify]: Simplify PI into PI
6.195 * [taylor]: Taking taylor expansion of n in n
6.195 * [backup-simplify]: Simplify 0 into 0
6.195 * [backup-simplify]: Simplify 1 into 1
6.196 * [backup-simplify]: Simplify (/ PI 1) into PI
6.196 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.197 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.197 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
6.197 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
6.197 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
6.199 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.200 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
6.201 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
6.201 * [taylor]: Taking taylor expansion of (sqrt k) in n
6.201 * [taylor]: Taking taylor expansion of k in n
6.201 * [backup-simplify]: Simplify k into k
6.201 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
6.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
6.201 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
6.201 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
6.201 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
6.201 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
6.201 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
6.202 * [taylor]: Taking taylor expansion of 1/2 in k
6.202 * [backup-simplify]: Simplify 1/2 into 1/2
6.202 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
6.202 * [taylor]: Taking taylor expansion of 1 in k
6.202 * [backup-simplify]: Simplify 1 into 1
6.202 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.202 * [taylor]: Taking taylor expansion of k in k
6.202 * [backup-simplify]: Simplify 0 into 0
6.202 * [backup-simplify]: Simplify 1 into 1
6.202 * [backup-simplify]: Simplify (/ 1 1) into 1
6.202 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
6.202 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
6.202 * [taylor]: Taking taylor expansion of 2 in k
6.202 * [backup-simplify]: Simplify 2 into 2
6.202 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.202 * [taylor]: Taking taylor expansion of PI in k
6.202 * [backup-simplify]: Simplify PI into PI
6.202 * [taylor]: Taking taylor expansion of n in k
6.202 * [backup-simplify]: Simplify n into n
6.202 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.202 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
6.203 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
6.203 * [backup-simplify]: Simplify (- 1) into -1
6.203 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.204 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
6.204 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
6.204 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
6.204 * [taylor]: Taking taylor expansion of (sqrt k) in k
6.204 * [taylor]: Taking taylor expansion of k in k
6.204 * [backup-simplify]: Simplify 0 into 0
6.204 * [backup-simplify]: Simplify 1 into 1
6.205 * [backup-simplify]: Simplify (sqrt 0) into 0
6.206 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.206 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
6.206 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
6.206 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
6.206 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
6.206 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
6.206 * [taylor]: Taking taylor expansion of 1/2 in k
6.206 * [backup-simplify]: Simplify 1/2 into 1/2
6.206 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
6.206 * [taylor]: Taking taylor expansion of 1 in k
6.206 * [backup-simplify]: Simplify 1 into 1
6.206 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.206 * [taylor]: Taking taylor expansion of k in k
6.206 * [backup-simplify]: Simplify 0 into 0
6.206 * [backup-simplify]: Simplify 1 into 1
6.207 * [backup-simplify]: Simplify (/ 1 1) into 1
6.207 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
6.207 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
6.207 * [taylor]: Taking taylor expansion of 2 in k
6.207 * [backup-simplify]: Simplify 2 into 2
6.207 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.207 * [taylor]: Taking taylor expansion of PI in k
6.207 * [backup-simplify]: Simplify PI into PI
6.207 * [taylor]: Taking taylor expansion of n in k
6.207 * [backup-simplify]: Simplify n into n
6.207 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.207 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
6.207 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
6.208 * [backup-simplify]: Simplify (- 1) into -1
6.208 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.209 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
6.209 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
6.209 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
6.209 * [taylor]: Taking taylor expansion of (sqrt k) in k
6.209 * [taylor]: Taking taylor expansion of k in k
6.209 * [backup-simplify]: Simplify 0 into 0
6.209 * [backup-simplify]: Simplify 1 into 1
6.210 * [backup-simplify]: Simplify (sqrt 0) into 0
6.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.211 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
6.211 * [taylor]: Taking taylor expansion of 0 in n
6.211 * [backup-simplify]: Simplify 0 into 0
6.211 * [backup-simplify]: Simplify 0 into 0
6.212 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
6.212 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
6.212 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
6.212 * [taylor]: Taking taylor expansion of +nan.0 in n
6.212 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.212 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
6.212 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
6.212 * [taylor]: Taking taylor expansion of 1/2 in n
6.212 * [backup-simplify]: Simplify 1/2 into 1/2
6.212 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
6.212 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
6.212 * [taylor]: Taking taylor expansion of 1 in n
6.212 * [backup-simplify]: Simplify 1 into 1
6.212 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.212 * [taylor]: Taking taylor expansion of k in n
6.212 * [backup-simplify]: Simplify k into k
6.213 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.213 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.213 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.213 * [taylor]: Taking taylor expansion of 2 in n
6.213 * [backup-simplify]: Simplify 2 into 2
6.213 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.213 * [taylor]: Taking taylor expansion of PI in n
6.213 * [backup-simplify]: Simplify PI into PI
6.213 * [taylor]: Taking taylor expansion of n in n
6.213 * [backup-simplify]: Simplify 0 into 0
6.213 * [backup-simplify]: Simplify 1 into 1
6.213 * [backup-simplify]: Simplify (/ PI 1) into PI
6.214 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.215 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.215 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
6.215 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
6.216 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.218 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
6.219 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
6.220 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
6.221 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
6.223 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
6.224 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
6.224 * [backup-simplify]: Simplify 0 into 0
6.227 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.228 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
6.228 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
6.228 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
6.228 * [taylor]: Taking taylor expansion of +nan.0 in n
6.228 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.228 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
6.228 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
6.228 * [taylor]: Taking taylor expansion of 1/2 in n
6.228 * [backup-simplify]: Simplify 1/2 into 1/2
6.229 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
6.229 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
6.229 * [taylor]: Taking taylor expansion of 1 in n
6.229 * [backup-simplify]: Simplify 1 into 1
6.229 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.229 * [taylor]: Taking taylor expansion of k in n
6.229 * [backup-simplify]: Simplify k into k
6.229 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.229 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.229 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.229 * [taylor]: Taking taylor expansion of 2 in n
6.229 * [backup-simplify]: Simplify 2 into 2
6.229 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.229 * [taylor]: Taking taylor expansion of PI in n
6.229 * [backup-simplify]: Simplify PI into PI
6.229 * [taylor]: Taking taylor expansion of n in n
6.229 * [backup-simplify]: Simplify 0 into 0
6.229 * [backup-simplify]: Simplify 1 into 1
6.230 * [backup-simplify]: Simplify (/ PI 1) into PI
6.230 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.231 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.231 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
6.231 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
6.233 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.234 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
6.235 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
6.236 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
6.237 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
6.239 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
6.240 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
6.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.242 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
6.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
6.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.244 * [backup-simplify]: Simplify (- 0) into 0
6.245 * [backup-simplify]: Simplify (+ 0 0) into 0
6.246 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.248 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
6.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
6.251 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.253 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
6.253 * [backup-simplify]: Simplify (- 0) into 0
6.253 * [backup-simplify]: Simplify 0 into 0
6.253 * [backup-simplify]: Simplify 0 into 0
6.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.259 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
6.259 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
6.259 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
6.259 * [taylor]: Taking taylor expansion of +nan.0 in n
6.259 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.259 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
6.259 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
6.259 * [taylor]: Taking taylor expansion of 1/2 in n
6.259 * [backup-simplify]: Simplify 1/2 into 1/2
6.259 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
6.259 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
6.259 * [taylor]: Taking taylor expansion of 1 in n
6.260 * [backup-simplify]: Simplify 1 into 1
6.260 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.260 * [taylor]: Taking taylor expansion of k in n
6.260 * [backup-simplify]: Simplify k into k
6.260 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.260 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.260 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.260 * [taylor]: Taking taylor expansion of 2 in n
6.260 * [backup-simplify]: Simplify 2 into 2
6.260 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.260 * [taylor]: Taking taylor expansion of PI in n
6.260 * [backup-simplify]: Simplify PI into PI
6.260 * [taylor]: Taking taylor expansion of n in n
6.260 * [backup-simplify]: Simplify 0 into 0
6.260 * [backup-simplify]: Simplify 1 into 1
6.261 * [backup-simplify]: Simplify (/ PI 1) into PI
6.261 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.262 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.263 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
6.263 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
6.264 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.266 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
6.267 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
6.268 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
6.270 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
6.271 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
6.272 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
6.277 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
6.277 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
6.277 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
6.278 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
6.278 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
6.278 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
6.278 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
6.278 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
6.278 * [taylor]: Taking taylor expansion of 1/2 in n
6.278 * [backup-simplify]: Simplify 1/2 into 1/2
6.278 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
6.278 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.278 * [taylor]: Taking taylor expansion of k in n
6.278 * [backup-simplify]: Simplify k into k
6.278 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.278 * [taylor]: Taking taylor expansion of 1 in n
6.278 * [backup-simplify]: Simplify 1 into 1
6.278 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.278 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.278 * [taylor]: Taking taylor expansion of -2 in n
6.278 * [backup-simplify]: Simplify -2 into -2
6.278 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.278 * [taylor]: Taking taylor expansion of PI in n
6.278 * [backup-simplify]: Simplify PI into PI
6.278 * [taylor]: Taking taylor expansion of n in n
6.278 * [backup-simplify]: Simplify 0 into 0
6.278 * [backup-simplify]: Simplify 1 into 1
6.279 * [backup-simplify]: Simplify (/ PI 1) into PI
6.279 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.280 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.280 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
6.281 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
6.282 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.283 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
6.284 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
6.284 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
6.285 * [taylor]: Taking taylor expansion of (/ -1 k) in n
6.285 * [taylor]: Taking taylor expansion of -1 in n
6.285 * [backup-simplify]: Simplify -1 into -1
6.285 * [taylor]: Taking taylor expansion of k in n
6.285 * [backup-simplify]: Simplify k into k
6.285 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
6.285 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
6.285 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
6.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
6.286 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
6.286 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
6.286 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
6.286 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
6.286 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
6.287 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
6.287 * [taylor]: Taking taylor expansion of 1/2 in k
6.287 * [backup-simplify]: Simplify 1/2 into 1/2
6.287 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
6.287 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.287 * [taylor]: Taking taylor expansion of k in k
6.287 * [backup-simplify]: Simplify 0 into 0
6.287 * [backup-simplify]: Simplify 1 into 1
6.287 * [backup-simplify]: Simplify (/ 1 1) into 1
6.287 * [taylor]: Taking taylor expansion of 1 in k
6.287 * [backup-simplify]: Simplify 1 into 1
6.287 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
6.287 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
6.287 * [taylor]: Taking taylor expansion of -2 in k
6.287 * [backup-simplify]: Simplify -2 into -2
6.287 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.287 * [taylor]: Taking taylor expansion of PI in k
6.287 * [backup-simplify]: Simplify PI into PI
6.287 * [taylor]: Taking taylor expansion of n in k
6.287 * [backup-simplify]: Simplify n into n
6.288 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.288 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
6.288 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
6.288 * [backup-simplify]: Simplify (+ 1 0) into 1
6.289 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.289 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
6.289 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
6.289 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
6.289 * [taylor]: Taking taylor expansion of (/ -1 k) in k
6.289 * [taylor]: Taking taylor expansion of -1 in k
6.289 * [backup-simplify]: Simplify -1 into -1
6.289 * [taylor]: Taking taylor expansion of k in k
6.289 * [backup-simplify]: Simplify 0 into 0
6.289 * [backup-simplify]: Simplify 1 into 1
6.290 * [backup-simplify]: Simplify (/ -1 1) into -1
6.291 * [backup-simplify]: Simplify (sqrt 0) into 0
6.292 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
6.293 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
6.293 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
6.293 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
6.293 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
6.293 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
6.293 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
6.293 * [taylor]: Taking taylor expansion of 1/2 in k
6.293 * [backup-simplify]: Simplify 1/2 into 1/2
6.293 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
6.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.293 * [taylor]: Taking taylor expansion of k in k
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 1 into 1
6.300 * [backup-simplify]: Simplify (/ 1 1) into 1
6.300 * [taylor]: Taking taylor expansion of 1 in k
6.300 * [backup-simplify]: Simplify 1 into 1
6.300 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
6.300 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
6.300 * [taylor]: Taking taylor expansion of -2 in k
6.300 * [backup-simplify]: Simplify -2 into -2
6.300 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.300 * [taylor]: Taking taylor expansion of PI in k
6.300 * [backup-simplify]: Simplify PI into PI
6.300 * [taylor]: Taking taylor expansion of n in k
6.300 * [backup-simplify]: Simplify n into n
6.300 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.300 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
6.300 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
6.301 * [backup-simplify]: Simplify (+ 1 0) into 1
6.302 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.302 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
6.302 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
6.302 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
6.302 * [taylor]: Taking taylor expansion of (/ -1 k) in k
6.302 * [taylor]: Taking taylor expansion of -1 in k
6.302 * [backup-simplify]: Simplify -1 into -1
6.302 * [taylor]: Taking taylor expansion of k in k
6.302 * [backup-simplify]: Simplify 0 into 0
6.302 * [backup-simplify]: Simplify 1 into 1
6.303 * [backup-simplify]: Simplify (/ -1 1) into -1
6.303 * [backup-simplify]: Simplify (sqrt 0) into 0
6.305 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
6.305 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
6.306 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
6.306 * [taylor]: Taking taylor expansion of +nan.0 in n
6.306 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.306 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
6.306 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
6.306 * [taylor]: Taking taylor expansion of 1/2 in n
6.306 * [backup-simplify]: Simplify 1/2 into 1/2
6.306 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
6.306 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.306 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.306 * [taylor]: Taking taylor expansion of -2 in n
6.306 * [backup-simplify]: Simplify -2 into -2
6.306 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.306 * [taylor]: Taking taylor expansion of PI in n
6.306 * [backup-simplify]: Simplify PI into PI
6.306 * [taylor]: Taking taylor expansion of n in n
6.306 * [backup-simplify]: Simplify 0 into 0
6.306 * [backup-simplify]: Simplify 1 into 1
6.307 * [backup-simplify]: Simplify (/ PI 1) into PI
6.307 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.308 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.308 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
6.308 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.308 * [taylor]: Taking taylor expansion of k in n
6.308 * [backup-simplify]: Simplify k into k
6.308 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.308 * [taylor]: Taking taylor expansion of 1 in n
6.308 * [backup-simplify]: Simplify 1 into 1
6.310 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.310 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
6.312 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
6.313 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
6.314 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
6.315 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
6.317 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
6.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.321 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.323 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
6.323 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
6.323 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
6.323 * [taylor]: Taking taylor expansion of +nan.0 in n
6.323 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.323 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
6.323 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
6.323 * [taylor]: Taking taylor expansion of 1/2 in n
6.323 * [backup-simplify]: Simplify 1/2 into 1/2
6.323 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
6.323 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.323 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.323 * [taylor]: Taking taylor expansion of -2 in n
6.323 * [backup-simplify]: Simplify -2 into -2
6.323 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.323 * [taylor]: Taking taylor expansion of PI in n
6.323 * [backup-simplify]: Simplify PI into PI
6.323 * [taylor]: Taking taylor expansion of n in n
6.323 * [backup-simplify]: Simplify 0 into 0
6.323 * [backup-simplify]: Simplify 1 into 1
6.324 * [backup-simplify]: Simplify (/ PI 1) into PI
6.324 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.326 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.326 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
6.326 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.326 * [taylor]: Taking taylor expansion of k in n
6.326 * [backup-simplify]: Simplify k into k
6.326 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.326 * [taylor]: Taking taylor expansion of 1 in n
6.326 * [backup-simplify]: Simplify 1 into 1
6.328 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.328 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
6.329 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
6.331 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
6.332 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
6.333 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
6.334 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
6.336 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
6.337 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.338 * [backup-simplify]: Simplify (+ 0 0) into 0
6.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.340 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
6.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
6.343 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
6.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
6.347 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.348 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
6.348 * [backup-simplify]: Simplify 0 into 0
6.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.356 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
6.356 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
6.356 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
6.356 * [taylor]: Taking taylor expansion of +nan.0 in n
6.356 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.356 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
6.356 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
6.356 * [taylor]: Taking taylor expansion of 1/2 in n
6.356 * [backup-simplify]: Simplify 1/2 into 1/2
6.356 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
6.356 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.356 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.356 * [taylor]: Taking taylor expansion of -2 in n
6.356 * [backup-simplify]: Simplify -2 into -2
6.356 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.356 * [taylor]: Taking taylor expansion of PI in n
6.356 * [backup-simplify]: Simplify PI into PI
6.356 * [taylor]: Taking taylor expansion of n in n
6.356 * [backup-simplify]: Simplify 0 into 0
6.356 * [backup-simplify]: Simplify 1 into 1
6.357 * [backup-simplify]: Simplify (/ PI 1) into PI
6.357 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.358 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.359 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
6.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.359 * [taylor]: Taking taylor expansion of k in n
6.359 * [backup-simplify]: Simplify k into k
6.359 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.359 * [taylor]: Taking taylor expansion of 1 in n
6.359 * [backup-simplify]: Simplify 1 into 1
6.360 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.360 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
6.361 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
6.362 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
6.363 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
6.364 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
6.364 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
6.365 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
6.367 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
6.368 * * * [progress]: simplifying candidates
6.368 * * * * [progress]: [ 1 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
6.368 * * * * [progress]: [ 2 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
6.368 * * * * [progress]: [ 3 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
6.368 * * * * [progress]: [ 4 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
6.368 * * * * [progress]: [ 5 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
6.368 * * * * [progress]: [ 6 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
6.368 * * * * [progress]: [ 7 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
6.368 * * * * [progress]: [ 8 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
6.368 * * * * [progress]: [ 9 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
6.368 * * * * [progress]: [ 10 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
6.368 * * * * [progress]: [ 11 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
6.368 * * * * [progress]: [ 12 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
6.368 * * * * [progress]: [ 13 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
6.368 * * * * [progress]: [ 14 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
6.368 * * * * [progress]: [ 15 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
6.368 * * * * [progress]: [ 16 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
6.368 * * * * [progress]: [ 17 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
6.368 * * * * [progress]: [ 18 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
6.368 * * * * [progress]: [ 19 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
6.368 * * * * [progress]: [ 20 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
6.369 * * * * [progress]: [ 21 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
6.369 * * * * [progress]: [ 22 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
6.369 * * * * [progress]: [ 23 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
6.369 * * * * [progress]: [ 24 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
6.369 * * * * [progress]: [ 25 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
6.369 * * * * [progress]: [ 26 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
6.369 * * * * [progress]: [ 27 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
6.369 * * * * [progress]: [ 28 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
6.369 * * * * [progress]: [ 29 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
6.369 * * * * [progress]: [ 30 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
6.369 * * * * [progress]: [ 31 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
6.369 * * * * [progress]: [ 32 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
6.369 * * * * [progress]: [ 33 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
6.369 * * * * [progress]: [ 34 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
6.369 * * * * [progress]: [ 35 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
6.369 * * * * [progress]: [ 36 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
6.369 * * * * [progress]: [ 37 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
6.369 * * * * [progress]: [ 38 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
6.369 * * * * [progress]: [ 39 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
6.369 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
6.369 * * * * [progress]: [ 41 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.369 * * * * [progress]: [ 42 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.369 * * * * [progress]: [ 43 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.369 * * * * [progress]: [ 44 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- (/ 1 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 45 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 46 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 47 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- 0 (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 48 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1) (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 49 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 50 / 188 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 51 / 188 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 52 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 53 / 188 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 54 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 55 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 56 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 57 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 58 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 59 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 60 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 61 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 62 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 63 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 64 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 65 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 66 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.370 * * * * [progress]: [ 67 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.371 * * * * [progress]: [ 68 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.371 * * * * [progress]: [ 69 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
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6.371 * * * * [progress]: [ 71 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
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6.371 * * * * [progress]: [ 78 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
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6.371 * * * * [progress]: [ 86 / 188 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.371 * * * * [progress]: [ 87 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
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6.371 * * * * [progress]: [ 90 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))>
6.371 * * * * [progress]: [ 91 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))>
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6.371 * * * * [progress]: [ 94 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
6.372 * * * * [progress]: [ 95 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
6.372 * * * * [progress]: [ 96 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
6.372 * * * * [progress]: [ 97 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
6.372 * * * * [progress]: [ 98 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
6.372 * * * * [progress]: [ 99 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
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6.372 * * * * [progress]: [ 101 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))>
6.372 * * * * [progress]: [ 102 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))>
6.372 * * * * [progress]: [ 103 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
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6.372 * * * * [progress]: [ 105 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
6.372 * * * * [progress]: [ 106 / 188 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
6.372 * * * * [progress]: [ 107 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
6.372 * * * * [progress]: [ 108 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
6.372 * * * * [progress]: [ 109 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
6.372 * * * * [progress]: [ 110 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
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6.372 * * * * [progress]: [ 112 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
6.372 * * * * [progress]: [ 113 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
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6.372 * * * * [progress]: [ 117 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
6.372 * * * * [progress]: [ 118 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
6.372 * * * * [progress]: [ 119 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
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6.373 * * * * [progress]: [ 122 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
6.373 * * * * [progress]: [ 123 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
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6.373 * * * * [progress]: [ 127 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
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6.373 * * * * [progress]: [ 129 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
6.373 * * * * [progress]: [ 130 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
6.373 * * * * [progress]: [ 131 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
6.373 * * * * [progress]: [ 132 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
6.373 * * * * [progress]: [ 133 / 188 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
6.373 * * * * [progress]: [ 134 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))>
6.373 * * * * [progress]: [ 135 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
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6.373 * * * * [progress]: [ 137 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
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6.373 * * * * [progress]: [ 146 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
6.373 * * * * [progress]: [ 147 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
6.374 * * * * [progress]: [ 148 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
6.374 * * * * [progress]: [ 149 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
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6.374 * * * * [progress]: [ 151 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
6.374 * * * * [progress]: [ 152 / 188 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
6.374 * * * * [progress]: [ 153 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
6.374 * * * * [progress]: [ 154 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
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6.374 * * * * [progress]: [ 156 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
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6.374 * * * * [progress]: [ 158 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
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6.374 * * * * [progress]: [ 164 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
6.374 * * * * [progress]: [ 165 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
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6.374 * * * * [progress]: [ 171 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
6.374 * * * * [progress]: [ 172 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
6.375 * * * * [progress]: [ 173 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
6.375 * * * * [progress]: [ 174 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))>
6.375 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
6.375 * * * * [progress]: [ 176 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
6.375 * * * * [progress]: [ 177 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))))>
6.375 * * * * [progress]: [ 178 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
6.375 * * * * [progress]: [ 179 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
6.375 * * * * [progress]: [ 180 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.375 * * * * [progress]: [ 181 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.375 * * * * [progress]: [ 182 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
6.375 * * * * [progress]: [ 183 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
6.375 * * * * [progress]: [ 184 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
6.375 * * * * [progress]: [ 185 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
6.375 * * * * [progress]: [ 186 / 188 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
6.375 * * * * [progress]: [ 187 / 188 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
6.375 * * * * [progress]: [ 188 / 188 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
6.377 * [simplify]: Simplifying:
  (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))
  (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* (* 2 PI) n) (/ 1 2))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) 1)
  (pow (* (* 2 PI) n) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (- 1/2)
  (- 1)
  (- (/ 1 2))
  (- (log (sqrt k)))
  (- 0 (log (sqrt k)))
  (- (log 1) (log (sqrt k)))
  (log (/ 1 (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (- 1)
  (- (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1) (cbrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1) (sqrt (cbrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (sqrt k))
  (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1) (cbrt (sqrt k)))
  (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1)
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ (sqrt k) (cbrt 1))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) 1)
  (real->posit16 (/ 1 (sqrt k)))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (+ (+ (log 2) (log PI)) (log n))
  (+ (log (* 2 PI)) (log n))
  (log (* (* 2 PI) n))
  (exp (* (* 2 PI) n))
  (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* 2 PI) (* (cbrt n) (cbrt n)))
  (* (* 2 PI) (sqrt n))
  (* (* 2 PI) 1)
  (* PI n)
  (real->posit16 (* (* 2 PI) n))
  (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* 1 (pow (* (* 2 PI) n) (/ 1 2)))
  (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) 1)
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2)))
  (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
6.380 * * [simplify]: iteration 1: (345 enodes)
6.514 * * [simplify]: iteration 2: (1509 enodes)
7.000 * * [simplify]: Extracting #0: cost 127 inf + 0
7.003 * * [simplify]: Extracting #1: cost 664 inf + 1
7.008 * * [simplify]: Extracting #2: cost 1065 inf + 7034
7.026 * * [simplify]: Extracting #3: cost 1112 inf + 48106
7.071 * * [simplify]: Extracting #4: cost 654 inf + 215381
7.170 * * [simplify]: Extracting #5: cost 250 inf + 381302
7.236 * * [simplify]: Extracting #6: cost 83 inf + 454141
7.328 * * [simplify]: Extracting #7: cost 37 inf + 474571
7.439 * * [simplify]: Extracting #8: cost 6 inf + 491781
7.559 * * [simplify]: Extracting #9: cost 0 inf + 495528
7.706 * * [simplify]: Extracting #10: cost 0 inf + 495448
7.830 * [simplify]: Simplified to:
  (* (/ (- 1 k) 2) (log (* (* 2 PI) n)))
  (* (/ (- 1 k) 2) (log (* (* 2 PI) n)))
  (* (/ (- 1 k) 2) (log (* (* 2 PI) n)))
  (* (/ (- 1 k) 2) (log (* (* 2 PI) n)))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (pow (* (* 2 PI) n) (/ 1 2))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k))))
  (pow (* (* 2 PI) n) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (sqrt (- 1 k)))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (* (* 2 PI) n)
  (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (+ (sqrt 1) (sqrt k)))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (+ 1 (sqrt k)))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (pow (* (* 2 PI) n) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* (* 2 PI) n)))
  (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 3)
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (- 1/2)
  (- 1)
  (- (/ 1 2))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (/ 1 k) (sqrt k))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (/ (/ (/ 1 (sqrt k)) (sqrt k)) (sqrt k))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (- 1)
  (- (sqrt k))
  (* (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (cbrt (sqrt k))))
  (/ (cbrt 1) (cbrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (fabs (cbrt k)))
  (/ (cbrt 1) (sqrt (cbrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (cbrt 1) (/ (sqrt 1) (cbrt 1)))
  (/ (cbrt 1) (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (* (cbrt 1) (cbrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (/ (sqrt 1) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt 1) (cbrt (sqrt k)))
  (/ (sqrt 1) (fabs (cbrt k)))
  (/ (sqrt 1) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  1
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (sqrt 1)
  (/ (sqrt 1) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (sqrt k)
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ (sqrt k) (cbrt 1))
  (/ (sqrt k) (sqrt 1))
  (sqrt k)
  (real->posit16 (/ 1 (sqrt k)))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (log (* (* 2 PI) n))
  (log (* (* 2 PI) n))
  (log (* (* 2 PI) n))
  (exp (* (* 2 PI) n))
  (* (* n (* n n)) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (* n (* n n)) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* 2 PI) n) (* (* (* 2 PI) n) (* (* 2 PI) n)))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* (cbrt n) (cbrt n)) (* 2 PI))
  (* PI (* 2 (sqrt n)))
  (* 2 PI)
  (* PI n)
  (real->posit16 (* (* 2 PI) n))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k)))
  (exp (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))
  (/ (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 3) (* (sqrt k) k))
  (* (/ (/ (/ 1 (sqrt k)) (sqrt k)) (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 3))
  (* (cbrt (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))
  (pow (* (* 2 PI) n) (/ 1 2))
  (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k))))
  (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k))))
  (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt k))
  (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (sqrt k))
  (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (/ 1 (sqrt k))))
  (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k))))
  (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ (cbrt 1) (sqrt (cbrt k))))
  (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (/ (* (sqrt 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (* (sqrt 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (* (sqrt 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt k)))
  (/ (* (sqrt 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt k)))
  (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* 2 PI) n) (/ 1 2)) (sqrt k))
  (pow (* (* 2 PI) n) (/ (- 1 k) 2))
  (real->posit16 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))
  (- (+ (+ (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* k (log n)) (* k (log n))) (* 1/8 (exp (* (log (* (* 2 PI) n)) 1/2))))) (+ (* (* 1/8 (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* k k))) (* (log (* 2 PI)) (log (* 2 PI)))) (* (* (* (log (* 2 PI)) 1/4) (exp (* (log (* (* 2 PI) n)) 1/2))) (* (log n) (* k k))))) (* 1/2 (* k (+ (* (exp (* (log (* (* 2 PI) n)) 1/2)) (log n)) (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/2)))))))
  (exp (* (* (- 1 k) 1/2) (log (* (* 2 PI) n))))
  (exp (* 1/2 (* (- 1 k) (- (log (* PI -2)) (log (/ -1 n))))))
  (- (+ (- (* (* k k) +nan.0) +nan.0) (* k +nan.0)))
  (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ +nan.0 (* (* k k) k))))
  (+ (- (/ +nan.0 k) +nan.0) (- (/ +nan.0 (* k k))))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (- (- (* (* (* (* PI n) k) (sqrt 2)) +nan.0) (+ (- (* (* +nan.0 (* PI n)) (sqrt 2)) (* (* (* (* (* PI n) k) (sqrt 2)) +nan.0) (log (* 2 PI)))) (* +nan.0 (- (* (* (sqrt 2) (* PI n)) (* k (log n))) (* (* (* PI n) (* PI n)) (sqrt 2)))))))
  (+ (* +nan.0 (- (/ (exp (* (* (- 1 k) 1/2) (log (* (* 2 PI) n)))) (* k k)) (/ (/ (exp (* (* (- 1 k) 1/2) (log (* (* 2 PI) n)))) k) (* k k)))) (* (- (/ (exp (* (* (- 1 k) 1/2) (log (* (* 2 PI) n)))) k)) +nan.0))
  (+ (- (/ (exp (* 1/2 (* (- 1 k) (- (log (* PI -2)) (log (/ -1 n)))))) (/ (* k k) +nan.0)) (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* PI -2)) (log (/ -1 n)))))))) (/ (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* PI -2)) (log (/ -1 n)))))))) k))
7.844 * * * [progress]: adding candidates to table
10.280 * * [progress]: iteration 3 / 4
10.280 * * * [progress]: picking best candidate
10.330 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
10.330 * * * [progress]: localizing error
10.407 * * * [progress]: generating rewritten candidates
10.407 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
10.435 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
10.464 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
10.517 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1)
10.534 * * * [progress]: generating series expansions
10.535 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
10.535 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
10.535 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
10.535 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
10.535 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
10.535 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
10.535 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
10.535 * [taylor]: Taking taylor expansion of 1/4 in k
10.535 * [backup-simplify]: Simplify 1/4 into 1/4
10.536 * [taylor]: Taking taylor expansion of (- 1 k) in k
10.536 * [taylor]: Taking taylor expansion of 1 in k
10.536 * [backup-simplify]: Simplify 1 into 1
10.536 * [taylor]: Taking taylor expansion of k in k
10.536 * [backup-simplify]: Simplify 0 into 0
10.536 * [backup-simplify]: Simplify 1 into 1
10.536 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
10.536 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
10.536 * [taylor]: Taking taylor expansion of 2 in k
10.536 * [backup-simplify]: Simplify 2 into 2
10.536 * [taylor]: Taking taylor expansion of (* n PI) in k
10.536 * [taylor]: Taking taylor expansion of n in k
10.536 * [backup-simplify]: Simplify n into n
10.536 * [taylor]: Taking taylor expansion of PI in k
10.536 * [backup-simplify]: Simplify PI into PI
10.536 * [backup-simplify]: Simplify (* n PI) into (* n PI)
10.536 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
10.536 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
10.536 * [backup-simplify]: Simplify (- 0) into 0
10.536 * [backup-simplify]: Simplify (+ 1 0) into 1
10.537 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
10.537 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
10.537 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
10.537 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
10.537 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
10.537 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
10.537 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
10.537 * [taylor]: Taking taylor expansion of 1/4 in n
10.537 * [backup-simplify]: Simplify 1/4 into 1/4
10.537 * [taylor]: Taking taylor expansion of (- 1 k) in n
10.537 * [taylor]: Taking taylor expansion of 1 in n
10.537 * [backup-simplify]: Simplify 1 into 1
10.537 * [taylor]: Taking taylor expansion of k in n
10.537 * [backup-simplify]: Simplify k into k
10.537 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.537 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.537 * [taylor]: Taking taylor expansion of 2 in n
10.537 * [backup-simplify]: Simplify 2 into 2
10.537 * [taylor]: Taking taylor expansion of (* n PI) in n
10.537 * [taylor]: Taking taylor expansion of n in n
10.537 * [backup-simplify]: Simplify 0 into 0
10.537 * [backup-simplify]: Simplify 1 into 1
10.537 * [taylor]: Taking taylor expansion of PI in n
10.537 * [backup-simplify]: Simplify PI into PI
10.538 * [backup-simplify]: Simplify (* 0 PI) into 0
10.538 * [backup-simplify]: Simplify (* 2 0) into 0
10.539 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.540 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.540 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.540 * [backup-simplify]: Simplify (- k) into (- k)
10.540 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
10.541 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
10.541 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.542 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
10.543 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
10.543 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
10.543 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
10.543 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
10.543 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
10.543 * [taylor]: Taking taylor expansion of 1/4 in n
10.543 * [backup-simplify]: Simplify 1/4 into 1/4
10.543 * [taylor]: Taking taylor expansion of (- 1 k) in n
10.543 * [taylor]: Taking taylor expansion of 1 in n
10.543 * [backup-simplify]: Simplify 1 into 1
10.543 * [taylor]: Taking taylor expansion of k in n
10.543 * [backup-simplify]: Simplify k into k
10.543 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.543 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.543 * [taylor]: Taking taylor expansion of 2 in n
10.543 * [backup-simplify]: Simplify 2 into 2
10.543 * [taylor]: Taking taylor expansion of (* n PI) in n
10.543 * [taylor]: Taking taylor expansion of n in n
10.543 * [backup-simplify]: Simplify 0 into 0
10.543 * [backup-simplify]: Simplify 1 into 1
10.543 * [taylor]: Taking taylor expansion of PI in n
10.543 * [backup-simplify]: Simplify PI into PI
10.543 * [backup-simplify]: Simplify (* 0 PI) into 0
10.544 * [backup-simplify]: Simplify (* 2 0) into 0
10.545 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.546 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.546 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.546 * [backup-simplify]: Simplify (- k) into (- k)
10.546 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
10.546 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
10.547 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.548 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
10.549 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
10.549 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
10.549 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
10.549 * [taylor]: Taking taylor expansion of 1/4 in k
10.549 * [backup-simplify]: Simplify 1/4 into 1/4
10.549 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
10.549 * [taylor]: Taking taylor expansion of (- 1 k) in k
10.549 * [taylor]: Taking taylor expansion of 1 in k
10.549 * [backup-simplify]: Simplify 1 into 1
10.549 * [taylor]: Taking taylor expansion of k in k
10.549 * [backup-simplify]: Simplify 0 into 0
10.549 * [backup-simplify]: Simplify 1 into 1
10.549 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
10.549 * [taylor]: Taking taylor expansion of (log n) in k
10.549 * [taylor]: Taking taylor expansion of n in k
10.549 * [backup-simplify]: Simplify n into n
10.549 * [backup-simplify]: Simplify (log n) into (log n)
10.549 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.549 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.549 * [taylor]: Taking taylor expansion of 2 in k
10.549 * [backup-simplify]: Simplify 2 into 2
10.549 * [taylor]: Taking taylor expansion of PI in k
10.549 * [backup-simplify]: Simplify PI into PI
10.549 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.550 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.550 * [backup-simplify]: Simplify (- 0) into 0
10.550 * [backup-simplify]: Simplify (+ 1 0) into 1
10.551 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.552 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
10.552 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
10.553 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
10.554 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
10.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
10.555 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
10.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.556 * [backup-simplify]: Simplify (- 0) into 0
10.557 * [backup-simplify]: Simplify (+ 0 0) into 0
10.557 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
10.558 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.559 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
10.560 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.560 * [taylor]: Taking taylor expansion of 0 in k
10.560 * [backup-simplify]: Simplify 0 into 0
10.560 * [backup-simplify]: Simplify 0 into 0
10.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
10.561 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.562 * [backup-simplify]: Simplify (+ 0 0) into 0
10.562 * [backup-simplify]: Simplify (- 1) into -1
10.563 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.563 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
10.565 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
10.567 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
10.569 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
10.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
10.570 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
10.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.572 * [backup-simplify]: Simplify (- 0) into 0
10.572 * [backup-simplify]: Simplify (+ 0 0) into 0
10.573 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
10.574 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.575 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.576 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.576 * [taylor]: Taking taylor expansion of 0 in k
10.576 * [backup-simplify]: Simplify 0 into 0
10.576 * [backup-simplify]: Simplify 0 into 0
10.576 * [backup-simplify]: Simplify 0 into 0
10.577 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
10.578 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.588 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.589 * [backup-simplify]: Simplify (+ 0 0) into 0
10.590 * [backup-simplify]: Simplify (- 0) into 0
10.590 * [backup-simplify]: Simplify (+ 0 0) into 0
10.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.595 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.598 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
10.601 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
10.607 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
10.608 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
10.608 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
10.608 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
10.608 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
10.608 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
10.608 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
10.608 * [taylor]: Taking taylor expansion of 1/4 in k
10.608 * [backup-simplify]: Simplify 1/4 into 1/4
10.608 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
10.608 * [taylor]: Taking taylor expansion of 1 in k
10.608 * [backup-simplify]: Simplify 1 into 1
10.608 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.608 * [taylor]: Taking taylor expansion of k in k
10.608 * [backup-simplify]: Simplify 0 into 0
10.608 * [backup-simplify]: Simplify 1 into 1
10.608 * [backup-simplify]: Simplify (/ 1 1) into 1
10.608 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
10.608 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
10.608 * [taylor]: Taking taylor expansion of 2 in k
10.608 * [backup-simplify]: Simplify 2 into 2
10.608 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.608 * [taylor]: Taking taylor expansion of PI in k
10.608 * [backup-simplify]: Simplify PI into PI
10.608 * [taylor]: Taking taylor expansion of n in k
10.608 * [backup-simplify]: Simplify n into n
10.608 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.609 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
10.609 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
10.609 * [backup-simplify]: Simplify (- 1) into -1
10.609 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.609 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
10.609 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
10.610 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
10.610 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
10.610 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.610 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.610 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
10.610 * [taylor]: Taking taylor expansion of 1/4 in n
10.610 * [backup-simplify]: Simplify 1/4 into 1/4
10.610 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
10.610 * [taylor]: Taking taylor expansion of 1 in n
10.610 * [backup-simplify]: Simplify 1 into 1
10.610 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.610 * [taylor]: Taking taylor expansion of k in n
10.610 * [backup-simplify]: Simplify k into k
10.610 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.610 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.610 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.610 * [taylor]: Taking taylor expansion of 2 in n
10.610 * [backup-simplify]: Simplify 2 into 2
10.610 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.610 * [taylor]: Taking taylor expansion of PI in n
10.610 * [backup-simplify]: Simplify PI into PI
10.610 * [taylor]: Taking taylor expansion of n in n
10.610 * [backup-simplify]: Simplify 0 into 0
10.610 * [backup-simplify]: Simplify 1 into 1
10.610 * [backup-simplify]: Simplify (/ PI 1) into PI
10.611 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.611 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.611 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
10.611 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
10.611 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
10.612 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.613 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
10.614 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
10.614 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
10.614 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.614 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.614 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
10.614 * [taylor]: Taking taylor expansion of 1/4 in n
10.614 * [backup-simplify]: Simplify 1/4 into 1/4
10.614 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
10.614 * [taylor]: Taking taylor expansion of 1 in n
10.614 * [backup-simplify]: Simplify 1 into 1
10.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.614 * [taylor]: Taking taylor expansion of k in n
10.614 * [backup-simplify]: Simplify k into k
10.614 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.614 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.614 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.614 * [taylor]: Taking taylor expansion of 2 in n
10.614 * [backup-simplify]: Simplify 2 into 2
10.614 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.614 * [taylor]: Taking taylor expansion of PI in n
10.614 * [backup-simplify]: Simplify PI into PI
10.614 * [taylor]: Taking taylor expansion of n in n
10.614 * [backup-simplify]: Simplify 0 into 0
10.614 * [backup-simplify]: Simplify 1 into 1
10.614 * [backup-simplify]: Simplify (/ PI 1) into PI
10.615 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.615 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.615 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
10.615 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
10.616 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
10.616 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.617 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
10.618 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
10.618 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
10.618 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
10.618 * [taylor]: Taking taylor expansion of 1/4 in k
10.618 * [backup-simplify]: Simplify 1/4 into 1/4
10.618 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
10.618 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
10.618 * [taylor]: Taking taylor expansion of 1 in k
10.618 * [backup-simplify]: Simplify 1 into 1
10.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.618 * [taylor]: Taking taylor expansion of k in k
10.618 * [backup-simplify]: Simplify 0 into 0
10.618 * [backup-simplify]: Simplify 1 into 1
10.618 * [backup-simplify]: Simplify (/ 1 1) into 1
10.618 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
10.618 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.618 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.618 * [taylor]: Taking taylor expansion of 2 in k
10.619 * [backup-simplify]: Simplify 2 into 2
10.619 * [taylor]: Taking taylor expansion of PI in k
10.619 * [backup-simplify]: Simplify PI into PI
10.619 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.619 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.619 * [taylor]: Taking taylor expansion of (log n) in k
10.619 * [taylor]: Taking taylor expansion of n in k
10.619 * [backup-simplify]: Simplify n into n
10.620 * [backup-simplify]: Simplify (log n) into (log n)
10.620 * [backup-simplify]: Simplify (- 1) into -1
10.620 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.620 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.621 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
10.621 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
10.622 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
10.623 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
10.623 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
10.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.624 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.626 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.626 * [backup-simplify]: Simplify (- 0) into 0
10.627 * [backup-simplify]: Simplify (+ 0 0) into 0
10.627 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
10.628 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.630 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
10.632 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.632 * [taylor]: Taking taylor expansion of 0 in k
10.632 * [backup-simplify]: Simplify 0 into 0
10.632 * [backup-simplify]: Simplify 0 into 0
10.632 * [backup-simplify]: Simplify 0 into 0
10.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.637 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.638 * [backup-simplify]: Simplify (- 0) into 0
10.638 * [backup-simplify]: Simplify (+ 0 0) into 0
10.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
10.641 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.642 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
10.645 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.645 * [taylor]: Taking taylor expansion of 0 in k
10.645 * [backup-simplify]: Simplify 0 into 0
10.645 * [backup-simplify]: Simplify 0 into 0
10.645 * [backup-simplify]: Simplify 0 into 0
10.645 * [backup-simplify]: Simplify 0 into 0
10.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.653 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
10.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.654 * [backup-simplify]: Simplify (- 0) into 0
10.655 * [backup-simplify]: Simplify (+ 0 0) into 0
10.656 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
10.658 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.660 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
10.663 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.663 * [taylor]: Taking taylor expansion of 0 in k
10.663 * [backup-simplify]: Simplify 0 into 0
10.663 * [backup-simplify]: Simplify 0 into 0
10.664 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
10.665 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
10.665 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
10.665 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
10.665 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
10.665 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
10.665 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
10.665 * [taylor]: Taking taylor expansion of 1/4 in k
10.665 * [backup-simplify]: Simplify 1/4 into 1/4
10.665 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
10.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.665 * [taylor]: Taking taylor expansion of k in k
10.665 * [backup-simplify]: Simplify 0 into 0
10.665 * [backup-simplify]: Simplify 1 into 1
10.666 * [backup-simplify]: Simplify (/ 1 1) into 1
10.666 * [taylor]: Taking taylor expansion of 1 in k
10.666 * [backup-simplify]: Simplify 1 into 1
10.666 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
10.666 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
10.666 * [taylor]: Taking taylor expansion of -2 in k
10.666 * [backup-simplify]: Simplify -2 into -2
10.666 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.666 * [taylor]: Taking taylor expansion of PI in k
10.666 * [backup-simplify]: Simplify PI into PI
10.666 * [taylor]: Taking taylor expansion of n in k
10.666 * [backup-simplify]: Simplify n into n
10.666 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.666 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
10.667 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
10.667 * [backup-simplify]: Simplify (+ 1 0) into 1
10.667 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
10.668 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
10.668 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
10.668 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
10.668 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
10.668 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
10.668 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
10.668 * [taylor]: Taking taylor expansion of 1/4 in n
10.668 * [backup-simplify]: Simplify 1/4 into 1/4
10.668 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
10.668 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.668 * [taylor]: Taking taylor expansion of k in n
10.668 * [backup-simplify]: Simplify k into k
10.668 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.668 * [taylor]: Taking taylor expansion of 1 in n
10.668 * [backup-simplify]: Simplify 1 into 1
10.668 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.668 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.668 * [taylor]: Taking taylor expansion of -2 in n
10.668 * [backup-simplify]: Simplify -2 into -2
10.668 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.668 * [taylor]: Taking taylor expansion of PI in n
10.668 * [backup-simplify]: Simplify PI into PI
10.668 * [taylor]: Taking taylor expansion of n in n
10.668 * [backup-simplify]: Simplify 0 into 0
10.668 * [backup-simplify]: Simplify 1 into 1
10.669 * [backup-simplify]: Simplify (/ PI 1) into PI
10.669 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.670 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.670 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
10.671 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
10.672 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.673 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
10.674 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
10.674 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
10.674 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
10.674 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
10.674 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
10.674 * [taylor]: Taking taylor expansion of 1/4 in n
10.675 * [backup-simplify]: Simplify 1/4 into 1/4
10.675 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
10.675 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.675 * [taylor]: Taking taylor expansion of k in n
10.675 * [backup-simplify]: Simplify k into k
10.675 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.675 * [taylor]: Taking taylor expansion of 1 in n
10.675 * [backup-simplify]: Simplify 1 into 1
10.675 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.675 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.675 * [taylor]: Taking taylor expansion of -2 in n
10.675 * [backup-simplify]: Simplify -2 into -2
10.675 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.675 * [taylor]: Taking taylor expansion of PI in n
10.675 * [backup-simplify]: Simplify PI into PI
10.675 * [taylor]: Taking taylor expansion of n in n
10.675 * [backup-simplify]: Simplify 0 into 0
10.675 * [backup-simplify]: Simplify 1 into 1
10.676 * [backup-simplify]: Simplify (/ PI 1) into PI
10.676 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.677 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.677 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
10.677 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
10.679 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.680 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
10.681 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
10.681 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
10.681 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
10.681 * [taylor]: Taking taylor expansion of 1/4 in k
10.681 * [backup-simplify]: Simplify 1/4 into 1/4
10.681 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
10.681 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
10.682 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.682 * [taylor]: Taking taylor expansion of k in k
10.682 * [backup-simplify]: Simplify 0 into 0
10.682 * [backup-simplify]: Simplify 1 into 1
10.682 * [backup-simplify]: Simplify (/ 1 1) into 1
10.682 * [taylor]: Taking taylor expansion of 1 in k
10.682 * [backup-simplify]: Simplify 1 into 1
10.682 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
10.682 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
10.682 * [taylor]: Taking taylor expansion of (* -2 PI) in k
10.682 * [taylor]: Taking taylor expansion of -2 in k
10.682 * [backup-simplify]: Simplify -2 into -2
10.682 * [taylor]: Taking taylor expansion of PI in k
10.682 * [backup-simplify]: Simplify PI into PI
10.683 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.684 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.684 * [taylor]: Taking taylor expansion of (log n) in k
10.684 * [taylor]: Taking taylor expansion of n in k
10.684 * [backup-simplify]: Simplify n into n
10.684 * [backup-simplify]: Simplify (log n) into (log n)
10.684 * [backup-simplify]: Simplify (+ 1 0) into 1
10.684 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.685 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
10.686 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
10.687 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
10.687 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
10.688 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
10.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.689 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
10.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
10.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.691 * [backup-simplify]: Simplify (+ 0 0) into 0
10.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
10.692 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.692 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
10.694 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.694 * [taylor]: Taking taylor expansion of 0 in k
10.694 * [backup-simplify]: Simplify 0 into 0
10.694 * [backup-simplify]: Simplify 0 into 0
10.694 * [backup-simplify]: Simplify 0 into 0
10.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.695 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
10.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
10.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.697 * [backup-simplify]: Simplify (+ 0 0) into 0
10.698 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
10.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.700 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
10.701 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.701 * [taylor]: Taking taylor expansion of 0 in k
10.701 * [backup-simplify]: Simplify 0 into 0
10.701 * [backup-simplify]: Simplify 0 into 0
10.701 * [backup-simplify]: Simplify 0 into 0
10.701 * [backup-simplify]: Simplify 0 into 0
10.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.707 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.710 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
10.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.711 * [backup-simplify]: Simplify (+ 0 0) into 0
10.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
10.713 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.714 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
10.717 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.718 * [taylor]: Taking taylor expansion of 0 in k
10.718 * [backup-simplify]: Simplify 0 into 0
10.718 * [backup-simplify]: Simplify 0 into 0
10.719 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
10.719 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
10.720 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
10.720 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
10.720 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
10.720 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
10.720 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
10.720 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
10.720 * [taylor]: Taking taylor expansion of 1/4 in k
10.720 * [backup-simplify]: Simplify 1/4 into 1/4
10.720 * [taylor]: Taking taylor expansion of (- 1 k) in k
10.720 * [taylor]: Taking taylor expansion of 1 in k
10.720 * [backup-simplify]: Simplify 1 into 1
10.720 * [taylor]: Taking taylor expansion of k in k
10.720 * [backup-simplify]: Simplify 0 into 0
10.720 * [backup-simplify]: Simplify 1 into 1
10.720 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
10.720 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
10.720 * [taylor]: Taking taylor expansion of 2 in k
10.720 * [backup-simplify]: Simplify 2 into 2
10.720 * [taylor]: Taking taylor expansion of (* n PI) in k
10.720 * [taylor]: Taking taylor expansion of n in k
10.720 * [backup-simplify]: Simplify n into n
10.720 * [taylor]: Taking taylor expansion of PI in k
10.720 * [backup-simplify]: Simplify PI into PI
10.720 * [backup-simplify]: Simplify (* n PI) into (* n PI)
10.720 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
10.721 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
10.721 * [backup-simplify]: Simplify (- 0) into 0
10.721 * [backup-simplify]: Simplify (+ 1 0) into 1
10.722 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
10.722 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
10.722 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
10.722 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
10.722 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
10.722 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
10.722 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
10.722 * [taylor]: Taking taylor expansion of 1/4 in n
10.722 * [backup-simplify]: Simplify 1/4 into 1/4
10.722 * [taylor]: Taking taylor expansion of (- 1 k) in n
10.722 * [taylor]: Taking taylor expansion of 1 in n
10.722 * [backup-simplify]: Simplify 1 into 1
10.722 * [taylor]: Taking taylor expansion of k in n
10.722 * [backup-simplify]: Simplify k into k
10.723 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.723 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.723 * [taylor]: Taking taylor expansion of 2 in n
10.723 * [backup-simplify]: Simplify 2 into 2
10.723 * [taylor]: Taking taylor expansion of (* n PI) in n
10.723 * [taylor]: Taking taylor expansion of n in n
10.723 * [backup-simplify]: Simplify 0 into 0
10.723 * [backup-simplify]: Simplify 1 into 1
10.723 * [taylor]: Taking taylor expansion of PI in n
10.723 * [backup-simplify]: Simplify PI into PI
10.723 * [backup-simplify]: Simplify (* 0 PI) into 0
10.724 * [backup-simplify]: Simplify (* 2 0) into 0
10.725 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.727 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.728 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.728 * [backup-simplify]: Simplify (- k) into (- k)
10.728 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
10.728 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
10.730 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.731 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
10.732 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
10.732 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
10.732 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
10.732 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
10.732 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
10.732 * [taylor]: Taking taylor expansion of 1/4 in n
10.732 * [backup-simplify]: Simplify 1/4 into 1/4
10.732 * [taylor]: Taking taylor expansion of (- 1 k) in n
10.732 * [taylor]: Taking taylor expansion of 1 in n
10.732 * [backup-simplify]: Simplify 1 into 1
10.732 * [taylor]: Taking taylor expansion of k in n
10.732 * [backup-simplify]: Simplify k into k
10.732 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.732 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.732 * [taylor]: Taking taylor expansion of 2 in n
10.732 * [backup-simplify]: Simplify 2 into 2
10.732 * [taylor]: Taking taylor expansion of (* n PI) in n
10.732 * [taylor]: Taking taylor expansion of n in n
10.732 * [backup-simplify]: Simplify 0 into 0
10.732 * [backup-simplify]: Simplify 1 into 1
10.732 * [taylor]: Taking taylor expansion of PI in n
10.732 * [backup-simplify]: Simplify PI into PI
10.733 * [backup-simplify]: Simplify (* 0 PI) into 0
10.733 * [backup-simplify]: Simplify (* 2 0) into 0
10.734 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.736 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.737 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.737 * [backup-simplify]: Simplify (- k) into (- k)
10.737 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
10.737 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
10.738 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.739 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
10.740 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
10.740 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
10.740 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
10.740 * [taylor]: Taking taylor expansion of 1/4 in k
10.740 * [backup-simplify]: Simplify 1/4 into 1/4
10.740 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
10.740 * [taylor]: Taking taylor expansion of (- 1 k) in k
10.740 * [taylor]: Taking taylor expansion of 1 in k
10.740 * [backup-simplify]: Simplify 1 into 1
10.740 * [taylor]: Taking taylor expansion of k in k
10.740 * [backup-simplify]: Simplify 0 into 0
10.740 * [backup-simplify]: Simplify 1 into 1
10.740 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
10.741 * [taylor]: Taking taylor expansion of (log n) in k
10.741 * [taylor]: Taking taylor expansion of n in k
10.741 * [backup-simplify]: Simplify n into n
10.741 * [backup-simplify]: Simplify (log n) into (log n)
10.741 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.741 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.741 * [taylor]: Taking taylor expansion of 2 in k
10.741 * [backup-simplify]: Simplify 2 into 2
10.741 * [taylor]: Taking taylor expansion of PI in k
10.741 * [backup-simplify]: Simplify PI into PI
10.741 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.742 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.742 * [backup-simplify]: Simplify (- 0) into 0
10.743 * [backup-simplify]: Simplify (+ 1 0) into 1
10.744 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.745 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
10.746 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
10.747 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
10.748 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
10.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
10.750 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
10.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.752 * [backup-simplify]: Simplify (- 0) into 0
10.752 * [backup-simplify]: Simplify (+ 0 0) into 0
10.753 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
10.754 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.755 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
10.757 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.757 * [taylor]: Taking taylor expansion of 0 in k
10.757 * [backup-simplify]: Simplify 0 into 0
10.757 * [backup-simplify]: Simplify 0 into 0
10.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
10.758 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.759 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.759 * [backup-simplify]: Simplify (+ 0 0) into 0
10.759 * [backup-simplify]: Simplify (- 1) into -1
10.760 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.761 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
10.762 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
10.764 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
10.765 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
10.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
10.767 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
10.769 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.770 * [backup-simplify]: Simplify (- 0) into 0
10.770 * [backup-simplify]: Simplify (+ 0 0) into 0
10.771 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
10.771 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.773 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.774 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.774 * [taylor]: Taking taylor expansion of 0 in k
10.774 * [backup-simplify]: Simplify 0 into 0
10.774 * [backup-simplify]: Simplify 0 into 0
10.774 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
10.776 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.778 * [backup-simplify]: Simplify (+ 0 0) into 0
10.778 * [backup-simplify]: Simplify (- 0) into 0
10.778 * [backup-simplify]: Simplify (+ 0 0) into 0
10.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.781 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.783 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
10.786 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
10.791 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
10.792 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
10.792 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
10.792 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
10.792 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
10.792 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
10.792 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
10.792 * [taylor]: Taking taylor expansion of 1/4 in k
10.792 * [backup-simplify]: Simplify 1/4 into 1/4
10.792 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
10.792 * [taylor]: Taking taylor expansion of 1 in k
10.792 * [backup-simplify]: Simplify 1 into 1
10.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.792 * [taylor]: Taking taylor expansion of k in k
10.792 * [backup-simplify]: Simplify 0 into 0
10.792 * [backup-simplify]: Simplify 1 into 1
10.792 * [backup-simplify]: Simplify (/ 1 1) into 1
10.792 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
10.792 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
10.792 * [taylor]: Taking taylor expansion of 2 in k
10.792 * [backup-simplify]: Simplify 2 into 2
10.792 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.793 * [taylor]: Taking taylor expansion of PI in k
10.793 * [backup-simplify]: Simplify PI into PI
10.793 * [taylor]: Taking taylor expansion of n in k
10.793 * [backup-simplify]: Simplify n into n
10.793 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.793 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
10.793 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
10.793 * [backup-simplify]: Simplify (- 1) into -1
10.793 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.793 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
10.794 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
10.794 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
10.794 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
10.794 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.794 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.794 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
10.794 * [taylor]: Taking taylor expansion of 1/4 in n
10.794 * [backup-simplify]: Simplify 1/4 into 1/4
10.794 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
10.794 * [taylor]: Taking taylor expansion of 1 in n
10.794 * [backup-simplify]: Simplify 1 into 1
10.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.794 * [taylor]: Taking taylor expansion of k in n
10.794 * [backup-simplify]: Simplify k into k
10.794 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.794 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.794 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.794 * [taylor]: Taking taylor expansion of 2 in n
10.794 * [backup-simplify]: Simplify 2 into 2
10.794 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.794 * [taylor]: Taking taylor expansion of PI in n
10.794 * [backup-simplify]: Simplify PI into PI
10.794 * [taylor]: Taking taylor expansion of n in n
10.794 * [backup-simplify]: Simplify 0 into 0
10.794 * [backup-simplify]: Simplify 1 into 1
10.794 * [backup-simplify]: Simplify (/ PI 1) into PI
10.795 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.795 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.795 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
10.795 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
10.795 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
10.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.797 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
10.798 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
10.798 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
10.798 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.798 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.798 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
10.798 * [taylor]: Taking taylor expansion of 1/4 in n
10.798 * [backup-simplify]: Simplify 1/4 into 1/4
10.798 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
10.798 * [taylor]: Taking taylor expansion of 1 in n
10.798 * [backup-simplify]: Simplify 1 into 1
10.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.798 * [taylor]: Taking taylor expansion of k in n
10.798 * [backup-simplify]: Simplify k into k
10.798 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.798 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.798 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.798 * [taylor]: Taking taylor expansion of 2 in n
10.798 * [backup-simplify]: Simplify 2 into 2
10.798 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.798 * [taylor]: Taking taylor expansion of PI in n
10.798 * [backup-simplify]: Simplify PI into PI
10.798 * [taylor]: Taking taylor expansion of n in n
10.798 * [backup-simplify]: Simplify 0 into 0
10.798 * [backup-simplify]: Simplify 1 into 1
10.798 * [backup-simplify]: Simplify (/ PI 1) into PI
10.799 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.799 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.799 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
10.799 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
10.799 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
10.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.801 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
10.802 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
10.802 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
10.802 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
10.802 * [taylor]: Taking taylor expansion of 1/4 in k
10.802 * [backup-simplify]: Simplify 1/4 into 1/4
10.802 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
10.802 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
10.802 * [taylor]: Taking taylor expansion of 1 in k
10.802 * [backup-simplify]: Simplify 1 into 1
10.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.802 * [taylor]: Taking taylor expansion of k in k
10.802 * [backup-simplify]: Simplify 0 into 0
10.802 * [backup-simplify]: Simplify 1 into 1
10.802 * [backup-simplify]: Simplify (/ 1 1) into 1
10.802 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
10.802 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.802 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.802 * [taylor]: Taking taylor expansion of 2 in k
10.802 * [backup-simplify]: Simplify 2 into 2
10.802 * [taylor]: Taking taylor expansion of PI in k
10.802 * [backup-simplify]: Simplify PI into PI
10.802 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.803 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.803 * [taylor]: Taking taylor expansion of (log n) in k
10.803 * [taylor]: Taking taylor expansion of n in k
10.803 * [backup-simplify]: Simplify n into n
10.803 * [backup-simplify]: Simplify (log n) into (log n)
10.803 * [backup-simplify]: Simplify (- 1) into -1
10.804 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.804 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.804 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
10.805 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
10.806 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
10.807 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
10.814 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
10.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.816 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.819 * [backup-simplify]: Simplify (- 0) into 0
10.819 * [backup-simplify]: Simplify (+ 0 0) into 0
10.819 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
10.821 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.822 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
10.824 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.824 * [taylor]: Taking taylor expansion of 0 in k
10.824 * [backup-simplify]: Simplify 0 into 0
10.824 * [backup-simplify]: Simplify 0 into 0
10.824 * [backup-simplify]: Simplify 0 into 0
10.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.826 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.830 * [backup-simplify]: Simplify (- 0) into 0
10.831 * [backup-simplify]: Simplify (+ 0 0) into 0
10.831 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
10.833 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.834 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
10.837 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.837 * [taylor]: Taking taylor expansion of 0 in k
10.837 * [backup-simplify]: Simplify 0 into 0
10.837 * [backup-simplify]: Simplify 0 into 0
10.837 * [backup-simplify]: Simplify 0 into 0
10.837 * [backup-simplify]: Simplify 0 into 0
10.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.839 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.845 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
10.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.846 * [backup-simplify]: Simplify (- 0) into 0
10.846 * [backup-simplify]: Simplify (+ 0 0) into 0
10.847 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
10.849 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.851 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
10.854 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.854 * [taylor]: Taking taylor expansion of 0 in k
10.855 * [backup-simplify]: Simplify 0 into 0
10.855 * [backup-simplify]: Simplify 0 into 0
10.856 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
10.857 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
10.857 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
10.857 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
10.857 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
10.857 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
10.857 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
10.857 * [taylor]: Taking taylor expansion of 1/4 in k
10.857 * [backup-simplify]: Simplify 1/4 into 1/4
10.857 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
10.857 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.857 * [taylor]: Taking taylor expansion of k in k
10.857 * [backup-simplify]: Simplify 0 into 0
10.857 * [backup-simplify]: Simplify 1 into 1
10.857 * [backup-simplify]: Simplify (/ 1 1) into 1
10.857 * [taylor]: Taking taylor expansion of 1 in k
10.857 * [backup-simplify]: Simplify 1 into 1
10.857 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
10.857 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
10.857 * [taylor]: Taking taylor expansion of -2 in k
10.857 * [backup-simplify]: Simplify -2 into -2
10.857 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.858 * [taylor]: Taking taylor expansion of PI in k
10.858 * [backup-simplify]: Simplify PI into PI
10.858 * [taylor]: Taking taylor expansion of n in k
10.858 * [backup-simplify]: Simplify n into n
10.858 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.858 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
10.858 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
10.858 * [backup-simplify]: Simplify (+ 1 0) into 1
10.859 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
10.859 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
10.859 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
10.859 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
10.859 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
10.859 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
10.859 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
10.859 * [taylor]: Taking taylor expansion of 1/4 in n
10.859 * [backup-simplify]: Simplify 1/4 into 1/4
10.859 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
10.859 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.859 * [taylor]: Taking taylor expansion of k in n
10.859 * [backup-simplify]: Simplify k into k
10.859 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.859 * [taylor]: Taking taylor expansion of 1 in n
10.859 * [backup-simplify]: Simplify 1 into 1
10.859 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.859 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.859 * [taylor]: Taking taylor expansion of -2 in n
10.859 * [backup-simplify]: Simplify -2 into -2
10.859 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.860 * [taylor]: Taking taylor expansion of PI in n
10.860 * [backup-simplify]: Simplify PI into PI
10.860 * [taylor]: Taking taylor expansion of n in n
10.860 * [backup-simplify]: Simplify 0 into 0
10.860 * [backup-simplify]: Simplify 1 into 1
10.860 * [backup-simplify]: Simplify (/ PI 1) into PI
10.861 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.862 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.862 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
10.862 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
10.863 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.864 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
10.865 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
10.866 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
10.866 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
10.866 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
10.866 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
10.866 * [taylor]: Taking taylor expansion of 1/4 in n
10.866 * [backup-simplify]: Simplify 1/4 into 1/4
10.866 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
10.866 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.866 * [taylor]: Taking taylor expansion of k in n
10.866 * [backup-simplify]: Simplify k into k
10.866 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.866 * [taylor]: Taking taylor expansion of 1 in n
10.866 * [backup-simplify]: Simplify 1 into 1
10.866 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.866 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.866 * [taylor]: Taking taylor expansion of -2 in n
10.866 * [backup-simplify]: Simplify -2 into -2
10.866 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.866 * [taylor]: Taking taylor expansion of PI in n
10.866 * [backup-simplify]: Simplify PI into PI
10.866 * [taylor]: Taking taylor expansion of n in n
10.866 * [backup-simplify]: Simplify 0 into 0
10.866 * [backup-simplify]: Simplify 1 into 1
10.867 * [backup-simplify]: Simplify (/ PI 1) into PI
10.867 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.868 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.868 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
10.868 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
10.870 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.871 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
10.872 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
10.873 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
10.873 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
10.873 * [taylor]: Taking taylor expansion of 1/4 in k
10.873 * [backup-simplify]: Simplify 1/4 into 1/4
10.873 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
10.873 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
10.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.873 * [taylor]: Taking taylor expansion of k in k
10.873 * [backup-simplify]: Simplify 0 into 0
10.873 * [backup-simplify]: Simplify 1 into 1
10.873 * [backup-simplify]: Simplify (/ 1 1) into 1
10.873 * [taylor]: Taking taylor expansion of 1 in k
10.873 * [backup-simplify]: Simplify 1 into 1
10.873 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
10.873 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
10.873 * [taylor]: Taking taylor expansion of (* -2 PI) in k
10.873 * [taylor]: Taking taylor expansion of -2 in k
10.873 * [backup-simplify]: Simplify -2 into -2
10.873 * [taylor]: Taking taylor expansion of PI in k
10.873 * [backup-simplify]: Simplify PI into PI
10.874 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.875 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.875 * [taylor]: Taking taylor expansion of (log n) in k
10.875 * [taylor]: Taking taylor expansion of n in k
10.875 * [backup-simplify]: Simplify n into n
10.875 * [backup-simplify]: Simplify (log n) into (log n)
10.876 * [backup-simplify]: Simplify (+ 1 0) into 1
10.876 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.877 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
10.878 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
10.879 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
10.880 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
10.881 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
10.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.883 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
10.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
10.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.885 * [backup-simplify]: Simplify (+ 0 0) into 0
10.886 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
10.887 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.888 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
10.890 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.890 * [taylor]: Taking taylor expansion of 0 in k
10.890 * [backup-simplify]: Simplify 0 into 0
10.890 * [backup-simplify]: Simplify 0 into 0
10.890 * [backup-simplify]: Simplify 0 into 0
10.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.892 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
10.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
10.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.896 * [backup-simplify]: Simplify (+ 0 0) into 0
10.897 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
10.898 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.900 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
10.902 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.902 * [taylor]: Taking taylor expansion of 0 in k
10.902 * [backup-simplify]: Simplify 0 into 0
10.902 * [backup-simplify]: Simplify 0 into 0
10.902 * [backup-simplify]: Simplify 0 into 0
10.902 * [backup-simplify]: Simplify 0 into 0
10.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.904 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.910 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
10.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.911 * [backup-simplify]: Simplify (+ 0 0) into 0
10.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
10.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.915 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
10.918 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.918 * [taylor]: Taking taylor expansion of 0 in k
10.918 * [backup-simplify]: Simplify 0 into 0
10.918 * [backup-simplify]: Simplify 0 into 0
10.919 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
10.919 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
10.920 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) into (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2)
10.920 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in (n k) around 0
10.920 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in k
10.920 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
10.920 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
10.920 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
10.920 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
10.920 * [taylor]: Taking taylor expansion of 1/4 in k
10.920 * [backup-simplify]: Simplify 1/4 into 1/4
10.920 * [taylor]: Taking taylor expansion of (- 1 k) in k
10.920 * [taylor]: Taking taylor expansion of 1 in k
10.921 * [backup-simplify]: Simplify 1 into 1
10.921 * [taylor]: Taking taylor expansion of k in k
10.921 * [backup-simplify]: Simplify 0 into 0
10.921 * [backup-simplify]: Simplify 1 into 1
10.921 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
10.921 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
10.921 * [taylor]: Taking taylor expansion of 2 in k
10.921 * [backup-simplify]: Simplify 2 into 2
10.921 * [taylor]: Taking taylor expansion of (* n PI) in k
10.921 * [taylor]: Taking taylor expansion of n in k
10.921 * [backup-simplify]: Simplify n into n
10.921 * [taylor]: Taking taylor expansion of PI in k
10.921 * [backup-simplify]: Simplify PI into PI
10.921 * [backup-simplify]: Simplify (* n PI) into (* n PI)
10.921 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
10.921 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
10.921 * [backup-simplify]: Simplify (- 0) into 0
10.922 * [backup-simplify]: Simplify (+ 1 0) into 1
10.922 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
10.922 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
10.922 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
10.922 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in n
10.922 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
10.922 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
10.923 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
10.923 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
10.923 * [taylor]: Taking taylor expansion of 1/4 in n
10.923 * [backup-simplify]: Simplify 1/4 into 1/4
10.923 * [taylor]: Taking taylor expansion of (- 1 k) in n
10.923 * [taylor]: Taking taylor expansion of 1 in n
10.923 * [backup-simplify]: Simplify 1 into 1
10.923 * [taylor]: Taking taylor expansion of k in n
10.923 * [backup-simplify]: Simplify k into k
10.923 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.923 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.923 * [taylor]: Taking taylor expansion of 2 in n
10.923 * [backup-simplify]: Simplify 2 into 2
10.923 * [taylor]: Taking taylor expansion of (* n PI) in n
10.923 * [taylor]: Taking taylor expansion of n in n
10.923 * [backup-simplify]: Simplify 0 into 0
10.923 * [backup-simplify]: Simplify 1 into 1
10.923 * [taylor]: Taking taylor expansion of PI in n
10.923 * [backup-simplify]: Simplify PI into PI
10.923 * [backup-simplify]: Simplify (* 0 PI) into 0
10.924 * [backup-simplify]: Simplify (* 2 0) into 0
10.925 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.927 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.928 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.928 * [backup-simplify]: Simplify (- k) into (- k)
10.928 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
10.928 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
10.929 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.930 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
10.931 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
10.931 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in n
10.931 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
10.931 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
10.931 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
10.932 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
10.932 * [taylor]: Taking taylor expansion of 1/4 in n
10.932 * [backup-simplify]: Simplify 1/4 into 1/4
10.932 * [taylor]: Taking taylor expansion of (- 1 k) in n
10.932 * [taylor]: Taking taylor expansion of 1 in n
10.932 * [backup-simplify]: Simplify 1 into 1
10.932 * [taylor]: Taking taylor expansion of k in n
10.932 * [backup-simplify]: Simplify k into k
10.932 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.932 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.932 * [taylor]: Taking taylor expansion of 2 in n
10.932 * [backup-simplify]: Simplify 2 into 2
10.932 * [taylor]: Taking taylor expansion of (* n PI) in n
10.932 * [taylor]: Taking taylor expansion of n in n
10.932 * [backup-simplify]: Simplify 0 into 0
10.932 * [backup-simplify]: Simplify 1 into 1
10.932 * [taylor]: Taking taylor expansion of PI in n
10.932 * [backup-simplify]: Simplify PI into PI
10.932 * [backup-simplify]: Simplify (* 0 PI) into 0
10.933 * [backup-simplify]: Simplify (* 2 0) into 0
10.934 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.936 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.937 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.937 * [backup-simplify]: Simplify (- k) into (- k)
10.937 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
10.937 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
10.939 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.940 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
10.941 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
10.943 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (pow (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 2)
10.943 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 2) in k
10.943 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
10.943 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
10.943 * [taylor]: Taking taylor expansion of 1/4 in k
10.943 * [backup-simplify]: Simplify 1/4 into 1/4
10.943 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
10.943 * [taylor]: Taking taylor expansion of (- 1 k) in k
10.943 * [taylor]: Taking taylor expansion of 1 in k
10.943 * [backup-simplify]: Simplify 1 into 1
10.943 * [taylor]: Taking taylor expansion of k in k
10.943 * [backup-simplify]: Simplify 0 into 0
10.943 * [backup-simplify]: Simplify 1 into 1
10.943 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
10.943 * [taylor]: Taking taylor expansion of (log n) in k
10.943 * [taylor]: Taking taylor expansion of n in k
10.943 * [backup-simplify]: Simplify n into n
10.943 * [backup-simplify]: Simplify (log n) into (log n)
10.943 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.943 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.943 * [taylor]: Taking taylor expansion of 2 in k
10.943 * [backup-simplify]: Simplify 2 into 2
10.943 * [taylor]: Taking taylor expansion of PI in k
10.943 * [backup-simplify]: Simplify PI into PI
10.944 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.945 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.945 * [backup-simplify]: Simplify (- 0) into 0
10.946 * [backup-simplify]: Simplify (+ 1 0) into 1
10.946 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.947 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
10.948 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
10.949 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
10.958 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) into (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)
10.960 * [backup-simplify]: Simplify (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) into (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)
10.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
10.962 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
10.964 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.964 * [backup-simplify]: Simplify (- 0) into 0
10.964 * [backup-simplify]: Simplify (+ 0 0) into 0
10.965 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
10.966 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.967 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
10.969 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.971 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))))) into 0
10.971 * [taylor]: Taking taylor expansion of 0 in k
10.971 * [backup-simplify]: Simplify 0 into 0
10.971 * [backup-simplify]: Simplify 0 into 0
10.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
10.973 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.975 * [backup-simplify]: Simplify (+ 0 0) into 0
10.976 * [backup-simplify]: Simplify (- 1) into -1
10.976 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.978 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
10.980 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
10.983 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
10.991 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI))))))
10.994 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) into (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI))))))
10.996 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
10.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
11.001 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.001 * [backup-simplify]: Simplify (- 0) into 0
11.002 * [backup-simplify]: Simplify (+ 0 0) into 0
11.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
11.004 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.005 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.008 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.010 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))))) into 0
11.010 * [taylor]: Taking taylor expansion of 0 in k
11.010 * [backup-simplify]: Simplify 0 into 0
11.010 * [backup-simplify]: Simplify 0 into 0
11.010 * [backup-simplify]: Simplify 0 into 0
11.012 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.013 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.016 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.016 * [backup-simplify]: Simplify (+ 0 0) into 0
11.017 * [backup-simplify]: Simplify (- 0) into 0
11.017 * [backup-simplify]: Simplify (+ 0 0) into 0
11.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.021 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.025 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
11.043 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))))
11.049 * [backup-simplify]: Simplify (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))))) into (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))))
11.058 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) (* k 1)) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2))) into (- (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/4 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI)))))) (+ (* 1/8 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)))) (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) k)))))
11.059 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2))) into (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2)
11.059 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in (n k) around 0
11.059 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in k
11.059 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
11.059 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
11.059 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
11.059 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
11.059 * [taylor]: Taking taylor expansion of 1/4 in k
11.059 * [backup-simplify]: Simplify 1/4 into 1/4
11.059 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
11.059 * [taylor]: Taking taylor expansion of 1 in k
11.059 * [backup-simplify]: Simplify 1 into 1
11.059 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.059 * [taylor]: Taking taylor expansion of k in k
11.059 * [backup-simplify]: Simplify 0 into 0
11.059 * [backup-simplify]: Simplify 1 into 1
11.059 * [backup-simplify]: Simplify (/ 1 1) into 1
11.059 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
11.059 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
11.059 * [taylor]: Taking taylor expansion of 2 in k
11.059 * [backup-simplify]: Simplify 2 into 2
11.059 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.059 * [taylor]: Taking taylor expansion of PI in k
11.059 * [backup-simplify]: Simplify PI into PI
11.059 * [taylor]: Taking taylor expansion of n in k
11.059 * [backup-simplify]: Simplify n into n
11.059 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.059 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
11.059 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
11.060 * [backup-simplify]: Simplify (- 1) into -1
11.060 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.060 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
11.060 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
11.060 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
11.061 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in n
11.061 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
11.061 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
11.061 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
11.061 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
11.061 * [taylor]: Taking taylor expansion of 1/4 in n
11.061 * [backup-simplify]: Simplify 1/4 into 1/4
11.061 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.061 * [taylor]: Taking taylor expansion of 1 in n
11.061 * [backup-simplify]: Simplify 1 into 1
11.061 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.061 * [taylor]: Taking taylor expansion of k in n
11.061 * [backup-simplify]: Simplify k into k
11.061 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.061 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.061 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.061 * [taylor]: Taking taylor expansion of 2 in n
11.061 * [backup-simplify]: Simplify 2 into 2
11.061 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.061 * [taylor]: Taking taylor expansion of PI in n
11.061 * [backup-simplify]: Simplify PI into PI
11.061 * [taylor]: Taking taylor expansion of n in n
11.061 * [backup-simplify]: Simplify 0 into 0
11.061 * [backup-simplify]: Simplify 1 into 1
11.061 * [backup-simplify]: Simplify (/ PI 1) into PI
11.061 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.062 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.062 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.062 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.062 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
11.063 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.064 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.065 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.065 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in n
11.065 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
11.065 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
11.065 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
11.065 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
11.065 * [taylor]: Taking taylor expansion of 1/4 in n
11.065 * [backup-simplify]: Simplify 1/4 into 1/4
11.065 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.065 * [taylor]: Taking taylor expansion of 1 in n
11.065 * [backup-simplify]: Simplify 1 into 1
11.065 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.065 * [taylor]: Taking taylor expansion of k in n
11.065 * [backup-simplify]: Simplify k into k
11.065 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.065 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.065 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.065 * [taylor]: Taking taylor expansion of 2 in n
11.065 * [backup-simplify]: Simplify 2 into 2
11.065 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.065 * [taylor]: Taking taylor expansion of PI in n
11.065 * [backup-simplify]: Simplify PI into PI
11.065 * [taylor]: Taking taylor expansion of n in n
11.065 * [backup-simplify]: Simplify 0 into 0
11.065 * [backup-simplify]: Simplify 1 into 1
11.065 * [backup-simplify]: Simplify (/ PI 1) into PI
11.066 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.066 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.066 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.066 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.066 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
11.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.068 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.069 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.070 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2)
11.070 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) in k
11.070 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
11.070 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
11.070 * [taylor]: Taking taylor expansion of 1/4 in k
11.070 * [backup-simplify]: Simplify 1/4 into 1/4
11.070 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
11.070 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
11.070 * [taylor]: Taking taylor expansion of 1 in k
11.070 * [backup-simplify]: Simplify 1 into 1
11.070 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.070 * [taylor]: Taking taylor expansion of k in k
11.070 * [backup-simplify]: Simplify 0 into 0
11.070 * [backup-simplify]: Simplify 1 into 1
11.071 * [backup-simplify]: Simplify (/ 1 1) into 1
11.071 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
11.071 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
11.071 * [taylor]: Taking taylor expansion of (* 2 PI) in k
11.071 * [taylor]: Taking taylor expansion of 2 in k
11.071 * [backup-simplify]: Simplify 2 into 2
11.071 * [taylor]: Taking taylor expansion of PI in k
11.071 * [backup-simplify]: Simplify PI into PI
11.071 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.072 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.072 * [taylor]: Taking taylor expansion of (log n) in k
11.072 * [taylor]: Taking taylor expansion of n in k
11.072 * [backup-simplify]: Simplify n into n
11.072 * [backup-simplify]: Simplify (log n) into (log n)
11.072 * [backup-simplify]: Simplify (- 1) into -1
11.072 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.072 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.073 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
11.074 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
11.074 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
11.075 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.077 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2)
11.082 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2)
11.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.083 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.085 * [backup-simplify]: Simplify (- 0) into 0
11.085 * [backup-simplify]: Simplify (+ 0 0) into 0
11.086 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
11.087 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.087 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
11.088 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.090 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
11.090 * [taylor]: Taking taylor expansion of 0 in k
11.090 * [backup-simplify]: Simplify 0 into 0
11.090 * [backup-simplify]: Simplify 0 into 0
11.093 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
11.093 * [backup-simplify]: Simplify 0 into 0
11.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.098 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.099 * [backup-simplify]: Simplify (- 0) into 0
11.099 * [backup-simplify]: Simplify (+ 0 0) into 0
11.100 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
11.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.103 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
11.106 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.108 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0
11.108 * [taylor]: Taking taylor expansion of 0 in k
11.108 * [backup-simplify]: Simplify 0 into 0
11.108 * [backup-simplify]: Simplify 0 into 0
11.108 * [backup-simplify]: Simplify 0 into 0
11.110 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0
11.110 * [backup-simplify]: Simplify 0 into 0
11.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.114 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
11.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.115 * [backup-simplify]: Simplify (- 0) into 0
11.115 * [backup-simplify]: Simplify (+ 0 0) into 0
11.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
11.117 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.118 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
11.120 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.122 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0
11.122 * [taylor]: Taking taylor expansion of 0 in k
11.122 * [backup-simplify]: Simplify 0 into 0
11.122 * [backup-simplify]: Simplify 0 into 0
11.123 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) into (pow (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2)
11.123 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) into (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2)
11.123 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in (n k) around 0
11.123 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in k
11.123 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
11.123 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
11.123 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
11.123 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
11.124 * [taylor]: Taking taylor expansion of 1/4 in k
11.124 * [backup-simplify]: Simplify 1/4 into 1/4
11.124 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
11.124 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.124 * [taylor]: Taking taylor expansion of k in k
11.124 * [backup-simplify]: Simplify 0 into 0
11.124 * [backup-simplify]: Simplify 1 into 1
11.124 * [backup-simplify]: Simplify (/ 1 1) into 1
11.124 * [taylor]: Taking taylor expansion of 1 in k
11.124 * [backup-simplify]: Simplify 1 into 1
11.124 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
11.124 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
11.124 * [taylor]: Taking taylor expansion of -2 in k
11.124 * [backup-simplify]: Simplify -2 into -2
11.124 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.124 * [taylor]: Taking taylor expansion of PI in k
11.124 * [backup-simplify]: Simplify PI into PI
11.124 * [taylor]: Taking taylor expansion of n in k
11.124 * [backup-simplify]: Simplify n into n
11.124 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.124 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
11.124 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
11.126 * [backup-simplify]: Simplify (+ 1 0) into 1
11.127 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
11.127 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
11.127 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
11.127 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in n
11.127 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
11.127 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
11.127 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
11.127 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
11.127 * [taylor]: Taking taylor expansion of 1/4 in n
11.127 * [backup-simplify]: Simplify 1/4 into 1/4
11.127 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.127 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.127 * [taylor]: Taking taylor expansion of k in n
11.127 * [backup-simplify]: Simplify k into k
11.127 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.127 * [taylor]: Taking taylor expansion of 1 in n
11.127 * [backup-simplify]: Simplify 1 into 1
11.127 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.127 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.127 * [taylor]: Taking taylor expansion of -2 in n
11.127 * [backup-simplify]: Simplify -2 into -2
11.127 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.127 * [taylor]: Taking taylor expansion of PI in n
11.127 * [backup-simplify]: Simplify PI into PI
11.127 * [taylor]: Taking taylor expansion of n in n
11.127 * [backup-simplify]: Simplify 0 into 0
11.127 * [backup-simplify]: Simplify 1 into 1
11.128 * [backup-simplify]: Simplify (/ PI 1) into PI
11.128 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.129 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.129 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.129 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
11.130 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.131 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.131 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.131 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in n
11.131 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
11.131 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
11.131 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
11.131 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
11.131 * [taylor]: Taking taylor expansion of 1/4 in n
11.131 * [backup-simplify]: Simplify 1/4 into 1/4
11.131 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.132 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.132 * [taylor]: Taking taylor expansion of k in n
11.132 * [backup-simplify]: Simplify k into k
11.132 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.132 * [taylor]: Taking taylor expansion of 1 in n
11.132 * [backup-simplify]: Simplify 1 into 1
11.132 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.132 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.132 * [taylor]: Taking taylor expansion of -2 in n
11.132 * [backup-simplify]: Simplify -2 into -2
11.132 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.132 * [taylor]: Taking taylor expansion of PI in n
11.132 * [backup-simplify]: Simplify PI into PI
11.132 * [taylor]: Taking taylor expansion of n in n
11.132 * [backup-simplify]: Simplify 0 into 0
11.132 * [backup-simplify]: Simplify 1 into 1
11.132 * [backup-simplify]: Simplify (/ PI 1) into PI
11.132 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.133 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.133 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.133 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
11.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.135 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.136 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.139 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2)
11.139 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) in k
11.139 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
11.139 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
11.139 * [taylor]: Taking taylor expansion of 1/4 in k
11.139 * [backup-simplify]: Simplify 1/4 into 1/4
11.139 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
11.139 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
11.139 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.139 * [taylor]: Taking taylor expansion of k in k
11.139 * [backup-simplify]: Simplify 0 into 0
11.139 * [backup-simplify]: Simplify 1 into 1
11.139 * [backup-simplify]: Simplify (/ 1 1) into 1
11.139 * [taylor]: Taking taylor expansion of 1 in k
11.139 * [backup-simplify]: Simplify 1 into 1
11.139 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
11.140 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
11.140 * [taylor]: Taking taylor expansion of (* -2 PI) in k
11.140 * [taylor]: Taking taylor expansion of -2 in k
11.140 * [backup-simplify]: Simplify -2 into -2
11.140 * [taylor]: Taking taylor expansion of PI in k
11.140 * [backup-simplify]: Simplify PI into PI
11.140 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.141 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.141 * [taylor]: Taking taylor expansion of (log n) in k
11.141 * [taylor]: Taking taylor expansion of n in k
11.141 * [backup-simplify]: Simplify n into n
11.141 * [backup-simplify]: Simplify (log n) into (log n)
11.142 * [backup-simplify]: Simplify (+ 1 0) into 1
11.142 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.143 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
11.144 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
11.145 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
11.146 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.148 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2)
11.149 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2)
11.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.151 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
11.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
11.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.153 * [backup-simplify]: Simplify (+ 0 0) into 0
11.153 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
11.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.156 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
11.158 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.160 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
11.160 * [taylor]: Taking taylor expansion of 0 in k
11.160 * [backup-simplify]: Simplify 0 into 0
11.160 * [backup-simplify]: Simplify 0 into 0
11.162 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
11.162 * [backup-simplify]: Simplify 0 into 0
11.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.163 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
11.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
11.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.166 * [backup-simplify]: Simplify (+ 0 0) into 0
11.166 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
11.167 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.168 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
11.170 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.171 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0
11.171 * [taylor]: Taking taylor expansion of 0 in k
11.171 * [backup-simplify]: Simplify 0 into 0
11.171 * [backup-simplify]: Simplify 0 into 0
11.172 * [backup-simplify]: Simplify 0 into 0
11.173 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0
11.173 * [backup-simplify]: Simplify 0 into 0
11.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.175 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.178 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
11.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.178 * [backup-simplify]: Simplify (+ 0 0) into 0
11.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
11.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.181 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
11.183 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.191 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0
11.191 * [taylor]: Taking taylor expansion of 0 in k
11.191 * [backup-simplify]: Simplify 0 into 0
11.191 * [backup-simplify]: Simplify 0 into 0
11.192 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) 2) into (pow (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2)
11.192 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1)
11.193 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
11.193 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
11.193 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.193 * [taylor]: Taking taylor expansion of 2 in n
11.193 * [backup-simplify]: Simplify 2 into 2
11.193 * [taylor]: Taking taylor expansion of (* n PI) in n
11.193 * [taylor]: Taking taylor expansion of n in n
11.193 * [backup-simplify]: Simplify 0 into 0
11.193 * [backup-simplify]: Simplify 1 into 1
11.193 * [taylor]: Taking taylor expansion of PI in n
11.193 * [backup-simplify]: Simplify PI into PI
11.193 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.193 * [taylor]: Taking taylor expansion of 2 in n
11.193 * [backup-simplify]: Simplify 2 into 2
11.193 * [taylor]: Taking taylor expansion of (* n PI) in n
11.193 * [taylor]: Taking taylor expansion of n in n
11.193 * [backup-simplify]: Simplify 0 into 0
11.193 * [backup-simplify]: Simplify 1 into 1
11.193 * [taylor]: Taking taylor expansion of PI in n
11.193 * [backup-simplify]: Simplify PI into PI
11.193 * [backup-simplify]: Simplify (* 0 PI) into 0
11.194 * [backup-simplify]: Simplify (* 2 0) into 0
11.194 * [backup-simplify]: Simplify 0 into 0
11.195 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.196 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.196 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.197 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
11.197 * [backup-simplify]: Simplify 0 into 0
11.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
11.200 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
11.200 * [backup-simplify]: Simplify 0 into 0
11.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
11.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
11.203 * [backup-simplify]: Simplify 0 into 0
11.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
11.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
11.206 * [backup-simplify]: Simplify 0 into 0
11.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
11.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
11.210 * [backup-simplify]: Simplify 0 into 0
11.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
11.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
11.214 * [backup-simplify]: Simplify 0 into 0
11.215 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
11.215 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
11.215 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
11.215 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.215 * [taylor]: Taking taylor expansion of 2 in n
11.215 * [backup-simplify]: Simplify 2 into 2
11.215 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.215 * [taylor]: Taking taylor expansion of PI in n
11.215 * [backup-simplify]: Simplify PI into PI
11.215 * [taylor]: Taking taylor expansion of n in n
11.215 * [backup-simplify]: Simplify 0 into 0
11.215 * [backup-simplify]: Simplify 1 into 1
11.216 * [backup-simplify]: Simplify (/ PI 1) into PI
11.216 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.216 * [taylor]: Taking taylor expansion of 2 in n
11.216 * [backup-simplify]: Simplify 2 into 2
11.216 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.216 * [taylor]: Taking taylor expansion of PI in n
11.216 * [backup-simplify]: Simplify PI into PI
11.216 * [taylor]: Taking taylor expansion of n in n
11.216 * [backup-simplify]: Simplify 0 into 0
11.216 * [backup-simplify]: Simplify 1 into 1
11.217 * [backup-simplify]: Simplify (/ PI 1) into PI
11.217 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.218 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.219 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.219 * [backup-simplify]: Simplify 0 into 0
11.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.222 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.222 * [backup-simplify]: Simplify 0 into 0
11.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.224 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.224 * [backup-simplify]: Simplify 0 into 0
11.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.226 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
11.226 * [backup-simplify]: Simplify 0 into 0
11.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.229 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
11.229 * [backup-simplify]: Simplify 0 into 0
11.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.232 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
11.232 * [backup-simplify]: Simplify 0 into 0
11.233 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
11.233 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
11.233 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
11.233 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.233 * [taylor]: Taking taylor expansion of -2 in n
11.233 * [backup-simplify]: Simplify -2 into -2
11.233 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.233 * [taylor]: Taking taylor expansion of PI in n
11.233 * [backup-simplify]: Simplify PI into PI
11.234 * [taylor]: Taking taylor expansion of n in n
11.234 * [backup-simplify]: Simplify 0 into 0
11.234 * [backup-simplify]: Simplify 1 into 1
11.234 * [backup-simplify]: Simplify (/ PI 1) into PI
11.234 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.234 * [taylor]: Taking taylor expansion of -2 in n
11.234 * [backup-simplify]: Simplify -2 into -2
11.234 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.234 * [taylor]: Taking taylor expansion of PI in n
11.234 * [backup-simplify]: Simplify PI into PI
11.234 * [taylor]: Taking taylor expansion of n in n
11.234 * [backup-simplify]: Simplify 0 into 0
11.234 * [backup-simplify]: Simplify 1 into 1
11.235 * [backup-simplify]: Simplify (/ PI 1) into PI
11.235 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.236 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.237 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
11.237 * [backup-simplify]: Simplify 0 into 0
11.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.239 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
11.240 * [backup-simplify]: Simplify 0 into 0
11.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.242 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.242 * [backup-simplify]: Simplify 0 into 0
11.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.243 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
11.243 * [backup-simplify]: Simplify 0 into 0
11.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.245 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
11.245 * [backup-simplify]: Simplify 0 into 0
11.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.246 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
11.246 * [backup-simplify]: Simplify 0 into 0
11.247 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
11.247 * * * [progress]: simplifying candidates
11.247 * * * * [progress]: [ 1 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.247 * * * * [progress]: [ 2 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.247 * * * * [progress]: [ 3 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.247 * * * * [progress]: [ 4 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.247 * * * * [progress]: [ 5 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.247 * * * * [progress]: [ 6 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.247 * * * * [progress]: [ 7 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.247 * * * * [progress]: [ 8 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2)))) (sqrt k)))>
11.247 * * * * [progress]: [ 9 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.247 * * * * [progress]: [ 10 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 11 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 12 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 13 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2))) (sqrt k)))>
11.248 * * * * [progress]: [ 14 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 15 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 16 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2))) (sqrt k)))>
11.248 * * * * [progress]: [ 17 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 18 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 19 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2))) (sqrt k)))>
11.248 * * * * [progress]: [ 20 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 21 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 22 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2))) (sqrt k)))>
11.248 * * * * [progress]: [ 23 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 24 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 25 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2))) (sqrt k)))>
11.248 * * * * [progress]: [ 26 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 27 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 28 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2))) (sqrt k)))>
11.248 * * * * [progress]: [ 29 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)))) (sqrt k)))>
11.248 * * * * [progress]: [ 30 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 31 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2))) (sqrt k)))>
11.249 * * * * [progress]: [ 32 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 33 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 34 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2))) (sqrt k)))>
11.249 * * * * [progress]: [ 35 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 36 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 37 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2))) (sqrt k)))>
11.249 * * * * [progress]: [ 38 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 39 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 40 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2))) (sqrt k)))>
11.249 * * * * [progress]: [ 41 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 42 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 43 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.249 * * * * [progress]: [ 44 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 45 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 46 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2))) (sqrt k)))>
11.249 * * * * [progress]: [ 47 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 48 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 49 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2))) (sqrt k)))>
11.249 * * * * [progress]: [ 50 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)))) (sqrt k)))>
11.249 * * * * [progress]: [ 51 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 52 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2))) (sqrt k)))>
11.250 * * * * [progress]: [ 53 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 54 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 55 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2))) (sqrt k)))>
11.250 * * * * [progress]: [ 56 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 57 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 58 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2))) (sqrt k)))>
11.250 * * * * [progress]: [ 59 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 60 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 61 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (sqrt k)))>
11.250 * * * * [progress]: [ 62 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 63 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 64 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2))) (sqrt k)))>
11.250 * * * * [progress]: [ 65 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 66 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 67 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2))) (sqrt k)))>
11.250 * * * * [progress]: [ 68 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 69 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2)))) (sqrt k)))>
11.250 * * * * [progress]: [ 70 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.250 * * * * [progress]: [ 71 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2)))) (sqrt k)))>
11.251 * * * * [progress]: [ 72 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2)))) (sqrt k)))>
11.251 * * * * [progress]: [ 73 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.251 * * * * [progress]: [ 74 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2)))) (sqrt k)))>
11.251 * * * * [progress]: [ 75 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2)))) (sqrt k)))>
11.251 * * * * [progress]: [ 76 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2))) (sqrt k)))>
11.251 * * * * [progress]: [ 77 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.251 * * * * [progress]: [ 78 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2))) (sqrt k)))>
11.251 * * * * [progress]: [ 79 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.251 * * * * [progress]: [ 80 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1)) (sqrt k)))>
11.251 * * * * [progress]: [ 81 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.251 * * * * [progress]: [ 82 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.251 * * * * [progress]: [ 83 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.251 * * * * [progress]: [ 84 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.251 * * * * [progress]: [ 85 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.251 * * * * [progress]: [ 86 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.251 * * * * [progress]: [ 87 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt k)))>
11.251 * * * * [progress]: [ 88 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.251 * * * * [progress]: [ 89 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.251 * * * * [progress]: [ 90 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.251 * * * * [progress]: [ 91 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.251 * * * * [progress]: [ 92 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.251 * * * * [progress]: [ 93 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.251 * * * * [progress]: [ 94 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 95 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 96 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 97 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 98 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 99 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 100 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 101 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 102 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 103 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 104 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 105 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 106 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 107 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 108 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 109 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 110 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 111 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 112 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 113 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 114 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.252 * * * * [progress]: [ 115 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.253 * * * * [progress]: [ 116 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.253 * * * * [progress]: [ 117 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.253 * * * * [progress]: [ 118 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.253 * * * * [progress]: [ 119 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.253 * * * * [progress]: [ 120 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.253 * * * * [progress]: [ 121 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.253 * * * * [progress]: [ 122 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.253 * * * * [progress]: [ 123 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.253 * * * * [progress]: [ 124 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.253 * * * * [progress]: [ 125 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.253 * * * * [progress]: [ 126 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.253 * * * * [progress]: [ 127 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 128 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 129 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 130 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 131 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 132 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 133 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 134 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 135 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 136 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 137 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 138 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 139 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 140 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 141 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 142 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 143 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 144 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 145 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.254 * * * * [progress]: [ 146 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 147 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 148 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 149 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 150 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 151 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 152 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 153 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 154 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 155 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 156 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 157 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 158 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 159 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 160 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 161 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 162 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 163 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 164 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 165 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 166 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 167 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 168 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.255 * * * * [progress]: [ 169 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.256 * * * * [progress]: [ 170 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.256 * * * * [progress]: [ 171 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.256 * * * * [progress]: [ 172 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.256 * * * * [progress]: [ 173 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.256 * * * * [progress]: [ 174 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.256 * * * * [progress]: [ 175 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.256 * * * * [progress]: [ 176 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.256 * * * * [progress]: [ 177 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.256 * * * * [progress]: [ 178 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n (* 2 PI)) (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))>
11.256 * * * * [progress]: [ 179 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 2) (sqrt k)))>
11.256 * * * * [progress]: [ 180 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 1) (sqrt k)))>
11.256 * * * * [progress]: [ 181 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.256 * * * * [progress]: [ 182 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.256 * * * * [progress]: [ 183 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.256 * * * * [progress]: [ 184 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.256 * * * * [progress]: [ 185 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.256 * * * * [progress]: [ 186 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.256 * * * * [progress]: [ 187 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.256 * * * * [progress]: [ 188 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.256 * * * * [progress]: [ 189 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.256 * * * * [progress]: [ 190 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.256 * * * * [progress]: [ 191 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.256 * * * * [progress]: [ 192 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.256 * * * * [progress]: [ 193 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 194 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 195 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.257 * * * * [progress]: [ 196 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 197 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 198 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 199 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 200 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.257 * * * * [progress]: [ 201 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 202 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 203 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 204 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 205 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.257 * * * * [progress]: [ 206 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.257 * * * * [progress]: [ 207 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.257 * * * * [progress]: [ 208 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.257 * * * * [progress]: [ 209 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (cbrt (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.257 * * * * [progress]: [ 210 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.257 * * * * [progress]: [ 211 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.257 * * * * [progress]: [ 212 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 213 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 214 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.257 * * * * [progress]: [ 215 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.257 * * * * [progress]: [ 216 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.257 * * * * [progress]: [ 217 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 1) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.258 * * * * [progress]: [ 218 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt k)))>
11.258 * * * * [progress]: [ 219 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.258 * * * * [progress]: [ 220 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt k)))>
11.258 * * * * [progress]: [ 221 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.258 * * * * [progress]: [ 222 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt k)))>
11.258 * * * * [progress]: [ 223 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 2 (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.258 * * * * [progress]: [ 224 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.258 * * * * [progress]: [ 225 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.258 * * * * [progress]: [ 226 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.258 * * * * [progress]: [ 227 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.258 * * * * [progress]: [ 228 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt k)))>
11.258 * * * * [progress]: [ 229 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.258 * * * * [progress]: [ 230 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.258 * * * * [progress]: [ 231 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.258 * * * * [progress]: [ 232 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.258 * * * * [progress]: [ 233 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))>
11.258 * * * * [progress]: [ 234 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2))) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (sqrt k)))>
11.258 * * * * [progress]: [ 235 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (sqrt k)))>
11.258 * * * * [progress]: [ 236 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))>
11.258 * * * * [progress]: [ 237 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.258 * * * * [progress]: [ 238 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.258 * * * * [progress]: [ 239 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.258 * * * * [progress]: [ 240 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.258 * * * * [progress]: [ 241 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 242 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 243 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (exp (log (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 244 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (log (exp (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 245 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 246 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 247 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 248 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 249 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 250 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 251 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 252 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 253 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 254 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 255 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 256 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 257 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))) (sqrt k)))>
11.259 * * * * [progress]: [ 258 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))) (sqrt k)))>
11.259 * * * * [progress]: [ 259 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k)))>
11.259 * * * * [progress]: [ 260 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 261 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 262 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.259 * * * * [progress]: [ 263 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/4 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI)))))) (+ (* 1/8 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)))) (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) k))))) (sqrt k)))>
11.260 * * * * [progress]: [ 264 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) (sqrt k)))>
11.260 * * * * [progress]: [ 265 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2) (sqrt k)))>
11.260 * * * * [progress]: [ 266 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.260 * * * * [progress]: [ 267 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.260 * * * * [progress]: [ 268 / 268 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
11.262 * [simplify]: Simplifying:
  (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ 1 2) 2))
  (pow (* n (* 2 PI)) (/ (/ k 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (- 1 k) 1))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (/ (- 1 k) 2))
  (pow n (/ (/ (- 1 k) 2) 2))
  (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))
  (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ 1 2) 2))
  (pow (* n (* 2 PI)) (/ (/ k 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (- 1 k) 1))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (/ (- 1 k) 2))
  (pow n (/ (/ (- 1 k) 2) 2))
  (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))
  (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2))
  (* (* n (* 2 PI)) (* n (* 2 PI)))
  (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))
  (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (log (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (exp (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* (cbrt (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
  (cbrt (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (sqrt (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (sqrt (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2)))
  (* (pow n (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2)))
  (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))
  (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* 1 1)
  (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* 2 (/ (/ (- 1 k) 2) 2))
  (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
  (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1)
  (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (real->posit16 (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (log (* 2 PI)))
  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
  (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
  (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/4 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI)))))) (+ (* 1/8 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)))) (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) k)))))
  (pow (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2)
  (pow (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2)
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
11.267 * * [simplify]: iteration 1: (329 enodes)
11.391 * * [simplify]: iteration 2: (1537 enodes)
12.321 * * [simplify]: Extracting #0: cost 96 inf + 0
12.324 * * [simplify]: Extracting #1: cost 723 inf + 1
12.331 * * [simplify]: Extracting #2: cost 1259 inf + 5173
12.347 * * [simplify]: Extracting #3: cost 1436 inf + 30758
12.387 * * [simplify]: Extracting #4: cost 1168 inf + 128550
12.469 * * [simplify]: Extracting #5: cost 571 inf + 379279
12.607 * * [simplify]: Extracting #6: cost 97 inf + 602745
12.754 * * [simplify]: Extracting #7: cost 3 inf + 649670
12.880 * * [simplify]: Extracting #8: cost 0 inf + 651235
13.042 * [simplify]: Simplified to:
  (* (log (* n (* PI 2))) (/ (- 1 k) (* 2 2)))
  (* (log (* n (* PI 2))) (/ (- 1 k) (* 2 2)))
  (* (log (* n (* PI 2))) (/ (- 1 k) (* 2 2)))
  (* (log (* n (* PI 2))) (/ (- 1 k) (* 2 2)))
  (/ (- 1 k) (* 2 2))
  (/ (- 1 k) (* 2 2))
  (/ (- 1 k) (* 2 2))
  (pow (* n (* PI 2)) (/ (/ 1 2) 2))
  (pow (* n (* PI 2)) (/ k (* 2 2)))
  (pow (* n (* PI 2)) (* (cbrt (/ (- 1 k) (* 2 2))) (cbrt (/ (- 1 k) (* 2 2)))))
  (pow (* n (* PI 2)) (sqrt (/ (- 1 k) (* 2 2))))
  (pow (* n (* PI 2)) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (cbrt (/ (- 1 k) 2)) (/ (sqrt 2) (cbrt (/ (- 1 k) 2)))))
  (pow (* n (* PI 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* n (* PI 2)) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))
  (pow (* n (* PI 2)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* n (* PI 2)) (sqrt (/ (- 1 k) 2)))
  (pow (* n (* PI 2)) (* (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))))
  (pow (* n (* PI 2)) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* n (* PI 2)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 2))
  (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* n (* PI 2)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* n (* PI 2)) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* n (* PI 2)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) 2))
  (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* n (* PI 2)) (sqrt (- 1 k)))
  (pow (* n (* PI 2)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 2))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (* n (* PI 2))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) (sqrt 1)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* n (* PI 2)) (/ (/ (+ (sqrt k) (sqrt 1)) (cbrt 2)) (* (sqrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) (sqrt 1)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ (+ (sqrt k) (sqrt 1)) (cbrt 2)) (* (sqrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) (sqrt 1)) 2))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) (sqrt 1)) (sqrt 2)))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) (sqrt 1)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) (sqrt 1)) (sqrt 2)))
  (pow (* n (* PI 2)) (+ (sqrt k) (sqrt 1)))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) 2))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* n (* PI 2)) (+ (sqrt k) 1))
  (pow (* n (* PI 2)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 2))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (* n (* PI 2))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (* n (* PI 2))
  (pow (* n (* PI 2)) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (- 1 k) (sqrt 2)))
  (pow (* n (* PI 2)) (- 1 k))
  (* n (* PI 2))
  (pow (* n (* PI 2)) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) (* 2 2)))
  (pow (* PI 2) (/ (- 1 k) (* 2 2)))
  (* (log (* n (* PI 2))) (/ (- 1 k) (* 2 2)))
  (exp (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))
  (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))))
  (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))
  (* (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))) (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))))
  (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))
  (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))
  (pow (* n (* PI 2)) (/ (- 1 k) (* (* 2 2) 2)))
  (pow (* n (* PI 2)) (/ (- 1 k) (* (* 2 2) 2)))
  (real->posit16 (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))
  (* (log (* n (* PI 2))) (/ (- 1 k) (* 2 2)))
  (* (log (* n (* PI 2))) (/ (- 1 k) (* 2 2)))
  (* (log (* n (* PI 2))) (/ (- 1 k) (* 2 2)))
  (* (log (* n (* PI 2))) (/ (- 1 k) (* 2 2)))
  (/ (- 1 k) (* 2 2))
  (/ (- 1 k) (* 2 2))
  (/ (- 1 k) (* 2 2))
  (pow (* n (* PI 2)) (/ (/ 1 2) 2))
  (pow (* n (* PI 2)) (/ k (* 2 2)))
  (pow (* n (* PI 2)) (* (cbrt (/ (- 1 k) (* 2 2))) (cbrt (/ (- 1 k) (* 2 2)))))
  (pow (* n (* PI 2)) (sqrt (/ (- 1 k) (* 2 2))))
  (pow (* n (* PI 2)) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (cbrt (/ (- 1 k) 2)) (/ (sqrt 2) (cbrt (/ (- 1 k) 2)))))
  (pow (* n (* PI 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* n (* PI 2)) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))
  (pow (* n (* PI 2)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* n (* PI 2)) (sqrt (/ (- 1 k) 2)))
  (pow (* n (* PI 2)) (* (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))))
  (pow (* n (* PI 2)) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* n (* PI 2)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 2))
  (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* n (* PI 2)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* n (* PI 2)) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* n (* PI 2)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) 2))
  (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* n (* PI 2)) (sqrt (- 1 k)))
  (pow (* n (* PI 2)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 2))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (* n (* PI 2))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) (sqrt 1)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* n (* PI 2)) (/ (/ (+ (sqrt k) (sqrt 1)) (cbrt 2)) (* (sqrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) (sqrt 1)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ (+ (sqrt k) (sqrt 1)) (cbrt 2)) (* (sqrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) (sqrt 1)) 2))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) (sqrt 1)) (sqrt 2)))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) (sqrt 1)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) (sqrt 1)) (sqrt 2)))
  (pow (* n (* PI 2)) (+ (sqrt k) (sqrt 1)))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) 2))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* n (* PI 2)) (+ (sqrt k) 1))
  (pow (* n (* PI 2)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 2))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (* n (* PI 2))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (* n (* PI 2))
  (pow (* n (* PI 2)) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (- 1 k) (sqrt 2)))
  (pow (* n (* PI 2)) (- 1 k))
  (* n (* PI 2))
  (pow (* n (* PI 2)) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) (* 2 2)))
  (pow (* PI 2) (/ (- 1 k) (* 2 2)))
  (* (log (* n (* PI 2))) (/ (- 1 k) (* 2 2)))
  (exp (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))
  (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))))
  (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))
  (* (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))) (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))))
  (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))
  (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))
  (pow (* n (* PI 2)) (/ (- 1 k) (* (* 2 2) 2)))
  (pow (* n (* PI 2)) (/ (- 1 k) (* (* 2 2) 2)))
  (real->posit16 (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))
  (+ (/ (- 1 k) (* 2 2)) (/ (- 1 k) (* 2 2)))
  (* (* n (* PI 2)) (* n (* PI 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) (* 2 2)))
  (exp (pow (* n (* PI 2)) (/ (- 1 k) 2)))
  (* (* (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))) (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))) (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))))))
  (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))
  (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))
  (* (* (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))) (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))) (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))))))
  (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))
  (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))
  (pow (* n (* PI 2)) (/ 1 2))
  (pow (* n (* PI 2)) (/ (* 2 k) (* 2 2)))
  (pow n (* 2 (/ (- 1 k) (* 2 2))))
  (* (pow (* PI 2) (/ (- 1 k) (* 2 2))) (pow (* PI 2) (/ (- 1 k) (* 2 2))))
  (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))))
  (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))))
  (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))
  (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))
  1
  (pow (* n (* PI 2)) (/ (- 1 k) 2))
  (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))
  (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))
  (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))
  (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))
  (* (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))) (pow (* n (* PI 2)) (/ (- 1 k) (* (* 2 2) 2))))
  (* (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))) (pow (* n (* PI 2)) (/ (- 1 k) (* (* 2 2) 2))))
  (* (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))) (pow (* n (* PI 2)) (/ (- 1 k) (* (* 2 2) 2))))
  (* (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))) (pow (* n (* PI 2)) (/ (- 1 k) (* (* 2 2) 2))))
  (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))
  (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))
  (/ 2 (/ 2 (/ (- 1 k) 2)))
  (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (pow n (/ (- 1 k) (* 2 2))))
  (* (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))))
  (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))))
  (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))
  (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (pow (* n (* PI 2)) (/ (- 1 k) (* (* 2 2) 2))))
  (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (pow (* PI 2) (/ (- 1 k) (* 2 2))))
  (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))))
  (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2)))))
  (pow (* n (* PI 2)) (/ (- 1 k) 2))
  (* (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))) (pow (* n (* PI 2)) (/ (- 1 k) (* (* 2 2) 2))))
  (* (pow (* n (* PI 2)) (/ (/ 1 2) 2)) (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))
  (* (pow (* n (* PI 2)) (/ (/ 1 2) 2)) (pow (* n (* PI 2)) (/ (- 1 k) (* 2 2))))
  (real->posit16 (pow (* n (* PI 2)) (/ (- 1 k) 2)))
  (* n (* PI 2))
  (* n (* PI 2))
  (log (* n (* PI 2)))
  (log (* n (* PI 2)))
  (log (* n (* PI 2)))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))
  (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))
  (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2))))
  (cbrt (* n (* PI 2)))
  (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))
  (sqrt (* n (* PI 2)))
  (sqrt (* n (* PI 2)))
  (* n 2)
  (* (cbrt n) (* PI 2))
  (* (sqrt n) (* PI 2))
  (* n (* PI 2))
  (real->posit16 (* n (* PI 2)))
  (+ (+ (* (* (* 1/16 (log (* PI 2))) (exp (* 1/4 (log (* n (* PI 2)))))) (* k (* (log n) k))) (exp (* 1/4 (log (* n (* PI 2)))))) (- (* 1/32 (+ (* (* (* (log n) k) (* (log n) k)) (exp (* 1/4 (log (* n (* PI 2)))))) (* (* k (* k (exp (* 1/4 (log (* n (* PI 2))))))) (* (log (* PI 2)) (log (* PI 2)))))) (* 1/4 (* k (+ (* (log n) (exp (* 1/4 (log (* n (* PI 2)))))) (* (exp (* 1/4 (log (* n (* PI 2))))) (log (* PI 2))))))))
  (exp (* (* 1/4 (- 1 k)) (log (* n (* PI 2)))))
  (exp (* (* 1/4 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (+ (+ (* (* (* 1/16 (log (* PI 2))) (exp (* 1/4 (log (* n (* PI 2)))))) (* k (* (log n) k))) (exp (* 1/4 (log (* n (* PI 2)))))) (- (* 1/32 (+ (* (* (* (log n) k) (* (log n) k)) (exp (* 1/4 (log (* n (* PI 2)))))) (* (* k (* k (exp (* 1/4 (log (* n (* PI 2))))))) (* (log (* PI 2)) (log (* PI 2)))))) (* 1/4 (* k (+ (* (log n) (exp (* 1/4 (log (* n (* PI 2)))))) (* (exp (* 1/4 (log (* n (* PI 2))))) (log (* PI 2))))))))
  (exp (* (* 1/4 (- 1 k)) (log (* n (* PI 2)))))
  (exp (* (* 1/4 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (+ (+ (* (* 1/8 (* (* (log n) k) (* (log n) k))) (* (exp (* 1/4 (log (* n (* PI 2))))) (exp (* 1/4 (log (* n (* PI 2))))))) (* (* (* (log (* PI 2)) (log n)) (* (* k (exp (* 1/4 (log (* n (* PI 2)))))) (* k (exp (* 1/4 (log (* n (* PI 2)))))))) 1/4)) (- (+ (* (* 1/8 (* (* k (exp (* 1/4 (log (* n (* PI 2)))))) (* k (exp (* 1/4 (log (* n (* PI 2)))))))) (* (log (* PI 2)) (log (* PI 2)))) (* (exp (* 1/4 (log (* n (* PI 2))))) (exp (* 1/4 (log (* n (* PI 2))))))) (+ (* (* (log n) k) (* 1/2 (* (exp (* 1/4 (log (* n (* PI 2))))) (exp (* 1/4 (log (* n (* PI 2)))))))) (* (* k (* (exp (* 1/4 (log (* n (* PI 2))))) (exp (* 1/4 (log (* n (* PI 2))))))) (* 1/2 (log (* PI 2)))))))
  (* (exp (* (* 1/4 (- 1 k)) (log (* n (* PI 2))))) (exp (* (* 1/4 (- 1 k)) (log (* n (* PI 2))))))
  (* (exp (* (* 1/4 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (exp (* (* 1/4 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* n (* PI 2))
  (* n (* PI 2))
  (* n (* PI 2))
13.068 * * * [progress]: adding candidates to table
17.119 * * [progress]: iteration 4 / 4
17.119 * * * [progress]: picking best candidate
17.174 * * * * [pick]: Picked  #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.174 * * * [progress]: localizing error
17.254 * * * [progress]: generating rewritten candidates
17.254 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
17.283 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
17.288 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
17.293 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
17.317 * * * [progress]: generating series expansions
17.317 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
17.318 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
17.318 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
17.318 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
17.318 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
17.318 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
17.318 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
17.318 * [taylor]: Taking taylor expansion of 1/2 in k
17.318 * [backup-simplify]: Simplify 1/2 into 1/2
17.319 * [taylor]: Taking taylor expansion of (- 1 k) in k
17.319 * [taylor]: Taking taylor expansion of 1 in k
17.319 * [backup-simplify]: Simplify 1 into 1
17.319 * [taylor]: Taking taylor expansion of k in k
17.319 * [backup-simplify]: Simplify 0 into 0
17.319 * [backup-simplify]: Simplify 1 into 1
17.319 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
17.319 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
17.319 * [taylor]: Taking taylor expansion of 2 in k
17.319 * [backup-simplify]: Simplify 2 into 2
17.319 * [taylor]: Taking taylor expansion of (* n PI) in k
17.319 * [taylor]: Taking taylor expansion of n in k
17.319 * [backup-simplify]: Simplify n into n
17.319 * [taylor]: Taking taylor expansion of PI in k
17.319 * [backup-simplify]: Simplify PI into PI
17.319 * [backup-simplify]: Simplify (* n PI) into (* n PI)
17.319 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
17.319 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
17.320 * [backup-simplify]: Simplify (- 0) into 0
17.320 * [backup-simplify]: Simplify (+ 1 0) into 1
17.320 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.321 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
17.321 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
17.321 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
17.321 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
17.321 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
17.321 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
17.321 * [taylor]: Taking taylor expansion of 1/2 in n
17.321 * [backup-simplify]: Simplify 1/2 into 1/2
17.321 * [taylor]: Taking taylor expansion of (- 1 k) in n
17.321 * [taylor]: Taking taylor expansion of 1 in n
17.321 * [backup-simplify]: Simplify 1 into 1
17.321 * [taylor]: Taking taylor expansion of k in n
17.321 * [backup-simplify]: Simplify k into k
17.321 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.321 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.321 * [taylor]: Taking taylor expansion of 2 in n
17.321 * [backup-simplify]: Simplify 2 into 2
17.321 * [taylor]: Taking taylor expansion of (* n PI) in n
17.321 * [taylor]: Taking taylor expansion of n in n
17.321 * [backup-simplify]: Simplify 0 into 0
17.321 * [backup-simplify]: Simplify 1 into 1
17.321 * [taylor]: Taking taylor expansion of PI in n
17.321 * [backup-simplify]: Simplify PI into PI
17.322 * [backup-simplify]: Simplify (* 0 PI) into 0
17.322 * [backup-simplify]: Simplify (* 2 0) into 0
17.324 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.326 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.327 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.327 * [backup-simplify]: Simplify (- k) into (- k)
17.327 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
17.327 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
17.329 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.330 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
17.331 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
17.331 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
17.331 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
17.331 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
17.331 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
17.331 * [taylor]: Taking taylor expansion of 1/2 in n
17.331 * [backup-simplify]: Simplify 1/2 into 1/2
17.331 * [taylor]: Taking taylor expansion of (- 1 k) in n
17.331 * [taylor]: Taking taylor expansion of 1 in n
17.331 * [backup-simplify]: Simplify 1 into 1
17.331 * [taylor]: Taking taylor expansion of k in n
17.331 * [backup-simplify]: Simplify k into k
17.331 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.331 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.332 * [taylor]: Taking taylor expansion of 2 in n
17.332 * [backup-simplify]: Simplify 2 into 2
17.332 * [taylor]: Taking taylor expansion of (* n PI) in n
17.332 * [taylor]: Taking taylor expansion of n in n
17.332 * [backup-simplify]: Simplify 0 into 0
17.332 * [backup-simplify]: Simplify 1 into 1
17.332 * [taylor]: Taking taylor expansion of PI in n
17.332 * [backup-simplify]: Simplify PI into PI
17.332 * [backup-simplify]: Simplify (* 0 PI) into 0
17.333 * [backup-simplify]: Simplify (* 2 0) into 0
17.334 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.336 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.337 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.337 * [backup-simplify]: Simplify (- k) into (- k)
17.337 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
17.337 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
17.338 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.339 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
17.340 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
17.340 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
17.340 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
17.340 * [taylor]: Taking taylor expansion of 1/2 in k
17.340 * [backup-simplify]: Simplify 1/2 into 1/2
17.340 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
17.340 * [taylor]: Taking taylor expansion of (- 1 k) in k
17.340 * [taylor]: Taking taylor expansion of 1 in k
17.340 * [backup-simplify]: Simplify 1 into 1
17.340 * [taylor]: Taking taylor expansion of k in k
17.340 * [backup-simplify]: Simplify 0 into 0
17.340 * [backup-simplify]: Simplify 1 into 1
17.340 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
17.340 * [taylor]: Taking taylor expansion of (log n) in k
17.340 * [taylor]: Taking taylor expansion of n in k
17.340 * [backup-simplify]: Simplify n into n
17.340 * [backup-simplify]: Simplify (log n) into (log n)
17.340 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
17.340 * [taylor]: Taking taylor expansion of (* 2 PI) in k
17.340 * [taylor]: Taking taylor expansion of 2 in k
17.340 * [backup-simplify]: Simplify 2 into 2
17.340 * [taylor]: Taking taylor expansion of PI in k
17.340 * [backup-simplify]: Simplify PI into PI
17.340 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.341 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.341 * [backup-simplify]: Simplify (- 0) into 0
17.341 * [backup-simplify]: Simplify (+ 1 0) into 1
17.342 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.343 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
17.343 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
17.344 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
17.345 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
17.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
17.347 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.347 * [backup-simplify]: Simplify (- 0) into 0
17.348 * [backup-simplify]: Simplify (+ 0 0) into 0
17.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
17.349 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.349 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
17.351 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.351 * [taylor]: Taking taylor expansion of 0 in k
17.351 * [backup-simplify]: Simplify 0 into 0
17.351 * [backup-simplify]: Simplify 0 into 0
17.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
17.352 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.353 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.353 * [backup-simplify]: Simplify (+ 0 0) into 0
17.353 * [backup-simplify]: Simplify (- 1) into -1
17.354 * [backup-simplify]: Simplify (+ 0 -1) into -1
17.355 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
17.356 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
17.358 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
17.359 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
17.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
17.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
17.363 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
17.363 * [backup-simplify]: Simplify (- 0) into 0
17.363 * [backup-simplify]: Simplify (+ 0 0) into 0
17.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
17.365 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.366 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.368 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.368 * [taylor]: Taking taylor expansion of 0 in k
17.368 * [backup-simplify]: Simplify 0 into 0
17.368 * [backup-simplify]: Simplify 0 into 0
17.368 * [backup-simplify]: Simplify 0 into 0
17.370 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
17.371 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.374 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
17.375 * [backup-simplify]: Simplify (+ 0 0) into 0
17.375 * [backup-simplify]: Simplify (- 0) into 0
17.376 * [backup-simplify]: Simplify (+ 0 0) into 0
17.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.384 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
17.388 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
17.397 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
17.398 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
17.398 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
17.398 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
17.398 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
17.398 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
17.398 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
17.398 * [taylor]: Taking taylor expansion of 1/2 in k
17.398 * [backup-simplify]: Simplify 1/2 into 1/2
17.398 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
17.398 * [taylor]: Taking taylor expansion of 1 in k
17.398 * [backup-simplify]: Simplify 1 into 1
17.398 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.398 * [taylor]: Taking taylor expansion of k in k
17.399 * [backup-simplify]: Simplify 0 into 0
17.399 * [backup-simplify]: Simplify 1 into 1
17.399 * [backup-simplify]: Simplify (/ 1 1) into 1
17.399 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
17.399 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
17.399 * [taylor]: Taking taylor expansion of 2 in k
17.399 * [backup-simplify]: Simplify 2 into 2
17.399 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.399 * [taylor]: Taking taylor expansion of PI in k
17.399 * [backup-simplify]: Simplify PI into PI
17.399 * [taylor]: Taking taylor expansion of n in k
17.399 * [backup-simplify]: Simplify n into n
17.399 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.399 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
17.399 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
17.400 * [backup-simplify]: Simplify (- 1) into -1
17.400 * [backup-simplify]: Simplify (+ 0 -1) into -1
17.400 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
17.401 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
17.401 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
17.401 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
17.401 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
17.401 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
17.401 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
17.401 * [taylor]: Taking taylor expansion of 1/2 in n
17.401 * [backup-simplify]: Simplify 1/2 into 1/2
17.401 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
17.401 * [taylor]: Taking taylor expansion of 1 in n
17.401 * [backup-simplify]: Simplify 1 into 1
17.401 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.401 * [taylor]: Taking taylor expansion of k in n
17.401 * [backup-simplify]: Simplify k into k
17.401 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.401 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.401 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.401 * [taylor]: Taking taylor expansion of 2 in n
17.401 * [backup-simplify]: Simplify 2 into 2
17.401 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.401 * [taylor]: Taking taylor expansion of PI in n
17.401 * [backup-simplify]: Simplify PI into PI
17.401 * [taylor]: Taking taylor expansion of n in n
17.401 * [backup-simplify]: Simplify 0 into 0
17.401 * [backup-simplify]: Simplify 1 into 1
17.402 * [backup-simplify]: Simplify (/ PI 1) into PI
17.402 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.403 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.403 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
17.403 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
17.404 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
17.405 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.406 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
17.407 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
17.407 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
17.407 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
17.407 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
17.407 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
17.407 * [taylor]: Taking taylor expansion of 1/2 in n
17.407 * [backup-simplify]: Simplify 1/2 into 1/2
17.407 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
17.407 * [taylor]: Taking taylor expansion of 1 in n
17.407 * [backup-simplify]: Simplify 1 into 1
17.407 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.407 * [taylor]: Taking taylor expansion of k in n
17.407 * [backup-simplify]: Simplify k into k
17.408 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.408 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.408 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.408 * [taylor]: Taking taylor expansion of 2 in n
17.408 * [backup-simplify]: Simplify 2 into 2
17.408 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.408 * [taylor]: Taking taylor expansion of PI in n
17.408 * [backup-simplify]: Simplify PI into PI
17.408 * [taylor]: Taking taylor expansion of n in n
17.408 * [backup-simplify]: Simplify 0 into 0
17.408 * [backup-simplify]: Simplify 1 into 1
17.408 * [backup-simplify]: Simplify (/ PI 1) into PI
17.409 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.410 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.410 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
17.410 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
17.410 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
17.411 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.412 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
17.414 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
17.414 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
17.414 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
17.414 * [taylor]: Taking taylor expansion of 1/2 in k
17.414 * [backup-simplify]: Simplify 1/2 into 1/2
17.414 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
17.414 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
17.414 * [taylor]: Taking taylor expansion of 1 in k
17.414 * [backup-simplify]: Simplify 1 into 1
17.414 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.414 * [taylor]: Taking taylor expansion of k in k
17.414 * [backup-simplify]: Simplify 0 into 0
17.414 * [backup-simplify]: Simplify 1 into 1
17.414 * [backup-simplify]: Simplify (/ 1 1) into 1
17.414 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
17.414 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
17.414 * [taylor]: Taking taylor expansion of (* 2 PI) in k
17.414 * [taylor]: Taking taylor expansion of 2 in k
17.414 * [backup-simplify]: Simplify 2 into 2
17.414 * [taylor]: Taking taylor expansion of PI in k
17.415 * [backup-simplify]: Simplify PI into PI
17.415 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.416 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.416 * [taylor]: Taking taylor expansion of (log n) in k
17.416 * [taylor]: Taking taylor expansion of n in k
17.416 * [backup-simplify]: Simplify n into n
17.416 * [backup-simplify]: Simplify (log n) into (log n)
17.416 * [backup-simplify]: Simplify (- 1) into -1
17.417 * [backup-simplify]: Simplify (+ 0 -1) into -1
17.417 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.418 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
17.418 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
17.419 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
17.420 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
17.420 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
17.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.422 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.423 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.423 * [backup-simplify]: Simplify (- 0) into 0
17.423 * [backup-simplify]: Simplify (+ 0 0) into 0
17.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
17.425 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.425 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
17.429 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.429 * [taylor]: Taking taylor expansion of 0 in k
17.429 * [backup-simplify]: Simplify 0 into 0
17.429 * [backup-simplify]: Simplify 0 into 0
17.429 * [backup-simplify]: Simplify 0 into 0
17.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.432 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
17.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.433 * [backup-simplify]: Simplify (- 0) into 0
17.433 * [backup-simplify]: Simplify (+ 0 0) into 0
17.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
17.435 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.436 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
17.437 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.437 * [taylor]: Taking taylor expansion of 0 in k
17.437 * [backup-simplify]: Simplify 0 into 0
17.437 * [backup-simplify]: Simplify 0 into 0
17.437 * [backup-simplify]: Simplify 0 into 0
17.437 * [backup-simplify]: Simplify 0 into 0
17.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.442 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
17.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.442 * [backup-simplify]: Simplify (- 0) into 0
17.442 * [backup-simplify]: Simplify (+ 0 0) into 0
17.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
17.444 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.445 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
17.448 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.448 * [taylor]: Taking taylor expansion of 0 in k
17.448 * [backup-simplify]: Simplify 0 into 0
17.448 * [backup-simplify]: Simplify 0 into 0
17.449 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
17.450 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
17.450 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
17.450 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
17.450 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
17.450 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
17.450 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
17.450 * [taylor]: Taking taylor expansion of 1/2 in k
17.450 * [backup-simplify]: Simplify 1/2 into 1/2
17.450 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
17.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.450 * [taylor]: Taking taylor expansion of k in k
17.450 * [backup-simplify]: Simplify 0 into 0
17.450 * [backup-simplify]: Simplify 1 into 1
17.451 * [backup-simplify]: Simplify (/ 1 1) into 1
17.451 * [taylor]: Taking taylor expansion of 1 in k
17.451 * [backup-simplify]: Simplify 1 into 1
17.451 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
17.451 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
17.451 * [taylor]: Taking taylor expansion of -2 in k
17.451 * [backup-simplify]: Simplify -2 into -2
17.451 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.451 * [taylor]: Taking taylor expansion of PI in k
17.451 * [backup-simplify]: Simplify PI into PI
17.451 * [taylor]: Taking taylor expansion of n in k
17.451 * [backup-simplify]: Simplify n into n
17.451 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.451 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
17.451 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
17.452 * [backup-simplify]: Simplify (+ 1 0) into 1
17.452 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.452 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
17.453 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
17.453 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
17.453 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
17.453 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
17.453 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
17.453 * [taylor]: Taking taylor expansion of 1/2 in n
17.453 * [backup-simplify]: Simplify 1/2 into 1/2
17.453 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
17.453 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.453 * [taylor]: Taking taylor expansion of k in n
17.453 * [backup-simplify]: Simplify k into k
17.453 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.453 * [taylor]: Taking taylor expansion of 1 in n
17.453 * [backup-simplify]: Simplify 1 into 1
17.453 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
17.453 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.453 * [taylor]: Taking taylor expansion of -2 in n
17.453 * [backup-simplify]: Simplify -2 into -2
17.453 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.453 * [taylor]: Taking taylor expansion of PI in n
17.453 * [backup-simplify]: Simplify PI into PI
17.453 * [taylor]: Taking taylor expansion of n in n
17.453 * [backup-simplify]: Simplify 0 into 0
17.453 * [backup-simplify]: Simplify 1 into 1
17.454 * [backup-simplify]: Simplify (/ PI 1) into PI
17.454 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.455 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.455 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
17.456 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
17.457 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.458 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
17.459 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
17.459 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
17.459 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
17.459 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
17.459 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
17.460 * [taylor]: Taking taylor expansion of 1/2 in n
17.460 * [backup-simplify]: Simplify 1/2 into 1/2
17.460 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
17.460 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.460 * [taylor]: Taking taylor expansion of k in n
17.460 * [backup-simplify]: Simplify k into k
17.460 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.460 * [taylor]: Taking taylor expansion of 1 in n
17.460 * [backup-simplify]: Simplify 1 into 1
17.460 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
17.460 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.460 * [taylor]: Taking taylor expansion of -2 in n
17.460 * [backup-simplify]: Simplify -2 into -2
17.460 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.460 * [taylor]: Taking taylor expansion of PI in n
17.460 * [backup-simplify]: Simplify PI into PI
17.460 * [taylor]: Taking taylor expansion of n in n
17.460 * [backup-simplify]: Simplify 0 into 0
17.460 * [backup-simplify]: Simplify 1 into 1
17.460 * [backup-simplify]: Simplify (/ PI 1) into PI
17.461 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.462 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.462 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
17.462 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
17.464 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.465 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
17.466 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
17.466 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
17.466 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
17.466 * [taylor]: Taking taylor expansion of 1/2 in k
17.466 * [backup-simplify]: Simplify 1/2 into 1/2
17.466 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
17.466 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
17.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.467 * [taylor]: Taking taylor expansion of k in k
17.467 * [backup-simplify]: Simplify 0 into 0
17.467 * [backup-simplify]: Simplify 1 into 1
17.467 * [backup-simplify]: Simplify (/ 1 1) into 1
17.467 * [taylor]: Taking taylor expansion of 1 in k
17.467 * [backup-simplify]: Simplify 1 into 1
17.467 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
17.467 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
17.467 * [taylor]: Taking taylor expansion of (* -2 PI) in k
17.467 * [taylor]: Taking taylor expansion of -2 in k
17.467 * [backup-simplify]: Simplify -2 into -2
17.467 * [taylor]: Taking taylor expansion of PI in k
17.467 * [backup-simplify]: Simplify PI into PI
17.468 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.469 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.469 * [taylor]: Taking taylor expansion of (log n) in k
17.469 * [taylor]: Taking taylor expansion of n in k
17.469 * [backup-simplify]: Simplify n into n
17.469 * [backup-simplify]: Simplify (log n) into (log n)
17.469 * [backup-simplify]: Simplify (+ 1 0) into 1
17.469 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.471 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
17.472 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
17.473 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
17.474 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
17.475 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
17.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.477 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
17.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
17.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.479 * [backup-simplify]: Simplify (+ 0 0) into 0
17.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
17.481 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.482 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
17.483 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.483 * [taylor]: Taking taylor expansion of 0 in k
17.483 * [backup-simplify]: Simplify 0 into 0
17.484 * [backup-simplify]: Simplify 0 into 0
17.484 * [backup-simplify]: Simplify 0 into 0
17.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.485 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
17.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
17.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.489 * [backup-simplify]: Simplify (+ 0 0) into 0
17.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
17.491 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.493 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
17.495 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.495 * [taylor]: Taking taylor expansion of 0 in k
17.495 * [backup-simplify]: Simplify 0 into 0
17.495 * [backup-simplify]: Simplify 0 into 0
17.495 * [backup-simplify]: Simplify 0 into 0
17.495 * [backup-simplify]: Simplify 0 into 0
17.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.497 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.503 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
17.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.503 * [backup-simplify]: Simplify (+ 0 0) into 0
17.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
17.506 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.507 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
17.510 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.510 * [taylor]: Taking taylor expansion of 0 in k
17.510 * [backup-simplify]: Simplify 0 into 0
17.510 * [backup-simplify]: Simplify 0 into 0
17.511 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
17.511 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
17.511 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
17.511 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
17.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.512 * [taylor]: Taking taylor expansion of k in k
17.512 * [backup-simplify]: Simplify 0 into 0
17.512 * [backup-simplify]: Simplify 1 into 1
17.512 * [backup-simplify]: Simplify (/ 1 1) into 1
17.512 * [backup-simplify]: Simplify (sqrt 0) into 0
17.514 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.514 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.514 * [taylor]: Taking taylor expansion of k in k
17.514 * [backup-simplify]: Simplify 0 into 0
17.514 * [backup-simplify]: Simplify 1 into 1
17.514 * [backup-simplify]: Simplify (/ 1 1) into 1
17.515 * [backup-simplify]: Simplify (sqrt 0) into 0
17.516 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.516 * [backup-simplify]: Simplify 0 into 0
17.516 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.519 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.519 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.524 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.525 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
17.525 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
17.525 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
17.525 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.525 * [taylor]: Taking taylor expansion of k in k
17.525 * [backup-simplify]: Simplify 0 into 0
17.525 * [backup-simplify]: Simplify 1 into 1
17.525 * [backup-simplify]: Simplify (sqrt 0) into 0
17.527 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.527 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.527 * [taylor]: Taking taylor expansion of k in k
17.527 * [backup-simplify]: Simplify 0 into 0
17.527 * [backup-simplify]: Simplify 1 into 1
17.527 * [backup-simplify]: Simplify (sqrt 0) into 0
17.528 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.528 * [backup-simplify]: Simplify 0 into 0
17.528 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.532 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.532 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.536 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.537 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
17.537 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
17.537 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
17.537 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
17.537 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.537 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.537 * [taylor]: Taking taylor expansion of -1 in k
17.537 * [backup-simplify]: Simplify -1 into -1
17.537 * [taylor]: Taking taylor expansion of k in k
17.537 * [backup-simplify]: Simplify 0 into 0
17.537 * [backup-simplify]: Simplify 1 into 1
17.538 * [backup-simplify]: Simplify (/ -1 1) into -1
17.538 * [backup-simplify]: Simplify (sqrt 0) into 0
17.539 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.540 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
17.540 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
17.540 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.540 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.540 * [taylor]: Taking taylor expansion of -1 in k
17.540 * [backup-simplify]: Simplify -1 into -1
17.540 * [taylor]: Taking taylor expansion of k in k
17.540 * [backup-simplify]: Simplify 0 into 0
17.540 * [backup-simplify]: Simplify 1 into 1
17.540 * [backup-simplify]: Simplify (/ -1 1) into -1
17.541 * [backup-simplify]: Simplify (sqrt 0) into 0
17.542 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.543 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
17.543 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.547 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.549 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
17.550 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.561 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
17.562 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.563 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
17.563 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
17.563 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
17.563 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
17.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.563 * [taylor]: Taking taylor expansion of k in k
17.563 * [backup-simplify]: Simplify 0 into 0
17.563 * [backup-simplify]: Simplify 1 into 1
17.563 * [backup-simplify]: Simplify (/ 1 1) into 1
17.564 * [backup-simplify]: Simplify (sqrt 0) into 0
17.565 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.565 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.565 * [taylor]: Taking taylor expansion of k in k
17.565 * [backup-simplify]: Simplify 0 into 0
17.565 * [backup-simplify]: Simplify 1 into 1
17.566 * [backup-simplify]: Simplify (/ 1 1) into 1
17.566 * [backup-simplify]: Simplify (sqrt 0) into 0
17.568 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.568 * [backup-simplify]: Simplify 0 into 0
17.568 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.572 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.572 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.577 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.577 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
17.578 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
17.578 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
17.578 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.578 * [taylor]: Taking taylor expansion of k in k
17.578 * [backup-simplify]: Simplify 0 into 0
17.578 * [backup-simplify]: Simplify 1 into 1
17.578 * [backup-simplify]: Simplify (sqrt 0) into 0
17.579 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.580 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.580 * [taylor]: Taking taylor expansion of k in k
17.580 * [backup-simplify]: Simplify 0 into 0
17.580 * [backup-simplify]: Simplify 1 into 1
17.580 * [backup-simplify]: Simplify (sqrt 0) into 0
17.581 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.581 * [backup-simplify]: Simplify 0 into 0
17.581 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.584 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.584 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.589 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.589 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
17.590 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
17.590 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
17.590 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
17.590 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.590 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.590 * [taylor]: Taking taylor expansion of -1 in k
17.590 * [backup-simplify]: Simplify -1 into -1
17.590 * [taylor]: Taking taylor expansion of k in k
17.590 * [backup-simplify]: Simplify 0 into 0
17.590 * [backup-simplify]: Simplify 1 into 1
17.590 * [backup-simplify]: Simplify (/ -1 1) into -1
17.591 * [backup-simplify]: Simplify (sqrt 0) into 0
17.592 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.593 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
17.593 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
17.593 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.593 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.593 * [taylor]: Taking taylor expansion of -1 in k
17.593 * [backup-simplify]: Simplify -1 into -1
17.593 * [taylor]: Taking taylor expansion of k in k
17.593 * [backup-simplify]: Simplify 0 into 0
17.593 * [backup-simplify]: Simplify 1 into 1
17.593 * [backup-simplify]: Simplify (/ -1 1) into -1
17.594 * [backup-simplify]: Simplify (sqrt 0) into 0
17.595 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.595 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
17.596 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.600 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.603 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
17.603 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.612 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
17.613 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.614 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
17.614 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
17.614 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
17.614 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
17.614 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.615 * [taylor]: Taking taylor expansion of 2 in n
17.615 * [backup-simplify]: Simplify 2 into 2
17.615 * [taylor]: Taking taylor expansion of (* n PI) in n
17.615 * [taylor]: Taking taylor expansion of n in n
17.615 * [backup-simplify]: Simplify 0 into 0
17.615 * [backup-simplify]: Simplify 1 into 1
17.615 * [taylor]: Taking taylor expansion of PI in n
17.615 * [backup-simplify]: Simplify PI into PI
17.615 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.615 * [taylor]: Taking taylor expansion of 2 in n
17.615 * [backup-simplify]: Simplify 2 into 2
17.615 * [taylor]: Taking taylor expansion of (* n PI) in n
17.615 * [taylor]: Taking taylor expansion of n in n
17.615 * [backup-simplify]: Simplify 0 into 0
17.615 * [backup-simplify]: Simplify 1 into 1
17.615 * [taylor]: Taking taylor expansion of PI in n
17.615 * [backup-simplify]: Simplify PI into PI
17.615 * [backup-simplify]: Simplify (* 0 PI) into 0
17.616 * [backup-simplify]: Simplify (* 2 0) into 0
17.616 * [backup-simplify]: Simplify 0 into 0
17.618 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.619 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.620 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.622 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
17.622 * [backup-simplify]: Simplify 0 into 0
17.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
17.625 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
17.625 * [backup-simplify]: Simplify 0 into 0
17.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.628 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
17.628 * [backup-simplify]: Simplify 0 into 0
17.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.631 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
17.631 * [backup-simplify]: Simplify 0 into 0
17.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.635 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
17.635 * [backup-simplify]: Simplify 0 into 0
17.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
17.639 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
17.639 * [backup-simplify]: Simplify 0 into 0
17.639 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
17.640 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
17.640 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
17.640 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.640 * [taylor]: Taking taylor expansion of 2 in n
17.640 * [backup-simplify]: Simplify 2 into 2
17.640 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.640 * [taylor]: Taking taylor expansion of PI in n
17.640 * [backup-simplify]: Simplify PI into PI
17.640 * [taylor]: Taking taylor expansion of n in n
17.640 * [backup-simplify]: Simplify 0 into 0
17.640 * [backup-simplify]: Simplify 1 into 1
17.641 * [backup-simplify]: Simplify (/ PI 1) into PI
17.641 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.641 * [taylor]: Taking taylor expansion of 2 in n
17.641 * [backup-simplify]: Simplify 2 into 2
17.641 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.641 * [taylor]: Taking taylor expansion of PI in n
17.641 * [backup-simplify]: Simplify PI into PI
17.641 * [taylor]: Taking taylor expansion of n in n
17.641 * [backup-simplify]: Simplify 0 into 0
17.641 * [backup-simplify]: Simplify 1 into 1
17.642 * [backup-simplify]: Simplify (/ PI 1) into PI
17.642 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.643 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.644 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.644 * [backup-simplify]: Simplify 0 into 0
17.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.647 * [backup-simplify]: Simplify 0 into 0
17.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.649 * [backup-simplify]: Simplify 0 into 0
17.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.652 * [backup-simplify]: Simplify 0 into 0
17.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.654 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.654 * [backup-simplify]: Simplify 0 into 0
17.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.657 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.658 * [backup-simplify]: Simplify 0 into 0
17.658 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
17.659 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
17.659 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
17.659 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.659 * [taylor]: Taking taylor expansion of -2 in n
17.659 * [backup-simplify]: Simplify -2 into -2
17.659 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.659 * [taylor]: Taking taylor expansion of PI in n
17.659 * [backup-simplify]: Simplify PI into PI
17.659 * [taylor]: Taking taylor expansion of n in n
17.659 * [backup-simplify]: Simplify 0 into 0
17.659 * [backup-simplify]: Simplify 1 into 1
17.659 * [backup-simplify]: Simplify (/ PI 1) into PI
17.659 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.659 * [taylor]: Taking taylor expansion of -2 in n
17.660 * [backup-simplify]: Simplify -2 into -2
17.660 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.660 * [taylor]: Taking taylor expansion of PI in n
17.660 * [backup-simplify]: Simplify PI into PI
17.660 * [taylor]: Taking taylor expansion of n in n
17.660 * [backup-simplify]: Simplify 0 into 0
17.660 * [backup-simplify]: Simplify 1 into 1
17.660 * [backup-simplify]: Simplify (/ PI 1) into PI
17.661 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.661 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.663 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
17.663 * [backup-simplify]: Simplify 0 into 0
17.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.665 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
17.665 * [backup-simplify]: Simplify 0 into 0
17.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.667 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.667 * [backup-simplify]: Simplify 0 into 0
17.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.670 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.670 * [backup-simplify]: Simplify 0 into 0
17.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.673 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.673 * [backup-simplify]: Simplify 0 into 0
17.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.676 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.676 * [backup-simplify]: Simplify 0 into 0
17.677 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
17.677 * * * [progress]: simplifying candidates
17.677 * * * * [progress]: [ 1 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))))))>
17.677 * * * * [progress]: [ 2 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))))))>
17.677 * * * * [progress]: [ 3 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))))))>
17.677 * * * * [progress]: [ 4 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))))))>
17.677 * * * * [progress]: [ 5 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))))>
17.677 * * * * [progress]: [ 6 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))))>
17.677 * * * * [progress]: [ 7 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))))>
17.678 * * * * [progress]: [ 8 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2))))))>
17.678 * * * * [progress]: [ 9 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))>
17.678 * * * * [progress]: [ 10 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))>
17.678 * * * * [progress]: [ 11 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))>
17.678 * * * * [progress]: [ 12 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))>
17.678 * * * * [progress]: [ 13 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))))>
17.678 * * * * [progress]: [ 14 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))>
17.678 * * * * [progress]: [ 15 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))>
17.678 * * * * [progress]: [ 16 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))))>
17.678 * * * * [progress]: [ 17 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
17.678 * * * * [progress]: [ 18 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))>
17.678 * * * * [progress]: [ 19 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))))>
17.678 * * * * [progress]: [ 20 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))))))>
17.679 * * * * [progress]: [ 21 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))))))>
17.679 * * * * [progress]: [ 22 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)))))>
17.679 * * * * [progress]: [ 23 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))>
17.679 * * * * [progress]: [ 24 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))>
17.679 * * * * [progress]: [ 25 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))>
17.679 * * * * [progress]: [ 26 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
17.679 * * * * [progress]: [ 27 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))>
17.679 * * * * [progress]: [ 28 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))))>
17.679 * * * * [progress]: [ 29 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))))>
17.679 * * * * [progress]: [ 30 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2)))))>
17.679 * * * * [progress]: [ 31 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))))>
17.679 * * * * [progress]: [ 32 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1))))>
17.679 * * * * [progress]: [ 33 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))))>
17.680 * * * * [progress]: [ 34 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))))>
17.680 * * * * [progress]: [ 35 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))))>
17.680 * * * * [progress]: [ 36 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))))>
17.680 * * * * [progress]: [ 37 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))))>
17.680 * * * * [progress]: [ 38 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
17.680 * * * * [progress]: [ 39 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))>
17.680 * * * * [progress]: [ 40 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))))>
17.680 * * * * [progress]: [ 41 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (pow (sqrt k) -1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.680 * * * * [progress]: [ 42 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (pow k (- 1/2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.680 * * * * [progress]: [ 43 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (pow (sqrt k) (- 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.680 * * * * [progress]: [ 44 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (pow k (- (/ 1 2)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.680 * * * * [progress]: [ 45 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (pow (/ 1 (sqrt k)) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.680 * * * * [progress]: [ 46 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (exp (- (log (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.680 * * * * [progress]: [ 47 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (exp (- 0 (log (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 48 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (exp (- (log 1) (log (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 49 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (exp (log (/ 1 (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 50 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (log (exp (/ 1 (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 51 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 52 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 53 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 54 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 55 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (- 1) (- (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 56 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 57 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 58 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 59 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 60 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.681 * * * * [progress]: [ 61 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 62 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 63 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 64 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 65 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 66 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 67 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 68 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 69 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 70 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 71 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ 1 (sqrt 1)) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 72 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 73 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (/ 1 1) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 74 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* 1 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.682 * * * * [progress]: [ 75 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* 1 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 76 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (/ (sqrt k) 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 77 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 78 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 79 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 80 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (/ 1 (sqrt 1)) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 81 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 82 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (/ 1 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 83 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 84 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (sqrt 1) (/ (sqrt k) (sqrt 1)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 85 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (/ (sqrt k) 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 86 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (posit16->real (real->posit16 (/ 1 (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 87 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (sqrt k) -1)) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 88 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow k (- 1/2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.683 * * * * [progress]: [ 89 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (sqrt k) (- 1))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 90 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow k (- (/ 1 2)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 91 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (/ 1 (sqrt k)) 1)) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 92 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (exp (- (log (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 93 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (exp (- 0 (log (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 94 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (exp (- (log 1) (log (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 95 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (exp (log (/ 1 (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 96 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (log (exp (/ 1 (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 97 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 98 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 99 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 100 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 101 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (- 1) (- (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 102 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.684 * * * * [progress]: [ 103 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 104 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 105 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 106 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 107 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 108 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 109 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 110 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 111 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 112 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 113 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 114 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 115 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.685 * * * * [progress]: [ 116 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 117 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt 1)) (/ 1 (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 118 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 119 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 1) (/ 1 (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 120 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* 1 (/ 1 (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 121 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* 1 (/ 1 (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 122 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) 1))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 123 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 124 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 125 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 126 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ 1 (sqrt 1)) (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 127 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 128 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ 1 1) (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 129 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 130 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt 1) (/ (sqrt k) (sqrt 1)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.686 * * * * [progress]: [ 131 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) 1))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 132 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (posit16->real (real->posit16 (/ 1 (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 133 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 134 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 135 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 136 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 137 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 138 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 139 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 140 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 141 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 142 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 143 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 144 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2)))))>
17.687 * * * * [progress]: [ 145 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
17.688 * * * * [progress]: [ 146 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))))>
17.688 * * * * [progress]: [ 147 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))))>
17.688 * * * * [progress]: [ 148 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2)))))>
17.688 * * * * [progress]: [ 149 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))))>
17.688 * * * * [progress]: [ 150 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2)))))>
17.688 * * * * [progress]: [ 151 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
17.688 * * * * [progress]: [ 152 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))))))>
17.688 * * * * [progress]: [ 153 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
17.688 * * * * [progress]: [ 154 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
17.688 * * * * [progress]: [ 155 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.688 * * * * [progress]: [ 156 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.688 * * * * [progress]: [ 157 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.688 * * * * [progress]: [ 158 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.688 * * * * [progress]: [ 159 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.688 * * * * [progress]: [ 160 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
17.689 * * * * [progress]: [ 161 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
17.689 * * * * [progress]: [ 162 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
17.689 * * * * [progress]: [ 163 / 163 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
17.691 * [simplify]: Simplifying:
  (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))
  (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* (* 2 PI) n) (/ 1 2))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) 1)
  (pow (* (* 2 PI) n) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (- 1/2)
  (- 1)
  (- (/ 1 2))
  (- (log (sqrt k)))
  (- 0 (log (sqrt k)))
  (- (log 1) (log (sqrt k)))
  (log (/ 1 (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (- 1)
  (- (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1) (cbrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1) (sqrt (cbrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (sqrt k))
  (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1) (cbrt (sqrt k)))
  (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1)
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ (sqrt k) (cbrt 1))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) 1)
  (real->posit16 (/ 1 (sqrt k)))
  (- 1/2)
  (- 1)
  (- (/ 1 2))
  (- (log (sqrt k)))
  (- 0 (log (sqrt k)))
  (- (log 1) (log (sqrt k)))
  (log (/ 1 (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (- 1)
  (- (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1) (cbrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1) (sqrt (cbrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (sqrt k))
  (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1) (cbrt (sqrt k)))
  (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1)
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ (sqrt k) (cbrt 1))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) 1)
  (real->posit16 (/ 1 (sqrt k)))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (+ (+ (log 2) (log PI)) (log n))
  (+ (log (* 2 PI)) (log n))
  (log (* (* 2 PI) n))
  (exp (* (* 2 PI) n))
  (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* 2 PI) (* (cbrt n) (cbrt n)))
  (* (* 2 PI) (sqrt n))
  (* (* 2 PI) 1)
  (* PI n)
  (real->posit16 (* (* 2 PI) n))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
17.695 * * [simplify]: iteration 1: (243 enodes)
17.833 * * [simplify]: iteration 2: (1032 enodes)
18.138 * * [simplify]: Extracting #0: cost 88 inf + 0
18.140 * * [simplify]: Extracting #1: cost 494 inf + 1
18.145 * * [simplify]: Extracting #2: cost 910 inf + 6871
18.155 * * [simplify]: Extracting #3: cost 829 inf + 54038
18.184 * * [simplify]: Extracting #4: cost 431 inf + 177540
18.236 * * [simplify]: Extracting #5: cost 142 inf + 290533
18.300 * * [simplify]: Extracting #6: cost 50 inf + 343944
18.379 * * [simplify]: Extracting #7: cost 20 inf + 354251
18.444 * * [simplify]: Extracting #8: cost 1 inf + 359922
18.506 * * [simplify]: Extracting #9: cost 0 inf + 360420
18.584 * [simplify]: Simplified to:
  (* (/ (- 1 k) 2) (log (* PI (* n 2))))
  (* (/ (- 1 k) 2) (log (* PI (* n 2))))
  (* (/ (- 1 k) 2) (log (* PI (* n 2))))
  (* (/ (- 1 k) 2) (log (* PI (* n 2))))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (pow (* PI (* n 2)) (/ 1 2))
  (pow (* PI (* n 2)) (/ k 2))
  (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* PI (* n 2)) (sqrt (/ (- 1 k) 2)))
  (pow (* PI (* n 2)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* PI (* n 2)) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k))))
  (pow (* PI (* n 2)) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* PI (* n 2)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* PI (* n 2)) (sqrt (- 1 k)))
  (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ 1 (sqrt 2)))
  (* PI (* n 2))
  (pow (* PI (* n 2)) (/ (/ (+ (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)))
  (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* PI (* n 2)) (+ (sqrt 1) (sqrt k)))
  (pow (* PI (* n 2)) (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2)))
  (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* PI (* n 2)) (+ 1 (sqrt k)))
  (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ 1 (sqrt 2)))
  (* PI (* n 2))
  (* PI (* n 2))
  (pow (* PI (* n 2)) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* PI (* n 2))))
  (exp (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))
  (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (- 1/2)
  (- 1)
  (- (/ 1 2))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (/ 1 k) (sqrt k))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (/ (/ (/ 1 (sqrt k)) (sqrt k)) (sqrt k))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (- 1)
  (- (sqrt k))
  (* (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (cbrt (sqrt k))))
  (/ (cbrt 1) (cbrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (fabs (cbrt k)))
  (/ (cbrt 1) (sqrt (cbrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (* (/ (cbrt 1) (sqrt 1)) (cbrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (* (cbrt 1) (cbrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (/ (sqrt 1) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt 1) (cbrt (sqrt k)))
  (/ (sqrt 1) (fabs (cbrt k)))
  (/ (sqrt 1) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  1
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (sqrt 1)
  (/ (sqrt 1) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (sqrt k)
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ (sqrt k) (cbrt 1))
  (/ (sqrt k) (sqrt 1))
  (sqrt k)
  (real->posit16 (/ 1 (sqrt k)))
  (- 1/2)
  (- 1)
  (- (/ 1 2))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (/ 1 k) (sqrt k))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (/ (/ (/ 1 (sqrt k)) (sqrt k)) (sqrt k))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (- 1)
  (- (sqrt k))
  (* (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (cbrt (sqrt k))))
  (/ (cbrt 1) (cbrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (fabs (cbrt k)))
  (/ (cbrt 1) (sqrt (cbrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (* (/ (cbrt 1) (sqrt 1)) (cbrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (* (cbrt 1) (cbrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (/ (sqrt 1) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt 1) (cbrt (sqrt k)))
  (/ (sqrt 1) (fabs (cbrt k)))
  (/ (sqrt 1) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  1
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (sqrt 1)
  (/ (sqrt 1) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (sqrt k)
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ (sqrt k) (cbrt 1))
  (/ (sqrt k) (sqrt 1))
  (sqrt k)
  (real->posit16 (/ 1 (sqrt k)))
  (* PI (* n 2))
  (* PI (* n 2))
  (log (* PI (* n 2)))
  (log (* PI (* n 2)))
  (log (* PI (* n 2)))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* 2 PI) (* 2 PI)) (* (* (* 2 PI) (* n n)) n))
  (* (* (* 2 PI) (* 2 PI)) (* (* (* 2 PI) (* n n)) n))
  (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2))))
  (cbrt (* PI (* n 2)))
  (* (* PI (* n 2)) (* (* PI (* n 2)) (* PI (* n 2))))
  (sqrt (* PI (* n 2)))
  (sqrt (* PI (* n 2)))
  (* (* (cbrt n) (cbrt n)) (* 2 PI))
  (* PI (* 2 (sqrt n)))
  (* 2 PI)
  (* PI n)
  (real->posit16 (* PI (* n 2)))
  (+ (+ (* (* 1/8 (* (* k (log n)) (* k (log n)))) (exp (* 1/2 (log (* PI (* n 2)))))) (* 1/4 (* (* (log (* 2 PI)) (exp (* 1/2 (log (* PI (* n 2)))))) (* (* k k) (log n))))) (- (+ (exp (* 1/2 (log (* PI (* n 2))))) (* 1/8 (* (exp (* 1/2 (log (* PI (* n 2))))) (* (* k k) (* (log (* 2 PI)) (log (* 2 PI))))))) (* (* k (+ (* (exp (* 1/2 (log (* PI (* n 2))))) (log n)) (* (log (* 2 PI)) (exp (* 1/2 (log (* PI (* n 2)))))))) 1/2)))
  (exp (* (* 1/2 (log (* PI (* n 2)))) (- 1 k)))
  (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (* (- 1 k) 1/2)))
  (- (+ (- (* (* +nan.0 k) k) +nan.0) (* +nan.0 k)))
  (+ (/ (- +nan.0) (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k))))
  (+ (/ (- +nan.0) (* k k)) (- (/ +nan.0 k) +nan.0))
  (- (+ (- (* (* +nan.0 k) k) +nan.0) (* +nan.0 k)))
  (+ (/ (- +nan.0) (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k))))
  (+ (/ (- +nan.0) (* k k)) (- (/ +nan.0 k) +nan.0))
  (* PI (* n 2))
  (* PI (* n 2))
  (* PI (* n 2))
18.609 * * * [progress]: adding candidates to table
21.307 * [progress]: [Phase 3 of 3] Extracting.
21.307 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))> #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (sqrt (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>)
21.308 * * * [regime-changes]: Trying 4 branch expressions: (n (* (* 2 PI) n) k (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
21.308 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))> #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (sqrt (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>)
21.382 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (#<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))> #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (sqrt (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>)
21.464 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))> #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (sqrt (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>)
21.532 * * * * [regimes]: Trying to branch on (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) from (#<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))> #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (sqrt (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>)
21.641 * * * [regime]: Found split indices: #<option (#s(si 7 255))>
21.641 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
21.641 * * [simplify]: iteration 1: (13 enodes)
21.642 * * [simplify]: iteration 2: (18 enodes)
21.643 * * [simplify]: Extracting #0: cost 1 inf + 0
21.643 * * [simplify]: Extracting #1: cost 3 inf + 0
21.643 * * [simplify]: Extracting #2: cost 7 inf + 0
21.643 * * [simplify]: Extracting #3: cost 11 inf + 1
21.644 * * [simplify]: Extracting #4: cost 5 inf + 252
21.644 * * [simplify]: Extracting #5: cost 4 inf + 253
21.644 * * [simplify]: Extracting #6: cost 1 inf + 753
21.644 * * [simplify]: Extracting #7: cost 0 inf + 1248
21.644 * [simplify]: Simplified to:
  (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
30.809 * [regime-testing]: Baseline error score: 0.3551739828205917
30.814 * [regime-testing]: Oracle error score: 0.04248427342157948
30.823 * [regime-testing]: End program error score: 0.3551739828205917